Statistics.Distribution.CauchyLorentz:$cdensity from math-functions-0.1.5.2

Time bar (total: 10.4s)

analyze60.0ms (0.6%)

Memory
-28.6MiB live, 92.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
56.3%56.2%43.7%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
65.6%65.5%34.3%0.1%0%0%0%8
76.6%76.5%23.4%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
82%81.9%17.9%0.1%0%0%0%11
87.9%87.8%12.1%0.1%0%0%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.2s (11.2%)

Memory
32.0MiB live, 1 211.3MiB allocated
Samples
559.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 323.0ms
ival-div: 144.0ms (44.6% of total)
ival-mult: 111.0ms (34.4% of total)
ival-add: 54.0ms (16.7% of total)
ival-true: 6.0ms (1.9% of total)
exact: 5.0ms (1.6% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

preprocess335.0ms (3.2%)

Memory
-8.4MiB live, 66.2MiB allocated
Algorithm
egg-herbie
Rules
1 390×unsub-neg
1 032×distribute-lft-in
930×distribute-rgt-in
594×div-sub
550×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034102
112999
233999
3113999
4266599
5419999
6505999
7530799
8541999
9543299
10593399
11623799
12627099
13628699
14629099
15629099
16629099
17629099
18635099
19637499
20637499
21655099
22711899
23714499
24714899
25714899
0911
01411
12811
24611
310111
415311
520211
020210
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
Symmetry

(abs z)

(negabs y)

(negabs x)

(sort x y)

explain168.0ms (1.6%)

Memory
-22.9MiB live, 240.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
230-0-(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
50-0-(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-z
00-0-(+.f64 #s(literal 1 binary64) (*.f64 z z))
00-0-(*.f64 z z)
00-0-y
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))n/o230
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))overflow82
(+.f64 #s(literal 1 binary64) (*.f64 z z))overflow55
(*.f64 z z)overflow55
*.f64(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))n*o50
Confusion
Predicted +Predicted -
+280
-0228
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2800
-00228
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0228
128
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
66.0ms512×0valid
Compiler

Compiled 98 to 40 computations (59.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 40.0ms (79.8% of total)
ival-div: 7.0ms (14% of total)
ival-add: 2.0ms (4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify9.0ms (0.1%)

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

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 z z))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Rules
142×lower-*.f32
138×lower-*.f64
72×associate-*r*
70×lower-fma.f64
70×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0933
01433
12833
24633
310133
415333
520233
020230
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
y
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 z z)
z
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(fma.f64 y (*.f64 z z) y)
y
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(fma.f64 z z #s(literal 1 binary64))
(*.f64 z z)
z

localize27.0ms (0.3%)

Memory
8.0MiB live, 46.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z z)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 z z))
accuracy98.1%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
accuracy91.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Samples
18.0ms256×0valid
Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (36.6% of total)
ival-mult: 3.0ms (36.6% of total)
ival-add: 1.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
25.9MiB live, 25.9MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())
Outputs
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (pow z 2)))) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (pow z 2)))) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor 0 y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor 0 y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor 0 y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor 0 y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor -inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor -inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor -inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor -inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.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) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
Calls

24 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/ (/ 1 x) (* y (+ 1 (* z z))))
1.0ms
z
@0
(/ (/ 1 x) (* y (+ 1 (* z z))))
1.0ms
y
@0
(/ (/ 1 x) (* y (+ 1 (* z z))))
1.0ms
x
@-inf
(/ (/ 1 x) (* y (+ 1 (* z z))))
1.0ms
y
@inf
(/ (/ 1 x) (* y (+ 1 (* z z))))

simplify471.0ms (4.5%)

Memory
0.2MiB live, 811.7MiB allocated
Algorithm
egg-herbie
Rules
18 180×lower-fma.f64
18 180×lower-fma.f32
3 734×lower-*.f64
3 734×lower-*.f32
2 644×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052814
1135812
2389807
31483790
43946754
57664754
08189693
Stop Event
iter limit
node limit
Counts
96 → 95
Calls
Call 1
Inputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
1
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
y
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
Outputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(*.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))) (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal 1 binary64)))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 z z)))))) (fma.f64 z z #s(literal -1 binary64)))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 z z)))))) (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 z z)))))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (*.f64 z z))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 z z)))))) (fma.f64 z z #s(literal -1 binary64)))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 z z)))))) (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 z z)))))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (*.f64 z z))
1
#s(literal 1 binary64)
(+ 1 (pow z 2))
(fma.f64 z z #s(literal 1 binary64))
(+ 1 (pow z 2))
(fma.f64 z z #s(literal 1 binary64))
(+ 1 (pow z 2))
(fma.f64 z z #s(literal 1 binary64))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* y (+ 1 (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(* y (+ 1 (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(* y (+ 1 (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(* y (+ 1 (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(* y (+ 1 (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(* y (+ 1 (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(* y (+ 1 (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(* y (+ 1 (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(* y (+ 1 (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(* y (+ 1 (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(* y (+ 1 (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(* y (+ 1 (pow z 2)))
(fma.f64 y (*.f64 z z) y)
y
(+ y (* y (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(+ y (* y (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(+ y (* y (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* (pow z 2) (+ y (/ y (pow z 2))))
(fma.f64 y (*.f64 z z) y)
(* (pow z 2) (+ y (/ y (pow z 2))))
(fma.f64 y (*.f64 z z) y)
(* (pow z 2) (+ y (/ y (pow z 2))))
(fma.f64 y (*.f64 z z) y)
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* (pow z 2) (+ y (/ y (pow z 2))))
(fma.f64 y (*.f64 z z) y)
(* (pow z 2) (+ y (/ y (pow z 2))))
(fma.f64 y (*.f64 z z) y)
(* (pow z 2) (+ y (/ y (pow z 2))))
(fma.f64 y (*.f64 z z) y)
(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)
(*.f64 z z)
(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)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)

rewrite376.0ms (3.6%)

Memory
9.1MiB live, 607.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 616×lower-/.f32
4 612×lower-/.f64
4 020×lower-*.f32
4 016×lower-*.f64
3 572×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
01429
15829
236029
3275829
0907826
Stop Event
iter limit
node limit
iter limit
Counts
5 → 437
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(/.f64 #s(literal 1 binary64) x)
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 z z)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y))) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y))) (neg.f64 (*.f64 z z))))
(+.f64 (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 y (*.f64 z z) y))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 (fma.f64 y (*.f64 z z) y)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 y (*.f64 z z) y)) #s(literal -1 binary64) (neg.f64 (log.f64 x))))
(exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 z z) y)) #s(literal -1 binary64)) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z z) y)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z z) y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z (neg.f64 z) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))))
(-.f64 (/.f64 (/.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (*.f64 x y)) (/.f64 (/.f64 (*.f64 z z) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (*.f64 x y)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 x y)) (/.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y))) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y)))))
(fma.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y))) (neg.f64 (*.f64 z z))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (fma.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (-.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y)))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y)))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))) (fma.f64 (*.f64 z (*.f64 z (*.f64 z z))) (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y)))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))) (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 z z) y)) x))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (*.f64 z z) y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (fma.f64 y (*.f64 z z) y))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (fma.f64 z (neg.f64 z) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 z z) y)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))) (*.f64 y (neg.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 y (neg.f64 x)))
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(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y (*.f64 y (*.f64 z z)))) (*.f64 (-.f64 y (*.f64 y (*.f64 z z))) (*.f64 (*.f64 z z) (*.f64 y (*.f64 y (*.f64 z z)))))) (*.f64 (-.f64 y (*.f64 y (*.f64 z z))) (-.f64 y (*.f64 y (*.f64 z z)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z (*.f64 z z))) (neg.f64 (*.f64 z z)) #s(literal -1 binary64)) y)) (neg.f64 (neg.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) y)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) y)) (neg.f64 (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 y y (*.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y))) (fma.f64 y (*.f64 z z) y)))) (neg.f64 (neg.f64 (fma.f64 y y (*.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 z z) y) (-.f64 y (*.f64 y (*.f64 z z)))))) (neg.f64 (neg.f64 (-.f64 y (*.f64 y (*.f64 z z))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 y (*.f64 z z)) y)))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 z (*.f64 z (*.f64 z z))) (neg.f64 (*.f64 z z)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 z z)))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (-.f64 (*.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 z z)))) (neg.f64 (neg.f64 (*.f64 y (*.f64 z z))))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (*.f64 y (*.f64 z z))))))))
(pow.f64 (fma.f64 y (*.f64 z z) y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y y (*.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y))) (*.f64 (fma.f64 y y (*.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y))) (fma.f64 y (*.f64 z z) y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 y (*.f64 y (*.f64 z z))) (*.f64 (fma.f64 y (*.f64 z z) y) (-.f64 y (*.f64 y (*.f64 z z))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 y (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 (neg.f64 y)))
(*.f64 (fma.f64 y (*.f64 z z) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64))) y))
(*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (/.f64 y (fma.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))) y))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (fma.f64 z (neg.f64 z) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (neg.f64 y) (fma.f64 z (neg.f64 z) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 y y (*.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y))) (fma.f64 y (*.f64 z z) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y)))))
(*.f64 (*.f64 (fma.f64 y (*.f64 z z) y) (-.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y (*.f64 z z)))))
(*.f64 (*.f64 y (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (neg.f64 (neg.f64 y)) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (fma.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (*.f64 (*.f64 z z) (*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))))) #s(literal 1 binary64))) (fma.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (-.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))))))
(*.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (fma.f64 z (fma.f64 z (*.f64 z z) z) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 z z)))
(exp.f64 (*.f64 (log.f64 (*.f64 z z)) #s(literal 1 binary64)))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 z))
(*.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 z z)
(*.f64 (*.f64 z z) #s(literal 1 binary64))

eval105.0ms (1%)

Memory
14.9MiB live, 128.9MiB allocated
Compiler

Compiled 15 307 to 1 509 computations (90.1% saved)

prune87.0ms (0.8%)

Memory
13.7MiB live, 211.7MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New51814532
Fresh000
Picked101
Done000
Total51914533
Accuracy
95.6%
Counts
533 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.3%
(pow.f64 (pow.f64 (*.f64 x (fma.f64 y (*.f64 z z) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
93.4%
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
92.0%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
89.6%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x)
93.4%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
93.5%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
91.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
43.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (fma.f64 y (*.f64 z z) y) (-.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y (*.f64 z z))))))
50.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
60.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))))
89.6%
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
54.1%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))))
50.9%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))))
60.4%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 394 to 236 computations (40.1% saved)

simplify297.0ms (2.9%)

Memory
-24.8MiB live, 13.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(fma.f64 z z #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
cost-diff0
(*.f64 y z)
cost-diff0
(fma.f64 (*.f64 y z) z y)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
cost-diff0
(*.f64 z z)
cost-diff0
(fma.f64 y (*.f64 z z) y)
cost-diff0
(*.f64 x (fma.f64 y (*.f64 z z) y))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x y))
cost-diff0
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
cost-diff0
(fma.f64 z z #s(literal 1 binary64))
cost-diff0
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
Rules
142×lower-*.f32
132×lower-*.f64
70×lower-fma.f32
64×lower-fma.f64
62×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026139
044138
188138
2131138
3208138
4208138
0208138
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
x
(fma.f64 z z #s(literal 1 binary64))
z
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
#s(literal 1 binary64)
(*.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
#s(literal 1 binary64)
(*.f64 x (fma.f64 y (*.f64 z z) y))
x
(fma.f64 y (*.f64 z z) y)
y
(*.f64 z z)
z
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (*.f64 y z) z y)
(*.f64 y z)
y
z
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 z z #s(literal 1 binary64))
z
(*.f64 x y)
x
y
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(fma.f64 x (*.f64 z z) x)
x
(fma.f64 z z #s(literal 1 binary64))
z
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 x y)
(*.f64 y x)
x
y
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
#s(literal 1 binary64)
(*.f64 x (fma.f64 y (*.f64 z z) y))
x
(fma.f64 y (*.f64 z z) y)
y
(*.f64 z z)
z
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (*.f64 y z) z y)
(fma.f64 y (*.f64 z z) y)
(*.f64 y z)
y
z
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 z z #s(literal 1 binary64))
z
(*.f64 x y)
(*.f64 y x)
x
y

localize83.0ms (0.8%)

Memory
4.5MiB live, 137.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 z z #s(literal 1 binary64))
accuracy100.0%
(*.f64 x y)
accuracy99.5%
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
accuracy92.2%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 y z)
accuracy99.9%
(fma.f64 (*.f64 y z) z y)
accuracy91.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
accuracy100.0%
(*.f64 z z)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
accuracy98.2%
(fma.f64 y (*.f64 z z) y)
accuracy91.8%
(*.f64 x (fma.f64 y (*.f64 z z) y))
accuracy100.0%
(*.f64 x y)
accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy60.3%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
accuracy100.0%
(fma.f64 z z #s(literal 1 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.1%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
accuracy92.6%
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
Samples
56.0ms256×0valid
Compiler

Compiled 146 to 27 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 13.0ms (43.8% of total)
ival-mult: 11.0ms (37% of total)
ival-add: 5.0ms (16.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory
-14.7MiB live, 61.8MiB allocated
Counts
17 → 420
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 z z #s(literal 1 binary64)) (patch (fma.f64 z z #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 y (*.f64 z z) y)) (patch (*.f64 x (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())
#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y z) z y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (pow z 2)))) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (pow z 2)))) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
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#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (pow z 2))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow z 2))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (pow z 2))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (pow z 2) (taylor inf z) (#s(alt (fma.f64 z z #s(literal 1 binary64)) (patch (fma.f64 z z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 z z #s(literal 1 binary64)) (patch (fma.f64 z z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (pow z 2)))) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (pow z 2)))) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow z 2))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow z 2) (- (pow z 2) 1))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow z 2) (- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow z 2)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ 1 (pow z 2))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow z 2)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ 1 (pow z 2))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
Calls

105 calls:

TimeVariablePointExpression
3.0ms
y
@0
(/ 1 (* x y))
1.0ms
x
@0
(/ 1 (* x (+ (* y (* z z)) y)))
1.0ms
y
@-inf
(/ 1 (* x (+ (* y (* z z)) y)))
1.0ms
y
@inf
(/ 1 (* x (+ (* y (* z z)) y)))
1.0ms
y
@0
(/ 1 (* x (+ (* y (* z z)) y)))

simplify286.0ms (2.7%)

Memory
29.8MiB live, 383.7MiB allocated
Algorithm
egg-herbie
Rules
6 468×lower-fma.f64
6 468×lower-fma.f32
3 100×lower-*.f64
3 100×lower-*.f32
2 468×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914020
12494008
26743964
325843880
466273880
080783649
Stop Event
iter limit
node limit
Counts
420 → 417
Calls
Call 1
Inputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
x
(+ x (* x (pow z 2)))
(+ x (* x (pow z 2)))
(+ x (* x (pow z 2)))
(* x (pow z 2))
(* (pow z 2) (+ x (/ x (pow z 2))))
(* (pow z 2) (+ x (/ x (pow z 2))))
(* (pow z 2) (+ x (/ x (pow z 2))))
(* x (pow z 2))
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Outputs
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(/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 z z)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64))) (*.f64 z z))

rewrite493.0ms (4.7%)

Memory
-34.1MiB live, 693.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 766×lower-*.f32
5 756×lower-*.f64
5 424×lower-fma.f32
5 418×lower-fma.f64
4 808×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026113
044112
1194112
21115112
08410112
Stop Event
iter limit
node limit
iter limit
Counts
17 → 2 304
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) y)
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(fma.f64 z z #s(literal 1 binary64))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 x y)
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(*.f64 x (fma.f64 y (*.f64 z z) y))
(fma.f64 y (*.f64 z z) y)
(*.f64 z z)
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 #s(literal 1 binary64) x)
(fma.f64 (*.f64 y z) z y)
(*.f64 y z)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x)) (*.f64 y (*.f64 y (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x)) (*.f64 y (-.f64 y (*.f64 y (*.f64 z z))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x)) (*.f64 y (-.f64 y (*.f64 y (*.f64 z z))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x)) (*.f64 y (*.f64 y (*.f64 z (*.f64 z (*.f64 z z)))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) x)) (*.f64 y (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) x)) (neg.f64 y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (*.f64 z (*.f64 z (*.f64 z z)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (*.f64 y x))) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (*.f64 y x))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 y x))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 y x))) (neg.f64 (*.f64 z z))))
(+.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x))) (*.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x))))
(+.f64 (*.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x))) (*.f64 (*.f64 y (*.f64 y (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x))))
(+.f64 (*.f64 (*.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) x))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) x))))
(+.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x)))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x)))) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x)))) (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x)))))
(+.f64 (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x)))))
(+.f64 (*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (*.f64 y x)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (*.f64 y x)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 y x)))) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 x (*.f64 z z) x))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 (*.f64 y x)) #s(literal -1 binary64) (*.f64 (log1p.f64 (*.f64 z z)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log1p.f64 (*.f64 z z)) #s(literal -1 binary64) (*.f64 (log.f64 (*.f64 y x)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal -1 binary64) (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 y x))) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 y x)))))
(fma.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (*.f64 y x))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (*.f64 y x)))))
(fma.f64 (*.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) x)) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) x))))
(fma.f64 (*.f64 z (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x)))))
(fma.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x)))))
(fma.f64 (*.f64 y (*.f64 y (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x)) (*.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x))))
(fma.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x)) (*.f64 (*.f64 y (*.f64 y (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x)) (*.f64 y (*.f64 y (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x)) (*.f64 y (-.f64 y (*.f64 y (*.f64 z z))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x)) (*.f64 y (-.f64 y (*.f64 y (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x)) (*.f64 y (*.f64 y (*.f64 z (*.f64 z (*.f64 z z)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) x)) (*.f64 y (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) x)) (neg.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y x))) (*.f64 z (*.f64 z (*.f64 z z)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (*.f64 y x))) (*.f64 z z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (*.f64 y x))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 y x))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 y x))) (neg.f64 (*.f64 z z))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (*.f64 z z) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (*.f64 z z) y))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 z z)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (-.f64 #s(literal -1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 z z) x)) y)
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (*.f64 z z)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 z z) y)) (neg.f64 x))
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(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 z z)) (neg.f64 z) #s(literal 1 binary64))) (fma.f64 z (neg.f64 z) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))
(*.f64 (/.f64 (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (fma.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 z z) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))) #s(literal 1 binary64)) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))
(*.f64 (/.f64 (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal -1 binary64)))))
(*.f64 (/.f64 (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (fma.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) #s(literal -1 binary64))) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 z z) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))) #s(literal 1 binary64)) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal -1 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) #s(literal -1 binary64))) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))

eval418.0ms (4%)

Memory
36.1MiB live, 779.8MiB allocated
Compiler

Compiled 77 133 to 4 417 computations (94.3% saved)

prune373.0ms (3.6%)

Memory
3.2MiB live, 954.1MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New2 911162 927
Fresh819
Picked415
Done000
Total2 923182 941
Accuracy
100.0%
Counts
2 941 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.6%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x)
93.4%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 z z) x)) y)
55.0%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) 1) (*.f64 z z))) (*.f64 x y))
99.0%
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))
60.0%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (fma.f64 x (*.f64 z z) x) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))))
54.1%
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y))
98.8%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 x z)) z (*.f64 y x)))
98.7%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x)))
93.2%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z z)) y (*.f64 y x)))
91.7%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
93.2%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 z z) x) y))
91.4%
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y)))
50.9%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))))
57.0%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 x (*.f64 z z) x) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))
40.1%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) x)) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))
60.2%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
60.2%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
60.4%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 533 to 312 computations (41.5% saved)

simplify10.0ms (0.1%)

Memory
21.7MiB live, 21.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z z)
cost-diff0
(fma.f64 y (*.f64 z z) y)
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x)
cost-diff0
(*.f64 x z)
cost-diff0
(*.f64 y z)
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x)))
cost-diff320
(fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x))
cost-diff0
(*.f64 y z)
cost-diff0
(fma.f64 (*.f64 y z) z y)
cost-diff0
(*.f64 x (fma.f64 (*.f64 y z) z y))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
cost-diff0
(*.f64 x z)
cost-diff0
(fma.f64 (*.f64 x z) z x)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))
Rules
142×lower-*.f32
132×lower-*.f64
70×lower-fma.f32
62×lower-fma.f64
56×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027151
048147
190146
2114146
3176146
4182146
5182146
0182146
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(fma.f64 (*.f64 x z) z x)
(*.f64 x z)
x
z
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y)))
#s(literal 1 binary64)
(*.f64 x (fma.f64 (*.f64 y z) z y))
x
(fma.f64 (*.f64 y z) z y)
(*.f64 y z)
y
z
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x)))
#s(literal 1 binary64)
(fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x))
(*.f64 y z)
y
z
(*.f64 x z)
x
(*.f64 y x)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x)
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y))
#s(literal 1 binary64)
(fma.f64 y (*.f64 z z) y)
y
(*.f64 z z)
z
x
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(fma.f64 (*.f64 x z) z x)
(fma.f64 x (*.f64 z z) x)
(*.f64 x z)
x
z
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
#s(literal 1 binary64)
(*.f64 x (fma.f64 (*.f64 y z) z y))
(*.f64 y (fma.f64 x (*.f64 z z) x))
x
(fma.f64 (*.f64 y z) z y)
(fma.f64 y (*.f64 z z) y)
(*.f64 y z)
y
z
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
#s(literal 1 binary64)
(fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x))
(*.f64 y (fma.f64 x (*.f64 z z) x))
(*.f64 y z)
y
z
(*.f64 x z)
x
(*.f64 y x)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y))
#s(literal 1 binary64)
(fma.f64 y (*.f64 z z) y)
y
(*.f64 z z)
z
x

localize240.0ms (2.3%)

Memory
-4.6MiB live, 154.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z z)
accuracy99.1%
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y))
accuracy98.2%
(fma.f64 y (*.f64 z z) y)
accuracy92.3%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x)
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(*.f64 x z)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x)))
accuracy99.1%
(fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x))
accuracy100.0%
(*.f64 y z)
accuracy99.9%
(fma.f64 (*.f64 y z) z y)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y)))
accuracy91.8%
(*.f64 x (fma.f64 (*.f64 y z) z y))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
accuracy60.3%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy100.0%
(*.f64 x z)
accuracy99.9%
(fma.f64 (*.f64 x z) z x)
accuracy99.1%
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))
Samples
210.0ms256×0valid
Compiler

Compiled 157 to 30 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 14.0ms (41.6% of total)
ival-div: 13.0ms (38.6% of total)
ival-add: 6.0ms (17.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series66.0ms (0.6%)

Memory
-20.5MiB live, 18.1MiB allocated
Counts
18 → 480
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x z) z x) (patch (fma.f64 (*.f64 x z) z x) #<representation binary64>) () ())
#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y))) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 (*.f64 y z) z y)) (patch (*.f64 x (fma.f64 (*.f64 y z) z y)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y z) z y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x)) (patch (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) #<representation binary64>) () ())
#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* y (+ x (* x (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x)) #<representation binary64>) () ())) ())
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#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf z) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf z) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (fma.f64 y (*.f64 z z) y) (patch (fma.f64 y (*.f64 z z) y) #<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) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
Calls

120 calls:

TimeVariablePointExpression
37.0ms
y
@-inf
(/ 1 (+ (* y (* z z)) y))
5.0ms
y
@0
(/ (/ 1 y) (+ (* (* x z) z) x))
1.0ms
x
@-inf
(/ (/ 1 y) (+ (* (* x z) z) x))
1.0ms
x
@0
(/ (/ 1 y) (+ (* (* x z) z) x))
1.0ms
x
@inf
(/ (/ 1 y) (+ (* (* x z) z) x))

simplify253.0ms (2.4%)

Memory
-9.1MiB live, 458.2MiB allocated
Algorithm
egg-herbie
Rules
5 762×lower-fma.f64
5 762×lower-fma.f32
3 082×lower-*.f64
3 082×lower-*.f32
2 542×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01104522
13194510
28654471
325324386
463564386
080104107
Stop Event
iter limit
node limit
Counts
480 → 477
Calls
Call 1
Inputs
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* -1 (* x (- (* -1 (pow z 2)) 1)))
(* -1 (* x (- (* -1 (pow z 2)) 1)))
(* -1 (* x (- (* -1 (pow z 2)) 1)))
(* -1 (* x (- (* -1 (pow z 2)) 1)))
x
(+ x (* x (pow z 2)))
(+ x (* x (pow z 2)))
(+ x (* x (pow z 2)))
(* x (pow z 2))
(* (pow z 2) (+ x (/ x (pow z 2))))
(* (pow z 2) (+ x (/ x (pow z 2))))
(* (pow z 2) (+ x (/ x (pow z 2))))
(* x (pow z 2))
(* (pow z 2) (+ x (/ x (pow z 2))))
(* (pow z 2) (+ x (/ x (pow z 2))))
(* (pow z 2) (+ x (/ x (pow z 2))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(* -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(* -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(* -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(* x y)
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
y
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(* x y)
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ -1 (* y (- (* -1 (pow z 2)) 1)))
(/ -1 (* y (- (* -1 (pow z 2)) 1)))
(/ -1 (* y (- (* -1 (pow z 2)) 1)))
(/ -1 (* y (- (* -1 (pow z 2)) 1)))
(/ 1 y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))) (/ 1 y))
(/ 1 (* y (pow z 2)))
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))
(/ 1 (* y (pow z 2)))
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
y
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(*.f64 (fma.f64 z (neg.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (*.f64 z z) (*.f64 y x)) (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 (fma.f64 z (neg.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (*.f64 z z))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (*.f64 z z))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 6 binary64)))))) (*.f64 z z))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (*.f64 z z))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (*.f64 z z))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 6 binary64)))))) (*.f64 z z))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
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(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
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(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* x (+ 1 (pow z 2)))
(fma.f64 x (*.f64 z z) x)
(* x (+ 1 (pow z 2)))
(fma.f64 x (*.f64 z z) x)
(* x (+ 1 (pow z 2)))
(fma.f64 x (*.f64 z z) x)
(* x (+ 1 (pow z 2)))
(fma.f64 x (*.f64 z z) x)
(* x (+ 1 (pow z 2)))
(fma.f64 x (*.f64 z z) x)
(* x (+ 1 (pow z 2)))
(fma.f64 x (*.f64 z z) x)
(* x (+ 1 (pow z 2)))
(fma.f64 x (*.f64 z z) x)
(* x (+ 1 (pow z 2)))
(fma.f64 x (*.f64 z z) x)
(* -1 (* x (- (* -1 (pow z 2)) 1)))
(fma.f64 x (*.f64 z z) x)
(* -1 (* x (- (* -1 (pow z 2)) 1)))
(fma.f64 x (*.f64 z z) x)
(* -1 (* x (- (* -1 (pow z 2)) 1)))
(fma.f64 x (*.f64 z z) x)
(* -1 (* x (- (* -1 (pow z 2)) 1)))
(fma.f64 x (*.f64 z z) x)
x
(+ x (* x (pow z 2)))
(fma.f64 x (*.f64 z z) x)
(+ x (* x (pow z 2)))
(fma.f64 x (*.f64 z z) x)
(+ x (* x (pow z 2)))
(fma.f64 x (*.f64 z z) x)
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* (pow z 2) (+ x (/ x (pow z 2))))
(fma.f64 x (*.f64 z z) x)
(* (pow z 2) (+ x (/ x (pow z 2))))
(fma.f64 x (*.f64 z z) x)
(* (pow z 2) (+ x (/ x (pow z 2))))
(fma.f64 x (*.f64 z z) x)
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* (pow z 2) (+ x (/ x (pow z 2))))
(fma.f64 x (*.f64 z z) x)
(* (pow z 2) (+ x (/ x (pow z 2))))
(fma.f64 x (*.f64 z z) x)
(* (pow z 2) (+ x (/ x (pow z 2))))
(fma.f64 x (*.f64 z z) x)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
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(*.f64 x z)
(* x z)
(*.f64 x z)
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(*.f64 x z)
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(*.f64 x z)
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(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
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(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
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(*.f64 x z)
(* x z)
(*.f64 x z)
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(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
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(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
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(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
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(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
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(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
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(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
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(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
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(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (*.f64 z z))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 6 binary64)))))) (*.f64 z z))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
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(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
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(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (*.f64 z z))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (pow.f64 z #s(literal 6 binary64)))))) (*.f64 z z))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
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(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
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(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
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(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x)))
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(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y))
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(/ -1 (* y (- (* -1 (pow z 2)) 1)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y))
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(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y))
(/ -1 (* y (- (* -1 (pow z 2)) 1)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y))
(/ -1 (* y (- (* -1 (pow z 2)) 1)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 z z #s(literal -1 binary64)))
(+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))
(fma.f64 (/.f64 (*.f64 z z) y) (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))) (/ 1 y))
(*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 z z #s(literal -1 binary64))))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z z)))) (*.f64 z z))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))) (*.f64 z z))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 z #s(literal 6 binary64)))))) (*.f64 z z))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z z)))) (*.f64 z z))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))) (*.f64 z z))
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(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 z #s(literal 6 binary64)))))) (*.f64 z z))
(* y (+ 1 (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(* y (+ 1 (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(* y (+ 1 (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(* y (+ 1 (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(* y (+ 1 (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(* y (+ 1 (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(* y (+ 1 (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(* y (+ 1 (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(fma.f64 y (*.f64 z z) y)
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(fma.f64 y (*.f64 z z) y)
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(fma.f64 y (*.f64 z z) y)
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(fma.f64 y (*.f64 z z) y)
y
(+ y (* y (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(+ y (* y (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(+ y (* y (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* (pow z 2) (+ y (/ y (pow z 2))))
(fma.f64 y (*.f64 z z) y)
(* (pow z 2) (+ y (/ y (pow z 2))))
(fma.f64 y (*.f64 z z) y)
(* (pow z 2) (+ y (/ y (pow z 2))))
(fma.f64 y (*.f64 z z) y)
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* (pow z 2) (+ y (/ y (pow z 2))))
(fma.f64 y (*.f64 z z) y)
(* (pow z 2) (+ y (/ y (pow z 2))))
(fma.f64 y (*.f64 z z) y)
(* (pow z 2) (+ y (/ y (pow z 2))))
(fma.f64 y (*.f64 z z) y)
(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)
(*.f64 z z)
(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)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite478.0ms (4.6%)

Memory
-19.6MiB live, 612.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 352×lower-fma.f32
5 344×lower-fma.f64
5 040×lower-*.f32
5 030×lower-*.f64
4 056×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027126
048122
1210121
21239121
08315121
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 895
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))
(/.f64 #s(literal 1 binary64) y)
(fma.f64 (*.f64 x z) z x)
(*.f64 x z)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y)))
(*.f64 x (fma.f64 (*.f64 y z) z y))
(fma.f64 (*.f64 y z) z y)
(*.f64 y z)
(fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x)
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y))
(fma.f64 y (*.f64 z z) y)
(*.f64 z z)
(*.f64 y x)
Outputs
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (neg.f64 (*.f64 z z))))
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(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))) x)) (*.f64 y (-.f64 y (*.f64 y (*.f64 z z))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))) x)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (-.f64 (*.f64 y (*.f64 z z)) y)) x)) (*.f64 y (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (-.f64 (*.f64 y (*.f64 z z)) y)) x)) (neg.f64 y)))
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(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(+.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (*.f64 x (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y y) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 x x))))))) (*.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 x (*.f64 y (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (*.f64 x (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y y) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 x x))))))))
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(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (log.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -1 binary64))))
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(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) y) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (neg.f64 y)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) y) (*.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 y)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z))) (*.f64 y y)) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (-.f64 (*.f64 y (*.f64 z z)) y))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z))) (*.f64 y y)) (-.f64 (*.f64 y (*.f64 z z)) y)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (*.f64 y (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (*.f64 (neg.f64 y) (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (neg.f64 y) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (*.f64 (neg.f64 y) (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 9 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))))) (fma.f64 y (-.f64 y (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))) (fma.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))) (*.f64 (*.f64 y (neg.f64 y)) y))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))) (*.f64 (*.f64 y (neg.f64 y)) y)) (fma.f64 y (-.f64 y (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))) (fma.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))) (*.f64 (*.f64 y (neg.f64 y)) y))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (*.f64 y y) (*.f64 y y) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (*.f64 y y) (*.f64 y y))))) (-.f64 (*.f64 y (*.f64 z z)) y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))))) (fma.f64 y (-.f64 y (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (fma.f64 (*.f64 z z) (neg.f64 y) y))) (-.f64 (*.f64 y (*.f64 z z)) y))
(/.f64 (neg.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (fma.f64 (*.f64 z z) (neg.f64 y) y))) (neg.f64 (fma.f64 (*.f64 z z) (neg.f64 y) y)))
(/.f64 (neg.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (-.f64 y (*.f64 y (*.f64 z z))))) (neg.f64 (-.f64 y (*.f64 y (*.f64 z z)))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) y)) (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) y)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))) (-.f64 (*.f64 y (*.f64 z z)) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y (*.f64 z z)) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))) (-.f64 (*.f64 y (*.f64 z z)) y)) (/.f64 (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))) (-.f64 (*.f64 y (*.f64 z z)) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y (*.f64 z z)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y (*.f64 z z)) y)) (*.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))) (-.f64 (*.f64 y (*.f64 z z)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y (*.f64 z z)) y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))) (-.f64 (*.f64 y (*.f64 z z)) y)) (/.f64 (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))) (-.f64 (*.f64 y (*.f64 z z)) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y (*.f64 z z)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y (*.f64 z z)) y)))) (+.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))) (-.f64 (*.f64 y (*.f64 z z)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y (*.f64 z z)) y))))
(pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 y (*.f64 z z)) y) (-.f64 (*.f64 y (*.f64 z z)) y)))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (neg.f64 y) (fma.f64 z (neg.f64 z) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (fma.f64 y (*.f64 z z) (*.f64 y z)) (-.f64 (*.f64 y (*.f64 z z)) (*.f64 y z))))))
(*.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (-.f64 (*.f64 y (*.f64 z z)) y)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z z) (neg.f64 y) y)))
(*.f64 (fma.f64 z (neg.f64 z) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z))))))))
(*.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (fma.f64 (*.f64 z z) (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (neg.f64 y) y)))
(*.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (-.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y (*.f64 z z)))))
(*.f64 (*.f64 y (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z))))) #s(literal 1 binary64)) (/.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (fma.f64 y (-.f64 y (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (*.f64 z z)))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 z z)
(*.f64 (*.f64 z z) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 y (neg.f64 x)))
(neg.f64 (*.f64 y (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 y (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 x)))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))

eval338.0ms (3.3%)

Memory
59.8MiB live, 589.8MiB allocated
Compiler

Compiled 71 223 to 2 942 computations (95.9% saved)

prune294.0ms (2.8%)

Memory
-0.7MiB live, 568.5MiB allocated
Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New2 42062 426
Fresh4812
Picked145
Done011
Total2 425192 444
Accuracy
100.0%
Counts
2 444 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.4%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) x)
93.4%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 z z) x)) y)
55.0%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) 1) (*.f64 z z))) (*.f64 x y))
50.9%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) x)
99.0%
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))
60.0%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (fma.f64 x (*.f64 z z) x) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))))
54.1%
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y))
60.2%
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x)
98.8%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)))
98.7%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x)))
93.2%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z z)) y (*.f64 y x)))
91.7%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
91.4%
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y)))
50.9%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))))
54.5%
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z)))))
57.0%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 x (*.f64 z z) x) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))
40.1%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) x)) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))
60.2%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
60.4%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 509 to 297 computations (41.7% saved)

simplify13.0ms (0.1%)

Memory
-4.8MiB live, 34.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y z)
cost-diff0
(fma.f64 (*.f64 y z) z y)
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) x)
cost-diff0
(*.f64 y (*.f64 z z))
cost-diff0
#s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) x)
cost-diff0
(*.f64 y (*.f64 z z))
cost-diff0
#s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))
cost-diff0
(*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
#s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y))
cost-diff0
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x)
cost-diff0
(*.f64 x z)
cost-diff0
(*.f64 (*.f64 x z) y)
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)))
cost-diff320
(fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x))
Rules
154×lower-*.f32
140×lower-*.f64
70×lower-/.f32
70×lower-fma.f32
68×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031213
050210
174204
293204
3115204
4138204
5149204
6213204
7213204
0213204
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)))
#s(literal 1 binary64)
(fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x))
(*.f64 (*.f64 x z) y)
(*.f64 x z)
x
z
y
(*.f64 y x)
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))))
#s(literal 1 binary64)
(*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))
x
#s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))
(*.f64 y (*.f64 z z))
y
(*.f64 z z)
z
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) x)
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))))
#s(literal 1 binary64)
#s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))
(*.f64 y (*.f64 z z))
y
(*.f64 z z)
z
x
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) x)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y))
#s(literal 1 binary64)
(fma.f64 (*.f64 y z) z y)
(*.f64 y z)
y
z
x
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
#s(literal 1 binary64)
(fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x))
(*.f64 x (fma.f64 y (*.f64 z z) y))
(*.f64 (*.f64 x z) y)
(*.f64 z (*.f64 x y))
(*.f64 x z)
x
z
y
(*.f64 y x)
(*.f64 x y)
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))))
#s(literal 1 binary64)
(*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))
(*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))))
x
#s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))
#s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))
(*.f64 y (*.f64 z z))
y
(*.f64 z z)
z
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) x)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))))
#s(literal 1 binary64)
#s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))
(*.f64 y (*.f64 z z))
y
(*.f64 z z)
z
x
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y))
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y))
#s(literal 1 binary64)
(fma.f64 (*.f64 y z) z y)
(fma.f64 y (*.f64 z z) y)
(*.f64 y z)
(*.f64 z y)
y
z
x

localize84.0ms (0.8%)

Memory
6.2MiB live, 195.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y z)
accuracy99.9%
(fma.f64 (*.f64 y z) z y)
accuracy99.1%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y))
accuracy92.3%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) x)
accuracy99.1%
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))))
accuracy92.3%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) x)
accuracy90.2%
(*.f64 y (*.f64 z z))
accuracy51.6%
#s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))))
accuracy91.8%
(*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))
accuracy90.2%
(*.f64 y (*.f64 z z))
accuracy51.6%
#s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy92.3%
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x)
accuracy52.2%
#s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y))
accuracy100.0%
(*.f64 x z)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)))
accuracy99.2%
(fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x))
accuracy89.7%
(*.f64 (*.f64 x z) y)
Samples
52.0ms256×0valid
Compiler

Compiled 179 to 25 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 15.0ms (52.1% of total)
ival-div: 10.0ms (34.7% of total)
ival-add: 3.0ms (10.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
14.1MiB live, 53.0MiB allocated
Counts
18 → 516
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x z) y) (patch (*.f64 (*.f64 x z) y) #<representation binary64>) () ())
#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x) (patch (/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))) (patch (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))) (patch #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))) #<representation binary64>) () ())
#s(alt (*.f64 y (*.f64 z z)) (patch (*.f64 y (*.f64 z z)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))) (patch #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y z) z y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
Outputs
#s(alt (* x (+ y (* y (pow z 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* y (pow z 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* y (pow z 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* y (pow z 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* y (pow z 2)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* y (pow z 2)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* y (pow z 2)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* y (pow z 2)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (pow z 2))) (taylor inf z) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (pow z 2))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x (pow z 2)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x (pow z 2)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x (pow z 2)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x (pow z 2)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x (pow z 2)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x (pow z 2)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x (pow z 2)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) (patch (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
Calls

129 calls:

TimeVariablePointExpression
7.0ms
y
@inf
(* y (* z z))
1.0ms
x
@0
(* (* x z) y)
0.0ms
y
@inf
(* (* x z) y)
0.0ms
z
@0
(* (* x z) y)
0.0ms
x
@inf
(* (* x z) y)

simplify263.0ms (2.5%)

Memory
-11.4MiB live, 473.8MiB allocated
Algorithm
egg-herbie
Rules
5 060×lower-fma.f64
5 060×lower-fma.f32
3 240×lower--.f64
3 240×lower--.f32
2 678×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01045190
12995174
28385127
324745022
461785022
081574713
Stop Event
iter limit
node limit
Counts
516 → 513
Calls
Call 1
Inputs
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y
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(/ 1 (* y (pow z 2)))
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))
(/ 1 (* y (pow z 2)))
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
y
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
Outputs
(* x (+ y (* y (pow z 2))))
(*.f64 x (fma.f64 y (*.f64 z z) y))
(* x (+ y (* y (pow z 2))))
(*.f64 x (fma.f64 y (*.f64 z z) y))
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(* x (+ y (* y (pow z 2))))
(*.f64 x (fma.f64 y (*.f64 z z) y))
(* x (+ y (* y (pow z 2))))
(*.f64 x (fma.f64 y (*.f64 z z) y))
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(*.f64 x (fma.f64 y (*.f64 z z) y))
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
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(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
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(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
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(* x y)
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(+ (* x y) (* x (* y (pow z 2))))
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(+ (* x y) (* x (* y (pow z 2))))
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(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
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(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
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(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(*.f64 x (fma.f64 y (*.f64 z z) y))
(/ 1 (* x (+ y (* y (pow z 2)))))
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(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
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(* x z)
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(fma.f64 y (*.f64 z z) y)
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(fma.f64 y (*.f64 z z) y)
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(fma.f64 y (*.f64 z z) y)
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(fma.f64 y (*.f64 z z) y)
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(fma.f64 y (*.f64 z z) y)
y
(+ y (* y (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(+ y (* y (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(+ y (* y (pow z 2)))
(fma.f64 y (*.f64 z z) y)
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* (pow z 2) (+ y (/ y (pow z 2))))
(fma.f64 y (*.f64 z z) y)
(* (pow z 2) (+ y (/ y (pow z 2))))
(fma.f64 y (*.f64 z z) y)
(* (pow z 2) (+ y (/ y (pow z 2))))
(fma.f64 y (*.f64 z z) y)
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* (pow z 2) (+ y (/ y (pow z 2))))
(fma.f64 y (*.f64 z z) y)
(* (pow z 2) (+ y (/ y (pow z 2))))
(fma.f64 y (*.f64 z z) y)
(* (pow z 2) (+ y (/ y (pow z 2))))
(fma.f64 y (*.f64 z z) y)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)

rewrite703.0ms (6.8%)

Memory
-25.9MiB live, 431.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 902×lower-fma.f32
7 898×lower-fma.f64
4 820×lower-*.f32
4 806×lower-*.f64
2 396×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031180
050177
1169171
2748171
36234171
08484171
Stop Event
iter limit
node limit
iter limit
Counts
18 → 789
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)))
(*.f64 (*.f64 x z) y)
(*.f64 x z)
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))))
(*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z))))
#s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))
(*.f64 y (*.f64 z z))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) x)
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z))))
#s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) x)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y))
(fma.f64 (*.f64 y z) z y)
(*.f64 y z)
Outputs
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 z z))))
(+.f64 (*.f64 x (*.f64 y (*.f64 z z))) (*.f64 x y))
(+.f64 (/.f64 (*.f64 z (*.f64 x (*.f64 z (*.f64 y (*.f64 x (*.f64 y (*.f64 z z))))))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))))
(+.f64 (neg.f64 (*.f64 x (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 z z))))))
(+.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 z z))))) (neg.f64 (*.f64 x (neg.f64 y))))
(+.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 x) (neg.f64 (*.f64 y (*.f64 z z)))))
(+.f64 (*.f64 (neg.f64 x) (neg.f64 (*.f64 y (*.f64 z z)))) (*.f64 (neg.f64 x) (neg.f64 y)))
(+.f64 (*.f64 (neg.f64 y) (neg.f64 x)) (*.f64 (neg.f64 (*.f64 y (*.f64 z z))) (neg.f64 x)))
(+.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 z z))) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 x)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 x (fma.f64 z (*.f64 z y) y))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (fma.f64 z (*.f64 z y) y))))
(-.f64 (/.f64 (*.f64 z (*.f64 x (*.f64 z (*.f64 y (*.f64 x (*.f64 y (*.f64 z z))))))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 z (*.f64 x (*.f64 z (*.f64 y (*.f64 x (*.f64 y (*.f64 z z))))))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 z (*.f64 z y) y))) (neg.f64 (*.f64 x (fma.f64 z (*.f64 z y) y))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (-.f64 y (*.f64 y (*.f64 z z))))) (/.f64 (*.f64 z (*.f64 x (*.f64 z (*.f64 y (*.f64 x (*.f64 y (*.f64 z z))))))) (*.f64 x (-.f64 y (*.f64 y (*.f64 z z))))))
(fma.f64 x y (*.f64 x (*.f64 y (*.f64 z z))))
(fma.f64 x (*.f64 y (*.f64 z z)) (*.f64 x y))
(fma.f64 z (*.f64 x (*.f64 z y)) (*.f64 x y))
(fma.f64 z (/.f64 (*.f64 x (*.f64 z (*.f64 y (*.f64 x (*.f64 y (*.f64 z z)))))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))))
(fma.f64 (*.f64 x z) (*.f64 z y) (*.f64 x y))
(fma.f64 (*.f64 x z) (/.f64 (*.f64 z (*.f64 y (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))))
(fma.f64 y x (*.f64 x (*.f64 y (*.f64 z z))))
(fma.f64 y (*.f64 x (*.f64 z z)) (*.f64 x y))
(fma.f64 y (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) (*.f64 x y))
(fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 x y))
(fma.f64 (*.f64 x (*.f64 z y)) (/.f64 (*.f64 z (*.f64 x (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(fma.f64 (*.f64 x y) (*.f64 z z) (*.f64 x y))
(fma.f64 (*.f64 z z) (*.f64 x y) (*.f64 x y))
(fma.f64 (*.f64 z z) (/.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))))
(fma.f64 (*.f64 y (*.f64 z z)) x (*.f64 x y))
(fma.f64 (*.f64 z y) (*.f64 x z) (*.f64 x y))
(fma.f64 (*.f64 x (*.f64 y (*.f64 z z))) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (*.f64 x (*.f64 y (*.f64 z z))) (/.f64 (*.f64 x (*.f64 y (*.f64 z z))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))))
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 (neg.f64 (*.f64 y (*.f64 z z))) (neg.f64 x)))
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 (neg.f64 x) (neg.f64 (*.f64 y (*.f64 z z)))))
(fma.f64 (neg.f64 x) (neg.f64 (*.f64 y (*.f64 z z))) (*.f64 (neg.f64 x) (neg.f64 y)))
(fma.f64 (*.f64 z (*.f64 x (*.f64 z (*.f64 y (*.f64 x (*.f64 y (*.f64 z z))))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))))
(fma.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 z z))))) (/.f64 (*.f64 z z) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 z z))) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))))
(fma.f64 (neg.f64 (*.f64 y (*.f64 z z))) (neg.f64 x) (*.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 (*.f64 x (*.f64 z z)) y (*.f64 x y))
(fma.f64 (*.f64 x (*.f64 z (*.f64 x (*.f64 y (*.f64 z z))))) (/.f64 (*.f64 z y) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))))
(fma.f64 (*.f64 x (*.f64 z (*.f64 y (*.f64 x (*.f64 y (*.f64 z z)))))) (/.f64 z (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))))
(fma.f64 (*.f64 z (*.f64 x (*.f64 y (*.f64 z z)))) (/.f64 (*.f64 x (*.f64 z y)) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))))
(fma.f64 (/.f64 (*.f64 z (*.f64 x (*.f64 z (*.f64 y (*.f64 x (*.f64 y (*.f64 z z))))))) (*.f64 (*.f64 x (fma.f64 z (*.f64 z y) y)) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))) (*.f64 x (fma.f64 z (*.f64 z y) y)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))))
(fma.f64 (/.f64 (*.f64 z (*.f64 x (*.f64 z (*.f64 y (*.f64 x (*.f64 y (*.f64 z z))))))) (-.f64 (*.f64 (*.f64 x (*.f64 z y)) (*.f64 z (*.f64 z (*.f64 x (*.f64 z (*.f64 y (*.f64 x (*.f64 y (*.f64 z z))))))))) (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x (*.f64 y y))))) (fma.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 x (*.f64 y (*.f64 z z)))))) (*.f64 (*.f64 x y) (*.f64 x (fma.f64 z (*.f64 z y) y)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))))
(neg.f64 (neg.f64 (*.f64 x (fma.f64 z (*.f64 z y) y))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z y) y)))
(/.f64 (*.f64 x (fma.f64 z (*.f64 z y) y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (*.f64 z y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 y (*.f64 y (*.f64 z z)))) (*.f64 (*.f64 x (fma.f64 z (*.f64 z y) y)) (*.f64 x (-.f64 y (*.f64 y (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (*.f64 z z)) (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 y y)) (*.f64 x (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 (*.f64 x (fma.f64 z (*.f64 z y) y)) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))
(/.f64 (fma.f64 z (*.f64 z y) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 z (*.f64 z y) y))))
(/.f64 (neg.f64 (fma.f64 z (*.f64 z y) y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 z (*.f64 z y) y)))
(/.f64 (neg.f64 (*.f64 x (fma.f64 z (*.f64 z y) y))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 x (fma.f64 z (*.f64 z y) y)) (fma.f64 (*.f64 x (*.f64 y (*.f64 z z))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) (*.f64 x (*.f64 x (*.f64 y y))))) (fma.f64 (*.f64 x (*.f64 y (*.f64 z z))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) (*.f64 x (*.f64 x (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 x (fma.f64 z (*.f64 z y) y)) (fma.f64 (*.f64 x (*.f64 y (*.f64 z z))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) (*.f64 x (*.f64 x (*.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 y (*.f64 z z))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) (*.f64 x (*.f64 x (*.f64 y y)))))))
(/.f64 (*.f64 (*.f64 x (fma.f64 z (*.f64 z y) y)) (fma.f64 (*.f64 x (*.f64 y (*.f64 z z))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 x (*.f64 y (*.f64 z z))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) (*.f64 x (*.f64 x (*.f64 y y)))))))
(/.f64 (*.f64 (*.f64 x (fma.f64 z (*.f64 z y) y)) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))
(/.f64 (*.f64 (*.f64 x (fma.f64 z (*.f64 z y) y)) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 (neg.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))))
(/.f64 (*.f64 (*.f64 x (fma.f64 z (*.f64 z y) y)) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 y (*.f64 z z))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 (*.f64 x (fma.f64 z (*.f64 z y) y)))) (neg.f64 (fma.f64 (*.f64 x (*.f64 y (*.f64 z z))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) (*.f64 x (*.f64 x (*.f64 y y))))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 y (*.f64 z z))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 (*.f64 x (fma.f64 z (*.f64 z y) y)))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x (*.f64 y (*.f64 z z))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) (*.f64 x (*.f64 x (*.f64 y y)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 z (*.f64 z y) y)) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))) (neg.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 z (*.f64 z y) y)) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x (*.f64 y y))) (*.f64 (*.f64 x y) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x (*.f64 y y))))) (pow.f64 (*.f64 x (*.f64 y (*.f64 z z))) #s(literal 9 binary64))) (*.f64 (fma.f64 (*.f64 x (*.f64 y (*.f64 z z))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) (*.f64 x (*.f64 x (*.f64 y y)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x (*.f64 y y))) (-.f64 (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x (*.f64 y y))) (*.f64 (*.f64 x (*.f64 z y)) (*.f64 z (*.f64 z (*.f64 x (*.f64 z (*.f64 y (*.f64 x (*.f64 y (*.f64 z z)))))))))) (*.f64 (*.f64 (*.f64 x (*.f64 z y)) (*.f64 z (*.f64 z (*.f64 x (*.f64 z (*.f64 y (*.f64 x (*.f64 y (*.f64 z z))))))))) (*.f64 (*.f64 x (*.f64 z y)) (*.f64 z (*.f64 z (*.f64 x (*.f64 z (*.f64 y (*.f64 x (*.f64 y (*.f64 z z)))))))))))))
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(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 (*.f64 y (*.f64 z z)) (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 y y)) (*.f64 y (-.f64 (*.f64 y (*.f64 z (*.f64 z (*.f64 z z)))) (-.f64 y (*.f64 y (*.f64 z z))))))) (*.f64 y (-.f64 (*.f64 y (*.f64 z (*.f64 z (*.f64 z z)))) (-.f64 y (*.f64 y (*.f64 z z))))))
(*.f64 (/.f64 (*.f64 (fma.f64 z (*.f64 z y) y) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) (fma.f64 (*.f64 y (*.f64 y (*.f64 z z))) (*.f64 y (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 y (neg.f64 y)) y))) (fma.f64 y (fma.f64 z (*.f64 z y) y) (*.f64 (*.f64 z z) (*.f64 y (*.f64 y (*.f64 z z))))))
(/.f64 z (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 z y) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 z (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 y) z) #s(literal -1 binary64))
(*.f64 z y)
(*.f64 y z)
(*.f64 y (*.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 z y) #s(literal 1 binary64))

eval203.0ms (2%)

Memory
-6.7MiB live, 340.3MiB allocated
Compiler

Compiled 33 638 to 1 854 computations (94.5% saved)

prune198.0ms (1.9%)

Memory
-3.1MiB live, 367.3MiB allocated
Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New1 33251 337
Fresh279
Picked325
Done055
Total1 337191 356
Accuracy
100.0%
Counts
1 356 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.4%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 z z) x)) y)
65.8%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 z y) y) (*.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))) x)
55.0%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) 1) (*.f64 z z))) (*.f64 x y))
52.8%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 (*.f64 z y) z))) x)
99.0%
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))
54.1%
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y))
60.2%
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x)
95.8%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) z) z (*.f64 y x)))
98.7%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x)))
91.7%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
93.3%
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x (*.f64 x (*.f64 z z)))))
91.4%
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y)))
52.8%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z))))
50.9%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))))
54.5%
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z)))))
57.0%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 x (*.f64 z z) x) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))
40.1%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) x)) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))
60.2%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
60.4%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 780 to 286 computations (63.3% saved)

regimes153.0ms (1.5%)

Memory
27.7MiB live, 146.6MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))))
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 z z) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x (*.f64 x (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z z)) y (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 x z)) z (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) z) z (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) x)
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 (*.f64 z y) z))) x)
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) 1) (*.f64 z z))) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 z z) x)) y)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z z) y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) x)) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 x (*.f64 z z) x) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (fma.f64 x (*.f64 z z) x) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 z y) y) (*.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (fma.f64 y (*.f64 z z) y) (-.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y (*.f64 z z))))))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 y (*.f64 z z) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))
Calls

8 calls:

41.0ms
(/.f64 #s(literal 1 binary64) x)
36.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
21.0ms
y
12.0ms
x
11.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
99.0%1x
99.0%1y
99.0%1z
99.0%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
99.0%1(/.f64 #s(literal 1 binary64) x)
99.0%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.0%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.0%1(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes114.0ms (1.1%)

Memory
-9.1MiB live, 108.0MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))))
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 z z) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x (*.f64 x (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z z)) y (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 x z)) z (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) z) z (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))) x)
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (* z z)) y) (*.f64 (*.f64 z y) z))) x)
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) 1) (*.f64 z z))) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 x z)) z (*.f64 y x)))
Calls

8 calls:

34.0ms
(/.f64 #s(literal 1 binary64) x)
26.0ms
y
15.0ms
(*.f64 z z)
8.0ms
x
8.0ms
z
Results
AccuracySegmentsBranch
98.8%1x
98.8%1y
98.8%1z
98.8%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
98.8%1(/.f64 #s(literal 1 binary64) x)
98.8%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
98.8%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
98.8%1(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes62.0ms (0.6%)

Memory
8.4MiB live, 87.2MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))))
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 z z) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x (*.f64 x (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z z)) y (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x)))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x)))
Calls

8 calls:

16.0ms
z
12.0ms
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
6.0ms
x
6.0ms
(/.f64 #s(literal 1 binary64) x)
6.0ms
y
Results
AccuracySegmentsBranch
98.7%1x
98.7%1y
98.7%1z
98.7%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
98.7%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
98.7%1(*.f64 z z)
98.7%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
98.7%1(/.f64 #s(literal 1 binary64) x)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes102.0ms (1%)

Memory
-34.4MiB live, 88.2MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))))
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 z z) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x (*.f64 x (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z z)) y (*.f64 y x)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x (*.f64 x (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z))))
Calls

8 calls:

34.0ms
(*.f64 z z)
22.0ms
x
18.0ms
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
6.0ms
(/.f64 #s(literal 1 binary64) x)
6.0ms
z
Results
AccuracySegmentsBranch
93.3%1x
95.1%2y
95.1%2z
93.3%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
93.3%1(/.f64 #s(literal 1 binary64) x)
93.3%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
95.1%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
95.1%2(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes15.0ms (0.1%)

Memory
24.4MiB live, 24.4MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))))
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 z z) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 z z) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z))))
Calls

3 calls:

5.0ms
z
5.0ms
(*.f64 z z)
4.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
95.1%2z
95.1%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
95.1%2(*.f64 z z)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes56.0ms (0.5%)

Memory
12.4MiB live, 50.0MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))))
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 y z) z y)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z))))
Calls

8 calls:

25.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
4.0ms
(/.f64 #s(literal 1 binary64) x)
4.0ms
y
4.0ms
z
4.0ms
x
Results
AccuracySegmentsBranch
91.4%1x
91.4%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
91.4%1(/.f64 #s(literal 1 binary64) x)
93.2%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
91.4%1y
95.1%3z
95.1%3(+.f64 #s(literal 1 binary64) (*.f64 z z))
95.1%3(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes44.0ms (0.4%)

Memory
-31.3MiB live, 45.9MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))))
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z))))
Outputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z))))
Calls

8 calls:

11.0ms
x
10.0ms
(*.f64 z z)
4.0ms
(/.f64 #s(literal 1 binary64) x)
4.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
4.0ms
z
Results
AccuracySegmentsBranch
68.8%5x
76.7%2(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
68.8%5(/.f64 #s(literal 1 binary64) x)
67.5%2y
79.7%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
94.4%3z
94.4%3(+.f64 #s(literal 1 binary64) (*.f64 z z))
94.4%3(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes10.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))))
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y (* z z)) y) (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 y (*.f64 z z)))))
Outputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z)))))
Calls

3 calls:

3.0ms
z
3.0ms
(*.f64 z z)
3.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
92.6%2z
92.6%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
92.6%2(*.f64 z z)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))))
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))))
Outputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))))
Calls

3 calls:

3.0ms
z
2.0ms
(*.f64 z z)
2.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
88.9%2z
88.9%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
88.9%2(*.f64 z z)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes28.0ms (0.3%)

Memory
-11.6MiB live, 31.1MiB allocated
Accuracy

Total -4.4b remaining (-17.2%)

Threshold costs -4.4b (-17.2%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 #s(approx (/ 1 (+ (* y (* z z)) y)) (/.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y))))
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y))
Outputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
Calls

8 calls:

11.0ms
z
3.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
2.0ms
(/.f64 #s(literal 1 binary64) x)
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
60.4%1x
60.4%1(/.f64 #s(literal 1 binary64) x)
60.4%1y
60.4%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
60.4%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
60.4%1z
60.4%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
60.4%1(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6901939793657606e+297
1.6194781447826326e+299
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6901939793657606e+297
1.6194781447826326e+299
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6901939793657606e+297
1.6194781447826326e+299
0.0ms
1.1733478443080103e+25
5.334653637617506e+25
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6901939793657606e+297
1.6194781447826326e+299
0.0ms
0.5005702919475074
16644894.220440954
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.5005702919475074
16644894.220440954
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.5005702919475074
16644894.220440954
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify22.0ms (0.2%)

Memory
-18.7MiB live, 20.2MiB allocated
Algorithm
egg-herbie
Rules
36×*-commutative_binary64
12×+-commutative_binary64
10×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070345
195345
2108345
3117345
4122345
5123345
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 x z)) z (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x)))
(if (<=.f64 (*.f64 z z) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x (*.f64 x (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z)))))
(if (<=.f64 (*.f64 z z) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 z z) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z)))))
(if (<=.f64 (*.f64 z z) #s(literal 20000000000000001811939328 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) (if (<=.f64 (*.f64 z z) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z))))))
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) (if (<=.f64 (*.f64 z z) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z))))))
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))))
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x z) z x))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 x z)) z (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 x z) (*.f64 y x)))
(if (<=.f64 (*.f64 z z) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x (*.f64 x (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z)))))
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(if (<=.f64 (*.f64 z z) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 z z) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z)))))
(if (<=.f64 (*.f64 z z) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 z z) x))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 z (*.f64 y z))))))
(if (<=.f64 (*.f64 z z) #s(literal 20000000000000001811939328 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) (if (<=.f64 (*.f64 z z) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z))))))
(if (<=.f64 (*.f64 z z) #s(literal 20000000000000001811939328 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 z z) y))) (if (<=.f64 (*.f64 z z) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 z (*.f64 y z)))))))
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) (if (<=.f64 (*.f64 z z) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 z y) z))))))
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (neg.f64 x)))) (if (<=.f64 (*.f64 z z) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* (* y z) z) y) (*.f64 z (*.f64 y z)))))))
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))))
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (neg.f64 x)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* x z)) (* y x)) (*.f64 y (*.f64 x (*.f64 z z))))))
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (*.f64 x y)))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))))
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (neg.f64 x)))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

soundness1.4s (13.5%)

Memory
4.3MiB live, 1 000.1MiB allocated
Rules
18 180×lower-fma.f64
18 180×lower-fma.f32
7 902×lower-fma.f32
7 898×lower-fma.f64
5 766×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031180
050177
1169171
2748171
36234171
08484171
027126
048122
1210121
21239121
08315121
01104522
13194510
28654471
325324386
463564386
080104107
026113
044112
1194112
21115112
08410112
052814
1135812
2389807
31483790
43946754
57664754
08189693
0929
01429
15829
236029
3275829
0907826
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
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 262 to 546 computations (56.7% saved)

preprocess417.0ms (4%)

Memory
34.5MiB live, 508.5MiB allocated
Remove

(abs z)

Compiler

Compiled 968 to 384 computations (60.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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