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

Time bar (total: 10.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze93.0ms (0.9%)

Memory
22.9MiB live, 104.7MiB 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)

sample1.6s (16.3%)

Memory
-127.1MiB live, 1 237.9MiB allocated
Samples
742.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 503.0ms
ival-mult: 327.0ms (65% of total)
ival-div: 123.0ms (24.4% of total)
ival-add: 39.0ms (7.7% of total)
ival-true: 6.0ms (1.2% of total)
exact: 5.0ms (1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain188.0ms (1.9%)

Memory
-16.7MiB live, 181.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
180-0-(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
140-0-(/.f64 (/.f64 #s(literal 1 binary64) x) (*.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 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))n*o180
/.f64(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))n/o140
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))overflow57
(+.f64 #s(literal 1 binary64) (*.f64 z z))overflow57
(*.f64 z z)overflow57
Confusion
Predicted +Predicted -
+270
-5224
Precision
0.84375
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2700
-50224
Precision?
0.84375
Recall?
1.0
Freqs
test
numberfreq
0224
132
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
35.0ms512×0valid
Compiler

Compiled 114 to 40 computations (64.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 7.0ms (38.6% of total)
ival-mult: 7.0ms (38.6% of total)
ival-add: 3.0ms (16.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess347.0ms (3.4%)

Memory
18.7MiB live, 88.5MiB allocated
Algorithm
egg-herbie
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
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.7%
(/.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)

simplify9.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB 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))
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

localize80.0ms (0.8%)

Memory
-21.9MiB live, 40.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 #s(literal 1 binary64) (*.f64 z z))
accuracy0
(*.f64 z z)
accuracy2.1669050279451896
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
accuracy5.664516951551175
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Samples
53.0ms256×0valid
Compiler

Compiled 68 to 20 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 6.0ms (45.4% of total)
ival-mult: 5.0ms (37.8% of total)
ival-add: 2.0ms (15.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series52.0ms (0.5%)

Memory
-20.4MiB live, 17.2MiB 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>) () ())) ())
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#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
42.0ms
y
@-inf
((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z))
2.0ms
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
y
@inf
((+ 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))

simplify176.0ms (1.7%)

Memory
36.1MiB live, 258.3MiB allocated
Algorithm
egg-herbie
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)

rewrite373.0ms (3.7%)

Memory
-0.0MiB live, 306.5MiB allocated
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
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eval139.0ms (1.4%)

Memory
-19.7MiB live, 202.2MiB allocated
Compiler

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

prune24.0ms (0.2%)

Memory
0.7MiB live, 77.8MiB allocated
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New51418532
Fresh000
Picked101
Done000
Total51518533
Accuracy
95.7%
Counts
533 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.0%
(pow.f64 (pow.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
92.0%
(/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y)
92.0%
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
91.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
48.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
57.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))))
87.7%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x))
34.8%
(/.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)))))
40.4%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) y))
87.2%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
88.2%
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
87.5%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
89.0%
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))))
91.9%
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
52.3%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
48.6%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
57.5%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
21.8%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.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))))
Compiler

Compiled 478 to 362 computations (24.3% saved)

simplify266.0ms (2.6%)

Memory
1.9MiB live, 124.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff192
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) y))
cost-diff320
(*.f64 #s(literal 0 binary64) y)
cost-diff384
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
cost-diff1856
(*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
cost-diff0
(neg.f64 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 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
cost-diff0
#s(approx (+ 1 (* z z)) #s(literal 1 binary64))
cost-diff0
(*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))))
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
(fma.f64 z z #s(literal 1 binary64))
cost-diff0
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
cost-diff0
(pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64))
cost-diff5376
(/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y)
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035240
057211
1133204
2399204
32649184
46663184
08250184
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y)
(pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
x
(fma.f64 z z #s(literal 1 binary64))
z
#s(literal 1 binary64)
#s(literal -1 binary64)
y
#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 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64)))
y
#s(approx (+ 1 (* z z)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
#s(literal -1 binary64)
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
y
(fma.f64 z z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(neg.f64 x)
x
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) y))
(-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 #s(literal 0 binary64) y)
#s(literal 0 binary64)
y
(*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))
(neg.f64 y)
(fma.f64 z z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) y)
Outputs
(/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
x
(fma.f64 z z #s(literal 1 binary64))
z
#s(literal 1 binary64)
#s(literal -1 binary64)
y
#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) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
#s(literal 1 binary64)
(*.f64 y x)
y
x
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (* z z)) #s(literal 1 binary64))) (*.f64 y x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64)))
(*.f64 #s(approx (+ 1 (* z z)) #s(literal 1 binary64)) y)
y
#s(approx (+ 1 (* z z)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
#s(literal -1 binary64)
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
y
(fma.f64 z z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(neg.f64 x)
x
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (neg.f64 y) x)
(*.f64 #s(literal 0 binary64) y)
#s(literal 0 binary64)
#s(literal 0 binary64)
y
(*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 y x)
(*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y)
(neg.f64 y)
(fma.f64 z z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) y)
(*.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) (*.f64 z z)))

localize214.0ms (2.1%)

Memory
11.4MiB live, 123.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy2.1669050279451896
(*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))
accuracy6.928864956561689
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
accuracy13.939675730244247
(*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
accuracy24.9453870220451
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) y))
accuracy0
(neg.f64 x)
accuracy0.7043352652418325
(/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
accuracy2.1669050279451896
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
accuracy4.932437384459945
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x))
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy2.1669050279451896
(*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64)))
accuracy5.664516951551175
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))))
accuracy32.99279252121236
#s(approx (+ 1 (* z z)) #s(literal 1 binary64))
accuracy0
(*.f64 y x)
accuracy0.6356603145569807
(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy27.014006451797115
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
accuracy0
(fma.f64 z z #s(literal 1 binary64))
accuracy0.2842804207205635
(pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64))
accuracy0.40356850126012406
(/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y)
accuracy6.707689581346828
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
Samples
58.0ms256×0valid
Compiler

Compiled 463 to 62 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 17.0ms (43.2% of total)
ival-div: 13.0ms (33.1% of total)
ival-add: 3.0ms (7.6% of total)
ival-pow: 3.0ms (7.6% of total)
ival-neg: 2.0ms (5.1% of total)
ival-sub: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series41.0ms (0.4%)

Memory
0.4MiB live, 71.3MiB allocated
Counts
20 → 492
Calls
Call 1
Inputs
#s(alt (/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y) (patch (/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 z z #s(literal 1 binary64)) (patch (fma.f64 z z #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 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 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* 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 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))) (patch (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* z z)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* z z)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #<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 (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))) #<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 0 binary64) y) (patch (*.f64 #s(literal 0 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) y)) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) y)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y) (patch (/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y) (patch (/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) 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 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y) (patch (/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) 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 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y) (patch (/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 z) (#s(alt (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) x)) (/ 1 x)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow z 2))) (taylor 0 z) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow z 2))) (taylor 0 z) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow z 2))) (taylor 0 z) (#s(alt (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 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 #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 (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* 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) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* 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) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* 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) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))) (patch (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))) (patch (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))) (patch (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))) (patch (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (+ 1 (* z z)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* z z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
6.0ms
y
@inf
((/ (pow (* x (+ (* z z) 1)) -1) y) (pow (* x (+ (* z z) 1)) -1) (* x (+ (* z z) 1)) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (/ -1 (* y (+ (* z z) 1))) (* y (+ (* z z) 1)) (neg x) (* (* (neg y) (+ (* z z) 1)) (/ (/ -1 x) (+ (* z z) 1))) (/ (/ -1 x) (+ (* z z) 1)) (* 0 y) (/ (- (* 0 y) (* (* (neg y) (+ (* z z) 1)) (/ (/ -1 x) (+ (* z z) 1)))) (* (* (neg y) (+ (* z z) 1)) y)) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)) (* (neg y) (+ (* z z) 1)))
3.0ms
z
@inf
((/ (pow (* x (+ (* z z) 1)) -1) y) (pow (* x (+ (* z z) 1)) -1) (* x (+ (* z z) 1)) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (/ -1 (* y (+ (* z z) 1))) (* y (+ (* z z) 1)) (neg x) (* (* (neg y) (+ (* z z) 1)) (/ (/ -1 x) (+ (* z z) 1))) (/ (/ -1 x) (+ (* z z) 1)) (* 0 y) (/ (- (* 0 y) (* (* (neg y) (+ (* z z) 1)) (/ (/ -1 x) (+ (* z z) 1)))) (* (* (neg y) (+ (* z z) 1)) y)) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)) (* (neg y) (+ (* z z) 1)))
3.0ms
x
@-inf
((/ (pow (* x (+ (* z z) 1)) -1) y) (pow (* x (+ (* z z) 1)) -1) (* x (+ (* z z) 1)) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (/ -1 (* y (+ (* z z) 1))) (* y (+ (* z z) 1)) (neg x) (* (* (neg y) (+ (* z z) 1)) (/ (/ -1 x) (+ (* z z) 1))) (/ (/ -1 x) (+ (* z z) 1)) (* 0 y) (/ (- (* 0 y) (* (* (neg y) (+ (* z z) 1)) (/ (/ -1 x) (+ (* z z) 1)))) (* (* (neg y) (+ (* z z) 1)) y)) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)) (* (neg y) (+ (* z z) 1)))
3.0ms
y
@-inf
((/ (pow (* x (+ (* z z) 1)) -1) y) (pow (* x (+ (* z z) 1)) -1) (* x (+ (* z z) 1)) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (/ -1 (* y (+ (* z z) 1))) (* y (+ (* z z) 1)) (neg x) (* (* (neg y) (+ (* z z) 1)) (/ (/ -1 x) (+ (* z z) 1))) (/ (/ -1 x) (+ (* z z) 1)) (* 0 y) (/ (- (* 0 y) (* (* (neg y) (+ (* z z) 1)) (/ (/ -1 x) (+ (* z z) 1)))) (* (* (neg y) (+ (* z z) 1)) y)) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)) (* (neg y) (+ (* z z) 1)))
2.0ms
x
@0
((/ (pow (* x (+ (* z z) 1)) -1) y) (pow (* x (+ (* z z) 1)) -1) (* x (+ (* z z) 1)) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (/ -1 (* y (+ (* z z) 1))) (* y (+ (* z z) 1)) (neg x) (* (* (neg y) (+ (* z z) 1)) (/ (/ -1 x) (+ (* z z) 1))) (/ (/ -1 x) (+ (* z z) 1)) (* 0 y) (/ (- (* 0 y) (* (* (neg y) (+ (* z z) 1)) (/ (/ -1 x) (+ (* z z) 1)))) (* (* (neg y) (+ (* z z) 1)) y)) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)) (* (neg y) (+ (* z z) 1)))

simplify289.0ms (2.9%)

Memory
13.2MiB live, 267.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01284759
13574724
29914650
335564491
081854212
Stop Event
iter limit
node limit
Counts
492 → 489
Calls
Call 1
Inputs
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x
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1
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(/ -1 (* x (+ 1 (pow z 2))))
(/ -1 (* x (+ 1 (pow z 2))))
(/ -1 (* 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 (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 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(/ 1 (* x (* 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)
(* 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)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ -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 (+ 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
(/ 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 #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) (fma.f64 z #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ (pow z 2) x)) (/ 1 x))
(*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))
(fma.f64 (/.f64 z x) (fma.f64 z #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(*.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 #s(literal 1 binary64) x)))
x
(+ x (* x (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(+ x (* x (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(+ x (* x (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) 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))
(/ 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 #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) (fma.f64 z #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.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 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 z y) x) (fma.f64 z #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
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
#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 y)
(/.f64 #s(literal -1 binary64) y)
(- (/ (pow z 2) y) (/ 1 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z z #s(literal -1 binary64)))
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))
(fma.f64 (/.f64 z y) (-.f64 z (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y))
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))) (/ 1 y))
(*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (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)
(+ y (* y (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (/ (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 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 z y) x) (fma.f64 z #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.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 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 z y) x) (fma.f64 z #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(* -1 y)
(neg.f64 y)
(+ (* -1 y) (* -1 (* y (pow z 2))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y)
(+ (* -1 y) (* -1 (* y (pow z 2))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y)
(+ (* -1 y) (* -1 (* y (pow z 2))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z 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 (/.f64 (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) z) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 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 (-.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (*.f64 z z))
(/ 1 (* x (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 z z))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) x))) (*.f64 z z))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
(/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 6 binary64)) x))) (*.f64 z z))
(* x (pow z 2))
(*.f64 (*.f64 z z) x)
(* (pow z 2) (+ x (/ x (pow z 2))))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(* (pow z 2) (+ x (/ x (pow z 2))))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(* (pow z 2) (+ x (/ x (pow z 2))))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) 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))
(/ 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 (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) z) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 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 (-.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 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 (/.f64 (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) z) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 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 (-.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (*.f64 z z))
(* 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)
(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 (* y (pow z 2)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) y))
(/ (- (/ 1 (* y (pow z 2))) (/ 1 y)) (pow z 2))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z))
(/ (- (/ 1 (* y (pow z 2))) (+ (/ 1 y) (/ 1 (* y (pow z 4))))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z))) (*.f64 z z))
(/ (- (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6)))) (+ (/ 1 y) (/ 1 (* y (pow z 4))))) (pow z 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 6 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) y)) (/.f64 #s(literal 1 binary64) y))) (*.f64 z z))
(* 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)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ -1 (* x (pow z 2)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x))
(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x))) (*.f64 z z))
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) x)))) (*.f64 z z))
(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 6 binary64)) x)) (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) 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 (/.f64 (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) z) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 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 (-.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 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))
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(/ 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))
(/ 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)
(/.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)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #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 (+ 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))

rewrite201.0ms (2%)

Memory
3.5MiB live, 261.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035176
057149
1245146
21769146
08844146
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 664
Calls
Call 1
Inputs
(/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y)
(pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(fma.f64 z z #s(literal 1 binary64))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 y x)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) x)
(*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64)))
#s(approx (+ 1 (* z z)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(neg.f64 x)
(*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 #s(literal 0 binary64) y)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) y))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x))
(*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))
Outputs
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eval457.0ms (4.5%)

Memory
6.0MiB live, 781.9MiB allocated
Compiler

Compiled 67 893 to 4 667 computations (93.1% saved)

prune235.0ms (2.3%)

Memory
-2.5MiB live, 189.6MiB allocated
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New2 59492 603
Fresh6713
Picked415
Done000
Total2 604172 621
Accuracy
99.2%
Counts
2 621 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.0%
(pow.f64 (pow.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
99.0%
(/.f64 (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) y)
91.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
48.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
91.1%
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y z) z y)) (neg.f64 x))
61.7%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (neg.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64))))
34.8%
(/.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)))))
56.6%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) #s(approx (* (* (neg y) (+ (* z z) 1)) (/ (/ -1 x) (+ (* z z) 1))) (/.f64 y x))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) y))
52.8%
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) y)
57.7%
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
57.7%
(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
87.2%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
90.8%
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x) y))
88.2%
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
48.6%
#s(approx (/ (pow (* x (+ (* z z) 1)) -1) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x)))
52.3%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
57.5%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
Compiler

Compiled 406 to 317 computations (21.9% saved)

simplify134.0ms (1.3%)

Memory
-19.9MiB live, 131.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))
cost-diff256
(*.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))))
cost-diff320
(-.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))))
cost-diff1472
(*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) 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-6144
(/.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-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
cost-diff0
(*.f64 x z)
cost-diff0
(fma.f64 (*.f64 x z) z x)
cost-diff0
(pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64))
cost-diff0
(/.f64 (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) y)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034255
056202
1132202
2436200
32943200
46693200
08157200
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) y)
(pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64))
(fma.f64 (*.f64 x z) z x)
(*.f64 x z)
x
z
#s(literal -1 binary64)
y
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
#s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(/.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 (*.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)))))
(-.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 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
#s(literal 0 binary64)
(*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(fma.f64 z z #s(literal 1 binary64))
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))))
Outputs
(/.f64 (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) y)
(/.f64 (pow.f64 (fma.f64 (*.f64 z x) z x) #s(literal -1 binary64)) y)
(pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64))
(pow.f64 (fma.f64 (*.f64 z x) z x) #s(literal -1 binary64))
(fma.f64 (*.f64 x z) z x)
(fma.f64 (*.f64 z x) z x)
(*.f64 x z)
(*.f64 z x)
x
z
#s(literal -1 binary64)
y
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
#s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/.f64 (pow.f64 (fma.f64 (*.f64 z x) z x) #s(literal -1 binary64)) y)
#s(literal 1 binary64)
(*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) 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 (*.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)))))
(/.f64 (pow.f64 (fma.f64 (*.f64 z x) z x) #s(literal -1 binary64)) y)
(-.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 (fma.f64 z z #s(literal 1 binary64)) y)
(*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
#s(literal 0 binary64)
#s(literal 0 binary64)
(*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x) y)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(fma.f64 z z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y)
(*.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))))
(*.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) y) (fma.f64 (*.f64 z x) z x))

localize100.0ms (1%)

Memory
23.0MiB live, 224.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy2.1669050279451896
(*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))
accuracy6.5665518527718705
(*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))
accuracy19.93348229163595
(*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
accuracy33.4903769380376
(/.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)))))
accuracy0
(*.f64 z z)
accuracy2.1669050279451896
(*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))
accuracy5.664516951551175
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
accuracy29.5611542110751
#s(approx (+ 1 (* z z)) (*.f64 z z))
accuracy0
(fma.f64 z z #s(literal 1 binary64))
accuracy1.0557179906958718
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
accuracy2.1669050279451896
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
accuracy5.003885264388267
(*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0.40356850126012406
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
accuracy33.015305121576944
#s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x))
accuracy0
(*.f64 x z)
accuracy0.10546875
(fma.f64 (*.f64 x z) z x)
accuracy0.2842804207205635
(pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64))
accuracy0.40356850126012406
(/.f64 (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) y)
Samples
63.0ms256×0valid
Compiler

Compiled 482 to 62 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 23.0ms (52.4% of total)
ival-div: 9.0ms (20.5% of total)
ival-add: 5.0ms (11.4% of total)
ival-pow: 5.0ms (11.4% of total)
ival-sub: 1.0ms (2.3% of total)
ival-neg: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series77.0ms (0.8%)

Memory
-8.7MiB live, 107.7MiB allocated
Counts
21 → 576
Calls
Call 1
Inputs
#s(alt (/.f64 (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) y) (patch (/.f64 (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) y) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x z) z x) (patch (fma.f64 (*.f64 x z) z x) #<representation binary64>) () ())
#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y) (patch (/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y) #<representation binary64>) () ())
#s(alt #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) 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 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) (patch (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (-.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)))) (patch (-.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)))) #<representation binary64>) () ())
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))) #<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>) () ())
#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) y) (patch (/.f64 (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) y) (patch (/.f64 (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) 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 (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) y) (patch (/.f64 (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) 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 (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) y) (patch (/.f64 (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) x)) (/ 1 x)) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x)) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (*.f64 x z) z x) (patch (fma.f64 (*.f64 x z) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x z) z x) (patch (fma.f64 (*.f64 x z) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x z) z x) (patch (fma.f64 (*.f64 x z) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x z) z x) (patch (fma.f64 (*.f64 x z) z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y) (patch (/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y) (patch (/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y) (patch (/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y) (patch (/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 z) (#s(alt #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) x)) (/ 1 x)) (taylor 0 z) (#s(alt #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x)) (taylor 0 z) (#s(alt #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) (taylor 0 z) (#s(alt #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) 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>) () ())) ())
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#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
11.0ms
x
@0
((/ (pow (+ (* (* x z) z) x) -1) y) (pow (+ (* (* x z) z) x) -1) (+ (* (* x z) z) x) (* x z) (/ (pow (* x (+ (* z z) 1)) -1) y) (pow (* x (+ (* z z) 1)) -1) (/ 1 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) (* 0 (* (* (neg y) x) (+ (* z z) 1))) (- (* 0 (* (* (neg y) x) (+ (* z z) 1))) (* (neg y) (+ (* z z) 1))) (* (* (neg y) (+ (* z z) 1)) (* (* (neg y) x) (+ (* z z) 1))) (* (* (neg y) x) (+ (* z z) 1)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (* 0 (* (* (neg y) x) (+ (* z z) 1))) (* (neg y) (+ (* z z) 1))) (* (* (neg y) (+ (* z z) 1)) (* (* (neg y) x) (+ (* z z) 1)))) (* (neg y) (+ (* z z) 1)))
6.0ms
y
@0
((/ (pow (+ (* (* x z) z) x) -1) y) (pow (+ (* (* x z) z) x) -1) (+ (* (* x z) z) x) (* x z) (/ (pow (* x (+ (* z z) 1)) -1) y) (pow (* x (+ (* z z) 1)) -1) (/ 1 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) (* 0 (* (* (neg y) x) (+ (* z z) 1))) (- (* 0 (* (* (neg y) x) (+ (* z z) 1))) (* (neg y) (+ (* z z) 1))) (* (* (neg y) (+ (* z z) 1)) (* (* (neg y) x) (+ (* z z) 1))) (* (* (neg y) x) (+ (* z z) 1)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (* 0 (* (* (neg y) x) (+ (* z z) 1))) (* (neg y) (+ (* z z) 1))) (* (* (neg y) (+ (* z z) 1)) (* (* (neg y) x) (+ (* z z) 1)))) (* (neg y) (+ (* z z) 1)))
5.0ms
x
@-inf
((/ (pow (+ (* (* x z) z) x) -1) y) (pow (+ (* (* x z) z) x) -1) (+ (* (* x z) z) x) (* x z) (/ (pow (* x (+ (* z z) 1)) -1) y) (pow (* x (+ (* z z) 1)) -1) (/ 1 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) (* 0 (* (* (neg y) x) (+ (* z z) 1))) (- (* 0 (* (* (neg y) x) (+ (* z z) 1))) (* (neg y) (+ (* z z) 1))) (* (* (neg y) (+ (* z z) 1)) (* (* (neg y) x) (+ (* z z) 1))) (* (* (neg y) x) (+ (* z z) 1)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (* 0 (* (* (neg y) x) (+ (* z z) 1))) (* (neg y) (+ (* z z) 1))) (* (* (neg y) (+ (* z z) 1)) (* (* (neg y) x) (+ (* z z) 1)))) (* (neg y) (+ (* z z) 1)))
4.0ms
y
@-inf
((/ (pow (+ (* (* x z) z) x) -1) y) (pow (+ (* (* x z) z) x) -1) (+ (* (* x z) z) x) (* x z) (/ (pow (* x (+ (* z z) 1)) -1) y) (pow (* x (+ (* z z) 1)) -1) (/ 1 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) (* 0 (* (* (neg y) x) (+ (* z z) 1))) (- (* 0 (* (* (neg y) x) (+ (* z z) 1))) (* (neg y) (+ (* z z) 1))) (* (* (neg y) (+ (* z z) 1)) (* (* (neg y) x) (+ (* z z) 1))) (* (* (neg y) x) (+ (* z z) 1)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (* 0 (* (* (neg y) x) (+ (* z z) 1))) (* (neg y) (+ (* z z) 1))) (* (* (neg y) (+ (* z z) 1)) (* (* (neg y) x) (+ (* z z) 1)))) (* (neg y) (+ (* z z) 1)))
4.0ms
z
@inf
((/ (pow (+ (* (* x z) z) x) -1) y) (pow (+ (* (* x z) z) x) -1) (+ (* (* x z) z) x) (* x z) (/ (pow (* x (+ (* z z) 1)) -1) y) (pow (* x (+ (* z z) 1)) -1) (/ 1 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) (* 0 (* (* (neg y) x) (+ (* z z) 1))) (- (* 0 (* (* (neg y) x) (+ (* z z) 1))) (* (neg y) (+ (* z z) 1))) (* (* (neg y) (+ (* z z) 1)) (* (* (neg y) x) (+ (* z z) 1))) (* (* (neg y) x) (+ (* z z) 1)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (* 0 (* (* (neg y) x) (+ (* z z) 1))) (* (neg y) (+ (* z z) 1))) (* (* (neg y) (+ (* z z) 1)) (* (* (neg y) x) (+ (* z z) 1)))) (* (neg y) (+ (* z z) 1)))

simplify201.0ms (2%)

Memory
17.9MiB live, 224.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01385764
14115676
211555555
338735465
082835086
Stop Event
iter limit
node limit
Counts
576 → 572
Calls
Call 1
Inputs
(/ 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)
(+ (* -1 (/ (pow z 2) x)) (/ 1 x))
(+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
x
(+ x (* x (pow z 2)))
(+ x (* x (pow z 2)))
(+ x (* x (pow z 2)))
(* 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)))
(/ 1 x)
(+ (* -1 (/ (pow z 2) x)) (/ 1 x))
(+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(* x y)
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(+ (* 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
(+ 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)))
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)
0
0
0
0
y
(- (* y (pow z 2)) (* -1 y))
(- (* y (pow z 2)) (* -1 y))
(- (* y (pow z 2)) (* -1 y))
(* x (pow y 2))
(+ (* 2 (* x (* (pow y 2) (pow z 2)))) (* x (pow y 2)))
(+ (* x (pow y 2)) (* (pow z 2) (+ (* 2 (* x (pow y 2))) (* x (* (pow y 2) (pow z 2))))))
(+ (* x (pow y 2)) (* (pow z 2) (+ (* 2 (* x (pow y 2))) (* x (* (pow y 2) (pow z 2))))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1 (* x (* y (pow z 2)))))
(+ (* -1 (* x y)) (* -1 (* x (* y (pow z 2)))))
(+ (* -1 (* x y)) (* -1 (* x (* 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 y)
(+ (* -1 y) (* -1 (* y (pow z 2))))
(+ (* -1 y) (* -1 (* y (pow z 2))))
(+ (* -1 y) (* -1 (* 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 (pow z 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
(* x (pow z 2))
(* (pow z 2) (+ x (/ x (pow z 2))))
(* (pow z 2) (+ x (/ x (pow z 2))))
(* (pow z 2) (+ x (/ x (pow z 2))))
(* x z)
(* x z)
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(/ 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) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (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 (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) (+ 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))))
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(/ (- (+ (/ 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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(pow z 2)
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(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(pow z 2)
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(pow z 2)
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0
0
0
0
(* y (pow z 2))
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(* (pow z 2) (- (/ y (pow z 2)) (* -1 y)))
(* x (* (pow y 2) (pow z 4)))
(* (pow z 4) (+ (* 2 (/ (* x (pow y 2)) (pow z 2))) (* x (pow y 2))))
(* (pow z 4) (+ (* 2 (/ (* x (pow y 2)) (pow z 2))) (+ (* x (pow y 2)) (/ (* x (pow y 2)) (pow z 4)))))
(* (pow z 4) (+ (* 2 (/ (* x (pow y 2)) (pow z 2))) (+ (* x (pow y 2)) (/ (* x (pow y 2)) (pow z 4)))))
(* -1 (* x (* y (pow z 2))))
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (* x y) (pow z 2)))))
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (* x y) (pow z 2)))))
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (* x y) (pow z 2)))))
(/ 1 (* x (* y (pow z 2))))
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(/ (- (+ (/ 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 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
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0
0
0
0
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(* x (* (pow y 2) (pow z 4)))
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(/ 1 (* x (* y (pow z 2))))
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(/ 1 (* x (* y (+ 1 (pow z 2)))))
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Outputs
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(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) x x))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) x x))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) x 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)
(* 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 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* y (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(* y (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(* y (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(* y (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(* x (* (pow y 2) (pow (+ 1 (pow z 2)) 2)))
(*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x))
(* x (* (pow y 2) (pow (+ 1 (pow z 2)) 2)))
(*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x))
(* x (* (pow y 2) (pow (+ 1 (pow z 2)) 2)))
(*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x))
(* x (* (pow y 2) (pow (+ 1 (pow z 2)) 2)))
(*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x))
(* -1 (* x (* y (+ 1 (pow z 2)))))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y) x)
(* -1 (* x (* y (+ 1 (pow z 2)))))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y) x)
(* -1 (* x (* y (+ 1 (pow z 2)))))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y) x)
(* -1 (* x (* y (+ 1 (pow z 2)))))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x)

rewrite548.0ms (5.4%)

Memory
-29.7MiB live, 282.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034222
056169
1234169
21677164
08726164
Stop Event
iter limit
node limit
iter limit
Counts
21 → 2 217
Calls
Call 1
Inputs
(/.f64 (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) y)
(pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64))
(fma.f64 (*.f64 x z) z x)
(*.f64 x z)
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
#s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) 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 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
(-.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))))
(*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
(/.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)))))
(*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))
Outputs
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eval516.0ms (5.1%)

Memory
51.8MiB live, 866.4MiB allocated
Compiler

Compiled 113 224 to 6 424 computations (94.3% saved)

prune187.0ms (1.9%)

Memory
-17.1MiB live, 221.1MiB allocated
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New3 53083 538
Fresh7411
Picked415
Done011
Total3 541143 555
Accuracy
99.3%
Counts
3 555 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.0%
(/.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 z x) z x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)
99.0%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) y)
91.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
61.7%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (neg.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64))))
52.8%
(/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) y)
57.7%
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
57.7%
(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
97.5%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z x) z x) y))
90.6%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x))
48.6%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
52.0%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
67.4%
(*.f64 (/.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) (*.f64 y x))) #s(literal -1 binary64))
52.3%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
57.5%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
Compiler

Compiled 274 to 236 computations (13.9% saved)

simplify168.0ms (1.7%)

Memory
24.6MiB live, 141.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 (*.f64 z z) x)
cost-diff0
#s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x)))
cost-diff0
(/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) y)
cost-diff-6144
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x))
cost-diff0
(*.f64 y z)
cost-diff0
(fma.f64 (*.f64 y z) z y)
cost-diff0
(*.f64 (fma.f64 (*.f64 y z) 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
(*.f64 y x)
cost-diff0
(neg.f64 z)
cost-diff0
(fma.f64 (neg.f64 z) z #s(literal 1 binary64))
cost-diff0
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
cost-diff-5760
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x))
cost-diff0
(*.f64 z x)
cost-diff0
(fma.f64 (*.f64 z x) z x)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) y)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035208
056206
1104205
2156205
3282205
4372205
5605205
61216205
72420205
84077205
96048205
107806205
08027202
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) y)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x))
#s(literal 1 binary64)
(fma.f64 (*.f64 z x) z x)
(*.f64 z x)
z
x
y
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))
(fma.f64 (neg.f64 z) z #s(literal 1 binary64))
(neg.f64 z)
z
#s(literal 1 binary64)
(*.f64 y x)
y
x
(/.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 y z) z y) x))
#s(literal 1 binary64)
(*.f64 (fma.f64 (*.f64 y z) z y) x)
(fma.f64 (*.f64 y z) z y)
(*.f64 y z)
y
z
x
(/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) y)
#s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))
#s(literal 1 binary64)
(*.f64 (*.f64 z z) x)
(*.f64 z z)
z
x
y
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) y)
(/.f64 (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) y)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x))
(pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64))
#s(literal 1 binary64)
(fma.f64 (*.f64 z x) z x)
(fma.f64 (*.f64 x z) z x)
(*.f64 z x)
(*.f64 x z)
z
x
y
#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) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) x) (neg.f64 y)))
(/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))
(/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) x) (neg.f64 y))
(fma.f64 (neg.f64 z) z #s(literal 1 binary64))
(neg.f64 z)
z
#s(literal 1 binary64)
(*.f64 y x)
y
x
(/.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))
#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 y z) z y) x))
(/.f64 (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) y)
#s(literal 1 binary64)
(*.f64 (fma.f64 (*.f64 y z) z y) x)
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(fma.f64 (*.f64 y z) z y)
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(*.f64 y z)
y
z
x
(/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) y)
(/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) z)) y)
#s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x)))
#s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) z)
#s(literal 1 binary64)
(*.f64 (*.f64 z z) x)
(*.f64 z z)
z
x
y

localize150.0ms (1.5%)

Memory
-12.9MiB live, 182.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3389679207205635
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))
accuracy0.40356850126012406
(/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) y)
accuracy7.646179510785633
(*.f64 (*.f64 z z) x)
accuracy29.101456097352276
#s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x)))
accuracy0
(*.f64 y z)
accuracy0.0390625
(fma.f64 (*.f64 y z) z y)
accuracy1.0557179906958718
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x))
accuracy5.003885264388267
(*.f64 (fma.f64 (*.f64 y z) z y) x)
accuracy0
(*.f64 y x)
accuracy1.0557179906958718
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
accuracy6.524149275911996
(*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))
accuracy29.5611542110751
#s(approx (+ 1 (* z z)) (*.f64 z z))
accuracy0
(*.f64 y x)
accuracy0
(neg.f64 z)
accuracy6.587539110325584
(/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))
accuracy33.08741157242639
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
accuracy0
(*.f64 z x)
accuracy0.10546875
(fma.f64 (*.f64 z x) z x)
accuracy0.2842804207205635
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x))
accuracy0.40356850126012406
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) y)
Samples
110.0ms256×0valid
Compiler

Compiled 344 to 61 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-mult: 33.0ms (42.2% of total)
ival-add: 24.0ms (30.7% of total)
ival-div: 17.0ms (21.7% of total)
ival-pow: 2.0ms (2.6% of total)
ival-neg: 1.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series65.0ms (0.6%)

Memory
-54.0MiB live, 73.4MiB allocated
Counts
21 → 552
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) y) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) y) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 z x) z x) (patch (fma.f64 (*.f64 z x) z x) #<representation binary64>) () ())
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<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 y z) z y) x) (patch (*.f64 (fma.f64 (*.f64 y z) z y) x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y z) z y) (patch (fma.f64 (*.f64 y z) z y) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) y) (patch (/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) y) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) (patch #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 z z) x) (patch (*.f64 (*.f64 z z) x) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)) (patch (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.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>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x)) #<representation binary64>) () ())
Outputs
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) y) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) y) #<representation binary64>) () ())) ())
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#s(alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) y) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (pow z 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z x) z x) (patch (fma.f64 (*.f64 z x) z x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (pow z 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z x) z x) (patch (fma.f64 (*.f64 z x) z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
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#s(alt (/ -1 (* x (- (* -1 (pow z 2)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.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 #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.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 #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
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#s(alt (* x (* y (+ 1 (pow z 2)))) (taylor -inf x) (#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>) () ())) ())
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#s(alt (* x (* y (+ 1 (pow z 2)))) (taylor -inf x) (#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>) () ())) ())
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#s(alt (* x (+ y (* y (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 y z) z y) x) (patch (*.f64 (fma.f64 (*.f64 y z) z y) x) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (* x (+ y (* y (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ y (* y (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ y (* y (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) #<representation binary64>) () ())) ())
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#s(alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) y) (patch (/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) y) (patch (/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) y) #<representation binary64>) () ())) ())
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#s(alt (/ -1 (* x (- (* -1 (pow z 2)) 1))) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) (patch #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (- (* -1 (pow z 2)) 1))) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) (patch #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (- (* -1 (pow z 2)) 1))) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) (patch #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) #<representation binary64>) () ())) ())
#s(alt (* x (pow z 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 z z) x) (patch (*.f64 (*.f64 z z) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow z 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 z z) x) (patch (*.f64 (*.f64 z z) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow z 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 z z) x) (patch (*.f64 (*.f64 z z) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow z 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 z z) x) (patch (*.f64 (*.f64 z z) x) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 1 (* -1 (pow z 2))) (* x y)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)) (patch (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (pow z 2))) (* x y)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)) (patch (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (pow z 2))) (* x y)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)) (patch (/.f64 (fma.f64 (neg.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 #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>) () ())) ())
#s(alt (/ 1 (* x (pow z 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow z 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow z 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow z 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
19.0ms
y
@-inf
((/ (/ 1 (+ (* (* z x) z) x)) y) (+ (* (* z x) z) x) (* z x) (/ 1 (+ (* (* z x) z) x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (+ (* (neg z) z) 1) (neg z) (* y x) (* (+ 1 (* z z)) (* y x)) (+ 1 (* z z)) (* z z) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (* y z) (/ 1 (* (+ (* (* y z) z) y) x)) (/ (pow (+ (* (* x z) z) x) -1) y) (pow (+ (* (* x z) z) x) -1) (* (* z z) x) (/ (+ (* (neg z) z) 1) (* y x)) (/ 1 (* (+ 1 (* z z)) (* y x))) (/ 1 (* (* z z) x)))
5.0ms
x
@-inf
((/ (/ 1 (+ (* (* z x) z) x)) y) (+ (* (* z x) z) x) (* z x) (/ 1 (+ (* (* z x) z) x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (+ (* (neg z) z) 1) (neg z) (* y x) (* (+ 1 (* z z)) (* y x)) (+ 1 (* z z)) (* z z) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (* y z) (/ 1 (* (+ (* (* y z) z) y) x)) (/ (pow (+ (* (* x z) z) x) -1) y) (pow (+ (* (* x z) z) x) -1) (* (* z z) x) (/ (+ (* (neg z) z) 1) (* y x)) (/ 1 (* (+ 1 (* z z)) (* y x))) (/ 1 (* (* z z) x)))
4.0ms
x
@inf
((/ (/ 1 (+ (* (* z x) z) x)) y) (+ (* (* z x) z) x) (* z x) (/ 1 (+ (* (* z x) z) x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (+ (* (neg z) z) 1) (neg z) (* y x) (* (+ 1 (* z z)) (* y x)) (+ 1 (* z z)) (* z z) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (* y z) (/ 1 (* (+ (* (* y z) z) y) x)) (/ (pow (+ (* (* x z) z) x) -1) y) (pow (+ (* (* x z) z) x) -1) (* (* z z) x) (/ (+ (* (neg z) z) 1) (* y x)) (/ 1 (* (+ 1 (* z z)) (* y x))) (/ 1 (* (* z z) x)))
4.0ms
x
@0
((/ (/ 1 (+ (* (* z x) z) x)) y) (+ (* (* z x) z) x) (* z x) (/ 1 (+ (* (* z x) z) x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (+ (* (neg z) z) 1) (neg z) (* y x) (* (+ 1 (* z z)) (* y x)) (+ 1 (* z z)) (* z z) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (* y z) (/ 1 (* (+ (* (* y z) z) y) x)) (/ (pow (+ (* (* x z) z) x) -1) y) (pow (+ (* (* x z) z) x) -1) (* (* z z) x) (/ (+ (* (neg z) z) 1) (* y x)) (/ 1 (* (+ 1 (* z z)) (* y x))) (/ 1 (* (* z z) x)))
3.0ms
y
@inf
((/ (/ 1 (+ (* (* z x) z) x)) y) (+ (* (* z x) z) x) (* z x) (/ 1 (+ (* (* z x) z) x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (+ (* (neg z) z) 1) (neg z) (* y x) (* (+ 1 (* z z)) (* y x)) (+ 1 (* z z)) (* z z) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (* y z) (/ 1 (* (+ (* (* y z) z) y) x)) (/ (pow (+ (* (* x z) z) x) -1) y) (pow (+ (* (* x z) z) x) -1) (* (* z z) x) (/ (+ (* (neg z) z) 1) (* y x)) (/ 1 (* (+ 1 (* z z)) (* y x))) (/ 1 (* (* z z) x)))

simplify187.0ms (1.9%)

Memory
40.2MiB live, 226.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01095398
13025342
27815086
328904894
470454894
081414631
Stop Event
iter limit
node limit
Counts
552 → 550
Calls
Call 1
Inputs
(/ 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
(+ x (* x (pow z 2)))
(+ x (* x (pow z 2)))
(+ x (* x (pow z 2)))
(* x z)
(* x z)
(* x z)
(* x z)
(/ 1 x)
(+ (* -1 (/ (pow z 2) x)) (/ 1 x))
(+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (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
(+ 1 (* -1 (pow z 2)))
(+ 1 (* -1 (pow z 2)))
(+ 1 (* -1 (pow z 2)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* 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)))
(* 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)))
(/ 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)
(+ (* -1 (/ (pow z 2) x)) (/ 1 x))
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(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
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(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* x (+ y (* y (pow z 2))))
(*.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)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ -1 (* x (- (* -1 (pow z 2)) 1)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) x x))
(/ -1 (* x (- (* -1 (pow z 2)) 1)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) x x))
(/ -1 (* x (- (* -1 (pow z 2)) 1)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) x x))
(/ -1 (* x (- (* -1 (pow z 2)) 1)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) x x))
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(*.f64 (*.f64 z z) x)
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(*.f64 (*.f64 z z) x)
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(*.f64 (*.f64 z z) x)
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(*.f64 (*.f64 z z) x)
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) 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 (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))
(/ 1 (* x (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))
(/ 1 (* x (pow z 2)))
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(/ 1 (* x (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))

rewrite152.0ms (1.5%)

Memory
-6.7MiB live, 186.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035182
056180
1234173
21321173
08790167
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 155
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) y)
(fma.f64 (*.f64 z x) z x)
(*.f64 z x)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(fma.f64 (neg.f64 z) z #s(literal 1 binary64))
(neg.f64 z)
(*.f64 y x)
(*.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 y z) z y) x)
(fma.f64 (*.f64 y z) z y)
(*.f64 y z)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x))
(/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) y)
#s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x)))
(*.f64 (*.f64 z z) x)
(/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y 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 z z) x))
Outputs
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eval238.0ms (2.4%)

Memory
10.2MiB live, 483.8MiB allocated
Compiler

Compiled 29 228 to 3 703 computations (87.3% saved)

prune56.0ms (0.6%)

Memory
16.1MiB live, 138.5MiB allocated
Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New1 77251 777
Fresh257
Picked145
Done022
Total1 775161 791
Accuracy
99.6%
Counts
1 791 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
61.7%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (neg.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64))))
60.1%
(/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 x z))) y)
52.8%
(/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) y)
59.8%
(/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) z))) y)
60.1%
(/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) x) z))) y)
57.7%
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
57.7%
(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
97.5%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z x) z x) y))
90.6%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x))
48.6%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) y) x))
52.2%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y))
52.0%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
67.4%
(*.f64 (/.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) (*.f64 y x))) #s(literal -1 binary64))
52.3%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
57.5%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
Compiler

Compiled 652 to 294 computations (54.9% saved)

regimes96.0ms (1%)

Memory
0.5MiB live, 156.0MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
#s(approx (/ (pow (* x (+ (* z z) 1)) -1) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) 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 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z x) z x) y))
(/.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))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x) y))
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) y)
(/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) z))) y)
(/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) y)
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) y)
(/.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) (fma.f64 (*.f64 y z) z y)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) (*.f64 y x))) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) #s(approx (* (* (neg y) (+ (* z z) 1)) (/ (/ -1 x) (+ (* z z) 1))) (/.f64 y x))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) y))
(/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) x) z))) y)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) 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)))))
(/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y)
(/.f64 (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) y)
(/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 x z))) y)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.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))))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (neg.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64))))
(pow.f64 (pow.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 z x) z x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) y)
Calls

8 calls:

13.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
13.0ms
y
12.0ms
x
12.0ms
(/.f64 #s(literal 1 binary64) x)
12.0ms
z
Results
AccuracySegmentsBranch
99.0%1x
99.0%1y
99.0%1z
99.0%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
99.0%1(/.f64 #s(literal 1 binary64) x)
99.0%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.0%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.0%1(*.f64 z z)
Compiler

Compiled 32 to 40 computations (-25% saved)

regimes59.0ms (0.6%)

Memory
-20.0MiB live, 114.2MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
#s(approx (/ (pow (* x (+ (* z z) 1)) -1) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) 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 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z x) z x) y))
(/.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))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x) y))
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) y)
(/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) z))) y)
(/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) y)
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z x) z x) y))
Calls

8 calls:

11.0ms
(/.f64 #s(literal 1 binary64) x)
8.0ms
y
7.0ms
(*.f64 z z)
7.0ms
x
7.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
97.5%1x
97.5%1y
97.5%1z
97.5%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
97.5%1(/.f64 #s(literal 1 binary64) x)
97.5%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
97.5%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
97.5%1(*.f64 z z)
Compiler

Compiled 32 to 40 computations (-25% saved)

regimes37.0ms (0.4%)

Memory
1.7MiB live, 79.7MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
#s(approx (/ (pow (* x (+ (* z z) 1)) -1) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) 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 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x))
Calls

8 calls:

5.0ms
z
5.0ms
(*.f64 z z)
5.0ms
y
5.0ms
(/.f64 #s(literal 1 binary64) x)
5.0ms
x
Results
AccuracySegmentsBranch
90.6%1x
90.6%1y
94.2%3z
90.6%1(/.f64 #s(literal 1 binary64) x)
90.6%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
94.2%3(+.f64 #s(literal 1 binary64) (*.f64 z z))
94.2%3(*.f64 z z)
90.6%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Compiler

Compiled 32 to 40 computations (-25% saved)

regimes35.0ms (0.3%)

Memory
-8.4MiB live, 71.3MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
#s(approx (/ (pow (* x (+ (* z z) 1)) -1) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) 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 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/.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))
5.0ms
y
4.0ms
(/.f64 #s(literal 1 binary64) x)
4.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
4.0ms
x
Results
AccuracySegmentsBranch
87.2%1x
87.2%1y
87.2%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
87.2%1(/.f64 #s(literal 1 binary64) x)
90.8%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
90.8%2z
90.8%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
90.8%2(*.f64 z z)
Compiler

Compiled 32 to 40 computations (-25% saved)

regimes16.0ms (0.2%)

Memory
-6.4MiB live, 32.6MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
#s(approx (/ (pow (* x (+ (* z z) 1)) -1) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) 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 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) y) x))
Outputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y))
Calls

4 calls:

4.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
4.0ms
z
4.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
3.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
89.2%2z
89.2%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
89.2%2(*.f64 z z)
76.6%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Compiler

Compiled 16 to 20 computations (-25% saved)

regimes23.0ms (0.2%)

Memory
14.6MiB live, 53.7MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
#s(approx (/ (pow (* x (+ (* z z) 1)) -1) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) 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 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
Calls

7 calls:

4.0ms
y
3.0ms
z
3.0ms
(/.f64 #s(literal 1 binary64) x)
3.0ms
x
3.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
74.4%2(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
57.7%1x
57.7%1(/.f64 #s(literal 1 binary64) x)
66.9%4y
86.6%2z
86.6%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
86.6%2(*.f64 z z)
Compiler

Compiled 25 to 33 computations (-32% saved)

regimes9.0ms (0.1%)

Memory
-23.7MiB live, 16.7MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
#s(approx (/ (pow (* x (+ (* z z) 1)) -1) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x)))
Outputs
#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) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
Calls

3 calls:

4.0ms
z
2.0ms
(*.f64 z z)
2.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
85.6%2z
85.6%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
85.6%2(*.f64 z z)
Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes16.0ms (0.2%)

Memory
-1.4MiB live, 37.7MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
Outputs
(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
Calls

7 calls:

2.0ms
y
2.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
2.0ms
x
2.0ms
z
2.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
57.7%1x
57.7%1y
57.7%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
57.7%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
57.7%1z
57.7%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
57.7%1(*.f64 z z)
Compiler

Compiled 29 to 35 computations (-20.7% saved)

regimes16.0ms (0.2%)

Memory
0.8MiB live, 40.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
Outputs
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
Calls

8 calls:

2.0ms
x
2.0ms
z
2.0ms
(/.f64 #s(literal 1 binary64) x)
2.0ms
y
2.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
57.7%1y
57.7%1(/.f64 #s(literal 1 binary64) x)
57.7%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
57.7%1z
57.7%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
57.7%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
57.7%1(*.f64 z z)
57.7%1x
Compiler

Compiled 32 to 40 computations (-25% saved)

regimes11.0ms (0.1%)

Memory
33.6MiB live, 33.6MiB 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
x
1.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
57.5%1y
57.5%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
57.5%1(/.f64 #s(literal 1 binary64) x)
57.5%1x
57.5%1z
57.5%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
57.5%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
57.5%1(*.f64 z z)
Compiler

Compiled 32 to 40 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.971651888847114e+297
4.146110715839851e+298
0.0ms
6223166018964.949
3.607791132858987e+19
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.8646762867479352e+300
2.160513412300334e+303
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.05009980021795877
5.523207904691862
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.05009980021795877
5.523207904691862
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.05009980021795877
5.523207904691862
Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify31.0ms (0.3%)

Memory
-11.8MiB live, 66.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070282
193282
2101282
3107282
4110282
5111282
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) y)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z x) z x) y))
(if (<=.f64 (*.f64 z z) #s(literal 10000000000000 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) (if (<=.f64 (*.f64 z z) #s(literal 9999999999999999595662034753429788238255624467393741467120915117996487670031669885400803025551745174706847878231119663145222863482996149222332143382301002459214758820269116923021527058285459686414683385913622455551313826420028155008403585629126369847605750170289266545852965785882018353801250996224 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x))))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 2000000000000000105009520510408840497408937162216318309831708231023604915977816391572742750160895728087408887665767756353885046470720861151289584369573413965696774401853151607475660467589576180118737906469941599890162238077935281760149305485560284989158517577640113685676231338944392773730918801080320 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)))
(if (<=.f64 (*.f64 z z) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)))
(if (<=.f64 (*.f64 z z) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))))
(if (<=.f64 (*.f64 z z) #s(literal 3602879701896397/36028797018963968 binary64)) #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) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x))))
(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) y)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z x) z x) y))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 (*.f64 x z) z x)))
(if (<=.f64 (*.f64 z z) #s(literal 10000000000000 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) (if (<=.f64 (*.f64 z z) #s(literal 9999999999999999595662034753429788238255624467393741467120915117996487670031669885400803025551745174706847878231119663145222863482996149222332143382301002459214758820269116923021527058285459686414683385913622455551313826420028155008403585629126369847605750170289266545852965785882018353801250996224 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x))))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 2000000000000000105009520510408840497408937162216318309831708231023604915977816391572742750160895728087408887665767756353885046470720861151289584369573413965696774401853151607475660467589576180118737906469941599890162238077935281760149305485560284989158517577640113685676231338944392773730918801080320 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)))
(if (<=.f64 (*.f64 (+.f64 (*.f64 z z) #s(literal 1 binary64)) y) #s(literal 2000000000000000105009520510408840497408937162216318309831708231023604915977816391572742750160895728087408887665767756353885046470720861151289584369573413965696774401853151607475660467589576180118737906469941599890162238077935281760149305485560284989158517577640113685676231338944392773730918801080320 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)))
(if (<=.f64 (*.f64 z z) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) y)))
(if (<=.f64 (*.f64 z z) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))))
(if (<=.f64 (*.f64 z z) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(approx (+ 1 (* z z)) (*.f64 z z)))))
(if (<=.f64 (*.f64 z z) #s(literal 3602879701896397/36028797018963968 binary64)) #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) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x))))
(if (<=.f64 (*.f64 z z) #s(literal 3602879701896397/36028797018963968 binary64)) #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) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))))
(/.f64 #s(approx (/ -1 (* y (+ (* z z) 1))) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(/.f64 #s(approx (pow (* x (+ (* z z) 1)) -1) (/.f64 #s(literal 1 binary64) x)) y)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

soundness1.4s (14.4%)

Memory
4.6MiB live, 915.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035182
056180
1234173
21321173
08790167
034222
056169
1234169
21677164
08726164
052814
1135812
2390807
31474790
43968754
57660754
08222693
035176
057149
1245146
21769146
08844146
0929
01429
15829
236029
3275029
0907326
01284759
13574724
29914650
335564491
081854212
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 699 to 377 computations (46.1% saved)

preprocess677.0ms (6.7%)

Memory
-19.9MiB live, 706.1MiB allocated
Remove

(abs z)

Compiler

Compiled 926 to 512 computations (44.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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