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

Time bar (total: 8.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.0MiB live, 1.0MiB 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)

sample632.0ms (7.5%)

Memory
12.5MiB live, 723.4MiB allocated
Samples
417.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 182.0ms
ival-mult: 128.0ms (70.2% of total)
ival-sub: 41.0ms (22.5% of total)
ival-true: 6.0ms (3.3% of total)
exact: 4.0ms (2.2% of total)
ival-assert: 4.0ms (2.2% of total)
Bogosity

explain65.0ms (0.8%)

Memory
13.4MiB live, 73.2MiB 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: 10.0ms
ival-mult: 7.0ms (70.9% of total)
ival-sub: 2.0ms (20.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess19.0ms (0.2%)

Memory
-11.8MiB live, 17.4MiB 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
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Compiler

Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0%)

Memory
3.2MiB live, 3.2MiB 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

localize15.0ms (0.2%)

Memory
17.1MiB live, 17.1MiB 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))
accuracy0.16796875
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Samples
11.0ms256×0valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (62.7% of total)
ival-sub: 1.0ms (20.9% 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
6.5MiB live, 6.5MiB 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))

simplify3.3s (39.2%)

Memory
-371.7MiB live, 84.5MiB 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))

rewrite216.0ms (2.6%)

Memory
19.8MiB live, 169.0MiB 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)))
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(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) (fabs.f64 (fabs.f64 (*.f64 y x))))
(*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (fabs.f64 (*.f64 y x)))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(*.f64 x (*.f64 y #s(literal 3 binary64)))
(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))

eval49.0ms (0.6%)

Memory
-23.7MiB live, 47.4MiB allocated
Compiler

Compiled 8 430 to 627 computations (92.6% saved)

prune6.0ms (0.1%)

Memory
20.0MiB live, 20.0MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2305235
Fresh000
Picked011
Done000
Total2306236
Accuracy
100.0%
Counts
236 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.3%
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.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))))
99.9%
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
60.2%
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64))) z)
99.8%
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
50.5%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 139 to 113 computations (18.7% saved)

simplify188.0ms (2.2%)

Memory
-13.6MiB live, 135.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
cost-diff0
(fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))
cost-diff0
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.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))))
cost-diff0
(sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64)))
cost-diff0
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64))) z)
cost-diff2
(*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)
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))
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (- (* (* x 3) y) z) (neg.f64 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)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036228
063228
1109228
2270220
31121220
43287220
55414220
08042220
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.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
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
(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
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x))
(*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
y
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(sqrt.f64 #s(literal 3 binary64))
z
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.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))))
(fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))
#s(literal -27 binary64)
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
y
x
#s(literal 3 binary64)
(pow.f64 z #s(literal 3 binary64))
z
(neg.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)))
(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 (*.f64 y x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 9 binary64)
(*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(*.f64 #s(literal 3 binary64) x)
Outputs
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
y
#s(literal 3 binary64)
x
z
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 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
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64))) z)
(-.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)
(*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y)
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
y
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
x
(sqrt.f64 #s(literal 3 binary64))
z
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.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 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (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 x #s(literal 3 binary64)) y 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 x y) #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 z #s(literal 3 binary64)))
#s(literal -27 binary64)
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 3 binary64)
(pow.f64 z #s(literal 3 binary64))
z
(neg.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)))
(neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) 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))
(fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) z))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 9 binary64)
(*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)
(*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) z)
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))

localize123.0ms (1.5%)

Memory
8.0MiB live, 152.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy2.437446461527737
(*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)
accuracy3.019514736641647
(fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))
accuracy3.0390625000000004
(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))
accuracy40.34317608658421
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.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))))
accuracy0.16796875
(*.f64 y (*.f64 #s(literal 3 binary64) x))
accuracy0.296875
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64)))
accuracy5.326288150883674
(*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)
accuracy16.966771536498083
(sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x))
accuracy0.0
(*.f64 y x)
accuracy0.0
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
accuracy0.12109375
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z)
accuracy0.0
(neg.f64 z)
accuracy31.702872811233856
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
accuracy0.0
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
accuracy0.0
(*.f64 y #s(literal 3 binary64))
accuracy0.14453125
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
Samples
72.0ms256×0valid
Compiler

Compiled 239 to 40 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 20.0ms (40% of total)
ival-pow: 10.0ms (20% of total)
ival-add: 4.0ms (8% of total)
ival-sub: 4.0ms (8% of total)
ival-sqrt: 3.0ms (6% of total)
ival-neg: 3.0ms (6% of total)
ival-div: 2.0ms (4% of total)
ival-pow2: 2.0ms (4% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series115.0ms (1.4%)

Memory
-7.4MiB live, 88.9MiB allocated
Counts
18 → 87
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
(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)
(*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.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))))
(fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(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 y (*.f64 #s(literal 3 binary64) x) z) z)
Outputs
(* -1 z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
z
(+ z (* -3 (* x y)))
(* x y)
(* 3 (* (pow x 2) (pow y 2)))
(- (* x (* y (pow (sqrt 3) 2))) z)
(* x (* y (pow (sqrt 3) 2)))
(* x (* y (sqrt 3)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))))
(+ (* -1 z) (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* -3 (/ (* x (* y (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z))))) z)) (* 9 (/ (pow y 2) z))))))))
(pow z 3)
(+ (* -27 (* (pow x 3) (pow y 3))) (pow z 3))
(* (pow x 3) (pow y 3))
(pow z 2)
(+ (* 3 (* x (* y z))) (pow z 2))
(+ (* x (+ (* 3 (* y z)) (* 9 (* x (pow y 2))))) (pow z 2))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (- (* -1 (/ z x)) (* -3 y)))
(* -3 (* x y))
(* x (+ (* -3 y) (/ z x)))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(* x (+ (* -1 (/ z x)) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))))
(* x (+ (* -1 (/ z x)) (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) (* (pow x 3) y))) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y))))))
(* -27 (* (pow x 3) (pow y 3)))
(* (pow x 3) (+ (* -27 (pow y 3)) (/ (pow z 3) (pow x 3))))
(* 9 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* 3 (/ (* y z) x)) (* 9 (pow y 2))))
(* (pow x 2) (+ (* 3 (/ (* y z) x)) (+ (* 9 (pow y 2)) (/ (pow z 2) (pow x 2)))))
(* 3 (* x (* y z)))
(* x (+ (* 3 (* y z)) (/ (pow z 2) x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (- (/ z x) (* 3 y))))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
(* -1 (* x (* y (pow (sqrt 3) 2))))
(* -1 (* x (+ (* y (pow (sqrt 3) 2)) (/ z x))))
(* -1 (* x (* y (sqrt 3))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y))) x))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) (* x y))) (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) x))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* 27 (pow y 3)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -3 (* y z)) (* -1 (/ (pow z 2) x))) x)) (* 9 (pow y 2))))
(* -1 (* x (+ (* -3 (* y z)) (* -1 (/ (pow z 2) x)))))
(* 3 y)
(+ (* -1 z) (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))))
(+ (* -1 z) (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* -3 (/ (* x (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z))))) z)) (* 9 (/ (pow x 2) z))))))))
(+ (* y (+ (* 3 (* x z)) (* 9 (* (pow x 2) y)))) (pow z 2))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (- (* -1 (/ z y)) (* -3 x)))
(* y (+ (* -3 x) (/ z y)))
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(* y (+ (* -1 (/ z y)) (+ (* -1/3 (/ (pow z 2) (* x (pow y 2)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))))
(* y (+ (* -1 (/ z y)) (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) (* x (pow y 3)))) (+ (* -1/3 (/ (pow z 2) (* x (pow y 2)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))))))
(* (pow y 3) (+ (* -27 (pow x 3)) (/ (pow z 3) (pow y 3))))
(* (pow y 2) (+ (* 3 (/ (* x z) y)) (* 9 (pow x 2))))
(* (pow y 2) (+ (* 3 (/ (* x z) y)) (+ (* 9 (pow x 2)) (/ (pow z 2) (pow y 2)))))
(* y (+ (* 3 (* x z)) (/ (pow z 2) y)))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (- (/ z y) (* 3 x))))
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x))))
(* -1 (* y (+ (* x (pow (sqrt 3) 2)) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x))) y))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) (* x y))) (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) y))) y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* 27 (pow x 3)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* x z)) (* -1 (/ (pow z 2) y))) y)) (* 9 (pow x 2))))
(* -1 (* y (+ (* -3 (* x z)) (* -1 (/ (pow z 2) y)))))
(- (* -1 z) (* -3 (* x y)))
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(+ (* 3 (* x (* y z))) (* 9 (* (pow x 2) (pow y 2))))
(+ (* 9 (* (pow x 2) (pow y 2))) (* z (+ z (* 3 (* x y)))))
(* z (+ z (* 3 (* x y))))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* -3 (/ (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))))) (pow z 3))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))) 1))
(* (pow z 3) (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))
(* (pow z 2) (+ 1 (* 3 (/ (* x y) z))))
(* (pow z 2) (+ 1 (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -3 (/ (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))
(* -1 (* (pow z 3) (- (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z))))
Calls

9 calls:

TimeVariablePointExpression
76.0ms
y
@-inf
((- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* x 3) y) z) (neg z) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* y x) (* (* (* y (* 3 x)) y) x) (- (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) z) (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) (sqrt (* (* (* y (* 3 x)) y) x)) (/ (+ (* -27 (pow (* y x) 3)) (pow z 3)) (neg (+ (* (pow (* y x) 2) 9) (* (+ (* y (* 3 x)) z) z)))) (+ (* -27 (pow (* y x) 3)) (pow z 3)) (pow (* y x) 3) (* y (* 3 x)) (+ (* (pow (* y x) 2) 9) (* (+ (* y (* 3 x)) z) z)) (* (+ (* y (* 3 x)) z) z))
8.0ms
x
@0
((- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* x 3) y) z) (neg z) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* y x) (* (* (* y (* 3 x)) y) x) (- (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) z) (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) (sqrt (* (* (* y (* 3 x)) y) x)) (/ (+ (* -27 (pow (* y x) 3)) (pow z 3)) (neg (+ (* (pow (* y x) 2) 9) (* (+ (* y (* 3 x)) z) z)))) (+ (* -27 (pow (* y x) 3)) (pow z 3)) (pow (* y x) 3) (* y (* 3 x)) (+ (* (pow (* y x) 2) 9) (* (+ (* y (* 3 x)) z) z)) (* (+ (* y (* 3 x)) z) z))
7.0ms
y
@0
((- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* x 3) y) z) (neg z) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* y x) (* (* (* y (* 3 x)) y) x) (- (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) z) (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) (sqrt (* (* (* y (* 3 x)) y) x)) (/ (+ (* -27 (pow (* y x) 3)) (pow z 3)) (neg (+ (* (pow (* y x) 2) 9) (* (+ (* y (* 3 x)) z) z)))) (+ (* -27 (pow (* y x) 3)) (pow z 3)) (pow (* y x) 3) (* y (* 3 x)) (+ (* (pow (* y x) 2) 9) (* (+ (* y (* 3 x)) z) z)) (* (+ (* y (* 3 x)) z) z))
6.0ms
x
@-inf
((- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* x 3) y) z) (neg z) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* y x) (* (* (* y (* 3 x)) y) x) (- (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) z) (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) (sqrt (* (* (* y (* 3 x)) y) x)) (/ (+ (* -27 (pow (* y x) 3)) (pow z 3)) (neg (+ (* (pow (* y x) 2) 9) (* (+ (* y (* 3 x)) z) z)))) (+ (* -27 (pow (* y x) 3)) (pow z 3)) (pow (* y x) 3) (* y (* 3 x)) (+ (* (pow (* y x) 2) 9) (* (+ (* y (* 3 x)) z) z)) (* (+ (* y (* 3 x)) z) z))
5.0ms
y
@inf
((- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* x 3) y) z) (neg z) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* y x) (* (* (* y (* 3 x)) y) x) (- (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) z) (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) (sqrt (* (* (* y (* 3 x)) y) x)) (/ (+ (* -27 (pow (* y x) 3)) (pow z 3)) (neg (+ (* (pow (* y x) 2) 9) (* (+ (* y (* 3 x)) z) z)))) (+ (* -27 (pow (* y x) 3)) (pow z 3)) (pow (* y x) 3) (* y (* 3 x)) (+ (* (pow (* y x) 2) 9) (* (+ (* y (* 3 x)) z) z)) (* (+ (* y (* 3 x)) z) z))

simplify151.0ms (1.8%)

Memory
-11.3MiB live, 143.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03451419
112911184
263011092
080591027
Stop Event
iter limit
node limit
Counts
87 → 86
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
z
(+ z (* -3 (* x y)))
(* x y)
(* 3 (* (pow x 2) (pow y 2)))
(- (* x (* y (pow (sqrt 3) 2))) z)
(* x (* y (pow (sqrt 3) 2)))
(* x (* y (sqrt 3)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))))
(+ (* -1 z) (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* -3 (/ (* x (* y (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z))))) z)) (* 9 (/ (pow y 2) z))))))))
(pow z 3)
(+ (* -27 (* (pow x 3) (pow y 3))) (pow z 3))
(* (pow x 3) (pow y 3))
(pow z 2)
(+ (* 3 (* x (* y z))) (pow z 2))
(+ (* x (+ (* 3 (* y z)) (* 9 (* x (pow y 2))))) (pow z 2))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (- (* -1 (/ z x)) (* -3 y)))
(* -3 (* x y))
(* x (+ (* -3 y) (/ z x)))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(* x (+ (* -1 (/ z x)) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))))
(* x (+ (* -1 (/ z x)) (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) (* (pow x 3) y))) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y))))))
(* -27 (* (pow x 3) (pow y 3)))
(* (pow x 3) (+ (* -27 (pow y 3)) (/ (pow z 3) (pow x 3))))
(* 9 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* 3 (/ (* y z) x)) (* 9 (pow y 2))))
(* (pow x 2) (+ (* 3 (/ (* y z) x)) (+ (* 9 (pow y 2)) (/ (pow z 2) (pow x 2)))))
(* 3 (* x (* y z)))
(* x (+ (* 3 (* y z)) (/ (pow z 2) x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (- (/ z x) (* 3 y))))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
(* -1 (* x (* y (pow (sqrt 3) 2))))
(* -1 (* x (+ (* y (pow (sqrt 3) 2)) (/ z x))))
(* -1 (* x (* y (sqrt 3))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y))) x))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) (* x y))) (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) x))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* 27 (pow y 3)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -3 (* y z)) (* -1 (/ (pow z 2) x))) x)) (* 9 (pow y 2))))
(* -1 (* x (+ (* -3 (* y z)) (* -1 (/ (pow z 2) x)))))
(* 3 y)
(+ (* -1 z) (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))))
(+ (* -1 z) (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* -3 (/ (* x (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z))))) z)) (* 9 (/ (pow x 2) z))))))))
(+ (* y (+ (* 3 (* x z)) (* 9 (* (pow x 2) y)))) (pow z 2))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (- (* -1 (/ z y)) (* -3 x)))
(* y (+ (* -3 x) (/ z y)))
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(* y (+ (* -1 (/ z y)) (+ (* -1/3 (/ (pow z 2) (* x (pow y 2)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))))
(* y (+ (* -1 (/ z y)) (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) (* x (pow y 3)))) (+ (* -1/3 (/ (pow z 2) (* x (pow y 2)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))))))
(* (pow y 3) (+ (* -27 (pow x 3)) (/ (pow z 3) (pow y 3))))
(* (pow y 2) (+ (* 3 (/ (* x z) y)) (* 9 (pow x 2))))
(* (pow y 2) (+ (* 3 (/ (* x z) y)) (+ (* 9 (pow x 2)) (/ (pow z 2) (pow y 2)))))
(* y (+ (* 3 (* x z)) (/ (pow z 2) y)))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (- (/ z y) (* 3 x))))
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x))))
(* -1 (* y (+ (* x (pow (sqrt 3) 2)) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x))) y))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) (* x y))) (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) y))) y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* 27 (pow x 3)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* x z)) (* -1 (/ (pow z 2) y))) y)) (* 9 (pow x 2))))
(* -1 (* y (+ (* -3 (* x z)) (* -1 (/ (pow z 2) y)))))
(- (* -1 z) (* -3 (* x y)))
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(+ (* 3 (* x (* y z))) (* 9 (* (pow x 2) (pow y 2))))
(+ (* 9 (* (pow x 2) (pow y 2))) (* z (+ z (* 3 (* x y)))))
(* z (+ z (* 3 (* x y))))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* -3 (/ (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))))) (pow z 3))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))) 1))
(* (pow z 3) (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))
(* (pow z 2) (+ 1 (* 3 (/ (* x y) z))))
(* (pow z 2) (+ 1 (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -3 (/ (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))
(* -1 (* (pow z 3) (- (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -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))
(* 3 (* x y))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
z
(+ z (* -3 (* x y)))
(fma.f64 #s(literal -3 binary64) (*.f64 x y) z)
(* x y)
(*.f64 x y)
(* 3 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) y) y)
(- (* x (* y (pow (sqrt 3) 2))) z)
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(* x (* y (pow (sqrt 3) 2)))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(* x (* y (sqrt 3)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) y) x)
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(+ (* -1 z) (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))))
(fma.f64 (fma.f64 #s(literal 0 binary64) x (*.f64 #s(literal 3 binary64) y)) x (neg.f64 z))
(+ (* -1 z) (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* -3 (/ (* x (* y (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z))))) z)) (* 9 (/ (pow y 2) z))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 x y)) z) #s(literal -3 binary64) #s(literal 0 binary64)) x (*.f64 #s(literal 3 binary64) y)) x (neg.f64 z))
(pow z 3)
(pow.f64 z #s(literal 3 binary64))
(+ (* -27 (* (pow x 3) (pow y 3))) (pow z 3))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 z #s(literal 3 binary64)))
(* (pow x 3) (pow y 3))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(pow z 2)
(*.f64 z z)
(+ (* 3 (* x (* y z))) (pow z 2))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)
(+ (* x (+ (* 3 (* y z)) (* 9 (* x (pow y 2))))) (pow z 2))
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64) (*.f64 (*.f64 z y) #s(literal 3 binary64))) x (*.f64 z z))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* x (- (* -1 (/ z x)) (* -3 y)))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* -3 (* x y))
(*.f64 #s(literal -3 binary64) (*.f64 x y))
(* x (+ (* -3 y) (/ z x)))
(*.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 z x)) x)
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* x (+ (* -1 (/ z x)) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) z) x) (*.f64 #s(literal 3 binary64) y)) x)
(* x (+ (* -1 (/ z x)) (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) (* (pow x 3) y))) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y))))))
(*.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z y) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) z) x) (*.f64 #s(literal 3 binary64) y))) x)
(* -27 (* (pow x 3) (pow y 3)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))
(* (pow x 3) (+ (* -27 (pow y 3)) (/ (pow z 3) (pow x 3))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* 9 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64)) x)
(* (pow x 2) (+ (* 3 (/ (* y z) x)) (* 9 (pow y 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 z x) y) #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 y y))) x) x)
(* (pow x 2) (+ (* 3 (/ (* y z) x)) (+ (* 9 (pow y 2)) (/ (pow z 2) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 9 binary64) y) y (/.f64 (fma.f64 (*.f64 z y) #s(literal 3 binary64) (*.f64 z (/.f64 z x))) x)) (*.f64 x x))
(* 3 (* x (* y z)))
(*.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64))
(* x (+ (* 3 (* y z)) (/ (pow z 2) x)))
(*.f64 (fma.f64 (*.f64 z y) #s(literal 3 binary64) (*.f64 z (/.f64 z x))) x)
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* -1 (* x (- (/ z x) (* 3 y))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z 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 (pow (sqrt 3) 2))))
(*.f64 #s(literal -3 binary64) (*.f64 x y))
(* -1 (* x (+ (* y (pow (sqrt 3) 2)) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 z x)))
(* -1 (* x (* y (sqrt 3))))
(*.f64 (*.f64 (neg.f64 x) y) (sqrt.f64 #s(literal 3 binary64)))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y))) x))) x)))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) z) x)))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) (* x y))) (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) x))) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) z #s(literal 0 binary64)) (neg.f64 x)) z) (neg.f64 x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* 27 (pow y 3)))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 z) x) #s(literal 3 binary64))))
(* (pow x 2) (+ (* -1 (/ (+ (* -3 (* y z)) (* -1 (/ (pow z 2) x))) x)) (* 9 (pow y 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9 binary64) y) y (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) z) y (/.f64 (*.f64 (neg.f64 z) z) x)) (neg.f64 x))) x) x)
(* -1 (* x (+ (* -3 (* y z)) (* -1 (/ (pow z 2) x)))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -3 binary64) z) y (/.f64 (*.f64 (neg.f64 z) z) x)))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(+ (* -1 z) (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))))
(fma.f64 (fma.f64 #s(literal 0 binary64) y (*.f64 #s(literal 3 binary64) x)) y (neg.f64 z))
(+ (* -1 z) (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* -3 (/ (* x (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z))))) z)) (* 9 (/ (pow x 2) z))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 x y)) z) #s(literal -3 binary64) #s(literal 0 binary64)) y (*.f64 #s(literal 3 binary64) x)) y (neg.f64 z))
(+ (* y (+ (* 3 (* x z)) (* 9 (* (pow x 2) y)))) (pow z 2))
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64) (*.f64 (*.f64 z y) #s(literal 3 binary64))) x (*.f64 z z))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(*.f64 (fma.f64 #s(literal 3 binary64) x (/.f64 (neg.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 (+ (* -3 x) (/ z y)))
(*.f64 (fma.f64 #s(literal -3 binary64) x (/.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)
(* y (+ (* -1 (/ z y)) (+ (* -1/3 (/ (pow z 2) (* x (pow y 2)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) z) y) (*.f64 #s(literal 3 binary64) x)) y)
(* y (+ (* -1 (/ z y)) (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) (* x (pow y 3)))) (+ (* -1/3 (/ (pow z 2) (* x (pow y 2)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))))))
(*.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) z) y) (*.f64 #s(literal 3 binary64) x))) y)
(* (pow y 3) (+ (* -27 (pow x 3)) (/ (pow z 3) (pow y 3))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 2) (+ (* 3 (/ (* x z) y)) (* 9 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 z y) x) #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))) y) y)
(* (pow y 2) (+ (* 3 (/ (* x z) y)) (+ (* 9 (pow x 2)) (/ (pow z 2) (pow y 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 9 binary64) x) x (/.f64 (fma.f64 (*.f64 z x) #s(literal 3 binary64) (/.f64 (*.f64 z z) y)) y)) (*.f64 y y))
(* y (+ (* 3 (* x z)) (/ (pow z 2) y)))
(*.f64 (fma.f64 (*.f64 z x) #s(literal 3 binary64) (/.f64 (*.f64 z z) y)) y)
(* -1 (* y (+ (* -3 x) (/ z y))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -3 binary64) x (/.f64 z y)))
(* -1 (* y (- (/ z y) (* 3 x))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -3 binary64) x (/.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 (pow (sqrt 3) 2)) (/ z y))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal 3 binary64) x (/.f64 z y)))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x))) y))) y)))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -3 binary64) x (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) z) (neg.f64 y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) (* x y))) (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) y))) y)))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -3 binary64) x (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) z #s(literal 0 binary64)) (neg.f64 y)) z) (neg.f64 y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* 27 (pow x 3)))))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 z) y) #s(literal 3 binary64))))
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* x z)) (* -1 (/ (pow z 2) y))) y)) (* 9 (pow x 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 9 binary64) x) x (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) z) x (/.f64 (*.f64 (neg.f64 z) z) y)) (neg.f64 y))) (*.f64 y y))
(* -1 (* y (+ (* -3 (* x z)) (* -1 (/ (pow z 2) y)))))
(*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -3 binary64) z) x (/.f64 (*.f64 (neg.f64 z) z) y)))
(- (* -1 z) (* -3 (* x y)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(+ (* 3 (* x (* y z))) (* 9 (* (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64) (*.f64 (*.f64 z y) #s(literal 3 binary64))) x)
(+ (* 9 (* (pow x 2) (pow y 2))) (* z (+ z (* 3 (* x y)))))
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64) (*.f64 (*.f64 z y) #s(literal 3 binary64))) x (*.f64 z z))
(* z (+ z (* 3 (* x y))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) z)
(* z (+ 1 (* -3 (/ (* x y) z))))
(*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64) #s(literal 1 binary64)) z)
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) z)
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y (/.f64 #s(literal 0 binary64) z)) z) #s(literal 1 binary64)) z)
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* -3 (/ (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))))) (pow z 3))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))) 1))
(*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal 0 binary64) y) (/.f64 x (pow.f64 z #s(literal 3 binary64)))) #s(literal -3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y (/.f64 #s(literal 0 binary64) z)) z)) #s(literal 1 binary64)) z)
(* (pow z 3) (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))
(fma.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 x y) z)) #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 z #s(literal 3 binary64)))
(* (pow z 2) (+ 1 (* 3 (/ (* x y) z))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64) #s(literal 1 binary64)) z) z)
(* (pow z 2) (+ 1 (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) (/.f64 (*.f64 y y) z) (*.f64 #s(literal -3 binary64) (*.f64 x y))) z)) (*.f64 z z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
(*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x) y (/.f64 #s(literal 0 binary64) z)) z) z z))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -3 (/ (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))
(neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 x y)) z) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 z))) (neg.f64 z)) z z))
(* -1 (* (pow z 3) (- (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal 1 binary64)))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) (/.f64 (*.f64 y y) z) (*.f64 #s(literal -3 binary64) (*.f64 x y))) z)) (*.f64 z z))

rewrite392.0ms (4.6%)

Memory
-6.0MiB live, 390.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036160
063125
1222125
21377119
09354119
Stop Event
iter limit
node limit
iter limit
Counts
18 → 2 257
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
(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)
(*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.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))))
(fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(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 y (*.f64 #s(literal 3 binary64) x) z) z)
Outputs
(*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) 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 (*.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 x #s(literal 3 binary64)) y z) z))))
(*.f64 (/.f64 (fma.f64 (*.f64 x y) #s(literal -3 binary64) z) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) 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 (*.f64 x #s(literal 3 binary64)) y z) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) z))))
(*.f64 (/.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 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 x y) #s(literal -3 binary64) z))
(*.f64 (/.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) z) #s(literal 3 binary64)))) (fma.f64 #s(literal 729 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) z) #s(literal 3 binary64))))) (fma.f64 (*.f64 x y) #s(literal -3 binary64) z))
(*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) z)) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) z)))) (/.f64 (fma.f64 (*.f64 x y) #s(literal -3 binary64) z) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)))
(*.f64 (/.f64 (fma.f64 (*.f64 x y) #s(literal -3 binary64) z) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) z)) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) z)))) (/.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)))
(*.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) 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 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (fma.f64 (*.f64 x y) #s(literal -3 binary64) z))))
(*.f64 (/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) z)) #s(literal 2 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) z)))
(*.f64 (/.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 729 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) z) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) #s(literal 81 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) z) (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) z)))))
(*.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) z)) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) z))) (fma.f64 (*.f64 x y) #s(literal -3 binary64) z))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) (/.f64 (*.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))) (*.f64 (/.f64 (*.f64 z z) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) (/.f64 (*.f64 z z) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)))) (+.f64 (/.f64 (*.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) (/.f64 (*.f64 z z) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))))
(/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) z)) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) z)) #s(literal 2 binary64)))) (fma.f64 (*.f64 x y) #s(literal -3 binary64) z))
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(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z))))))
(/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) z)) z) (fma.f64 (*.f64 x y) #s(literal -3 binary64) z))
(/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) z) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (fma.f64 (*.f64 x y) #s(literal -3 binary64) z))))
(/.f64 (*.f64 z (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) z))) (fma.f64 (*.f64 x y) #s(literal -3 binary64) 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 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (fma.f64 (*.f64 x y) #s(literal -3 binary64) z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) z) #s(literal 2 binary64))) (*.f64 z (fma.f64 (*.f64 x y) #s(literal -3 binary64) z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) z) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) z)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) z) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)))))
(neg.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) z))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z))
(fma.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z))
(fma.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 z)) (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z))
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z))
(fma.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y) x)) z) (*.f64 z z))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y) x)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) z) (*.f64 z z))
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z (*.f64 z z))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 y z) (*.f64 z z))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z))
(fma.f64 z (*.f64 (*.f64 x #s(literal 3 binary64)) y) (*.f64 z z))
(fma.f64 z z (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z))
(fma.f64 x (*.f64 (*.f64 #s(literal 3 binary64) y) z) (*.f64 z z))
(fma.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 x z) (*.f64 z z))
(fma.f64 y (*.f64 (*.f64 x #s(literal 3 binary64)) z) (*.f64 z z))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 z (fma.f64 (*.f64 x y) #s(literal -3 binary64) z))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) z) #s(literal 2 binary64)) (*.f64 z (fma.f64 (*.f64 x y) #s(literal -3 binary64) z))))
(-.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) z))))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) z) #s(literal 3 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) z))))))
(-.f64 (*.f64 z z) (*.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y)) z))
(-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) z))
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z))))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) z) #s(literal 3 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z))))))
(+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (*.f64 z z))
(+.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z))

eval156.0ms (1.9%)

Memory
9.9MiB live, 196.2MiB allocated
Compiler

Compiled 44 102 to 3 527 computations (92% saved)

prune21.0ms (0.2%)

Memory
-8.8MiB live, 53.2MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1 11031 113
Fresh000
Picked235
Done011
Total1 11271 119
Accuracy
100.0%
Counts
1 119 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.4%
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 (*.f64 x y) #s(literal 9 binary64))) (neg.f64 z))
16.5%
(/.f64 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.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))))
99.9%
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
99.8%
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
50.7%
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 #s(literal -3 binary64) (*.f64 x y))))
50.5%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 94 to 78 computations (17% saved)

simplify100.0ms (1.2%)

Memory
27.2MiB live, 56.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (*.f64 (*.f64 x y) #s(literal 9 binary64)))
cost-diff0
(*.f64 x y)
cost-diff0
(sqrt.f64 (*.f64 x y))
cost-diff0
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 (*.f64 x y) #s(literal 9 binary64))) (neg.f64 z))
cost-diff0
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
cost-diff0
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))
cost-diff0
#s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.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))))
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
035208
056208
1107208
2245208
3884208
42341208
54103208
64409208
74589208
85127208
96720208
108000208
08070204
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
(/.f64 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.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(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
x
y
#s(literal 3 binary64)
#s(literal -27 binary64)
(neg.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)))
(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 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
#s(literal 2 binary64)
#s(literal 9 binary64)
(*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(*.f64 #s(literal 3 binary64) x)
z
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 (*.f64 x y) #s(literal 9 binary64))) (neg.f64 z))
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
(sqrt.f64 (*.f64 (*.f64 x y) #s(literal 9 binary64)))
(*.f64 (*.f64 x y) #s(literal 9 binary64))
#s(literal 9 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 x #s(literal -3 binary64)) y)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 #s(literal -3 binary64) (*.f64 x y)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 x #s(literal -3 binary64)) y))
(*.f64 #s(literal -3 binary64) (*.f64 x y))
(*.f64 (*.f64 x #s(literal -3 binary64)) y)
#s(literal -3 binary64)
(*.f64 x y)
x
y
(/.f64 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.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 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 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))))
#s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
x
y
#s(literal 3 binary64)
#s(literal -27 binary64)
(neg.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)))
(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)))
(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))
(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 (*.f64 y x) #s(literal 2 binary64))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 y x)
(*.f64 x y)
#s(literal 2 binary64)
#s(literal 9 binary64)
(*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) 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)
z
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 (*.f64 x y) #s(literal 9 binary64))) (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 (*.f64 x y) #s(literal 9 binary64)))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)))
(*.f64 (*.f64 x y) #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) (*.f64 x y))
#s(literal 9 binary64)
(neg.f64 z)
z

localize143.0ms (1.7%)

Memory
-29.7MiB live, 74.0MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0390625
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 (*.f64 x y) #s(literal 9 binary64))) (neg.f64 z))
accuracy0.11166000976844202
(*.f64 (*.f64 x y) #s(literal 9 binary64))
accuracy6.730320266345741
(sqrt.f64 (*.f64 x y))
accuracy6.941232930205591
(sqrt.f64 (*.f64 (*.f64 x y) #s(literal 9 binary64)))
accuracy1.0195312500000002
(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))
accuracy1.2061779721591732
(*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)
accuracy14.059016430695603
#s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64)))
accuracy20.294112940570546
(/.f64 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.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))))
accuracy0.0
(*.f64 x y)
accuracy0.0
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 #s(literal -3 binary64) (*.f64 x y))))
accuracy0.12109375
(*.f64 #s(literal -3 binary64) (*.f64 x y))
accuracy16.94914262541458
#s(approx (+ (* -3 (* y x)) z) (*.f64 #s(literal -3 binary64) (*.f64 x y)))
Samples
51.0ms126×0invalid
30.0ms130×0valid
Compiler

Compiled 191 to 37 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 22.0ms (38.5% of total)
ival-pow: 12.0ms (21% of total)
ival-sqrt: 10.0ms (17.5% of total)
ival-add: 6.0ms (10.5% of total)
ival-neg: 3.0ms (5.2% of total)
ival-pow2: 3.0ms (5.2% of total)
ival-div: 2.0ms (3.5% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
3.9MiB live, 32.0MiB allocated
Counts
14 → 81
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)
(/.f64 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.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(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 (*.f64 x y) #s(literal 9 binary64))) (neg.f64 z))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 (*.f64 x y) #s(literal 9 binary64)))
(*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) 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 x y) #s(literal 9 binary64))
Outputs
(* -1 z)
(- (* 3 (* x y)) z)
z
(+ z (* -3 (* x y)))
(* -3 (* x y))
(* x y)
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))))
(+ (* -1 z) (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* -3 (/ (* x (* y (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z))))) z)) (* 9 (/ (pow y 2) z))))))))
(pow z 3)
(+ (* -27 (* (pow x 3) (pow y 3))) (pow z 3))
(* -27 (* (pow x 3) (pow y 3)))
(* (pow x 3) (pow y 3))
(sqrt (* x y))
(* 3 (sqrt (* x y)))
(pow z 2)
(+ (* 3 (* x (* y z))) (pow z 2))
(+ (* x (+ (* 3 (* y z)) (* 9 (* x (pow y 2))))) (pow z 2))
(* 9 (* x y))
(* 3 (* x y))
(* x (- (* -1 (/ z x)) (* -3 y)))
(* x (+ (* -3 y) (/ z x)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))))
(* x (+ (* -1 (/ z x)) (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) (* (pow x 3) y))) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y))))))
(* (pow x 3) (+ (* -27 (pow y 3)) (/ (pow z 3) (pow x 3))))
(* 3 (* x (* y z)))
(* x (+ (* 3 (* y z)) (/ (pow z 2) x)))
(* 9 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* 3 (/ (* y z) x)) (* 9 (pow y 2))))
(* (pow x 2) (+ (* 3 (/ (* y z) x)) (+ (* 9 (pow y 2)) (/ (pow z 2) (pow x 2)))))
(* -1 (* x (- (/ z x) (* 3 y))))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y))) x))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) (* x y))) (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) x))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* 27 (pow y 3)))))
(* -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)) (* -1 (/ (pow z 2) x)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -3 (* y z)) (* -1 (/ (pow z 2) x))) x)) (* 9 (pow y 2))))
(+ (* -1 z) (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))))
(+ (* -1 z) (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* -3 (/ (* x (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z))))) z)) (* 9 (/ (pow x 2) z))))))))
(+ (* y (+ (* 3 (* x z)) (* 9 (* (pow x 2) y)))) (pow z 2))
(* y (- (* -1 (/ z y)) (* -3 x)))
(* y (+ (* -3 x) (/ z y)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (+ (* -1/3 (/ (pow z 2) (* x (pow y 2)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))))
(* y (+ (* -1 (/ z y)) (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) (* x (pow y 3)))) (+ (* -1/3 (/ (pow z 2) (* x (pow y 2)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))))))
(* (pow y 3) (+ (* -27 (pow x 3)) (/ (pow z 3) (pow y 3))))
(* y (+ (* 3 (* x z)) (/ (pow z 2) y)))
(* (pow y 2) (+ (* 3 (/ (* x z) y)) (* 9 (pow x 2))))
(* (pow y 2) (+ (* 3 (/ (* x z) y)) (+ (* 9 (pow x 2)) (/ (pow z 2) (pow y 2)))))
(* -1 (* y (- (/ z y) (* 3 x))))
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x))) y))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) (* x y))) (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) y))) y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* 27 (pow x 3)))))
(* -1 (* y (+ (* x (* (sqrt -9) (sqrt -1))) (/ z y))))
(* -1 (* y (+ (* -3 (* x z)) (* -1 (/ (pow z 2) y)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* x z)) (* -1 (/ (pow z 2) y))) y)) (* 9 (pow x 2))))
(- (* -1 z) (* -3 (* x y)))
(* z (+ z (* 3 (* x y))))
(+ (* 3 (* x (* y z))) (* 9 (* (pow x 2) (pow y 2))))
(+ (* 9 (* (pow x 2) (pow y 2))) (* z (+ z (* 3 (* x y)))))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* -3 (/ (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))))) (pow z 3))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))) 1))
(* (pow z 3) (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))
(* (pow z 2) (+ 1 (* 3 (/ (* x y) z))))
(* (pow z 2) (+ 1 (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -3 (/ (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))
(* -1 (* (pow z 3) (- (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z))))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
y
@-inf
((neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* -3 (* x y)) (* x y) (/ (+ (* -27 (pow (* y x) 3)) (pow z 3)) (neg (+ (* (pow (* y x) 2) 9) (* (+ (* y (* 3 x)) z) z)))) (+ (* -27 (pow (* y x) 3)) (pow z 3)) (* (pow (* x y) 3) -27) (pow (* x y) 3) (+ (* (sqrt (* x y)) (sqrt (* (* x y) 9))) (neg z)) (sqrt (* x y)) (sqrt (* (* x y) 9)) (* (+ (* y (* 3 x)) z) z) (+ (* (pow (* y x) 2) 9) (* (+ (* y (* 3 x)) z) z)) (* (* x y) 9))
4.0ms
x
@-inf
((neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* -3 (* x y)) (* x y) (/ (+ (* -27 (pow (* y x) 3)) (pow z 3)) (neg (+ (* (pow (* y x) 2) 9) (* (+ (* y (* 3 x)) z) z)))) (+ (* -27 (pow (* y x) 3)) (pow z 3)) (* (pow (* x y) 3) -27) (pow (* x y) 3) (+ (* (sqrt (* x y)) (sqrt (* (* x y) 9))) (neg z)) (sqrt (* x y)) (sqrt (* (* x y) 9)) (* (+ (* y (* 3 x)) z) z) (+ (* (pow (* y x) 2) 9) (* (+ (* y (* 3 x)) z) z)) (* (* x y) 9))
2.0ms
x
@0
((neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* -3 (* x y)) (* x y) (/ (+ (* -27 (pow (* y x) 3)) (pow z 3)) (neg (+ (* (pow (* y x) 2) 9) (* (+ (* y (* 3 x)) z) z)))) (+ (* -27 (pow (* y x) 3)) (pow z 3)) (* (pow (* x y) 3) -27) (pow (* x y) 3) (+ (* (sqrt (* x y)) (sqrt (* (* x y) 9))) (neg z)) (sqrt (* x y)) (sqrt (* (* x y) 9)) (* (+ (* y (* 3 x)) z) z) (+ (* (pow (* y x) 2) 9) (* (+ (* y (* 3 x)) z) z)) (* (* x y) 9))
2.0ms
x
@inf
((neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* -3 (* x y)) (* x y) (/ (+ (* -27 (pow (* y x) 3)) (pow z 3)) (neg (+ (* (pow (* y x) 2) 9) (* (+ (* y (* 3 x)) z) z)))) (+ (* -27 (pow (* y x) 3)) (pow z 3)) (* (pow (* x y) 3) -27) (pow (* x y) 3) (+ (* (sqrt (* x y)) (sqrt (* (* x y) 9))) (neg z)) (sqrt (* x y)) (sqrt (* (* x y) 9)) (* (+ (* y (* 3 x)) z) z) (+ (* (pow (* y x) 2) 9) (* (+ (* y (* 3 x)) z) z)) (* (* x y) 9))
2.0ms
y
@inf
((neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* -3 (* x y)) (* x y) (/ (+ (* -27 (pow (* y x) 3)) (pow z 3)) (neg (+ (* (pow (* y x) 2) 9) (* (+ (* y (* 3 x)) z) z)))) (+ (* -27 (pow (* y x) 3)) (pow z 3)) (* (pow (* x y) 3) -27) (pow (* x y) 3) (+ (* (sqrt (* x y)) (sqrt (* (* x y) 9))) (neg z)) (sqrt (* x y)) (sqrt (* (* x y) 9)) (* (+ (* y (* 3 x)) z) z) (+ (* (pow (* y x) 2) 9) (* (+ (* y (* 3 x)) z) z)) (* (* x y) 9))

simplify206.0ms (2.4%)

Memory
17.7MiB live, 212.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03371375
112601142
261451048
08096989
Stop Event
iter limit
node limit
Counts
81 → 80
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
z
(+ z (* -3 (* x y)))
(* -3 (* x y))
(* x y)
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))))
(+ (* -1 z) (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* -3 (/ (* x (* y (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z))))) z)) (* 9 (/ (pow y 2) z))))))))
(pow z 3)
(+ (* -27 (* (pow x 3) (pow y 3))) (pow z 3))
(* -27 (* (pow x 3) (pow y 3)))
(* (pow x 3) (pow y 3))
(sqrt (* x y))
(* 3 (sqrt (* x y)))
(pow z 2)
(+ (* 3 (* x (* y z))) (pow z 2))
(+ (* x (+ (* 3 (* y z)) (* 9 (* x (pow y 2))))) (pow z 2))
(* 9 (* x y))
(* 3 (* x y))
(* x (- (* -1 (/ z x)) (* -3 y)))
(* x (+ (* -3 y) (/ z x)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))))
(* x (+ (* -1 (/ z x)) (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) (* (pow x 3) y))) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y))))))
(* (pow x 3) (+ (* -27 (pow y 3)) (/ (pow z 3) (pow x 3))))
(* 3 (* x (* y z)))
(* x (+ (* 3 (* y z)) (/ (pow z 2) x)))
(* 9 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* 3 (/ (* y z) x)) (* 9 (pow y 2))))
(* (pow x 2) (+ (* 3 (/ (* y z) x)) (+ (* 9 (pow y 2)) (/ (pow z 2) (pow x 2)))))
(* -1 (* x (- (/ z x) (* 3 y))))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y))) x))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) (* x y))) (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) x))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* 27 (pow y 3)))))
(* -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)) (* -1 (/ (pow z 2) x)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -3 (* y z)) (* -1 (/ (pow z 2) x))) x)) (* 9 (pow y 2))))
(+ (* -1 z) (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))))
(+ (* -1 z) (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* -3 (/ (* x (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z))))) z)) (* 9 (/ (pow x 2) z))))))))
(+ (* y (+ (* 3 (* x z)) (* 9 (* (pow x 2) y)))) (pow z 2))
(* y (- (* -1 (/ z y)) (* -3 x)))
(* y (+ (* -3 x) (/ z y)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (+ (* -1/3 (/ (pow z 2) (* x (pow y 2)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))))
(* y (+ (* -1 (/ z y)) (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) (* x (pow y 3)))) (+ (* -1/3 (/ (pow z 2) (* x (pow y 2)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))))))
(* (pow y 3) (+ (* -27 (pow x 3)) (/ (pow z 3) (pow y 3))))
(* y (+ (* 3 (* x z)) (/ (pow z 2) y)))
(* (pow y 2) (+ (* 3 (/ (* x z) y)) (* 9 (pow x 2))))
(* (pow y 2) (+ (* 3 (/ (* x z) y)) (+ (* 9 (pow x 2)) (/ (pow z 2) (pow y 2)))))
(* -1 (* y (- (/ z y) (* 3 x))))
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x))) y))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) (* x y))) (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) y))) y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* 27 (pow x 3)))))
(* -1 (* y (+ (* x (* (sqrt -9) (sqrt -1))) (/ z y))))
(* -1 (* y (+ (* -3 (* x z)) (* -1 (/ (pow z 2) y)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* x z)) (* -1 (/ (pow z 2) y))) y)) (* 9 (pow x 2))))
(- (* -1 z) (* -3 (* x y)))
(* z (+ z (* 3 (* x y))))
(+ (* 3 (* x (* y z))) (* 9 (* (pow x 2) (pow y 2))))
(+ (* 9 (* (pow x 2) (pow y 2))) (* z (+ z (* 3 (* x y)))))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* -3 (/ (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))))) (pow z 3))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))) 1))
(* (pow z 3) (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))
(* (pow z 2) (+ 1 (* 3 (/ (* x y) z))))
(* (pow z 2) (+ 1 (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -3 (/ (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))
(* -1 (* (pow z 3) (- (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -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 #s(literal -3 binary64)) y z)
(* -3 (* x y))
(*.f64 (*.f64 x #s(literal -3 binary64)) y)
(* x y)
(*.f64 x y)
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(+ (* -1 z) (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))))
(fma.f64 (fma.f64 #s(literal 0 binary64) x (*.f64 #s(literal 3 binary64) y)) x (neg.f64 z))
(+ (* -1 z) (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* -3 (/ (* x (* y (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z))))) z)) (* 9 (/ (pow y 2) z))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y (/.f64 #s(literal 0 binary64) z)) #s(literal 0 binary64)) x (*.f64 #s(literal 3 binary64) y)) x (neg.f64 z))
(pow z 3)
(pow.f64 z #s(literal 3 binary64))
(+ (* -27 (* (pow x 3) (pow y 3))) (pow z 3))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 z #s(literal 3 binary64)))
(* -27 (* (pow x 3) (pow y 3)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))
(* (pow x 3) (pow y 3))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(sqrt (* x y))
(sqrt.f64 (*.f64 x y))
(* 3 (sqrt (* x y)))
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow z 2)
(*.f64 z z)
(+ (* 3 (* x (* y z))) (pow z 2))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)
(+ (* x (+ (* 3 (* y z)) (* 9 (* x (pow y 2))))) (pow z 2))
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64) (*.f64 (*.f64 z y) #s(literal 3 binary64))) x (*.f64 z z))
(* 9 (* x y))
(*.f64 #s(literal 9 binary64) (*.f64 x y))
(* 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)) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) z) x) (*.f64 #s(literal 3 binary64) y)) x)
(* x (+ (* -1 (/ z x)) (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) (* (pow x 3) y))) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y))))))
(*.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z y) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) z) x) (*.f64 #s(literal 3 binary64) y))) x)
(* (pow x 3) (+ (* -27 (pow y 3)) (/ (pow z 3) (pow x 3))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* 3 (* x (* y z)))
(*.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64))
(* x (+ (* 3 (* y z)) (/ (pow z 2) x)))
(*.f64 (fma.f64 (*.f64 z y) #s(literal 3 binary64) (*.f64 z (/.f64 z x))) x)
(* 9 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 9 binary64))
(* (pow x 2) (+ (* 3 (/ (* y z) x)) (* 9 (pow y 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 z x) y) #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 y y))) x) x)
(* (pow x 2) (+ (* 3 (/ (* y z) x)) (+ (* 9 (pow y 2)) (/ (pow z 2) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 9 binary64) y) y (/.f64 (fma.f64 (*.f64 z y) #s(literal 3 binary64) (*.f64 z (/.f64 z x))) x)) (*.f64 x x))
(* -1 (* x (- (/ z x) (* 3 y))))
(*.f64 (neg.f64 x) (fma.f64 y #s(literal -3 binary64) (/.f64 z 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 (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 y #s(literal -3 binary64) (/.f64 z x)))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y))) x))) x)))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) z) x)))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) (* x y))) (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) x))) x)))))
(*.f64 (neg.f64 x) (fma.f64 y #s(literal -3 binary64) (/.f64 (-.f64 (neg.f64 z) (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 z y) #s(literal 0 binary64)) x)) (neg.f64 x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* 27 (pow y 3)))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 z) x) #s(literal 3 binary64))))
(* -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)) (* -1 (/ (pow z 2) x)))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -3 binary64) z) y (/.f64 (*.f64 (neg.f64 z) z) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -3 (* y z)) (* -1 (/ (pow z 2) x))) x)) (* 9 (pow y 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9 binary64) y) y (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) z) y (/.f64 (*.f64 (neg.f64 z) z) x)) (neg.f64 x))) x) x)
(+ (* -1 z) (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))))
(fma.f64 (fma.f64 #s(literal 0 binary64) y (*.f64 #s(literal 3 binary64) x)) y (neg.f64 z))
(+ (* -1 z) (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* -3 (/ (* x (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z))))) z)) (* 9 (/ (pow x 2) z))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y (/.f64 #s(literal 0 binary64) z)) #s(literal 0 binary64)) y (*.f64 #s(literal 3 binary64) x)) y (neg.f64 z))
(+ (* y (+ (* 3 (* x z)) (* 9 (* (pow x 2) y)))) (pow z 2))
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64) (*.f64 (*.f64 z y) #s(literal 3 binary64))) x (*.f64 z z))
(* 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)) (+ (* -1/3 (/ (pow z 2) (* x (pow y 2)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) z) y) (*.f64 #s(literal 3 binary64) x)) y)
(* y (+ (* -1 (/ z y)) (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) (* x (pow y 3)))) (+ (* -1/3 (/ (pow z 2) (* x (pow y 2)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))))))
(*.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) z) y) (*.f64 #s(literal 3 binary64) x))) y)
(* (pow y 3) (+ (* -27 (pow x 3)) (/ (pow z 3) (pow y 3))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* y (+ (* 3 (* x z)) (/ (pow z 2) y)))
(*.f64 (fma.f64 (*.f64 z x) #s(literal 3 binary64) (/.f64 (*.f64 z z) y)) y)
(* (pow y 2) (+ (* 3 (/ (* x z) y)) (* 9 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 z y) x) #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64))) y) y)
(* (pow y 2) (+ (* 3 (/ (* x z) y)) (+ (* 9 (pow x 2)) (/ (pow z 2) (pow y 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 9 binary64) x) x (/.f64 (fma.f64 (*.f64 z x) #s(literal 3 binary64) (/.f64 (*.f64 z z) y)) y)) (*.f64 y y))
(* -1 (* y (- (/ z y) (* 3 x))))
(*.f64 (fma.f64 #s(literal 3 binary64) x (/.f64 (neg.f64 z) y)) 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 (+ (* -3 x) (/ z y))))
(*.f64 (fma.f64 #s(literal 3 binary64) x (/.f64 (neg.f64 z) y)) y)
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x))) y))) y)))))
(*.f64 (neg.f64 y) (fma.f64 x #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) z) (neg.f64 y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) (* x y))) (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) y))) y)))))
(*.f64 (neg.f64 y) (fma.f64 x #s(literal -3 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 z y) #s(literal 0 binary64)) y) z)) y)))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* 27 (pow x 3)))))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 z) y) #s(literal 3 binary64))))
(* -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)) (* -1 (/ (pow z 2) y)))))
(*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -3 binary64) z) x (/.f64 (*.f64 (neg.f64 z) z) y)))
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* x z)) (* -1 (/ (pow z 2) y))) y)) (* 9 (pow x 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 9 binary64) x) x (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) z) x (/.f64 (*.f64 (neg.f64 z) z) y)) (neg.f64 y))) (*.f64 y y))
(- (* -1 z) (* -3 (* x y)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(* z (+ z (* 3 (* x y))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)
(+ (* 3 (* x (* y z))) (* 9 (* (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64) (*.f64 (*.f64 z y) #s(literal 3 binary64))) x)
(+ (* 9 (* (pow x 2) (pow y 2))) (* z (+ z (* 3 (* x y)))))
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64) (*.f64 (*.f64 z y) #s(literal 3 binary64))) x (*.f64 z z))
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) z)
(* z (+ 1 (* -3 (/ (* x y) z))))
(*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64) #s(literal 1 binary64)) z)
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y (/.f64 #s(literal 0 binary64) z)) z) #s(literal 1 binary64)) z)
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* -3 (/ (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))))) (pow z 3))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))) 1))
(*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal 0 binary64) y) (/.f64 x (pow.f64 z #s(literal 3 binary64)))) #s(literal -3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y (/.f64 #s(literal 0 binary64) z)) z)) #s(literal 1 binary64)) z)
(* (pow z 3) (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))
(fma.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 x y) z)) #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 z #s(literal 3 binary64)))
(* (pow z 2) (+ 1 (* 3 (/ (* x y) z))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64) #s(literal 1 binary64)) z) z)
(* (pow z 2) (+ 1 (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal -3 binary64)) y (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) z) #s(literal -9 binary64))) z)) z) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y (/.f64 #s(literal 0 binary64) z)) z)) (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -3 (/ (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y (/.f64 (fma.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y (/.f64 #s(literal 0 binary64) z)) #s(literal 0 binary64)) (neg.f64 z))) z)) (neg.f64 z))
(* -1 (* (pow z 3) (- (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal 1 binary64)))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal -3 binary64)) y (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) z) #s(literal -9 binary64))) z)) z) z)

rewrite190.0ms (2.3%)

Memory
-17.8MiB live, 208.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035153
056153
1202148
21259146
09132141
Stop Event
iter limit
node limit
iter limit
Counts
14 → 719
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)
(/.f64 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.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(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 (*.f64 x y) #s(literal 9 binary64))) (neg.f64 z))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 (*.f64 x y) #s(literal 9 binary64)))
(*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) 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 x y) #s(literal 9 binary64))
Outputs
(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 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) x))) (sqrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 y (*.f64 #s(literal 9 binary64) (*.f64 x y)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) x)) (neg.f64 (sqrt.f64 y)))
(*.f64 (neg.f64 y) (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)) (sqrt.f64 (*.f64 x y)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 3 binary64)))
(*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 9 binary64) (*.f64 x y))))))
(*.f64 (*.f64 x #s(literal -3 binary64)) y)
(*.f64 (*.f64 y #s(literal -3 binary64)) x)
(*.f64 (*.f64 #s(literal 3 binary64) y) (neg.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) x) (neg.f64 y))
(*.f64 #s(literal 3 binary64) (*.f64 (neg.f64 x) 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))
(neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(*.f64 (fabs.f64 x) (fabs.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 x))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64)))
(*.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 y)
(*.f64 y x)
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) y))
(fabs.f64 (*.f64 x y))
(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)))
(exp.f64 (log.f64 (*.f64 x y)))
(+.f64 (cosh.f64 (log.f64 (*.f64 x y))) (sinh.f64 (log.f64 (*.f64 x y))))
(*.f64 (neg.f64 (/.f64 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) #s(literal 81 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z) #s(literal 2 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 (/.f64 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 #s(literal -729 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z) #s(literal 3 binary64))))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) #s(literal 81 binary64) (*.f64 (*.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 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) #s(literal 81 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z) #s(literal 2 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 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 #s(literal -729 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) #s(literal 81 binary64) (*.f64 (*.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 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 #s(literal -729 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) #s(literal 81 binary64) (*.f64 (*.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)))))
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(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) #s(literal 81 binary64) (*.f64 (*.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 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) #s(literal 81 binary64) (*.f64 (*.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 #s(literal 3 binary64) x) y) #s(literal 4 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 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z) #s(literal 2 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 #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 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z) (*.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(+.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z) (*.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(+.f64 (*.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 (fabs.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 3 binary64))) (fabs.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 9 binary64) x) y)
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)))
(*.f64 (*.f64 #s(literal 9 binary64) y) x)
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 3 binary64)))
(*.f64 #s(literal 9 binary64) (*.f64 x y))
(*.f64 (*.f64 x y) #s(literal 9 binary64))
(*.f64 x (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) (*.f64 (sqrt.f64 y) #s(literal 3 binary64))))
(*.f64 x (*.f64 #s(literal 9 binary64) y))
(*.f64 y (*.f64 x #s(literal 9 binary64)))
(pow.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (*.f64 #s(literal 9 binary64) (*.f64 x y))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 3 binary64)) #s(literal 2 binary64))
(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)))

eval333.0ms (4%)

Memory
14.5MiB live, 166.5MiB allocated
Compiler

Compiled 31 363 to 3 144 computations (90% saved)

prune19.0ms (0.2%)

Memory
2.1MiB live, 63.2MiB allocated
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New8475852
Fresh000
Picked303
Done134
Total8518859
Accuracy
100.0%
Counts
859 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.9%
(/.f64 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x y) x) (*.f64 #s(literal 9 binary64) y) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))))
99.9%
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
99.8%
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
24.5%
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)) (sqrt.f64 (*.f64 x y)))))
50.8%
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x)))
50.8%
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 x #s(literal -3 binary64)) y)))
50.5%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
50.7%
#s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
Compiler

Compiled 224 to 173 computations (22.8% saved)

simplify100.0ms (1.2%)

Memory
-2.9MiB live, 67.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))
cost-diff0
#s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x y) x) (*.f64 #s(literal 9 binary64) y) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))))
cost-diff2
(fma.f64 (*.f64 (*.f64 x y) x) (*.f64 #s(literal 9 binary64) y) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64))
cost-diff0
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)) (sqrt.f64 (*.f64 x y))))
cost-diff0
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)) (sqrt.f64 (*.f64 x y)))))
cost-diff6
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)) (sqrt.f64 (*.f64 x y)))
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 (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042305
066287
1127287
2286287
31012287
42671285
54604285
65822285
76984285
08312272
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(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
#s(approx (neg (+ (* -3 (* y x)) 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 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)) (sqrt.f64 (*.f64 x y)))))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)) (sqrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)) (sqrt.f64 (*.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64))
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
#s(literal -3 binary64)
(/.f64 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x y) x) (*.f64 #s(literal 9 binary64) y) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))))
#s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
x
y
#s(literal 3 binary64)
#s(literal -27 binary64)
(neg.f64 (fma.f64 (*.f64 (*.f64 x y) x) (*.f64 #s(literal 9 binary64) y) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)))
(fma.f64 (*.f64 (*.f64 x y) x) (*.f64 #s(literal 9 binary64) y) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))
(*.f64 (*.f64 x y) x)
(*.f64 #s(literal 9 binary64) y)
#s(literal 9 binary64)
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)
(fma.f64 (*.f64 #s(literal 3 binary64) x) y z)
(*.f64 #s(literal 3 binary64) x)
z
Outputs
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x)))
(neg.f64 #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))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 x #s(literal -3 binary64)) y))
(*.f64 (*.f64 y #s(literal -3 binary64)) x)
(*.f64 (*.f64 x #s(literal -3 binary64)) y)
(*.f64 y #s(literal -3 binary64))
y
#s(literal -3 binary64)
x
#s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
#s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.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 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)) (sqrt.f64 (*.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 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)) (sqrt.f64 (*.f64 x y))))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 x #s(literal -3 binary64)) y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)) (sqrt.f64 (*.f64 x y)))
(*.f64 (*.f64 x #s(literal -3 binary64)) y)
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64))
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
#s(literal -3 binary64)
(/.f64 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x y) x) (*.f64 #s(literal 9 binary64) y) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))))
(/.f64 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 #s(literal -9 binary64) x) y (*.f64 z #s(literal -3 binary64))) (*.f64 (neg.f64 z) z)))
#s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
x
y
#s(literal 3 binary64)
#s(literal -27 binary64)
(neg.f64 (fma.f64 (*.f64 (*.f64 x y) x) (*.f64 #s(literal 9 binary64) y) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)))
(fma.f64 (*.f64 x y) (fma.f64 (*.f64 #s(literal -9 binary64) x) y (*.f64 z #s(literal -3 binary64))) (*.f64 (neg.f64 z) z))
(fma.f64 (*.f64 (*.f64 x y) x) (*.f64 #s(literal 9 binary64) y) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))
(fma.f64 (*.f64 x y) (fma.f64 (*.f64 #s(literal 9 binary64) x) y (*.f64 #s(literal 3 binary64) z)) (*.f64 z z))
(*.f64 (*.f64 x y) x)
(*.f64 #s(literal 9 binary64) y)
#s(literal 9 binary64)
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)
(fma.f64 (*.f64 #s(literal 3 binary64) x) y z)
(*.f64 #s(literal 3 binary64) x)
z

localize99.0ms (1.2%)

Memory
-7.1MiB live, 89.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy1.2061779721591732
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)
accuracy1.9412605623486296
(fma.f64 (*.f64 (*.f64 x y) x) (*.f64 #s(literal 9 binary64) y) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))
accuracy14.059016430695603
#s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64)))
accuracy20.294112940570546
(/.f64 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x y) x) (*.f64 #s(literal 9 binary64) y) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))))
accuracy0.12109375
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)) (sqrt.f64 (*.f64 x y)))
accuracy0.12890625
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64))
accuracy6.730320266345741
(sqrt.f64 (*.f64 x y))
accuracy16.94914262541458
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)) (sqrt.f64 (*.f64 x y))))
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)))
accuracy0.08984375
(*.f64 (*.f64 x #s(literal -3 binary64)) y)
accuracy16.94914262541458
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 x #s(literal -3 binary64)) y))
accuracy0.0
(*.f64 x y)
accuracy0.12109375
(*.f64 (*.f64 x y) #s(literal 3 binary64))
accuracy16.94914262541458
#s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
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)))
accuracy0.06640625
(*.f64 (*.f64 y #s(literal -3 binary64)) x)
accuracy16.94914262541458
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 y #s(literal -3 binary64)) x))
Samples
33.0ms130×0valid
33.0ms126×0invalid
Compiler

Compiled 245 to 38 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 25.0ms (52.3% of total)
ival-pow: 12.0ms (25.1% of total)
ival-add: 4.0ms (8.4% of total)
ival-div: 2.0ms (4.2% of total)
ival-sqrt: 2.0ms (4.2% of total)
ival-neg: 2.0ms (4.2% of total)
exact: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
15.7MiB live, 15.7MiB allocated
Counts
21 → 79
Calls
Call 1
Inputs
(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))
#s(approx (neg (+ (* -3 (* y x)) 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))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)) (sqrt.f64 (*.f64 x y)))
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)) (sqrt.f64 (*.f64 x y)))))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)) (sqrt.f64 (*.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64))
(fma.f64 (*.f64 (*.f64 x y) x) (*.f64 #s(literal 9 binary64) y) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))
(/.f64 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x y) x) (*.f64 #s(literal 9 binary64) y) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))))
#s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))
(sqrt.f64 (*.f64 x y))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)
Outputs
(* -1 z)
(- (* 3 (* x y)) z)
z
(+ z (* -3 (* x y)))
(* -3 (* x y))
(* 3 (* x y))
(* x y)
(* -3 x)
(* -3 (sqrt (* x y)))
(pow z 2)
(+ (* 3 (* x (* y z))) (pow z 2))
(+ (* x (+ (* 3 (* y z)) (* 9 (* x (pow y 2))))) (pow z 2))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))))
(+ (* -1 z) (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* -3 (/ (* x (* y (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z))))) z)) (* 9 (/ (pow y 2) z))))))))
(pow z 3)
(+ (* -27 (* (pow x 3) (pow y 3))) (pow z 3))
(* -27 (* (pow x 3) (pow y 3)))
(sqrt (* x y))
(* x (- (* -1 (/ z x)) (* -3 y)))
(* x (+ (* -3 y) (/ z x)))
(* 9 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* 3 (/ (* y z) x)) (* 9 (pow y 2))))
(* (pow x 2) (+ (* 3 (/ (* y z) x)) (+ (* 9 (pow y 2)) (/ (pow z 2) (pow x 2)))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))))
(* x (+ (* -1 (/ z x)) (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) (* (pow x 3) y))) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y))))))
(* (pow x 3) (+ (* -27 (pow y 3)) (/ (pow z 3) (pow x 3))))
(* 3 (* x (* y z)))
(* x (+ (* 3 (* y z)) (/ (pow z 2) x)))
(* -1 (* x (- (/ z x) (* 3 y))))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
(* 3 (* x (* y (pow (sqrt -1) 2))))
(* 3 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -1 (/ (+ (* -3 (* y z)) (* -1 (/ (pow z 2) x))) x)) (* 9 (pow y 2))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y))) x))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) (* x y))) (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) x))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* 27 (pow y 3)))))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -3 (* y z)) (* -1 (/ (pow z 2) x)))))
(* -3 y)
(+ (* y (+ (* 3 (* x z)) (* 9 (* (pow x 2) y)))) (pow z 2))
(+ (* -1 z) (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))))
(+ (* -1 z) (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* -3 (/ (* x (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z))))) z)) (* 9 (/ (pow x 2) z))))))))
(* y (- (* -1 (/ z y)) (* -3 x)))
(* y (+ (* -3 x) (/ z y)))
(* (pow y 2) (+ (* 3 (/ (* x z) y)) (* 9 (pow x 2))))
(* (pow y 2) (+ (* 3 (/ (* x z) y)) (+ (* 9 (pow x 2)) (/ (pow z 2) (pow y 2)))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (+ (* -1/3 (/ (pow z 2) (* x (pow y 2)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))))
(* y (+ (* -1 (/ z y)) (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) (* x (pow y 3)))) (+ (* -1/3 (/ (pow z 2) (* x (pow y 2)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))))))
(* (pow y 3) (+ (* -27 (pow x 3)) (/ (pow z 3) (pow y 3))))
(* y (+ (* 3 (* x z)) (/ (pow z 2) y)))
(* -1 (* y (- (/ z y) (* 3 x))))
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x))))
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* x z)) (* -1 (/ (pow z 2) y))) y)) (* 9 (pow x 2))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x))) y))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) (* x y))) (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) y))) y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* 27 (pow x 3)))))
(* -1 (* y (+ (* -3 (* x z)) (* -1 (/ (pow z 2) y)))))
(- (* -1 z) (* -3 (* x y)))
(+ (* 3 (* x (* y z))) (* 9 (* (pow x 2) (pow y 2))))
(+ (* 9 (* (pow x 2) (pow y 2))) (* z (+ z (* 3 (* x y)))))
(* z (+ z (* 3 (* x y))))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (+ 1 (* -3 (/ (* x y) z))))
(* (pow z 2) (+ 1 (* 3 (/ (* x y) z))))
(* (pow z 2) (+ 1 (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))))
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* -3 (/ (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))))) (pow z 3))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))) 1))
(* (pow z 3) (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -3 (/ (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))
(* -1 (* (pow z 3) (- (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
y
@-inf
((neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (* y -3) x) (* y -3) (neg (+ (* -3 (* y x)) z)) (* (* x y) 3) (* x y) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (* x -3) y) (* x -3) (* (* (sqrt (* x y)) -3) (sqrt (* x y))) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (sqrt (* x y)) -3) (+ (* (* (* x y) x) (* 9 y)) (* (+ (* (* 3 x) y) z) z)) (/ (+ (* -27 (pow (* y x) 3)) (pow z 3)) (neg (+ (* (* (* x y) x) (* 9 y)) (* (+ (* (* 3 x) y) z) z)))) (+ (* -27 (pow (* y x) 3)) (pow z 3)) (* (pow (* x y) 3) -27) (sqrt (* x y)) (* (+ (* (* 3 x) y) z) z))
4.0ms
x
@-inf
((neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (* y -3) x) (* y -3) (neg (+ (* -3 (* y x)) z)) (* (* x y) 3) (* x y) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (* x -3) y) (* x -3) (* (* (sqrt (* x y)) -3) (sqrt (* x y))) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (sqrt (* x y)) -3) (+ (* (* (* x y) x) (* 9 y)) (* (+ (* (* 3 x) y) z) z)) (/ (+ (* -27 (pow (* y x) 3)) (pow z 3)) (neg (+ (* (* (* x y) x) (* 9 y)) (* (+ (* (* 3 x) y) z) z)))) (+ (* -27 (pow (* y x) 3)) (pow z 3)) (* (pow (* x y) 3) -27) (sqrt (* x y)) (* (+ (* (* 3 x) y) z) z))
3.0ms
y
@inf
((neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (* y -3) x) (* y -3) (neg (+ (* -3 (* y x)) z)) (* (* x y) 3) (* x y) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (* x -3) y) (* x -3) (* (* (sqrt (* x y)) -3) (sqrt (* x y))) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (sqrt (* x y)) -3) (+ (* (* (* x y) x) (* 9 y)) (* (+ (* (* 3 x) y) z) z)) (/ (+ (* -27 (pow (* y x) 3)) (pow z 3)) (neg (+ (* (* (* x y) x) (* 9 y)) (* (+ (* (* 3 x) y) z) z)))) (+ (* -27 (pow (* y x) 3)) (pow z 3)) (* (pow (* x y) 3) -27) (sqrt (* x y)) (* (+ (* (* 3 x) y) z) z))
2.0ms
x
@0
((neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (* y -3) x) (* y -3) (neg (+ (* -3 (* y x)) z)) (* (* x y) 3) (* x y) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (* x -3) y) (* x -3) (* (* (sqrt (* x y)) -3) (sqrt (* x y))) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (sqrt (* x y)) -3) (+ (* (* (* x y) x) (* 9 y)) (* (+ (* (* 3 x) y) z) z)) (/ (+ (* -27 (pow (* y x) 3)) (pow z 3)) (neg (+ (* (* (* x y) x) (* 9 y)) (* (+ (* (* 3 x) y) z) z)))) (+ (* -27 (pow (* y x) 3)) (pow z 3)) (* (pow (* x y) 3) -27) (sqrt (* x y)) (* (+ (* (* 3 x) y) z) z))
2.0ms
x
@inf
((neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (* y -3) x) (* y -3) (neg (+ (* -3 (* y x)) z)) (* (* x y) 3) (* x y) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (* x -3) y) (* x -3) (* (* (sqrt (* x y)) -3) (sqrt (* x y))) (neg (+ (* -3 (* y x)) z)) (+ (* -3 (* y x)) z) (* (sqrt (* x y)) -3) (+ (* (* (* x y) x) (* 9 y)) (* (+ (* (* 3 x) y) z) z)) (/ (+ (* -27 (pow (* y x) 3)) (pow z 3)) (neg (+ (* (* (* x y) x) (* 9 y)) (* (+ (* (* 3 x) y) z) z)))) (+ (* -27 (pow (* y x) 3)) (pow z 3)) (* (pow (* x y) 3) -27) (sqrt (* x y)) (* (+ (* (* 3 x) y) z) z))

simplify136.0ms (1.6%)

Memory
-11.7MiB live, 72.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03261321
112201090
25980993
08632929
Stop Event
iter limit
node limit
Counts
79 → 78
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
z
(+ z (* -3 (* x y)))
(* -3 (* x y))
(* 3 (* x y))
(* x y)
(* -3 x)
(* -3 (sqrt (* x y)))
(pow z 2)
(+ (* 3 (* x (* y z))) (pow z 2))
(+ (* x (+ (* 3 (* y z)) (* 9 (* x (pow y 2))))) (pow z 2))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))))
(+ (* -1 z) (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* -3 (/ (* x (* y (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z))))) z)) (* 9 (/ (pow y 2) z))))))))
(pow z 3)
(+ (* -27 (* (pow x 3) (pow y 3))) (pow z 3))
(* -27 (* (pow x 3) (pow y 3)))
(sqrt (* x y))
(* x (- (* -1 (/ z x)) (* -3 y)))
(* x (+ (* -3 y) (/ z x)))
(* 9 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* 3 (/ (* y z) x)) (* 9 (pow y 2))))
(* (pow x 2) (+ (* 3 (/ (* y z) x)) (+ (* 9 (pow y 2)) (/ (pow z 2) (pow x 2)))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))))
(* x (+ (* -1 (/ z x)) (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) (* (pow x 3) y))) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y))))))
(* (pow x 3) (+ (* -27 (pow y 3)) (/ (pow z 3) (pow x 3))))
(* 3 (* x (* y z)))
(* x (+ (* 3 (* y z)) (/ (pow z 2) x)))
(* -1 (* x (- (/ z x) (* 3 y))))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
(* 3 (* x (* y (pow (sqrt -1) 2))))
(* 3 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -1 (/ (+ (* -3 (* y z)) (* -1 (/ (pow z 2) x))) x)) (* 9 (pow y 2))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y))) x))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) (* x y))) (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) x))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* 27 (pow y 3)))))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -3 (* y z)) (* -1 (/ (pow z 2) x)))))
(* -3 y)
(+ (* y (+ (* 3 (* x z)) (* 9 (* (pow x 2) y)))) (pow z 2))
(+ (* -1 z) (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))))
(+ (* -1 z) (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* -3 (/ (* x (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z))))) z)) (* 9 (/ (pow x 2) z))))))))
(* y (- (* -1 (/ z y)) (* -3 x)))
(* y (+ (* -3 x) (/ z y)))
(* (pow y 2) (+ (* 3 (/ (* x z) y)) (* 9 (pow x 2))))
(* (pow y 2) (+ (* 3 (/ (* x z) y)) (+ (* 9 (pow x 2)) (/ (pow z 2) (pow y 2)))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (+ (* -1/3 (/ (pow z 2) (* x (pow y 2)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))))
(* y (+ (* -1 (/ z y)) (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) (* x (pow y 3)))) (+ (* -1/3 (/ (pow z 2) (* x (pow y 2)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))))))
(* (pow y 3) (+ (* -27 (pow x 3)) (/ (pow z 3) (pow y 3))))
(* y (+ (* 3 (* x z)) (/ (pow z 2) y)))
(* -1 (* y (- (/ z y) (* 3 x))))
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x))))
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* x z)) (* -1 (/ (pow z 2) y))) y)) (* 9 (pow x 2))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x))) y))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) (* x y))) (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) y))) y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* 27 (pow x 3)))))
(* -1 (* y (+ (* -3 (* x z)) (* -1 (/ (pow z 2) y)))))
(- (* -1 z) (* -3 (* x y)))
(+ (* 3 (* x (* y z))) (* 9 (* (pow x 2) (pow y 2))))
(+ (* 9 (* (pow x 2) (pow y 2))) (* z (+ z (* 3 (* x y)))))
(* z (+ z (* 3 (* x y))))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (+ 1 (* -3 (/ (* x y) z))))
(* (pow z 2) (+ 1 (* 3 (/ (* x y) z))))
(* (pow z 2) (+ 1 (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))))
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* -3 (/ (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))))) (pow z 3))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))) 1))
(* (pow z 3) (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -3 (/ (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))
(* -1 (* (pow z 3) (- (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
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))
(* 3 (* x y))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(* x y)
(*.f64 x y)
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 (sqrt (* x y)))
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64))
(pow z 2)
(*.f64 z z)
(+ (* 3 (* x (* y z))) (pow z 2))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)
(+ (* x (+ (* 3 (* y z)) (* 9 (* x (pow y 2))))) (pow z 2))
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64) (*.f64 (*.f64 z y) #s(literal 3 binary64))) x (*.f64 z z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(+ (* -1 z) (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))))
(fma.f64 (fma.f64 #s(literal 0 binary64) x (*.f64 #s(literal 3 binary64) y)) x (neg.f64 z))
(+ (* -1 z) (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* -3 (/ (* x (* y (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z))))) z)) (* 9 (/ (pow y 2) z))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 x y)) z) #s(literal -3 binary64) #s(literal 0 binary64)) x (*.f64 #s(literal 3 binary64) y)) x (neg.f64 z))
(pow z 3)
(pow.f64 z #s(literal 3 binary64))
(+ (* -27 (* (pow x 3) (pow y 3))) (pow z 3))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 z #s(literal 3 binary64)))
(* -27 (* (pow x 3) (pow y 3)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))
(sqrt (* x y))
(sqrt.f64 (*.f64 x y))
(* 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)
(* 9 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 9 binary64))
(* (pow x 2) (+ (* 3 (/ (* y z) x)) (* 9 (pow y 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 z x) y) #s(literal 3 binary64) (*.f64 (*.f64 y y) #s(literal 9 binary64))) x) x)
(* (pow x 2) (+ (* 3 (/ (* y z) x)) (+ (* 9 (pow y 2)) (/ (pow z 2) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 9 binary64) y) y (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) z (*.f64 z (/.f64 z x))) x)) (*.f64 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)) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) z) x) (*.f64 #s(literal 3 binary64) y)) x)
(* x (+ (* -1 (/ z x)) (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) (* (pow x 3) y))) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y))))))
(*.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z y) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) z) x) (*.f64 #s(literal 3 binary64) y))) x)
(* (pow x 3) (+ (* -27 (pow y 3)) (/ (pow z 3) (pow x 3))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* 3 (* x (* y z)))
(*.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64))
(* x (+ (* 3 (* y z)) (/ (pow z 2) x)))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) z (*.f64 z (/.f64 z 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 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) x)
(* 3 (* x (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 x y) #s(literal -3 binary64))
(* 3 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64))
(* (pow x 2) (+ (* -1 (/ (+ (* -3 (* y z)) (* -1 (/ (pow z 2) x))) x)) (* 9 (pow y 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9 binary64) y) y (/.f64 (fma.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) z) #s(literal -1 binary64) (*.f64 z (/.f64 z x))) x)) x) x)
(* -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) (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y))) x))) x)))))
(*.f64 (neg.f64 x) (fma.f64 y #s(literal -3 binary64) (/.f64 (-.f64 z (/.f64 #s(literal 0 binary64) x)) x)))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) (* x y))) (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) x))) x)))))
(*.f64 (neg.f64 x) (fma.f64 y #s(literal -3 binary64) (/.f64 (-.f64 z (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) z #s(literal 0 binary64)) x)) x)))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* 27 (pow y 3)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y)))
(* -1 (* x (+ (* -3 (* y z)) (* -1 (/ (pow z 2) x)))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) z (*.f64 z (/.f64 z x))) x)
(* -3 y)
(*.f64 y #s(literal -3 binary64))
(+ (* y (+ (* 3 (* x z)) (* 9 (* (pow x 2) y)))) (pow z 2))
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64) (*.f64 (*.f64 z y) #s(literal 3 binary64))) x (*.f64 z z))
(+ (* -1 z) (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))))
(fma.f64 (fma.f64 #s(literal 0 binary64) y (*.f64 #s(literal 3 binary64) x)) y (neg.f64 z))
(+ (* -1 z) (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* -3 (/ (* x (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z))))) z)) (* 9 (/ (pow x 2) z))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 x y)) z) #s(literal -3 binary64) #s(literal 0 binary64)) y (*.f64 #s(literal 3 binary64) x)) y (neg.f64 z))
(* 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)
(* (pow y 2) (+ (* 3 (/ (* x z) y)) (* 9 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 z y) x) #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64))) y) y)
(* (pow y 2) (+ (* 3 (/ (* x z) y)) (+ (* 9 (pow x 2)) (/ (pow z 2) (pow y 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 9 binary64) x) x (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) z (/.f64 (*.f64 z z) y)) y)) (*.f64 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)) (+ (* -1/3 (/ (pow z 2) (* x (pow y 2)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) z) y) (*.f64 #s(literal 3 binary64) x)) y)
(* y (+ (* -1 (/ z y)) (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) (* x (pow y 3)))) (+ (* -1/3 (/ (pow z 2) (* x (pow y 2)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))))))
(*.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) z) y) (*.f64 #s(literal 3 binary64) x))) y)
(* (pow y 3) (+ (* -27 (pow x 3)) (/ (pow z 3) (pow y 3))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* y (+ (* 3 (* x z)) (/ (pow z 2) y)))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) z (/.f64 (*.f64 z z) y)) y)
(* -1 (* y (- (/ z y) (* 3 x))))
(*.f64 (fma.f64 #s(literal 3 binary64) x (/.f64 (neg.f64 z) y)) y)
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x))))
(*.f64 (fma.f64 x #s(literal -3 binary64) (/.f64 z y)) y)
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* x z)) (* -1 (/ (pow z 2) y))) y)) (* 9 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9 binary64) x) x (/.f64 (fma.f64 (*.f64 (*.f64 z x) #s(literal -3 binary64)) #s(literal -1 binary64) (/.f64 (*.f64 z z) y)) y)) y) y)
(* -1 (* y (+ (* -3 x) (/ z y))))
(*.f64 (fma.f64 #s(literal 3 binary64) x (/.f64 (neg.f64 z) y)) y)
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x))) y))) y)))))
(*.f64 (neg.f64 y) (fma.f64 x #s(literal -3 binary64) (/.f64 (-.f64 z (/.f64 #s(literal 0 binary64) x)) y)))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) (* x y))) (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) y))) y)))))
(*.f64 (neg.f64 y) (fma.f64 x #s(literal -3 binary64) (/.f64 (-.f64 z (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) z #s(literal 0 binary64)) y)) y)))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* 27 (pow x 3)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* y (+ (* -3 (* x z)) (* -1 (/ (pow z 2) y)))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) z (/.f64 (*.f64 z z) y)) y)
(- (* -1 z) (* -3 (* x y)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(+ (* 3 (* x (* y z))) (* 9 (* (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64) (*.f64 (*.f64 z y) #s(literal 3 binary64))) x)
(+ (* 9 (* (pow x 2) (pow y 2))) (* z (+ z (* 3 (* x y)))))
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64) (*.f64 (*.f64 z y) #s(literal 3 binary64))) x (*.f64 z z))
(* z (+ z (* 3 (* x y))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) z)
(* z (+ 1 (* -3 (/ (* x y) z))))
(*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64) #s(literal 1 binary64)) z)
(* (pow z 2) (+ 1 (* 3 (/ (* x y) z))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64) #s(literal 1 binary64)) z) z)
(* (pow z 2) (+ 1 (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) x) x) z) #s(literal -9 binary64) (*.f64 (*.f64 x y) #s(literal -3 binary64))) z)) (*.f64 z z))
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y (/.f64 #s(literal 0 binary64) z)) z) #s(literal 1 binary64)) z)
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* -3 (/ (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))))) (pow z 3))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))) 1))
(*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal 0 binary64) y) (/.f64 x (pow.f64 z #s(literal 3 binary64)))) #s(literal -3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y (/.f64 #s(literal 0 binary64) z)) z)) #s(literal 1 binary64)) z)
(* (pow z 3) (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))
(fma.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 x y) z)) #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 z #s(literal 3 binary64)))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64)) z (neg.f64 z))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 z))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) x) x) z) #s(literal -9 binary64) (*.f64 (*.f64 x y) #s(literal -3 binary64))) z)) (*.f64 z z))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y (/.f64 #s(literal 0 binary64) z)) z) z (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -3 (/ (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 x y)) z) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 z))) z) z (neg.f64 z))
(* -1 (* (pow z 3) (- (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal 1 binary64)))

rewrite200.0ms (2.4%)

Memory
10.7MiB live, 113.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042241
066223
1198221
21138219
08964208
Stop Event
iter limit
node limit
iter limit
Counts
21 → 750
Calls
Call 1
Inputs
(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))
#s(approx (neg (+ (* -3 (* y x)) 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))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)) (sqrt.f64 (*.f64 x y)))
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)) (sqrt.f64 (*.f64 x y)))))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)) (sqrt.f64 (*.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64))
(fma.f64 (*.f64 (*.f64 x y) x) (*.f64 #s(literal 9 binary64) y) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))
(/.f64 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x y) x) (*.f64 #s(literal 9 binary64) y) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))))
#s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))
(sqrt.f64 (*.f64 x y))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)
Outputs
(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 (neg.f64 (neg.f64 x)) (*.f64 y #s(literal -3 binary64)))
(*.f64 (neg.f64 (neg.f64 y)) (*.f64 x #s(literal -3 binary64)))
(*.f64 (neg.f64 (*.f64 (neg.f64 x) y)) #s(literal -3 binary64))
(*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) y)) x)
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)) (sqrt.f64 x)) (sqrt.f64 y))
(*.f64 (neg.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (neg.f64 y) (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) y) (neg.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) x) (neg.f64 y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)) (sqrt.f64 (*.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)))
(*.f64 (*.f64 x #s(literal -3 binary64)) (neg.f64 (neg.f64 y)))
(*.f64 (*.f64 x #s(literal -3 binary64)) y)
(*.f64 #s(literal 3 binary64) (*.f64 (neg.f64 x) y))
(*.f64 (*.f64 x y) #s(literal -3 binary64))
(*.f64 (*.f64 y #s(literal -3 binary64)) (neg.f64 (neg.f64 x)))
(*.f64 (*.f64 y #s(literal -3 binary64)) x)
(*.f64 x (neg.f64 (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (*.f64 y #s(literal -3 binary64)))
(*.f64 y (*.f64 x #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (neg.f64 (*.f64 (neg.f64 x) y)))
(*.f64 #s(literal -3 binary64) (*.f64 x y))
(neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(*.f64 y #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) y)
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(*.f64 (fabs.f64 (neg.f64 y)) (fabs.f64 (*.f64 x #s(literal -3 binary64))))
(*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (*.f64 y #s(literal -3 binary64))))
(*.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) y)) (fabs.f64 x))
(*.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) x)) (fabs.f64 y))
(*.f64 (fabs.f64 (*.f64 x #s(literal -3 binary64))) (fabs.f64 (neg.f64 y)))
(*.f64 (fabs.f64 (*.f64 x #s(literal -3 binary64))) (fabs.f64 y))
(*.f64 (fabs.f64 (*.f64 y #s(literal -3 binary64))) (fabs.f64 (neg.f64 x)))
(*.f64 (fabs.f64 (*.f64 y #s(literal -3 binary64))) (fabs.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 (*.f64 #s(literal 3 binary64) y)))
(*.f64 (fabs.f64 x) (fabs.f64 (*.f64 y #s(literal -3 binary64))))
(*.f64 (fabs.f64 y) (fabs.f64 (*.f64 #s(literal 3 binary64) x)))
(*.f64 (fabs.f64 y) (fabs.f64 (*.f64 x #s(literal -3 binary64))))
(*.f64 (neg.f64 x) (*.f64 y #s(literal -3 binary64)))
(*.f64 (neg.f64 y) (*.f64 x #s(literal -3 binary64)))
(*.f64 (*.f64 (neg.f64 x) y) #s(literal -3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 (*.f64 x #s(literal -3 binary64)) (neg.f64 y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (*.f64 y #s(literal -3 binary64)) (neg.f64 x))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x) y))
(neg.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64)))
(fabs.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y))
(fabs.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (neg.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 x y))) (fabs.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (fabs.f64 x) (fabs.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x 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)))
(fabs.f64 (*.f64 (neg.f64 x) y))
(fabs.f64 (*.f64 x y))
(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))))
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(fma.f64 (neg.f64 (fabs.f64 z)) (fabs.f64 z) (*.f64 (neg.f64 z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)))
(fma.f64 (neg.f64 (fabs.f64 z)) (fabs.f64 z) (*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y) z))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 #s(literal -3 binary64) z)))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 x z)))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (*.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal -3 binary64)) z)))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (*.f64 (neg.f64 y) (*.f64 (*.f64 x #s(literal -3 binary64)) z)))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y) (neg.f64 z)))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (*.f64 (neg.f64 z) (*.f64 (*.f64 x #s(literal -3 binary64)) y)))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 z) (*.f64 (neg.f64 z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 z) (*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y) z))
(fma.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 z)) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 #s(literal -3 binary64) z)))
(fma.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 z)) (*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 x z)))
(fma.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 z)) (*.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal -3 binary64)) z)))
(fma.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 z)) (*.f64 (neg.f64 y) (*.f64 (*.f64 x #s(literal -3 binary64)) z)))
(fma.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 z)) (*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y) (neg.f64 z)))
(fma.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 z)) (*.f64 (neg.f64 z) (*.f64 (*.f64 x #s(literal -3 binary64)) y)))
(fma.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 z)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z))
(fma.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (fma.f64 (*.f64 x #s(literal -3 binary64)) y z)))) (neg.f64 z) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (fma.f64 (*.f64 x #s(literal -3 binary64)) y z)))) (neg.f64 z)))
(fma.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (fma.f64 (*.f64 x #s(literal -3 binary64)) y z)))) z (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (fma.f64 (*.f64 x #s(literal -3 binary64)) y z)))) z))
(fma.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y) z (*.f64 (neg.f64 z) z))
(fma.f64 (fabs.f64 z) (neg.f64 (fabs.f64 z)) (*.f64 (neg.f64 z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)))
(fma.f64 (fabs.f64 z) (neg.f64 (fabs.f64 z)) (*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y) z))
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 #s(literal -3 binary64) z)))
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 x z)))
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal -3 binary64)) z)))
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 (neg.f64 y) (*.f64 (*.f64 x #s(literal -3 binary64)) z)))
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y) (neg.f64 z)))
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 (neg.f64 z) (*.f64 (*.f64 x #s(literal -3 binary64)) y)))
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z))
(fma.f64 (neg.f64 z) (neg.f64 (neg.f64 z)) (*.f64 (neg.f64 z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)))
(fma.f64 (neg.f64 z) (neg.f64 (neg.f64 z)) (*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y) z))
(fma.f64 (neg.f64 z) (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (fma.f64 (*.f64 x #s(literal -3 binary64)) y z)))) (*.f64 (neg.f64 z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (fma.f64 (*.f64 x #s(literal -3 binary64)) y z))))))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 #s(literal -3 binary64) z)))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 x z)))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal -3 binary64)) z)))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 (neg.f64 y) (*.f64 (*.f64 x #s(literal -3 binary64)) z)))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y) (neg.f64 z)))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 (neg.f64 z) (*.f64 (*.f64 x #s(literal -3 binary64)) y)))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z))
(fma.f64 (neg.f64 z) (*.f64 (*.f64 #s(literal 3 binary64) x) y) (*.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 z) z (*.f64 (neg.f64 z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)))
(fma.f64 (neg.f64 z) z (*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y) z))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) (neg.f64 z) (*.f64 (neg.f64 z) z))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z (*.f64 z z))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y z) (*.f64 z z))
(fma.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y z) (*.f64 (neg.f64 z) z))
(fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 x y) z) (*.f64 z z))
(fma.f64 (*.f64 x y) (*.f64 #s(literal -3 binary64) z) (*.f64 (neg.f64 z) z))
(fma.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) z) (*.f64 z z))
(fma.f64 (*.f64 y #s(literal -3 binary64)) (*.f64 x z) (*.f64 (neg.f64 z) z))
(fma.f64 z (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (fma.f64 (*.f64 x #s(literal -3 binary64)) y z)))) (*.f64 z (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (fma.f64 (*.f64 x #s(literal -3 binary64)) y z))))))
(fma.f64 z (*.f64 (*.f64 x #s(literal -3 binary64)) y) (*.f64 (neg.f64 z) z))
(fma.f64 z (neg.f64 z) (*.f64 (neg.f64 z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)))
(fma.f64 z (neg.f64 z) (*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y) z))
(fma.f64 z (*.f64 (*.f64 #s(literal 3 binary64) x) y) (*.f64 z z))
(fma.f64 z z (*.f64 (*.f64 (neg.f64 x) y) (*.f64 #s(literal -3 binary64) z)))
(fma.f64 z z (*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 x z)))
(fma.f64 z z (*.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal -3 binary64)) z)))
(fma.f64 z z (*.f64 (neg.f64 y) (*.f64 (*.f64 x #s(literal -3 binary64)) z)))
(fma.f64 z z (*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y) (neg.f64 z)))
(fma.f64 z z (*.f64 (neg.f64 z) (*.f64 (*.f64 x #s(literal -3 binary64)) y)))
(fma.f64 z z (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z))
(fma.f64 x (*.f64 (*.f64 y #s(literal -3 binary64)) z) (*.f64 (neg.f64 z) z))
(fma.f64 x (*.f64 (*.f64 #s(literal 3 binary64) y) z) (*.f64 z z))
(fma.f64 y (*.f64 (*.f64 x #s(literal -3 binary64)) z) (*.f64 (neg.f64 z) z))
(fma.f64 y (*.f64 (*.f64 #s(literal 3 binary64) x) z) (*.f64 z z))
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x y) z) (*.f64 (neg.f64 z) z))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 z (fma.f64 (*.f64 x #s(literal -3 binary64)) y z))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z) #s(literal 2 binary64)) (*.f64 z (fma.f64 (*.f64 x #s(literal -3 binary64)) y z))))
(-.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y) z) (*.f64 z (fma.f64 (*.f64 x #s(literal -3 binary64)) y z))))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z) #s(literal 3 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y) z) (*.f64 z (fma.f64 (*.f64 x #s(literal -3 binary64)) y z))))))
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z) (*.f64 (neg.f64 z) z))
(-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 #s(literal 3 binary64) z)))
(-.f64 (*.f64 z z) (*.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) y) z)))
(-.f64 (*.f64 z z) (*.f64 (neg.f64 y) (*.f64 (*.f64 #s(literal 3 binary64) x) z)))
(-.f64 (*.f64 z z) (*.f64 (neg.f64 z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)))
(-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y) z))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (fma.f64 (*.f64 x #s(literal -3 binary64)) y z)))) z) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (fma.f64 (*.f64 x #s(literal -3 binary64)) y z)))) z))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (fma.f64 (*.f64 x #s(literal -3 binary64)) y z)))) (neg.f64 z)) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (fma.f64 (*.f64 x #s(literal -3 binary64)) y z)))) (neg.f64 z)))
(+.f64 (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (fma.f64 (*.f64 x #s(literal -3 binary64)) y z))))) (*.f64 z (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (fma.f64 (*.f64 x #s(literal -3 binary64)) y z))))))
(+.f64 (*.f64 (neg.f64 z) (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (fma.f64 (*.f64 x #s(literal -3 binary64)) y z))))) (*.f64 (neg.f64 z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (fma.f64 (*.f64 x #s(literal -3 binary64)) y z))))))
(+.f64 (*.f64 (neg.f64 z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (*.f64 (neg.f64 z) z))
(+.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)))
(+.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y) z))
(+.f64 (*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y) z) (*.f64 (neg.f64 z) z))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z) (*.f64 z z))
(+.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 #s(literal -3 binary64) z)))
(+.f64 (*.f64 z z) (*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 x z)))
(+.f64 (*.f64 z z) (*.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal -3 binary64)) z)))
(+.f64 (*.f64 z z) (*.f64 (neg.f64 y) (*.f64 (*.f64 x #s(literal -3 binary64)) z)))
(+.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y) (neg.f64 z)))
(+.f64 (*.f64 z z) (*.f64 (neg.f64 z) (*.f64 (*.f64 x #s(literal -3 binary64)) y)))
(+.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z))

eval116.0ms (1.4%)

Memory
-18.4MiB live, 139.8MiB allocated
Compiler

Compiled 35 946 to 3 326 computations (90.7% saved)

prune20.0ms (0.2%)

Memory
14.0MiB live, 52.6MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New8564860
Fresh000
Picked415
Done033
Total8608868
Accuracy
100.0%
Counts
868 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.4%
(/.f64 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x y) x) (*.f64 #s(literal 9 binary64) y) #s(approx (* (+ (* (* 3 x) y) z) z) (*.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64))))))
99.9%
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
99.8%
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
50.5%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
50.8%
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
24.4%
#s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
50.7%
#s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
50.8%
#s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
Compiler

Compiled 462 to 204 computations (55.8% saved)

regimes33.0ms (0.4%)

Memory
-4.3MiB live, 56.2MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(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)
#s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(neg.f64 #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -3 binary64)) (sqrt.f64 (*.f64 x y)))))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 (*.f64 x y) #s(literal 9 binary64))) (neg.f64 z))
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64))) z)
(/.f64 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x y) x) (*.f64 #s(literal 9 binary64) y) #s(approx (* (+ (* (* 3 x) y) z) z) (*.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64))))))
(/.f64 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x y) x) (*.f64 #s(literal 9 binary64) y) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z))))
(/.f64 #s(approx (+ (* -27 (pow (* y x) 3)) (pow z 3)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.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 -27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.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))))
Outputs
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
Calls

6 calls:

7.0ms
y
5.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
5.0ms
z
5.0ms
(*.f64 x #s(literal 3 binary64))
5.0ms
x
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)

regimes18.0ms (0.2%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(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)
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Calls

6 calls:

3.0ms
x
3.0ms
(*.f64 x #s(literal 3 binary64))
3.0ms
z
3.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
3.0ms
y
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)

regimes29.0ms (0.3%)

Memory
-14.4MiB live, 17.3MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(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))
Outputs
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
Calls

6 calls:

16.0ms
y
3.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
3.0ms
z
3.0ms
(*.f64 x #s(literal 3 binary64))
3.0ms
x
Results
AccuracySegmentsBranch
99.8%1(*.f64 x #s(literal 3 binary64))
99.8%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
99.8%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
99.8%1x
99.8%1y
99.8%1z
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes14.0ms (0.2%)

Memory
17.9MiB live, 17.9MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
#s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(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 (+ (* -3 (* y x)) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
Calls

6 calls:

2.0ms
z
2.0ms
(*.f64 x #s(literal 3 binary64))
2.0ms
y
2.0ms
x
2.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Results
AccuracySegmentsBranch
74.7%3(*.f64 x #s(literal 3 binary64))
84.1%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
62.7%3(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
74.7%3x
75.4%3y
71.5%3z
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes3.0ms (0%)

Memory
-33.8MiB live, 1.9MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
Outputs
#s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
Calls

1 calls:

1.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Results
AccuracySegmentsBranch
84.0%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 5 to 6 computations (-20% saved)

regimes6.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB 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:

1.0ms
(*.f64 x #s(literal 3 binary64))
1.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
1.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
50.5%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
50.5%1z
50.5%1(*.f64 x #s(literal 3 binary64))
50.5%1x
50.5%1y
50.5%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 18 to 27 computations (-50% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.259551019581631e+72
5.829036192759031e+73
0.0ms
-1.5955844329314467e-73
-4.431736284615563e-74
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.259551019581631e+72
5.829036192759031e+73
0.0ms
-1.5955844329314467e-73
-4.431736284615563e-74
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify15.0ms (0.2%)

Memory
12.4MiB live, 12.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036125
160125
289125
3141125
4215125
5286125
6314125
7327125
8340125
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 9999999999999999830336967949613257980309080240684656321838454199566729216 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 9999999999999999830336967949613257980309080240684656321838454199566729216 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Outputs
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (+ (* -3 (* y x)) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 9999999999999999830336967949613257980309080240684656321838454199566729216 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 9999999999999999830336967949613257980309080240684656321838454199566729216 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))))
(if (or (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -6365737426045269/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (not (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 9999999999999999830336967949613257980309080240684656321838454199566729216 binary64)))) #s(approx (neg (+ (* -3 (* y x)) z)) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))

soundness1.1s (12.9%)

Memory
-11.9MiB live, 275.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03371375
112601142
261451048
08096989
03866
112166
240266
3111766
4303866
5489266
6596966
7617966
8710966
0852766
03451419
112911184
263011092
080591027
0715
01015
12615
216415
3175815
0873114
042241
066223
1198221
21138219
08964208
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 206 to 125 computations (39.3% saved)

preprocess45.0ms (0.5%)

Memory
0.9MiB live, 63.0MiB allocated
Compiler

Compiled 306 to 136 computations (55.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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