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

Time bar (total: 43.7s)

analyze314.0ms (0.7%)

Memory
8.0MiB live, 167.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
50%49.9%49.9%0.2%0%0%0%4
50%49.9%49.9%0.2%0%0%0%5
50%49.9%49.9%0.2%0%0%0%6
50%49.9%49.9%0.2%0%0%0%7
66.7%49.9%25%0.2%0%25%0%8
66.7%49.9%25%0.2%0%25%0%9
66.7%49.9%25%0.2%0%25%0%10
66.7%49.9%25%0.2%0%25%0%11
80%49.9%12.5%0.2%0%37.4%0%12
Compiler

Compiled 19 to 17 computations (10.5% saved)

sample1.9s (4.4%)

Memory
37.0MiB live, 2 529.9MiB allocated
Samples
1.1s8 256×0valid
328.0ms2 172×0invalid
Precisions
Click to see histograms. Total time spent on operations: 952.0ms
ival-mult: 485.0ms (50.9% of total)
ival-sqrt: 158.0ms (16.6% of total)
ival-exp: 108.0ms (11.3% of total)
ival-sub: 106.0ms (11.1% of total)
ival-div: 72.0ms (7.6% of total)
exact: 11.0ms (1.2% of total)
ival-true: 8.0ms (0.8% of total)
ival-assert: 5.0ms (0.5% of total)
Bogosity

preprocess156.0ms (0.4%)

Memory
-19.7MiB live, 226.8MiB allocated
Algorithm
egg-herbie
Rules
1 466×times-frac
1 444×unsub-neg
1 344×accelerator-lowering-fma.f32
1 344×accelerator-lowering-fma.f64
936×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073248
1192242
2495240
31547240
44036240
56473240
01516
12716
24916
310616
423716
535916
649116
780516
8149216
9192816
10206216
11208016
12208016
13210016
14210816
15210816
0210816
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
Outputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
Call 2
Inputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (* (- (* (neg x) 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (* (- (* x 1/2) (neg y)) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (* (- (* x 1/2) y) (sqrt (* (neg z) 2))) (exp (/ (* t t) 2)))
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* (neg t) (neg t)) 2)))
(neg (* (* (- (* (neg x) 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))))
(neg (* (* (- (* x 1/2) (neg y)) (sqrt (* z 2))) (exp (/ (* t t) 2))))
(neg (* (* (- (* x 1/2) y) (sqrt (* (neg z) 2))) (exp (/ (* t t) 2))))
(neg (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* (neg t) (neg t)) 2))))
(* (* (- (* y 1/2) x) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (* (- (* z 1/2) y) (sqrt (* x 2))) (exp (/ (* t t) 2)))
(* (* (- (* t 1/2) y) (sqrt (* z 2))) (exp (/ (* x x) 2)))
(* (* (- (* x 1/2) z) (sqrt (* y 2))) (exp (/ (* t t) 2)))
(* (* (- (* x 1/2) t) (sqrt (* z 2))) (exp (/ (* y y) 2)))
(* (* (- (* x 1/2) y) (sqrt (* t 2))) (exp (/ (* z z) 2)))
Outputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (- (* x 1/2) y) (* (sqrt (* z 2)) (pow (sqrt (exp t)) t)))
(* (* (- (* (neg x) 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (pow (sqrt (exp t)) t) (* (sqrt (* z 2)) (- (* x -1/2) y)))
(* (* (- (* x 1/2) (neg y)) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (pow (sqrt (exp t)) t) (* (sqrt (* z 2)) (+ (* x 1/2) y)))
(* (* (- (* x 1/2) y) (sqrt (* (neg z) 2))) (exp (/ (* t t) 2)))
(* (- (* x 1/2) y) (* (pow (sqrt (exp t)) t) (sqrt (* z -2))))
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* (neg t) (neg t)) 2)))
(* (- (* x 1/2) y) (* (sqrt (* z 2)) (pow (sqrt (exp t)) t)))
(neg (* (* (- (* (neg x) 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))))
(* (pow (sqrt (exp t)) t) (* (sqrt (* z 2)) (+ (* x 1/2) y)))
(neg (* (* (- (* x 1/2) (neg y)) (sqrt (* z 2))) (exp (/ (* t t) 2))))
(* (pow (sqrt (exp t)) t) (* (sqrt (* z 2)) (- (* x -1/2) y)))
(neg (* (* (- (* x 1/2) y) (sqrt (* (neg z) 2))) (exp (/ (* t t) 2))))
(* (pow (sqrt (exp t)) t) (* (sqrt (* z -2)) (+ y (* x -1/2))))
(neg (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* (neg t) (neg t)) 2))))
(* (sqrt (* z 2)) (* (pow (sqrt (exp t)) t) (+ y (* x -1/2))))
(* (* (- (* y 1/2) x) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (sqrt (* z 2)) (* (pow (sqrt (exp t)) t) (- (* 1/2 y) x)))
(* (* (- (* z 1/2) y) (sqrt (* x 2))) (exp (/ (* t t) 2)))
(* (pow (sqrt (exp t)) t) (* (- (* 1/2 z) y) (sqrt (* x 2))))
(* (* (- (* t 1/2) y) (sqrt (* z 2))) (exp (/ (* x x) 2)))
(* (sqrt (* z 2)) (* (sqrt (pow (exp x) x)) (- (* 1/2 t) y)))
(* (* (- (* x 1/2) z) (sqrt (* y 2))) (exp (/ (* t t) 2)))
(* (- (* x 1/2) z) (* (pow (sqrt (exp t)) t) (sqrt (* y 2))))
(* (* (- (* x 1/2) t) (sqrt (* z 2))) (exp (/ (* y y) 2)))
(* (sqrt (* z 2)) (* (- (* x 1/2) t) (sqrt (pow (exp y) y))))
(* (* (- (* x 1/2) y) (sqrt (* t 2))) (exp (/ (* z z) 2)))
(* (- (* x 1/2) y) (* (sqrt (* 2 t)) (sqrt (pow (exp z) z))))
Symmetry

(abs t)

explain153.0ms (0.4%)

Memory
31.0MiB live, 429.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
01(-1.2302660934669576e-190 -2.347617572284799e+301 2.382013588645042e-281 15.36702882840721)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*o20
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))underflow3
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))overflow146
(/.f64 (*.f64 t t) #s(literal 2 binary64))overflow67
(*.f64 t t)overflow67
exp.f64(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))sensitivity10
Confusion
Predicted +Predicted -
+20
-1253
Precision
0.6666666666666666
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-10253
Precision?
0.6666666666666666
Recall?
1.0
Freqs
test
numberfreq
0253
13
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
56.0ms512×0valid
Compiler

Compiled 170 to 64 computations (62.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 15.0ms (46.8% of total)
ival-exp: 6.0ms (18.7% of total)
ival-div: 4.0ms (12.5% of total)
ival-sqrt: 4.0ms (12.5% of total)
ival-sub: 3.0ms (9.4% of total)
exact: 1.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify99.0ms (0.2%)

Memory
-23.8MiB live, 51.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
cost-diff0
(*.f64 z #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Rules
1 344×accelerator-lowering-fma.f32
1 344×accelerator-lowering-fma.f64
922×*-lowering-*.f32
922×*-lowering-*.f64
416×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01560
12760
24960
310660
423760
535960
649160
780560
8149260
9192860
10206260
11208060
12208060
13210060
14210860
15210860
0210860
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (* (- (* 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))
(* z 2)
z
2
(exp (/ (* t t) 2))
(/ (* t t) 2)
(* t t)
t
Outputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64))
(- (* x 1/2) y)
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)
(* x 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(exp (/ (* t t) 2))
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(/ (* t t) 2)
(/.f64 (*.f64 t t) #s(literal 2 binary64))
(* t t)
(*.f64 t t)
t

localize43.0ms (0.1%)

Memory
30.2MiB live, 66.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy100.0%
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
accuracy99.6%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy99.2%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
Samples
26.0ms256×0valid
Compiler

Compiled 64 to 17 computations (73.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 7.0ms (46.9% of total)
ival-div: 2.0ms (13.4% of total)
ival-exp: 2.0ms (13.4% of total)
ival-sqrt: 2.0ms (13.4% of total)
ival-sub: 1.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.1%)

Memory
-18.2MiB live, 31.9MiB allocated
Counts
6 → 144
Calls
Call 1
Inputs
#<alt (- (* x 1/2) y)>
#<alt (sqrt (* z 2))>
#<alt (* z 2)>
#<alt (exp (/ (* t t) 2))>
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))>
#<alt (* (- (* x 1/2) y) (sqrt (* z 2)))>
Outputs
#<alt (* -1 y)>
#<alt (- (* 1/2 x) y)>
#<alt (- (* 1/2 x) y)>
#<alt (- (* 1/2 x) y)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow t 2)))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
Calls

36 calls:

TimeVariablePointExpression
5.0ms
t
@0
(exp (/ (* t t) 2))
3.0ms
t
@inf
(exp (/ (* t t) 2))
2.0ms
y
@inf
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
1.0ms
z
@0
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
1.0ms
x
@0
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))

rewrite390.0ms (0.9%)

Memory
-2.9MiB live, 670.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 922×accelerator-lowering-fma.f32
6 922×accelerator-lowering-fma.f64
4 292×/-lowering-/.f32
4 292×/-lowering-/.f64
3 846×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01543
15442
227642
3234342
0860842
Stop Event
iter limit
node limit
Counts
6 → 418
Calls
Call 1
Inputs
(- (* x 1/2) y)
(sqrt (* z 2))
(* z 2)
(exp (/ (* t t) 2))
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (- (* x 1/2) y) (sqrt (* z 2)))
Outputs
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))
(+.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1 binary64)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(-.f64 #s(literal 0 binary64) (-.f64 y (*.f64 x #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/512 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 y y (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y)))))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/512 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))))) (fma.f64 y y (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y)))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))))) (fma.f64 y y (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y y (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y)))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y y (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))))) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))))) (fma.f64 x #s(literal 1/2 binary64) y)))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/512 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))
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(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))))) (fma.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))

simplify860.0ms (2%)

Memory
-12.3MiB live, 756.7MiB allocated
Algorithm
egg-herbie
Rules
18 894×accelerator-lowering-fma.f32
18 894×accelerator-lowering-fma.f64
6 258×*-lowering-*.f32
6 258×*-lowering-*.f64
4 660×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01372123
14561644
215811551
344681548
088541536
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* -1 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(* -1 y)
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
Outputs
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- (* 1/2 x) y)
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))
(- (* 1/2 x) y)
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))
(- (* 1/2 x) y)
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* x (+ 1/2 (* -1 (/ y x))))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))
(* x (+ 1/2 (* -1 (/ y x))))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))
(* x (+ 1/2 (* -1 (/ y x))))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* -1 (* x (- (/ y x) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x (- (/ y x) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x (- (/ y x) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(+ (* -1 y) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))
(+ (* -1 y) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))
(+ (* -1 y) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (* 1/2 (/ x y)) 1))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))
(* y (- (* 1/2 (/ x y)) 1))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))
(* y (- (* 1/2 (/ x y)) 1))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(exp (* 1/2 (pow t 2)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.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 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.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 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.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 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
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(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -2 binary64))))))

eval183.0ms (0.4%)

Memory
20.6MiB live, 96.4MiB allocated
Compiler

Compiled 20 848 to 1 673 computations (92% saved)

prune376.0ms (0.9%)

Memory
-16.3MiB live, 142.6MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New54616562
Fresh000
Picked101
Done000
Total54716563
Accuracy
100.0%
Counts
563 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.9%
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))))))
99.8%
(/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
49.4%
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
76.7%
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))))
99.8%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
31.9%
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
91.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
89.2%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
80.2%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
99.1%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t)))
99.1%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
49.6%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
98.9%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
89.1%
(*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
83.0%
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 842 to 556 computations (34% saved)

simplify850.0ms (1.9%)

Memory
15.0MiB live, 485.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 1/4 binary64))
cost-diff0
(-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))
cost-diff0
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
cost-diff0
(*.f64 z #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff64
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
cost-diff0
(*.f64 z #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff64
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
cost-diff0
(*.f64 z #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff320
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff0
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))
cost-diff0
(sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))
cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff0
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
Rules
11 334×accelerator-lowering-fma.f32
11 334×accelerator-lowering-fma.f64
3 446×*-lowering-*.f32
3 446×*-lowering-*.f64
3 116×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037359
197355
2253353
3886353
42590353
55760353
08105343
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (- (* x 1/2) y) (sqrt (* (* z 2) (exp (* t t)))))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(sqrt (* (* z 2) (exp (* t t))))
(* (* z 2) (exp (* t t)))
(* z 2)
z
2
(exp (* t t))
(* t t)
t
(* (* (- (* x 1/2) y) (sqrt (* z 2))) 1)
(* (- (* x 1/2) y) (sqrt (* z 2)))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(sqrt (* z 2))
(* z 2)
z
2
1
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(sqrt (* z 2))
(* z 2)
z
2
(+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1)
t
(* t (+ (* (* t t) 1/8) 1/2))
(+ (* (* t t) 1/8) 1/2)
(* t t)
1/8
1
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* 1/2 (* t t))))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(sqrt (* z 2))
(* z 2)
z
2
(exp (* 1/2 (* t t)))
(* 1/2 (* t t))
(* t t)
t
(* (- (* x (* x 1/4)) (* y y)) (* (/ 1 (+ (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t))))))
(- (* x (* x 1/4)) (* y y))
(* x (* x 1/4))
x
(* x 1/4)
1/4
(* y y)
y
(* (/ 1 (+ (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t)))))
(/ 1 (+ (* x 1/2) y))
1
(+ (* x 1/2) y)
1/2
(sqrt (* (* z 2) (exp (* t t))))
(* (* z 2) (exp (* t t)))
(* z 2)
z
2
(exp (* t t))
(* t t)
t
Outputs
(* (- (* x 1/2) y) (sqrt (* (* z 2) (exp (* t t)))))
(*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(- (* x 1/2) y)
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)
(* x 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(sqrt (* (* z 2) (exp (* t t))))
(sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))
(* (* z 2) (exp (* t t)))
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(exp (* t t))
(exp.f64 (*.f64 t t))
(* t t)
(*.f64 t t)
t
(* (* (- (* x 1/2) y) (sqrt (* z 2))) 1)
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64))
(- (* x 1/2) y)
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)
(* x 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64))
(- (* x 1/2) y)
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)
(* x 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1)
(fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
t
(* t (+ (* (* t t) 1/8) 1/2))
(*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(+ (* (* t t) 1/8) 1/2)
(fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(* t t)
(*.f64 t t)
1/8
#s(literal 1/8 binary64)
1
#s(literal 1 binary64)
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* 1/2 (* t t))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t)))))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64))
(- (* x 1/2) y)
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)
(* x 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(exp (* 1/2 (* t t)))
(exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t)))
(* 1/2 (* t t))
(*.f64 t (*.f64 #s(literal 1/2 binary64) t))
(* t t)
(*.f64 t t)
t
(* (- (* x (* x 1/4)) (* y y)) (* (/ 1 (+ (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t))))))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y))))
(- (* x (* x 1/4)) (* y y))
(-.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(* x (* x 1/4))
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
x
(* x 1/4)
(*.f64 x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* y y)
(fma.f64 y y #s(literal 0 binary64))
y
(* (/ 1 (+ (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t)))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/ 1 (+ (* x 1/2) y))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))
1
#s(literal 1 binary64)
(+ (* x 1/2) y)
(fma.f64 x #s(literal 1/2 binary64) y)
1/2
#s(literal 1/2 binary64)
(sqrt (* (* z 2) (exp (* t t))))
(sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))
(* (* z 2) (exp (* t t)))
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(exp (* t t))
(exp.f64 (*.f64 t t))
(* t t)
(*.f64 t t)
t

localize340.0ms (0.8%)

Memory
13.5MiB live, 320.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 (*.f64 t t))
accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
accuracy94.7%
(-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))
accuracy81.5%
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))))
accuracy100.0%
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy100.0%
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
accuracy99.6%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy99.2%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
accuracy99.9%
(fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
accuracy99.9%
(*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
accuracy99.6%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy97.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
accuracy100.0%
(*.f64 z #s(literal 2 binary64))
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy99.6%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy100.0%
(sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))
accuracy100.0%
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))
accuracy100.0%
(exp.f64 (*.f64 t t))
accuracy99.9%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
Samples
227.0ms256×0valid
Compiler

Compiled 353 to 39 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 192.0ms
ival-exp: 82.0ms (42.6% of total)
ival-sub: 76.0ms (39.5% of total)
ival-mult: 25.0ms (13% of total)
ival-add: 3.0ms (1.6% of total)
ival-sqrt: 3.0ms (1.6% of total)
ival-div: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series115.0ms (0.3%)

Memory
-12.0MiB live, 124.4MiB allocated
Counts
19 → 504
Calls
Call 1
Inputs
#<alt (* (- (* x 1/2) y) (sqrt (* (* z 2) (exp (* t t)))))>
#<alt (- (* x 1/2) y)>
#<alt (sqrt (* (* z 2) (exp (* t t))))>
#<alt (* (* z 2) (exp (* t t)))>
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) 1)>
#<alt (sqrt (* z 2))>
#<alt (* z 2)>
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1))>
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* 1/2 (* t t))))>
#<alt (* (/ 1 (+ (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t)))))>
#<alt (* (- (* x (* x 1/4)) (* y y)) (* (/ 1 (+ (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t))))))>
#<alt (- (* x (* x 1/4)) (* y y))>
#<alt (* x 1/4)>
#<alt (exp (* t t))>
#<alt (* (- (* x 1/2) y) (sqrt (* z 2)))>
#<alt (* x 1/2)>
#<alt (* t (+ (* (* t t) 1/8) 1/2))>
#<alt (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1)>
#<alt (exp (* 1/2 (* t t)))>
Outputs
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* -1 y)>
#<alt (- (* 1/2 x) y)>
#<alt (- (* 1/2 x) y)>
#<alt (- (* 1/2 x) y)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))>
#<alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))>
#<alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 z)>
#<alt (+ (* 2 z) (* 2 (* (pow t 2) z)))>
#<alt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))>
#<alt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))))>
#<alt (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))))))>
#<alt (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) y) (sqrt z)))))>
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#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x)))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x)))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x)))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x)))))>
#<alt (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (+ (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x))) (sqrt z))) (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))))>
#<alt (+ (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (* (- (* 1/4 (pow x 2)) (pow y 2)) (- (* 1/2 z) (* 1/4 z))))) (+ y (* 1/2 x))) (sqrt (/ 1 z)))))))>
#<alt (+ (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (* (sqrt 2) (* (- (* 1/4 (pow x 2)) (pow y 2)) (- (* 1/2 z) (* 1/4 z)))) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/4 (pow x 2)) (pow y 2))))) (+ y (* 1/2 x))) (sqrt (/ 1 z)))))))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* -1 (pow y 2))>
#<alt (- (* 1/4 (pow x 2)) (pow y 2))>
#<alt (- (* 1/4 (pow x 2)) (pow y 2))>
#<alt (- (* 1/4 (pow x 2)) (pow y 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* 1/4 (pow x 2))>
#<alt (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))>
#<alt (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))>
#<alt (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))>
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))>
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))>
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))>
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt 1>
#<alt (+ 1 (pow t 2))>
#<alt (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))>
#<alt (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))>
#<alt (exp (pow t 2))>
#<alt (exp (pow t 2))>
#<alt (exp (pow t 2))>
#<alt (exp (pow t 2))>
#<alt (exp (pow t 2))>
#<alt (exp (pow t 2))>
#<alt (exp (pow t 2))>
#<alt (exp (pow t 2))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 t)>
#<alt (* t (+ 1/2 (* 1/8 (pow t 2))))>
#<alt (* t (+ 1/2 (* 1/8 (pow t 2))))>
#<alt (* t (+ 1/2 (* 1/8 (pow t 2))))>
#<alt (* 1/8 (pow t 3))>
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* 1/8 (pow t 3))>
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow t 2)))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))>
#<alt (* 1/8 (pow t 4))>
#<alt (* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))>
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))>
#<alt (* 1/8 (pow t 4))>
#<alt (* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))>
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow t 2)))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
Calls

126 calls:

TimeVariablePointExpression
32.0ms
z
@0
(* (/ 1 (+ (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t)))))
24.0ms
z
@0
(sqrt (* z 2))
7.0ms
x
@0
(* (- (* x (* x 1/4)) (* y y)) (* (/ 1 (+ (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t))))))
3.0ms
z
@-inf
(* (- (* x 1/2) y) (sqrt (* (* z 2) (exp (* t t)))))
2.0ms
z
@0
(* (- (* x (* x 1/4)) (* y y)) (* (/ 1 (+ (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t))))))

rewrite713.0ms (1.6%)

Memory
12.3MiB live, 1 155.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 440×accelerator-lowering-fma.f32
8 440×accelerator-lowering-fma.f64
5 516×*-lowering-*.f32
5 516×*-lowering-*.f64
4 234×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037182
1166179
21194179
08945173
Stop Event
iter limit
node limit
Counts
19 → 1 379
Calls
Call 1
Inputs
(* (- (* x 1/2) y) (sqrt (* (* z 2) (exp (* t t)))))
(- (* x 1/2) y)
(sqrt (* (* z 2) (exp (* t t))))
(* (* z 2) (exp (* t t)))
(* (* (- (* x 1/2) y) (sqrt (* z 2))) 1)
(sqrt (* z 2))
(* z 2)
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1))
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* 1/2 (* t t))))
(* (/ 1 (+ (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t)))))
(* (- (* x (* x 1/4)) (* y y)) (* (/ 1 (+ (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t))))))
(- (* x (* x 1/4)) (* y y))
(* x 1/4)
(exp (* t t))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(* x 1/2)
(* t (+ (* (* t t) 1/8) 1/2))
(+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1)
(exp (* 1/2 (* t t)))
Outputs
(+.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))))
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y))) (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (-.f64 #s(literal 0 binary64) y))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)))))
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y))))
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 1 binary64)))
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(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 t t))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) t))) t))
(fabs.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(sqrt.f64 (exp.f64 (*.f64 t t)))
(pow.f64 (exp.f64 (*.f64 t t)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 t t))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) t)) t)
(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 1 binary64))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))
(*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 t t)) #s(literal 1/4 binary64)) (pow.f64 (exp.f64 (*.f64 t t)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (sqrt.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))
(*.f64 (pow.f64 (exp.f64 t) (/.f64 (*.f64 #s(literal 1/2 binary64) t) #s(literal 2 binary64))) (pow.f64 (exp.f64 t) (/.f64 (*.f64 #s(literal 1/2 binary64) t) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) t)) (*.f64 #s(literal 1/2 binary64) t)) (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) t)) (*.f64 #s(literal 1/2 binary64) t)))

simplify611.0ms (1.4%)

Memory
-12.5MiB live, 1 154.2MiB allocated
Algorithm
egg-herbie
Rules
11 078×accelerator-lowering-fma.f32
11 078×accelerator-lowering-fma.f64
9 622×*-lowering-*.f32
9 622×*-lowering-*.f64
2 696×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054310128
117848909
262668402
083098052
Stop Event
iter limit
node limit
Counts
504 → 504
Calls
Call 1
Inputs
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
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(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
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(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2)))))
(+ (* -1/2 (* (/ (* x (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2))))))
(+ (* x (+ (* -1/2 (* (/ (sqrt 2) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (/ (* x (sqrt 2)) (pow y 3)) (sqrt (* z (exp (pow t 2)))))))) (* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2))))))
(+ (* x (+ (* -1/2 (* (/ (sqrt 2) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* x (+ (* -1/8 (* (/ (* x (sqrt 2)) (pow y 4)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (/ (sqrt 2) (pow y 3)) (sqrt (* z (exp (pow t 2)))))))))) (* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2))))))
(* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2))))))
(/ (+ (* -4 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))) x)
(/ (+ (* -4 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (+ (* 2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 8 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2)))))))) x)
(/ (+ (* -16 (* (/ (* (pow y 3) (sqrt 2)) (pow x 3)) (sqrt (* z (exp (pow t 2)))))) (+ (* -4 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (+ (* 2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 8 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2))))))))) x)
(* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2))))))
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(* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2))))))
(+ (* -4 (* (/ (* y (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2)))))))
(+ (* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2)))))) (* y (+ (* -4 (* (/ (sqrt 2) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* 8 (* (/ (* y (sqrt 2)) (pow x 3)) (sqrt (* z (exp (pow t 2)))))))))
(+ (* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2)))))) (* y (+ (* -4 (* (/ (sqrt 2) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* y (+ (* -16 (* (/ (* y (sqrt 2)) (pow x 4)) (sqrt (* z (exp (pow t 2)))))) (* 8 (* (/ (sqrt 2) (pow x 3)) (sqrt (* z (exp (pow t 2)))))))))))
(* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2)))))
(/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) y)
(/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))) y)
(/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (+ (* -1/8 (* (/ (* (pow x 3) (sqrt 2)) (pow y 3)) (sqrt (* z (exp (pow t 2)))))) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) y)
(* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2)))))
(* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y))
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(* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/8 (* (/ (* (pow x 3) (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y)) (* -1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) y))) y))
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))
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(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (sqrt -1)) (+ y (* 1/2 x)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (sqrt -1)) (+ y (* 1/2 x)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (sqrt -1)) (+ y (* 1/2 x)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (sqrt -1)) (+ y (* 1/2 x)))))
(* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x))))
(+ (* 1/2 (* (/ (* (pow t 2) (sqrt 2)) (+ y (* 1/2 x))) (sqrt z))) (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x)))))
(+ (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (+ y (* 1/2 x))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x))))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (+ y (* 1/2 x))) (sqrt (/ 1 z)))))))))
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x)))))
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))
(+ (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x))) (sqrt z))) (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))))
(+ (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (* (- (* 1/4 (pow x 2)) (pow y 2)) (- (* 1/2 z) (* 1/4 z))))) (+ y (* 1/2 x))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (* (sqrt 2) (* (- (* 1/4 (pow x 2)) (pow y 2)) (- (* 1/2 z) (* 1/4 z)))) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/4 (pow x 2)) (pow y 2))))) (+ y (* 1/2 x))) (sqrt (/ 1 z)))))))))
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))
(* -1 (pow y 2))
(- (* 1/4 (pow x 2)) (pow y 2))
(- (* 1/4 (pow x 2)) (pow y 2))
(- (* 1/4 (pow x 2)) (pow y 2))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* 1/4 (pow x 2))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(* -1 (pow y 2))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
1
(+ 1 (pow t 2))
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 t)
(* t (+ 1/2 (* 1/8 (pow t 2))))
(* t (+ 1/2 (* 1/8 (pow t 2))))
(* t (+ 1/2 (* 1/8 (pow t 2))))
(* 1/8 (pow t 3))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* 1/8 (pow t 3))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(* 1/8 (pow t 4))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* 1/8 (pow t 4))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
Outputs
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
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1
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eval470.0ms (1.1%)

Memory
49.0MiB live, 939.8MiB allocated
Compiler

Compiled 115 760 to 4 362 computations (96.2% saved)

prune538.0ms (1.2%)

Memory
-26.8MiB live, 908.0MiB allocated
Pruning

45 alts after pruning (45 fresh and 0 done)

PrunedKeptTotal
New3 043423 085
Fresh8311
Picked505
Done000
Total3 056453 101
Accuracy
100.0%
Counts
3 101 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.3%
(fma.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
88.9%
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))))))
21.0%
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
47.6%
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
52.5%
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
16.8%
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y)))
49.6%
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
89.2%
(*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
43.7%
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
90.3%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
49.4%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
91.8%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
79.8%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
99.9%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))))
88.0%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
49.6%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
57.0%
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
66.0%
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
90.3%
(*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
91.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
51.1%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (/.f64 (*.f64 t (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (-.f64 (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1/16 binary64))))) #s(literal 1 binary64)))
88.9%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
80.2%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
99.1%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t)))
50.0%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))
49.5%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
54.4%
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
27.2%
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
17.1%
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 y y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
53.5%
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
51.4%
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
51.5%
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
49.0%
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
50.0%
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) #s(literal 1/8 binary64))))
51.4%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
60.6%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
24.8%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
54.3%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
24.8%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
51.4%
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
63.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
49.5%
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
27.1%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y)))
60.3%
(*.f64 y (*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 x y)) #s(literal 1/2 binary64)))))
50.0%
(*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))))
Compiler

Compiled 2 264 to 1 496 computations (33.9% saved)

simplify280.0ms (0.6%)

Memory
-2.7MiB live, 354.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff64
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
cost-diff320
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff1344
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
cost-diff2112
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
cost-diff0
(fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 z)
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y)))
cost-diff0
(fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))
cost-diff0
(*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))
cost-diff0
(sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))
cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff0
(*.f64 z #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
cost-diff0
(-.f64 #s(literal 0 binary64) y)
cost-diff320
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff0
(*.f64 z #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))
cost-diff0
(sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t)))
cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Rules
7 100×accelerator-lowering-fma.f32
7 100×accelerator-lowering-fma.f64
4 382×*-lowering-*.f32
4 382×*-lowering-*.f64
1 790×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044343
1120313
2390309
31611308
45386308
08091291
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (- (* x 1/2) y) (sqrt (* (* z 2) (pow (exp t) t))))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(sqrt (* (* z 2) (pow (exp t) t)))
(* (* z 2) (pow (exp t) t))
(* z 2)
z
2
(pow (exp t) t)
(exp t)
t
(* (* (- 0 y) (sqrt (* z 2))) 1)
(* (- 0 y) (sqrt (* z 2)))
(- 0 y)
0
y
(sqrt (* z 2))
(* z 2)
z
2
1
(* (- (* x 1/2) y) (sqrt (* z (+ (* (+ (* t t) 2) (* t t)) 2))))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(sqrt (* z (+ (* (+ (* t t) 2) (* t t)) 2)))
(* z (+ (* (+ (* t t) 2) (* t t)) 2))
z
(+ (* (+ (* t t) 2) (* t t)) 2)
(+ (* t t) 2)
t
2
(* t t)
(* (* (sqrt 2) (neg (* (sqrt z) y))) (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1))
(* (sqrt 2) (neg (* (sqrt z) y)))
(sqrt 2)
2
(neg (* (sqrt z) y))
(* (sqrt z) y)
(sqrt z)
z
y
(+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1)
t
(* t (+ (* (* t t) 1/8) 1/2))
(+ (* (* t t) 1/8) 1/2)
(* t t)
1/8
1/2
1
(* (* (* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) 1)
(* (* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2)))
(* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y))))
(/ 1 (- (* x 1/2) y))
1
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))
(sqrt (* z 2))
(* z 2)
z
2
Outputs
(* (- (* x 1/2) y) (sqrt (* (* z 2) (pow (exp t) t))))
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))) #s(literal 0 binary64))
(- (* x 1/2) y)
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)
(* x 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(sqrt (* (* z 2) (pow (exp t) t)))
(sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t)))
(* (* z 2) (pow (exp t) t))
(*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(pow (exp t) t)
(pow.f64 (exp.f64 t) t)
(exp t)
(exp.f64 t)
t
(* (* (- 0 y) (sqrt (* z 2))) 1)
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* (- 0 y) (sqrt (* z 2)))
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(- 0 y)
(-.f64 #s(literal 0 binary64) y)
0
#s(literal 0 binary64)
y
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
(* (- (* x 1/2) y) (sqrt (* z (+ (* (+ (* t t) 2) (* t t)) 2))))
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(- (* x 1/2) y)
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)
(* x 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(sqrt (* z (+ (* (+ (* t t) 2) (* t t)) 2)))
(sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))
(* z (+ (* (+ (* t t) 2) (* t t)) 2))
(*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))
z
(+ (* (+ (* t t) 2) (* t t)) 2)
(fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))
(+ (* t t) 2)
(fma.f64 t t #s(literal 2 binary64))
t
2
#s(literal 2 binary64)
(* t t)
(*.f64 t t)
(* (* (sqrt 2) (neg (* (sqrt z) y))) (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (sqrt 2) (neg (* (sqrt z) y)))
(fma.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(neg (* (sqrt z) y))
(fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 0 binary64))
(* (sqrt z) y)
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64))
(sqrt z)
(sqrt.f64 z)
z
y
(+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1)
(fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
t
(* t (+ (* (* t t) 1/8) 1/2))
(*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(+ (* (* t t) 1/8) 1/2)
(fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(* t t)
(*.f64 t t)
1/8
#s(literal 1/8 binary64)
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(* (* (* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) 1)
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64))
(* (* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2)))
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64))
(* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y))))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)
(/ 1 (- (* x 1/2) y))
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
1
#s(literal 1 binary64)
(- (* x 1/2) y)
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)
(* x 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y) #s(literal 0 binary64))
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)

localize184.0ms (0.4%)

Memory
12.6MiB live, 326.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
accuracy99.7%
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
accuracy99.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy54.4%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
accuracy99.9%
(*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
accuracy99.7%
(*.f64 (sqrt.f64 z) y)
accuracy99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y)))
accuracy93.2%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
accuracy99.9%
(fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))
accuracy98.3%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
accuracy96.3%
(*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))
accuracy84.8%
(sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))
accuracy100.0%
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy100.0%
(*.f64 z #s(literal 2 binary64))
accuracy100.0%
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy99.6%
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy100.0%
(sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t)))
accuracy100.0%
(exp.f64 t)
accuracy100.0%
(*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))
accuracy99.9%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))))
Samples
115.0ms256×0valid
Compiler

Compiled 353 to 46 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 33.0ms (39.6% of total)
ival-div: 26.0ms (31.2% of total)
ival-sqrt: 8.0ms (9.6% of total)
ival-pow: 6.0ms (7.2% of total)
ival-add: 5.0ms (6% of total)
ival-exp: 2.0ms (2.4% of total)
ival-sub: 2.0ms (2.4% of total)
exact: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series96.0ms (0.2%)

Memory
6.2MiB live, 196.8MiB allocated
Counts
26 → 588
Calls
Call 1
Inputs
#<alt (- (* x 1/2) y)>
#<alt (sqrt (* (* z 2) (pow (exp t) t)))>
#<alt (* (* z 2) (pow (exp t) t))>
#<alt (* z 2)>
#<alt (* (* (- 0 y) (sqrt (* z 2))) 1)>
#<alt (- 0 y)>
#<alt (sqrt (* z 2))>
#<alt (sqrt (* z (+ (* (+ (* t t) 2) (* t t)) 2)))>
#<alt (* z (+ (* (+ (* t t) 2) (* t t)) 2))>
#<alt (+ (* (+ (* t t) 2) (* t t)) 2)>
#<alt (* (sqrt 2) (neg (* (sqrt z) y)))>
#<alt (sqrt 2)>
#<alt (sqrt z)>
#<alt (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1)>
#<alt (* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y))))>
#<alt (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))>
#<alt (* (* (* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) 1)>
#<alt (/ 1 (- (* x 1/2) y))>
#<alt (* (- (* x 1/2) y) (sqrt (* (* z 2) (pow (exp t) t))))>
#<alt (exp t)>
#<alt (* (- 0 y) (sqrt (* z 2)))>
#<alt (* (- (* x 1/2) y) (sqrt (* z (+ (* (+ (* t t) 2) (* t t)) 2))))>
#<alt (* (* (sqrt 2) (neg (* (sqrt z) y))) (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1))>
#<alt (* (sqrt z) y)>
#<alt (* t (+ (* (* t t) 1/8) 1/2))>
#<alt (* (* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2)))>
Outputs
#<alt (* -1 y)>
#<alt (- (* 1/2 x) y)>
#<alt (- (* 1/2 x) y)>
#<alt (- (* 1/2 x) y)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))>
#<alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))>
#<alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 z)>
#<alt (+ (* 2 z) (* 2 (* (pow t 2) z)))>
#<alt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))>
#<alt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))>
#<alt (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))>
#<alt (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))>
#<alt (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))>
#<alt (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))>
#<alt (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))>
#<alt (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))>
#<alt (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))>
#<alt (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))>
#<alt (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))>
#<alt (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))>
#<alt (* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (pow (sqrt -1) 2)))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (+ (* (sqrt z) (sqrt 2)) (* (/ (pow t 2) (sqrt 2)) (sqrt z)))>
#<alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- z (/ z (pow (sqrt 2) 2)))) (sqrt 2)) (sqrt (/ 1 z)))) (* (sqrt z) (/ 1 (sqrt 2))))))>
#<alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* (sqrt z) (/ 1 (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (- z (/ z (pow (sqrt 2) 2))) (sqrt 2)))) (* 1/2 (* (/ (* (pow t 2) (- (/ z (pow (sqrt 2) 4)) (/ z (pow (sqrt 2) 2)))) (sqrt 2)) (sqrt (/ 1 z)))))))))>
#<alt (* (pow t 2) (sqrt z))>
#<alt (* (pow t 2) (+ (sqrt z) (* (/ 1 (pow t 2)) (sqrt z))))>
#<alt (* (pow t 2) (+ (sqrt z) (+ (* 1/2 (* (/ (- (* 2 z) z) (pow t 4)) (sqrt (/ 1 z)))) (* (/ 1 (pow t 2)) (sqrt z)))))>
#<alt (* (pow t 2) (+ (sqrt z) (+ (* 1/2 (* (/ (- z (* 2 z)) (pow t 6)) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- (* 2 z) z) (pow t 4)) (sqrt (/ 1 z)))) (* (/ 1 (pow t 2)) (sqrt z))))))>
#<alt (* (pow t 2) (sqrt z))>
#<alt (* (pow t 2) (+ (sqrt z) (* (/ 1 (pow t 2)) (sqrt z))))>
#<alt (* (pow t 2) (+ (sqrt z) (+ (* 1/2 (* (/ (- (* 2 z) z) (pow t 4)) (sqrt (/ 1 z)))) (* (/ 1 (pow t 2)) (sqrt z)))))>
#<alt (* (pow t 2) (+ (sqrt z) (+ (* 1/2 (* (/ (- z (* 2 z)) (pow t 6)) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- (* 2 z) z) (pow t 4)) (sqrt (/ 1 z)))) (* (/ 1 (pow t 2)) (sqrt z))))))>
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))>
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))>
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))>
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))>
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))>
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))>
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))>
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))>
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))>
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))>
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))>
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))>
#<alt (* 2 z)>
#<alt (+ (* 2 z) (* 2 (* (pow t 2) z)))>
#<alt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))>
#<alt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))>
#<alt (* (pow t 4) z)>
#<alt (* (pow t 4) (+ z (* 2 (/ z (pow t 2)))))>
#<alt (* (pow t 4) (+ z (+ (* 2 (/ z (pow t 2))) (* 2 (/ z (pow t 4))))))>
#<alt (* (pow t 4) (+ z (+ (* 2 (/ z (pow t 2))) (* 2 (/ z (pow t 4))))))>
#<alt (* (pow t 4) z)>
#<alt (* (pow t 4) (+ z (* 2 (/ z (pow t 2)))))>
#<alt (* (pow t 4) (+ z (+ (* 2 (/ z (pow t 2))) (* 2 (/ z (pow t 4))))))>
#<alt (* (pow t 4) (+ z (+ (* 2 (/ z (pow t 2))) (* 2 (/ z (pow t 4))))))>
#<alt 2>
#<alt (+ 2 (* 2 (pow t 2)))>
#<alt (+ 2 (* (pow t 2) (+ 2 (pow t 2))))>
#<alt (+ 2 (* (pow t 2) (+ 2 (pow t 2))))>
#<alt (pow t 4)>
#<alt (* (pow t 4) (+ 1 (* 2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 4) (+ 1 (+ (* 2 (/ 1 (pow t 2))) (/ 2 (pow t 4)))))>
#<alt (* (pow t 4) (+ 1 (+ (* 2 (/ 1 (pow t 2))) (/ 2 (pow t 4)))))>
#<alt (pow t 4)>
#<alt (* (pow t 4) (+ 1 (* 2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 4) (+ 1 (+ (* 2 (/ 1 (pow t 2))) (/ 2 (pow t 4)))))>
#<alt (* (pow t 4) (+ 1 (+ (* 2 (/ 1 (pow t 2))) (/ 2 (pow t 4)))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* (* y (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z))>
#<alt (* (* y (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z))>
#<alt (* (* y (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z))>
#<alt (* (* y (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (sqrt z)>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow t 2)))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))>
#<alt (* 1/8 (pow t 4))>
#<alt (* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))>
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))>
#<alt (* 1/8 (pow t 4))>
#<alt (* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))>
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))>
#<alt (* -1 y)>
#<alt (- (* 1/2 x) y)>
#<alt (- (* 1/2 x) y)>
#<alt (- (* 1/2 x) y)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 y) (* 1/2 x))>
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#<alt (* (pow t 2) (+ (* 1/2 (* (/ (* (- z (* 2 z)) (- (* 1/2 x) y)) (pow t 6)) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) z)) (pow t 4)) (sqrt (/ 1 z)))) (+ (* (sqrt z) (- (* 1/2 x) y)) (* (/ (- (* 1/2 x) y) (pow t 2)) (sqrt z))))))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* (* y (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (sqrt z))>
#<alt (* (* y (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (sqrt z))>
#<alt (* (* y (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (sqrt z))>
#<alt (* (* y (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (sqrt z))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* -1/2 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* -1/2 (* (* y (sqrt 2)) (sqrt z))) (* -1/8 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* -1/2 (* (* y (sqrt 2)) (sqrt z))) (* -1/8 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z))))))>
#<alt (* -1/8 (* (* (pow t 4) (* y (sqrt 2))) (sqrt z)))>
#<alt (* (pow t 4) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z)))))>
#<alt (* (pow t 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 4)) (sqrt z))) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z))))))>
#<alt (* (pow t 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 4)) (sqrt z))) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z))))))>
#<alt (* -1/8 (* (* (pow t 4) (* y (sqrt 2))) (sqrt z)))>
#<alt (* (pow t 4) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z)))))>
#<alt (* (pow t 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 4)) (sqrt z))) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z))))))>
#<alt (* (pow t 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 4)) (sqrt z))) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z))))))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* y (sqrt z))>
#<alt (* 1/2 t)>
#<alt (* t (+ 1/2 (* 1/8 (pow t 2))))>
#<alt (* t (+ 1/2 (* 1/8 (pow t 2))))>
#<alt (* t (+ 1/2 (* 1/8 (pow t 2))))>
#<alt (* 1/8 (pow t 3))>
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* 1/8 (pow t 3))>
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
Calls

147 calls:

TimeVariablePointExpression
34.0ms
z
@0
(sqrt (* (* z 2) (pow (exp t) t)))
12.0ms
z
@0
(* (* z 2) (pow (exp t) t))
3.0ms
z
@-inf
(* (sqrt 2) (neg (* (sqrt z) y)))
2.0ms
t
@0
(* (* (sqrt 2) (neg (* (sqrt z) y))) (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1))
2.0ms
x
@0
(* (- (* x 1/2) y) (sqrt (* (* z 2) (pow (exp t) t))))

rewrite453.0ms (1%)

Memory
-3.6MiB live, 716.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 028×/-lowering-/.f32
4 028×/-lowering-/.f64
3 962×*-lowering-*.f32
3 962×*-lowering-*.f64
3 582×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044256
1225221
21719217
08517204
Stop Event
iter limit
node limit
Counts
26 → 1 302
Calls
Call 1
Inputs
(- (* x 1/2) y)
(sqrt (* (* z 2) (pow (exp t) t)))
(* (* z 2) (pow (exp t) t))
(* z 2)
(* (* (- 0 y) (sqrt (* z 2))) 1)
(- 0 y)
(sqrt (* z 2))
(sqrt (* z (+ (* (+ (* t t) 2) (* t t)) 2)))
(* z (+ (* (+ (* t t) 2) (* t t)) 2))
(+ (* (+ (* t t) 2) (* t t)) 2)
(* (sqrt 2) (neg (* (sqrt z) y)))
(sqrt 2)
(sqrt z)
(+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1)
(* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y))))
(/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))
(* (* (* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) 1)
(/ 1 (- (* x 1/2) y))
(* (- (* x 1/2) y) (sqrt (* (* z 2) (pow (exp t) t))))
(exp t)
(* (- 0 y) (sqrt (* z 2)))
(* (- (* x 1/2) y) (sqrt (* z (+ (* (+ (* t t) 2) (* t t)) 2))))
(* (* (sqrt 2) (neg (* (sqrt z) y))) (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1))
(* (sqrt z) y)
(* t (+ (* (* t t) 1/8) 1/2))
(* (* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2)))
Outputs
(+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y))
(+.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (/.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 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)) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) #s(literal -1 binary64))))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)
(-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) y))
(-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 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 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y))) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (/.f64 (*.f64 y (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y))) (/.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y))))
(fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) y (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (/.f64 (*.f64 y (fma.f64 y y #s(literal 0 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 y (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) y))))
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) y))
(/.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) #s(literal 1 binary64))
(/.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y))))
(/.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (neg.f64 (/.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) y))))
(/.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) y))))
(/.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) y) (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)))))
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(*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))))) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (/.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (/.f64 #s(literal 1 binary64) (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 z #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))) (/.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y))) (/.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (sqrt.f64 z)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (sqrt.f64 z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y))))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (sqrt.f64 z)) (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (sqrt.f64 z)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) y)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (sqrt.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (sqrt.f64 z)) (*.f64 (/.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) #s(literal 1 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)))

simplify865.0ms (2%)

Memory
-45.3MiB live, 977.5MiB allocated
Algorithm
egg-herbie
Rules
9 090×accelerator-lowering-fma.f32
9 090×accelerator-lowering-fma.f64
7 938×*-lowering-*.f32
7 938×*-lowering-*.f64
2 470×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05678664
118637445
259747320
080736980
Stop Event
iter limit
node limit
Counts
588 → 588
Calls
Call 1
Inputs
(* -1 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(* -1 y)
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
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(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
1
(+ 1 t)
(+ 1 (* t (+ 1 (* 1/2 t))))
(+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t))))))
(exp t)
(exp t)
(exp t)
(exp t)
(exp t)
(exp t)
(exp t)
(exp t)
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))
(* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))
(+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))
(+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))
(+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))
(* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))
(* x (+ (* -1 (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))
(* x (+ (* -1 (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))
(* x (+ (* -1 (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))
(* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))
(* -1 (* x (+ (* -1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))))
(* -1 (* x (+ (* -1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))))
(* -1 (* x (+ (* -1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))))
(* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))
(+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))
(+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))
(+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))
(* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))
(* y (+ (* -1 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* 1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))))
(* y (+ (* -1 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* 1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))))
(* y (+ (* -1 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* 1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))))
(* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))
(* -1 (* y (+ (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* -1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))))
(* -1 (* y (+ (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* -1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))))
(* -1 (* y (+ (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* -1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))))
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y))
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y))
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y))
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y))
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y))
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y))
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y))
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y))
(* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (/ (* (pow t 2) (- (* 1/2 x) y)) (sqrt 2)) (sqrt z)))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (* (- z (/ z (pow (sqrt 2) 2))) (- (* 1/2 x) y))) (sqrt 2)) (sqrt (/ 1 z)))) (* (sqrt z) (/ (- (* 1/2 x) y) (sqrt 2))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* (sqrt z) (/ (- (* 1/2 x) y) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (* (- z (/ z (pow (sqrt 2) 2))) (- (* 1/2 x) y)) (sqrt 2)))) (* 1/2 (* (/ (* (pow t 2) (* (- (* 1/2 x) y) (- (/ z (pow (sqrt 2) 4)) (/ z (pow (sqrt 2) 2))))) (sqrt 2)) (sqrt (/ 1 z)))))))))
(* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z))
(* (pow t 2) (+ (* (sqrt z) (- (* 1/2 x) y)) (* (/ (- (* 1/2 x) y) (pow t 2)) (sqrt z))))
(* (pow t 2) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) z)) (pow t 4)) (sqrt (/ 1 z)))) (+ (* (sqrt z) (- (* 1/2 x) y)) (* (/ (- (* 1/2 x) y) (pow t 2)) (sqrt z)))))
(* (pow t 2) (+ (* 1/2 (* (/ (* (- z (* 2 z)) (- (* 1/2 x) y)) (pow t 6)) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) z)) (pow t 4)) (sqrt (/ 1 z)))) (+ (* (sqrt z) (- (* 1/2 x) y)) (* (/ (- (* 1/2 x) y) (pow t 2)) (sqrt z))))))
(* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z))
(* (pow t 2) (+ (* (sqrt z) (- (* 1/2 x) y)) (* (/ (- (* 1/2 x) y) (pow t 2)) (sqrt z))))
(* (pow t 2) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) z)) (pow t 4)) (sqrt (/ 1 z)))) (+ (* (sqrt z) (- (* 1/2 x) y)) (* (/ (- (* 1/2 x) y) (pow t 2)) (sqrt z)))))
(* (pow t 2) (+ (* 1/2 (* (/ (* (- z (* 2 z)) (- (* 1/2 x) y)) (pow t 6)) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) z)) (pow t 4)) (sqrt (/ 1 z)))) (+ (* (sqrt z) (- (* 1/2 x) y)) (* (/ (- (* 1/2 x) y) (pow t 2)) (sqrt z))))))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))
(* (* y (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (sqrt z))
(* (* y (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (sqrt z))
(* (* y (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (sqrt z))
(* (* y (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (sqrt z))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* -1/2 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* -1/2 (* (* y (sqrt 2)) (sqrt z))) (* -1/8 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* -1/2 (* (* y (sqrt 2)) (sqrt z))) (* -1/8 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z))))))
(* -1/8 (* (* (pow t 4) (* y (sqrt 2))) (sqrt z)))
(* (pow t 4) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z)))))
(* (pow t 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 4)) (sqrt z))) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z))))))
(* (pow t 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 4)) (sqrt z))) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z))))))
(* -1/8 (* (* (pow t 4) (* y (sqrt 2))) (sqrt z)))
(* (pow t 4) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z)))))
(* (pow t 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 4)) (sqrt z))) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z))))))
(* (pow t 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 4)) (sqrt z))) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z))))))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* 1/2 t)
(* t (+ 1/2 (* 1/8 (pow t 2))))
(* t (+ 1/2 (* 1/8 (pow t 2))))
(* t (+ 1/2 (* 1/8 (pow t 2))))
(* 1/8 (pow t 3))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* 1/8 (pow t 3))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
Outputs
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- (* 1/2 x) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(- (* 1/2 x) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(- (* 1/2 x) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* x (+ 1/2 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* x (+ 1/2 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (/ y x) 1/2)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* -1 (* x (- (/ y x) 1/2)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* -1 (* x (- (/ y x) 1/2)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* 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 y) (* 1/2 x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(+ (* -1 y) (* 1/2 x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (* 1/2 (/ x y)) 1))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))
(* y (- (* 1/2 (/ x y)) 1))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))
(* y (- (* 1/2 (/ x y)) 1))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
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(* (pow t 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 4)) (sqrt z))) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z))))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (fma.f64 (sqrt.f64 z) (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (*.f64 t t))) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/8 binary64)))))
(* -1/8 (* (* (pow t 4) (* y (sqrt 2))) (sqrt z)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t)))))
(* (pow t 4) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z)))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (*.f64 #s(literal -1/8 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))))
(* (pow t 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 4)) (sqrt z))) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z))))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (fma.f64 (sqrt.f64 z) (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (*.f64 t t))) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/8 binary64)))))
(* (pow t 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 4)) (sqrt z))) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z))))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (fma.f64 (sqrt.f64 z) (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (*.f64 t t))) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/8 binary64)))))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 y (sqrt.f64 z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 y (sqrt.f64 z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 y (sqrt.f64 z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(* 1/2 t)
(*.f64 #s(literal 1/2 binary64) t)
(* t (+ 1/2 (* 1/8 (pow t 2))))
(*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(* t (+ 1/2 (* 1/8 (pow t 2))))
(*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(* t (+ 1/2 (* 1/8 (pow t 2))))
(*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(* 1/8 (pow t 3))
(*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(*.f64 (*.f64 t t) (*.f64 t (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(*.f64 (*.f64 t t) (*.f64 t (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(*.f64 (*.f64 t t) (*.f64 t (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t)))))
(* 1/8 (pow t 3))
(*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(*.f64 (*.f64 t t) (*.f64 t (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(*.f64 (*.f64 t t) (*.f64 t (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(*.f64 (*.f64 t t) (*.f64 t (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x #s(literal -1/2 binary64) y)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x #s(literal -1/2 binary64) y)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x #s(literal -1/2 binary64) y)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x #s(literal -1/2 binary64) y)))

eval731.0ms (1.7%)

Memory
45.2MiB live, 687.4MiB allocated
Compiler

Compiled 101 288 to 7 078 computations (93% saved)

prune508.0ms (1.2%)

Memory
4.7MiB live, 1 127.9MiB allocated
Pruning

48 alts after pruning (48 fresh and 0 done)

PrunedKeptTotal
New2 800222 822
Fresh142640
Picked505
Done000
Total2 819482 867
Accuracy
100.0%
Counts
2 867 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.8%
(fma.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
47.6%
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
27.6%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y)
12.7%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
16.8%
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y)))
49.6%
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
90.3%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
40.3%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))
86.9%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64)))))
52.9%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t (fma.f64 t t #s(literal 2 binary64)))) #s(literal -4 binary64)) z) (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal -2 binary64)))))
91.8%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
79.8%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
49.6%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
27.1%
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))
57.0%
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
57.0%
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))))
66.0%
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))))
66.0%
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
55.9%
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
90.3%
(*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
91.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
99.1%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t)))
49.5%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
54.3%
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
27.2%
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
17.1%
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 y y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
40.9%
(*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) y)) y) #s(literal -1 binary64)) y) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
42.2%
(*.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 8 binary64) (*.f64 y #s(literal 4 binary64))) x)) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
39.5%
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
36.5%
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
51.4%
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
51.5%
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
49.0%
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
51.4%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
60.6%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
24.8%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
33.5%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t)))))
24.8%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
51.4%
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
63.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
53.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
27.1%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y)))
54.4%
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
82.8%
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))
60.3%
(*.f64 y (*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 x y)) #s(literal 1/2 binary64)))))
50.0%
(*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))))
54.4%
(neg.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)))
27.2%
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
Compiler

Compiled 2 272 to 1 532 computations (32.6% saved)

simplify315.0ms (0.7%)

Memory
-37.3MiB live, 536.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff192
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
cost-diff320
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff576
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
cost-diff1216
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
cost-diff0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
cost-diff0
(*.f64 x #s(literal 1/4 binary64))
cost-diff0
(-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))
cost-diff0
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
cost-diff0
(/.f64 y x)
cost-diff0
(-.f64 #s(literal 1/2 binary64) (/.f64 y x))
cost-diff320
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff640
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
cost-diff-64
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)
cost-diff-64
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
cost-diff0
(*.f64 z #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
cost-diff0
(*.f64 z #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t)))
Rules
9 806×accelerator-lowering-fma.f32
9 806×accelerator-lowering-fma.f64
3 658×*-lowering-*.f32
3 658×*-lowering-*.f64
1 688×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037305
191297
2227297
3859291
43160291
55779285
08094277
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp t) (* 1/2 t)))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(sqrt (* z 2))
(* z 2)
z
2
(pow (exp t) (* 1/2 t))
(exp t)
t
(* 1/2 t)
(neg (* (sqrt (* z 2)) y))
(* (sqrt (* z 2)) y)
(sqrt (* z 2))
(* z 2)
z
2
y
(* (* (* x (- 1/2 (/ y x))) (sqrt (* z 2))) 1)
(* (* x (- 1/2 (/ y x))) (sqrt (* z 2)))
(* x (- 1/2 (/ y x)))
x
(- 1/2 (/ y x))
1/2
(/ y x)
y
(sqrt (* z 2))
(* z 2)
z
2
1
(/ (* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2))) (+ (* x 1/2) y))
(* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2)))
(- (* x (* x 1/4)) (* y y))
(* x (* x 1/4))
x
(* x 1/4)
1/4
(* y y)
y
(sqrt (* z 2))
(* z 2)
z
2
(+ (* x 1/2) y)
1/2
(* (* (* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) 1)
(* (* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2)))
(* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y))))
(/ 2 x)
2
x
(/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))
(- (* x 1/2) y)
(* x 1/2)
1/2
y
(/ 1 (- (* x 1/2) y))
1
(sqrt (* z 2))
(* z 2)
z
Outputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp t) (* 1/2 t)))
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t))) #s(literal 0 binary64))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64))
(- (* x 1/2) y)
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)
(* x 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(pow (exp t) (* 1/2 t))
(pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t))
(exp t)
(exp.f64 t)
t
(* 1/2 t)
(*.f64 #s(literal 1/2 binary64) t)
(neg (* (sqrt (* z 2)) y))
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* (sqrt (* z 2)) y)
(fma.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64))
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
y
(* (* (* x (- 1/2 (/ y x))) (sqrt (* z 2))) 1)
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64))
(* (* x (- 1/2 (/ y x))) (sqrt (* z 2)))
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64))
(* x (- 1/2 (/ y x)))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)
x
(- 1/2 (/ y x))
(-.f64 #s(literal 1/2 binary64) (/.f64 y x))
1/2
#s(literal 1/2 binary64)
(/ y x)
(/.f64 y x)
y
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
(/ (* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2))) (+ (* x 1/2) y))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y y (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) y))
(* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2)))
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y y (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(- (* x (* x 1/4)) (* y y))
(-.f64 #s(literal 0 binary64) (fma.f64 y y (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 0 binary64))))
(* x (* x 1/4))
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
x
(* x 1/4)
(*.f64 x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* y y)
(fma.f64 y y #s(literal 0 binary64))
y
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(+ (* x 1/2) y)
(fma.f64 x #s(literal 1/2 binary64) y)
1/2
#s(literal 1/2 binary64)
(* (* (* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) 1)
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 y #s(literal -2 binary64) x)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* (* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 y #s(literal -2 binary64) x)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y))))
(*.f64 (fma.f64 y #s(literal -2 binary64) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y) #s(literal 0 binary64))
(- (* x 1/2) y)
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)
(* x 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
y
(/ 1 (- (* x 1/2) y))
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))
1
#s(literal 1 binary64)
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z

localize160.0ms (0.4%)

Memory
34.4MiB live, 336.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
accuracy99.7%
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
accuracy96.1%
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy72.5%
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
accuracy100.0%
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy94.7%
(-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))
accuracy92.9%
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy64.4%
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
accuracy100.0%
(*.f64 z #s(literal 2 binary64))
accuracy100.0%
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy99.6%
(*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy90.1%
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
accuracy100.0%
(*.f64 z #s(literal 2 binary64))
accuracy100.0%
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy100.0%
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
accuracy99.6%
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)
accuracy100.0%
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy100.0%
(exp.f64 t)
accuracy99.6%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy99.2%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t)))
Samples
92.0ms256×0valid
Compiler

Compiled 315 to 39 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 30.0ms (50.4% of total)
ival-div: 8.0ms (13.4% of total)
ival-add: 6.0ms (10.1% of total)
ival-pow: 5.0ms (8.4% of total)
ival-sub: 4.0ms (6.7% of total)
ival-exp: 2.0ms (3.4% of total)
ival-sqrt: 2.0ms (3.4% of total)
exact: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series66.0ms (0.2%)

Memory
5.1MiB live, 113.3MiB allocated
Counts
22 → 588
Calls
Call 1
Inputs
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp t) (* 1/2 t)))>
#<alt (- (* x 1/2) y)>
#<alt (sqrt (* z 2))>
#<alt (* z 2)>
#<alt (neg (* (sqrt (* z 2)) y))>
#<alt (* (sqrt (* z 2)) y)>
#<alt (* x (- 1/2 (/ y x)))>
#<alt (* (* (* x (- 1/2 (/ y x))) (sqrt (* z 2))) 1)>
#<alt (- 1/2 (/ y x))>
#<alt (/ y x)>
#<alt (/ (* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2))) (+ (* x 1/2) y))>
#<alt (- (* x (* x 1/4)) (* y y))>
#<alt (* x 1/4)>
#<alt (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))>
#<alt (* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y))))>
#<alt (* (* (* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) 1)>
#<alt (/ 1 (- (* x 1/2) y))>
#<alt (* (- (* x 1/2) y) (sqrt (* z 2)))>
#<alt (exp t)>
#<alt (* (* x (- 1/2 (/ y x))) (sqrt (* z 2)))>
#<alt (* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2)))>
#<alt (* (* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2)))>
Outputs
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* -1 y)>
#<alt (- (* 1/2 x) y)>
#<alt (- (* 1/2 x) y)>
#<alt (- (* 1/2 x) y)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))>
#<alt (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))>
#<alt (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))>
#<alt (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* (* y (sqrt 2)) (sqrt z))>
#<alt (* (* y (sqrt 2)) (sqrt z))>
#<alt (* (* y (sqrt 2)) (sqrt z))>
#<alt (* (* y (sqrt 2)) (sqrt z))>
#<alt (* (* y (sqrt 2)) (sqrt z))>
#<alt (* (* y (sqrt 2)) (sqrt z))>
#<alt (* (* y (sqrt 2)) (sqrt z))>
#<alt (* (* y (sqrt 2)) (sqrt z))>
#<alt (* -1 (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)))>
#<alt (* (* y (sqrt 2)) (sqrt z))>
#<alt (* (* y (sqrt 2)) (sqrt z))>
#<alt (* (* y (sqrt 2)) (sqrt z))>
#<alt (* (* y (sqrt 2)) (sqrt z))>
#<alt (* (* y (sqrt 2)) (sqrt z))>
#<alt (* (* y (sqrt 2)) (sqrt z))>
#<alt (* (* y (sqrt 2)) (sqrt z))>
#<alt (* (* y (sqrt 2)) (sqrt z))>
#<alt (* (* y (sqrt 2)) (sqrt z))>
#<alt (* (* y (sqrt 2)) (sqrt z))>
#<alt (* (* y (sqrt 2)) (sqrt z))>
#<alt (* (* y (sqrt 2)) (sqrt z))>
#<alt (* -1 y)>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))>
#<alt (* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))>
#<alt (* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))>
#<alt (* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))>
#<alt (* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))>
#<alt (* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))>
#<alt (* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))>
#<alt (* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))>
#<alt (* -1 (* (* x (* (sqrt -2) (* (sqrt -1) (- 1/2 (/ y x))))) (sqrt z)))>
#<alt (* -1 (* (* x (* (sqrt -2) (* (sqrt -1) (- 1/2 (/ y x))))) (sqrt z)))>
#<alt (* -1 (* (* x (* (sqrt -2) (* (sqrt -1) (- 1/2 (/ y x))))) (sqrt z)))>
#<alt (* -1 (* (* x (* (sqrt -2) (* (sqrt -1) (- 1/2 (/ y x))))) (sqrt z)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (/ y x)))>
#<alt (+ 1/2 (* -1 (/ y x)))>
#<alt (+ 1/2 (* -1 (/ y x)))>
#<alt (* -1 (/ y x))>
#<alt (* y (- (* 1/2 (/ 1 y)) (/ 1 x)))>
#<alt (* y (- (* 1/2 (/ 1 y)) (/ 1 x)))>
#<alt (* y (- (* 1/2 (/ 1 y)) (/ 1 x)))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (* y (- (/ 1 x) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- (/ 1 x) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- (/ 1 x) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (/ y x))>
#<alt (/ (- (* 1/2 x) y) x)>
#<alt (/ (- (* 1/2 x) y) x)>
#<alt (/ (- (* 1/2 x) y) x)>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (/ y x)))>
#<alt (+ 1/2 (* -1 (/ y x)))>
#<alt (+ 1/2 (* -1 (/ y x)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (/ y x)))>
#<alt (+ 1/2 (* -1 (/ y x)))>
#<alt (+ 1/2 (* -1 (/ y x)))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x)))))>
#<alt (* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x)))))>
#<alt (* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x)))))>
#<alt (* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x)))))>
#<alt (* -1 (pow y 2))>
#<alt (- (* 1/4 (pow x 2)) (pow y 2))>
#<alt (- (* 1/4 (pow x 2)) (pow y 2))>
#<alt (- (* 1/4 (pow x 2)) (pow y 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* 1/4 (pow x 2))>
#<alt (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))>
#<alt (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))>
#<alt (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))>
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#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* y (sqrt 2)) x) (sqrt z))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))) x)) (* -1/2 (* (sqrt z) (sqrt 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))) x)) (* -1/2 (* (sqrt z) (sqrt 2))))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* y (+ (* -2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* y (sqrt 2)) x) (sqrt z))))))>
#<alt (+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* y (+ (* -2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* y (sqrt 2)) x) (sqrt z))))))>
#<alt (* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))>
#<alt (* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))>
#<alt (* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (+ (* 1/2 (* (/ (* x (sqrt 2)) (pow y 2)) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z))))))>
#<alt (* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (+ (* 1/2 (* (/ (* x (sqrt 2)) (pow y 2)) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z))))))>
#<alt (* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))>
#<alt (* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* 2 (* (sqrt z) (sqrt 2)))) y)) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* 2 (* (sqrt z) (sqrt 2)))) y)) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))>
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))>
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))>
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))>
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))>
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))>
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))>
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))>
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))>
#<alt (* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))>
#<alt (* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))>
#<alt (* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))>
#<alt (* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))>
Calls

147 calls:

TimeVariablePointExpression
25.0ms
y
@0
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp t) (* 1/2 t)))
2.0ms
x
@inf
(* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2)))
2.0ms
x
@inf
(* x (- 1/2 (/ y x)))
1.0ms
z
@0
(* (* (* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) 1)
1.0ms
z
@-inf
(* (* (* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) 1)

rewrite666.0ms (1.5%)

Memory
-29.4MiB live, 580.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 038×/-lowering-/.f32
5 038×/-lowering-/.f64
4 966×accelerator-lowering-fma.f32
4 966×accelerator-lowering-fma.f64
4 558×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037230
1181201
21397185
08440185
Stop Event
iter limit
node limit
Counts
22 → 1 046
Calls
Call 1
Inputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp t) (* 1/2 t)))
(- (* x 1/2) y)
(sqrt (* z 2))
(* z 2)
(neg (* (sqrt (* z 2)) y))
(* (sqrt (* z 2)) y)
(* x (- 1/2 (/ y x)))
(* (* (* x (- 1/2 (/ y x))) (sqrt (* z 2))) 1)
(- 1/2 (/ y x))
(/ y x)
(/ (* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2))) (+ (* x 1/2) y))
(- (* x (* x 1/4)) (* y y))
(* x 1/4)
(/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))
(* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y))))
(* (* (* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) 1)
(/ 1 (- (* x 1/2) y))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(exp t)
(* (* x (- 1/2 (/ y x))) (sqrt (* z 2)))
(* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2)))
(* (* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2)))
Outputs
(/.f64 (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t)))))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t))))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t))))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t)))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t)))))) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t)))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t))))
(*.f64 (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t))))))
(*.f64 (exp.f64 (*.f64 t (*.f64 t #s(literal 1/4 binary64)))) (*.f64 (exp.f64 (*.f64 t (*.f64 t #s(literal 1/4 binary64)))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 t (*.f64 t #s(literal 1/4 binary64))))) (exp.f64 (*.f64 t (*.f64 t #s(literal 1/4 binary64)))))
(*.f64 (*.f64 (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (fma.f64 y (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t)))) (fma.f64 x #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))
(+.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64))) y))
(-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (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 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y)))
(fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))
(fma.f64 x (/.f64 (*.f64 x #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y))))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y))))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y))))
(fma.f64 #s(literal -1 binary64) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y))
(fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y))))
(fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y))))
(fma.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y))))
(fma.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y))))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)))

simplify744.0ms (1.7%)

Memory
3.1MiB live, 527.3MiB allocated
Algorithm
egg-herbie
Rules
10 248×accelerator-lowering-fma.f32
10 248×accelerator-lowering-fma.f64
8 352×*-lowering-*.f32
8 352×*-lowering-*.f64
2 716×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04738442
115087831
246817458
083087277
Stop Event
iter limit
node limit
Counts
588 → 588
Calls
Call 1
Inputs
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(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(pow y 2)
(+ (* -1 (* x y)) (pow y 2))
(+ (* x (+ (* -1 y) (* 1/4 x))) (pow y 2))
(+ (* x (+ (* -1 y) (* 1/4 x))) (pow y 2))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1 (/ y x))))
(* (pow x 2) (+ 1/4 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1/4 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1 (/ y x))))
(* (pow x 2) (+ 1/4 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1/4 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))))
(* 1/4 (pow x 2))
(+ (* -1 (* x y)) (* 1/4 (pow x 2)))
(+ (* 1/4 (pow x 2)) (* y (+ y (* -1 x))))
(+ (* 1/4 (pow x 2)) (* y (+ y (* -1 x))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ x y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ x y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ x (* -1/4 (/ (pow x 2) y))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ x (* -1/4 (/ (pow x 2) y))) y))))
(* 2 (/ (pow y 2) x))
(/ (+ (* -2 (* x y)) (* 2 (pow y 2))) x)
(/ (+ (* 2 (pow y 2)) (* x (+ (* -2 y) (* 1/2 x)))) x)
(/ (+ (* 2 (pow y 2)) (* x (+ (* -2 y) (* 1/2 x)))) x)
(* 1/2 x)
(* x (+ 1/2 (* -2 (/ y x))))
(* x (+ 1/2 (+ (* -2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2))))))
(* x (+ 1/2 (+ (* -2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2))))))
(* 1/2 x)
(* -1 (* x (- (* 2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ (* -2 y) (* 2 (/ (pow y 2) x))) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ (* -2 y) (* 2 (/ (pow y 2) x))) x)) 1/2)))
(* 1/2 x)
(+ (* -2 y) (* 1/2 x))
(+ (* 1/2 x) (* y (- (* 2 (/ y x)) 2)))
(+ (* 1/2 x) (* y (- (* 2 (/ y x)) 2)))
(* 2 (/ (pow y 2) x))
(* (pow y 2) (- (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (- (+ (* 1/2 (/ x (pow y 2))) (* 2 (/ 1 x))) (* 2 (/ 1 y))))
(* (pow y 2) (- (+ (* 1/2 (/ x (pow y 2))) (* 2 (/ 1 x))) (* 2 (/ 1 y))))
(* 2 (/ (pow y 2) x))
(* (pow y 2) (- (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* -1 (/ (+ 2 (* -1/2 (/ x y))) y)) (* 2 (/ 1 x))))
(* (pow y 2) (+ (* -1 (/ (+ 2 (* -1/2 (/ x y))) y)) (* 2 (/ 1 x))))
(* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))
(/ (+ (* -2 (* (* x (* y (sqrt 2))) (sqrt z))) (* 2 (* (* (pow y 2) (sqrt 2)) (sqrt z)))) x)
(/ (+ (* 2 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* x (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))) x)
(/ (+ (* 2 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* x (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))) x)
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -2 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -2 (* (/ (* y (sqrt 2)) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))))))
(* x (+ (* -2 (* (/ (* y (sqrt 2)) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* y (sqrt 2)) x) (sqrt z))))))
(* -1 (* x (+ (* -1 (/ (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))) x)) (* -1/2 (* (sqrt z) (sqrt 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))) x)) (* -1/2 (* (sqrt z) (sqrt 2))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* y (+ (* -2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* y (sqrt 2)) x) (sqrt z))))))
(+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* y (+ (* -2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* y (sqrt 2)) x) (sqrt z))))))
(* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))
(* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))
(* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (+ (* 1/2 (* (/ (* x (sqrt 2)) (pow y 2)) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z))))))
(* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (+ (* 1/2 (* (/ (* x (sqrt 2)) (pow y 2)) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z))))))
(* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))
(* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* 2 (* (sqrt z) (sqrt 2)))) y)) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* 2 (* (sqrt z) (sqrt 2)))) y)) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))
(* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))
(* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))
(* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))
(/ -1 y)
(- (* -1/2 (/ x (pow y 2))) (/ 1 y))
(- (* x (- (* -1/4 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(- (* x (- (* x (- (* -1/8 (/ x (pow y 4))) (* 1/4 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(/ 2 x)
(/ (+ 2 (* 4 (/ y x))) x)
(/ (- (+ 2 (* 8 (/ (pow y 2) (pow x 2)))) (* -4 (/ y x))) x)
(/ (- (+ 2 (* 16 (/ (pow y 3) (pow x 3)))) (+ (* -8 (/ (pow y 2) (pow x 2))) (* -4 (/ y x)))) x)
(/ 2 x)
(* -1 (/ (- (* -4 (/ y x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow y 2) x)) (* -4 y)) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow y 3) x)) (* 8 (pow y 2))) x)) (* -4 y)) x)) 2) x))
(/ 2 x)
(+ (* 4 (/ y (pow x 2))) (* 2 (/ 1 x)))
(+ (* y (+ (* 8 (/ y (pow x 3))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(+ (* y (+ (* y (+ (* 16 (/ y (pow x 4))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(/ -1 y)
(/ (- (* -1/2 (/ x y)) 1) y)
(/ (- (* -1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* 1/2 (/ x y)))) y)
(/ (- (* -1/8 (/ (pow x 3) (pow y 3))) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))) y)
(/ -1 y)
(* -1 (/ (+ 1 (* 1/2 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 3) y)) (* -1/4 (pow x 2))) y)) (* 1/2 x)) y))) y))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
1
(+ 1 t)
(+ 1 (* t (+ 1 (* 1/2 t))))
(+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t))))))
(exp t)
(exp t)
(exp t)
(exp t)
(exp t)
(exp t)
(exp t)
(exp t)
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))
(* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))
(* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))
(* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))
(* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))
(* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))
(* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))
(* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))
(* -1 (* (* x (* (sqrt -2) (* (sqrt -1) (- 1/2 (/ y x))))) (sqrt z)))
(* -1 (* (* x (* (sqrt -2) (* (sqrt -1) (- 1/2 (/ y x))))) (sqrt z)))
(* -1 (* (* x (* (sqrt -2) (* (sqrt -1) (- 1/2 (/ y x))))) (sqrt z)))
(* -1 (* (* x (* (sqrt -2) (* (sqrt -1) (- 1/2 (/ y x))))) (sqrt z)))
(* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))))
(* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z)))
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2)))))
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2)))))
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2)))))
(* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z)))
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2)))))
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2)))))
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2)))))
(* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))))
(* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z)))
(* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z)))))
(* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z)))))
(* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z)))))
(* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z)))
(* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z)))))
(* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z)))))
(* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))
(* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))
(* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))
(* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))
(* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))
(* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))
(* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))
(* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2))))))
(* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))
(/ (+ (* -2 (* (* x (* y (sqrt 2))) (sqrt z))) (* 2 (* (* (pow y 2) (sqrt 2)) (sqrt z)))) x)
(/ (+ (* 2 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* x (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))) x)
(/ (+ (* 2 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* x (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))) x)
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -2 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -2 (* (/ (* y (sqrt 2)) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))))))
(* x (+ (* -2 (* (/ (* y (sqrt 2)) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* y (sqrt 2)) x) (sqrt z))))))
(* -1 (* x (+ (* -1 (/ (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))) x)) (* -1/2 (* (sqrt z) (sqrt 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))) x)) (* -1/2 (* (sqrt z) (sqrt 2))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* y (+ (* -2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* y (sqrt 2)) x) (sqrt z))))))
(+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* y (+ (* -2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* y (sqrt 2)) x) (sqrt z))))))
(* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))
(* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))
(* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (+ (* 1/2 (* (/ (* x (sqrt 2)) (pow y 2)) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z))))))
(* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (+ (* 1/2 (* (/ (* x (sqrt 2)) (pow y 2)) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z))))))
(* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))
(* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* 2 (* (sqrt z) (sqrt 2)))) y)) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* 2 (* (sqrt z) (sqrt 2)))) y)) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))
(* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))
(* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))
(* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))
Outputs
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(*.f64 (*.f64 y y) (fma.f64 (sqrt.f64 z) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 y y)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)))))
(* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (+ (* 1/2 (* (/ (* x (sqrt 2)) (pow y 2)) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z))))))
(*.f64 (*.f64 y y) (fma.f64 (sqrt.f64 z) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 y y)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)))))
(* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))
(*.f64 (*.f64 y y) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* 2 (* (sqrt z) (sqrt 2)))) y)) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))
(*.f64 (*.f64 y y) (-.f64 (*.f64 (sqrt.f64 z) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 z)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)))) y)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* 2 (* (sqrt z) (sqrt 2)))) y)) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))
(*.f64 (*.f64 y y) (-.f64 (*.f64 (sqrt.f64 z) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 z)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)))) y)))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
(* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
(* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
(* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))))

eval305.0ms (0.7%)

Memory
40.4MiB live, 613.4MiB allocated
Compiler

Compiled 63 099 to 5 372 computations (91.5% saved)

prune338.0ms (0.8%)

Memory
-11.0MiB live, 690.3MiB allocated
Pruning

46 alts after pruning (45 fresh and 1 done)

PrunedKeptTotal
New2 052122 064
Fresh103343
Picked415
Done000
Total2 066462 112
Accuracy
100.0%
Counts
2 112 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.8%
(fma.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
16.8%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y)))
35.0%
(/.f64 (*.f64 (-.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 x #s(literal 1/2 binary64)))
27.6%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y)
12.7%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
38.7%
(/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
54.3%
(/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1/4 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
27.9%
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
49.6%
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
90.3%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
40.3%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))
86.9%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64)))))
91.8%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
79.8%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
49.6%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
66.0%
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))))
66.0%
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
55.9%
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
90.3%
(*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
15.1%
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
91.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
49.5%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
63.7%
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t)))
27.2%
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
17.1%
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 y y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
40.9%
(*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) y)) y) #s(literal -1 binary64)) y) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
36.5%
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
51.4%
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
24.8%
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
51.4%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
60.6%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
50.1%
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
33.5%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t)))))
24.8%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
51.4%
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
63.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
53.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
15.1%
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
27.1%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y)))
54.4%
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
82.8%
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))
60.3%
(*.f64 y (*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 x y)) #s(literal 1/2 binary64)))))
54.4%
(neg.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)))
27.1%
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y))
27.2%
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
27.1%
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))
Compiler

Compiled 2 912 to 1 056 computations (63.7% saved)

regimes375.0ms (0.9%)

Memory
7.3MiB live, 720.3MiB allocated
Counts
93 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 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 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(neg.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (-.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 x #s(literal 1/2 binary64)))
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) #s(literal 1/8 binary64))))
(*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1/4 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(fma.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t (fma.f64 t t #s(literal 2 binary64)))) #s(literal -4 binary64)) z) (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 y y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (/.f64 (*.f64 t (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (-.f64 (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1/16 binary64))))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 y (*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 x y)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 8 binary64) (*.f64 y #s(literal 4 binary64))) x)) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) y)) y) #s(literal -1 binary64)) y) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t)))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))))
Calls

13 calls:

58.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
38.0ms
t
29.0ms
(*.f64 z #s(literal 2 binary64))
27.0ms
y
27.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1t
99.9%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
99.9%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
99.9%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
99.9%1(*.f64 x #s(literal 1/2 binary64))
99.9%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
99.9%1(*.f64 z #s(literal 2 binary64))
99.9%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
99.9%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
99.9%1(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes375.0ms (0.9%)

Memory
9.1MiB live, 619.9MiB allocated
Counts
91 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 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 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(neg.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (-.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 x #s(literal 1/2 binary64)))
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) #s(literal 1/8 binary64))))
(*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1/4 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(fma.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t (fma.f64 t t #s(literal 2 binary64)))) #s(literal -4 binary64)) z) (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 y y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (/.f64 (*.f64 t (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (-.f64 (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1/16 binary64))))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 y (*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 x y)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 8 binary64) (*.f64 y #s(literal 4 binary64))) x)) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) y)) y) #s(literal -1 binary64)) y) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t)))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
Calls

13 calls:

41.0ms
x
35.0ms
y
34.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
30.0ms
(*.f64 x #s(literal 1/2 binary64))
28.0ms
z
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1t
99.8%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
99.8%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
99.8%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
99.8%1(*.f64 x #s(literal 1/2 binary64))
99.8%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
99.8%1(*.f64 z #s(literal 2 binary64))
99.8%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
99.8%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
99.8%1(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes297.0ms (0.7%)

Memory
14.7MiB live, 579.6MiB allocated
Counts
80 → 3
Calls
Call 1
Inputs
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 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 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(neg.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (-.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 x #s(literal 1/2 binary64)))
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) #s(literal 1/8 binary64))))
(*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1/4 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(fma.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t (fma.f64 t t #s(literal 2 binary64)))) #s(literal -4 binary64)) z) (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 y y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (/.f64 (*.f64 t (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (-.f64 (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1/16 binary64))))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 y (*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 x y)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 8 binary64) (*.f64 y #s(literal 4 binary64))) x)) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) y)) y) #s(literal -1 binary64)) y) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))))))
Calls

13 calls:

29.0ms
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
23.0ms
(*.f64 z #s(literal 2 binary64))
23.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
23.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
23.0ms
(*.f64 x #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
91.8%1x
91.8%1y
91.8%1z
98.0%3t
91.8%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))))
91.8%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
91.8%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
91.8%1(*.f64 x #s(literal 1/2 binary64))
91.8%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
91.8%1(*.f64 z #s(literal 2 binary64))
91.8%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
98.0%3(/.f64 (*.f64 t t) #s(literal 2 binary64))
98.0%3(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes66.0ms (0.2%)

Memory
-5.3MiB live, 114.0MiB allocated
Counts
78 → 2
Calls
Call 1
Inputs
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 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 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(neg.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (-.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 x #s(literal 1/2 binary64)))
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) #s(literal 1/8 binary64))))
(*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1/4 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(fma.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t (fma.f64 t t #s(literal 2 binary64)))) #s(literal -4 binary64)) z) (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 y y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (/.f64 (*.f64 t (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (-.f64 (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1/16 binary64))))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 y (*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 x y)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 8 binary64) (*.f64 y #s(literal 4 binary64))) x)) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) y)) y) #s(literal -1 binary64)) y) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))))))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t (fma.f64 t t #s(literal 2 binary64)))) #s(literal -4 binary64)) z) (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal -2 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
Calls

3 calls:

21.0ms
t
21.0ms
(*.f64 t t)
20.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
94.3%2t
94.3%2(/.f64 (*.f64 t t) #s(literal 2 binary64))
94.3%2(*.f64 t t)
Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes67.0ms (0.2%)

Memory
-26.2MiB live, 92.4MiB allocated
Counts
68 → 3
Calls
Call 1
Inputs
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 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 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(neg.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (-.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 x #s(literal 1/2 binary64)))
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) #s(literal 1/8 binary64))))
(*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1/4 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(fma.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1/4 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Calls

3 calls:

29.0ms
t
17.0ms
(*.f64 t t)
17.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
95.0%3t
95.0%3(/.f64 (*.f64 t t) #s(literal 2 binary64))
95.0%3(*.f64 t t)
Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes120.0ms (0.3%)

Memory
5.3MiB live, 163.4MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 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 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(neg.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (-.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 x #s(literal 1/2 binary64)))
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) #s(literal 1/8 binary64))))
(*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
Calls

7 calls:

21.0ms
(*.f64 t t)
19.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
16.0ms
(*.f64 z #s(literal 2 binary64))
16.0ms
z
16.0ms
t
Results
AccuracySegmentsBranch
91.8%1z
91.8%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
91.8%1(*.f64 z #s(literal 2 binary64))
91.8%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
91.8%1t
91.8%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
91.8%1(*.f64 t t)
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes8.7s (20%)

Memory
82.2MiB live, 357.1MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 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 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(neg.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (-.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 x #s(literal 1/2 binary64)))
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) #s(literal 1/8 binary64))))
(*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
Calls

13 calls:

8.4s
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
127.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
27.0ms
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
21.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
18.0ms
z
Results
AccuracySegmentsBranch
91.7%1t
91.7%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
91.7%1(*.f64 t t)
91.7%1x
91.7%1y
91.7%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
91.7%1(*.f64 x #s(literal 1/2 binary64))
91.7%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
91.7%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
91.7%1z
91.7%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
91.7%1(*.f64 z #s(literal 2 binary64))
91.7%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes2.8s (6.5%)

Memory
328.0MiB live, 684.5MiB allocated
Counts
57 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 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 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(neg.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (-.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 x #s(literal 1/2 binary64)))
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) #s(literal 1/8 binary64))))
(*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))))
Outputs
(*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Calls

13 calls:

892.0ms
z
888.0ms
(*.f64 x #s(literal 1/2 binary64))
581.0ms
y
318.0ms
(*.f64 t t)
19.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Results
AccuracySegmentsBranch
90.3%1y
90.3%1t
90.3%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
90.3%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
90.3%1(*.f64 t t)
90.3%1x
90.3%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))))
90.3%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
90.3%1(*.f64 x #s(literal 1/2 binary64))
90.3%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
90.3%1z
90.3%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
90.3%1(*.f64 z #s(literal 2 binary64))
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes173.0ms (0.4%)

Memory
-9.7MiB live, 190.9MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 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 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(neg.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
Calls

13 calls:

22.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
16.0ms
(*.f64 t t)
15.0ms
(*.f64 z #s(literal 2 binary64))
15.0ms
z
14.0ms
t
Results
AccuracySegmentsBranch
89.2%1x
89.2%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))))
89.2%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
89.2%1(*.f64 x #s(literal 1/2 binary64))
89.2%1z
89.2%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
89.2%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
89.2%1(*.f64 z #s(literal 2 binary64))
89.2%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
89.2%1y
89.2%1t
89.2%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
89.2%1(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes5.5s (12.5%)

Memory
32.4MiB live, 253.2MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 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 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(neg.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t)))))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.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)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
Calls

13 calls:

5.3s
(/.f64 (*.f64 t t) #s(literal 2 binary64))
61.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
13.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
12.0ms
x
12.0ms
z
Results
AccuracySegmentsBranch
88.9%1x
88.9%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
88.9%1(*.f64 x #s(literal 1/2 binary64))
88.9%1z
88.9%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))))
90.5%2(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
88.9%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
88.9%1(*.f64 z #s(literal 2 binary64))
88.9%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
88.9%1y
88.9%1t
88.9%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
88.9%1(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes6.5s (14.9%)

Memory
-187.3MiB live, 364.4MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 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 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(neg.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
Calls

13 calls:

6.3s
z
137.0ms
(*.f64 t t)
12.0ms
(*.f64 x #s(literal 1/2 binary64))
12.0ms
(*.f64 z #s(literal 2 binary64))
12.0ms
y
Results
AccuracySegmentsBranch
88.0%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
88.0%1x
88.0%1z
88.0%1t
88.0%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))))
88.0%1(*.f64 x #s(literal 1/2 binary64))
88.0%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
88.0%1(*.f64 z #s(literal 2 binary64))
88.0%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
88.0%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
88.0%1(*.f64 t t)
88.0%1y
88.0%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes146.0ms (0.3%)

Memory
-103.5MiB live, 187.2MiB allocated
Counts
24 → 4
Calls
Call 1
Inputs
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 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 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y)
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
Calls

13 calls:

38.0ms
(*.f64 x #s(literal 1/2 binary64))
29.0ms
(*.f64 t t)
8.0ms
t
7.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
7.0ms
(*.f64 z #s(literal 2 binary64))
Results
AccuracySegmentsBranch
80.2%1x
82.0%2z
85.4%4t
80.2%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))))
80.2%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
82.0%2(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
80.2%1(*.f64 x #s(literal 1/2 binary64))
82.0%2(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
82.0%2(*.f64 z #s(literal 2 binary64))
80.2%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
85.4%4(/.f64 (*.f64 t t) #s(literal 2 binary64))
85.4%4(*.f64 t t)
80.2%1y
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes25.0ms (0.1%)

Memory
-13.8MiB live, 27.6MiB allocated
Counts
22 → 4
Calls
Call 1
Inputs
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 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 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y)
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
Calls

3 calls:

11.0ms
(*.f64 t t)
7.0ms
t
6.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
85.4%4t
85.4%4(/.f64 (*.f64 t t) #s(literal 2 binary64))
85.4%4(*.f64 t t)
Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes19.0ms (0%)

Memory
-9.9MiB live, 28.2MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 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 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
Calls

3 calls:

6.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
6.0ms
t
5.0ms
(*.f64 t t)
Results
AccuracySegmentsBranch
83.6%3t
83.6%3(/.f64 (*.f64 t t) #s(literal 2 binary64))
83.6%3(*.f64 t t)
Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes169.0ms (0.4%)

Memory
226.8MiB live, 325.7MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 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 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
Calls

13 calls:

99.0ms
z
7.0ms
(*.f64 z #s(literal 2 binary64))
6.0ms
(*.f64 x #s(literal 1/2 binary64))
6.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
79.8%1x
79.8%1(*.f64 x #s(literal 1/2 binary64))
79.8%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))))
79.8%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
79.8%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
79.8%1y
79.8%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
79.8%1z
79.8%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
79.8%1(*.f64 z #s(literal 2 binary64))
79.8%1t
79.8%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
79.8%1(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes206.0ms (0.5%)

Memory
0.5MiB live, 78.0MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 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 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))
Calls

13 calls:

144.0ms
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
5.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
5.0ms
z
5.0ms
t
5.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Results
AccuracySegmentsBranch
81.1%3t
53.8%3(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
53.8%3(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
81.1%3(/.f64 (*.f64 t t) #s(literal 2 binary64))
81.1%3(*.f64 t t)
52.0%2z
75.9%3(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
52.0%2(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
52.0%2(*.f64 z #s(literal 2 binary64))
53.1%2x
55.0%3y
53.1%2(*.f64 x #s(literal 1/2 binary64))
79.3%2(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes1.4s (3.2%)

Memory
-3.7MiB live, 34.2MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 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 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))
Calls

4 calls:

1.4s
(*.f64 t t)
5.0ms
t
5.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
4.0ms
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
79.3%2(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
79.3%2t
79.3%2(/.f64 (*.f64 t t) #s(literal 2 binary64))
79.3%2(*.f64 t t)
Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes74.0ms (0.2%)

Memory
-288.1MiB live, 85.5MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 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 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Calls

13 calls:

24.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
10.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
4.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
4.0ms
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
4.0ms
t
Results
AccuracySegmentsBranch
49.6%1z
49.6%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
49.6%1(*.f64 z #s(literal 2 binary64))
49.6%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
49.6%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
49.6%1x
49.6%1(*.f64 x #s(literal 1/2 binary64))
49.6%1y
49.6%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))))
49.6%1t
49.6%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
49.6%1(*.f64 t t)
49.6%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes41.0ms (0.1%)

Memory
3.5MiB live, 41.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
Outputs
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
Calls

13 calls:

22.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
2.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
2.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
2.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
2.0ms
(*.f64 x #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
27.2%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
27.2%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))))
27.2%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
27.2%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
27.2%1x
27.2%1y
27.2%1z
27.2%1(*.f64 x #s(literal 1/2 binary64))
27.2%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
27.2%1(*.f64 z #s(literal 2 binary64))
27.2%1t
27.2%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
27.2%1(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.8866298117927645e+79
2.048585958248353e+80
0.0ms
6.033054066632086
236.1455750130983
Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.88662529967456e+146
7.624526201765404e+148
Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1219756017353529e+101
1.505999219767639e+107
0.0ms
9678.647575153036
17707077.901869077
Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.8460183414721338e+73
1.8496459131788977e+73
Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.358795197808815e+299
+inf
0.0ms
1.511122625548156e+92
6.164752505736741e+93
0.0ms
236.1455750130983
4642.392676771418
Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.358795197808815e+299
+inf
0.0ms
1.511122625548156e+92
6.164752505736741e+93
0.0ms
236.1455750130983
4642.392676771418
Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.358795197808815e+299
+inf
0.0ms
5.37080049487283e+25
9.135550194065316e+32
Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch50.0ms (0.1%)

Memory
-38.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.164752505736741e+93
7.172474712707133e+99
0.0ms
4642.392676771418
9678.647575153036
Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000021654125
20.42024954575867
Compiler

Compiled 24 to 23 computations (4.2% saved)

simplify22.0ms (0.1%)

Memory
34.1MiB live, 34.1MiB allocated
Algorithm
egg-herbie
Rules
116×*-commutative_binary64
30×neg-mul-1_binary64
28×+-commutative_binary64
28×sub-neg_binary64
26×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145742
1209742
2239742
3272742
4289742
5299742
6302742
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(if (<=.f64 (*.f64 t t) #s(literal 10 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 t t) #s(literal 50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))))))))
(if (<=.f64 (*.f64 t t) #s(literal 499999999999999988998191202828830087182411944733900540386126622484631969614553746213463024711630256984884134207768538734419216153365573197681917952 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t (fma.f64 t t #s(literal 2 binary64)))) #s(literal -4 binary64)) z) (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal -2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
(if (<=.f64 (*.f64 t t) #s(literal 10000 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 t t) #s(literal 199999999999999995409902653049067325689368543984830001225999194946398690436157982260652258896302309376 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1/4 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #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)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 18480000000000001205521336734462045595872220701040517579527480921095667712 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.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)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(if (<=.f64 (*.f64 t t) #s(literal 400 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (if (<=.f64 (*.f64 t t) #s(literal 200000000000000008675459394923837214658058664990387862358354757867223362577936222188264751104 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) (if (<=.f64 (*.f64 t t) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))))))
(if (<=.f64 (*.f64 t t) #s(literal 400 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) (if (<=.f64 (*.f64 t t) #s(literal 200000000000000008675459394923837214658058664990387862358354757867223362577936222188264751104 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) (if (<=.f64 (*.f64 t t) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))))))
(if (<=.f64 (*.f64 t t) #s(literal 100000000000000004764729344 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) (if (<=.f64 (*.f64 t t) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 t t) #s(literal 5000 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (if (<=.f64 (*.f64 t t) #s(literal 10000000000000000202188791271559469885760963232143577411377768562080040049981643093586978275328 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))))
(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(if (<=.f64 (*.f64 t t) #s(literal 10 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 t t) #s(literal 50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))))))))
(if (<=.f64 (*.f64 t t) #s(literal 10 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 t t) #s(literal 50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (-.f64 #s(literal 0 binary64) y)) (fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 t t) #s(literal 499999999999999988998191202828830087182411944733900540386126622484631969614553746213463024711630256984884134207768538734419216153365573197681917952 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t (fma.f64 t t #s(literal 2 binary64)))) #s(literal -4 binary64)) z) (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal -2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))))
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(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #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)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
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(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(if (<=.f64 (*.f64 t t) #s(literal 400 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (if (<=.f64 (*.f64 t t) #s(literal 200000000000000008675459394923837214658058664990387862358354757867223362577936222188264751104 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) (if (<=.f64 (*.f64 t t) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))))))
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(if (<=.f64 (*.f64 t t) #s(literal 400 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) (if (<=.f64 (*.f64 t t) #s(literal 200000000000000008675459394923837214658058664990387862358354757867223362577936222188264751104 binary64)) (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) y) (if (<=.f64 (*.f64 t t) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))))))
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(if (<=.f64 (*.f64 t t) #s(literal 5000 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (if (<=.f64 (*.f64 t t) #s(literal 10000000000000000202188791271559469885760963232143577411377768562080040049981643093586978275328 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))))
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(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y))

soundness2.5s (5.7%)

Memory
-22.3MiB live, 1 739.3MiB allocated
Rules
18 894×accelerator-lowering-fma.f32
18 894×accelerator-lowering-fma.f64
11 078×accelerator-lowering-fma.f32
11 078×accelerator-lowering-fma.f64
10 248×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05678664
118637445
259747320
080736980
044256
1225221
21719217
08517204
037182
1166179
21194179
08945173
054310128
117848909
262668402
083098052
01543
15442
227642
3234342
0860842
04738442
115087831
246817458
083087277
037230
1181201
21397185
08440185
01372123
14561644
215811551
344681548
088541536
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 2 165 to 1 136 computations (47.5% saved)

preprocess163.0ms (0.4%)

Memory
-1.9MiB live, 354.3MiB allocated
Remove

(abs t)

Compiler

Compiled 1 742 to 436 computations (75% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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