Graphics.Rasterific.Svg.PathConverter:arcToSegments from rasterific-svg-0.2.3.1

Time bar (total: 9.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze232.0ms (2.6%)

Memory
35.8MiB live, 190.6MiB 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
0%0%99.8%0.2%0%0%0%4
25%25%74.9%0.2%0%0%0%5
25%25%74.9%0.2%0%0%0%6
37.5%37.4%62.4%0.2%0%0%0%7
37.5%37.4%62.4%0.2%0%0%0%8
56.3%56.1%43.7%0.2%0%0%0%9
56.3%56.1%43.7%0.2%0%0%0%10
65.6%65.5%34.3%0.2%0%0%0%11
65.6%65.5%34.3%0.2%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample976.0ms (10.9%)

Memory
28.0MiB live, 1 919.4MiB allocated
Samples
664.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 367.0ms
ival-mult: 222.0ms (60.5% of total)
ival-div: 97.0ms (26.4% of total)
ival-add: 38.0ms (10.3% of total)
ival-true: 7.0ms (1.9% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain127.0ms (1.4%)

Memory
-27.4MiB live, 294.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
620-1(-1.6035614368777114e-134 3.83974382215399e-158 5.261498928634852e+270 1.5673812227748568e-46)(/.f64 (*.f64 x x) (*.f64 y y))
551(1.9982814178184495e-74 -3.1809496401847745e+67 1.4151510230190868e+115 -4.134570308207854e+276)1(1.1821968397539606e-278 -7.301025313053853e+291 3.246032451651944e-98 -1.9686116452376868e-158)(/.f64 (*.f64 z z) (*.f64 t t))
00-0-t
00-0-(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
00-0-z
00-0-(*.f64 x x)
00-0-(*.f64 t t)
00-0-(*.f64 z z)
00-0-y
00-0-(*.f64 y y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 z z) (*.f64 t t))u/u130
(*.f64 z z)underflow61
(*.f64 t t)underflow65
/.f64(/.f64 (*.f64 x x) (*.f64 y y))u/u110
(*.f64 x x)underflow64
(*.f64 y y)underflow54
/.f64(/.f64 (*.f64 x x) (*.f64 y y))o/o110
(*.f64 x x)overflow61
(*.f64 y y)overflow67
/.f64(/.f64 (*.f64 z z) (*.f64 t t))o/o100
(*.f64 z z)overflow59
(*.f64 t t)overflow63
/.f64(/.f64 (*.f64 x x) (*.f64 y y))n/u80
(*.f64 y y)underflow54
/.f64(/.f64 (*.f64 z z) (*.f64 t t))n/u70
(*.f64 t t)underflow65
/.f64(/.f64 (*.f64 x x) (*.f64 y y))o/n60
(*.f64 x x)overflow61
/.f64(/.f64 (*.f64 x x) (*.f64 y y))u/n60
(*.f64 x x)underflow64
/.f64(/.f64 (*.f64 x x) (*.f64 y y))n/o50
(*.f64 y y)overflow67
/.f64(/.f64 (*.f64 z z) (*.f64 t t))o/n50
(*.f64 z z)overflow59
/.f64(/.f64 (*.f64 z z) (*.f64 t t))u/n40
(*.f64 z z)underflow61
/.f64(/.f64 (*.f64 z z) (*.f64 t t))n/o30
(*.f64 t t)overflow63
Confusion
Predicted +Predicted -
+717
-15163
Precision
0.8255813953488372
Recall
0.9102564102564102
Confusion?
Predicted +Predicted MaybePredicted -
+7107
-150163
Precision?
0.8255813953488372
Recall?
0.9102564102564102
Freqs
test
numberfreq
0170
183
23
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
44.0ms512×0valid
Compiler

Compiled 109 to 37 computations (66.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 16.0ms (65.7% of total)
ival-div: 6.0ms (24.6% of total)
ival-add: 2.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess263.0ms (2.9%)

Memory
11.0MiB live, 50.2MiB allocated
Algorithm
egg-herbie
Rules
1 238×unsub-neg
1 000×distribute-lft-in
984×distribute-rgt-in
850×associate-/l*
770×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044214
1175214
2626214
32107214
43907214
54792214
64924214
74984214
85060214
95119214
105791214
116095214
126095214
136095214
146463214
156639214
166799214
176863214
186863214
01115
01815
13115
24315
34315
04314
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
Outputs
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
Symmetry

(abs t)

(abs z)

(abs y)

(abs x)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.5%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify4.0ms (0%)

Memory
8.7MiB live, 8.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x x)
cost-diff128
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
Rules
28×lower-*.f32
24×lower-/.f32
20×lower-*.f64
20×lower-/.f64
12×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
01845
13145
24345
34345
04344
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 z z)
z
(*.f64 t t)
t
Outputs
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 (/.f64 x y) y) x)
(*.f64 x x)
x
(*.f64 y y)
y
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 (/.f64 (/.f64 z t) t) z)
(*.f64 z z)
z
(*.f64 t t)
t

localize54.0ms (0.6%)

Memory
-42.5MiB live, 64.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0
(*.f64 t t)
accuracy12.67074746050187
(/.f64 (*.f64 z z) (*.f64 t t))
accuracy14.638926811824035
(/.f64 (*.f64 x x) (*.f64 y y))
Samples
20.0ms256×0valid
Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 7.0ms (60.8% of total)
ival-div: 3.0ms (26% of total)
ival-add: 1.0ms (8.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series48.0ms (0.5%)

Memory
-5.5MiB live, 33.4MiB allocated
Counts
7 → 144
Calls
Call 1
Inputs
#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())
#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation binary64>) () ())
Outputs
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor 0 t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor 0 t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor 0 t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor 0 t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor inf t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor inf t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor inf t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor inf t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor inf t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor inf t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor inf t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor inf t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor inf t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor inf t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor inf t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor inf t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor -inf t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor -inf t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor -inf t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor -inf t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor -inf t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor -inf t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor -inf t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor -inf t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor -inf t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor -inf t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor -inf t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor 0 z) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor 0 z) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor 0 z) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor 0 z) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
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#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
32.0ms
x
@0
((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t))
2.0ms
y
@0
((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t))
1.0ms
x
@inf
((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t))
1.0ms
t
@0
((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t))
1.0ms
t
@inf
((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t))

simplify213.0ms (2.4%)

Memory
28.5MiB live, 143.4MiB allocated
Algorithm
egg-herbie
Rules
9 376×lower-fma.f64
9 376×lower-fma.f32
5 820×lower-*.f64
5 820×lower-*.f32
1 774×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0291128
1601128
21921128
38231128
428531128
539731128
662621128
777561128
080601092
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
Outputs
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) t) z) (/.f64 z t) (*.f64 x x)) (*.f64 y y))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) t) z) (/.f64 z t) (*.f64 x x)) (*.f64 y y))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) t) z) (/.f64 z t) (*.f64 x x)) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 z t) (/.f64 z t))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)

rewrite204.0ms (2.3%)

Memory
-22.1MiB live, 167.8MiB allocated
Rules
9 024×lower-fma.f64
9 024×lower-fma.f32
6 696×lower-*.f32
6 688×lower-*.f64
4 106×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01141
01841
16933
281333
0837733
Stop Event
iter limit
node limit
iter limit
Counts
7 → 418
Calls
Call 1
Inputs
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(*.f64 x x)
(*.f64 y y)
(*.f64 z z)
(/.f64 (*.f64 x x) (*.f64 y y))
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 t t)
Outputs
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) (/.f64 z t))) (+.f64 (/.f64 x y) (/.f64 z t)))
(*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) (pow.f64 t #s(literal -2 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 x (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 t y)))
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (neg.f64 y)) y)))
(*.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y y))))
(*.f64 (+.f64 y (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y)))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) (neg.f64 y))))
(*.f64 (fma.f64 y y (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) y)))
(*.f64 (fma.f64 (neg.f64 z) (*.f64 z y) (/.f64 (neg.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64))) y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (*.f64 t y))))
(*.f64 (fma.f64 (neg.f64 z) (*.f64 z (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 (neg.f64 t) t)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))
(*.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (neg.f64 (neg.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (*.f64 z z) y (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) y)))
(*.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (fma.f64 (*.f64 x (/.f64 x y)) t (*.f64 y (*.f64 z (/.f64 z t)))) (/.f64 #s(literal 1 binary64) (*.f64 y t)))
(*.f64 (fma.f64 (*.f64 x (/.f64 x y)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) (neg.f64 t) (*.f64 (*.f64 y (neg.f64 z)) z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 t)) t)))
(*.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) t (*.f64 (*.f64 y z) z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y t) t)))
(*.f64 (+.f64 t (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (/.f64 z t))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t)))
(*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (fma.f64 (neg.f64 t) t (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (neg.f64 t))))
(*.f64 (fma.f64 t t (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) t)))
(*.f64 (fma.f64 (neg.f64 x) (*.f64 x t) (/.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) t)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 y t))))
(*.f64 (fma.f64 (neg.f64 x) (*.f64 x (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64))))))
(*.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (neg.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (*.f64 x x) t (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) t)))
(*.f64 (fma.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 z #s(literal -2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (pow.f64 z #s(literal -2 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 y t) #s(literal -2 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))) (*.f64 (neg.f64 t) t))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 x (/.f64 x y))))) (neg.f64 (*.f64 t y)))
(/.f64 (neg.f64 (fma.f64 (*.f64 z (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t)) (neg.f64 (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x))) (neg.f64 (*.f64 (*.f64 t (neg.f64 y)) y)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x)))) (*.f64 (*.f64 t (neg.f64 y)) y))
(/.f64 (neg.f64 (+.f64 y (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) (/.f64 x y)))) (neg.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)))) (neg.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) (neg.f64 x)))) (neg.f64 (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) (neg.f64 y))))
(/.f64 (neg.f64 (fma.f64 y y (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) x))) (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) (neg.f64 y)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) (*.f64 z y) (/.f64 (neg.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64))) y))) (neg.f64 (*.f64 (neg.f64 t) (*.f64 t y))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) (*.f64 z (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 (neg.f64 t) t))) (neg.f64 (*.f64 (neg.f64 t) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (neg.f64 (neg.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) y (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))) (*.f64 (neg.f64 t) (*.f64 t y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 t t))) (*.f64 (neg.f64 t) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) t (*.f64 y (*.f64 z (/.f64 z t))))) (neg.f64 (*.f64 y t)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y)) (neg.f64 (*.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) (neg.f64 t) (*.f64 (*.f64 y (neg.f64 z)) z))) (neg.f64 (*.f64 (*.f64 y (neg.f64 t)) t)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) t (*.f64 (*.f64 y z) z))) (*.f64 (*.f64 y (neg.f64 t)) t))
(/.f64 (neg.f64 (+.f64 t (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (/.f64 z t)))) (neg.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) (neg.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)))))
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(/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) x)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) x) y)
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))))
(/.f64 (*.f64 x (/.f64 x y)) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 x (/.f64 x y)) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x y) x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (/.f64 x y) (/.f64 y x))
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 x x) (*.f64 y y))
(/.f64 x (/.f64 (*.f64 y y) x))
(neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 z (pow.f64 t #s(literal -2 binary64))))
(*.f64 (*.f64 (pow.f64 t #s(literal -2 binary64)) z) z)
(*.f64 (pow.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 z t) #s(literal 1 binary64)) (pow.f64 (/.f64 z t) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 z (pow.f64 t #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) (*.f64 t t)))
(*.f64 (*.f64 (/.f64 z t) z) (pow.f64 t #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 z) t) (/.f64 (neg.f64 z) t))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 z (/.f64 z t)))
(*.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (/.f64 #s(literal 1 binary64) (neg.f64 t)))
(*.f64 (neg.f64 z) (*.f64 z (neg.f64 (pow.f64 t #s(literal -2 binary64)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))))
(*.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))) (*.f64 z #s(literal 1 binary64)))
(*.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))) z)
(*.f64 (*.f64 z (/.f64 z t)) (*.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 z (/.f64 z t)) (pow.f64 t #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -2 binary64)) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 z z))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(*.f64 (/.f64 z t) (*.f64 (/.f64 z t) #s(literal 1 binary64)))
(*.f64 (/.f64 z t) (/.f64 z t))
(*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 (pow.f64 t #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 z) z) (neg.f64 (pow.f64 t #s(literal -2 binary64))))
(*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 z z) (*.f64 (pow.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 z z) (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 z z) (pow.f64 t #s(literal -2 binary64)))
(*.f64 z (*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 z t)))
(*.f64 z (*.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 z (*.f64 (pow.f64 t #s(literal -2 binary64)) z))
(*.f64 z (*.f64 z (pow.f64 t #s(literal -2 binary64))))
(pow.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 z t) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z t) z)) t)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 z t))) (neg.f64 t))
(/.f64 (*.f64 (/.f64 z t) (neg.f64 z)) (neg.f64 t))
(/.f64 (*.f64 (/.f64 z t) #s(literal 1 binary64)) (/.f64 t z))
(/.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64)) (*.f64 (neg.f64 t) t))
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 (*.f64 t t) z))
(/.f64 (neg.f64 (*.f64 (/.f64 z t) z)) (neg.f64 t))
(/.f64 (*.f64 (/.f64 z t) z) t)
(/.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (neg.f64 t))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))))
(/.f64 (*.f64 z (/.f64 z t)) (neg.f64 (neg.f64 t)))
(/.f64 (*.f64 z (/.f64 z t)) t)
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal -2 binary64)))
(/.f64 (/.f64 z t) (/.f64 t z))
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 t) t))
(/.f64 (*.f64 z z) (*.f64 t t))
(/.f64 z (/.f64 (*.f64 t t) z))
(neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) t)) (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 t) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 z t)) #s(literal 2 binary64)))
(*.f64 (neg.f64 (neg.f64 t)) t)
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 t)))
(*.f64 (neg.f64 t) (neg.f64 t))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) t))
(*.f64 #s(literal 1 binary64) (*.f64 t t))
(*.f64 (*.f64 t t) #s(literal 1 binary64))
(*.f64 t (neg.f64 (neg.f64 t)))
(*.f64 t t)
(pow.f64 (exp.f64 (log.f64 t)) #s(literal 2 binary64))
(pow.f64 (*.f64 t t) #s(literal 1 binary64))
(pow.f64 t #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 t) t) #s(literal -1 binary64))
(/.f64 (*.f64 t t) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 t) t))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) t))
(exp.f64 (*.f64 (log.f64 t) #s(literal 2 binary64)))

eval64.0ms (0.7%)

Memory
23.4MiB live, 145.4MiB allocated
Compiler

Compiled 10 577 to 1 105 computations (89.6% saved)

prune27.0ms (0.3%)

Memory
12.0MiB live, 88.3MiB allocated
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New54121562
Fresh000
Picked011
Done000
Total54122563
Accuracy
100.0%
Counts
563 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
60.6%
(/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x))) (*.f64 t (*.f64 y y)))
68.4%
(/.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) t (*.f64 (*.f64 y z) z)) (*.f64 (*.f64 y t) t))
55.3%
(/.f64 (fma.f64 (*.f64 z (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64))))
79.2%
(/.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 x (/.f64 x y)))) (*.f64 t y))
58.3%
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))
65.0%
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x)))) (*.f64 (*.f64 t (neg.f64 y)) y))
85.3%
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t)))
82.5%
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
82.1%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
80.4%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
70.5%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
75.6%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z)))
80.4%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))))
78.2%
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
85.2%
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
82.5%
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t)))
46.7%
(*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))
98.2%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
70.8%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)))
57.2%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
63.1%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
Compiler

Compiled 695 to 491 computations (29.4% saved)

simplify502.0ms (5.6%)

Memory
-32.0MiB live, 100.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x x)
cost-diff128
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) (/.f64 x y))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff128
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t)))
cost-diff0
(/.f64 (*.f64 (/.f64 z t) z) t)
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x x)
cost-diff128
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
cost-diff0
(/.f64 z t)
cost-diff0
(*.f64 (/.f64 z t) (/.f64 z t))
cost-diff0
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
cost-diff0
(/.f64 x y)
cost-diff0
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
cost-diff0
(/.f64 z t)
cost-diff0
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
Rules
1 112×div-sub
1 040×lower-fma.f32
1 038×lower-fma.f64
896×lower-*.f32
880×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037229
057201
191201
2160201
3344201
4631201
51060201
61862201
72193201
82478201
93030201
103372201
113378201
123378201
133494201
143704201
154130201
164568201
174653201
184661201
194661201
204717201
214741201
224741201
234741201
04741201
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 z t)
z
t
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
x
y
#s(literal 2 binary64)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
(*.f64 (/.f64 z t) (/.f64 z t))
(/.f64 z t)
z
t
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(/.f64 (*.f64 (/.f64 z t) z) t)
(*.f64 (/.f64 z t) z)
(/.f64 z t)
z
t
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y)))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(*.f64 (neg.f64 x) (/.f64 x y))
(neg.f64 x)
x
(/.f64 x y)
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 z z)
z
(*.f64 t t)
t
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))
#s(literal 1 binary64)
(/.f64 t (*.f64 (/.f64 z t) z))
t
(*.f64 (/.f64 z t) z)
(/.f64 z t)
z
Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 z t)
z
t
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
x
y
#s(literal 2 binary64)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
(*.f64 (/.f64 z t) (/.f64 z t))
(/.f64 (*.f64 (/.f64 z t) z) t)
(/.f64 z t)
z
t
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(*.f64 x x)
x
(*.f64 y y)
y
(/.f64 (*.f64 (/.f64 z t) z) t)
(*.f64 (/.f64 z t) z)
(/.f64 z t)
z
t
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t)))
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y)))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(*.f64 (neg.f64 x) (/.f64 x y))
(*.f64 (/.f64 (neg.f64 x) y) x)
(neg.f64 x)
x
(/.f64 x y)
(/.f64 (*.f64 z z) (*.f64 t t))
(/.f64 (*.f64 (/.f64 z t) z) t)
(*.f64 z z)
z
(*.f64 t t)
t
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))))
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(*.f64 x x)
x
(*.f64 y y)
y
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))
(/.f64 (*.f64 (/.f64 z t) z) t)
#s(literal 1 binary64)
(/.f64 t (*.f64 (/.f64 z t) z))
t
(*.f64 (/.f64 z t) z)
(/.f64 z t)
z

localize90.0ms (1%)

Memory
16.7MiB live, 133.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.1015625
(*.f64 (/.f64 z t) z)
accuracy0.42421335345465117
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))
accuracy3.0433272133528644
(/.f64 t (*.f64 (/.f64 z t) z))
accuracy14.638926811824035
(/.f64 (*.f64 x x) (*.f64 y y))
accuracy0
(neg.f64 x)
accuracy0.1328125
(*.f64 (neg.f64 x) (/.f64 x y))
accuracy4.015810959375488
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y)))
accuracy12.67074746050187
(/.f64 (*.f64 z z) (*.f64 t t))
accuracy0
(*.f64 x x)
accuracy0.1015625
(*.f64 (/.f64 z t) z)
accuracy3.1024748867715424
(/.f64 (*.f64 (/.f64 z t) z) t)
accuracy14.638926811824035
(/.f64 (*.f64 x x) (*.f64 y y))
accuracy0
(/.f64 z t)
accuracy0.2109375
(*.f64 (/.f64 z t) (/.f64 z t))
accuracy23.515640030593985
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
accuracy0
(/.f64 z t)
accuracy0
(/.f64 x y)
accuracy0.109375
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
accuracy0.228847509768442
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
Samples
67.0ms256×0valid
Compiler

Compiled 224 to 32 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-add: 18.0ms (38.8% of total)
ival-div: 12.0ms (25.9% of total)
ival-mult: 12.0ms (25.9% of total)
ival-pow2: 3.0ms (6.5% of total)
ival-neg: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series42.0ms (0.5%)

Memory
-13.8MiB live, 61.9MiB allocated
Counts
21 → 576
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 z t) (/.f64 z t)) (patch (*.f64 (/.f64 z t) (/.f64 z t)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 z t) z) t) (patch (/.f64 (*.f64 (/.f64 z t) z) t) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 x) (/.f64 x y)) (patch (*.f64 (neg.f64 x) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 z t) z) (patch (*.f64 (/.f64 z t) z) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) #<representation binary64>) () ())
#s(alt (/.f64 t (*.f64 (/.f64 z t) z)) (patch (/.f64 t (*.f64 (/.f64 z t) z)) #<representation binary64>) () ())
Outputs
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) (/.f64 z t)) (patch (*.f64 (/.f64 z t) (/.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) (/.f64 z t)) (patch (*.f64 (/.f64 z t) (/.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) (/.f64 z t)) (patch (*.f64 (/.f64 z t) (/.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) (/.f64 z t)) (patch (*.f64 (/.f64 z t) (/.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 z t) z) t) (patch (/.f64 (*.f64 (/.f64 z t) z) t) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 z t) z) t) (patch (/.f64 (*.f64 (/.f64 z t) z) t) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 z t) z) t) (patch (/.f64 (*.f64 (/.f64 z t) z) t) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 z t) z) t) (patch (/.f64 (*.f64 (/.f64 z t) z) t) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) z) (patch (*.f64 (/.f64 z t) z) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) z) (patch (*.f64 (/.f64 z t) z) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) z) (patch (*.f64 (/.f64 z t) z) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) z) (patch (*.f64 (/.f64 z t) z) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 2) (pow z 2)) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (/.f64 z t) z)) (patch (/.f64 t (*.f64 (/.f64 z t) z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 2) (pow z 2)) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (/.f64 z t) z)) (patch (/.f64 t (*.f64 (/.f64 z t) z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 2) (pow z 2)) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (/.f64 z t) z)) (patch (/.f64 t (*.f64 (/.f64 z t) z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 2) (pow z 2)) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (/.f64 z t) z)) (patch (/.f64 t (*.f64 (/.f64 z t) z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor inf t) (#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor inf t) (#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor inf t) (#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor inf t) (#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ z t) (taylor inf t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt (/ z t) (taylor inf t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt (/ z t) (taylor inf t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt (/ z t) (taylor inf t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor inf t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor inf t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor inf t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor inf t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor inf t) (#s(alt (*.f64 (/.f64 z t) (/.f64 z t)) (patch (*.f64 (/.f64 z t) (/.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor inf t) (#s(alt (*.f64 (/.f64 z t) (/.f64 z t)) (patch (*.f64 (/.f64 z t) (/.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor inf t) (#s(alt (*.f64 (/.f64 z t) (/.f64 z t)) (patch (*.f64 (/.f64 z t) (/.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor inf t) (#s(alt (*.f64 (/.f64 z t) (/.f64 z t)) (patch (*.f64 (/.f64 z t) (/.f64 z t)) #<representation binary64>) () ())) ())
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#s(alt (/ (pow x 2) (pow y 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) #<representation binary64>) () ())) ())
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#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (/.f64 x y)) (patch (*.f64 (neg.f64 x) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (/.f64 x y)) (patch (*.f64 (neg.f64 x) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (/.f64 x y)) (patch (*.f64 (neg.f64 x) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (/.f64 x y)) (patch (*.f64 (neg.f64 x) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
5.0ms
z
@0
((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (+ (* (/ -1 y) (* (neg x) (/ x y))) (/ (* z z) (* t t))) (/ -1 y) (* (neg x) (/ x y)) (neg x) (/ 1 (/ t (* (/ z t) z))) (+ (/ (* x x) (* y y)) (/ 1 (/ t (* (/ z t) z)))) (/ (* x x) (* y y)) (* (/ z t) z) (/ (* z z) (* t t)) (* (/ -1 y) (* (neg x) (/ x y))) (/ t (* (/ z t) z)))
2.0ms
x
@inf
((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (+ (* (/ -1 y) (* (neg x) (/ x y))) (/ (* z z) (* t t))) (/ -1 y) (* (neg x) (/ x y)) (neg x) (/ 1 (/ t (* (/ z t) z))) (+ (/ (* x x) (* y y)) (/ 1 (/ t (* (/ z t) z)))) (/ (* x x) (* y y)) (* (/ z t) z) (/ (* z z) (* t t)) (* (/ -1 y) (* (neg x) (/ x y))) (/ t (* (/ z t) z)))
2.0ms
t
@-inf
((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (+ (* (/ -1 y) (* (neg x) (/ x y))) (/ (* z z) (* t t))) (/ -1 y) (* (neg x) (/ x y)) (neg x) (/ 1 (/ t (* (/ z t) z))) (+ (/ (* x x) (* y y)) (/ 1 (/ t (* (/ z t) z)))) (/ (* x x) (* y y)) (* (/ z t) z) (/ (* z z) (* t t)) (* (/ -1 y) (* (neg x) (/ x y))) (/ t (* (/ z t) z)))
2.0ms
y
@inf
((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (+ (* (/ -1 y) (* (neg x) (/ x y))) (/ (* z z) (* t t))) (/ -1 y) (* (neg x) (/ x y)) (neg x) (/ 1 (/ t (* (/ z t) z))) (+ (/ (* x x) (* y y)) (/ 1 (/ t (* (/ z t) z)))) (/ (* x x) (* y y)) (* (/ z t) z) (/ (* z z) (* t t)) (* (/ -1 y) (* (neg x) (/ x y))) (/ t (* (/ z t) z)))
2.0ms
x
@-inf
((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (+ (* (/ -1 y) (* (neg x) (/ x y))) (/ (* z z) (* t t))) (/ -1 y) (* (neg x) (/ x y)) (neg x) (/ 1 (/ t (* (/ z t) z))) (+ (/ (* x x) (* y y)) (/ 1 (/ t (* (/ z t) z)))) (/ (* x x) (* y y)) (* (/ z t) z) (/ (* z z) (* t t)) (* (/ -1 y) (* (neg x) (/ x y))) (/ t (* (/ z t) z)))

simplify121.0ms (1.3%)

Memory
33.3MiB live, 146.3MiB allocated
Algorithm
egg-herbie
Rules
5 414×lower-*.f64
5 414×lower-*.f32
4 408×lower-fma.f64
4 408×lower-fma.f32
2 296×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0385124
1755124
22195124
38765124
429205124
542005124
673725124
081574944
Stop Event
iter limit
node limit
Counts
576 → 576
Calls
Call 1
Inputs
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
Outputs
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (pow z 2) t)
(*.f64 (/.f64 z t) z)
(/ (pow z 2) t)
(*.f64 (/.f64 z t) z)
(/ (pow z 2) t)
(*.f64 (/.f64 z t) z)
(/ (pow z 2) t)
(*.f64 (/.f64 z t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow t 2) (pow z 2))
(*.f64 (/.f64 (/.f64 t z) z) t)
(/ (pow t 2) (pow z 2))
(*.f64 (/.f64 (/.f64 t z) z) t)
(/ (pow t 2) (pow z 2))
(*.f64 (/.f64 (/.f64 t z) z) t)
(/ (pow t 2) (pow z 2))
(*.f64 (/.f64 (/.f64 t z) z) t)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ (pow z 2) t)
(*.f64 (/.f64 z t) z)
(/ (pow z 2) t)
(*.f64 (/.f64 z t) z)
(/ (pow z 2) t)
(*.f64 (/.f64 z t) z)
(/ (pow z 2) t)
(*.f64 (/.f64 z t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow t 2) (pow z 2))
(*.f64 (/.f64 (/.f64 t z) z) t)
(/ (pow t 2) (pow z 2))
(*.f64 (/.f64 (/.f64 t z) z) t)
(/ (pow t 2) (pow z 2))
(*.f64 (/.f64 (/.f64 t z) z) t)
(/ (pow t 2) (pow z 2))
(*.f64 (/.f64 (/.f64 t z) z) t)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow x 2) (pow y 2))
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(/ (pow z 2) t)
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(/ (pow z 2) t)
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(/ (pow z 2) t)
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(/ (pow z 2) t)
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ z t)
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(/ z t)
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(/ z t)
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(/ z t)
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)

rewrite335.0ms (3.7%)

Memory
10.5MiB live, 322.6MiB allocated
Rules
6 080×lower-fma.f32
6 078×lower-fma.f64
5 092×lower-/.f32
5 076×lower-/.f64
3 172×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037172
057131
1216129
22329129
08562129
Stop Event
iter limit
node limit
iter limit
Counts
21 → 2 092
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 z t)
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
(*.f64 (/.f64 z t) (/.f64 z t))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(*.f64 x x)
(*.f64 y y)
(/.f64 (*.f64 (/.f64 z t) z) t)
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t)))
(/.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 x) (/.f64 x y))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 z t) z)
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y)))
(/.f64 t (*.f64 (/.f64 z t) z))
Outputs
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 y t) #s(literal -2 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 x x) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 x x) t (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (pow.f64 (*.f64 (*.f64 y y) t) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (*.f64 y y))) (*.f64 (neg.f64 t) t))
(/.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 x x) (*.f64 y y)) (*.f64 y y))) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 x x) t (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (*.f64 y y))) (neg.f64 t))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 x x) (*.f64 y y)))) (neg.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) t (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)))) (neg.f64 (neg.f64 (*.f64 (*.f64 y y) t))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) z) y (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 x y) x)))) (neg.f64 (*.f64 (*.f64 (neg.f64 t) t) y)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) y) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 y) y))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (*.f64 (neg.f64 t) t) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 (neg.f64 t) t) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 (neg.f64 t) t) (*.f64 y y))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z t)) y (*.f64 (neg.f64 t) (*.f64 (/.f64 x y) x)))) (neg.f64 (*.f64 (neg.f64 t) y)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 t) (*.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 (neg.f64 t) (*.f64 (neg.f64 y) y))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (neg.f64 t) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 t) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (*.f64 y y) (*.f64 (neg.f64 t) (*.f64 x x)))) (neg.f64 (*.f64 (neg.f64 t) (*.f64 y y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) y (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (/.f64 x y) x)))) (neg.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (neg.f64 y) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)))) (neg.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) y (*.f64 (*.f64 t t) (*.f64 (/.f64 x y) x)))) (neg.f64 (*.f64 (*.f64 t t) y)))
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (*.f64 (neg.f64 y) y) (*.f64 (*.f64 t t) (*.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 (neg.f64 y) y))))
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (*.f64 t t) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 t t) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 y) (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 (/.f64 x y) x)))) (neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) y)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 (neg.f64 y) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 x x)))) (neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 y y))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x)))) (neg.f64 (*.f64 t y)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 z t) z) (*.f64 (neg.f64 y) y) (*.f64 t (*.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 t (*.f64 (neg.f64 y) y))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 z t) z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 t #s(literal 1 binary64)))) (neg.f64 (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x y) x) (*.f64 (neg.f64 t) t) (*.f64 y (*.f64 (neg.f64 z) z)))) (neg.f64 (*.f64 y (*.f64 (neg.f64 t) t))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x y) x) (neg.f64 t) (*.f64 y (*.f64 (neg.f64 z) (/.f64 z t))))) (neg.f64 (*.f64 y (neg.f64 t))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x y) x) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 y #s(literal 1 binary64)))) (neg.f64 (*.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x y) x) (*.f64 t t) (*.f64 y (*.f64 z z)))) (neg.f64 (*.f64 y (*.f64 t t))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x y) x) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 y #s(literal -1 binary64)))) (neg.f64 (*.f64 y (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x y) x) t (*.f64 y (*.f64 (/.f64 z t) z)))) (neg.f64 (*.f64 y t)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 z) z)))) (neg.f64 (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 t) t))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 x) x) (neg.f64 t) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 z) (/.f64 z t))))) (neg.f64 (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 t))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 (/.f64 z t) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 x) x) (*.f64 t t) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 z z)))) (neg.f64 (*.f64 (*.f64 (neg.f64 y) y) (*.f64 t t))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 x) x) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)))) (neg.f64 (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 x) x) t (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 z t) z)))) (neg.f64 (*.f64 (*.f64 (neg.f64 y) y) t)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (neg.f64 z) z)))) (neg.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (neg.f64 t) t))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 t) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (neg.f64 z) (/.f64 z t))))) (neg.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (neg.f64 t))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 t t) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 z z)))) (neg.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 t t))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)))) (neg.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) t (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (/.f64 z t) z)))) (neg.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t)))
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(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) y))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (/.f64 x y)))) (neg.f64 (*.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (/.f64 x y)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64))) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 x y)) #s(literal 1 binary64))) (neg.f64 (*.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 x y)) #s(literal 1 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) x))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y))))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 (*.f64 (/.f64 y x) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 (/.f64 y x) y)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 y) (/.f64 y x))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) (neg.f64 (*.f64 y (*.f64 y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 (*.f64 (*.f64 y #s(literal -1 binary64)) y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 y (/.f64 y x))))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) y)) y)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (/.f64 x y))) (*.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (/.f64 x y))) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 y x))
(/.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 x y)) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) x)) y)
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y)))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (*.f64 y y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y x) y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y x)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y (/.f64 y x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 y y))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 y #s(literal -1 binary64)) y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (*.f64 (/.f64 x y) x) y)
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y))) (neg.f64 (*.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y))) y)
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 x) (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 (neg.f64 x) (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) y) (*.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (/.f64 y x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 y x)) (*.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y #s(literal -1 binary64)) y) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 x) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (*.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))))
(/.f64 (*.f64 x x) (*.f64 y y))
(/.f64 (/.f64 x y) (/.f64 y x))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)))
(neg.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 x y) x)))
(neg.f64 (*.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (/.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 x y) x) (*.f64 y #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 y x)) (/.f64 (/.f64 x (neg.f64 y)) (/.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 (/.f64 x y) x) (neg.f64 y)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 t) t) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 t z) t) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (neg.f64 z) (/.f64 z t)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (neg.f64 t) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 t) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (neg.f64 z) (/.f64 z t)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 t t))
(*.f64 (pow.f64 (/.f64 (/.f64 t z) z) #s(literal 1 binary64)) t)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 (pow.f64 t #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (/.f64 t z) t))
(*.f64 (pow.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (neg.f64 z) (/.f64 z t)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 t #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal -2 binary64)) (pow.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (neg.f64 t) t) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64)) (*.f64 (neg.f64 t) t))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (pow.f64 t #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 t t))
(*.f64 (pow.f64 (*.f64 (neg.f64 z) (/.f64 z t)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 z) (/.f64 z t)) #s(literal -1 binary64)) (neg.f64 t))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 t z) t))
(*.f64 (*.f64 (/.f64 t z) t) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 t z) z) t)
(*.f64 (/.f64 t z) (/.f64 t z))
(*.f64 (neg.f64 t) (pow.f64 (*.f64 (neg.f64 z) (/.f64 z t)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal -2 binary64)))
(*.f64 (*.f64 t t) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 t t) (pow.f64 z #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 z t) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))))
(*.f64 t (pow.f64 (/.f64 (/.f64 t z) z) #s(literal 1 binary64)))
(*.f64 t (/.f64 (/.f64 t z) z))
(pow.f64 (/.f64 t z) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 z t) #s(literal -2 binary64))
(/.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) (neg.f64 (pow.f64 t #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 t z) t))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 t #s(literal 1 binary64))) (*.f64 (neg.f64 z) (/.f64 z t)))
(/.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) (neg.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 t))) (neg.f64 (neg.f64 (*.f64 (neg.f64 z) (/.f64 z t)))))
(/.f64 (neg.f64 (/.f64 (/.f64 t z) z)) (neg.f64 (pow.f64 t #s(literal -1 binary64))))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 t #s(literal -2 binary64)))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z (pow.f64 t #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 t z) t)) (neg.f64 (*.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (*.f64 (/.f64 t z) t)) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (neg.f64 t) t)) (neg.f64 (*.f64 (neg.f64 z) z)))
(/.f64 (neg.f64 (neg.f64 t)) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 z t)))))
(/.f64 (neg.f64 (neg.f64 t)) (neg.f64 (*.f64 (neg.f64 z) (/.f64 z t))))
(/.f64 (neg.f64 (/.f64 t z)) (neg.f64 (/.f64 z t)))
(/.f64 (*.f64 t #s(literal 1 binary64)) (*.f64 (/.f64 z t) z))
(/.f64 (*.f64 (/.f64 t z) t) (*.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (/.f64 t z) t) z)
(/.f64 (/.f64 (/.f64 t z) z) (pow.f64 t #s(literal -1 binary64)))
(/.f64 (/.f64 t z) (/.f64 z t))
(/.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 z) z))
(/.f64 (neg.f64 t) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 z t))))
(/.f64 (neg.f64 t) (*.f64 (neg.f64 z) (/.f64 z t)))
(/.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 t #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))) (pow.f64 z #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z t) z) (*.f64 t #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(/.f64 (*.f64 t t) (*.f64 z z))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))))
(/.f64 t (*.f64 (/.f64 z t) z))
(neg.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)) (/.f64 (*.f64 t t) (*.f64 (neg.f64 z) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 z t)))) (/.f64 t (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 z t)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (/.f64 z t))) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 (log.f64 z) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 z t)) #s(literal -2 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))))

eval673.0ms (7.5%)

Memory
9.3MiB live, 890.2MiB allocated
Compiler

Compiled 63 643 to 3 542 computations (94.4% saved)

prune367.0ms (4.1%)

Memory
18.5MiB live, 216.4MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New3 293113 304
Fresh12416
Picked415
Done011
Total3 309173 326
Accuracy
100.0%
Counts
3 326 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.8%
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
99.7%
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
58.3%
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))
82.5%
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
70.5%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
84.3%
(+.f64 (/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y (/.f64 y x))) (/.f64 (*.f64 z z) (*.f64 t t)))
78.2%
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
85.2%
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
70.8%
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)))
61.3%
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 z t) t) z))
57.2%
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x))
63.2%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
62.6%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
56.7%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
61.3%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
62.6%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))))
63.1%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
Compiler

Compiled 395 to 308 computations (22% saved)

simplify8.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) x)
cost-diff0
(/.f64 (*.f64 (/.f64 x y) x) y)
cost-diff128
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
cost-diff0
(/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))
cost-diff0
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))))
cost-diff320
(*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 (/.f64 x y) y)
cost-diff0
(*.f64 (/.f64 (/.f64 x y) y) x)
cost-diff0
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x))
cost-diff-384
(/.f64 (*.f64 z z) (*.f64 t t))
cost-diff0
(*.f64 t t)
cost-diff0
(*.f64 z z)
cost-diff0
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) (/.f64 x y))
cost-diff0
(/.f64 z t)
cost-diff0
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
Rules
96×lower-*.f32
84×lower-/.f32
82×lower-*.f64
70×lower-/.f64
40×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035221
051205
178205
2111205
3149205
4195205
5207205
0207205
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 z t)
z
t
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 z z)
z
(*.f64 t t)
t
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))
t
(*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))
(*.f64 (/.f64 z t) z)
(/.f64 z t)
z
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
(/.f64 (*.f64 (/.f64 x y) x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 z z)
z
(*.f64 t t)
t
Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/.f64 z t)
z
t
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/.f64 x y)
x
y
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 (/.f64 (/.f64 z t) t) z)
(*.f64 z z)
z
(*.f64 t t)
t
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 z t) t) z)
#s(literal 1 binary64)
(/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))
(/.f64 t (*.f64 (/.f64 z t) z))
t
(*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))
(*.f64 (/.f64 z t) z)
(*.f64 (/.f64 z t) z)
(/.f64 z t)
z
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/.f64 (*.f64 (/.f64 x y) x) y)
(*.f64 (/.f64 (/.f64 x y) y) x)
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 (/.f64 (/.f64 z t) t) z)
(*.f64 z z)
z
(*.f64 t t)
t

localize95.0ms (1.1%)

Memory
-82.1MiB live, 91.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 t t)
accuracy0.1328125
(*.f64 (/.f64 x y) x)
accuracy3.9588384496070446
(/.f64 (*.f64 (/.f64 x y) x) y)
accuracy12.67074746050187
(/.f64 (*.f64 z z) (*.f64 t t))
accuracy0.1015625
(*.f64 (/.f64 z t) z)
accuracy0.42421335345465117
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))
accuracy3.0433272133528644
(/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))
accuracy23.515640030593985
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))))
accuracy0
(/.f64 x y)
accuracy0.12109375
(/.f64 (/.f64 x y) y)
accuracy2.4854646928646815
(*.f64 (/.f64 (/.f64 x y) y) x)
accuracy27.335513992254793
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x))
accuracy0
(*.f64 z z)
accuracy0
(*.f64 t t)
accuracy12.67074746050187
(/.f64 (*.f64 z z) (*.f64 t t))
accuracy23.515640030593985
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
accuracy0
(/.f64 z t)
accuracy0
(/.f64 x y)
accuracy0.109375
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
accuracy0.228847509768442
(*.f64 (/.f64 x y) (/.f64 x y))
Samples
74.0ms256×0valid
Compiler

Compiled 196 to 30 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 37.0ms (67.2% of total)
ival-div: 13.0ms (23.6% of total)
ival-add: 4.0ms (7.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series55.0ms (0.6%)

Memory
9.0MiB live, 47.1MiB allocated
Counts
19 → 552
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) #<representation binary64>) () ())
#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x y) (/.f64 x y)) (patch (*.f64 (/.f64 x y) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())
#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (/.f64 x y) y) x) (patch (*.f64 (/.f64 (/.f64 x y) y) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) (patch (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) (patch (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 x y) x) y) (patch (/.f64 (*.f64 (/.f64 x y) x) y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x y) x) (patch (*.f64 (/.f64 x y) x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 z t) z) (patch (*.f64 (/.f64 z t) z) #<representation binary64>) () ())
Outputs
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor 0 t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor 0 t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor 0 t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor 0 t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) t) (taylor 0 t) (#s(alt (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) (patch (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) t) (taylor 0 t) (#s(alt (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) (patch (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
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#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (/.f64 x y)) (patch (*.f64 (/.f64 x y) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (/.f64 x y)) (patch (*.f64 (/.f64 x y) (/.f64 x y)) #<representation binary64>) () ())) ())
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#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (/.f64 x y)) (patch (*.f64 (/.f64 x y) (/.f64 x y)) #<representation binary64>) () ())) ())
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#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x y) x) y) (patch (/.f64 (*.f64 (/.f64 x y) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x y) x) y) (patch (/.f64 (*.f64 (/.f64 x y) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x y) x) y) (patch (/.f64 (*.f64 (/.f64 x y) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x y) x) y) (patch (/.f64 (*.f64 (/.f64 x y) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) x) (patch (*.f64 (/.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) x) (patch (*.f64 (/.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) x) (patch (*.f64 (/.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) x) (patch (*.f64 (/.f64 x y) x) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (/ z t) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* (/ (/ x y) y) x) (/ (/ x y) y) (/ 1 (/ t (* (* (/ z t) z) 1))) (* (* (/ z t) z) 1) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t (* (* (/ z t) z) 1)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ (* (/ x y) x) y) (* (/ x y) x) (* (/ z t) z))
2.0ms
x
@inf
((+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (/ z t) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* (/ (/ x y) y) x) (/ (/ x y) y) (/ 1 (/ t (* (* (/ z t) z) 1))) (* (* (/ z t) z) 1) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t (* (* (/ z t) z) 1)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ (* (/ x y) x) y) (* (/ x y) x) (* (/ z t) z))
2.0ms
t
@-inf
((+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (/ z t) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* (/ (/ x y) y) x) (/ (/ x y) y) (/ 1 (/ t (* (* (/ z t) z) 1))) (* (* (/ z t) z) 1) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t (* (* (/ z t) z) 1)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ (* (/ x y) x) y) (* (/ x y) x) (* (/ z t) z))
2.0ms
z
@inf
((+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (/ z t) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* (/ (/ x y) y) x) (/ (/ x y) y) (/ 1 (/ t (* (* (/ z t) z) 1))) (* (* (/ z t) z) 1) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t (* (* (/ z t) z) 1)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ (* (/ x y) x) y) (* (/ x y) x) (* (/ z t) z))
2.0ms
z
@-inf
((+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (/ z t) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* (/ (/ x y) y) x) (/ (/ x y) y) (/ 1 (/ t (* (* (/ z t) z) 1))) (* (* (/ z t) z) 1) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t (* (* (/ z t) z) 1)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ (* (/ x y) x) y) (* (/ x y) x) (* (/ z t) z))

simplify198.0ms (2.2%)

Memory
1.4MiB live, 185.8MiB allocated
Algorithm
egg-herbie
Rules
8 838×lower-fma.f64
8 838×lower-fma.f32
5 934×lower-*.f64
5 934×lower-*.f32
1 826×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0354944
1664944
22024944
38514944
428714944
539944944
663384944
778294944
081334764
Stop Event
iter limit
node limit
Counts
552 → 552
Calls
Call 1
Inputs
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(pow t 2)
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(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
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(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
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(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ (pow x 2) (pow y 2))
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(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow x 2) (pow y 2))
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(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(pow z 2)
(pow z 2)
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(pow z 2)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
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(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ x y)
(/ x y)
(/ x y)
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(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
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(/ (pow x 2) (pow y 2))
(/ x (pow y 2))
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(/ x (pow y 2))
(/ x (pow y 2))
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(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
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(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
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(/ x y)
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(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
Outputs
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ z t)
(/.f64 z t)
(/ z t)
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(/ z t)
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(/ (pow z 2) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(pow t 2)
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) t)
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(/ (pow z 2) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (pow t 2) (pow z 2))
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(/ (pow z 2) t)
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(/ (pow z 2) t)
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(/ (pow z 2) t)
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(/ (pow x 2) (pow y 2))
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(/ z t)
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(/ (pow x 2) (pow y 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow x 2) (pow y 2))
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(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) t)
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(/ (pow z 2) t)
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(/ (pow z 2) t)
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(/ (pow x 2) (pow y 2))
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(/ (pow t 2) (pow z 2))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ z t)
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(/ (pow x 2) (pow y 2))
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(pow t 2)
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)

rewrite401.0ms (4.5%)

Memory
23.2MiB live, 347.9MiB allocated
Rules
7 418×lower-fma.f32
7 416×lower-fma.f64
5 254×lower-/.f32
5 240×lower-/.f64
3 848×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035184
051137
1205135
22141135
08615135
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 303
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 z t)
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x y)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
(*.f64 z z)
(*.f64 t t)
(/.f64 (*.f64 z z) (*.f64 t t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/.f64 (/.f64 x y) y)
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))))
(/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
(/.f64 (*.f64 (/.f64 x y) x) y)
(*.f64 (/.f64 x y) x)
(*.f64 (/.f64 z t) z)
Outputs
(*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) (pow.f64 t #s(literal -2 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) t (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (pow.f64 y #s(literal -2 binary64))) (pow.f64 t #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 y z) z (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) y) (pow.f64 t #s(literal -2 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) t (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 y y) t))))
(*.f64 (neg.f64 (fma.f64 (*.f64 y z) z (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 t t) y))))
(*.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (neg.f64 y) (*.f64 (neg.f64 t) (*.f64 (neg.f64 x) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (neg.f64 y))))
(*.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 t) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (*.f64 (neg.f64 y) y))))
(*.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z t)) y (*.f64 (neg.f64 t) (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) y)))
(*.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (neg.f64 t) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(*.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (*.f64 y y) (*.f64 (neg.f64 t) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (*.f64 y y))))
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (neg.f64 y) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 x) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 y))))
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) y) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 y) y))))
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) y (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) y)))
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (*.f64 (neg.f64 t) t) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 y y))))
(*.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 (neg.f64 x) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (neg.f64 y))))
(*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 (neg.f64 y) y))))
(*.f64 (+.f64 (neg.f64 y) (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) y)))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 y y))))
(*.f64 (fma.f64 (*.f64 (/.f64 z t) z) (neg.f64 y) (*.f64 t (*.f64 (neg.f64 x) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 t (neg.f64 y))))
(*.f64 (fma.f64 (*.f64 (/.f64 z t) z) (*.f64 (neg.f64 y) y) (*.f64 t (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (neg.f64 y) y))))
(*.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) (*.f64 t y)))
(*.f64 (fma.f64 (*.f64 (/.f64 z t) z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(*.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 y) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (neg.f64 x) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (neg.f64 y))))
(*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (neg.f64 y) y))))
(*.f64 (fma.f64 #s(literal 1 binary64) y (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y)))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 y y) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 y y))))
(*.f64 (fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 (*.f64 t t) (*.f64 (neg.f64 x) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (neg.f64 y))))
(*.f64 (fma.f64 (*.f64 z z) (*.f64 (neg.f64 y) y) (*.f64 (*.f64 t t) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (*.f64 (neg.f64 y) y))))
(*.f64 (fma.f64 (*.f64 z z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (*.f64 t t) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 t) (*.f64 (neg.f64 y) (*.f64 (neg.f64 z) (/.f64 z t)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 t))))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 y) (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 (neg.f64 t) t))))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 (neg.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))))))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) (/.f64 x y)) t (*.f64 (neg.f64 y) (*.f64 (/.f64 z t) z))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) t)))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (pow.f64 (/.f64 z t) #s(literal -2 binary64)))))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (*.f64 t t) (*.f64 (neg.f64 y) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 t t))))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (neg.f64 t) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 z) (/.f64 z t)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 t))))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 t) t))))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))))))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) t (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 z t) z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) t)))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 (/.f64 z t) #s(literal -2 binary64)))))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (*.f64 t t) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 t t))))
(*.f64 (fma.f64 (*.f64 (/.f64 x y) x) (neg.f64 t) (*.f64 y (*.f64 (neg.f64 z) (/.f64 z t)))) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 t))))
(*.f64 (fma.f64 (*.f64 (/.f64 x y) x) (*.f64 (neg.f64 t) t) (*.f64 y (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (neg.f64 t) t))))
(*.f64 (fma.f64 (*.f64 (/.f64 x y) x) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))))))
(*.f64 (fma.f64 (*.f64 (/.f64 x y) x) t (*.f64 y (*.f64 (/.f64 z t) z))) (/.f64 #s(literal 1 binary64) (*.f64 y t)))
(*.f64 (fma.f64 (*.f64 (/.f64 x y) x) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64)))))
(*.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 t) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (neg.f64 z) (/.f64 z t)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (neg.f64 t))))
(*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (neg.f64 t) t))))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))))))
(*.f64 (+.f64 t (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (/.f64 z t) z))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t)))
(*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 t t) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 t t))))
(*.f64 (fma.f64 (*.f64 x x) (neg.f64 t) (*.f64 (*.f64 y y) (*.f64 (neg.f64 z) (/.f64 z t)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (neg.f64 t))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (neg.f64 t) t) (*.f64 (*.f64 y y) (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (neg.f64 t) t))))
(*.f64 (fma.f64 (*.f64 x x) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))))))
(*.f64 (fma.f64 (*.f64 x x) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (pow.f64 (/.f64 z t) #s(literal -2 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(fma.f64 (*.f64 (/.f64 z t) #s(literal 1 binary64)) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 z t) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 (neg.f64 z) t) (/.f64 (neg.f64 z) t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 z (neg.f64 t)) (/.f64 z (neg.f64 t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
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(+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
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(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y)))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) y))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 (*.f64 (/.f64 y x) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 y y) x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 y) (/.f64 y x))))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 y y) x)))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 y x))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y y) x))
(/.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y x)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 y y) x))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (*.f64 y y) x)))
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))))
(/.f64 (*.f64 (/.f64 x y) x) y)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) x) (*.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (/.f64 y x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) x) (*.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (*.f64 x x) (*.f64 y y))
(/.f64 (/.f64 x y) (/.f64 y x))
(/.f64 x (/.f64 (*.f64 y y) x))
(neg.f64 (/.f64 (*.f64 (/.f64 x y) x) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) y))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 y #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 (/.f64 x y) x) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (/.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64)))
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(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 x y))
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 x y))
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(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x))
(*.f64 (*.f64 x x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(pow.f64 (/.f64 y (*.f64 x x)) #s(literal -1 binary64))
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(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 y x)))
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(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 x #s(literal 1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x)))
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 x) (/.f64 x y)))
(*.f64 (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 t #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (neg.f64 t) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z t) z))
(*.f64 (*.f64 z z) (pow.f64 t #s(literal -1 binary64)))
(*.f64 (/.f64 z t) z)
(*.f64 z (*.f64 (/.f64 z t) #s(literal 1 binary64)))
(*.f64 z (/.f64 z t))
(pow.f64 (/.f64 (/.f64 t z) z) #s(literal -1 binary64))
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(/.f64 (neg.f64 (*.f64 (neg.f64 z) z)) (neg.f64 (neg.f64 t)))
(/.f64 (*.f64 (neg.f64 z) (/.f64 z t)) #s(literal -1 binary64))
(/.f64 (neg.f64 z) (neg.f64 (/.f64 t z)))
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 t))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 t z) z)))
(/.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) z))
(/.f64 (*.f64 z z) t)
(/.f64 z (/.f64 t z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 z) (/.f64 z t)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 t z) z)) #s(literal -1 binary64)))

eval691.0ms (7.7%)

Memory
23.6MiB live, 665.3MiB allocated
Compiler

Compiled 38 508 to 2 884 computations (92.5% saved)

prune89.0ms (1%)

Memory
-2.1MiB live, 142.4MiB allocated
Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New2 26992 278
Fresh6410
Picked235
Done112
Total2 278172 295
Accuracy
100.0%
Counts
2 295 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
58.3%
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))
61.3%
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
54.0%
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y))
57.2%
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y x))))
46.4%
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y)))
51.8%
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (/.f64 (*.f64 y y) x)))
54.0%
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64)))))
57.2%
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x))
51.8%
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x))
57.1%
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y)))
63.2%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
62.6%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
56.7%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
61.3%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
62.9%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z))))
63.1%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
Compiler

Compiled 284 to 263 computations (7.4% saved)

simplify12.0ms (0.1%)

Memory
-25.8MiB live, 10.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 t z)
cost-diff0
(*.f64 (/.f64 t z) (/.f64 t z))
cost-diff0
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z))))
cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) x)
cost-diff0
(/.f64 (*.f64 (/.f64 x y) x) y)
cost-diff0
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y))
cost-diff0
(/.f64 z t)
cost-diff0
(*.f64 (/.f64 z t) z)
cost-diff0
(/.f64 (*.f64 (/.f64 z t) z) t)
cost-diff0
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
cost-diff-384
(*.f64 (/.f64 x (*.f64 y y)) x)
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 x (*.f64 y y))
cost-diff0
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x))
cost-diff0
(/.f64 t z)
cost-diff0
(/.f64 z t)
cost-diff0
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
cost-diff384
(/.f64 (/.f64 z t) (/.f64 t z))
Rules
96×lower-*.f32
86×lower-*.f64
72×lower-/.f32
56×lower-/.f64
42×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034205
047201
170201
282201
398201
4117201
5168201
6187201
0187196
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
(/.f64 (/.f64 z t) (/.f64 t z))
(/.f64 z t)
z
t
(/.f64 t z)
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x))
(*.f64 (/.f64 x (*.f64 y y)) x)
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
(/.f64 (*.f64 (/.f64 z t) z) t)
(*.f64 (/.f64 z t) z)
(/.f64 z t)
z
t
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y))
(/.f64 (*.f64 (/.f64 x y) x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))
#s(literal 1 binary64)
(*.f64 (/.f64 t z) (/.f64 t z))
(/.f64 t z)
t
z
Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
(/.f64 (/.f64 z t) (/.f64 t z))
(/.f64 (*.f64 (/.f64 z t) z) t)
(/.f64 z t)
z
t
(/.f64 t z)
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (/.f64 x (*.f64 y y)) x)
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
(/.f64 (*.f64 (/.f64 z t) z) t)
(*.f64 (/.f64 z t) z)
(/.f64 z t)
z
t
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (*.f64 (/.f64 x y) x) y)
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))
(/.f64 (*.f64 (/.f64 z t) z) t)
#s(literal 1 binary64)
(*.f64 (/.f64 t z) (/.f64 t z))
(*.f64 (/.f64 (/.f64 t z) z) t)
(/.f64 t z)
t
z

localize66.0ms (0.7%)

Memory
20.5MiB live, 140.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 t z)
accuracy0.19597626953688402
(*.f64 (/.f64 t z) (/.f64 t z))
accuracy0.42421335345465117
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))
accuracy23.515640030593985
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z))))
accuracy0
(/.f64 x y)
accuracy0.1328125
(*.f64 (/.f64 x y) x)
accuracy3.9588384496070446
(/.f64 (*.f64 (/.f64 x y) x) y)
accuracy27.335513992254793
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y))
accuracy0
(/.f64 z t)
accuracy0.1015625
(*.f64 (/.f64 z t) z)
accuracy3.1024748867715424
(/.f64 (*.f64 (/.f64 z t) z) t)
accuracy23.515640030593985
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
accuracy0
(*.f64 y y)
accuracy2.4854646928646815
(*.f64 (/.f64 x (*.f64 y y)) x)
accuracy8.08818682161559
(/.f64 x (*.f64 y y))
accuracy27.335513992254793
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x))
accuracy0
(/.f64 z t)
accuracy0
(/.f64 t z)
accuracy0.146816259768442
(/.f64 (/.f64 z t) (/.f64 t z))
accuracy23.515640030593985
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
Samples
51.0ms256×0valid
Compiler

Compiled 165 to 27 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 16.0ms (44.1% of total)
ival-mult: 13.0ms (35.8% of total)
ival-add: 7.0ms (19.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series43.0ms (0.5%)

Memory
-4.3MiB live, 73.6MiB allocated
Counts
18 → 540
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 z t) (/.f64 t z)) (patch (/.f64 (/.f64 z t) (/.f64 t z)) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) #<representation binary64>) () ())
#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())
#s(alt (/.f64 t z) (patch (/.f64 t z) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x (*.f64 y y)) x) (patch (*.f64 (/.f64 x (*.f64 y y)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 z t) z) t) (patch (/.f64 (*.f64 (/.f64 z t) z) t) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 z t) z) (patch (*.f64 (/.f64 z t) z) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 x y) x) y) (patch (/.f64 (*.f64 (/.f64 x y) x) y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x y) x) (patch (*.f64 (/.f64 x y) x) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 t z) (/.f64 t z)) (patch (*.f64 (/.f64 t z) (/.f64 t z)) #<representation binary64>) () ())
Outputs
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (/.f64 z t) (/.f64 t z)) (patch (/.f64 (/.f64 z t) (/.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (/.f64 z t) (/.f64 t z)) (patch (/.f64 (/.f64 z t) (/.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (/.f64 z t) (/.f64 t z)) (patch (/.f64 (/.f64 z t) (/.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (/.f64 z t) (/.f64 t z)) (patch (/.f64 (/.f64 z t) (/.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt (/ t z) (taylor 0 t) (#s(alt (/.f64 t z) (patch (/.f64 t z) #<representation binary64>) () ())) ())
#s(alt (/ t z) (taylor 0 t) (#s(alt (/.f64 t z) (patch (/.f64 t z) #<representation binary64>) () ())) ())
#s(alt (/ t z) (taylor 0 t) (#s(alt (/.f64 t z) (patch (/.f64 t z) #<representation binary64>) () ())) ())
#s(alt (/ t z) (taylor 0 t) (#s(alt (/.f64 t z) (patch (/.f64 t z) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 z t) z) t) (patch (/.f64 (*.f64 (/.f64 z t) z) t) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 z t) z) t) (patch (/.f64 (*.f64 (/.f64 z t) z) t) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 z t) z) t) (patch (/.f64 (*.f64 (/.f64 z t) z) t) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 z t) z) t) (patch (/.f64 (*.f64 (/.f64 z t) z) t) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) z) (patch (*.f64 (/.f64 z t) z) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) z) (patch (*.f64 (/.f64 z t) z) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) z) (patch (*.f64 (/.f64 z t) z) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) z) (patch (*.f64 (/.f64 z t) z) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) #<representation binary64>) () ())) ())
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#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) x) (patch (*.f64 (/.f64 x (*.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) x) (patch (*.f64 (/.f64 x (*.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) x) (patch (*.f64 (/.f64 x (*.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) x) (patch (*.f64 (/.f64 x (*.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x y) x) y) (patch (/.f64 (*.f64 (/.f64 x y) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x y) x) y) (patch (/.f64 (*.f64 (/.f64 x y) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x y) x) y) (patch (/.f64 (*.f64 (/.f64 x y) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x y) x) y) (patch (/.f64 (*.f64 (/.f64 x y) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) x) (patch (*.f64 (/.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) x) (patch (*.f64 (/.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) x) (patch (*.f64 (/.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) x) (patch (*.f64 (/.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
4.0ms
y
@inf
((/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z t) (/ t z) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/ x (* y y)) (* y y) (* (/ x (* y y)) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ z t) z) t) (* (/ z t) z) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (/ 1 (* (/ t z) (/ t z))) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ t z) (/ t z)))
3.0ms
z
@0
((/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z t) (/ t z) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/ x (* y y)) (* y y) (* (/ x (* y y)) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ z t) z) t) (* (/ z t) z) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (/ 1 (* (/ t z) (/ t z))) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ t z) (/ t z)))
2.0ms
x
@-inf
((/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z t) (/ t z) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/ x (* y y)) (* y y) (* (/ x (* y y)) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ z t) z) t) (* (/ z t) z) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (/ 1 (* (/ t z) (/ t z))) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ t z) (/ t z)))
2.0ms
t
@-inf
((/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z t) (/ t z) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/ x (* y y)) (* y y) (* (/ x (* y y)) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ z t) z) t) (* (/ z t) z) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (/ 1 (* (/ t z) (/ t z))) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ t z) (/ t z)))
2.0ms
z
@-inf
((/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z t) (/ t z) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/ x (* y y)) (* y y) (* (/ x (* y y)) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ z t) z) t) (* (/ z t) z) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (/ 1 (* (/ t z) (/ t z))) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ t z) (/ t z)))

simplify226.0ms (2.5%)

Memory
19.2MiB live, 200.5MiB allocated
Algorithm
egg-herbie
Rules
8 838×lower-fma.f64
8 838×lower-fma.f32
5 934×lower-*.f64
5 934×lower-*.f32
1 826×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0364860
1674860
22024860
38524860
428924860
540104860
663564860
778474860
081514680
Stop Event
iter limit
node limit
Counts
540 → 540
Calls
Call 1
Inputs
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
Outputs
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ z t)
(/.f64 z t)
(/ z t)
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(/ z t)
(/.f64 z t)
(/ z t)
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(/ t z)
(/.f64 t z)
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(/ t z)
(/.f64 t z)
(/ t z)
(/.f64 t z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) t)
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(/ (pow z 2) t)
(*.f64 (/.f64 z t) z)
(/ (pow z 2) t)
(*.f64 (/.f64 z t) z)
(/ (pow z 2) t)
(*.f64 (/.f64 z t) z)
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (pow t 2) (pow z 2))
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(/ (pow t 2) (pow z 2))
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(/ (pow t 2) (pow z 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow x 2) (pow y 2))
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(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(/ z t)
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(/ z t)
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(/ t z)
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(/ t z)
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(/ t z)
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(/ t z)
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(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(*.f64 (/.f64 x y) (/.f64 x y))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y)))

rewrite183.0ms (2%)

Memory
-4.2MiB live, 215.6MiB allocated
Rules
5 330×lower-/.f32
5 314×lower-/.f64
3 226×lower-fma.f64
3 226×lower-fma.f32
3 212×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034188
047182
1169142
22478142
08386142
Stop Event
iter limit
node limit
iter limit
Counts
18 → 679
Calls
Call 1
Inputs
(/.f64 (/.f64 z t) (/.f64 t z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
(/.f64 z t)
(/.f64 t z)
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x))
(/.f64 x (*.f64 y y))
(*.f64 y y)
(*.f64 (/.f64 x (*.f64 y y)) x)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
(/.f64 (*.f64 (/.f64 z t) z) t)
(*.f64 (/.f64 z t) z)
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y))
(/.f64 (*.f64 (/.f64 x y) x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z))))
(*.f64 (/.f64 t z) (/.f64 t z))
Outputs
(*.f64 (pow.f64 (/.f64 (/.f64 t z) (neg.f64 z)) #s(literal -1 binary64)) (pow.f64 (neg.f64 t) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (neg.f64 t) #s(literal -2 binary64)))
(*.f64 (pow.f64 (neg.f64 t) #s(literal -2 binary64)) (pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 t #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 z z))
(*.f64 (/.f64 (/.f64 z t) (neg.f64 t)) (neg.f64 z))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 t #s(literal -2 binary64)))) z)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z t) z)) (pow.f64 t #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z)) (pow.f64 t #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 z (pow.f64 t #s(literal -2 binary64))))
(*.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))) z)
(*.f64 (pow.f64 t #s(literal -2 binary64)) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -2 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 z z))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 z t)) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (/.f64 z t) z))
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (*.f64 (neg.f64 t) t) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (pow.f64 (neg.f64 t) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 z) t) (/.f64 (neg.f64 z) t))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 t z) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t z) #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 z t) z) (pow.f64 t #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 z z) (pow.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 z z) (pow.f64 t #s(literal -2 binary64)))
(*.f64 (/.f64 z t) (/.f64 z t))
(*.f64 z (/.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 t z)))
(*.f64 z (*.f64 z (pow.f64 t #s(literal -2 binary64))))
(pow.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 t z) #s(literal 4 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (neg.f64 z) t) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 t z) #s(literal -2 binary64))
(pow.f64 (/.f64 z t) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 z) z))) (neg.f64 (neg.f64 (*.f64 (neg.f64 t) t))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 z) (/.f64 z t)))) (neg.f64 (neg.f64 (neg.f64 t))))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 t) (/.f64 t z))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z))) (neg.f64 (*.f64 (/.f64 t z) (neg.f64 t))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z))) (neg.f64 (*.f64 (neg.f64 t) t)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 z t)))) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) t))) (/.f64 t z))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z t) z))) (neg.f64 t))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) (neg.f64 t))
(/.f64 (neg.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64))) (*.f64 (neg.f64 t) t))
(/.f64 (neg.f64 (*.f64 (/.f64 z t) #s(literal 1 binary64))) (/.f64 (neg.f64 t) z))
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 t z) t)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 (/.f64 t z) t)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 (neg.f64 t) t))
(/.f64 (neg.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64)))) (neg.f64 (pow.f64 z #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) z)) (neg.f64 (*.f64 (neg.f64 t) t)))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (/.f64 z t))) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 (*.f64 (/.f64 t z) t))))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (*.f64 (/.f64 t z) (neg.f64 t))))
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 t z) (neg.f64 t)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z)) (*.f64 (neg.f64 t) t))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 z t))) (neg.f64 t))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) t)) (/.f64 (neg.f64 t) z))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z t) z)) t)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 t t))
(/.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 t z) t))
(/.f64 (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) t)
(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (*.f64 t t))
(/.f64 (*.f64 (/.f64 z t) #s(literal 1 binary64)) (/.f64 t z))
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 (/.f64 t z) t))
(/.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 t) t))
(/.f64 (neg.f64 z) (neg.f64 (*.f64 (/.f64 t z) t)))
(/.f64 (neg.f64 z) (*.f64 (/.f64 t z) (neg.f64 t)))
(/.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (neg.f64 t))
(/.f64 (/.f64 (neg.f64 z) t) (/.f64 (neg.f64 t) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 t) (/.f64 t z)) (*.f64 (neg.f64 z) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 t z) (neg.f64 t)) (*.f64 #s(literal 1 binary64) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 z t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 t) z) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) t))))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z t) z))))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) (*.f64 (/.f64 z t) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 t z) t) (*.f64 z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z (pow.f64 t #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t z) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 z t) z) t)
(/.f64 (*.f64 z z) (*.f64 t t))
(/.f64 (/.f64 z t) (/.f64 t z))
(/.f64 z (*.f64 (/.f64 t z) t))
(neg.f64 (/.f64 (*.f64 (neg.f64 z) (/.f64 z t)) t))
(neg.f64 (/.f64 (*.f64 (/.f64 z t) z) (neg.f64 t)))
(neg.f64 (/.f64 (/.f64 (neg.f64 z) t) (/.f64 t z)))
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(pow.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 t z) #s(literal -2 binary64))
(pow.f64 (/.f64 z t) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 z) z))) (neg.f64 (neg.f64 (*.f64 (neg.f64 t) t))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 z) (/.f64 z t)))) (neg.f64 (neg.f64 (neg.f64 t))))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 t) (/.f64 t z))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z))) (neg.f64 (*.f64 (/.f64 t z) (neg.f64 t))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z))) (neg.f64 (*.f64 (neg.f64 t) t)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 z t)))) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) t))) (/.f64 t z))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z t) z))) (neg.f64 t))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) (neg.f64 t))
(/.f64 (neg.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64))) (*.f64 (neg.f64 t) t))
(/.f64 (neg.f64 (*.f64 (/.f64 z t) #s(literal 1 binary64))) (/.f64 (neg.f64 t) z))
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 t z) t)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 (/.f64 t z) t)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 (neg.f64 t) t))
(/.f64 (neg.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64)))) (neg.f64 (pow.f64 z #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) z)) (neg.f64 (*.f64 (neg.f64 t) t)))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (/.f64 z t))) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 (*.f64 (/.f64 t z) t))))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (*.f64 (/.f64 t z) (neg.f64 t))))
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 t z) (neg.f64 t)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z)) (*.f64 (neg.f64 t) t))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 z t))) (neg.f64 t))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) t)) (/.f64 (neg.f64 t) z))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z t) z)) t)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 t t))
(/.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 t z) t))
(/.f64 (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) t)
(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (*.f64 t t))
(/.f64 (*.f64 (/.f64 z t) #s(literal 1 binary64)) (/.f64 t z))
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 (/.f64 t z) t))
(/.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 t) t))
(/.f64 (neg.f64 z) (neg.f64 (*.f64 (/.f64 t z) t)))
(/.f64 (neg.f64 z) (*.f64 (/.f64 t z) (neg.f64 t)))
(/.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (neg.f64 t))
(/.f64 (/.f64 (neg.f64 z) t) (/.f64 (neg.f64 t) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 t) (/.f64 t z)) (*.f64 (neg.f64 z) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 t z) (neg.f64 t)) (*.f64 #s(literal 1 binary64) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 z t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 t) z) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) t))))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z t) z))))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) (*.f64 (/.f64 z t) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 t z) t) (*.f64 z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z (pow.f64 t #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t z) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 z t) z) t)
(/.f64 (*.f64 z z) (*.f64 t t))
(/.f64 (/.f64 z t) (/.f64 t z))
(/.f64 z (*.f64 (/.f64 t z) t))
(neg.f64 (/.f64 (*.f64 (neg.f64 z) (/.f64 z t)) t))
(neg.f64 (/.f64 (*.f64 (/.f64 z t) z) (neg.f64 t)))
(neg.f64 (/.f64 (/.f64 (neg.f64 z) t) (/.f64 t z)))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 t z) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (/.f64 t z) t))) (/.f64 z (neg.f64 (*.f64 (/.f64 t z) t))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 t z) (neg.f64 t))) (/.f64 z (*.f64 (/.f64 t z) (neg.f64 t))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 t) z)) (/.f64 (/.f64 (neg.f64 z) t) (/.f64 t z)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) t)) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 t z) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (*.f64 (/.f64 z t) z) (neg.f64 t)))
(exp.f64 (-.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 t) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 t z)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 z t)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (pow.f64 (/.f64 t z) #s(literal -2 binary64)))
(*.f64 (exp.f64 (log.f64 (/.f64 t z))) (exp.f64 (log.f64 (/.f64 t z))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 t t))
(*.f64 (/.f64 (/.f64 t z) (neg.f64 z)) (neg.f64 t))
(*.f64 (/.f64 (/.f64 t z) z) t)
(*.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 t t))
(*.f64 (*.f64 (/.f64 t z) t) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 t) z) (/.f64 (neg.f64 t) z))
(*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t z) #s(literal 2 binary64)))
(*.f64 (*.f64 t t) (pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 t t) (pow.f64 z #s(literal -2 binary64)))
(*.f64 (/.f64 t z) (/.f64 t z))
(*.f64 t (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 z t)))
(*.f64 t (/.f64 (/.f64 t z) z))
(pow.f64 (exp.f64 (log.f64 (/.f64 t z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (neg.f64 t) z) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 t z) #s(literal 2 binary64))
(pow.f64 (/.f64 z t) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 t z) z)) (neg.f64 (pow.f64 t #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 t z) t))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (neg.f64 t) (/.f64 t z))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (/.f64 t z) (neg.f64 t))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (neg.f64 t) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 z) (/.f64 z t))))
(/.f64 (neg.f64 (*.f64 t #s(literal 1 binary64))) (*.f64 (neg.f64 z) (/.f64 z t)))
(/.f64 (neg.f64 (*.f64 (/.f64 t z) #s(literal 1 binary64))) (/.f64 (neg.f64 z) t))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 t))) (neg.f64 (*.f64 (neg.f64 z) (/.f64 z t))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) t)) (*.f64 (neg.f64 z) (/.f64 z t)))
(/.f64 (/.f64 (/.f64 t z) z) (pow.f64 t #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 t) t)) (neg.f64 (*.f64 (neg.f64 z) z)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 t z) t)) (neg.f64 (*.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (*.f64 (/.f64 t z) t)) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 t)) (neg.f64 (*.f64 (neg.f64 z) (/.f64 z t))))
(/.f64 (*.f64 (neg.f64 t) (/.f64 t z)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 t z) (neg.f64 t)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 t) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (/.f64 z t)))
(/.f64 (*.f64 t #s(literal 1 binary64)) (*.f64 (/.f64 z t) z))
(/.f64 (*.f64 (/.f64 t z) #s(literal 1 binary64)) (/.f64 z t))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 t)) (*.f64 (neg.f64 z) (/.f64 z t)))
(/.f64 (*.f64 #s(literal 1 binary64) t) (*.f64 (/.f64 z t) z))
(/.f64 (*.f64 (/.f64 t z) t) (*.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (/.f64 t z) t) z)
(/.f64 (*.f64 (neg.f64 t) t) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 z) z))
(/.f64 (neg.f64 t) (*.f64 (neg.f64 z) (/.f64 z t)))
(/.f64 (/.f64 (neg.f64 t) z) (/.f64 (neg.f64 z) t))
(/.f64 (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64))))
(/.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (/.f64 t z) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 (neg.f64 t) (/.f64 t z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (*.f64 (neg.f64 t) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z t) z) (*.f64 t #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z t) (*.f64 (/.f64 t z) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (*.f64 #s(literal 1 binary64) (neg.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z t) z) (*.f64 #s(literal 1 binary64) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t z) #s(literal -2 binary64)))
(/.f64 (*.f64 t t) (*.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (*.f64 t t) (*.f64 z z))
(/.f64 (/.f64 t z) (/.f64 z t))
(/.f64 t (*.f64 (/.f64 z t) z))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)) (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (/.f64 z t))) (/.f64 t (*.f64 (neg.f64 z) (/.f64 z t))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) t)) (/.f64 (/.f64 t z) (/.f64 (neg.f64 z) t)))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 (log.f64 z) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64))))

eval159.0ms (1.8%)

Memory
7.8MiB live, 316.3MiB allocated
Compiler

Compiled 15 695 to 1 679 computations (89.3% saved)

prune53.0ms (0.6%)

Memory
10.2MiB live, 167.5MiB allocated
Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New1 38931 392
Fresh358
Picked145
Done134
Total1 394151 409
Accuracy
100.0%
Counts
1 409 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
58.3%
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))
61.3%
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
50.9%
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (/.f64 (*.f64 x x) y) y))
46.4%
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y)))
57.2%
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (*.f64 y (/.f64 y x))))
51.8%
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x))
57.1%
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y)))
58.3%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
63.2%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
62.6%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
56.7%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
61.3%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
62.9%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z))))
63.1%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
Compiler

Compiled 722 to 270 computations (62.6% saved)

regimes252.0ms (2.8%)

Memory
-38.9MiB live, 226.9MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (*.f64 y (/.f64 y x))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (/.f64 (*.f64 y y) x)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (/.f64 (*.f64 x x) y) y))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y x))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
(+.f64 (/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y (/.f64 y x))) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t)))
(/.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) t (*.f64 (*.f64 y z) z)) (*.f64 (*.f64 y t) t))
(/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x))) (*.f64 t (*.f64 y y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)))
(/.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 x (/.f64 x y)))) (*.f64 t y))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x)))) (*.f64 (*.f64 t (neg.f64 y)) y))
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 z (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))
Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
Calls

11 calls:

43.0ms
(*.f64 y y)
42.0ms
(*.f64 z z)
33.0ms
z
30.0ms
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
29.0ms
y
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1z
99.7%1t
99.7%1(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
99.7%1(/.f64 (*.f64 x x) (*.f64 y y))
99.7%1(*.f64 x x)
99.7%1(*.f64 y y)
99.7%1(/.f64 (*.f64 z z) (*.f64 t t))
99.7%1(*.f64 z z)
99.7%1(*.f64 t t)
Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes204.0ms (2.3%)

Memory
12.9MiB live, 122.2MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (*.f64 y (/.f64 y x))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (/.f64 (*.f64 y y) x)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (/.f64 (*.f64 x x) y) y))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y x))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
Calls

11 calls:

53.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
49.0ms
z
36.0ms
(*.f64 x x)
9.0ms
y
9.0ms
x
Results
AccuracySegmentsBranch
98.2%1x
98.2%1y
98.2%1z
98.2%1t
98.2%1(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
98.2%1(/.f64 (*.f64 x x) (*.f64 y y))
98.2%1(*.f64 x x)
98.2%1(*.f64 y y)
98.2%1(/.f64 (*.f64 z z) (*.f64 t t))
98.2%1(*.f64 z z)
98.2%1(*.f64 t t)
Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes116.0ms (1.3%)

Memory
9.8MiB live, 131.6MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (*.f64 y (/.f64 y x))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (/.f64 (*.f64 y y) x)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (/.f64 (*.f64 x x) y) y))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y x))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
Outputs
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
Calls

11 calls:

24.0ms
(*.f64 z z)
18.0ms
z
11.0ms
(*.f64 x x)
8.0ms
y
8.0ms
t
Results
AccuracySegmentsBranch
87.0%2x
90.2%3y
92.1%3z
91.4%3t
87.7%2(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
91.8%3(/.f64 (*.f64 x x) (*.f64 y y))
85.2%1(*.f64 x x)
89.4%3(*.f64 y y)
93.2%2(/.f64 (*.f64 z z) (*.f64 t t))
91.8%3(*.f64 z z)
91.4%3(*.f64 t t)
Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes36.0ms (0.4%)

Memory
-26.9MiB live, 11.3MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (*.f64 y (/.f64 y x))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (/.f64 (*.f64 y y) x)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (/.f64 (*.f64 x x) y) y))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y x))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z)))
Outputs
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
Calls

1 calls:

35.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
Results
AccuracySegmentsBranch
91.0%2(/.f64 (*.f64 z z) (*.f64 t t))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes89.0ms (1%)

Memory
13.9MiB live, 100.7MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (*.f64 y (/.f64 y x))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (/.f64 (*.f64 y y) x)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (/.f64 (*.f64 x x) y) y))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y x))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
Calls

11 calls:

20.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
9.0ms
(*.f64 y y)
7.0ms
t
7.0ms
y
7.0ms
x
Results
AccuracySegmentsBranch
83.8%3(*.f64 x x)
83.8%3x
84.4%3(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
81.5%3(*.f64 y y)
81.5%3y
84.7%3(*.f64 t t)
84.7%3t
83.8%3(*.f64 z z)
87.2%3(/.f64 (*.f64 x x) (*.f64 y y))
84.2%3z
88.1%3(/.f64 (*.f64 z z) (*.f64 t t))
Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes7.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (*.f64 y (/.f64 y x))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (/.f64 (*.f64 y y) x)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (/.f64 (*.f64 x x) y) y))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y x))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64)))))
Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
Calls

1 calls:

6.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
Results
AccuracySegmentsBranch
85.7%2(/.f64 (*.f64 z z) (*.f64 t t))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes55.0ms (0.6%)

Memory
-24.1MiB live, 13.2MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (*.f64 y (/.f64 y x))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (/.f64 (*.f64 y y) x)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (/.f64 (*.f64 x x) y) y))
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
Calls

2 calls:

5.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
4.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
Results
AccuracySegmentsBranch
84.0%2(/.f64 (*.f64 x x) (*.f64 y y))
85.6%2(/.f64 (*.f64 z z) (*.f64 t t))
Compiler

Compiled 14 to 14 computations (0% saved)

regimes3.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
Calls

1 calls:

3.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
Results
AccuracySegmentsBranch
84.5%2(/.f64 (*.f64 z z) (*.f64 t t))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes64.0ms (0.7%)

Memory
-2.5MiB live, 34.7MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
Calls

9 calls:

48.0ms
(*.f64 z z)
2.0ms
z
2.0ms
t
2.0ms
x
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
74.8%2x
74.8%2(*.f64 x x)
72.0%2(*.f64 z z)
72.0%2z
65.1%2(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
76.7%2t
76.7%2(*.f64 t t)
83.3%3(/.f64 (*.f64 x x) (*.f64 y y))
80.0%2(/.f64 (*.f64 z z) (*.f64 t t))
Compiler

Compiled 41 to 52 computations (-26.8% saved)

regimes7.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y)))
Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x))
Calls

4 calls:

2.0ms
y
2.0ms
(*.f64 y y)
2.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
2.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
Results
AccuracySegmentsBranch
69.2%2y
69.2%2(*.f64 y y)
79.5%3(/.f64 (*.f64 z z) (*.f64 t t))
75.3%3(/.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 18 to 23 computations (-27.8% saved)

regimes50.0ms (0.6%)

Memory
-19.3MiB live, 21.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
Calls

11 calls:

37.0ms
x
1.0ms
y
1.0ms
z
1.0ms
t
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
56.7%1(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
56.7%1y
56.7%1(*.f64 y y)
56.7%1z
56.7%1(*.f64 z z)
56.7%1(/.f64 (*.f64 x x) (*.f64 y y))
56.7%1x
56.7%1(*.f64 x x)
56.7%1t
56.7%1(*.f64 t t)
56.7%1(/.f64 (*.f64 z z) (*.f64 t t))
Compiler

Compiled 45 to 61 computations (-35.6% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1362354277110011e+167
8.051192336463889e+170
0.0ms
1.2415851906778938e-198
3.785756309446613e-192
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9356327977531177e-146
8.239519172099334e-131
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9356327977531177e-146
8.239519172099334e-131
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9356327977531177e-146
8.239519172099334e-131
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.205631388583136e-32
4.974967182481031e-29
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch41.0ms (0.5%)

Memory
-6.0MiB live, 32.4MiB allocated
Algorithm
binary-search
Stop Event
predicate-failed
narrow-enough
Steps
TimeLeftRight
8.0ms
+inf
NaN
12.0ms
3.785756309446613e-192
1.1777342348987015e-183
Samples
7.0ms144×0valid
5.0ms101×0invalid
Compiler

Compiled 108 to 153 computations (-41.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (50.6% of total)
ival-div: 1.0ms (16.9% of total)
ival-add: 1.0ms (16.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify53.0ms (0.6%)

Memory
17.7MiB live, 55.1MiB allocated
Algorithm
egg-herbie
Rules
*-commutative-binary64-*.f64
+-commutative-binary64-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069582
175582
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 2693189581592767/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 200000000000000007721798857483902880558804102982700877908847659137154782032985485340394783509086340687111501805726310060782654579073417017646333594747261264801453572096 binary64)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 8997827589086393/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 8997827589086393/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 8997827589086393/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 7307508186654515/365375409332725729550921208179070754913983135744 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 5740878879676573/76545051729020975577310162521900618820659871603466655644272117978380005723696097587725184512638784526308634214455061267843403507870735540391292521535824647434568377082591826884769598224146796816367616 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) (+.f64 (/.f64 (*.f64 z z) (*.f64 t t)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 (*.f64 (/.f64 z t) z) t) (/.f64 (*.f64 x x) (*.f64 y y))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) (+.f64 (/.f64 (*.f64 z z) (*.f64 t t)) (*.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 2693189581592767/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 200000000000000007721798857483902880558804102982700877908847659137154782032985485340394783509086340687111501805726310060782654579073417017646333594747261264801453572096 binary64)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 8997827589086393/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 8997827589086393/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 8997827589086393/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 7307508186654515/365375409332725729550921208179070754913983135744 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 5740878879676573/76545051729020975577310162521900618820659871603466655644272117978380005723696097587725184512638784526308634214455061267843403507870735540391292521535824647434568377082591826884769598224146796816367616 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))

soundness1.3s (14.5%)

Memory
-7.4MiB live, 914.0MiB allocated
Rules
9 376×lower-fma.f64
9 376×lower-fma.f32
9 024×lower-fma.f64
9 024×lower-fma.f32
7 418×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0291128
1601128
21921128
38231128
428531128
539731128
662621128
777561128
080601092
037172
057131
1216129
22329129
08562129
01141
01841
16933
281333
0837733
0385124
1755124
22195124
38765124
429205124
542005124
673725124
081574944
035184
051137
1205135
22141135
08615135
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 826 to 378 computations (54.2% saved)

preprocess71.0ms (0.8%)

Memory
14.5MiB live, 250.6MiB allocated
Remove

(abs x)

(abs y)

(abs z)

(abs t)

Compiler

Compiled 818 to 222 computations (72.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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