Linear.Quaternion:$c/ from linear-1.19.1.3, A

Time bar (total: 6.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 17 to 10 computations (41.2% saved)

sample650.0ms (10.4%)

Memory
39.7MiB live, 881.3MiB allocated
Samples
405.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 229.0ms
ival-mult: 112.0ms (49% of total)
ival-add: 108.0ms (47.3% of total)
ival-true: 6.0ms (2.6% of total)
ival-assert: 3.0ms (1.3% of total)
Bogosity

explain128.0ms (2.1%)

Memory
-20.7MiB live, 196.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
70-0-(+.f64 (*.f64 x y) (*.f64 z z))
30-0-(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
30-0-(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
00-0-y
00-0-(*.f64 z z)
00-0-z
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 x y) (*.f64 z z))nan-rescue70
↳(*.f64 x y)overflow28
↳(*.f64 z z)overflow68
+.f64(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))nan-rescue30
↳(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))overflow88
↳(+.f64 (*.f64 x y) (*.f64 z z))overflow88
↳(*.f64 x y)overflow28
↳(*.f64 z z)overflow136
↳(*.f64 z z)overflow68
+.f64(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))nan-rescue30
↳(+.f64 (*.f64 x y) (*.f64 z z))overflow88
↳(*.f64 x y)overflow28
↳(*.f64 z z)overflow68
↳(*.f64 z z)overflow68
Confusion
Predicted +Predicted -
+70
-0249
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+700
-00249
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0249
14
33
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
32.0ms512×0valid
Compiler

Compiled 145 to 36 computations (75.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-add: 10.0ms (56.8% of total)
ival-mult: 7.0ms (39.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess81.0ms (1.3%)

Memory
22.1MiB live, 60.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037142
1129120
237384
394682
4209381
5301781
6350181
7366681
8378681
9378681
0815
01315
12813
2909
32709
46439
59329
611849
712929
813729
013728
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
Outputs
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
Symmetry

(abs z)

(sort x y)

Compiler

Compiled 15 to 8 computations (46.7% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.1%
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify28.0ms (0.5%)

Memory
-19.2MiB live, 18.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff1
(+.f64 (*.f64 x y) (*.f64 z z))
cost-diff2
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
cost-diff4
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0842
01342
12838
29034
327034
464334
593234
6118434
7129234
8137234
0137231
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
(+.f64 (*.f64 x y) (*.f64 z z))
(*.f64 x y)
x
y
(*.f64 z z)
z
Outputs
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
(fma.f64 #s(literal 2 binary64) (*.f64 z z) (*.f64 y x))
(+.f64 (*.f64 x y) (*.f64 z z))
(fma.f64 z z (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 z z)
z

localize34.0ms (0.5%)

Memory
-8.5MiB live, 30.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x y)
accuracy0.7539000574906174
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
accuracy0.8164000574906174
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
accuracy1.5585875574906176
(+.f64 (*.f64 x y) (*.f64 z z))
Samples
14.0ms256×0valid
Compiler

Compiled 86 to 18 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (45.8% of total)
ival-mult: 3.0ms (45.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
4 → 24
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
(+.f64 (*.f64 x y) (*.f64 z z))
(*.f64 x y)
Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(pow z 2)
(+ (* x y) (pow z 2))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
Calls

9 calls:

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

simplify154.0ms (2.5%)

Memory
21.4MiB live, 100.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070208
1281180
2997180
34202180
08237161
Stop Event
1×iter limit
1×node limit
Counts
24 → 24
Calls
Call 1
Inputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(pow z 2)
(+ (* x y) (pow z 2))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))
(* 2 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 2 binary64))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 y x (*.f64 (*.f64 z z) #s(literal 2 binary64)))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 y x (*.f64 z z))
(* x y)
(*.f64 y x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))
(* x (+ y (* 2 (/ (pow z 2) x))))
(fma.f64 y x (*.f64 (*.f64 z z) #s(literal 2 binary64)))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 y x (*.f64 z z))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 y x (*.f64 (*.f64 z z) #s(literal 2 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 y x (*.f64 z z))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))
(* y (+ x (* 2 (/ (pow z 2) y))))
(fma.f64 y x (*.f64 (*.f64 z z) #s(literal 2 binary64)))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 y x (*.f64 z z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 y x (*.f64 (*.f64 z z) #s(literal 2 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 y x (*.f64 z z))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 y x (*.f64 (*.f64 z z) #s(literal 2 binary64)))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 y x (*.f64 z z))

rewrite291.0ms (4.7%)

Memory
-20.8MiB live, 171.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
01336
16332
263724
0921220
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 244
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
(+.f64 (*.f64 x y) (*.f64 z z))
(*.f64 x y)
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))) (/.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))) (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))))) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)))) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 y x))) (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 y x))) (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 y x))) (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 y x))) (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)))))) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))) (/.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))) (*.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)) (*.f64 (*.f64 y x) (fma.f64 z z #s(literal 0 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64))) (*.f64 (*.f64 y x) (fma.f64 z z #s(literal 0 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 y x))) (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 y x))) (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 y x))) (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 y x))) (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 y x))) (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 y x))) (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 y x))) (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 y x))) (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64))))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 y x))))))
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(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (*.f64 (neg.f64 z) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 y x) (fma.f64 y x (*.f64 (neg.f64 z) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (fma.f64 z z (*.f64 y x))))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 y x))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 y x))
(fma.f64 z z (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 z z (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 z z (*.f64 y x))
(fma.f64 y x (*.f64 z z))
(fma.f64 x y (*.f64 z z))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 z z) (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 y x))))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (*.f64 (neg.f64 z) z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 y) x (*.f64 z z))))
(-.f64 (*.f64 z z) (*.f64 (neg.f64 y) x))
(-.f64 (*.f64 y x) (*.f64 (neg.f64 z) z))
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 y x) (fma.f64 y x (*.f64 (neg.f64 z) z))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 y x) (fma.f64 y x (*.f64 (neg.f64 z) z))))))
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 y x) (fma.f64 y x (*.f64 (neg.f64 z) z))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 y x) (fma.f64 y x (*.f64 (neg.f64 z) z))))))
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (*.f64 (neg.f64 z) z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 y) x (*.f64 z z))))
(+.f64 (*.f64 z z) (*.f64 (neg.f64 (neg.f64 y)) x))
(+.f64 (*.f64 z z) (*.f64 (neg.f64 (neg.f64 x)) y))
(+.f64 (*.f64 z z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z z))
(*.f64 y x)
(*.f64 x y)

eval88.0ms (1.4%)

Memory
2.6MiB live, 38.1MiB allocated
Compiler

Compiled 8 183 to 794 computations (90.3% saved)

prune4.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2474251
Fresh000
Picked101
Done000
Total2484252
Accuracy
100.0%
Counts
252 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.7%
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
▶75.1%
(fma.f64 y x (fma.f64 z z #s(literal 0 binary64)))
▶98.3%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)))
▶56.3%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
Compiler

Compiled 59 to 37 computations (37.3% saved)

simplify53.0ms (0.8%)

Memory
-9.9MiB live, 45.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
cost-diff1
(fma.f64 y x #s(literal 0 binary64))
cost-diff0
(fma.f64 y x (fma.f64 z z #s(literal 0 binary64)))
cost-diff1
(fma.f64 z z #s(literal 0 binary64))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 #s(literal 3 binary64) z)
cost-diff0
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))
cost-diff0
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)))
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 z z))
cost-diff0
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021103
03297
16593
217685
347985
4102285
5136985
6165185
7178185
8190185
0190185
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
#s(literal 3 binary64)
(*.f64 z z)
z
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)))
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))
(*.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
z
(*.f64 y x)
y
x
(fma.f64 y x (fma.f64 z z #s(literal 0 binary64)))
y
x
(fma.f64 z z #s(literal 0 binary64))
z
#s(literal 0 binary64)
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
z
(fma.f64 y x #s(literal 0 binary64))
y
x
#s(literal 0 binary64)
Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 (*.f64 #s(literal 3 binary64) z) z)
#s(literal 3 binary64)
(*.f64 z z)
z
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)))
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))
(*.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
z
(*.f64 y x)
y
x
(fma.f64 y x (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 y x (*.f64 z z))
y
x
(fma.f64 z z #s(literal 0 binary64))
(*.f64 z z)
z
#s(literal 0 binary64)
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 y x (*.f64 z z))
z
(fma.f64 y x #s(literal 0 binary64))
(*.f64 y x)
y
x
#s(literal 0 binary64)

localize95.0ms (1.5%)

Memory
24.8MiB live, 94.6MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 y x #s(literal 0 binary64))
accuracy1.0117077404222408
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
accuracy0.0
(fma.f64 z z #s(literal 0 binary64))
accuracy0.7538979928166806
(fma.f64 y x (fma.f64 z z #s(literal 0 binary64)))
accuracy0.0
(*.f64 y x)
accuracy0.0
(*.f64 #s(literal 3 binary64) z)
accuracy0.0
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)))
accuracy1.0624889904222408
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))
accuracy0.0
(*.f64 z z)
accuracy0.11328125
(*.f64 #s(literal 3 binary64) (*.f64 z z))
accuracy27.8918805810119
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
Samples
53.0ms256×0valid
Compiler

Compiled 200 to 42 computations (79% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 9.0ms (51.9% of total)
ival-add: 8.0ms (46.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series119.0ms (1.9%)

Memory
-18.1MiB live, 17.7MiB allocated
Counts
11 → 22
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 z z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)))
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))
(*.f64 #s(literal 3 binary64) z)
(*.f64 y x)
(fma.f64 z z #s(literal 0 binary64))
(fma.f64 y x (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 y x #s(literal 0 binary64))
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(pow z 2)
(+ (* x y) (pow z 2))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* 3 z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@inf
((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* z z) 0) (+ (* y x) (+ (* z z) 0)) (+ (* y x) 0) (+ (* z z) (+ (* y x) 0)))
1.0ms
z
@-inf
((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* z z) 0) (+ (* y x) (+ (* z z) 0)) (+ (* y x) 0) (+ (* z z) (+ (* y x) 0)))
1.0ms
z
@0
((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* z z) 0) (+ (* y x) (+ (* z z) 0)) (+ (* y x) 0) (+ (* z z) (+ (* y x) 0)))
1.0ms
x
@-inf
((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* z z) 0) (+ (* y x) (+ (* z z) 0)) (+ (* y x) 0) (+ (* z z) (+ (* y x) 0)))
1.0ms
x
@inf
((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* z z) 0) (+ (* y x) (+ (* z z) 0)) (+ (* y x) 0) (+ (* z z) (+ (* y x) 0)))

simplify143.0ms (2.3%)

Memory
21.8MiB live, 140.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070204
1276160
2948160
33781160
08253143
Stop Event
1×iter limit
1×node limit
Counts
22 → 22
Calls
Call 1
Inputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(pow z 2)
(+ (* x y) (pow z 2))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* 3 z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(* x y)
(*.f64 y x)
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(* x (+ y (* 3 (/ (pow z 2) x))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(* y (+ x (* 3 (/ (pow z 2) y))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 z z (*.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 z z (*.f64 y x))
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))

rewrite299.0ms (4.8%)

Memory
-30.9MiB live, 291.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02189
03283
116379
2190979
0880877
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 2 161
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 z z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)))
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))
(*.f64 #s(literal 3 binary64) z)
(*.f64 y x)
(fma.f64 z z #s(literal 0 binary64))
(fma.f64 y x (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 y x #s(literal 0 binary64))
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))
(*.f64 (/.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (neg.f64 z))))
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) z))
(*.f64 (/.f64 #s(literal 3 binary64) (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) (neg.f64 z)) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) (neg.f64 z)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 3 binary64) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (pow.f64 z #s(literal 4 binary64)) z))
(*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (neg.f64 z))) (/.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 z))))
(*.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (neg.f64 z)))
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(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 y x) (*.f64 (neg.f64 z) z))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 y x) (*.f64 (neg.f64 z) z))))))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 y x) z) z)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 y x) z) z)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y x) z) z)) (/.f64 (*.f64 (*.f64 y x) (pow.f64 z #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 y x) z) z)))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (*.f64 y x) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 y x) (pow.f64 z #s(literal 6 binary64))) (*.f64 (*.f64 y x) (pow.f64 z #s(literal 4 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 z z)) (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 y x (*.f64 z z))))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))))
(-.f64 (*.f64 y x) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 z)))
(-.f64 (*.f64 y x) (*.f64 (neg.f64 z) z))
(-.f64 (*.f64 y x) (*.f64 z z))
(-.f64 (fma.f64 y x (*.f64 z z)) (/.f64 #s(literal 0 binary64) (fma.f64 y x (*.f64 z z))))
(-.f64 (fma.f64 y x (*.f64 z z)) #s(literal 0 binary64))
(-.f64 (*.f64 z z) (*.f64 (neg.f64 x) y))
(-.f64 (*.f64 z z) (*.f64 (neg.f64 y) x))
(+.f64 (/.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x (*.f64 z z)) #s(literal 0 binary64))))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x (*.f64 z z)) #s(literal 0 binary64))))))
(+.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y x)) (*.f64 (*.f64 (*.f64 y x) z) z)) (/.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y x) z) z)))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 z z) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 y x)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y x))) (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y x))))
(+.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y x) z) z)) (/.f64 (*.f64 (*.f64 y x) (pow.f64 z #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 y x) z) z)))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (*.f64 y x) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 y x) (pow.f64 z #s(literal 6 binary64))) (*.f64 (*.f64 y x) (pow.f64 z #s(literal 4 binary64)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 z z)) (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (*.f64 z z))) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 z z)) (fma.f64 y x (*.f64 z z))))
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 y x)) (fma.f64 z z (*.f64 (neg.f64 x) y))))
(+.f64 #s(literal 0 binary64) (fma.f64 y x (*.f64 z z)))
(+.f64 (*.f64 y x) (*.f64 (neg.f64 (neg.f64 z)) z))
(+.f64 (*.f64 y x) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 z)))
(+.f64 (*.f64 y x) (-.f64 #s(literal 0 binary64) (*.f64 z z)))
(+.f64 (*.f64 y x) (*.f64 (neg.f64 z) z))
(+.f64 (*.f64 y x) (*.f64 z z))
(+.f64 (fma.f64 y x (*.f64 z z)) #s(literal 0 binary64))
(+.f64 (*.f64 z z) (*.f64 y x))

eval200.0ms (3.2%)

Memory
19.4MiB live, 150.8MiB allocated
Compiler

Compiled 36 365 to 3 007 computations (91.7% saved)

prune75.0ms (1.2%)

Memory
-31.4MiB live, 90.3MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1 20571 212
Fresh000
Picked314
Done000
Total1 20881 216
Accuracy
100.0%
Counts
1 216 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.7%
(fma.f64 z z (*.f64 y x))
▶75.1%
(fma.f64 y x (*.f64 z z))
▶98.7%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z)))
15.7%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 z z)))
▶56.3%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))
✓56.3%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
44.1%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))
▶34.3%
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))
Compiler

Compiled 255 to 160 computations (37.3% saved)

simplify85.0ms (1.4%)

Memory
10.3MiB live, 44.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 z z (*.f64 y x))
cost-diff0
(*.f64 z z)
cost-diff0
(fma.f64 y x (*.f64 z z))
cost-diff0
(*.f64 #s(literal 3 binary64) z)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) z) z)
cost-diff0
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))
cost-diff0
(*.f64 z z)
cost-diff0
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))
cost-diff0
(*.f64 #s(literal 3 binary64) z)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) z) z)
cost-diff0
(fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z))
cost-diff0
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023116
031111
161107
218599
347999
497299
5132899
6161099
7174099
8186099
0186099
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z)))
(fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z))
y
x
(*.f64 (*.f64 #s(literal 3 binary64) z) z)
(*.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
z
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))
(*.f64 z z)
z
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))
(*.f64 (*.f64 #s(literal 3 binary64) z) z)
(*.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
z
(fma.f64 y x (*.f64 z z))
y
x
(*.f64 z z)
z
(fma.f64 z z (*.f64 y x))
z
(*.f64 y x)
y
x
Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)))
(fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z))
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))
y
x
(*.f64 (*.f64 #s(literal 3 binary64) z) z)
(*.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
z
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))
(*.f64 z z)
z
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))
(*.f64 (*.f64 #s(literal 3 binary64) z) z)
(*.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
z
(fma.f64 y x (*.f64 z z))
y
x
(*.f64 z z)
z
(fma.f64 z z (*.f64 y x))
(fma.f64 y x (*.f64 z z))
z
(*.f64 y x)
y
x

localize70.0ms (1.1%)

Memory
27.8MiB live, 101.9MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y x)
accuracy1.0117077404222408
(fma.f64 z z (*.f64 y x))
accuracy0.0
(*.f64 z z)
accuracy0.7538979928166806
(fma.f64 y x (*.f64 z z))
accuracy0.0
(*.f64 #s(literal 3 binary64) z)
accuracy0.1015625
(*.f64 (*.f64 #s(literal 3 binary64) z) z)
accuracy27.8918805810119
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))
accuracy0.0
(*.f64 z z)
accuracy27.917239095097013
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))
accuracy0.0
(*.f64 #s(literal 3 binary64) z)
accuracy0.0
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z)))
accuracy0.1015625
(*.f64 (*.f64 #s(literal 3 binary64) z) z)
accuracy0.7499917428166807
(fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z))
Samples
59.0ms256×0valid
Compiler

Compiled 218 to 43 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 36.0ms (80.6% of total)
ival-add: 8.0ms (17.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series72.0ms (1.2%)

Memory
-32.3MiB live, 12.7MiB allocated
Counts
10 → 22
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z)))
(fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z))
(*.f64 (*.f64 #s(literal 3 binary64) z) z)
(*.f64 #s(literal 3 binary64) z)
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))
(*.f64 z z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))
(fma.f64 y x (*.f64 z z))
(fma.f64 z z (*.f64 y x))
(*.f64 y x)
Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(pow z 2)
(+ (* x y) (pow z 2))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* 3 z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
Calls

9 calls:

TimeVariablePointExpression
66.0ms
y
@-inf
((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* y x) (* (* 3 z) z)) (* (* 3 z) z) (* 3 z) (+ (* y x) (+ (* z z) 0)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* y x) (* z z)) (+ (* z z) (* y x)) (* y x))
1.0ms
z
@inf
((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* y x) (* (* 3 z) z)) (* (* 3 z) z) (* 3 z) (+ (* y x) (+ (* z z) 0)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* y x) (* z z)) (+ (* z z) (* y x)) (* y x))
1.0ms
z
@-inf
((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* y x) (* (* 3 z) z)) (* (* 3 z) z) (* 3 z) (+ (* y x) (+ (* z z) 0)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* y x) (* z z)) (+ (* z z) (* y x)) (* y x))
1.0ms
z
@0
((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* y x) (* (* 3 z) z)) (* (* 3 z) z) (* 3 z) (+ (* y x) (+ (* z z) 0)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* y x) (* z z)) (+ (* z z) (* y x)) (* y x))
1.0ms
x
@-inf
((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* y x) (* (* 3 z) z)) (* (* 3 z) z) (* 3 z) (+ (* y x) (+ (* z z) 0)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* y x) (* z z)) (+ (* z z) (* y x)) (* y x))

simplify200.0ms (3.2%)

Memory
12.4MiB live, 166.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070204
1276160
2948160
33781160
08253143
Stop Event
1×iter limit
1×node limit
Counts
22 → 22
Calls
Call 1
Inputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(pow z 2)
(+ (* x y) (pow z 2))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* 3 z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(* x (+ y (* 3 (/ (pow z 2) x))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(* y (+ x (* 3 (/ (pow z 2) y))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 z z (*.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 z z (*.f64 y x))
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))

rewrite330.0ms (5.3%)

Memory
-9.4MiB live, 228.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02392
03187
115083
2160183
0853081
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 917
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z)))
(fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z))
(*.f64 (*.f64 #s(literal 3 binary64) z) z)
(*.f64 #s(literal 3 binary64) z)
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))
(*.f64 z z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))
(fma.f64 y x (*.f64 z z))
(fma.f64 z z (*.f64 y x))
(*.f64 y x)
Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z))))) (*.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z)))))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z))))))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y))) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 (neg.f64 x) y)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) z)) z) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) z)) z))) (-.f64 (*.f64 y x) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) z)) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 z z)) (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (fma.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 z z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 z z)) (*.f64 #s(literal -3 binary64) (*.f64 z z)) (*.f64 (*.f64 y x) (*.f64 #s(literal -3 binary64) (*.f64 z z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) (*.f64 #s(literal 3 binary64) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 y x) (*.f64 (neg.f64 z) (*.f64 #s(literal 3 binary64) z))))))
(/.f64 (-.f64 (*.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 (neg.f64 x) y)))))
(/.f64 (-.f64 (*.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 (neg.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) z)) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) z)) z) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) z)) z)) (*.f64 (*.f64 y x) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) z)) z)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 y x) (*.f64 (*.f64 #s(literal -3 binary64) z) z))))))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 (neg.f64 y) x)))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 y x)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 y x) (*.f64 (*.f64 #s(literal -3 binary64) z) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 z z))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 z z)))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (neg.f64 z))) (*.f64 y x))
(fma.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (neg.f64 z)) (*.f64 y x))
(fma.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) z) (*.f64 y x))
(fma.f64 (/.f64 #s(literal 3 binary64) (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64)) (*.f64 y x))
(fma.f64 (/.f64 #s(literal 3 binary64) (neg.f64 z)) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 y x))
(fma.f64 (/.f64 #s(literal 3 binary64) (neg.f64 z)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 z)) (*.f64 y x))
(fma.f64 (/.f64 #s(literal 3 binary64) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)) (*.f64 y x))
(fma.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 y x))
(fma.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (pow.f64 z #s(literal 4 binary64)) z) (*.f64 y x))
(fma.f64 (fabs.f64 (*.f64 #s(literal -3 binary64) z)) z (*.f64 y x))
(fma.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) z)) z (*.f64 y x))
(fma.f64 (*.f64 #s(literal -3 binary64) z) (neg.f64 z) (*.f64 y x))
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(fma.f64 z (fabs.f64 (*.f64 #s(literal 3 binary64) z)) (*.f64 y x))
(fma.f64 z (*.f64 #s(literal 3 binary64) z) (*.f64 y x))
(fma.f64 y x (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) z)) z))
(fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z))
(fma.f64 x y (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) z)) z))
(fma.f64 x y (*.f64 (*.f64 #s(literal 3 binary64) z) z))
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 y x))))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 y x) (*.f64 (*.f64 #s(literal -3 binary64) z) z))))) (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 y x) (*.f64 (*.f64 #s(literal -3 binary64) z) z))))))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z)))))
(-.f64 (*.f64 y x) (*.f64 #s(literal -3 binary64) (*.f64 z z)))
(-.f64 (*.f64 y x) (*.f64 (neg.f64 z) (*.f64 #s(literal 3 binary64) z)))
(-.f64 (*.f64 y x) (*.f64 (*.f64 #s(literal -3 binary64) z) z))
(-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 (neg.f64 x) y))
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eval142.0ms (2.3%)

Memory
18.0MiB live, 137.5MiB allocated
Compiler

Compiled 20 542 to 1 700 computations (91.7% saved)

prune18.0ms (0.3%)

Memory
24.6MiB live, 61.1MiB allocated
Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New8891890
Fresh022
Picked055
Done011
Total8899898
Accuracy
100.0%
Counts
898 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓74.7%
(fma.f64 z z (*.f64 y x))
✓75.1%
(fma.f64 y x (*.f64 z z))
✓98.7%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z)))
▶15.7%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 z z)))
✓56.3%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))
✓56.3%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
▶44.1%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))
▶5.6%
#s(approx (+ (* y x) (+ (* z z) 0)) (-.f64 (*.f64 (neg.f64 z) z) #s(literal 0 binary64)))
✓34.3%
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))
Compiler

Compiled 154 to 99 computations (35.7% saved)

simplify129.0ms (2.1%)

Memory
-29.3MiB live, 60.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 z #s(literal 4 binary64))
cost-diff0
(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64))
cost-diff0
(/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 z z))
cost-diff0
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 z z)))
cost-diff0
(pow.f64 z #s(literal 4 binary64))
cost-diff0
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
cost-diff0
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) z)
cost-diff0
#s(approx (+ (* y x) (+ (* z z) 0)) (-.f64 (*.f64 (neg.f64 z) z) #s(literal 0 binary64)))
cost-diff2
(-.f64 (*.f64 (neg.f64 z) z) #s(literal 0 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027117
036111
165107
216899
346099
4104199
5144999
6176199
7192199
8203099
9203399
0203396
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (* y x) (+ (* z z) 0)) (-.f64 (*.f64 (neg.f64 z) z) #s(literal 0 binary64)))
(-.f64 (*.f64 (neg.f64 z) z) #s(literal 0 binary64))
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
#s(literal 0 binary64)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
#s(literal 9 binary64)
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 z z)))
(/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 z z))
(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64))
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
#s(literal 3 binary64)
(*.f64 z z)
Outputs
#s(approx (+ (* y x) (+ (* z z) 0)) (-.f64 (*.f64 (neg.f64 z) z) #s(literal 0 binary64)))
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 (neg.f64 z) z))
(-.f64 (*.f64 (neg.f64 z) z) #s(literal 0 binary64))
(*.f64 (neg.f64 z) z)
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
#s(literal 0 binary64)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))
#s(literal 9 binary64)
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) z) z) #s(literal 3 binary64)))
(/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 z z))
(*.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) z) z) #s(literal 3 binary64))
(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 4 binary64)))
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
#s(literal 3 binary64)
(*.f64 z z)

localize55.0ms (0.9%)

Memory
29.7MiB live, 139.9MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 z z)
accuracy0.08203125
(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64))
accuracy27.8918805810119
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 z z)))
accuracy43.199120092725174
(/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 z z))
accuracy0.0
(pow.f64 z #s(literal 4 binary64))
accuracy0.08203125
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
accuracy15.570292276388816
(sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
accuracy27.8918805810119
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))
accuracy0.0
(-.f64 (*.f64 (neg.f64 z) z) #s(literal 0 binary64))
accuracy0.0
(*.f64 (neg.f64 z) z)
accuracy0.0
(neg.f64 z)
accuracy60.381734607639565
#s(approx (+ (* y x) (+ (* z z) 0)) (-.f64 (*.f64 (neg.f64 z) z) #s(literal 0 binary64)))
Samples
43.0ms256×0valid
Compiler

Compiled 212 to 53 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 11.0ms (38% of total)
ival-add: 5.0ms (17.3% of total)
ival-pow: 5.0ms (17.3% of total)
ival-sqrt: 3.0ms (10.4% of total)
ival-div: 1.0ms (3.5% of total)
ival-sub: 1.0ms (3.5% of total)
exact: 1.0ms (3.5% of total)
ival-neg: 1.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series37.0ms (0.6%)

Memory
-29.4MiB live, 17.2MiB allocated
Counts
12 → 22
Calls
Call 1
Inputs
(-.f64 (*.f64 (neg.f64 z) z) #s(literal 0 binary64))
#s(approx (+ (* y x) (+ (* z z) 0)) (-.f64 (*.f64 (neg.f64 z) z) #s(literal 0 binary64)))
(*.f64 (neg.f64 z) z)
(neg.f64 z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(pow.f64 z #s(literal 4 binary64))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 z z)))
(/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 z z))
(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64))
(*.f64 z z)
Outputs
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (pow z 2))
(* -1 z)
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* 9 (pow z 4))
(pow z 4)
(* 3 (pow z 4))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
Calls

9 calls:

TimeVariablePointExpression
28.0ms
x
@0
((- (* (neg z) z) 0) (+ (* y x) (+ (* z z) 0)) (* (neg z) z) (neg z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* 9 (pow z 4))) (* 9 (pow z 4)) (pow z 4) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ (* (pow z 4) 3) (* z z)) (* (pow z 4) 3) (* z z))
2.0ms
z
@inf
((- (* (neg z) z) 0) (+ (* y x) (+ (* z z) 0)) (* (neg z) z) (neg z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* 9 (pow z 4))) (* 9 (pow z 4)) (pow z 4) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ (* (pow z 4) 3) (* z z)) (* (pow z 4) 3) (* z z))
2.0ms
x
@inf
((- (* (neg z) z) 0) (+ (* y x) (+ (* z z) 0)) (* (neg z) z) (neg z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* 9 (pow z 4))) (* 9 (pow z 4)) (pow z 4) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ (* (pow z 4) 3) (* z z)) (* (pow z 4) 3) (* z z))
2.0ms
z
@-inf
((- (* (neg z) z) 0) (+ (* y x) (+ (* z z) 0)) (* (neg z) z) (neg z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* 9 (pow z 4))) (* 9 (pow z 4)) (pow z 4) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ (* (pow z 4) 3) (* z z)) (* (pow z 4) 3) (* z z))
1.0ms
z
@0
((- (* (neg z) z) 0) (+ (* y x) (+ (* z z) 0)) (* (neg z) z) (neg z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* 9 (pow z 4))) (* 9 (pow z 4)) (pow z 4) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ (* (pow z 4) 3) (* z z)) (* (pow z 4) 3) (* z z))

simplify214.0ms (3.4%)

Memory
3.8MiB live, 183.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061168
1228140
2786140
33268140
47927140
08922127
Stop Event
1×iter limit
1×node limit
Counts
22 → 22
Calls
Call 1
Inputs
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (pow z 2))
(* -1 z)
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* 9 (pow z 4))
(pow z 4)
(* 3 (pow z 4))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
Outputs
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(+ (* 2 (pow z 2)) (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y))
(* x y)
(*.f64 x y)
(* x (+ y (/ (pow z 2) x)))
(fma.f64 x y (*.f64 z z))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 x y (*.f64 z z))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 x y (*.f64 z z))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 x y (*.f64 z z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y))
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* -1 z)
(neg.f64 z)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 9 (pow z 4))
(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))
(pow z 4)
(pow.f64 z #s(literal 4 binary64))
(* 3 (pow z 4))
(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 x y (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y))

rewrite199.0ms (3.2%)

Memory
-25.8MiB live, 201.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027106
03695
115787
2145683
0913678
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 1 055
Calls
Call 1
Inputs
(-.f64 (*.f64 (neg.f64 z) z) #s(literal 0 binary64))
#s(approx (+ (* y x) (+ (* z z) 0)) (-.f64 (*.f64 (neg.f64 z) z) #s(literal 0 binary64)))
(*.f64 (neg.f64 z) z)
(neg.f64 z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(pow.f64 z #s(literal 4 binary64))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 z z)))
(/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 z z))
(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64))
(*.f64 z z)
Outputs
(*.f64 (/.f64 (neg.f64 z) (neg.f64 (neg.f64 z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (neg.f64 z))))
(*.f64 (/.f64 (neg.f64 z) (neg.f64 (neg.f64 z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)))
(*.f64 (/.f64 (neg.f64 z) (neg.f64 z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (neg.f64 z))))
(*.f64 (/.f64 (neg.f64 z) (neg.f64 z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)))
(*.f64 (/.f64 (neg.f64 z) (neg.f64 z)) (*.f64 z z))
(*.f64 (/.f64 (neg.f64 z) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)))
(*.f64 (/.f64 (neg.f64 z) z) (*.f64 z z))
(*.f64 (/.f64 z (neg.f64 (neg.f64 z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (neg.f64 z))))
(*.f64 (/.f64 z (neg.f64 (neg.f64 z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)))
(*.f64 (/.f64 z (neg.f64 z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (neg.f64 z))))
(*.f64 (/.f64 z (neg.f64 z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)))
(*.f64 (/.f64 z (neg.f64 z)) (*.f64 z z))
(*.f64 (/.f64 z z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)))
(*.f64 (/.f64 z z) (*.f64 z z))
(*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)))
(*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 z z))
(*.f64 (/.f64 (*.f64 z z) (pow.f64 z #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))
(*.f64 (/.f64 (*.f64 z z) (*.f64 z z)) (*.f64 z z))
(*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) z)
(*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (neg.f64 z))) (/.f64 (neg.f64 z) (neg.f64 (neg.f64 z))))
(*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (neg.f64 z))) (/.f64 (neg.f64 z) (neg.f64 z)))
(*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (neg.f64 z))) (/.f64 z (neg.f64 (neg.f64 z))))
(*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (neg.f64 z))) (/.f64 z (neg.f64 z)))
(*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)) (/.f64 (neg.f64 z) (neg.f64 (neg.f64 z))))
(*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)) (/.f64 (neg.f64 z) (neg.f64 z)))
(*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)) (/.f64 (neg.f64 z) z))
(*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)) (/.f64 z (neg.f64 (neg.f64 z))))
(*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)) (/.f64 z (neg.f64 z)))
(*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)) (/.f64 z z))
(*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 (/.f64 (*.f64 z z) (neg.f64 (neg.f64 z))) (/.f64 (*.f64 z z) (neg.f64 (neg.f64 z))))
(*.f64 (/.f64 (*.f64 z z) (neg.f64 (neg.f64 z))) z)
(*.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z))))
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (neg.f64 z)))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 (pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/2 binary64)))
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(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)) (/.f64 z (neg.f64 (neg.f64 z))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)) (/.f64 z (neg.f64 z)) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)) (/.f64 z (neg.f64 z)) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)) (/.f64 z (neg.f64 z)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)) (/.f64 z z) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)) (/.f64 z z) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)) (/.f64 z z) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 z z) (neg.f64 (neg.f64 z))) (/.f64 (*.f64 z z) (neg.f64 (neg.f64 z))) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (/.f64 (*.f64 z z) (neg.f64 (neg.f64 z))) (/.f64 (*.f64 z z) (neg.f64 (neg.f64 z))) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (/.f64 (*.f64 z z) (neg.f64 (neg.f64 z))) (/.f64 (*.f64 z z) (neg.f64 (neg.f64 z))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 z z) (neg.f64 (neg.f64 z))) z (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (/.f64 (*.f64 z z) (neg.f64 (neg.f64 z))) z (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (/.f64 (*.f64 z z) (neg.f64 (neg.f64 z))) z #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z))) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z))) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (neg.f64 z)) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (neg.f64 z)) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (neg.f64 z)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 z) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 z) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 z) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 z) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (pow.f64 (neg.f64 z) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (pow.f64 (neg.f64 z) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 z) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 z) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 z) #s(literal 0 binary64))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (*.f64 z z) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (*.f64 z z) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (*.f64 z z) (pow.f64 z #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 z z) (/.f64 (neg.f64 z) (neg.f64 z)) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 z z) (/.f64 (neg.f64 z) (neg.f64 z)) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (*.f64 z z) (/.f64 (neg.f64 z) (neg.f64 z)) #s(literal 0 binary64))
(fma.f64 (*.f64 z z) (/.f64 (neg.f64 z) z) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 z z) (/.f64 (neg.f64 z) z) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (*.f64 z z) (/.f64 (neg.f64 z) z) #s(literal 0 binary64))
(fma.f64 (*.f64 z z) (/.f64 z (neg.f64 z)) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 z z) (/.f64 z (neg.f64 z)) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (*.f64 z z) (/.f64 z (neg.f64 z)) #s(literal 0 binary64))
(fma.f64 (*.f64 z z) (/.f64 z z) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 z z) (/.f64 z z) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (*.f64 z z) (/.f64 z z) #s(literal 0 binary64))
(fma.f64 (*.f64 z z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 z z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (*.f64 z z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 z z) (/.f64 (*.f64 z z) (*.f64 z z)) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 z z) (/.f64 (*.f64 z z) (*.f64 z z)) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (*.f64 z z) (/.f64 (*.f64 z z) (*.f64 z z)) #s(literal 0 binary64))
(fma.f64 (neg.f64 z) (neg.f64 (neg.f64 z)) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (neg.f64 z) (neg.f64 (neg.f64 z)) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (neg.f64 z) (neg.f64 (neg.f64 z)) #s(literal 0 binary64))
(fma.f64 (neg.f64 z) (neg.f64 z) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (neg.f64 z) (neg.f64 z) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (neg.f64 z) (neg.f64 z) #s(literal 0 binary64))
(fma.f64 (neg.f64 z) z (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (neg.f64 z) z (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (neg.f64 z) z #s(literal 0 binary64))
(fma.f64 z (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 z (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 z (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 z (/.f64 (*.f64 z z) (neg.f64 (neg.f64 z))) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 z (/.f64 (*.f64 z z) (neg.f64 (neg.f64 z))) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 z (/.f64 (*.f64 z z) (neg.f64 (neg.f64 z))) #s(literal 0 binary64))
(fma.f64 z (neg.f64 z) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 z (neg.f64 z) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 z (neg.f64 z) #s(literal 0 binary64))
(fma.f64 z z (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 z z (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 z z #s(literal 0 binary64))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z z))
(-.f64 (*.f64 z z) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(-.f64 (*.f64 z z) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(-.f64 (*.f64 z z) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 z))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 z)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 z)) z))
(-.f64 #s(literal 0 binary64) (*.f64 z z))
(fabs.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 z z)))
(fabs.f64 (*.f64 z z))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 3 binary64)) (*.f64 (log.f64 z) #s(literal 4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(+.f64 (/.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 4 binary64))) (*.f64 z z)) (/.f64 (sinh.f64 (*.f64 (log.f64 z) #s(literal 4 binary64))) (*.f64 z z)))
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 z))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 z))))
(+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 z z))
(+.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z z))
(+.f64 (*.f64 z z) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(+.f64 (*.f64 z z) (/.f64 #s(literal 0 binary64) (*.f64 z z)))
(+.f64 (*.f64 z z) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 z z))

eval107.0ms (1.7%)

Memory
6.8MiB live, 164.3MiB allocated
Compiler

Compiled 16 570 to 1 800 computations (89.1% saved)

prune14.0ms (0.2%)

Memory
33.8MiB live, 33.8MiB allocated
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New6043607
Fresh000
Picked213
Done066
Total60610616
Accuracy
100.0%
Counts
616 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓74.7%
(fma.f64 z z (*.f64 y x))
✓75.1%
(fma.f64 y x (*.f64 z z))
✓98.7%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z)))
56.2%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (pow.f64 (*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) z) #s(literal 2 binary64)))
✓56.3%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))
56.3%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 z z))) z))
✓56.3%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
✓44.1%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))
✓34.3%
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))
47.8%
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 x y))
Compiler

Compiled 440 to 170 computations (61.4% saved)

regimes109.0ms (1.7%)

Memory
-19.0MiB live, 59.9MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 x y))
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))
#s(approx (+ (* y x) (+ (* z z) 0)) (-.f64 (*.f64 (neg.f64 z) z) #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))
(fma.f64 y x (*.f64 z z))
(fma.f64 z z (*.f64 y x))
(fma.f64 y x (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 z z))) z))
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (pow.f64 (*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) z) #s(literal 2 binary64)))
Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z)))
Calls

6 calls:

76.0ms
(*.f64 z z)
11.0ms
y
5.0ms
x
5.0ms
z
5.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
98.7%1x
98.7%1y
98.7%1z
98.7%1(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
98.7%1(*.f64 x y)
98.7%1(*.f64 z z)
Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes24.0ms (0.4%)

Memory
15.8MiB live, 51.1MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 x y))
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))
#s(approx (+ (* y x) (+ (* z z) 0)) (-.f64 (*.f64 (neg.f64 z) z) #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))
(fma.f64 y x (*.f64 z z))
(fma.f64 z z (*.f64 y x))
(fma.f64 y x (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
Outputs
(fma.f64 y x (*.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
Calls

6 calls:

7.0ms
z
3.0ms
x
3.0ms
y
3.0ms
(*.f64 x y)
3.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
Results
AccuracySegmentsBranch
79.3%3x
84.5%3y
86.1%2z
82.8%3(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
85.1%3(*.f64 x y)
86.1%2(*.f64 z z)
Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes30.0ms (0.5%)

Memory
-26.5MiB live, 11.1MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 x y))
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))
#s(approx (+ (* y x) (+ (* z z) 0)) (-.f64 (*.f64 (neg.f64 z) z) #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))
Outputs
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 x y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
Calls

2 calls:

2.0ms
z
2.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
85.9%2z
85.9%2(*.f64 z z)
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes11.0ms (0.2%)

Memory
30.2MiB live, 30.2MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 x y))
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))
#s(approx (+ (* y x) (+ (* z z) 0)) (-.f64 (*.f64 (neg.f64 z) z) #s(literal 0 binary64)))
Outputs
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 x y))
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))
Calls

6 calls:

2.0ms
(*.f64 x y)
2.0ms
y
2.0ms
z
2.0ms
x
2.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
Results
AccuracySegmentsBranch
47.8%1x
69.2%2(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
55.1%3y
55.1%3(*.f64 x y)
71.6%2z
71.6%2(*.f64 z z)
Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes27.0ms (0.4%)

Memory
-23.2MiB live, 15.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 x y))
Outputs
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 x y))
Calls

5 calls:

22.0ms
(*.f64 x y)
1.0ms
y
1.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
1.0ms
z
1.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
47.8%1y
47.8%1(*.f64 x y)
47.8%1(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
47.8%1z
47.8%1(*.f64 z z)
Compiler

Compiled 23 to 22 computations (4.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.381698725710439e-121
1.4299163481725705e-118
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.381698725710439e-121
1.4299163481725705e-118
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.9754252315982934e+270
7.04707168454971e+270
Compiler

Compiled 14 to 14 computations (0% saved)

simplify84.0ms (1.3%)

Memory
-36.7MiB live, 34.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031134
152128
2138122
3379122
4907122
52051122
63262122
Stop Event
1×node limit
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 (*.f64 z z) #s(literal 5814709794364855/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) (fma.f64 y x (*.f64 z z)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z))))
(if (<=.f64 (*.f64 z z) #s(literal 5814709794364855/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 x y)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z))))
(if (<=.f64 (*.f64 z z) #s(literal 4999999999999999764549292626986875572750671187323497602221849766876111154604067550387368627199534937982247029399513448412004641879220737958453399743194695221845639734329117175452054939260350471574028523397055086927229171436397382528116999841118317789671471470721563099136 binary64)) #s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 x y)) #s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z)))
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 x y))
Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 (*.f64 z z) #s(literal 5814709794364855/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) (fma.f64 y x (*.f64 z z)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z))))
(if (<=.f64 (*.f64 z z) #s(literal 5814709794364855/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 x y)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z))))
(if (<=.f64 (*.f64 z z) #s(literal 4999999999999999764549292626986875572750671187323497602221849766876111154604067550387368627199534937982247029399513448412004641879220737958453399743194695221845639734329117175452054939260350471574028523397055086927229171436397382528116999841118317789671471470721563099136 binary64)) #s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 x y)) #s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z)))
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 x y))

soundness1.6s (26.2%)

Memory
11.8MiB live, 447.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02189
03283
116379
2190979
0880877
061168
1228140
2786140
33268140
47927140
08922127
070204
1276160
2948160
33781160
08253143
02392
03187
115083
2160183
0853081
0836
01336
16332
263724
0921220
070208
1281180
2997180
34202180
08237161
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 257 to 129 computations (49.8% saved)

preprocess200.0ms (3.2%)

Memory
29.5MiB live, 69.8MiB allocated
Remove

(sort x y)

(abs z)

Compiler

Compiled 428 to 146 computations (65.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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