Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, B

Time bar (total: 6.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
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 9 to 9 computations (0% saved)

sample1.1s (17%)

Memory
62.4MiB live, 1 266.5MiB allocated
Samples
826.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 266.0ms
ival-mult: 194.0ms (73% of total)
ival-sub: 53.0ms (19.9% of total)
ival-true: 8.0ms (3% of total)
exact: 7.0ms (2.6% of total)
ival-assert: 5.0ms (1.9% of total)
Bogosity

explain88.0ms (1.3%)

Memory
-7.5MiB live, 94.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
00-0-(*.f64 (*.f64 x #s(literal 3 binary64)) y)
00-0-y
00-0-#s(literal 3 binary64)
00-0-(*.f64 x #s(literal 3 binary64))
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
26.0ms512×0valid
Compiler

Compiled 49 to 25 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (64.9% of total)
ival-sub: 3.0ms (27.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess36.0ms (0.5%)

Memory
-27.4MiB live, 18.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02672
14768
28468
39868
077
0107
1147
2217
3237
0237
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) z)
Symmetry

(sort x y)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Compiler

Compiled 7 to 7 computations (0% saved)

simplify4.0ms (0.1%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
01019
11419
22119
32319
02319
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
z
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) z)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)
y
z

localize18.0ms (0.3%)

Memory
23.5MiB live, 23.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
accuracy0.0
(*.f64 x #s(literal 3 binary64))
accuracy0.1953125
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Samples
13.0ms256×0valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (75.9% of total)
ival-sub: 1.0ms (19% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
3 → 11
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
Outputs
(* -1 z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 x)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* -1 (* y (+ (* -3 x) (/ z y))))
(+ (* -1 z) (* 3 (* x y)))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
Calls

9 calls:

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

simplify105.0ms (1.6%)

Memory
-6.3MiB live, 79.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03866
112166
240266
3111766
4303866
5489266
6596966
7617966
8710966
0852766
Stop Event
iter limit
node limit
Counts
11 → 11
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 x)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* -1 (* y (+ (* -3 x) (/ z y))))
(+ (* -1 z) (* 3 (* x y)))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
Outputs
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* -1 (* x (+ (* -3 y) (/ z x))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* -1 (* y (+ (* -3 x) (/ z y))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))

rewrite230.0ms (3.5%)

Memory
15.4MiB live, 295.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
01015
12615
216415
3175815
0873114
Stop Event
iter limit
node limit
iter limit
Counts
3 → 231
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)))
(*.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 81 binary64) (*.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z) (-.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z) (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z))) (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (-.f64 z (*.f64 y (*.f64 #s(literal 3 binary64) x))))))
(*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)))))))
(/.f64 (+.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 6 binary64)) (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) (*.f64 (neg.f64 z) z)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #s(literal 2 binary64)))) (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 2 binary64)))) (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 6 binary64)) (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (*.f64 z z)))) (neg.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) (*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (*.f64 (neg.f64 z) z))) (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (*.f64 z z))) (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (*.f64 (neg.f64 z) z))) (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 2 binary64)))
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(pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x))))
(fabs.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)))
(fabs.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x))))
(+.f64 (cosh.f64 (log.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)))) (sinh.f64 (log.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)))))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))

eval29.0ms (0.4%)

Memory
7.1MiB live, 52.0MiB allocated
Compiler

Compiled 8 430 to 627 computations (92.6% saved)

prune11.0ms (0.2%)

Memory
-22.9MiB live, 22.6MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2287235
Fresh000
Picked011
Done000
Total2288236
Accuracy
100.0%
Counts
236 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.2%
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
99.8%
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
99.8%
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
99.8%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
63.8%
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64))) z)
56.9%
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))) (sqrt.f64 (*.f64 y x))) z)
99.9%
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
49.4%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 181 to 143 computations (21% saved)

simplify10.0ms (0.2%)

Memory
16.0MiB live, 16.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))) (sqrt.f64 (*.f64 y x)))
cost-diff0
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))) (sqrt.f64 (*.f64 y x))) z)
cost-diff2
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 (*.f64 y x) #s(literal 3 binary64))
cost-diff0
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
cost-diff0
(*.f64 y #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
cost-diff0
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z)
cost-diff0
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025133
042133
161125
295125
3174125
4295125
5390125
6391125
0391125
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z)
#s(literal -3 binary64)
(*.f64 y x)
y
x
z
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
x
z
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
y
x
#s(literal 3 binary64)
z
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))) (sqrt.f64 (*.f64 y x))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))) (sqrt.f64 (*.f64 y x)))
(sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
y
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(sqrt.f64 (*.f64 y x))
(*.f64 y x)
z
Outputs
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
(neg.f64 (fma.f64 (*.f64 x y) #s(literal -3 binary64) z))
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z)
(fma.f64 (*.f64 x y) #s(literal -3 binary64) z)
#s(literal -3 binary64)
(*.f64 y x)
(*.f64 x y)
y
x
z
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(-.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z)
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
y
#s(literal 3 binary64)
x
z
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
(-.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 3 binary64)
z
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))) (sqrt.f64 (*.f64 y x))) z)
(-.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))) (sqrt.f64 (*.f64 y x)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))))
(sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))
(*.f64 #s(literal 9 binary64) (*.f64 x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
y
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(sqrt.f64 (*.f64 y x))
(sqrt.f64 (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
z

localize119.0ms (1.8%)

Memory
-11.9MiB live, 177.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.1171875
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))
accuracy0.1171875
(*.f64 y (*.f64 #s(literal 3 binary64) x))
accuracy7.949798670396669
(sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)))
accuracy7.956257290168385
(sqrt.f64 (*.f64 y x))
accuracy0.0
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
accuracy0.0
(*.f64 y x)
accuracy0.09765625
(*.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy0.0
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
accuracy0.0
(*.f64 y #s(literal 3 binary64))
accuracy0.1171875
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
accuracy0.0
(neg.f64 z)
accuracy17.467895640956517
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
accuracy0.0
(*.f64 y x)
accuracy0.0
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
accuracy0.04296875
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z)
Samples
62.0ms127×0invalid
28.0ms129×0valid
Compiler

Compiled 134 to 27 computations (79.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-sub: 18.0ms (38.5% of total)
ival-mult: 17.0ms (36.4% of total)
ival-sqrt: 7.0ms (15% of total)
ival-neg: 3.0ms (6.4% of total)
ival-add: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
3.8MiB live, 58.5MiB allocated
Counts
16 → 34
Calls
Call 1
Inputs
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z)
(*.f64 y x)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))) (sqrt.f64 (*.f64 y x))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))) (sqrt.f64 (*.f64 y x)))
(sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 y x))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
Outputs
(* -1 z)
(- (* 3 (* x y)) z)
z
(+ z (* -3 (* x y)))
(* x y)
(* 3 (* x y))
(* 9 (* x y))
(* 3 (sqrt (* x y)))
(sqrt (* x y))
(* x (- (* -1 (/ z x)) (* -3 y)))
(* -3 (* x y))
(* x (+ (* -3 y) (/ z x)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* -1 (* x (- (/ z x) (* 3 y))))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (* y (* (sqrt -9) (sqrt -1)))))
(* -1 (* x (+ (* y (* (sqrt -9) (sqrt -1))) (/ z x))))
(* -1 (* (sqrt (* x y)) (* (sqrt -9) (sqrt -1))))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* 3 y)
(* y (- (* -1 (/ z y)) (* -3 x)))
(* y (+ (* -3 x) (/ z y)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* -1 (* y (- (/ z y) (* 3 x))))
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* x (* (sqrt -9) (sqrt -1))) (/ z y))))
(- (* -1 z) (* -3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (+ 1 (* -3 (/ (* x y) z))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
y
@inf
((neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* y x) (- (* (* x 3) y) z) (neg z) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* y x) 3) z) (* (* y x) 3) (* (* y (* 3 x)) 3) (- (* (sqrt (* (* y (* 3 x)) 3)) (sqrt (* y x))) z) (* (sqrt (* (* y (* 3 x)) 3)) (sqrt (* y x))) (sqrt (* (* y (* 3 x)) 3)) (sqrt (* y x)) (* y (* 3 x)))
4.0ms
x
@-inf
((neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* y x) (- (* (* x 3) y) z) (neg z) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* y x) 3) z) (* (* y x) 3) (* (* y (* 3 x)) 3) (- (* (sqrt (* (* y (* 3 x)) 3)) (sqrt (* y x))) z) (* (sqrt (* (* y (* 3 x)) 3)) (sqrt (* y x))) (sqrt (* (* y (* 3 x)) 3)) (sqrt (* y x)) (* y (* 3 x)))
3.0ms
y
@-inf
((neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* y x) (- (* (* x 3) y) z) (neg z) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* y x) 3) z) (* (* y x) 3) (* (* y (* 3 x)) 3) (- (* (sqrt (* (* y (* 3 x)) 3)) (sqrt (* y x))) z) (* (sqrt (* (* y (* 3 x)) 3)) (sqrt (* y x))) (sqrt (* (* y (* 3 x)) 3)) (sqrt (* y x)) (* y (* 3 x)))
1.0ms
x
@0
((neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* y x) (- (* (* x 3) y) z) (neg z) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* y x) 3) z) (* (* y x) 3) (* (* y (* 3 x)) 3) (- (* (sqrt (* (* y (* 3 x)) 3)) (sqrt (* y x))) z) (* (sqrt (* (* y (* 3 x)) 3)) (sqrt (* y x))) (sqrt (* (* y (* 3 x)) 3)) (sqrt (* y x)) (* y (* 3 x)))
1.0ms
x
@inf
((neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* y x) (- (* (* x 3) y) z) (neg z) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* y x) 3) z) (* (* y x) 3) (* (* y (* 3 x)) 3) (- (* (sqrt (* (* y (* 3 x)) 3)) (sqrt (* y x))) z) (* (sqrt (* (* y (* 3 x)) 3)) (sqrt (* y x))) (sqrt (* (* y (* 3 x)) 3)) (sqrt (* y x)) (* y (* 3 x)))

simplify91.0ms (1.4%)

Memory
-23.2MiB live, 172.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078227
1222227
2800227
32079223
45068223
57954223
08020214
Stop Event
iter limit
node limit
Counts
34 → 33
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
z
(+ z (* -3 (* x y)))
(* x y)
(* 3 (* x y))
(* 9 (* x y))
(* 3 (sqrt (* x y)))
(sqrt (* x y))
(* x (- (* -1 (/ z x)) (* -3 y)))
(* -3 (* x y))
(* x (+ (* -3 y) (/ z x)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* -1 (* x (- (/ z x) (* 3 y))))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (* y (* (sqrt -9) (sqrt -1)))))
(* -1 (* x (+ (* y (* (sqrt -9) (sqrt -1))) (/ z x))))
(* -1 (* (sqrt (* x y)) (* (sqrt -9) (sqrt -1))))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* 3 y)
(* y (- (* -1 (/ z y)) (* -3 x)))
(* y (+ (* -3 x) (/ z y)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* -1 (* y (- (/ z y) (* 3 x))))
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* x (* (sqrt -9) (sqrt -1))) (/ z y))))
(- (* -1 z) (* -3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (+ 1 (* -3 (/ (* x y) z))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
Outputs
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
z
(+ z (* -3 (* x y)))
(fma.f64 (*.f64 #s(literal -3 binary64) x) y z)
(* x y)
(*.f64 x y)
(* 3 (* x y))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(* 9 (* x y))
(*.f64 #s(literal 9 binary64) (*.f64 x y))
(* 3 (sqrt (* x y)))
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(sqrt (* x y))
(sqrt.f64 (*.f64 x y))
(* x (- (* -1 (/ z x)) (* -3 y)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -3 (* x y))
(*.f64 #s(literal -3 binary64) (*.f64 x y))
(* x (+ (* -3 y) (/ z x)))
(fma.f64 (*.f64 #s(literal -3 binary64) x) y z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* x (- (/ z x) (* 3 y))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
(fma.f64 (*.f64 #s(literal -3 binary64) x) y z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* x (* y (* (sqrt -9) (sqrt -1)))))
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))))
(* -1 (* x (+ (* y (* (sqrt -9) (sqrt -1))) (/ z x))))
(neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) (*.f64 (sqrt.f64 #s(literal -9 binary64)) x) z))
(* -1 (* (sqrt (* x y)) (* (sqrt -9) (sqrt -1))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -9 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 x y))))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x y))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (- (* -1 (/ z y)) (* -3 x)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* y (+ (* -3 x) (/ z y)))
(fma.f64 (*.f64 #s(literal -3 binary64) x) y z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* y (- (/ z y) (* 3 x))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x))))
(fma.f64 (*.f64 #s(literal -3 binary64) x) y z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* y (+ (* x (* (sqrt -9) (sqrt -1))) (/ z y))))
(neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) (*.f64 (sqrt.f64 #s(literal -9 binary64)) x) z))
(- (* -1 z) (* -3 (* x y)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* z (+ 1 (* -3 (/ (* x y) z))))
(fma.f64 (*.f64 #s(literal -3 binary64) x) y z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(fma.f64 (*.f64 #s(literal -3 binary64) x) y z)

rewrite765.0ms (11.6%)

Memory
14.9MiB live, 421.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025107
04291
113187
264787
3626587
0803887
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 528
Calls
Call 1
Inputs
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z)
(*.f64 y x)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))) (sqrt.f64 (*.f64 y x))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))) (sqrt.f64 (*.f64 y x)))
(sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 y x))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
Outputs
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (fma.f64 (*.f64 x y) #s(literal -3 binary64) z) (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)))
(*.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z) (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z) (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 x y) #s(literal -3 binary64) z)))
(*.f64 (/.f64 (fma.f64 z z (*.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 z (fma.f64 (*.f64 x y) #s(literal -3 binary64) z) (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 z z (*.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64)))) (fma.f64 (*.f64 x y) #s(literal -3 binary64) z))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) (/.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -3 binary64) z)) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
(*.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)) (/.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -3 binary64) z)) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))))
(*.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)) (/.f64 (fma.f64 (*.f64 x y) #s(literal -3 binary64) z) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)))))
(*.f64 (fma.f64 (*.f64 x y) #s(literal -3 binary64) z) (/.f64 (fma.f64 (*.f64 x y) #s(literal -3 binary64) (neg.f64 z)) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))) (*.f64 (*.f64 z (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))) (*.f64 z (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)) (*.f64 z (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))) (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))))) (fma.f64 (*.f64 x y) #s(literal -3 binary64) z))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))) (fma.f64 (*.f64 z (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))) (*.f64 z (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))) (*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))) (*.f64 z (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))) (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)))))))
(/.f64 (neg.f64 (fma.f64 z z (*.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) (*.f64 z z))) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))) (*.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (fma.f64 z z (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (*.f64 (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (*.f64 (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 6 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)))))
(/.f64 (fma.f64 z z (*.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (-.f64 (neg.f64 z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)))
(/.f64 (fma.f64 z z (*.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 (*.f64 x y) #s(literal -3 binary64) (neg.f64 z)))
(/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)))
(neg.f64 (fma.f64 (*.f64 x y) #s(literal -3 binary64) z))
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (fma.f64 (*.f64 x y) #s(literal -3 binary64) z) (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64))) (*.f64 z (/.f64 z (fma.f64 (*.f64 x y) #s(literal -3 binary64) (neg.f64 z)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 x y) #s(literal -3 binary64) z)) (*.f64 z (/.f64 z (fma.f64 (*.f64 x y) #s(literal -3 binary64) (neg.f64 z)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)) (/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)))))
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(fma.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal 3 binary64) x)) (neg.f64 z))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (neg.f64 z))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (neg.f64 z))
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(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) y) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 3 binary64) x)))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) x) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 3 binary64) y)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 y #s(literal -3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) x)) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) x)) (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) x)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/2 binary64)) (*.f64 x y))
(*.f64 (*.f64 x #s(literal -3 binary64)) (neg.f64 y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) x) y)) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) x)) (sqrt.f64 x))
(*.f64 (neg.f64 x) (*.f64 y #s(literal -3 binary64)))
(*.f64 (*.f64 (neg.f64 y) x) #s(literal -3 binary64))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)))))
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (sqrt.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x)))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (*.f64 x y) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 (*.f64 x y))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) x) y)))
(*.f64 (*.f64 y #s(literal -3 binary64)) (neg.f64 x))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) (fabs.f64 (*.f64 (neg.f64 y) x)))
(*.f64 #s(literal 3 binary64) (fabs.f64 (*.f64 x y)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 (*.f64 x y) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (*.f64 x y) (pow.f64 #s(literal 9 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 y (*.f64 #s(literal -3 binary64) (neg.f64 x)))
(*.f64 y (neg.f64 (*.f64 x #s(literal -3 binary64))))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal -3 binary64) (*.f64 (neg.f64 y) x))
(pow.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 1 binary64))
(neg.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)))
(fabs.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (log.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x))) (sinh.f64 (log.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x))))

eval215.0ms (3.3%)

Memory
-25.7MiB live, 210.4MiB allocated
Compiler

Compiled 14 113 to 1 669 computations (88.2% saved)

prune15.0ms (0.2%)

Memory
1.9MiB live, 47.9MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New6183621
Fresh112
Picked235
Done011
Total6218629
Accuracy
100.0%
Counts
629 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f64 (*.f64 (*.f64 x y) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64)) (neg.f64 z))
20.2%
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
56.9%
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))) (neg.f64 z))
99.8%
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
99.8%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
99.9%
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
53.2%
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 #s(literal -3 binary64) (*.f64 x y))))
49.4%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 95 to 75 computations (21.1% saved)

simplify129.0ms (2%)

Memory
-0.7MiB live, 98.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(literal 3 binary64))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) (sqrt.f64 #s(literal 3 binary64)))
cost-diff4
(fma.f64 (*.f64 (*.f64 x y) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64)) (neg.f64 z))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 9 binary64) (*.f64 x x))
cost-diff0
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
cost-diff7
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)))
cost-diff0
(*.f64 x y)
cost-diff0
(sqrt.f64 (*.f64 x y))
cost-diff0
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))) (neg.f64 z))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 #s(literal -3 binary64) (*.f64 x y))
cost-diff0
#s(approx (+ (* -3 (* y x)) z) (*.f64 #s(literal -3 binary64) (*.f64 x y)))
cost-diff0
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 #s(literal -3 binary64) (*.f64 x y))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030184
054184
198175
2252175
3816175
42336175
53884175
64555175
75228175
86745175
97795175
08254171
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 #s(literal -3 binary64) (*.f64 x y))))
#s(approx (+ (* -3 (* y x)) z) (*.f64 #s(literal -3 binary64) (*.f64 x y)))
(*.f64 #s(literal -3 binary64) (*.f64 x y))
#s(literal -3 binary64)
(*.f64 x y)
x
y
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))) (neg.f64 z))
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
(sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)))
(*.f64 #s(literal 9 binary64) (*.f64 x y))
#s(literal 9 binary64)
(neg.f64 z)
z
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
(*.f64 #s(literal 9 binary64) (*.f64 x x))
#s(literal 9 binary64)
(*.f64 x x)
x
y
(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
z
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(fma.f64 (*.f64 (*.f64 x y) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64)) (neg.f64 z))
(*.f64 (*.f64 x y) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 x y)
x
y
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(neg.f64 z)
z
Outputs
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 #s(literal -3 binary64) (*.f64 x y))))
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 #s(literal -3 binary64) (*.f64 x y)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x))
(*.f64 #s(literal -3 binary64) (*.f64 x y))
(*.f64 (*.f64 y #s(literal -3 binary64)) x)
#s(literal -3 binary64)
(*.f64 x y)
x
y
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))) (neg.f64 z))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (neg.f64 z))
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
(sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)))
(*.f64 #s(literal 9 binary64) (*.f64 x y))
#s(literal 9 binary64)
(neg.f64 z)
z
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64)) x (*.f64 z z)) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
(*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
#s(literal 9 binary64)
(*.f64 x x)
x
y
(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 y (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(fma.f64 (*.f64 #s(literal 3 binary64) x) y z)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
z
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)) z)
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))
(fma.f64 (*.f64 (*.f64 x y) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64)) (neg.f64 z))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(*.f64 (*.f64 x y) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) x) y)
(*.f64 x y)
x
y
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(neg.f64 z)
z

localize116.0ms (1.8%)

Memory
23.2MiB live, 108.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 #s(literal 3 binary64))
accuracy0.0
(neg.f64 z)
accuracy0.06640625
(fma.f64 (*.f64 (*.f64 x y) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64)) (neg.f64 z))
accuracy0.14453125
(*.f64 (*.f64 x y) (sqrt.f64 #s(literal 3 binary64)))
accuracy1.924001618963357
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy4.541273221039964
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
accuracy4.976918271845097
(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy5.607195912155506
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
accuracy0.05859375
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))) (neg.f64 z))
accuracy0.1015625
(*.f64 #s(literal 9 binary64) (*.f64 x y))
accuracy7.949798670396669
(sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)))
accuracy7.956257290168385
(sqrt.f64 (*.f64 x y))
accuracy0.0
(*.f64 x y)
accuracy0.0
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 #s(literal -3 binary64) (*.f64 x y))))
accuracy0.09765625
(*.f64 #s(literal -3 binary64) (*.f64 x y))
accuracy13.906668852476088
#s(approx (+ (* -3 (* y x)) z) (*.f64 #s(literal -3 binary64) (*.f64 x y)))
Samples
61.0ms127×0invalid
35.0ms129×0valid
Compiler

Compiled 183 to 35 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 54.0ms (70.2% of total)
ival-div: 9.0ms (11.7% of total)
ival-add: 6.0ms (7.8% of total)
ival-sqrt: 5.0ms (6.5% of total)
ival-neg: 2.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series70.0ms (1.1%)

Memory
14.3MiB live, 58.6MiB allocated
Counts
18 → 117
Calls
Call 1
Inputs
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 #s(literal -3 binary64) (*.f64 x y))))
#s(approx (+ (* -3 (* y x)) z) (*.f64 #s(literal -3 binary64) (*.f64 x y)))
(*.f64 #s(literal -3 binary64) (*.f64 x y))
(*.f64 x y)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))) (neg.f64 z))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)))
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(*.f64 x x)
(fma.f64 (*.f64 (*.f64 x y) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64)) (neg.f64 z))
(*.f64 (*.f64 x y) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(literal 3 binary64))
(*.f64 #s(literal 9 binary64) (*.f64 x y))
(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(neg.f64 z)
Outputs
(* -1 z)
(- (* 3 (* x y)) z)
z
(+ z (* -3 (* x y)))
(* -3 (* x y))
(* x y)
(sqrt (* x y))
(* 3 (sqrt (* x y)))
(+ z (* x (- (* x (- (* 9 (/ (pow y 2) z)) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(+ z (* x (- (* x (- (+ (* 9 (/ (pow y 2) z)) (* x (- (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(* 9 (* (pow x 2) y))
(* 9 (pow x 2))
(pow x 2)
(- (* x (* y (pow (sqrt 3) 2))) z)
(* x (* y (sqrt 3)))
(* 9 (* x y))
(/ y z)
(+ (* -3 (/ (* x (pow y 2)) (pow z 2))) (/ y z))
(+ (* x (- (* 9 (/ (* x (pow y 3)) (pow z 3))) (* 3 (/ (pow y 2) (pow z 2))))) (/ y z))
(+ (* x (- (* x (- (* -27 (/ (* x (pow y 4)) (pow z 4))) (* -9 (/ (pow y 3) (pow z 3))))) (* 3 (/ (pow y 2) (pow z 2))))) (/ y z))
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
(* 3 (* x y))
(* x (- (* -1 (/ z x)) (* -3 y)))
(* x (+ (* -3 y) (/ z x)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y))))
(* x (- (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))) (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2))))))
(* x (* y (pow (sqrt 3) 2)))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(/ 1/3 x)
(/ (+ 1/3 (* -1/9 (/ z (* x y)))) x)
(/ (- (+ 1/3 (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 2))))) (* 1/9 (/ z (* x y)))) x)
(/ (- (+ 1/3 (* -1/81 (/ (pow z 3) (* (pow x 3) (pow y 3))))) (+ (* -1/27 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (* 1/9 (/ z (* x y))))) x)
(* 1/3 (/ z (* x y)))
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(* -1 (* x (- (/ z x) (* 3 y))))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
(* -1 (* x (* y (* (sqrt -9) (sqrt -1)))))
(* -1 (* x (+ (* y (* (sqrt -9) (sqrt -1))) (/ z x))))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* x y)) (* (sqrt -9) (sqrt -1))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow y 2))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -2/3 (/ (pow z 2) y))) x))) x)))))
(* -1 (* x (+ (* -1 (* y (pow (sqrt 3) 2))) (/ z x))))
(* -1 (/ (- (* 1/9 (/ z (* x y))) 1/3) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 2)))) (* 1/9 (/ z y))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) (* x (pow y 3)))) (* 1/27 (/ (pow z 2) (pow y 2)))) x)) (* 1/9 (/ z y))) x)) 1/3) x))
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(+ z (* y (- (* y (- (* 9 (/ (pow x 2) z)) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(+ z (* y (- (* y (- (+ (* 9 (/ (pow x 2) z)) (* y (- (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(* y (+ (* -3 (/ (* x y) (pow z 2))) (/ 1 z)))
(* y (+ (* y (- (* 9 (/ (* (pow x 2) y) (pow z 3))) (* 3 (/ x (pow z 2))))) (/ 1 z)))
(* y (+ (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 4))) (* -9 (/ (pow x 2) (pow z 3))))) (* 3 (/ x (pow z 2))))) (/ 1 z)))
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z)))))
(* y (- (* -1 (/ z y)) (* -3 x)))
(* y (+ (* -3 x) (/ z y)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))))
(* y (- (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3))))))
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(+ (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x)))
(- (+ (* 1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 x))) (* 1/9 (/ z (* (pow x 2) y))))
(- (+ (* -1/81 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (* 1/3 (/ 1 x))) (+ (* -1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/9 (/ z (* (pow x 2) y)))))
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y)
(* -1 (* y (- (/ z y) (* 3 x))))
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x))))
(* -1 (* y (+ (* x (* (sqrt -9) (sqrt -1))) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow x 2))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -2/3 (/ (pow z 2) x))) y))) y)))))
(* -1 (* y (+ (* -1 (* x (pow (sqrt 3) 2))) (/ z y))))
(+ (* -1 (/ (- (* -1/27 (/ (pow z 2) (* (pow x 3) y))) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* (pow x 4) y))) (* -1/27 (/ (pow z 2) (pow x 3)))) y)) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x)))
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(- (* -1 z) (* -3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* 3 (* x y)) (* z (- (* 2/3 (/ z (* x y))) 1)))
(+ (* 3 (* x y)) (* z (- (* z (+ (* -2/9 (/ z (* (pow x 2) (pow y 2)))) (* 2/3 (/ 1 (* x y))))) 1)))
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 2)))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x)))
(+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 3)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x)))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(* z (- (+ 1 (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))))
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(/ (+ y (* -3 (/ (* x (pow y 2)) z))) z)
(/ (- (+ y (* 9 (/ (* (pow x 2) (pow y 3)) (pow z 2)))) (* 3 (/ (* x (pow y 2)) z))) z)
(/ (- (+ y (* -27 (/ (* (pow x 3) (pow y 4)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 3)) (pow z 2))) (* 3 (/ (* x (pow y 2)) z)))) z)
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -9 (* (pow x 2) (pow y 2))) (* -1 (/ (- (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
(* -1 (/ (+ (* -1 y) (* 3 (/ (* x (pow y 2)) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 3)) z)) (* 3 (* x (pow y 2)))) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 4)) z)) (* 9 (* (pow x 2) (pow y 3)))) z)) (* 3 (* x (pow y 2)))) z))) z))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
Calls

9 calls:

TimeVariablePointExpression
37.0ms
y
@0
((neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* -3 (* x y)) (* x y) (+ (* (sqrt (* x y)) (sqrt (* 9 (* x y)))) (neg z)) (sqrt (* x y)) (sqrt (* 9 (* x y))) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (* (* x y) (sqrt 3)) (sqrt 3) (* 9 (* x y)) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (neg z))
7.0ms
x
@inf
((neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* -3 (* x y)) (* x y) (+ (* (sqrt (* x y)) (sqrt (* 9 (* x y)))) (neg z)) (sqrt (* x y)) (sqrt (* 9 (* x y))) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (* (* x y) (sqrt 3)) (sqrt 3) (* 9 (* x y)) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (neg z))
5.0ms
y
@inf
((neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* -3 (* x y)) (* x y) (+ (* (sqrt (* x y)) (sqrt (* 9 (* x y)))) (neg z)) (sqrt (* x y)) (sqrt (* 9 (* x y))) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (* (* x y) (sqrt 3)) (sqrt 3) (* 9 (* x y)) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (neg z))
4.0ms
x
@-inf
((neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* -3 (* x y)) (* x y) (+ (* (sqrt (* x y)) (sqrt (* 9 (* x y)))) (neg z)) (sqrt (* x y)) (sqrt (* 9 (* x y))) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (* (* x y) (sqrt 3)) (sqrt 3) (* 9 (* x y)) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (neg z))
4.0ms
x
@0
((neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* -3 (* x y)) (* x y) (+ (* (sqrt (* x y)) (sqrt (* 9 (* x y)))) (neg z)) (sqrt (* x y)) (sqrt (* 9 (* x y))) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (* (* x y) (sqrt 3)) (sqrt 3) (* 9 (* x y)) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (neg z))

simplify212.0ms (3.2%)

Memory
-12.3MiB live, 229.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06392369
120482260
272452236
085832096
Stop Event
iter limit
node limit
Counts
117 → 116
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
z
(+ z (* -3 (* x y)))
(* -3 (* x y))
(* x y)
(sqrt (* x y))
(* 3 (sqrt (* x y)))
(+ z (* x (- (* x (- (* 9 (/ (pow y 2) z)) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(+ z (* x (- (* x (- (+ (* 9 (/ (pow y 2) z)) (* x (- (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(* 9 (* (pow x 2) y))
(* 9 (pow x 2))
(pow x 2)
(- (* x (* y (pow (sqrt 3) 2))) z)
(* x (* y (sqrt 3)))
(* 9 (* x y))
(/ y z)
(+ (* -3 (/ (* x (pow y 2)) (pow z 2))) (/ y z))
(+ (* x (- (* 9 (/ (* x (pow y 3)) (pow z 3))) (* 3 (/ (pow y 2) (pow z 2))))) (/ y z))
(+ (* x (- (* x (- (* -27 (/ (* x (pow y 4)) (pow z 4))) (* -9 (/ (pow y 3) (pow z 3))))) (* 3 (/ (pow y 2) (pow z 2))))) (/ y z))
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
(* 3 (* x y))
(* x (- (* -1 (/ z x)) (* -3 y)))
(* x (+ (* -3 y) (/ z x)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y))))
(* x (- (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))) (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2))))))
(* x (* y (pow (sqrt 3) 2)))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(/ 1/3 x)
(/ (+ 1/3 (* -1/9 (/ z (* x y)))) x)
(/ (- (+ 1/3 (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 2))))) (* 1/9 (/ z (* x y)))) x)
(/ (- (+ 1/3 (* -1/81 (/ (pow z 3) (* (pow x 3) (pow y 3))))) (+ (* -1/27 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (* 1/9 (/ z (* x y))))) x)
(* 1/3 (/ z (* x y)))
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(* -1 (* x (- (/ z x) (* 3 y))))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
(* -1 (* x (* y (* (sqrt -9) (sqrt -1)))))
(* -1 (* x (+ (* y (* (sqrt -9) (sqrt -1))) (/ z x))))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* x y)) (* (sqrt -9) (sqrt -1))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow y 2))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -2/3 (/ (pow z 2) y))) x))) x)))))
(* -1 (* x (+ (* -1 (* y (pow (sqrt 3) 2))) (/ z x))))
(* -1 (/ (- (* 1/9 (/ z (* x y))) 1/3) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 2)))) (* 1/9 (/ z y))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) (* x (pow y 3)))) (* 1/27 (/ (pow z 2) (pow y 2)))) x)) (* 1/9 (/ z y))) x)) 1/3) x))
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(+ z (* y (- (* y (- (* 9 (/ (pow x 2) z)) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(+ z (* y (- (* y (- (+ (* 9 (/ (pow x 2) z)) (* y (- (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(* y (+ (* -3 (/ (* x y) (pow z 2))) (/ 1 z)))
(* y (+ (* y (- (* 9 (/ (* (pow x 2) y) (pow z 3))) (* 3 (/ x (pow z 2))))) (/ 1 z)))
(* y (+ (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 4))) (* -9 (/ (pow x 2) (pow z 3))))) (* 3 (/ x (pow z 2))))) (/ 1 z)))
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z)))))
(* y (- (* -1 (/ z y)) (* -3 x)))
(* y (+ (* -3 x) (/ z y)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))))
(* y (- (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3))))))
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(+ (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x)))
(- (+ (* 1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 x))) (* 1/9 (/ z (* (pow x 2) y))))
(- (+ (* -1/81 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (* 1/3 (/ 1 x))) (+ (* -1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/9 (/ z (* (pow x 2) y)))))
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y)
(* -1 (* y (- (/ z y) (* 3 x))))
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x))))
(* -1 (* y (+ (* x (* (sqrt -9) (sqrt -1))) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow x 2))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -2/3 (/ (pow z 2) x))) y))) y)))))
(* -1 (* y (+ (* -1 (* x (pow (sqrt 3) 2))) (/ z y))))
(+ (* -1 (/ (- (* -1/27 (/ (pow z 2) (* (pow x 3) y))) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* (pow x 4) y))) (* -1/27 (/ (pow z 2) (pow x 3)))) y)) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x)))
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(- (* -1 z) (* -3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* 3 (* x y)) (* z (- (* 2/3 (/ z (* x y))) 1)))
(+ (* 3 (* x y)) (* z (- (* z (+ (* -2/9 (/ z (* (pow x 2) (pow y 2)))) (* 2/3 (/ 1 (* x y))))) 1)))
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 2)))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x)))
(+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 3)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x)))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(* z (- (+ 1 (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))))
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(/ (+ y (* -3 (/ (* x (pow y 2)) z))) z)
(/ (- (+ y (* 9 (/ (* (pow x 2) (pow y 3)) (pow z 2)))) (* 3 (/ (* x (pow y 2)) z))) z)
(/ (- (+ y (* -27 (/ (* (pow x 3) (pow y 4)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 3)) (pow z 2))) (* 3 (/ (* x (pow y 2)) z)))) z)
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -9 (* (pow x 2) (pow y 2))) (* -1 (/ (- (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
(* -1 (/ (+ (* -1 y) (* 3 (/ (* x (pow y 2)) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 3)) z)) (* 3 (* x (pow y 2)))) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 4)) z)) (* 9 (* (pow x 2) (pow y 3)))) z)) (* 3 (* x (pow y 2)))) z))) z))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
Outputs
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
z
(+ z (* -3 (* x y)))
(fma.f64 (*.f64 x y) #s(literal -3 binary64) z)
(* -3 (* x y))
(*.f64 (*.f64 x y) #s(literal -3 binary64))
(* x y)
(*.f64 x y)
(sqrt (* x y))
(sqrt.f64 (*.f64 x y))
(* 3 (sqrt (* x y)))
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(+ z (* x (- (* x (- (* 9 (/ (pow y 2) z)) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(fma.f64 (fma.f64 y #s(literal -3 binary64) (*.f64 (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y y) z)) x)) x z)
(+ z (* x (- (* x (- (+ (* 9 (/ (pow y 2) z)) (* x (- (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -54 binary64)) (*.f64 z z)) x (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y y) z))) x (*.f64 y #s(literal -3 binary64))) x z)
(* 9 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 9 binary64))
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(pow x 2)
(*.f64 x x)
(- (* x (* y (pow (sqrt 3) 2))) z)
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(* x (* y (sqrt 3)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) y) x)
(* 9 (* x y))
(*.f64 #s(literal 9 binary64) (*.f64 x y))
(/ y z)
(/.f64 y z)
(+ (* -3 (/ (* x (pow y 2)) (pow z 2))) (/ y z))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal -3 binary64) y) z)
(+ (* x (- (* 9 (/ (* x (pow y 3)) (pow z 3))) (* 3 (/ (pow y 2) (pow z 2))))) (/ y z))
(fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 9 binary64)) z)) (*.f64 z z)) x (/.f64 y z))
(+ (* x (- (* x (- (* -27 (/ (* x (pow y 4)) (pow z 4))) (* -9 (/ (pow y 3) (pow z 3))))) (* 3 (/ (pow y 2) (pow z 2))))) (/ y z))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 9 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal -27 binary64)) (pow.f64 z #s(literal 4 binary64)))) x (*.f64 (/.f64 (/.f64 (*.f64 y y) z) z) #s(literal -3 binary64))) x (/.f64 y z))
1
#s(literal 1 binary64)
(+ 1 (* -3 (/ (* x y) z)))
(fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(fma.f64 (/.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) z)) z) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9 binary64) y) y (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -27 binary64)) x) z)) (*.f64 z z)) x (*.f64 (/.f64 y z) #s(literal -3 binary64))) x #s(literal 1 binary64))
(* 3 (* x y))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(* x (- (* -1 (/ z x)) (* -3 y)))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* x (+ (* -3 y) (/ z x)))
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) x)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* x (+ (* -1 (/ z x)) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y))))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (fma.f64 (*.f64 z (/.f64 (/.f64 z x) y)) #s(literal 2/3 binary64) (neg.f64 z)) x)) x)
(* x (- (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))) (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 y y)) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 y y)) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) y (/.f64 (fma.f64 (*.f64 z (/.f64 (/.f64 z x) y)) #s(literal 2/3 binary64) (neg.f64 z)) x)))) x)
(* x (* y (pow (sqrt 3) 2)))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* -1/9 (/ z (* x y)))) x)
(/.f64 (fma.f64 (/.f64 (/.f64 z x) y) #s(literal -1/9 binary64) #s(literal 1/3 binary64)) x)
(/ (- (+ 1/3 (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 2))))) (* 1/9 (/ z (* x y)))) x)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (/.f64 (*.f64 z (/.f64 z y)) y) (*.f64 (/.f64 z y) #s(literal -1/9 binary64))) x) #s(literal 1/3 binary64)) x)
(/ (- (+ 1/3 (* -1/81 (/ (pow z 3) (* (pow x 3) (pow y 3))))) (+ (* -1/27 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (* 1/9 (/ z (* x y))))) x)
(/.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 z x) y) #s(literal 3 binary64)) #s(literal -1/81 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (/.f64 (*.f64 z (/.f64 z y)) y) (*.f64 (/.f64 z y) #s(literal -1/9 binary64))) x) #s(literal 1/3 binary64))) x)
(* 1/3 (/ z (* x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) y) z)
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(*.f64 (fma.f64 (/.f64 (/.f64 z (*.f64 (*.f64 x x) y)) y) #s(literal -1/9 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) y)) z)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/.f64 (fma.f64 (/.f64 z y) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/9 binary64))) x)) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 z y) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/9 binary64))) x))) x)
(* -1 (* x (- (/ z x) (* 3 y))))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)))
(* -1 (* x (* y (* (sqrt -9) (sqrt -1)))))
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))))
(* -1 (* x (+ (* y (* (sqrt -9) (sqrt -1))) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)) (/.f64 z x)))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y)))
(* -1 (* (sqrt (* x y)) (* (sqrt -9) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 (*.f64 x y))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) x)))))
(*.f64 (neg.f64 x) (fma.f64 y #s(literal -3 binary64) (/.f64 (fma.f64 (*.f64 z (/.f64 (/.f64 z x) y)) #s(literal 2/3 binary64) (neg.f64 z)) (neg.f64 x))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow y 2))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -2/3 (/ (pow z 2) y))) x))) x)))))
(*.f64 (neg.f64 x) (fma.f64 y #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -2/3 binary64) (/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2/9 binary64)) (*.f64 y y)) (neg.f64 x))) (neg.f64 x)) z) (neg.f64 x))))
(* -1 (* x (+ (* -1 (* y (pow (sqrt 3) 2))) (/ z x))))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* -1 (/ (- (* 1/9 (/ z (* x y))) 1/3) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 z y) #s(literal -1/3 binary64)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 2)))) (* 1/9 (/ z y))) x)) 1/3) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (/.f64 (*.f64 z (/.f64 z y)) y) (*.f64 (/.f64 z y) #s(literal -1/9 binary64))) (neg.f64 x)) #s(literal 1/3 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) (* x (pow y 3)))) (* 1/27 (/ (pow z 2) (pow y 2)))) x)) (* 1/9 (/ z y))) x)) 1/3) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -1/9 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/27 binary64))) (neg.f64 x))) (neg.f64 x)) #s(literal 1/3 binary64)) (neg.f64 x))
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 y y)) (*.f64 z (/.f64 z x)) (*.f64 #s(literal -1/3 binary64) (/.f64 z y))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/9 binary64))) (neg.f64 x))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (/.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/9 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 x))) (neg.f64 x))) (neg.f64 x))
(+ z (* y (- (* y (- (* 9 (/ (pow x 2) z)) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(fma.f64 (fma.f64 x #s(literal -3 binary64) (*.f64 (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 x x) z)) y)) y z)
(+ z (* y (- (* y (- (+ (* 9 (/ (pow x 2) z)) (* y (- (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -54 binary64)) (*.f64 z z)) y (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 x x) z))) y (*.f64 x #s(literal -3 binary64))) y z)
(* y (+ (* -3 (/ (* x y) (pow z 2))) (/ 1 z)))
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z) y)
(* y (+ (* y (- (* 9 (/ (* (pow x 2) y) (pow z 3))) (* 3 (/ x (pow z 2))))) (/ 1 z)))
(*.f64 (fma.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) y) #s(literal 9 binary64)) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)) y)
(* y (+ (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 4))) (* -9 (/ (pow x 2) (pow z 3))))) (* 3 (/ x (pow z 2))))) (/ 1 z)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (/.f64 y (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (pow.f64 z #s(literal 3 binary64)))) y (*.f64 (/.f64 x (*.f64 z z)) #s(literal -3 binary64))) y (/.f64 #s(literal 1 binary64) z)) y)
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))
(fma.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) y) #s(literal 9 binary64)) z)) z) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z)))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9 binary64) x) x (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) y) z)) (*.f64 z z)) y (*.f64 (/.f64 x z) #s(literal -3 binary64))) y #s(literal 1 binary64))
(* y (- (* -1 (/ z y)) (* -3 x)))
(*.f64 (fma.f64 #s(literal 3 binary64) x (/.f64 (neg.f64 z) y)) y)
(* y (+ (* -3 x) (/ z y)))
(*.f64 (fma.f64 x #s(literal -3 binary64) (/.f64 z y)) y)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(*.f64 (fma.f64 #s(literal 3 binary64) x (/.f64 (neg.f64 z) y)) y)
(* y (+ (* -1 (/ z y)) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))))
(*.f64 (fma.f64 #s(literal 3 binary64) x (/.f64 (fma.f64 (*.f64 z (/.f64 (/.f64 z x) y)) #s(literal 2/3 binary64) (neg.f64 z)) y)) y)
(* y (- (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) x (/.f64 (fma.f64 (*.f64 z (/.f64 (/.f64 z x) y)) #s(literal 2/3 binary64) (neg.f64 z)) y)))) y)
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) x (/.f64 (neg.f64 z) y)) y)
(+ (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x)))
(/.f64 (fma.f64 (/.f64 (/.f64 z x) y) #s(literal -1/9 binary64) #s(literal 1/3 binary64)) x)
(- (+ (* 1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 x))) (* 1/9 (/ z (* (pow x 2) y))))
(fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 z (/.f64 z y)) y) (/.f64 (fma.f64 (/.f64 (/.f64 z x) y) #s(literal -1/9 binary64) #s(literal 1/3 binary64)) x))
(- (+ (* -1/81 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (* 1/3 (/ 1 x))) (+ (* -1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/9 (/ z (* (pow x 2) y)))))
(fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 z (/.f64 z y)) y) (/.f64 (fma.f64 (/.f64 (/.f64 z x) y) #s(literal -1/9 binary64) #s(literal 1/3 binary64)) x)))
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y)
(*.f64 (fma.f64 (/.f64 (/.f64 z (*.f64 (*.f64 x x) y)) y) #s(literal -1/9 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) y)) z)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z x) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) y) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (*.f64 (*.f64 z (/.f64 (/.f64 z x) x)) #s(literal -1/9 binary64))) y)) y)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y)
(/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 1/3 binary64) (/.f64 z x) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) y) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (*.f64 (*.f64 z (/.f64 (/.f64 z x) x)) #s(literal -1/9 binary64))) y))) y)
(* -1 (* y (- (/ z y) (* 3 x))))
(*.f64 (neg.f64 y) (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal 3 binary64) x (/.f64 (neg.f64 z) y)))
(* -1 (* y (+ (* x (* (sqrt -9) (sqrt -1))) (/ z y))))
(*.f64 (neg.f64 y) (fma.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)) (/.f64 z y)))
(* -1 (* y (+ (* -3 x) (/ z y))))
(*.f64 (neg.f64 y) (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) y)))))
(*.f64 (neg.f64 y) (fma.f64 x #s(literal -3 binary64) (/.f64 (fma.f64 (*.f64 z (/.f64 (/.f64 z x) y)) #s(literal 2/3 binary64) (neg.f64 z)) (neg.f64 y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow x 2))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -2/3 (/ (pow z 2) x))) y))) y)))))
(*.f64 (neg.f64 y) (fma.f64 x #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z x)) #s(literal -2/3 binary64) (/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2/9 binary64)) (*.f64 x x)) (neg.f64 y))) (neg.f64 y)) z) (neg.f64 y))))
(* -1 (* y (+ (* -1 (* x (pow (sqrt 3) 2))) (/ z y))))
(*.f64 (neg.f64 y) (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))
(+ (* -1 (/ (- (* -1/27 (/ (pow z 2) (* (pow x 3) y))) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x)))
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 z (/.f64 z y)) (*.f64 (/.f64 (/.f64 z x) x) #s(literal 1/9 binary64))) (neg.f64 y)) (/.f64 #s(literal -1/3 binary64) x))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* (pow x 4) y))) (* -1/27 (/ (pow z 2) (pow x 3)))) y)) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 z x) x) #s(literal 1/9 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 z z)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 y))) y) #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y))
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 y y)) (*.f64 z (/.f64 z x)) (*.f64 #s(literal -1/3 binary64) (/.f64 z y))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z x) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) y) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (*.f64 (*.f64 z (/.f64 (/.f64 z x) x)) #s(literal -1/9 binary64))) (neg.f64 y))) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z x) (/.f64 (fma.f64 (*.f64 z (/.f64 (/.f64 z x) x)) #s(literal -1/9 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (*.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 y))) (neg.f64 y))) (neg.f64 y))
(- (* -1 z) (* -3 (* x y)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(+ (* 3 (* x y)) (* z (- (* 2/3 (/ z (* x y))) 1)))
(fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x y)) z) #s(literal 1 binary64)) z (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(+ (* 3 (* x y)) (* z (- (* z (+ (* -2/9 (/ z (* (pow x 2) (pow y 2)))) (* 2/3 (/ 1 (* x y))))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (/.f64 z (*.f64 (*.f64 x x) y)) y) #s(literal -2/9 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x y))) z) #s(literal 1 binary64)) z (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 2)))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (*.f64 y y)) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x x) y))) z (/.f64 #s(literal 1/3 binary64) x))
(+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 3)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x x) y))) z (/.f64 #s(literal 1/3 binary64) x))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (fma.f64 (/.f64 (/.f64 z (*.f64 (*.f64 x x) y)) y) #s(literal -1/9 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) y)) z)
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 (/.f64 #s(literal 1/3 binary64) x) y)) z)
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 (/.f64 #s(literal 1/3 binary64) x) y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1 binary64)) z)
(* z (+ 1 (* -3 (/ (* x y) z))))
(*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z)
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -18 binary64) (*.f64 (*.f64 (*.f64 y y) x) x)) z) z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64))) z)
(* z (- (+ 1 (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))))
(*.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -27 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 x x) z) #s(literal 9 binary64)) (/.f64 (*.f64 y y) z) #s(literal 1 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 27 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal -9 binary64) (*.f64 (*.f64 x y) #s(literal 3 binary64))) z))) z)
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1 binary64)) z)
(/ (+ y (* -3 (/ (* x (pow y 2)) z))) z)
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal -3 binary64) y) z)
(/ (- (+ y (* 9 (/ (* (pow x 2) (pow y 3)) (pow z 2)))) (* 3 (/ (* x (pow y 2)) z))) z)
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -3 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x) z) #s(literal 9 binary64))) z) y) z)
(/ (- (+ y (* -27 (/ (* (pow x 3) (pow y 4)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 3)) (pow z 2))) (* 3 (/ (* x (pow y 2)) z)))) z)
(/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) #s(literal -27 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -3 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x) z) #s(literal 9 binary64))) z) y)) z)
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal -9 binary64) (*.f64 (*.f64 x y) #s(literal 3 binary64))) z))
(- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))
(-.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -27 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal -9 binary64) (*.f64 (*.f64 x y) #s(literal 3 binary64))) z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(*.f64 (-.f64 (*.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x #s(literal -3 binary64)) y (/.f64 (*.f64 #s(literal -18 binary64) (*.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 z))) (neg.f64 z)) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -9 (* (pow x 2) (pow y 2))) (* -1 (/ (- (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x #s(literal -3 binary64)) y (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -54 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) z) #s(literal -1 binary64) (*.f64 #s(literal -18 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) (neg.f64 z))) (neg.f64 z)) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
(*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (/ (+ (* -1 y) (* 3 (/ (* x (pow y 2)) z))) z))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 3 binary64) (neg.f64 y)) (neg.f64 z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 3)) z)) (* 3 (* x (pow y 2)))) z))) z))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -3 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x) z) #s(literal 9 binary64))) z) y)) z)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 4)) z)) (* 9 (* (pow x 2) (pow y 3)))) z)) (* 3 (* x (pow y 2)))) z))) z))
(/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) x (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -9 binary64)) (*.f64 x x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) z))) (neg.f64 z))) z)) (neg.f64 z))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal -9 binary64) (*.f64 (*.f64 x y) #s(literal 3 binary64))) z))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) z) #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 9 binary64))) (neg.f64 z))) z))

rewrite270.0ms (4.1%)

Memory
12.8MiB live, 320.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030141
054143
1170133
21227123
08793120
Stop Event
iter limit
node limit
iter limit
Counts
18 → 797
Calls
Call 1
Inputs
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 #s(literal -3 binary64) (*.f64 x y))))
#s(approx (+ (* -3 (* y x)) z) (*.f64 #s(literal -3 binary64) (*.f64 x y)))
(*.f64 #s(literal -3 binary64) (*.f64 x y))
(*.f64 x y)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))) (neg.f64 z))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)))
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(*.f64 x x)
(fma.f64 (*.f64 (*.f64 x y) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64)) (neg.f64 z))
(*.f64 (*.f64 x y) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(literal 3 binary64))
(*.f64 #s(literal 9 binary64) (*.f64 x y))
(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(neg.f64 z)
Outputs
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x))
(*.f64 (*.f64 y #s(literal -3 binary64)) x)
(*.f64 (*.f64 x #s(literal -3 binary64)) y)
(*.f64 (*.f64 x y) #s(literal -3 binary64))
(*.f64 x (*.f64 y #s(literal -3 binary64)))
(*.f64 y (*.f64 x #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 x y))
(*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) x)
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 x y))) (fabs.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (neg.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
(*.f64 x (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 x y)
(*.f64 y x)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) x) y)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) x) y)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (neg.f64 z) (*.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) x) y)) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) x) y)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) x) y)))) (+.f64 (neg.f64 z) (*.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) x) y))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 (neg.f64 (*.f64 x y)) #s(literal 3 binary64)))) (+.f64 (neg.f64 z) (*.f64 (neg.f64 (*.f64 x y)) #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y)))) (sqrt.f64 (*.f64 x y))) (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y)))) (sqrt.f64 (*.f64 x y))))) (+.f64 (neg.f64 z) (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y)))) (sqrt.f64 (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y)))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y)))))) (+.f64 (neg.f64 z) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))))))
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(pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (*.f64 #s(literal 9 binary64) (*.f64 x y))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 y (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (neg.f64 z)))) (fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z)))
(*.f64 (/.f64 y (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))))
(/.f64 (*.f64 y (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (neg.f64 z))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 z z (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z)))))
(/.f64 (*.f64 y (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (neg.f64 z)))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (neg.f64 z))) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
(/.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 4 binary64)) (pow.f64 (*.f64 z (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)) (*.f64 z (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 6 binary64)) (pow.f64 (*.f64 z (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 z (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)) (*.f64 z (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)))))))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))))
(/.f64 (neg.f64 y) (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
(/.f64 y (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))
(neg.f64 (/.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
(neg.f64 (/.f64 y (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))))
(*.f64 (/.f64 z (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (neg.f64 z)))) (fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z)))
(*.f64 (/.f64 z (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))))
(/.f64 (*.f64 z (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (neg.f64 z))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 z z (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z)))))
(/.f64 (*.f64 z (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (neg.f64 z)))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (neg.f64 z))) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 4 binary64)) (pow.f64 (*.f64 z (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)) (*.f64 z (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)))))
(/.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 6 binary64)) (pow.f64 (*.f64 z (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 z (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)) (*.f64 z (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))))
(/.f64 (neg.f64 z) (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
(/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))
(neg.f64 (/.f64 (neg.f64 z) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
(neg.f64 (/.f64 z (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))))
(neg.f64 z)

eval330.0ms (5%)

Memory
15.9MiB live, 213.8MiB allocated
Compiler

Compiled 22 409 to 2 211 computations (90.1% saved)

prune73.0ms (1.1%)

Memory
-7.7MiB live, 48.7MiB allocated
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New7076713
Fresh000
Picked404
Done224
Total7138721
Accuracy
100.0%
Counts
721 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.1%
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
99.9%
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
87.3%
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z)))
86.7%
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) x)))
53.2%
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x)))
53.2%
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 x #s(literal -3 binary64)) y)))
49.4%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
53.2%
#s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
Compiler

Compiled 239 to 188 computations (21.3% saved)

simplify112.0ms (1.7%)

Memory
-3.1MiB live, 128.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y #s(literal -3 binary64) (/.f64 z x))
cost-diff0
#s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) x))
cost-diff0
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) x)))
cost-diff2
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) x)
cost-diff0
(*.f64 y #s(literal -3 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal -3 binary64)) x)
cost-diff0
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x))
cost-diff0
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x)))
cost-diff0
(*.f64 x #s(literal -3 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal -3 binary64)) y)
cost-diff0
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 x #s(literal -3 binary64)) y))
cost-diff0
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 x #s(literal -3 binary64)) y)))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) #s(literal 3 binary64))
cost-diff0
#s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
cost-diff0
(fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z))
cost-diff0
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z)))
cost-diff4
(*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037227
055233
188229
2169229
3400229
41041210
52459210
64890210
76338210
87161210
08023196
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z))
(*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z)
(fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
#s(literal -3 binary64)
#s(literal 1 binary64)
#s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
x
y
#s(literal 3 binary64)
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 x #s(literal -3 binary64)) y)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 x #s(literal -3 binary64)) y))
(*.f64 (*.f64 x #s(literal -3 binary64)) y)
(*.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
y
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x))
(*.f64 (*.f64 y #s(literal -3 binary64)) x)
(*.f64 y #s(literal -3 binary64))
y
#s(literal -3 binary64)
x
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) x)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) x))
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) x)
(fma.f64 y #s(literal -3 binary64) (/.f64 z x))
y
#s(literal -3 binary64)
(/.f64 z x)
z
x
Outputs
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z)))
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z))
#s(approx (+ (* -3 (* y x)) z) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))
(*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z)
(fma.f64 (*.f64 y #s(literal -3 binary64)) x z)
(fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
#s(literal -3 binary64)
#s(literal 1 binary64)
#s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
#s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 x y)
x
y
#s(literal 3 binary64)
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 x #s(literal -3 binary64)) y)))
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 x #s(literal -3 binary64)) y))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x))
(*.f64 (*.f64 x #s(literal -3 binary64)) y)
(*.f64 (*.f64 y #s(literal -3 binary64)) x)
(*.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
y
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x))
(*.f64 (*.f64 y #s(literal -3 binary64)) x)
(*.f64 y #s(literal -3 binary64))
y
#s(literal -3 binary64)
x
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) x)))
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) x))
#s(approx (+ (* -3 (* y x)) z) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) x)
(fma.f64 (*.f64 y #s(literal -3 binary64)) x z)
(fma.f64 y #s(literal -3 binary64) (/.f64 z x))
y
#s(literal -3 binary64)
(/.f64 z x)
z
x

localize155.0ms (2.4%)

Memory
-18.0MiB live, 284.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) x)))
accuracy0.0
#s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) x))
accuracy0.00390625
(fma.f64 y #s(literal -3 binary64) (/.f64 z x))
accuracy8.508868709807032
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) x)
accuracy0.0
(*.f64 y #s(literal -3 binary64))
accuracy0.0
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x)))
accuracy0.21875
(*.f64 (*.f64 y #s(literal -3 binary64)) x)
accuracy29.853463668673875
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x))
accuracy0.0
(*.f64 x #s(literal -3 binary64))
accuracy0.0
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 x #s(literal -3 binary64)) y)))
accuracy0.1953125
(*.f64 (*.f64 x #s(literal -3 binary64)) y)
accuracy29.853463668673875
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 x #s(literal -3 binary64)) y))
accuracy0.0
(*.f64 x y)
accuracy0.2265625
(*.f64 (*.f64 x y) #s(literal 3 binary64))
accuracy29.853463668673875
#s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
accuracy0.0
#s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z))
accuracy0.1015625
(fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64))
accuracy4.012582976911023
(*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z)
accuracy7.7695522437441795
(*.f64 (/.f64 y z) x)
Samples
112.0ms231×0valid
7.0ms3valid
5.0ms11×2valid
4.0ms1valid
Compiler

Compiled 163 to 31 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-neg: 36.0ms (43.9% of total)
ival-mult: 31.0ms (37.8% of total)
ival-add: 6.0ms (7.3% of total)
ival-div: 5.0ms (6.1% of total)
adjust: 2.0ms (2.4% of total)
ival-sqrt: 2.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series32.0ms (0.5%)

Memory
9.0MiB live, 100.3MiB allocated
Counts
20 → 47
Calls
Call 1
Inputs
(*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z)
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z))
(fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64))
#s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 x #s(literal -3 binary64)) y)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 x #s(literal -3 binary64)) y))
(*.f64 (*.f64 x #s(literal -3 binary64)) y)
(*.f64 x #s(literal -3 binary64))
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x))
(*.f64 (*.f64 y #s(literal -3 binary64)) x)
(*.f64 y #s(literal -3 binary64))
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) x)
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) x)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) x))
(fma.f64 y #s(literal -3 binary64) (/.f64 z x))
(*.f64 (/.f64 y z) x)
Outputs
z
(+ z (* -3 (* x y)))
(* -1 z)
(- (* 3 (* x y)) z)
1
(+ 1 (* -3 (/ (* x y) z)))
(- (* x (* y (pow (sqrt 3) 2))) z)
(* 3 (* x y))
(* x y)
(* -3 (* x y))
(* -3 x)
(/ z x)
(/ (+ z (* -3 (* x y))) x)
(/ (* x y) z)
(* x (+ (* -3 y) (/ z x)))
(* x (- (* -1 (/ z x)) (* -3 y)))
(* -3 (/ (* x y) z))
(* x (+ (* -3 (/ y z)) (/ 1 x)))
(* x (* y (pow (sqrt 3) 2)))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(* -3 y)
(+ (* -3 y) (/ z x))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
(* -1 (* x (- (/ z x) (* 3 y))))
(* -1 (* x (- (* 3 (/ y z)) (/ 1 x))))
(* -1 (* x (+ (* -1 (* y (pow (sqrt 3) 2))) (/ z x))))
(* y (+ (* -3 x) (/ z y)))
(* y (- (* -1 (/ z y)) (* -3 x)))
(* y (+ (* -3 (/ x z)) (/ 1 y)))
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(* y (- (/ z (* x y)) 3))
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x))))
(* -1 (* y (- (/ z y) (* 3 x))))
(* -1 (* y (- (* 3 (/ x z)) (/ 1 y))))
(* -1 (* y (+ (* -1 (* x (pow (sqrt 3) 2))) (/ z y))))
(* -1 (* y (+ 3 (* -1 (/ z (* x y))))))
(- (* -1 z) (* -3 (* x y)))
(/ (+ z (* -3 (* x y))) z)
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(* z (+ (* -3 (/ y z)) (/ 1 x)))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
(* -1 (* z (- (* 3 (/ y z)) (/ 1 x))))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
y
@0
((* (+ (* (* (/ y z) x) -3) 1) z) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (+ (* (* (/ y z) x) -3) 1) (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (* (* x y) 3) (* x y) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (* x -3) y) (* x -3) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (* y -3) x) (* y -3) (* (+ (* y -3) (/ z x)) x) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (+ (* y -3) (/ z x)) (* (/ y z) x))
5.0ms
z
@inf
((* (+ (* (* (/ y z) x) -3) 1) z) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (+ (* (* (/ y z) x) -3) 1) (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (* (* x y) 3) (* x y) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (* x -3) y) (* x -3) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (* y -3) x) (* y -3) (* (+ (* y -3) (/ z x)) x) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (+ (* y -3) (/ z x)) (* (/ y z) x))
3.0ms
x
@-inf
((* (+ (* (* (/ y z) x) -3) 1) z) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (+ (* (* (/ y z) x) -3) 1) (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (* (* x y) 3) (* x y) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (* x -3) y) (* x -3) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (* y -3) x) (* y -3) (* (+ (* y -3) (/ z x)) x) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (+ (* y -3) (/ z x)) (* (/ y z) x))
3.0ms
y
@-inf
((* (+ (* (* (/ y z) x) -3) 1) z) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (+ (* (* (/ y z) x) -3) 1) (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (* (* x y) 3) (* x y) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (* x -3) y) (* x -3) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (* y -3) x) (* y -3) (* (+ (* y -3) (/ z x)) x) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (+ (* y -3) (/ z x)) (* (/ y z) x))
3.0ms
x
@inf
((* (+ (* (* (/ y z) x) -3) 1) z) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (+ (* (* (/ y z) x) -3) 1) (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (* (* x y) 3) (* x y) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (* x -3) y) (* x -3) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (* y -3) x) (* y -3) (* (+ (* y -3) (/ z x)) x) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (+ (* y -3) (/ z x)) (* (/ y z) x))

simplify250.0ms (3.8%)

Memory
30.1MiB live, 222.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108312
1333312
21157300
33154300
45960300
57586300
08120281
Stop Event
iter limit
node limit
Counts
47 → 46
Calls
Call 1
Inputs
z
(+ z (* -3 (* x y)))
(* -1 z)
(- (* 3 (* x y)) z)
1
(+ 1 (* -3 (/ (* x y) z)))
(- (* x (* y (pow (sqrt 3) 2))) z)
(* 3 (* x y))
(* x y)
(* -3 (* x y))
(* -3 x)
(/ z x)
(/ (+ z (* -3 (* x y))) x)
(/ (* x y) z)
(* x (+ (* -3 y) (/ z x)))
(* x (- (* -1 (/ z x)) (* -3 y)))
(* -3 (/ (* x y) z))
(* x (+ (* -3 (/ y z)) (/ 1 x)))
(* x (* y (pow (sqrt 3) 2)))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(* -3 y)
(+ (* -3 y) (/ z x))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
(* -1 (* x (- (/ z x) (* 3 y))))
(* -1 (* x (- (* 3 (/ y z)) (/ 1 x))))
(* -1 (* x (+ (* -1 (* y (pow (sqrt 3) 2))) (/ z x))))
(* y (+ (* -3 x) (/ z y)))
(* y (- (* -1 (/ z y)) (* -3 x)))
(* y (+ (* -3 (/ x z)) (/ 1 y)))
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(* y (- (/ z (* x y)) 3))
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x))))
(* -1 (* y (- (/ z y) (* 3 x))))
(* -1 (* y (- (* 3 (/ x z)) (/ 1 y))))
(* -1 (* y (+ (* -1 (* x (pow (sqrt 3) 2))) (/ z y))))
(* -1 (* y (+ 3 (* -1 (/ z (* x y))))))
(- (* -1 z) (* -3 (* x y)))
(/ (+ z (* -3 (* x y))) z)
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(* z (+ (* -3 (/ y z)) (/ 1 x)))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
(* -1 (* z (- (* 3 (/ y z)) (/ 1 x))))
Outputs
z
(+ z (* -3 (* x y)))
(fma.f64 (*.f64 x y) #s(literal -3 binary64) z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
1
#s(literal 1 binary64)
(+ 1 (* -3 (/ (* x y) z)))
(/.f64 (fma.f64 (*.f64 x y) #s(literal -3 binary64) z) z)
(- (* x (* y (pow (sqrt 3) 2))) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* x y)
(*.f64 x y)
(* -3 (* x y))
(*.f64 (*.f64 x y) #s(literal -3 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(/ z x)
(/.f64 z x)
(/ (+ z (* -3 (* x y))) x)
(fma.f64 #s(literal -3 binary64) y (/.f64 z x))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* x (+ (* -3 y) (/ z x)))
(fma.f64 (*.f64 x y) #s(literal -3 binary64) z)
(* x (- (* -1 (/ z x)) (* -3 y)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* -3 (/ (* x y) z))
(*.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64))
(* x (+ (* -3 (/ y z)) (/ 1 x)))
(/.f64 (fma.f64 (*.f64 x y) #s(literal -3 binary64) z) z)
(* x (* y (pow (sqrt 3) 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* -3 y)
(*.f64 #s(literal -3 binary64) y)
(+ (* -3 y) (/ z x))
(fma.f64 #s(literal -3 binary64) y (/.f64 z x))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
(fma.f64 (*.f64 x y) #s(literal -3 binary64) z)
(* -1 (* x (- (/ z x) (* 3 y))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* -1 (* x (- (* 3 (/ y z)) (/ 1 x))))
(/.f64 (fma.f64 (*.f64 x y) #s(literal -3 binary64) z) z)
(* -1 (* x (+ (* -1 (* y (pow (sqrt 3) 2))) (/ z x))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* y (+ (* -3 x) (/ z y)))
(fma.f64 (*.f64 x y) #s(literal -3 binary64) z)
(* y (- (* -1 (/ z y)) (* -3 x)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* y (+ (* -3 (/ x z)) (/ 1 y)))
(/.f64 (fma.f64 (*.f64 x y) #s(literal -3 binary64) z) z)
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* y (- (/ z (* x y)) 3))
(fma.f64 #s(literal -3 binary64) y (/.f64 z x))
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x))))
(fma.f64 (*.f64 x y) #s(literal -3 binary64) z)
(* -1 (* y (- (/ z y) (* 3 x))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* -1 (* y (- (* 3 (/ x z)) (/ 1 y))))
(/.f64 (fma.f64 (*.f64 x y) #s(literal -3 binary64) z) z)
(* -1 (* y (+ (* -1 (* x (pow (sqrt 3) 2))) (/ z y))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* -1 (* y (+ 3 (* -1 (/ z (* x y))))))
(fma.f64 #s(literal -3 binary64) y (/.f64 z x))
(- (* -1 z) (* -3 (* x y)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(/ (+ z (* -3 (* x y))) z)
(/.f64 (fma.f64 (*.f64 x y) #s(literal -3 binary64) z) z)
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* z (+ 1 (* -3 (/ (* x y) z))))
(fma.f64 (*.f64 x y) #s(literal -3 binary64) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* z (+ (* -3 (/ y z)) (/ 1 x)))
(fma.f64 #s(literal -3 binary64) y (/.f64 z x))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(fma.f64 (*.f64 x y) #s(literal -3 binary64) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* -1 (* z (- (* 3 (/ y z)) (/ 1 x))))
(fma.f64 #s(literal -3 binary64) y (/.f64 z x))

rewrite259.0ms (3.9%)

Memory
-16.0MiB live, 274.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037203
055203
1143199
2860198
08723189
Stop Event
iter limit
node limit
iter limit
Counts
20 → 343
Calls
Call 1
Inputs
(*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z)
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z))
(fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64))
#s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 x #s(literal -3 binary64)) y)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 x #s(literal -3 binary64)) y))
(*.f64 (*.f64 x #s(literal -3 binary64)) y)
(*.f64 x #s(literal -3 binary64))
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x))
(*.f64 (*.f64 y #s(literal -3 binary64)) x)
(*.f64 y #s(literal -3 binary64))
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) x)
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) x)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) x))
(fma.f64 y #s(literal -3 binary64) (/.f64 z x))
(*.f64 (/.f64 y z) x)
Outputs
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z)) #s(literal 1 binary64)) z)
(*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z)) #s(literal 1 binary64)))
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z)))))
(/.f64 (*.f64 z (neg.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))) #s(literal 1 binary64))))
(/.f64 (*.f64 z (neg.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal -27 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))) z) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))) z)) (*.f64 z z)) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))) z) z))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))) z) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))) z))) (-.f64 z (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))) z)))
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z)))) (*.f64 z (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))))) (*.f64 z z)) (-.f64 (*.f64 z (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z)))) z))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z)))) (*.f64 z (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z)))))) (-.f64 z (*.f64 z (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))) z) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))) z) (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))) z) z))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))) z) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))) z) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))) z)) (*.f64 z (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z)))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 z (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z)))) (*.f64 z (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z)))) (-.f64 (*.f64 z z) (*.f64 (*.f64 z (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z)))) z))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z)))) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 (*.f64 z (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z)))) (*.f64 z (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))))) (*.f64 z (*.f64 z (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) z)) (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal -27 binary64) #s(literal 1 binary64)) z)) (neg.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z)))))))
(/.f64 (neg.f64 (*.f64 z (fma.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))) #s(literal 3 binary64)) z z)) (neg.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z)))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) z) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal -27 binary64) #s(literal 1 binary64)) z) (fma.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))))))
(/.f64 (*.f64 z (fma.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))) #s(literal 3 binary64)) z z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (/.f64 y z)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x (/.f64 y z))) #s(literal -3 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))) #s(literal 3 binary64)) z z) (fma.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x (/.f64 y z))))))
(fma.f64 (*.f64 z (*.f64 #s(literal -3 binary64) (/.f64 y z))) x z)
(fma.f64 (*.f64 z (*.f64 (/.f64 y z) #s(literal -3 binary64))) x z)
(fma.f64 (*.f64 z (*.f64 #s(literal -3 binary64) x)) (/.f64 y z) z)
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(+.f64 (/.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) y) (-.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))) (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) y) (-.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) y) (-.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))) (/.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) y) (-.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))))
(+.f64 (/.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 9 binary64) (*.f64 (/.f64 z x) (-.f64 (/.f64 z x) (*.f64 #s(literal -3 binary64) y))))) (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 9 binary64) (*.f64 (/.f64 z x) (-.f64 (/.f64 z x) (*.f64 #s(literal -3 binary64) y))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 9 binary64) (*.f64 (/.f64 z x) (-.f64 (/.f64 z x) (*.f64 #s(literal -3 binary64) y))))) (/.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 9 binary64) (*.f64 (/.f64 z x) (-.f64 (/.f64 z x) (*.f64 #s(literal -3 binary64) y))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))) (/.f64 (neg.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(+.f64 (/.f64 z x) (*.f64 (neg.f64 y) #s(literal 3 binary64)))
(+.f64 (/.f64 z x) (*.f64 #s(literal -3 binary64) y))
(+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))
(*.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(*.f64 x (*.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 y z) (*.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 y z) x)
(*.f64 y (*.f64 (/.f64 x z) #s(literal 1 binary64)))
(*.f64 y (/.f64 x z))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) x)) z)
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 (*.f64 x y) z)
(neg.f64 (/.f64 (*.f64 (neg.f64 y) x) z))

eval65.0ms (1%)

Memory
20.3MiB live, 65.9MiB allocated
Compiler

Compiled 9 863 to 1 387 computations (85.9% saved)

prune38.0ms (0.6%)

Memory
-13.3MiB live, 32.6MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New3253328
Fresh101
Picked325
Done022
Total3297336
Accuracy
100.0%
Counts
336 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
78.0%
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (fma.f64 (/.f64 y z) (*.f64 (*.f64 #s(literal -3 binary64) x) z) z)))
86.7%
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) x)))
49.4%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
53.2%
#s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
53.2%
#s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
53.2%
#s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
Compiler

Compiled 405 to 188 computations (53.6% saved)

regimes98.0ms (1.5%)

Memory
10.8MiB live, 104.8MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
#s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 #s(literal -3 binary64) (*.f64 x y))))
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 x #s(literal -3 binary64)) y)))
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x)))
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) x)))
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z)))
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (fma.f64 (/.f64 y z) (*.f64 (*.f64 #s(literal -3 binary64) x) z) z)))
(fma.f64 (*.f64 (*.f64 x y) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64)) (neg.f64 z))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))) (neg.f64 z))
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))) (sqrt.f64 (*.f64 y x))) z)
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64))) z)
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
Outputs
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
Calls

6 calls:

47.0ms
y
15.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
10.0ms
x
9.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
9.0ms
(*.f64 x #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.9%1(*.f64 x #s(literal 3 binary64))
99.9%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
99.9%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
99.9%1x
99.9%1y
99.9%1z
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes35.0ms (0.5%)

Memory
-19.3MiB live, 64.3MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
#s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 #s(literal -3 binary64) (*.f64 x y))))
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 x #s(literal -3 binary64)) y)))
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x)))
Outputs
#s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
Calls

6 calls:

8.0ms
y
8.0ms
(*.f64 x #s(literal 3 binary64))
6.0ms
x
6.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
3.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Results
AccuracySegmentsBranch
74.4%3(*.f64 x #s(literal 3 binary64))
83.8%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
70.3%5(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
74.4%3x
77.7%3y
73.1%3z
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes4.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
Outputs
#s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
Calls

1 calls:

3.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Results
AccuracySegmentsBranch
83.8%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 5 to 6 computations (-20% saved)

regimes88.0ms (1.3%)

Memory
-29.6MiB live, 33.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Outputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Calls

6 calls:

2.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
2.0ms
(*.f64 x #s(literal 3 binary64))
2.0ms
y
2.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
2.0ms
x
Results
AccuracySegmentsBranch
49.4%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
49.4%1z
49.4%1(*.f64 x #s(literal 3 binary64))
49.4%1x
49.4%1y
49.4%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 18 to 27 computations (-50% saved)

bsearch2.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1495840262044419600.0
1.241841243619393e+23
0.0ms
-8.482211334301528e-20
-6.353118948970981e-28
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1495840262044419600.0
1.241841243619393e+23
0.0ms
-8.482211334301528e-20
-6.353118948970981e-28
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify39.0ms (0.6%)

Memory
3.6MiB live, 47.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035124
158112
289112
3166112
4291112
5379112
6380112
Stop Event
saturated
Calls
Call 1
Inputs
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -2076918743413931/41538374868278621028243970633760768 binary64)) #s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2000000000000000000 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -2076918743413931/41538374868278621028243970633760768 binary64)) #s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2000000000000000000 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 #s(literal 3 binary64) x) y))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Outputs
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -2076918743413931/41538374868278621028243970633760768 binary64)) #s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2000000000000000000 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -2076918743413931/41538374868278621028243970633760768 binary64)) #s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2000000000000000000 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 #s(literal 3 binary64) x) y))))
(if (or (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -2076918743413931/41538374868278621028243970633760768 binary64)) (not (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2000000000000000000 binary64)))) #s(approx (+ (* (* (* x y) (sqrt 3)) (sqrt 3)) (neg z)) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))

soundness1.3s (19.3%)

Memory
-17.5MiB live, 819.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03866
112166
240266
3111766
4303866
5489266
6596966
7617966
8710966
0852766
06392369
120482260
272452236
085832096
037203
055203
1143199
2860198
08723189
025107
04291
113187
264787
3626587
0803887
0715
01015
12615
216415
3175815
0873114
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 220 to 130 computations (40.9% saved)

preprocess50.0ms (0.8%)

Memory
16.8MiB live, 62.1MiB allocated
Remove

(sort x y)

Compiler

Compiled 290 to 116 computations (60% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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