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

Time bar (total: 8.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze117.0ms (1.4%)

Memory
36.2MiB live, 150.4MiB 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)

sample1.4s (16.1%)

Memory
-6.6MiB live, 1 343.4MiB allocated
Samples
867.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 584.0ms
ival-add: 221.0ms (37.9% of total)
ival-div: 207.0ms (35.5% of total)
ival-mult: 143.0ms (24.5% of total)
ival-true: 5.0ms (0.9% of total)
exact: 5.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain149.0ms (1.8%)

Memory
-31.8MiB live, 229.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
200-0-(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
180-0-(*.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/o200
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))overflow68
(+.f64 #s(literal 1 binary64) (*.f64 z z))overflow76
(*.f64 z z)overflow76
*.f64(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))n*o180
Confusion
Predicted +Predicted -
+350
-3218
Precision
0.9210526315789473
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3500
-30218
Precision?
0.9210526315789473
Recall?
1.0
Freqs
test
numberfreq
0218
138
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
36.0ms512×0valid
Compiler

Compiled 81 to 31 computations (61.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 11.0ms (52.8% of total)
ival-mult: 7.0ms (33.6% of total)
ival-add: 2.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess330.0ms (3.9%)

Memory
17.7MiB live, 55.3MiB 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 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
Symmetry

(abs z)

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify6.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB 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-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
cost-diff128
(+.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 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
y
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(fma.f64 z z #s(literal 1 binary64))
(*.f64 z z)
z

localize45.0ms (0.5%)

Memory
-9.4MiB live, 29.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 #s(literal 1 binary64) (*.f64 z z))
accuracy0
(*.f64 z z)
accuracy1.9065390197288985
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
accuracy7.155343647157056
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Samples
40.0ms256×0valid
Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (44.9% of total)
ival-div: 3.0ms (33.7% of total)
ival-add: 1.0ms (11.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation binary64>) () ())
#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) 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 (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 (/ 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 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 (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 #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 (* 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 (* 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 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 #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 (* 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 (* 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 -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 (/ 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 (* 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 (/ 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 (* 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 (/ 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 (* 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 (/ 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) (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 (* 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) (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 (* 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) (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>) () ())) ())
Calls

9 calls:

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

simplify260.0ms (3.1%)

Memory
-26.4MiB live, 247.6MiB 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
2390807
31474790
43968754
57660754
08222693
Stop Event
iter limit
node limit
Counts
96 → 95
Calls
Call 1
Inputs
1
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(+ 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)))
y
(+ y (* y (pow z 2)))
(+ y (* y (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) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (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))
(* 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) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (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))
(* 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)
(/ 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)))))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* 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)))))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* 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)))))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* 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)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 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)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 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)
(/ 1 x)
(/ 1 x)
(/ 1 x)
Outputs
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))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #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 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
y
(+ y (* y (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(+ y (* y (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(+ y (* y (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(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) (+ 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 (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y x)) (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 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)))) (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(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) (+ 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 (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y x)) (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 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)))) (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #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 (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #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 (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #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)

rewrite220.0ms (2.6%)

Memory
25.6MiB live, 300.9MiB allocated
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
3275029
0907326
Stop Event
iter limit
node limit
iter limit
Counts
5 → 437
Calls
Call 1
Inputs
(+.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 #s(literal 1 binary64) x)
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 z z)
Outputs
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal 18 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 z (+.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))))
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) (-.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 18 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -3 binary64)) (*.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -3 binary64))))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) (pow.f64 z #s(literal 6 binary64))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 2 binary64)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 y (*.f64 z z)) y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) y)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) y)) (neg.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)))) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (*.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (*.f64 y (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 y (*.f64 z z)) y))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) y) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) y) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y) (*.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y)))
(/.f64 (neg.f64 y) (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 y (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))))
(fma.f64 (*.f64 y z) z y)
(fma.f64 (*.f64 y (*.f64 z z)) #s(literal 1 binary64) y)
(fma.f64 y (*.f64 z z) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(fma.f64 (*.f64 z z) y y)
(fma.f64 z (*.f64 y z) y)
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y (*.f64 z z)))
(-.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) (-.f64 (*.f64 y (*.f64 z z)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y (*.f64 z z)) y)))
(-.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) (/.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(-.f64 (/.f64 (*.f64 (*.f64 y z) (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 y))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 y y) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))))
(-.f64 y (/.f64 (*.f64 y (*.f64 z z)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -1 binary64))))
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 (*.f64 y z) (neg.f64 z))))
(+.f64 (*.f64 y (*.f64 z z)) y)
(+.f64 y (*.f64 y (*.f64 z z)))
(*.f64 (*.f64 z z) #s(literal 1 binary64))
(*.f64 z z)
(*.f64 #s(literal 1 binary64) (*.f64 z z))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 z))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))

eval63.0ms (0.7%)

Memory
16.6MiB live, 211.5MiB allocated
Compiler

Compiled 11 621 to 1 534 computations (86.8% saved)

prune20.0ms (0.2%)

Memory
2.0MiB live, 78.2MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New51814532
Fresh000
Picked101
Done000
Total51914533
Accuracy
91.9%
Counts
533 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.5%
(pow.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) #s(literal -1/2 binary64))
87.1%
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
88.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
37.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64))))))
44.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
58.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))))
85.8%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x))
40.3%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))))
85.5%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
87.4%
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
88.6%
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
51.7%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
44.2%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
58.4%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
Compiler

Compiled 380 to 276 computations (27.4% saved)

simplify97.0ms (1.1%)

Memory
-4.0MiB live, 38.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff704
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
cost-diff0
(*.f64 z z)
cost-diff0
#s(approx (+ 1 (* z z)) (*.f64 z z))
cost-diff0
(*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff-384
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
cost-diff0
(fma.f64 z z #s(literal 1 binary64))
cost-diff0
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
cost-diff0
(*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)
cost-diff-384
(/.f64 #s(literal 1 binary64) (*.f64 y x))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
cost-diff0
(*.f64 y z)
cost-diff0
(fma.f64 (*.f64 y z) z y)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
Rules
1 344×lower-fma.f32
1 340×lower-fma.f64
1 064×lower-*.f32
1 050×lower-*.f64
498×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029166
047160
189160
2148160
3284160
4502160
5735160
61007160
71277160
81685160
92414160
102726160
112729160
122729160
132729160
142729160
152729160
02729160
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.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
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 y x)
y
x
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
#s(literal 1 binary64)
(*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
y
(fma.f64 z z #s(literal 1 binary64))
z
x
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))
y
#s(approx (+ 1 (* z z)) (*.f64 z z))
(*.f64 z z)
z
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) x)
x
(fma.f64 z z #s(literal 1 binary64))
z
#s(literal 1 binary64)
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y 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) x)
#s(literal 1 binary64)
x
(fma.f64 (*.f64 y z) z y)
(fma.f64 (*.f64 z y) z y)
(*.f64 y z)
(*.f64 z y)
y
z
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
#s(literal 1 binary64)
(*.f64 y x)
y
x
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)
(*.f64 (fma.f64 (*.f64 z y) z y) x)
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(fma.f64 (*.f64 z y) z y)
y
(fma.f64 z z #s(literal 1 binary64))
z
x
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(approx (+ 1 (* z z)) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))
(*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) y)
y
#s(approx (+ 1 (* z z)) (*.f64 z z))
(*.f64 z z)
z
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x)
(/.f64 #s(literal -1 binary64) x)
x
(fma.f64 z z #s(literal 1 binary64))
z
#s(literal 1 binary64)

localize148.0ms (1.7%)

Memory
5.9MiB live, 119.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal -1 binary64) y)
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy1.2650343384051213
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
accuracy9.05421764198073
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
accuracy0
(*.f64 z z)
accuracy1.9065390197288985
(*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))
accuracy7.155343647157056
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
accuracy30.273283616203027
#s(approx (+ 1 (* z z)) (*.f64 z z))
accuracy0
(fma.f64 z z #s(literal 1 binary64))
accuracy0.35794227470688295
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
accuracy1.9065390197288985
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
accuracy7.059553148773377
(*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)
accuracy0
(*.f64 y x)
accuracy0.6579793232774733
(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy26.62656539301334
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0
(*.f64 y z)
accuracy0.05859375
(fma.f64 (*.f64 y z) z y)
accuracy7.155343647157056
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
Samples
128.0ms256×0valid
Compiler

Compiled 159 to 26 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-mult: 56.0ms (63% of total)
ival-add: 20.0ms (22.5% of total)
ival-div: 12.0ms (13.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series139.0ms (1.6%)

Memory
-55.0MiB live, 60.3MiB allocated
Counts
19 → 456
Calls
Call 1
Inputs
#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 #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation binary64>) () ())
#s(alt (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 y (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 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) #<representation binary64>) () ())
#s(alt (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) (patch (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* z z)) (*.f64 z z)) (patch #s(approx (+ 1 (* z z)) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))) #<representation binary64>) () ())
Outputs
#s(alt (/ 1 (* x y)) (taylor 0 z) (#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 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#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 (+ (* (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) (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 (+ (* (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) (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 y (taylor 0 z) (#s(alt (fma.f64 (*.f64 y z) z y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y z) z y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y z) z y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y z) z y) (patch (fma.f64 (*.f64 y z) z y) #<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 (/ 1 (* x y)) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<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 #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (fma.f64 z z #s(literal 1 binary64)) (patch (fma.f64 z z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z #s(literal 1 binary64)) (patch (fma.f64 z z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z #s(literal 1 binary64)) (patch (fma.f64 z z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z #s(literal 1 binary64)) (patch (fma.f64 z z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) #<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 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) (patch (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) (patch (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) (patch (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) (patch (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (+ 1 (* z z)) (*.f64 z z)) (patch #s(approx (+ 1 (* z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ 1 (* z z)) (*.f64 z z)) (patch #s(approx (+ 1 (* z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ 1 (* z z)) (*.f64 z z)) (patch #s(approx (+ 1 (* z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ 1 (* z z)) (*.f64 z z)) (patch #s(approx (+ 1 (* z z)) (*.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 (/ 1 (* x y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))) #<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) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))) #<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) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow z 2) x) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) 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) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.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 #s(approx (+ 1 (* z z)) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.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 #s(approx (+ 1 (* z z)) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
73.0ms
y
@0
((/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (* y z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (* (* y (+ (* z z) 1)) x)) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (* (/ -1 y) (/ (/ -1 x) (+ (* z z) 1))) (/ -1 y) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))))
6.0ms
x
@-inf
((/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (* y z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (* (* y (+ (* z z) 1)) x)) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (* (/ -1 y) (/ (/ -1 x) (+ (* z z) 1))) (/ -1 y) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))))
4.0ms
y
@-inf
((/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (* y z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (* (* y (+ (* z z) 1)) x)) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (* (/ -1 y) (/ (/ -1 x) (+ (* z z) 1))) (/ -1 y) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))))
3.0ms
x
@0
((/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (* y z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (* (* y (+ (* z z) 1)) x)) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (* (/ -1 y) (/ (/ -1 x) (+ (* z z) 1))) (/ -1 y) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))))
3.0ms
y
@inf
((/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (* y z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (* (* y (+ (* z z) 1)) x)) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (* (/ -1 y) (/ (/ -1 x) (+ (* z z) 1))) (/ -1 y) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))))

simplify152.0ms (1.8%)

Memory
17.9MiB live, 212.1MiB allocated
Algorithm
egg-herbie
Rules
8 174×lower-fma.f64
8 174×lower-fma.f32
3 376×lower-*.f64
3 376×lower-*.f32
2 632×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0944275
12554264
26994217
326384080
464744070
081663796
Stop Event
iter limit
node limit
Counts
456 → 453
Calls
Call 1
Inputs
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
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(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x)
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x)
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x)
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #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 (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) 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 (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x)
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x)
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x)
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #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 (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) 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 (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x)
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x)
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x)
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #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 (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))

rewrite415.0ms (4.9%)

Memory
21.1MiB live, 371.2MiB allocated
Rules
5 524×lower-*.f32
5 510×lower-*.f64
4 510×lower-/.f32
4 494×lower-/.f64
4 400×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029139
047133
1186133
21178133
08284133
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 973
Calls
Call 1
Inputs
(/.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)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 y x)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(fma.f64 z z #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))
#s(approx (+ 1 (* z z)) (*.f64 z z))
(*.f64 z z)
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) y)
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
Outputs
(*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 z z #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 z z #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y (-.f64 y (*.f64 (pow.f64 z #s(literal 4 binary64)) y)))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y)))) (fma.f64 (neg.f64 y) (*.f64 z z) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (*.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (pow.f64 z #s(literal 4 binary64)) y)))))
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (+.f64 z #s(literal 1 binary64))) (-.f64 z #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 z y) z y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 z y) z y) x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (fma.f64 (*.f64 z y) z y) x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 z z #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z))))
(*.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) #s(literal -1 binary64)) x) (/.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) x) (/.f64 (*.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (pow.f64 z #s(literal 4 binary64)) y))) #s(literal 1 binary64)))
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(*.f64 (*.f64 (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(*.f64 (*.f64 (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(*.f64 (pow.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ 1 (* z z)) (*.f64 z z))) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (+ 1 (* z z)) (*.f64 z z))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -1 binary64) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z)))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) y)))
(*.f64 (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(pow.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (+ 1 (* z z)) (*.f64 z z))) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) #s(literal 1 binary64)) y)
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z)))) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64))) (*.f64 (neg.f64 x) y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64))) (neg.f64 y))
(/.f64 (*.f64 (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
(/.f64 (*.f64 (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(/.f64 (*.f64 (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) y))
(/.f64 (*.f64 (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) y)
(/.f64 (*.f64 (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y x))
(/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z)))) (neg.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 #s(approx (+ 1 (* z z)) (*.f64 z z))))
(/.f64 (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 y x))
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) y)
(/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (neg.f64 (neg.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)))))
(/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z)))
(/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) x)
(/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x #s(approx (+ 1 (* z z)) (*.f64 z z))))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x))
(/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 y) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) y))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (+ 1 (* z z)) (*.f64 z z))) x))
(neg.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) #s(approx (+ 1 (* z z)) (*.f64 z z)))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) y)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))) #s(literal -1 binary64)))

eval502.0ms (5.9%)

Memory
36.3MiB live, 639.7MiB allocated
Compiler

Compiled 52 426 to 4 259 computations (91.9% saved)

prune87.0ms (1%)

Memory
-34.8MiB live, 257.1MiB allocated
Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New2 585132 598
Fresh729
Picked235
Done000
Total2 594182 612
Accuracy
99.2%
Counts
2 612 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.7%
(/.f64 (pow.f64 (fma.f64 (*.f64 z y) z y) #s(literal -1 binary64)) x)
47.0%
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 y))
88.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
44.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
47.0%
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (neg.f64 x)))
40.3%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))))
96.9%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x)))
95.4%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 y x)))
36.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) x) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))
88.5%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x))
88.4%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
44.2%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
47.8%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
49.7%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal -1/2 binary64)))
51.7%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
58.2%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
58.2%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
58.4%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
Compiler

Compiled 400 to 308 computations (23% saved)

simplify107.0ms (1.3%)

Memory
18.7MiB live, 96.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ 1 (* z z)) (*.f64 z z))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z)))
cost-diff128
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 y))
cost-diff-384
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x))
cost-diff0
(*.f64 z y)
cost-diff0
(fma.f64 (*.f64 z y) z y)
cost-diff0
(*.f64 (fma.f64 (*.f64 z y) z y) x)
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 z z)
cost-diff0
#s(approx (+ 1 (* z z)) (*.f64 z z))
cost-diff0
(*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))
cost-diff0
(neg.f64 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) (neg.f64 y)))
cost-diff128
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 z x)
cost-diff0
(*.f64 z y)
cost-diff320
(fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x))
Rules
1 344×lower-fma.f32
1 340×lower-fma.f64
1 064×lower-*.f32
1 052×lower-*.f64
392×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028195
046198
191189
2169187
3367187
4572187
5768187
61013187
71269187
81597187
91826187
102067187
112566187
122656187
132656187
142656187
152656187
162656187
02656181
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x)))
#s(literal 1 binary64)
(fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x))
(*.f64 z y)
z
y
(*.f64 z x)
x
(*.f64 y x)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(neg.f64 y)
y
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
#s(literal 1 binary64)
(*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))
#s(approx (+ 1 (* z z)) (*.f64 z z))
(*.f64 z z)
z
(*.f64 y x)
y
x
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x))
#s(literal 1 binary64)
(*.f64 (fma.f64 (*.f64 z y) z y) x)
(fma.f64 (*.f64 z y) z y)
(*.f64 z y)
z
y
x
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z)))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (+ 1 (* z z)) (*.f64 z z))
(*.f64 z z)
z
(neg.f64 y)
y
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
#s(literal 1 binary64)
(fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(*.f64 z y)
(*.f64 y z)
z
y
(*.f64 z x)
(*.f64 x z)
x
(*.f64 y x)
(*.f64 x y)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(neg.f64 y)
y
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(approx (+ 1 (* z z)) (*.f64 z z)))
#s(literal 1 binary64)
(*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))
(*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 x y))
#s(approx (+ 1 (* z z)) (*.f64 z z))
(*.f64 z z)
z
(*.f64 y x)
(*.f64 x y)
y
x
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
#s(literal 1 binary64)
(*.f64 (fma.f64 (*.f64 z y) z y) x)
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(fma.f64 (*.f64 z y) z y)
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(*.f64 z y)
(*.f64 y z)
z
y
x
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(approx (+ 1 (* z z)) (*.f64 z z)))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z)))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (+ 1 (* z z)) (*.f64 z z))
(*.f64 z z)
z
(neg.f64 y)
y

localize83.0ms (1%)

Memory
18.9MiB live, 168.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 y)
accuracy1.1947218384051213
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 y))
accuracy9.05421764198073
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z)))
accuracy30.273283616203027
#s(approx (+ 1 (* z z)) (*.f64 z z))
accuracy0
(*.f64 z y)
accuracy0.05859375
(fma.f64 (*.f64 z y) z y)
accuracy0.35794227470688295
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x))
accuracy7.059553148773377
(*.f64 (fma.f64 (*.f64 z y) z y) x)
accuracy0
(*.f64 y x)
accuracy0.35794227470688295
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
accuracy7.691456824016488
(*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))
accuracy30.273283616203027
#s(approx (+ 1 (* z z)) (*.f64 z z))
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0
(neg.f64 y)
accuracy0.1953125
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
accuracy26.62656539301334
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
accuracy0
(*.f64 z x)
accuracy0
(*.f64 y x)
accuracy0.35794227470688295
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x)))
accuracy1.7234538170221385
(fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x))
Samples
63.0ms256×0valid
Compiler

Compiled 171 to 29 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-div: 22.0ms (49.5% of total)
ival-mult: 15.0ms (33.7% of total)
ival-add: 6.0ms (13.5% of total)
ival-neg: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series43.0ms (0.5%)

Memory
-26.0MiB live, 83.2MiB allocated
Counts
18 → 480
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x)) (patch (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)) (patch (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* z z)) (*.f64 z z)) (patch #s(approx (+ 1 (* z z)) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 z y) z y) x) (patch (*.f64 (fma.f64 (*.f64 z y) z y) x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 z y) z y) (patch (fma.f64 (*.f64 z y) z y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 y)) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x)) (patch (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x)) (patch (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x)) (patch (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x)) (patch (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 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 #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)) (patch (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)) (patch (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)) (patch (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)) (patch (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (+ 1 (* z z)) (*.f64 z z)) (patch #s(approx (+ 1 (* z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ 1 (* z z)) (*.f64 z z)) (patch #s(approx (+ 1 (* z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ 1 (* z z)) (*.f64 z z)) (patch #s(approx (+ 1 (* z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ 1 (* z z)) (*.f64 z z)) (patch #s(approx (+ 1 (* z z)) (*.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 (* x y) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (*.f64 z y) z y) x) (patch (*.f64 (fma.f64 (*.f64 z y) z y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (*.f64 z y) z y) x) (patch (*.f64 (fma.f64 (*.f64 z y) z y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (*.f64 z y) z y) x) (patch (*.f64 (fma.f64 (*.f64 z y) z y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (*.f64 z y) z y) x) (patch (*.f64 (fma.f64 (*.f64 z y) z y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (fma.f64 (*.f64 z y) z y) (patch (fma.f64 (*.f64 z y) z y) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z y) z y) (patch (fma.f64 (*.f64 z y) z y) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z y) z y) (patch (fma.f64 (*.f64 z y) z y) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z y) z y) (patch (fma.f64 (*.f64 z y) z y) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) #<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 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 y)) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 y)) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 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 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 y)) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 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 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 y)) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow z 2) x) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x))) #<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 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))) #<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 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (pow z 2))) (taylor inf z) (#s(alt (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x)) (patch (fma.f64 (*.f64 z y) (*.f64 z x) (*.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 z y) (*.f64 z x) (*.f64 y x)) (patch (fma.f64 (*.f64 z y) (*.f64 z x) (*.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 z y) (*.f64 z x) (*.f64 y x)) (patch (fma.f64 (*.f64 z y) (*.f64 z x) (*.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 z y) (*.f64 z x) (*.f64 y x)) (patch (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
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#s(alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((+ (* (* z y) (* z x)) (* y x)) (* z y) (* z x) (* y x) (/ (/ -1 x) (neg y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg y) (* (+ 1 (* z z)) (* y x)) (+ 1 (* z z)) (* z z) (* (+ (* (* z y) z) y) x) (+ (* (* z y) z) y) (/ 1 (* (+ (* (* z y) z) y) x)) (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/ (/ -1 x) (+ 1 (* z z))) (/ 1 (+ (* (* z y) (* z x)) (* y x))) (/ 1 (* (+ 1 (* z z)) (* y x))))
4.0ms
z
@0
((+ (* (* z y) (* z x)) (* y x)) (* z y) (* z x) (* y x) (/ (/ -1 x) (neg y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg y) (* (+ 1 (* z z)) (* y x)) (+ 1 (* z z)) (* z z) (* (+ (* (* z y) z) y) x) (+ (* (* z y) z) y) (/ 1 (* (+ (* (* z y) z) y) x)) (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/ (/ -1 x) (+ 1 (* z z))) (/ 1 (+ (* (* z y) (* z x)) (* y x))) (/ 1 (* (+ 1 (* z z)) (* y x))))
4.0ms
x
@-inf
((+ (* (* z y) (* z x)) (* y x)) (* z y) (* z x) (* y x) (/ (/ -1 x) (neg y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg y) (* (+ 1 (* z z)) (* y x)) (+ 1 (* z z)) (* z z) (* (+ (* (* z y) z) y) x) (+ (* (* z y) z) y) (/ 1 (* (+ (* (* z y) z) y) x)) (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/ (/ -1 x) (+ 1 (* z z))) (/ 1 (+ (* (* z y) (* z x)) (* y x))) (/ 1 (* (+ 1 (* z z)) (* y x))))
4.0ms
y
@-inf
((+ (* (* z y) (* z x)) (* y x)) (* z y) (* z x) (* y x) (/ (/ -1 x) (neg y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg y) (* (+ 1 (* z z)) (* y x)) (+ 1 (* z z)) (* z z) (* (+ (* (* z y) z) y) x) (+ (* (* z y) z) y) (/ 1 (* (+ (* (* z y) z) y) x)) (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/ (/ -1 x) (+ 1 (* z z))) (/ 1 (+ (* (* z y) (* z x)) (* y x))) (/ 1 (* (+ 1 (* z z)) (* y x))))
3.0ms
y
@inf
((+ (* (* z y) (* z x)) (* y x)) (* z y) (* z x) (* y x) (/ (/ -1 x) (neg y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg y) (* (+ 1 (* z z)) (* y x)) (+ 1 (* z z)) (* z z) (* (+ (* (* z y) z) y) x) (+ (* (* z y) z) y) (/ 1 (* (+ (* (* z y) z) y) x)) (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/ (/ -1 x) (+ 1 (* z z))) (/ 1 (+ (* (* z y) (* z x)) (* y x))) (/ 1 (* (+ 1 (* z z)) (* y x))))

simplify211.0ms (2.5%)

Memory
26.5MiB live, 305.6MiB allocated
Algorithm
egg-herbie
Rules
12 740×lower-fma.f64
12 740×lower-fma.f32
3 846×lower-*.f64
3 846×lower-*.f32
2 194×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01104559
13204548
28684501
330484364
470154354
082874055
Stop Event
iter limit
node limit
Counts
480 → 479
Calls
Call 1
Inputs
(* x y)
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(* y z)
(* y z)
(* y z)
(* y z)
(* x z)
(* x z)
(* x z)
(* x z)
(/ 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)))
(* x y)
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
1
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(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))))
y
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(+ y (* y (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))
(+ (* -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)
(- (/ (pow z 2) x) (/ 1 x))
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x))
(/ 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))
(+ (* -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)))
(* 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 z)
(* y z)
(* y z)
(* y z)
(* x z)
(* x z)
(* x z)
(* x z)
(/ 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 (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))))
(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)
(pow z 2)
(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 (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))))
(/ 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 (pow z 2)))
(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2))
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (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 (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 (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 z)
(* y z)
(* y z)
(* y z)
(* x z)
(* x z)
(* x z)
(* x z)
(/ 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 (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))))
(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)
(pow z 2)
(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 (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))))
(/ 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 (pow z 2)))
(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2))
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (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 (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))
(* 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 z)
(* y z)
(* y z)
(* y z)
(* x y)
(* x y)
(* x y)
(* 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 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* 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))))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* 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 (* 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)))))
(* 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 z)
(* y z)
(* y z)
(* y z)
(* x y)
(* x y)
(* x y)
(* 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 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
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(* y (+ 1 (pow z 2)))
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(* y (+ 1 (pow z 2)))
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(/ 1 (* x (* y (+ 1 (pow z 2)))))
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(/ 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 (* 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 (* 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))))))
(* y z)
(* y z)
(* y z)
(* y z)
(* x y)
(* x y)
(* x y)
(* 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 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* 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))))
(* -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 (* 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)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (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)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (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 z)
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(* x y)
(* 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)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* x (* y (+ 1 (pow z 2))))
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(* x (+ y (* y (pow z 2))))
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(* 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)))))
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(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (+ 1 (pow z 2))))
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(/ -1 (* x (+ 1 (pow z 2))))
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(/ 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)))))
(* 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 z)
(* x z)
(* x z)
(* x z)
(* x y)
(* x y)
(* x y)
(* 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)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* 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 (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* 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 (+ 1 (pow z 2))))
(/ -1 (* x (+ 1 (pow z 2))))
(/ -1 (* x (+ 1 (pow z 2))))
(/ -1 (* x (+ 1 (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 (+ (* -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))))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x y)
(* x y)
(* x y)
(* 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)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* 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 (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* 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 (+ 1 (pow z 2))))
(/ -1 (* x (+ 1 (pow z 2))))
(/ -1 (* x (+ 1 (pow z 2))))
(/ -1 (* x (+ 1 (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)))))
Outputs
(* x y)
(*.f64 y x)
(+ (* x y) (* x (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(+ (* x y) (* x (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(+ (* x y) (* x (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* y z)
(*.f64 z y)
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(*.f64 z y)
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(* y z)
(*.f64 z y)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
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(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 z z #s(literal -1 binary64)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 z y) x) (-.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.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 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 z z #s(literal -1 binary64))))
(* x y)
(*.f64 y x)
(+ (* x y) (* x (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(+ (* x y) (* x (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(+ (* x y) (* x (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
1
#s(literal 1 binary64)
(+ 1 (pow z 2))
(fma.f64 z z #s(literal 1 binary64))
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(pow z 2)
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(pow z 2)
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(* x y)
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(+ (* x y) (* x (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(+ (* x y) (* x (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(+ (* x y) (* x (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
y
(+ y (* y (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(+ y (* y (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(+ y (* y (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 z z #s(literal -1 binary64)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 z y) x) (-.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.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 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 z z #s(literal -1 binary64))))
(/ 1 (* x y))
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(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 z z #s(literal -1 binary64)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 z y) x) (-.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.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 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 z z #s(literal -1 binary64))))
(/ -1 x)
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(- (/ (pow z 2) x) (/ 1 x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal -1 binary64)))
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))
(fma.f64 (/.f64 z x) (-.f64 z (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x))
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x))
(*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal -1 binary64))))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 z z #s(literal -1 binary64)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 z y) x) (-.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.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 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 z z #s(literal -1 binary64))))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 z z #s(literal -1 binary64)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 z y) x) (-.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.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 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 z z #s(literal -1 binary64))))
(* x (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) x)
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) x)) (*.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 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (*.f64 z z))
(* x (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) x)
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
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(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(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))))
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(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
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(pow z 2)
(*.f64 z z)
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(*.f64 z z)
(* x (* y (pow z 2)))
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(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
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(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) x)) (*.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 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (*.f64 z z))
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(* y z)
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(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))

rewrite182.0ms (2.1%)

Memory
8.4MiB live, 243.3MiB allocated
Rules
6 422×lower-fma.f32
6 418×lower-fma.f64
5 212×lower-*.f32
5 200×lower-*.f64
3 184×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028153
046154
1184145
21208145
08453140
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 248
Calls
Call 1
Inputs
(fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x))
(*.f64 z y)
(*.f64 z x)
(*.f64 y x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) x)
(neg.f64 y)
(*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))
#s(approx (+ 1 (* z z)) (*.f64 z z))
(*.f64 z z)
(*.f64 (fma.f64 (*.f64 z y) z y) x)
(fma.f64 (*.f64 z y) z y)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
Outputs
(*.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 y)) #s(literal -1 binary64)) x)
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) y))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y) (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64))) (neg.f64 y))
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 (neg.f64 y) y)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 (neg.f64 y) y)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) y))
(*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) y)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 (*.f64 x y) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) (/.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 x y) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
(*.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y) x) (/.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))
(*.f64 (/.f64 x (pow.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 (neg.f64 y) y)) #s(literal -1 binary64))) (pow.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 x (pow.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) #s(literal -1 binary64)))
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)
(*.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 (neg.f64 y) y)) x) (/.f64 (pow.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 (neg.f64 y) y)) x) (pow.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (pow.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 (neg.f64 y) y))) (pow.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 (neg.f64 y) y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 z z) (neg.f64 y) y))))
(*.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 (neg.f64 y) y))) (pow.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 z z) y) x) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 y)))
(*.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) #s(literal -1 binary64))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 y)) (neg.f64 x))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (neg.f64 y) (/.f64 (fma.f64 z z #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)))
(*.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y) (/.f64 (*.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 z #s(literal 1 binary64))) y) #s(literal 1 binary64))
(*.f64 (*.f64 x y) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 x (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))
(*.f64 y (fma.f64 (*.f64 z z) x x))
(*.f64 y (+.f64 x (*.f64 (*.f64 z z) x)))
(*.f64 y (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(pow.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 (neg.f64 y) y)) x)) (fma.f64 (*.f64 z z) (neg.f64 y) y))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 (neg.f64 y) y)))) (fma.f64 (*.f64 z z) (neg.f64 y) y))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64))))) (neg.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 (neg.f64 y) y))))) (neg.f64 (*.f64 x (fma.f64 (*.f64 z z) (neg.f64 y) y))))
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(neg.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) y) #s(literal 1 binary64)))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) y))
(-.f64 (/.f64 #s(literal 0 binary64) #s(approx (+ 1 (* z z)) (*.f64 z z))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (neg.f64 y))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) y)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) y))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) y))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 x y))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))))

eval234.0ms (2.7%)

Memory
-21.7MiB live, 437.9MiB allocated
Compiler

Compiled 35 000 to 2 684 computations (92.3% saved)

prune64.0ms (0.8%)

Memory
-10.8MiB live, 148.2MiB allocated
Pruning

18 alts after pruning (10 fresh and 8 done)

PrunedKeptTotal
New1 92351 928
Fresh5510
Picked055
Done033
Total1 928181 946
Accuracy
100.0%
Counts
1 946 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.0%
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 y))
88.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
44.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
40.3%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))))
56.3%
(/.f64 #s(approx (/ (/ -1 x) (+ 1 (* z z))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z x) z))) (neg.f64 y))
95.1%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) z) z (*.f64 x y)))
96.9%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x)))
95.4%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 y x)))
88.5%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x))
47.1%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y))
47.8%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
87.4%
#s(approx (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)))
49.7%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal -1/2 binary64)))
51.7%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
58.2%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
52.8%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))))
58.2%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
58.4%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
Compiler

Compiled 342 to 260 computations (24% saved)

simplify116.0ms (1.4%)

Memory
12.7MiB live, 130.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))))
cost-diff448
(/.f64 y (*.f64 (neg.f64 y) y))
cost-diff512
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))))
cost-diff1280
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
cost-diff0
(*.f64 y x)
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-diff0
#s(approx (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)))
cost-diff0
(*.f64 z z)
cost-diff0
#s(approx (+ 1 (* z z)) (*.f64 z z))
cost-diff0
(*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x)
cost-diff0
(*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)
cost-diff0
(neg.f64 x)
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
cost-diff512
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 z y)
cost-diff0
(*.f64 x (*.f64 z y))
cost-diff320
(fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 y x))
Rules
4 730×lower-fma.f32
4 726×lower-fma.f64
3 050×lower-*.f32
3 036×lower-*.f64
1 552×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039237
061223
1121217
2259200
3690200
42331200
55177200
67912200
08063200
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 y x)))
#s(literal 1 binary64)
(fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 y x))
(*.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
(*.f64 y x)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(neg.f64 x)
x
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)
(*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x)
#s(approx (+ 1 (* z z)) (*.f64 z z))
(*.f64 z z)
z
x
y
#s(approx (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/.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 y x)
y
x
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
#s(literal 1 binary64)
(/.f64 y (*.f64 (neg.f64 y) y))
y
(*.f64 (neg.f64 y) y)
(neg.f64 y)
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 y x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) y)
#s(literal 1 binary64)
(fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 y x))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(*.f64 x (*.f64 z y))
(*.f64 (*.f64 y z) x)
x
(*.f64 z y)
(*.f64 y z)
z
y
(*.f64 y x)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(neg.f64 x)
x
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(approx (+ 1 (* z z)) (*.f64 z z)))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)
(*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))
(*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x)
#s(approx (+ 1 (* z z)) (*.f64 z z))
(*.f64 z z)
z
x
y
#s(approx (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) y))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) 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 y x)
y
x
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
(neg.f64 y)
#s(literal 1 binary64)
(/.f64 y (*.f64 (neg.f64 y) y))
(/.f64 #s(literal -1 binary64) y)
y
(*.f64 (neg.f64 y) y)
(neg.f64 y)

localize150.0ms (1.8%)

Memory
-10.9MiB live, 125.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.17578125
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
accuracy0.1953125
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))))
accuracy26.62656539301334
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))))
accuracy30.562012864687233
(/.f64 y (*.f64 (neg.f64 y) y))
accuracy0
(*.f64 y x)
accuracy0
#s(approx (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)))
accuracy0.5451235214225676
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
accuracy7.455547831620529
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
accuracy0.35794227470688295
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y))
accuracy1.2098612743212227
(*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)
accuracy8.76248637194055
(*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x)
accuracy30.273283616203027
#s(approx (+ 1 (* z z)) (*.f64 z z))
accuracy0
(/.f64 #s(literal -1 binary64) y)
accuracy0
(neg.f64 x)
accuracy0.1953125
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
accuracy26.62656539301334
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
accuracy0
(*.f64 y x)
accuracy0.35794227470688295
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 y x)))
accuracy1.0127046676448974
(fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 y x))
accuracy5.547809762746446
(*.f64 x (*.f64 z y))
Samples
94.0ms256×0valid
Compiler

Compiled 197 to 35 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-div: 49.0ms (72.5% of total)
ival-mult: 13.0ms (19.2% of total)
ival-add: 3.0ms (4.4% of total)
ival-neg: 2.0ms (3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series47.0ms (0.6%)

Memory
13.2MiB live, 49.8MiB allocated
Counts
22 → 540
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 y x)) (patch (fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 z y)) (patch (*.f64 x (*.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y) (patch (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) (patch (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* z z)) (*.f64 z z)) (patch #s(approx (+ 1 (* z z)) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))) (patch #s(approx (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))) #<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>) () ())
#s(alt (fma.f64 z z #s(literal 1 binary64)) (patch (fma.f64 z z #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))) #<representation binary64>) () ())
#s(alt (/.f64 y (*.f64 (neg.f64 y) y)) (patch (/.f64 y (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 y x)) (patch (fma.f64 (*.f64 x (*.f64 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 x (*.f64 z y)) z (*.f64 y x)) (patch (fma.f64 (*.f64 x (*.f64 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 x (*.f64 z y)) z (*.f64 y x)) (patch (fma.f64 (*.f64 x (*.f64 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 x (*.f64 z y)) z (*.f64 y x)) (patch (fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (*.f64 x (*.f64 z y)) (patch (*.f64 x (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (*.f64 x (*.f64 z y)) (patch (*.f64 x (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (*.f64 x (*.f64 z y)) (patch (*.f64 x (*.f64 z y)) #<representation binary64>) () ())) ())
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#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) 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 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)) #<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 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)) #<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 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)) #<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 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
13.0ms
y
@inf
((+ (* (* x (* z y)) z) (* y x)) (* x (* z y)) (* z y) (* y x) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (* (* (+ 1 (* z z)) x) y) (* (+ 1 (* z z)) x) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/ 1 (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (/ y (* (neg y) y))) (/ (/ -1 x) (/ 1 (/ y (* (neg y) y)))) (/ y (* (neg y) y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (+ (* (* x (* z y)) z) (* y x))) (/ 1 (* (* (+ 1 (* z z)) x) y)) (/ (/ 1 (+ (* z z) 1)) (* y x)))
3.0ms
x
@-inf
((+ (* (* x (* z y)) z) (* y x)) (* x (* z y)) (* z y) (* y x) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (* (* (+ 1 (* z z)) x) y) (* (+ 1 (* z z)) x) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/ 1 (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (/ y (* (neg y) y))) (/ (/ -1 x) (/ 1 (/ y (* (neg y) y)))) (/ y (* (neg y) y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (+ (* (* x (* z y)) z) (* y x))) (/ 1 (* (* (+ 1 (* z z)) x) y)) (/ (/ 1 (+ (* z z) 1)) (* y x)))
3.0ms
y
@-inf
((+ (* (* x (* z y)) z) (* y x)) (* x (* z y)) (* z y) (* y x) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (* (* (+ 1 (* z z)) x) y) (* (+ 1 (* z z)) x) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/ 1 (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (/ y (* (neg y) y))) (/ (/ -1 x) (/ 1 (/ y (* (neg y) y)))) (/ y (* (neg y) y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (+ (* (* x (* z y)) z) (* y x))) (/ 1 (* (* (+ 1 (* z z)) x) y)) (/ (/ 1 (+ (* z z) 1)) (* y x)))
2.0ms
x
@inf
((+ (* (* x (* z y)) z) (* y x)) (* x (* z y)) (* z y) (* y x) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (* (* (+ 1 (* z z)) x) y) (* (+ 1 (* z z)) x) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/ 1 (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (/ y (* (neg y) y))) (/ (/ -1 x) (/ 1 (/ y (* (neg y) y)))) (/ y (* (neg y) y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (+ (* (* x (* z y)) z) (* y x))) (/ 1 (* (* (+ 1 (* z z)) x) y)) (/ (/ 1 (+ (* z z) 1)) (* y x)))
2.0ms
y
@0
((+ (* (* x (* z y)) z) (* y x)) (* x (* z y)) (* z y) (* y x) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (* (* (+ 1 (* z z)) x) y) (* (+ 1 (* z z)) x) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/ 1 (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (/ y (* (neg y) y))) (/ (/ -1 x) (/ 1 (/ y (* (neg y) y)))) (/ y (* (neg y) y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (+ (* (* x (* z y)) z) (* y x))) (/ 1 (* (* (+ 1 (* z z)) x) y)) (/ (/ 1 (+ (* z z) 1)) (* y x)))

simplify188.0ms (2.2%)

Memory
3.0MiB live, 159.8MiB allocated
Algorithm
egg-herbie
Rules
6 660×lower-fma.f64
6 660×lower-fma.f32
3 228×lower-*.f64
3 228×lower-*.f32
2 210×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0964950
12824936
27584884
327004784
468534784
080314528
Stop Event
iter limit
node limit
Counts
540 → 539
Calls
Call 1
Inputs
(* 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 z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(/ 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)))
(* x y)
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
x
(+ x (* x (pow z 2)))
(+ x (* x (pow z 2)))
(+ x (* x (pow z 2)))
1
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(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
(+ 1 (* -1 (pow z 2)))
(+ 1 (* (pow z 2) (- (pow z 2) 1)))
(+ 1 (* (pow z 2) (- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1)))
1
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(+ 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))
(+ (* -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))
(+ (* -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))
(+ (* -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)))
(* 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 z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(/ 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 (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 (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))))
(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)
(pow z 2)
(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 (pow z 2))
(/ (- 1 (/ 1 (pow z 2))) (pow z 2))
(/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2))
(/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (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 (* 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 (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 (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 z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(/ 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 (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 (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))))
(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)
(pow z 2)
(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 (pow z 2))
(/ (- 1 (/ 1 (pow z 2))) (pow z 2))
(/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2))
(/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (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 (* 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 (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))
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(/ (- (/ 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))
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
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(* x (* y z))
(* x (* y z))
(* x (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* x y)
(* x y)
(* x y)
(* 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 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* 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 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ 1 (* x y))
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(/ 1 (* x y))
(/ 1 (* x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 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 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
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(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
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(* y (+ x (* x (pow z 2))))
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(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* x y)
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(* x y)
(* 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 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* 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 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 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)))))
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(/ 1 (* y (+ x (* x (pow z 2)))))
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(/ 1 (* x (* y (+ 1 (pow z 2)))))
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(/ 1 (* x (* y (+ 1 (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 z))
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(* x y)
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(/ 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 y)
(/ -1 y)
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(/ -1 y)
(* x (* y (+ 1 (pow z 2))))
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(/ 1 (* x (* y (+ 1 (pow z 2)))))
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(/ 1 (* x (* y (+ 1 (pow z 2)))))
(* -1 y)
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(* -1 y)
(/ 1 (* x y))
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(/ -1 y)
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(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
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(/ -1 (* y (+ (* -1 x) (* -1 (* 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)))))
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(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* 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)
(* -1 x)
(* -1 x)
(* -1 x)
(* 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 (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 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 (* 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 (* 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)))))
(* 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 z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* 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)
(* -1 x)
(* -1 x)
(* -1 x)
(* 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 (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 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 (* 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 (* 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 (+ (* -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))))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* 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)
(* -1 x)
(* -1 x)
(* -1 x)
(* 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 (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 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 (* 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 (+ (* -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)))))
Outputs
(* x y)
(*.f64 y x)
(+ (* x y) (* x (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(+ (* x y) (* x (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(+ (* x y) (* x (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y z))
(*.f64 (*.f64 z y) x)
(* x (* y z))
(*.f64 (*.f64 z y) x)
(* x (* y z))
(*.f64 (*.f64 z y) x)
(* x (* y z))
(*.f64 (*.f64 z y) x)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.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 y) x) (-.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.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 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(* x y)
(*.f64 y x)
(+ (* x y) (* x (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(+ (* x y) (* x (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(+ (* x y) (* x (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
x
(+ x (* x (pow z 2)))
(fma.f64 (*.f64 z z) x x)
(+ x (* x (pow z 2)))
(fma.f64 (*.f64 z z) x x)
(+ x (* x (pow z 2)))
(fma.f64 (*.f64 z z) x x)
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)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.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 y) x) (-.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.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 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow z 2)))
(-.f64 #s(literal 1 binary64) (*.f64 z z))
(+ 1 (* (pow z 2) (- (pow z 2) 1)))
(-.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64)))
(+ 1 (* (pow z 2) (- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1)))
(*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.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))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.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 y) x) (-.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.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 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.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 y) x) (-.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.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 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.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 y) x) (-.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.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 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.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 y) x) (-.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.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 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(* x (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) x)
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y z))
(*.f64 (*.f64 z y) x)
(* x (* y z))
(*.f64 (*.f64 z y) x)
(* x (* y z))
(*.f64 (*.f64 z y) x)
(* x (* y z))
(*.f64 (*.f64 z y) x)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))
(/ (- (/ 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 (*.f64 (*.f64 z z) y) x))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (pow.f64 z #s(literal 4 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) (*.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 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (pow.f64 z #s(literal 4 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (*.f64 z z))
(* x (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) x)
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (pow z 2))
(*.f64 (*.f64 z z) x)
(* (pow z 2) (+ x (/ x (pow z 2))))
(fma.f64 (*.f64 z z) x x)
(* (pow z 2) (+ x (/ x (pow z 2))))
(fma.f64 (*.f64 z z) x x)
(* (pow z 2) (+ x (/ x (pow z 2))))
(fma.f64 (*.f64 z z) x x)
(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)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))
(/ (- (/ 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 (*.f64 (*.f64 z z) y) x))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (pow.f64 z #s(literal 4 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) (*.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 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (pow.f64 z #s(literal 4 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (*.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ (- 1 (/ 1 (pow z 2))) (pow z 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) z) z)
(/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64))) (*.f64 z z))
(/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) z) z)) (*.f64 z z))
(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 (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))
(/ (- (/ 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 (*.f64 (*.f64 z z) y) x))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (pow.f64 z #s(literal 4 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) (*.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 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (pow.f64 z #s(literal 4 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (*.f64 z z))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))
(/ (- (/ 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 (*.f64 (*.f64 z z) y) x))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (pow.f64 z #s(literal 4 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) (*.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 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (pow.f64 z #s(literal 4 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (*.f64 z z))
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(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y z))
(*.f64 (*.f64 z y) x)
(* x (* y z))
(*.f64 (*.f64 z y) x)
(* x (* y z))
(*.f64 (*.f64 z y) x)
(* x (* y z))
(*.f64 (*.f64 z y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (+ 1 (pow z 2)))
(fma.f64 (*.f64 z z) x x)
(* x (+ 1 (pow z 2)))
(fma.f64 (*.f64 z z) x x)
(* x (+ 1 (pow z 2)))
(fma.f64 (*.f64 z z) x x)
(* x (+ 1 (pow z 2)))
(fma.f64 (*.f64 z z) x x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))

rewrite271.0ms (3.2%)

Memory
-3.9MiB live, 188.4MiB allocated
Rules
4 316×lower-fma.f32
4 312×lower-fma.f64
4 154×lower-/.f32
4 134×lower-/.f64
3 606×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039206
061186
1243173
21596169
08329169
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 159
Calls
Call 1
Inputs
(fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 y x))
(*.f64 x (*.f64 z y))
(*.f64 z y)
(*.f64 y x)
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) y)
(neg.f64 x)
(*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)
(*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x)
#s(approx (+ 1 (* z z)) (*.f64 z z))
(*.f64 z z)
#s(approx (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(fma.f64 z z #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))))
(/.f64 y (*.f64 (neg.f64 y) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
Outputs
(*.f64 (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y z) x) z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))
(*.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y x) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (pow.f64 (*.f64 (*.f64 (*.f64 y z) x) z) #s(literal 2 binary64))))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y z) x) z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x) (neg.f64 y))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y z) x) z) x) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 y x) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (pow.f64 (*.f64 (*.f64 (*.f64 y z) x) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 y) x) (-.f64 #s(literal -1 binary64) (*.f64 z z)))
(*.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y)) #s(literal -1 binary64))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y) (neg.f64 x))
(*.f64 (neg.f64 y) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y)))
(*.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal 1 binary64))
(*.f64 (*.f64 y x) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 y (fma.f64 z (*.f64 z x) x))
(*.f64 y (+.f64 x (*.f64 z (*.f64 z x))))
(*.f64 y (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(*.f64 x (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))
(pow.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (+.f64 z #s(literal 1 binary64))) (-.f64 z #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y z) x) z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) x))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) x))) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) x))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))
(/.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) x))) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)))
(/.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y z) x) z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (pow.f64 (*.f64 (*.f64 (*.f64 y z) x) z) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)))
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) x) y) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) x) y) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) x) y) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))
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(+.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y z) x) z) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (*.f64 (*.f64 y x) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))))
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal -1 binary64)))

eval350.0ms (4.1%)

Memory
-11.8MiB live, 255.6MiB allocated
Compiler

Compiled 30 525 to 3 468 computations (88.6% saved)

prune111.0ms (1.3%)

Memory
11.6MiB live, 137.2MiB allocated
Pruning

19 alts after pruning (9 fresh and 10 done)

PrunedKeptTotal
New1 76761 773
Fresh235
Picked325
Done088
Total1 772191 791
Accuracy
100.0%
Counts
1 791 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.6%
(fma.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y z) x) z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 y z) x) z) (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y z) x) z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 y) x)))
47.0%
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 y))
88.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
44.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
40.3%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))))
56.3%
(/.f64 #s(approx (/ (/ -1 x) (+ 1 (* z z))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z x) z))) (neg.f64 y))
97.9%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z x) y) z (*.f64 y x)))
96.9%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x)))
88.5%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x))
47.1%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y))
47.8%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
97.6%
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z (*.f64 z x) x)))
47.8%
#s(approx (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) 1) (*.f64 z z))) (*.f64 y x)))
51.7%
#s(approx (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y x)))
49.7%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal -1/2 binary64)))
58.2%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
58.2%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
50.7%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 x (*.f64 y y))))
58.4%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
Compiler

Compiled 747 to 328 computations (56.1% saved)

regimes108.0ms (1.3%)

Memory
18.5MiB live, 136.6MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 x (*.f64 y y))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z (*.f64 z x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z 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 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
#s(approx (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) 1) (*.f64 z z))) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) z) z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z x) y) z (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
#s(approx (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 #s(approx (/ (/ -1 x) (+ 1 (* z z))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z x) z))) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 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) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (fma.f64 (*.f64 z y) z y) #s(literal -1 binary64)) x)
(pow.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) x) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y z) x) z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 y z) x) z) (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y z) x) z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 y) x)))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z x) y) z (*.f64 y x)))
Calls

8 calls:

24.0ms
z
16.0ms
(/.f64 #s(literal 1 binary64) x)
16.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
11.0ms
x
10.0ms
y
Results
AccuracySegmentsBranch
97.9%1x
97.9%1y
97.9%1z
97.9%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
97.9%1(/.f64 #s(literal 1 binary64) x)
97.9%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
97.9%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
97.9%1(*.f64 z z)
Compiler

Compiled 32 to 40 computations (-25% saved)

regimes152.0ms (1.8%)

Memory
1.5MiB live, 79.2MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 x (*.f64 y y))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z (*.f64 z x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z 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 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
#s(approx (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) 1) (*.f64 z z))) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 z x) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) z) z (*.f64 x y)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z (*.f64 z x) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 y x)))
Calls

8 calls:

102.0ms
z
15.0ms
(/.f64 #s(literal 1 binary64) x)
6.0ms
x
6.0ms
y
6.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
97.6%1x
99.4%2y
97.6%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
97.6%1(/.f64 #s(literal 1 binary64) x)
97.6%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
97.6%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
97.6%1(*.f64 z z)
99.4%2z
Compiler

Compiled 32 to 40 computations (-25% saved)

regimes33.0ms (0.4%)

Memory
-31.6MiB live, 48.4MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 x (*.f64 y y))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z (*.f64 z x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z 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 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
#s(approx (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) 1) (*.f64 z z))) (*.f64 y x)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z (*.f64 z x) x)))
Calls

5 calls:

9.0ms
z
7.0ms
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
5.0ms
(/.f64 #s(literal 1 binary64) x)
5.0ms
y
5.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
97.6%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
97.6%1(/.f64 #s(literal 1 binary64) x)
97.6%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
97.6%1y
97.6%1z
Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes30.0ms (0.4%)

Memory
5.7MiB live, 44.2MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 x (*.f64 y y))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y))
Outputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y))
Calls

8 calls:

5.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
4.0ms
z
4.0ms
(/.f64 #s(literal 1 binary64) x)
4.0ms
x
3.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
62.6%3x
87.9%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
87.9%2(*.f64 z z)
60.0%2y
87.9%2z
74.0%2(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
62.6%3(/.f64 #s(literal 1 binary64) x)
77.8%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Compiler

Compiled 32 to 40 computations (-25% saved)

regimes10.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 x (*.f64 y y))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
Outputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
Calls

3 calls:

3.0ms
z
3.0ms
(*.f64 z z)
3.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
86.9%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
86.9%2(*.f64 z z)
86.9%2z
Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes10.0ms (0.1%)

Memory
-23.3MiB live, 15.2MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 x (*.f64 y y))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
Outputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
Calls

3 calls:

5.0ms
z
2.0ms
(*.f64 z z)
2.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
85.0%2z
85.0%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
85.0%2(*.f64 z z)
Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes12.0ms (0.1%)

Memory
24.9MiB live, 24.9MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 x (*.f64 y y))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (/ (/ -1 x) (+ 1 (* z z))) (neg y)) (/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y x)))
Outputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 x (*.f64 y y))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
Calls

5 calls:

3.0ms
z
2.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
2.0ms
(*.f64 z z)
2.0ms
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
2.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
68.8%2(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
68.6%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
68.7%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
68.7%2(*.f64 z z)
68.7%2z
Compiler

Compiled 27 to 29 computations (-7.4% saved)

regimes12.0ms (0.1%)

Memory
-20.4MiB live, 17.0MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 x (*.f64 y y))))
Outputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 x (*.f64 y y))))
Calls

5 calls:

6.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
1.0ms
z
1.0ms
(*.f64 z z)
1.0ms
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
1.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
68.5%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
68.5%2z
68.5%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
68.5%2(*.f64 z z)
68.5%2(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Compiler

Compiled 27 to 29 computations (-7.4% saved)

regimes10.0ms (0.1%)

Memory
27.6MiB live, 27.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

8 calls:

1.0ms
(/.f64 #s(literal 1 binary64) x)
1.0ms
z
1.0ms
y
1.0ms
x
1.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
58.4%1y
58.4%1x
58.4%1(/.f64 #s(literal 1 binary64) x)
58.4%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
58.4%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
58.4%1z
58.4%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
58.4%1(*.f64 z z)
Compiler

Compiled 32 to 40 computations (-25% saved)

bsearch20.0ms (0.2%)

Memory
-40.3MiB live, 14.2MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
19.0ms
5.66060947458392e+245
4.691133739678176e+255
Samples
16.0ms80×0valid
Compiler

Compiled 124 to 110 computations (11.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 13.0ms (92.8% of total)
ival-mult: 1.0ms (7.1% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory
19.4MiB live, 19.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
1.2895472088875348e-5
2.907600446831522
Samples
8.0ms144×0valid
Compiler

Compiled 167 to 186 computations (-11.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (45.2% of total)
ival-mult: 2.0ms (45.2% of total)
ival-add: 1.0ms (22.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.2895472088875348e-5
2.907600446831522
Compiler

Compiled 167 to 186 computations (-11.4% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.2895472088875348e-5
2.907600446831522
Compiler

Compiled 167 to 186 computations (-11.4% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.6942664e-317
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch29.0ms (0.3%)

Memory
-23.0MiB live, 14.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
8.425652277059053e+85
2.0320422265379573e+90
Samples
6.0ms128×0valid
Compiler

Compiled 126 to 143 computations (-13.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 2.0ms (64.6% of total)
ival-add: 1.0ms (32.3% of total)
ival-mult: 1.0ms (32.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify60.0ms (0.7%)

Memory
9.1MiB live, 48.4MiB allocated
Algorithm
egg-herbie
Rules
34×*-commutative-binary64-*.f64
12×+-commutative-binary64-+.f64
10×neg-sub0-binary64--.f64-neg.f64
10×neg-mul-1-binary64-*.f64-neg.f64
10×sub-neg-binary64-neg.f64-+.f64--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060275
180275
286275
395275
4102275
5106275
6108275
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z x) y) z (*.f64 y x)))
(if (<=.f64 z #s(literal 1000000000000000068586051851782051496707094173312964986690823395758019319873877212752887919376339615844485246833229637697374894798906086114728229966183096349571541470619505010400634769445777943389257468521053221467463131958534128550160206370177024 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z (*.f64 z x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z (*.f64 z x) x)))
(if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)))
(if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))))
(if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x))))
(if (<=.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 0 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 x (*.f64 y y)))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))))
(if (<=.f64 (*.f64 z z) #s(literal 259999999999999976196995372813211838313187727736708505608002915982600834055201640939520 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 x (*.f64 y y)))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z x) y) z (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 x z)) z (*.f64 y x)))
(if (<=.f64 z #s(literal 1000000000000000068586051851782051496707094173312964986690823395758019319873877212752887919376339615844485246833229637697374894798906086114728229966183096349571541470619505010400634769445777943389257468521053221467463131958534128550160206370177024 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z (*.f64 z x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 y x))))
(if (<=.f64 z #s(literal 1000000000000000068586051851782051496707094173312964986690823395758019319873877212752887919376339615844485246833229637697374894798906086114728229966183096349571541470619505010400634769445777943389257468521053221467463131958534128550160206370177024 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 x z) x) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y z) x) z (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z (*.f64 z x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 x z) x) y))
(if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)))
(if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))))
(if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x))))
(if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))))
(if (<=.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 0 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 x (*.f64 y y)))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))))
(if (<=.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 (*.f64 z z) #s(literal 1 binary64)) y)) #s(literal 0 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 (*.f64 y y) x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))))
(if (<=.f64 (*.f64 z z) #s(literal 259999999999999976196995372813211838313187727736708505608002915982600834055201640939520 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 x (*.f64 y y)))))
(if (<=.f64 (*.f64 z z) #s(literal 259999999999999976196995372813211838313187727736708505608002915982600834055201640939520 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 (*.f64 y y) x))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

soundness1.3s (15.1%)

Memory
17.0MiB live, 862.5MiB allocated
Rules
18 180×lower-fma.f64
18 180×lower-fma.f32
6 422×lower-fma.f32
6 418×lower-fma.f64
5 524×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029139
047133
1186133
21178133
08284133
028153
046154
1184145
21208145
08453140
052814
1135812
2390807
31474790
43968754
57660754
08222693
039206
061186
1243173
21596169
08329169
0929
01429
15829
236029
3275029
0907326
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 675 to 388 computations (42.5% saved)

preprocess435.0ms (5.1%)

Memory
-17.0MiB live, 545.2MiB allocated
Compiler

Compiled 1 084 to 550 computations (49.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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