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

Time bar (total: 9.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze117.0ms (1.3%)

Memory
-2.1MiB live, 118.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
56.3%56.2%43.7%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
65.6%65.5%34.3%0.1%0%0%0%8
76.6%76.5%23.4%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
82%81.9%17.9%0.1%0%0%0%11
87.9%87.8%12.1%0.1%0%0%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.2s (12.8%)

Memory
27.1MiB live, 1 457.8MiB allocated
Samples
869.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 654.0ms
ival-mult: 309.0ms (47.2% of total)
ival-add: 186.0ms (28.4% of total)
ival-div: 145.0ms (22.2% of total)
ival-true: 6.0ms (0.9% of total)
exact: 5.0ms (0.8% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain153.0ms (1.7%)

Memory
6.8MiB live, 163.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
170-0-(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
110-0-(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-z
00-0-(+.f64 #s(literal 1 binary64) (*.f64 z z))
00-0-(*.f64 z z)
00-0-y
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))n/o170
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))overflow61
(+.f64 #s(literal 1 binary64) (*.f64 z z))overflow56
(*.f64 z z)overflow56
*.f64(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))n*o110
Confusion
Predicted +Predicted -
+240
-4228
Precision
0.8571428571428571
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2400
-40228
Precision?
0.8571428571428571
Recall?
1.0
Freqs
test
numberfreq
0228
128
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
70.0ms512×0valid
Compiler

Compiled 81 to 31 computations (61.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-div: 35.0ms (63.6% of total)
ival-add: 13.0ms (23.6% of total)
ival-mult: 7.0ms (12.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess321.0ms (3.5%)

Memory
5.4MiB live, 41.0MiB allocated
Algorithm
egg-herbie
Rules
1 390×unsub-neg
1 032×distribute-lft-in
930×distribute-rgt-in
594×div-sub
550×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

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

(abs z)

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.2%
(/.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)

simplify25.0ms (0.3%)

Memory
-46.0MiB live, 14.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize21.0ms (0.2%)

Memory
26.2MiB live, 26.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 #s(literal 1 binary64) (*.f64 z z))
accuracy0
(*.f64 z z)
accuracy1.1870435750417254
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
accuracy5.705385050043982
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Samples
15.0ms256×0valid
Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (39.7% of total)
ival-mult: 3.0ms (39.7% of total)
ival-add: 1.0ms (13.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series42.0ms (0.5%)

Memory
-21.8MiB live, 13.9MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation:binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())
#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())
Outputs
#s(alt 1 (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (pow z 2)))) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ 1 (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 z z)) (patch (+.f64 #s(literal 1 binary64) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (pow z 2)))) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ y (pow z 2)))) (taylor -inf z) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor 0 y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor 0 y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor 0 y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor 0 y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor -inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor -inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor -inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (pow z 2))) (taylor -inf y) (#s(alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (patch (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
31.0ms
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
z
@0
((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z))

simplify233.0ms (2.6%)

Memory
46.5MiB live, 266.6MiB allocated
Algorithm
egg-herbie
Rules
18 180×lower-fma.f64
18 180×lower-fma.f32
3 734×lower-*.f64
3 734×lower-*.f32
2 644×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052814
1135812
2390807
31474790
43968754
57660754
08222693
Stop Event
iter limit
node limit
Counts
96 → 95
Calls
Call 1
Inputs
1
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
y
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
Outputs
1
#s(literal 1 binary64)
(+ 1 (pow z 2))
(fma.f64 z z #s(literal 1 binary64))
(+ 1 (pow z 2))
(fma.f64 z z #s(literal 1 binary64))
(+ 1 (pow z 2))
(fma.f64 z z #s(literal 1 binary64))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64))))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
y
(+ y (* y (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(+ y (* y (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(+ y (* y (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y x)) (fma.f64 z z #s(literal -1 binary64)))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)))) (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y x)) (fma.f64 z z #s(literal -1 binary64)))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)))) (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

rewrite561.0ms (6.2%)

Memory
-146.8MiB live, 420.8MiB allocated
Rules
4 616×lower-/.f32
4 612×lower-/.f64
4 020×lower-*.f32
4 016×lower-*.f64
3 572×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
01429
15829
236029
3275029
0907326
Stop Event
iter limit
node limit
iter limit
Counts
5 → 437
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) x)
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 z z)
Outputs
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal 18 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (hypot.f64 (*.f64 z z) z) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))))
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) (-.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 18 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -3 binary64)) (*.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -3 binary64))))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) (pow.f64 z #s(literal 6 binary64))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 y (*.f64 y (*.f64 z z))) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) y)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) y)) (neg.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)))) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (*.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (*.f64 y (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 y (*.f64 z z)) y))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 y (*.f64 y (*.f64 z z))) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 y (*.f64 y (*.f64 z z))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) y) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) y) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y) (*.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 y (*.f64 y (*.f64 z z))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (hypot.f64 y (*.f64 y (*.f64 z z))) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(/.f64 (neg.f64 y) (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (hypot.f64 y (*.f64 y (*.f64 z z))) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 y (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 y (*.f64 y (*.f64 z z))) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))))
(fma.f64 (*.f64 y z) z y)
(fma.f64 (*.f64 y (*.f64 z z)) #s(literal 1 binary64) y)
(fma.f64 y (*.f64 z z) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(fma.f64 (*.f64 z z) y y)
(fma.f64 z (*.f64 y z) y)
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y (*.f64 z z)))
(-.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) (-.f64 (*.f64 y (*.f64 z z)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y (*.f64 z z)) y)))
(-.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) (/.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(-.f64 (/.f64 (*.f64 (*.f64 y z) (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 y))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 y y) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))))
(-.f64 y (/.f64 (*.f64 y (*.f64 z z)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -1 binary64))))
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 (*.f64 y z) (neg.f64 z))))
(+.f64 (*.f64 y (*.f64 z z)) y)
(+.f64 y (*.f64 y (*.f64 z z)))
(*.f64 (*.f64 z z) #s(literal 1 binary64))
(*.f64 z z)
(*.f64 #s(literal 1 binary64) (*.f64 z z))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 z))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))

eval67.0ms (0.7%)

Memory
11.3MiB live, 199.5MiB allocated
Compiler

Compiled 11 583 to 1 535 computations (86.7% saved)

prune25.0ms (0.3%)

Memory
-7.8MiB live, 79.5MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New51715532
Fresh000
Picked101
Done000
Total51815533
Accuracy
94.9%
Counts
533 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.0%
(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))
90.1%
(/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y x))
92.7%
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
90.0%
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
91.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
48.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
60.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))))
89.2%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x))
47.4%
(/.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)))))
44.8%
(/.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))
89.1%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
90.0%
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
55.5%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
48.3%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
60.7%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
Compiler

Compiled 394 to 296 computations (24.9% saved)

simplify100.0ms (1.1%)

Memory
15.0MiB live, 93.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (fma.f64 z z #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
cost-diff896
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (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-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) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
cost-diff-384
(/.f64 #s(literal 1 binary64) (*.f64 y x))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
cost-diff0
(fma.f64 z z #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
cost-diff896
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
Rules
1 344×lower-fma.f32
1 342×lower-fma.f64
1 064×lower-*.f32
1 054×lower-*.f64
578×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029171
046168
193168
2195165
3426165
4745165
51078165
61535165
71813165
82436165
92718165
102862165
112865165
122866165
132866165
142866165
152866165
02866165
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.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) x) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(fma.f64 z z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(neg.f64 y)
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 #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 -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
y
(neg.f64 (fma.f64 z z #s(literal 1 binary64)))
(fma.f64 z z #s(literal 1 binary64))
z
#s(literal 1 binary64)
Outputs
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(fma.f64 z z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(neg.f64 y)
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 #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 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #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 -1 binary64) x) y) (neg.f64 (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 (/.f64 #s(literal -1 binary64) x) y)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
y
(neg.f64 (fma.f64 z z #s(literal 1 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 z z))
(fma.f64 z z #s(literal 1 binary64))
z
#s(literal 1 binary64)

localize101.0ms (1.1%)

Memory
1.4MiB live, 120.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0
(neg.f64 (fma.f64 z z #s(literal 1 binary64)))
accuracy0.18359375
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
accuracy6.217597061661548
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
accuracy0
(*.f64 z z)
accuracy1.1870435750417254
(*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))
accuracy5.705385050043982
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
accuracy31.44118287646675
#s(approx (+ 1 (* z z)) (*.f64 z z))
accuracy0
(fma.f64 z z #s(literal 1 binary64))
accuracy0.5756565751903269
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
accuracy1.1870435750417254
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
accuracy5.2160048075344285
(*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)
accuracy0
(*.f64 y x)
accuracy0.3274333662848644
(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy25.093732706336883
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0
(neg.f64 y)
accuracy1.2228365005437547
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
accuracy5.289041897730335
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
Samples
61.0ms256×0valid
Compiler

Compiled 165 to 25 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 13.0ms (49.1% of total)
ival-mult: 8.0ms (30.2% of total)
ival-add: 2.0ms (7.5% of total)
ival-neg: 2.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series75.0ms (0.8%)

Memory
1.7MiB live, 40.5MiB allocated
Counts
19 → 444
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) #<representation:binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation:binary64>) () ())
#s(alt (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 #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 (*.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 (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())
#s(alt (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) (patch (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) #<representation:binary64>) () ())
#s(alt #s(approx (+ 1 (* z z)) (*.f64 z z)) (patch #s(approx (+ 1 (* z z)) (*.f64 z z)) #<representation:binary64>) () ())
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())
#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation:binary64>) () ())
#s(alt (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (patch (neg.f64 (fma.f64 z z #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation:binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))) #<representation:binary64>) () ())
Outputs
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (- (/ (pow z 2) x) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt 1 (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 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) (patch (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #<representation:binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y (fma.f64 z z #s(literal 1 binary64))) (patch (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) (patch (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) (patch (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) (patch (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) (patch (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (+ 1 (* z z)) (*.f64 z z)) (patch #s(approx (+ 1 (* z z)) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ 1 (* z z)) (*.f64 z z)) (patch #s(approx (+ 1 (* z z)) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ 1 (* z z)) (*.f64 z z)) (patch #s(approx (+ 1 (* z z)) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ 1 (* z z)) (*.f64 z z)) (patch #s(approx (+ 1 (* z z)) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) (patch (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt -1 (taylor 0 z) (#s(alt (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (patch (neg.f64 (fma.f64 z z #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (- (* -1 (pow z 2)) 1) (taylor 0 z) (#s(alt (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (patch (neg.f64 (fma.f64 z z #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (- (* -1 (pow z 2)) 1) (taylor 0 z) (#s(alt (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (patch (neg.f64 (fma.f64 z z #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (- (* -1 (pow z 2)) 1) (taylor 0 z) (#s(alt (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (patch (neg.f64 (fma.f64 z z #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))) #<representation:binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
49.0ms
y
@inf
((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (neg (+ (* z z) 1)) (neg y) (/ (/ 1 x) (* y (+ 1 (* z z)))))
2.0ms
x
@inf
((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (neg (+ (* z z) 1)) (neg y) (/ (/ 1 x) (* y (+ 1 (* z z)))))
2.0ms
x
@0
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2.0ms
y
@-inf
((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (neg (+ (* z z) 1)) (neg y) (/ (/ 1 x) (* y (+ 1 (* z z)))))
2.0ms
x
@-inf
((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y x) (/ 1 (* y x)) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (/ 1 x) (* y (+ 1 (* z z))) (+ 1 (* z z)) (* z z) (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (neg (+ (* z z) 1)) (neg y) (/ (/ 1 x) (* y (+ 1 (* z z)))))

simplify203.0ms (2.2%)

Memory
-29.3MiB live, 197.1MiB allocated
Algorithm
egg-herbie
Rules
6 802×lower-fma.f64
6 802×lower-fma.f32
3 392×lower-*.f64
3 392×lower-*.f32
2 064×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0894216
12454205
26764149
325504012
465933988
082563725
Stop Event
iter limit
node limit
Counts
444 → 442
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)
(- (/ (pow z 2) x) (/ 1 x))
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x))
1
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(* 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
(+ 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)
(/ 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 (pow z 2)) 1)
(- (* -1 (pow z 2)) 1)
(- (* -1 (pow z 2)) 1)
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ -1 (* x (pow z 2)))
(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2))
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* 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))))
(* 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))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* -1 (pow z 2))
(* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))
(* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))
(* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ -1 (* x (pow z 2)))
(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2))
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* 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))))
(* 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))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* -1 (pow z 2))
(* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))
(* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))
(* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(* x y)
(* 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)))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(* x y)
(* 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)))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(* x y)
(* 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)))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (+ 1 (pow z 2))))
(/ -1 (* x (+ 1 (pow z 2))))
(/ -1 (* x (+ 1 (pow z 2))))
(/ -1 (* x (+ 1 (pow z 2))))
(/ -1 x)
(/ -1 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)))))
(* 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)))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(/ 1 x)
(/ 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 y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (+ 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 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)))))
(* 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)))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(/ 1 x)
(/ 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 y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (+ 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 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)))))
(* 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)))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(/ 1 x)
(/ 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 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)))))
Outputs
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 z y) x) (-.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (/ (pow z 2) x) (/ 1 x))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) x)
(- (* (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 (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)))
(neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
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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))
(* 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)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ -1 (* x y))
(/.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 (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 #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)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 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 (+ 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)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ -1 (* x y))
(/.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 (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 #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)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 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 (+ 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)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ -1 (* x y))
(/.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))

rewrite521.0ms (5.7%)

Memory
-1.1MiB live, 352.0MiB allocated
Rules
5 110×lower-*.f32
5 100×lower-*.f64
4 452×lower-/.f32
4 434×lower-/.f64
2 900×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029139
046136
1179133
21153133
08283133
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 894
Calls
Call 1
Inputs
(/.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) x) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) x)
(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 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #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)))
(/.f64 #s(literal 1 binary64) x)
(*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z)))
#s(approx (+ 1 (* z z)) (*.f64 z z))
(*.f64 z z)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(neg.f64 (fma.f64 z z #s(literal 1 binary64)))
(neg.f64 y)
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
Outputs
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 z z))) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) x))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 z z #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (*.f64 (neg.f64 y) y))) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (hypot.f64 (*.f64 (*.f64 z z) y) y) (*.f64 (*.f64 (*.f64 z z) y) y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 y (*.f64 (*.f64 z z) y)) (*.f64 (*.f64 (*.f64 z z) y) y)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) (neg.f64 (*.f64 y y))) y)
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 y) y)) (fma.f64 z z #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y))) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (+.f64 z #s(literal 1 binary64))) (-.f64 z #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) x))) (fma.f64 z z #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) x))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))
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(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 z z))))
(-.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 1 binary64)))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 z z) #s(literal 1 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 z z))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64)))) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(+.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z)))
(+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) z))
(*.f64 (neg.f64 (*.f64 y y)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 #s(literal -1 binary64) y)
(/.f64 (*.f64 (neg.f64 (*.f64 y y)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y y))) y)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y y))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 y y)) y)
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 y) #s(literal 1 binary64))
(/.f64 y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y))
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(*.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (*.f64 (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(*.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)))) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ 1 (* z z)) (*.f64 z z))) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (+ 1 (* z z)) (*.f64 z z))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z)))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) y)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64))))
(*.f64 (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -1 binary64) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(pow.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (+ 1 (* z z)) (*.f64 z z))) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64))) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z)))) (neg.f64 y))
(/.f64 (*.f64 (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64))) (*.f64 (neg.f64 x) y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (*.f64 (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) y)
(/.f64 (*.f64 (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y x))
(/.f64 (*.f64 (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
(/.f64 (*.f64 (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) y))
(/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z)))) (neg.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 x))
(/.f64 (pow.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 y x))
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) y)
(/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (neg.f64 (neg.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)))))
(/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 #s(approx (+ 1 (* z z)) (*.f64 z z))) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (neg.f64 x)))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 #s(approx (+ 1 (* z z)) (*.f64 z z))) (neg.f64 x)))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x #s(approx (+ 1 (* z z)) (*.f64 z z))))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) x))
(/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) x)
(/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) #s(literal 1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 #s(approx (+ 1 (* z z)) (*.f64 z z))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) y))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (+ 1 (* z z)) (*.f64 z z))) x))
(neg.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ 1 (* z z)) (*.f64 z z))) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (neg.f64 y))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) y)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(-.f64 (/.f64 #s(literal 0 binary64) #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 0 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(approx (+ 1 (* z z)) (*.f64 z z))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x))) #s(literal -1 binary64)))

eval522.0ms (5.7%)

Memory
48.4MiB live, 501.9MiB allocated
Compiler

Compiled 50 994 to 5 048 computations (90.1% saved)

prune197.0ms (2.2%)

Memory
-27.4MiB live, 217.6MiB allocated
Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New2 702152 717
Fresh7310
Picked235
Done000
Total2 711212 732
Accuracy
99.6%
Counts
2 732 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.1%
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))))
91.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
48.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
90.1%
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 x) y))
89.2%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x))
89.9%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
44.8%
(/.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))
52.7%
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) x)) (neg.f64 y))
51.7%
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x))) (neg.f64 y))
60.6%
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
97.9%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)))
97.3%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)))
91.0%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x))
89.1%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
48.3%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
50.9%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
55.5%
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
60.6%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
60.6%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
60.7%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
52.4%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y))
Compiler

Compiled 442 to 372 computations (15.8% saved)

simplify98.0ms (1.1%)

Memory
-12.7MiB live, 50.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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-diff128
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x))
cost-diff0
(*.f64 y z)
cost-diff0
(fma.f64 (*.f64 y z) z y)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
cost-diff0
(*.f64 z z)
cost-diff0
#s(approx (+ (* z z) 1) (*.f64 z z))
cost-diff0
(*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z)))
cost-diff0
(*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)
cost-diff0
(neg.f64 x)
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
cost-diff512
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 z x)
cost-diff0
(*.f64 y z)
cost-diff320
(fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))
Rules
1 344×lower-fma.f32
1 338×lower-fma.f64
1 064×lower-*.f32
1 050×lower-*.f64
522×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032180
052182
1101174
2199172
3438172
4759172
51128172
61462172
71843172
82489172
92793172
102824172
112825172
122825172
132825172
142825172
02825172
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)))
#s(literal 1 binary64)
(fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))
(*.f64 y z)
y
z
(*.f64 z x)
x
(*.f64 y x)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(neg.f64 x)
x
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
#s(literal 1 binary64)
(*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)
(*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z)))
y
#s(approx (+ (* z z) 1) (*.f64 z z))
(*.f64 z z)
z
x
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (*.f64 y z) z y)
(*.f64 y z)
y
z
(/.f64 (/.f64 #s(literal -1 binary64) (*.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
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
#s(literal 1 binary64)
(fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(*.f64 y z)
(*.f64 z y)
y
z
(*.f64 z x)
(*.f64 x z)
x
(*.f64 y x)
(*.f64 x y)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(neg.f64 x)
x
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(approx (+ (* z z) 1) (*.f64 z z)))
#s(literal 1 binary64)
(*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)
(*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) (*.f64 x y))
(*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z)))
(*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) y)
y
#s(approx (+ (* z z) 1) (*.f64 z z))
(*.f64 z z)
z
x
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (*.f64 y z) z y)
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(*.f64 y z)
(*.f64 z y)
y
z
(/.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 z z #s(literal 1 binary64))) (*.f64 x y))
(/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))
#s(literal -1 binary64)
(*.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
#s(literal 1 binary64)
(neg.f64 x)
x

localize93.0ms (1%)

Memory
16.3MiB live, 94.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 x)
accuracy0.49416369348409506
(/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
accuracy1.1870435750417254
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
accuracy5.220465108276036
(/.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)
accuracy0
(*.f64 y z)
accuracy0.03125
(fma.f64 (*.f64 y z) z y)
accuracy5.705385050043982
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
accuracy0.5756565751903269
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
accuracy1.1870435750417254
(*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z)))
accuracy5.2160048075344285
(*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)
accuracy31.44118287646675
#s(approx (+ (* z z) 1) (*.f64 z z))
accuracy0
(/.f64 #s(literal -1 binary64) y)
accuracy0
(neg.f64 x)
accuracy0.23046875
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
accuracy25.093732706336883
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
accuracy0
(*.f64 y z)
accuracy0
(*.f64 y x)
accuracy0.5756565751903269
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)))
accuracy0.7902819810851549
(fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))
Samples
74.0ms256×0valid
Compiler

Compiled 171 to 30 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 16.0ms (44.1% of total)
ival-div: 13.0ms (35.8% of total)
ival-add: 6.0ms (16.5% of total)
ival-neg: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series86.0ms (0.9%)

Memory
-34.4MiB live, 84.1MiB allocated
Counts
21 → 516
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) (patch (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) #<representation:binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation:binary64>) () ())
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation:binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) #<representation:binary64>) () ())
#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation:binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x) (patch (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x) #<representation:binary64>) () ())
#s(alt (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) (patch (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* z z) 1) (*.f64 z z)) (patch #s(approx (+ (* z z) 1) (*.f64 z z)) #<representation:binary64>) () ())
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())
#s(alt (fma.f64 (*.f64 y z) z y) (patch (fma.f64 (*.f64 y z) z y) #<representation:binary64>) () ())
#s(alt (/.f64 (/.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 #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 (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) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)) #<representation:binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) (patch (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) (patch (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) (patch (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) (patch (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation:binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation:binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation:binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x) (patch (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x) (patch (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x) (patch (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x) (patch (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x) #<representation:binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) (patch (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) (patch (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) (patch (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) (patch (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (+ (* z z) 1) (*.f64 z z)) (patch #s(approx (+ (* z z) 1) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) 1) (*.f64 z z)) (patch #s(approx (+ (* z z) 1) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) 1) (*.f64 z z)) (patch #s(approx (+ (* z z) 1) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) 1) (*.f64 z z)) (patch #s(approx (+ (* z z) 1) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) #<representation:binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (fma.f64 (*.f64 y z) z y) (patch (fma.f64 (*.f64 y z) z y) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y z) z y) (patch (fma.f64 (*.f64 y z) z y) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y z) z y) (patch (fma.f64 (*.f64 y z) z y) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y z) z y) (patch (fma.f64 (*.f64 y z) z y) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#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 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) (taylor 0 z) (#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>) () ())) ())
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#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#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 (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#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 (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#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 (/ 1 (* x (+ y (* y (pow z 2))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (+ y (* y (pow z 2))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (+ y (* y (pow z 2))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (+ y (* y (pow z 2))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) (patch (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) (patch (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) (patch (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) (patch (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y 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>) () ())) ())
#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>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x) (patch (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x) #<representation:binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x) (patch (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x) #<representation:binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x) (patch (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x) #<representation:binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x) (patch (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (+ y (* y (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (+ y (* y (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (+ y (* y (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (+ y (* y (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 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) (*.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 (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#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 (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#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 (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#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 (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (* y (+ 1 (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)) #<representation:binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
22.0ms
x
@0
((+ (* (* y z) (* z x)) (* y x)) (* y z) (* z x) (* y x) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (* z z) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)) (/ -1 (* y (+ (* z z) 1))) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (/ 1 (* (* y (+ (* z z) 1)) x)))
6.0ms
y
@0
((+ (* (* y z) (* z x)) (* y x)) (* y z) (* z x) (* y x) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (* z z) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)) (/ -1 (* y (+ (* z z) 1))) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (/ 1 (* (* y (+ (* z z) 1)) x)))
5.0ms
y
@-inf
((+ (* (* y z) (* z x)) (* y x)) (* y z) (* z x) (* y x) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (* z z) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)) (/ -1 (* y (+ (* z z) 1))) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (/ 1 (* (* y (+ (* z z) 1)) x)))
4.0ms
x
@-inf
((+ (* (* y z) (* z x)) (* y x)) (* y z) (* z x) (* y x) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (* z z) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)) (/ -1 (* y (+ (* z z) 1))) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (/ 1 (* (* y (+ (* z z) 1)) x)))
3.0ms
y
@inf
((+ (* (* y z) (* z x)) (* y x)) (* y z) (* z x) (* y x) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (* z z) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (/ (/ -1 (* y (+ (* z z) 1))) (neg x)) (/ -1 (* y (+ (* z z) 1))) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (/ 1 (* (* y (+ (* z z) 1)) x)))

simplify193.0ms (2.1%)

Memory
32.2MiB live, 308.0MiB allocated
Algorithm
egg-herbie
Rules
13 434×lower-fma.f64
13 434×lower-fma.f32
3 872×lower-*.f64
3 872×lower-*.f32
2 876×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01074649
13064638
28704591
330234514
470294514
081374217
Stop Event
iter limit
node limit
Counts
516 → 513
Calls
Call 1
Inputs
(* x y)
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(* y z)
(* y z)
(* y z)
(* y z)
(* x z)
(* x z)
(* x z)
(* x z)
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(* x y)
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
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)
(/ 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 (* 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)
(- (/ (pow z 2) y) (/ 1 y))
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))) (/ 1 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))
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Outputs
(* x y)
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(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(+ (* x y) (* x (* y (pow z 2))))
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(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
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(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 z y) x) (-.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(* x y)
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(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(+ (* x y) (* x (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(+ (* x y) (* x (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
y
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1
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(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
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(fma.f64 (*.f64 z y) z y)
(* y (+ 1 (pow z 2)))
(fma.f64 (*.f64 z y) z y)
(* y (+ 1 (pow z 2)))
(fma.f64 (*.f64 z y) z y)
(* y (+ 1 (pow z 2)))
(fma.f64 (*.f64 z y) z y)
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(* x (+ y (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (+ y (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (+ y (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (+ y (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z 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)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(* x (+ y (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (+ y (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (+ y (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (+ y (* y (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z 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)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z 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)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(* x (* y (+ 1 (pow z 2))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))

rewrite260.0ms (2.9%)

Memory
-19.7MiB live, 368.8MiB allocated
Rules
10 280×lower-fma.f32
10 274×lower-fma.f64
6 444×lower-*.f32
6 430×lower-*.f64
3 154×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032155
052151
1207147
21303147
08645147
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 483
Calls
Call 1
Inputs
(fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))
(*.f64 y z)
(*.f64 z x)
(*.f64 y x)
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) y)
(neg.f64 x)
(*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x)
(*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z)))
#s(approx (+ (* z z) 1) (*.f64 z z))
(*.f64 z z)
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 #s(literal 1 binary64) x)
(fma.f64 (*.f64 y z) z y)
(/.f64 (/.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))))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(fma.f64 z z #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
Outputs
(*.f64 (*.f64 (neg.f64 x) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) y)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (fma.f64 (*.f64 x x) (hypot.f64 (*.f64 (*.f64 z z) y) y) (*.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) y) (neg.f64 y))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 x y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 x y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (*.f64 y (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (pow.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 z z) y) y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (+ (* z z) 1) (*.f64 z z))) x))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) y)))
(neg.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ (* z z) 1) (*.f64 z z))) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x) #s(literal -1 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) (*.f64 x y))) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ (* z z) 1) (*.f64 z z)))))
(neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ (* z z) 1) (*.f64 z z))) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) (*.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) (*.f64 x y))) #s(literal -1 binary64)))

eval283.0ms (3.1%)

Memory
48.0MiB live, 515.2MiB allocated
Compiler

Compiled 39 520 to 3 051 computations (92.3% saved)

prune67.0ms (0.7%)

Memory
-4.5MiB live, 155.7MiB allocated
Pruning

23 alts after pruning (16 fresh and 7 done)

PrunedKeptTotal
New2 05262 058
Fresh31013
Picked145
Done033
Total2 056232 079
Accuracy
99.6%
Counts
2 079 → 23
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))
48.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
91.0%
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z y) z y)) (neg.f64 x))
48.3%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z)))) (neg.f64 x))
89.9%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
44.8%
(/.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))
52.7%
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) x)) (neg.f64 y))
51.7%
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x))) (neg.f64 y))
60.6%
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
92.8%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) z) z (*.f64 x y)))
97.9%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)))
97.3%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)))
91.0%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x))
51.5%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x) y))
89.1%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
48.3%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
50.9%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z))))
55.5%
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
60.6%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
44.8%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x)))
60.6%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
60.7%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
52.4%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y))
Compiler

Compiled 435 to 364 computations (16.3% saved)

simplify122.0ms (1.3%)

Memory
10.4MiB live, 206.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x)))
cost-diff128
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x))
cost-diff1024
(/.f64 (neg.f64 (*.f64 x x)) x)
cost-diff0
(*.f64 (*.f64 z z) x)
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x))
cost-diff0
#s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x)))
cost-diff0
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x))) (neg.f64 y))
cost-diff-384
(/.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
(fma.f64 z z #s(literal -1 binary64))
cost-diff0
(neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x)))
cost-diff0
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 x (*.f64 y z))
cost-diff320
(fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x))
Rules
7 568×lower-fma.f32
7 562×lower-fma.f64
3 520×lower-*.f32
3 506×lower-*.f64
1 576×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039227
062231
1129221
2273208
3784206
42641206
55716206
08110204
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)))
#s(literal 1 binary64)
(fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x))
(*.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(*.f64 y x)
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
(neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x)))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))
(fma.f64 z z #s(literal -1 binary64))
z
#s(literal -1 binary64)
(*.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 (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x))) (neg.f64 y))
#s(approx (/ (/ -1 x) (+ (* z z) 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
(neg.f64 y)
y
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 (neg.f64 (*.f64 x x)) x)
(neg.f64 (*.f64 x x))
(*.f64 x x)
x
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
#s(literal 1 binary64)
(fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(*.f64 x (*.f64 y z))
(*.f64 (*.f64 z y) x)
x
(*.f64 y z)
(*.f64 z y)
y
z
(*.f64 y x)
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x))
(neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))
(/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) x) y)
(fma.f64 z z #s(literal -1 binary64))
z
#s(literal -1 binary64)
(*.f64 y x)
y
x
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
#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)
(*.f64 z y)
y
z
x
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x))) (neg.f64 y))
#s(approx (/ (/ -1 x) (+ (* z z) 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
(neg.f64 y)
y
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x)))
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 (neg.f64 (*.f64 x x)) x)
(neg.f64 x)
(neg.f64 (*.f64 x x))
(*.f64 (neg.f64 x) x)
(*.f64 x x)
x

localize96.0ms (1.1%)

Memory
-31.7MiB live, 184.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 (*.f64 x x))
accuracy0.23046875
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x))
accuracy25.093732706336883
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x)))
accuracy30.200077722326846
(/.f64 (neg.f64 (*.f64 x x)) x)
accuracy0.3013563591782422
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x))
accuracy1.2228365005437547
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x))) (neg.f64 y))
accuracy6.355650834265569
(*.f64 (*.f64 z z) x)
accuracy30.899848048038137
#s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x)))
accuracy0
(*.f64 y z)
accuracy0.03125
(fma.f64 (*.f64 y z) z y)
accuracy0.5756565751903269
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x))
accuracy5.2160048075344285
(*.f64 (fma.f64 (*.f64 y z) z y) x)
accuracy0
(*.f64 y x)
accuracy0
(neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x)))
accuracy6.1419170758045
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))
accuracy30.118049894639913
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
accuracy0
(*.f64 y x)
accuracy0.5106281855292172
(fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x))
accuracy0.5756565751903269
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)))
accuracy3.0565656290918843
(*.f64 x (*.f64 y z))
Samples
67.0ms256×0valid
Compiler

Compiled 200 to 37 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-div: 25.0ms (52.1% of total)
ival-mult: 14.0ms (29.1% of total)
ival-add: 5.0ms (10.4% of total)
ival-neg: 3.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series51.0ms (0.6%)

Memory
-10.6MiB live, 104.9MiB allocated
Counts
21 → 576
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)) (patch (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)) #<representation:binary64>) () ())
#s(alt (*.f64 x (*.f64 y z)) (patch (*.f64 x (*.f64 y z)) #<representation:binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation:binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ())
#s(alt #s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x)))) (patch #s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x)))) #<representation:binary64>) () ())
#s(alt (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))) (patch (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))) #<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 (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 #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 (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x))) (neg.f64 y)) (patch (/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x))) (neg.f64 y)) #<representation:binary64>) () ())
#s(alt #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x))) (patch #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) 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>) () ())
#s(alt (*.f64 (*.f64 z z) x) (patch (*.f64 (*.f64 z z) x) #<representation:binary64>) () ())
#s(alt (/.f64 (neg.f64 (*.f64 x x)) x) (patch (/.f64 (neg.f64 (*.f64 x x)) x) #<representation:binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x)) #<representation:binary64>) () ())
#s(alt #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x))) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x))) #<representation:binary64>) () ())
#s(alt (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x)) (patch (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x)) #<representation:binary64>) () ())
#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation:binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)) (patch (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)) (patch (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)) (patch (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (* x (* y (pow z 2)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)) (patch (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (*.f64 x (*.f64 y z)) (patch (*.f64 x (*.f64 y z)) #<representation:binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (*.f64 x (*.f64 y z)) (patch (*.f64 x (*.f64 y z)) #<representation:binary64>) () ())) ())
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#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (*.f64 x (*.f64 y z)) (patch (*.f64 x (*.f64 y z)) #<representation:binary64>) () ())) ())
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#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 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) 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 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x))) (patch #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x))) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation:binary64>) () ())) ())
Calls

9 calls:

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

simplify170.0ms (1.9%)

Memory
0.8MiB live, 274.6MiB allocated
Algorithm
egg-herbie
Rules
6 660×lower-fma.f64
6 660×lower-fma.f32
2 992×lower-*.f64
2 992×lower-*.f32
2 830×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01265431
13545298
29715218
329715058
470005058
080224769
Stop Event
iter limit
node limit
Counts
576 → 575
Calls
Call 1
Inputs
(* x y)
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
-1
(- (pow z 2) 1)
(- (pow z 2) 1)
(- (pow z 2) 1)
(* x y)
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
y
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ -1 x)
(- (/ (pow z 2) x) (/ 1 x))
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x))
(/ -1 (* x (pow z 2)))
(/ -1 (* x (pow z 2)))
(/ -1 (* x (pow z 2)))
(/ -1 (* x (pow z 2)))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ -1 (* x y))
(- (/ (pow z 2) (* x y)) (/ 1 (* x y)))
(- (/ (pow z 2) (* x y)) (/ 1 (* x y)))
(- (/ (pow z 2) (* x y)) (/ 1 (* x y)))
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* -1 (/ (pow z 2) (* x y)))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(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))))
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ -1 (* x (pow z 2)))
(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2))
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/ -1 (* x (pow z 2)))
(/ -1 (* x (pow z 2)))
(/ -1 (* x (pow z 2)))
(/ -1 (* x (pow z 2)))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ (pow z 2) (* 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 2))))))
(* (pow z 2) (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))))
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* -1 (/ (pow z 2) (* x y)))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(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))))
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
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Outputs
(* x y)
(*.f64 y x)
(+ (* x y) (* x (* y (pow z 2))))
(*.f64 (fma.f64 (*.f64 z z) x x) y)
(+ (* x y) (* x (* y (pow z 2))))
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(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) y) (neg.f64 x))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 z y) x) (-.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) y) (neg.f64 x)))
(/ 1 (* x y))
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-1
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(*.f64 (fma.f64 (*.f64 z z) x x) y)
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(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
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(/ -1 (* x (pow z 2)))
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(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/ (- (pow z 2) 1) (* x y))
(/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) x) y)
(/ (- (pow z 2) 1) (* x y))
(/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) x) y)
(/ (- (pow z 2) 1) (* x y))
(/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) x) y)
(/ (- (pow z 2) 1) (* x y))
(/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) x) y)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)

rewrite175.0ms (1.9%)

Memory
26.5MiB live, 340.1MiB allocated
Rules
4 334×lower-fma.f32
4 328×lower-fma.f64
3 732×lower-/.f32
3 718×lower-/.f64
3 384×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039194
063194
1263185
21824170
08554168
Stop Event
iter limit
node limit
iter limit
Counts
21 → 885
Calls
Call 1
Inputs
(fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x))
(*.f64 x (*.f64 y z))
(*.f64 y z)
(*.f64 y x)
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
(neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x)))
(fma.f64 z z #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 y z) z y) x)
(fma.f64 (*.f64 y z) z y)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x))
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x))) (neg.f64 y))
#s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x))
(*.f64 (*.f64 z z) x)
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x)))
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))
(neg.f64 (*.f64 x x))
Outputs
(*.f64 (*.f64 (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) x) (pow.f64 (fma.f64 (*.f64 z z) y (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (pow.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 z z) y) y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (*.f64 (neg.f64 y) y))) (pow.f64 (fma.f64 (*.f64 z z) y (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 z z) y) y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 z z) y) x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (neg.f64 y) (*.f64 z z) y))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 (*.f64 z z) y) x) (*.f64 y x)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (neg.f64 y) (*.f64 z z) y))))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x) (neg.f64 y))
(*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 (*.f64 z z) y) x) (*.f64 y x)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y)) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 y) x) (-.f64 #s(literal -1 binary64) (*.f64 z z)))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(*.f64 (neg.f64 y) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y)))
(*.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal 1 binary64))
(*.f64 (*.f64 y x) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 y (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(*.f64 x (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))
(pow.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 z z) y (neg.f64 y)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 z z) y (neg.f64 y))))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 z z) y (neg.f64 y)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 z z) y (neg.f64 y)))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 z z) y (neg.f64 y)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 z z) y (neg.f64 y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y)) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y)))) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 z z) y (neg.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 z z) y (neg.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 z z) y (neg.f64 y)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 z z) y (neg.f64 y)))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 z z) y (neg.f64 y)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 z z) y (neg.f64 y)))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 z z) y (neg.f64 y)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 z z) y (neg.f64 y))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y)) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) x)) (fma.f64 (neg.f64 y) (*.f64 z z) y))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) (neg.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 z z) y) y) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)))) (fma.f64 (neg.f64 y) (*.f64 z z) y))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 z z) y) y) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 z z) y) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 z z) y (neg.f64 y)))) (*.f64 (*.f64 x (fma.f64 (*.f64 z z) y (neg.f64 y))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 (*.f64 x (fma.f64 (*.f64 z z) y (neg.f64 y))) (*.f64 x (fma.f64 (*.f64 z z) y (neg.f64 y)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) y)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) x) (fma.f64 (*.f64 z z) y (neg.f64 y)))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (-.f64 (hypot.f64 (*.f64 (*.f64 z z) y) y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (*.f64 (neg.f64 y) y))) (fma.f64 (*.f64 z z) y (neg.f64 y)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (hypot.f64 (*.f64 (*.f64 z z) y) y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 z z) y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 x (fma.f64 (neg.f64 y) (*.f64 z z) y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 (*.f64 z z) y) x) (*.f64 y x)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 x (fma.f64 (*.f64 z z) y (neg.f64 y))))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 (*.f64 z z) y) x) (*.f64 y x)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (-.f64 (hypot.f64 (*.f64 (*.f64 (*.f64 z z) y) x) (*.f64 y x)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) y))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x))
(/.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z z) y (neg.f64 y)) (*.f64 (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 z z) y) y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z z) y (neg.f64 y)) (*.f64 x (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 z z) y) y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 z z) y) x)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)))
(/.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal 1 binary64))
(/.f64 (*.f64 y x) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 y (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)))
(/.f64 x (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) #s(literal -1 binary64)))
(neg.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y)))
(fma.f64 (*.f64 z x) (*.f64 z y) (*.f64 y x))
(fma.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (neg.f64 y) (*.f64 z z) y))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 z z) y (neg.f64 y))))))
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(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 (neg.f64 y) x) (+.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (neg.f64 y) x))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (fma.f64 z z #s(literal -1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)) (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64)))) (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x (fma.f64 z z #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 y (fma.f64 z z #s(literal -1 binary64)))))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) y))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) y))
(-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)) (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 z z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 (*.f64 z z) (*.f64 (neg.f64 y) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) y))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 x (fma.f64 z z #s(literal -1 binary64))))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) x) y))
(*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(*.f64 (neg.f64 x) x)
(*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 #s(literal -1 binary64) (*.f64 x x))
(*.f64 x (neg.f64 x))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))
(/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64)))))
(neg.f64 (*.f64 x x))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))

eval205.0ms (2.3%)

Memory
35.6MiB live, 379.8MiB allocated
Compiler

Compiled 24 149 to 2 554 computations (89.4% saved)

prune130.0ms (1.4%)

Memory
-20.5MiB live, 138.9MiB allocated
Pruning

26 alts after pruning (16 fresh and 10 done)

PrunedKeptTotal
New1 54071 547
Fresh2911
Picked235
Done077
Total1 544261 570
Accuracy
99.8%
Counts
1 570 → 26
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))
48.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
91.0%
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z y) z y)) (neg.f64 x))
48.3%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z)))) (neg.f64 x))
89.9%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
52.7%
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) x)) (neg.f64 y))
57.1%
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z x) z))) (neg.f64 y))
60.6%
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
57.1%
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (neg.f64 y))
92.8%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y x) z) z (*.f64 y x)))
97.9%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)))
97.3%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)))
91.0%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x))
51.5%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x) y))
89.1%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
48.3%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z))) x))
50.9%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z))))
92.4%
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (fma.f64 (*.f64 z z) x x) y)))
90.1%
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)))
55.5%
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
60.6%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
60.6%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
43.9%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (*.f64 (neg.f64 x) x)))
45.6%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 x (*.f64 (*.f64 x x) y)))
60.7%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
52.4%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y))
Compiler

Compiled 770 to 388 computations (49.6% saved)

regimes136.0ms (1.5%)

Memory
-17.8MiB live, 192.2MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 x (*.f64 (*.f64 x x) y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z))))
(/.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 (+ (* z z) 1) (*.f64 z z)) x) y))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (fma.f64 (*.f64 z z) x x) y)))
(/.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 (/.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(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) x)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) z) z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y x) z) z (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (*.f64 (neg.f64 x) x)))
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z x) z))) (neg.f64 y))
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x))) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y #s(approx (+ (* z z) 1) (*.f64 z z)))) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (neg.f64 (fma.f64 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 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 x) y))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z y) z y)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (neg.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y 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 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y x))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 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))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)))
Calls

8 calls:

29.0ms
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
21.0ms
y
17.0ms
x
16.0ms
(*.f64 z z)
15.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
97.9%1x
97.9%1y
97.9%1z
97.9%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
97.9%1(/.f64 #s(literal 1 binary64) x)
97.9%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
97.9%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
97.9%1(*.f64 z z)
Compiler

Compiled 32 to 40 computations (-25% saved)

regimes52.0ms (0.6%)

Memory
-4.8MiB live, 109.6MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 x (*.f64 (*.f64 x x) y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z))))
(/.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 (+ (* z z) 1) (*.f64 z z)) x) y))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (fma.f64 (*.f64 z z) x x) y)))
(/.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 (/.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(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) x)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (fma.f64 (*.f64 z z) x x) y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)))
Calls

8 calls:

9.0ms
y
7.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
6.0ms
(/.f64 #s(literal 1 binary64) x)
6.0ms
z
6.0ms
x
Results
AccuracySegmentsBranch
99.0%2z
97.3%1(/.f64 #s(literal 1 binary64) x)
99.0%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.0%2(*.f64 z z)
97.3%1x
97.3%1y
97.3%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
97.3%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Compiler

Compiled 32 to 40 computations (-25% saved)

regimes46.0ms (0.5%)

Memory
24.3MiB live, 110.1MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 x (*.f64 (*.f64 x x) y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z))))
(/.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 (+ (* z z) 1) (*.f64 z z)) x) y))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (fma.f64 (*.f64 z z) x x) y)))
(/.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 (/.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(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) x)) (neg.f64 y))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))))
Calls

8 calls:

7.0ms
z
6.0ms
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
6.0ms
(/.f64 #s(literal 1 binary64) x)
5.0ms
y
5.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
92.4%1x
94.3%2y
92.4%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
92.4%1(/.f64 #s(literal 1 binary64) x)
92.4%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
94.3%2z
94.3%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
94.3%2(*.f64 z z)
Compiler

Compiled 32 to 40 computations (-25% saved)

regimes7.0ms (0.1%)

Memory
-22.7MiB live, 15.4MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 x (*.f64 (*.f64 x x) y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z))))
(/.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 (+ (* z z) 1) (*.f64 z z)) x) y))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (fma.f64 (*.f64 z z) x x) y)))
(/.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 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (fma.f64 (*.f64 z z) x x) y)))
Calls

1 calls:

7.0ms
y
Results
AccuracySegmentsBranch
94.3%2y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes46.0ms (0.5%)

Memory
26.4MiB live, 63.6MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 x (*.f64 (*.f64 x x) y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z))))
(/.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 (+ (* z z) 1) (*.f64 z z)) x) y))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (fma.f64 (*.f64 z z) x x) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (fma.f64 (*.f64 z z) x x) y)))
Calls

5 calls:

29.0ms
z
5.0ms
y
4.0ms
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
4.0ms
(*.f64 z z)
4.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
92.4%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
92.4%1z
92.4%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
92.4%1(*.f64 z z)
92.4%1y
Compiler

Compiled 21 to 25 computations (-19% saved)

regimes60.0ms (0.7%)

Memory
-5.7MiB live, 39.1MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 x (*.f64 (*.f64 x x) y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z))))
(/.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 (+ (* z z) 1) (*.f64 z z)) x) y))
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 (+ (* z z) 1) (*.f64 z z)) x) y))
Calls

8 calls:

33.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
4.0ms
z
4.0ms
x
4.0ms
(/.f64 #s(literal 1 binary64) x)
4.0ms
y
Results
AccuracySegmentsBranch
66.9%4(/.f64 #s(literal 1 binary64) x)
92.4%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
92.4%2(*.f64 z z)
66.9%4x
65.6%2y
92.4%2z
78.0%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
77.6%2(/.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)

regimes24.0ms (0.3%)

Memory
-21.0MiB live, 16.6MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 x (*.f64 (*.f64 x x) y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z))))
(/.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

3 calls:

16.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
4.0ms
z
3.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
89.9%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
89.9%2(*.f64 z z)
89.9%2z
Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes8.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 x (*.f64 (*.f64 x x) y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 z z)) x)))
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:

3.0ms
z
3.0ms
(*.f64 z z)
2.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
89.1%2z
89.1%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
89.1%2(*.f64 z z)
Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes39.0ms (0.4%)

Memory
-2.1MiB live, 34.5MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 x (*.f64 (*.f64 x x) y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y x))))
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
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 x (*.f64 (*.f64 x x) y)))
Calls

8 calls:

21.0ms
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
3.0ms
(/.f64 #s(literal 1 binary64) x)
3.0ms
y
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
62.5%2x
62.5%2(/.f64 #s(literal 1 binary64) x)
60.7%1y
62.4%2(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
60.7%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
62.6%2z
62.6%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
62.6%2(*.f64 z z)
Compiler

Compiled 32 to 40 computations (-25% saved)

regimes7.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 x (*.f64 (*.f64 x x) y)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
Outputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 x (*.f64 (*.f64 x x) y)))
Calls

4 calls:

2.0ms
z
2.0ms
x
2.0ms
(*.f64 z z)
2.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
62.5%2x
62.4%2z
62.4%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
62.4%2(*.f64 z z)
Compiler

Compiled 10 to 16 computations (-60% saved)

regimes46.0ms (0.5%)

Memory
-17.9MiB live, 18.9MiB 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

7 calls:

38.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
1.0ms
z
1.0ms
(/.f64 #s(literal 1 binary64) x)
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
60.7%1y
60.7%1z
60.7%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
60.7%1(*.f64 z z)
60.7%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
60.7%1(/.f64 #s(literal 1 binary64) x)
60.7%1x
Compiler

Compiled 25 to 33 computations (-32% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.102619392541988e+282
1.2420710402035489e+284
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch5.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
4.0ms
113644876655472.14
299595553152199.3
Samples
3.0ms48×0valid
Compiler

Compiled 77 to 75 computations (2.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (66.3% of total)
ival-mult: 1.0ms (66.3% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
1.0ms
4.068687662472265e-40
5.433564151901035e-38
Samples
1.0ms16×0valid
Compiler

Compiled 35 to 34 computations (2.9% saved)

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

bsearch29.0ms (0.3%)

Memory
-41.2MiB live, 25.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
0.00015465142961339508
34738826.63039023
Samples
22.0ms160×0valid
Compiler

Compiled 214 to 215 computations (-0.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (41.5% of total)
ival-mult: 2.0ms (41.5% of total)
ival-add: 1.0ms (20.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.00015465142961339508
34738826.63039023
Compiler

Compiled 214 to 215 computations (-0.5% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3917064681466893e-8
1206786075656309.3
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3917064681466893e-8
1206786075656309.3
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch7.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
6.0ms
1.3249580506332537e+31
1.3518495438790535e+32
Samples
3.0ms64×0valid
Compiler

Compiled 70 to 79 computations (-12.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (51.7% of total)
ival-mult: 1.0ms (51.7% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify38.0ms (0.4%)

Memory
19.5MiB live, 55.9MiB allocated
Algorithm
egg-herbie
Rules
44×*-commutative-binary64-*.f64
18×neg-sub0-binary64--.f64-neg.f64
18×neg-mul-1-binary64-*.f64-neg.f64
16×+-commutative-binary64-+.f64
16×sub-neg-binary64-neg.f64-+.f64--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078366
1100366
2113366
3130366
4141366
5149366
6152366
7153366
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)))
(if (<=.f64 (*.f64 z z) #s(literal 4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (fma.f64 (*.f64 z z) x x) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x))))
(if (<=.f64 y #s(literal 120000000000000 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (fma.f64 (*.f64 z z) x x) y))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (fma.f64 (*.f64 z z) x x) y)))
(if (<=.f64 z #s(literal 7656119366529843/9007199254740992 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 (+ (* z z) 1) (*.f64 z z)) x) y)))
(if (<=.f64 z #s(literal 7656119366529843/9007199254740992 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 3022314549036573/75557863725914323419136 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 3022314549036573/75557863725914323419136 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 x (*.f64 (*.f64 x x) y))))
(if (<=.f64 x #s(literal 39999999999999998543585179860992 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 x (*.f64 (*.f64 x x) y))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (*.f64 x z) (*.f64 x y)))
(if (<=.f64 (*.f64 z z) #s(literal 4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (fma.f64 (*.f64 z z) x x) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x))))
(if (<=.f64 (*.f64 z z) #s(literal 4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (fma.f64 (*.f64 z z) x x) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 z y)) z (*.f64 x y))))
(if (<=.f64 y #s(literal 120000000000000 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal 120000000000000 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) (/.f64 (neg.f64 #s(literal -1 binary64)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))))
(if (<=.f64 y #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (fma.f64 (*.f64 z z) x x) y))))
(if (<=.f64 y #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (fma.f64 (*.f64 z z) x x) y))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (fma.f64 (*.f64 z z) x x) y)))
(if (<=.f64 z #s(literal 7656119366529843/9007199254740992 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 (+ (* z z) 1) (*.f64 z z)) x) y)))
(if (<=.f64 z #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x) y)))
(if (<=.f64 z #s(literal 7656119366529843/9007199254740992 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 z #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (* z z)) (*.f64 z z)) (*.f64 x y))))
(if (<=.f64 (*.f64 z z) #s(literal 3022314549036573/75557863725914323419136 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 3022314549036573/75557863725914323419136 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 x y))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))))
(if (<=.f64 (*.f64 z z) #s(literal 3022314549036573/75557863725914323419136 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 x (*.f64 (*.f64 x x) y))))
(if (<=.f64 (*.f64 z z) #s(literal 3022314549036573/75557863725914323419136 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 x y))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 x (*.f64 (*.f64 x x) y))))
(if (<=.f64 x #s(literal 39999999999999998543585179860992 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 x (*.f64 (*.f64 x x) y))))
(if (<=.f64 x #s(literal 39999999999999998543585179860992 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 x (*.f64 (*.f64 x x) 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 #s(literal 1 binary64) (*.f64 x y)))

soundness1.7s (19.1%)

Memory
16.9MiB live, 1 280.5MiB allocated
Rules
18 180×lower-fma.f64
18 180×lower-fma.f32
10 280×lower-fma.f32
10 274×lower-fma.f64
6 802×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032155
052151
1207147
21303147
08645147
01265431
13545298
29715218
329715058
470005058
080224769
0894216
12454205
26764149
325504012
465933988
082563725
039194
063194
1263185
21824170
08554168
029139
046136
1179133
21153133
08283133
052814
1135812
2390807
31474790
43968754
57660754
08222693
0929
01429
15829
236029
3275029
0907326
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 865 to 470 computations (45.7% saved)

preprocess314.0ms (3.5%)

Memory
-17.6MiB live, 616.1MiB allocated
Remove

(negabs y)

(abs z)

Compiler

Compiled 1 620 to 800 computations (50.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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