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

Time bar (total: 5.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
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)

sample713.0ms (12.6%)

Memory
39.7MiB live, 1 388.7MiB allocated; 235ms collecting garbage
Samples
439.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 185.0ms
ival-mult: 126.0ms (68.1% of total)
ival-sub: 42.0ms (22.7% of total)
ival-true: 6.0ms (3.2% of total)
exact: 5.0ms (2.7% of total)
ival-assert: 4.0ms (2.2% of total)
adjust: 2.0ms (1.1% of total)
Bogosity

explain92.0ms (1.6%)

Memory
-27.5MiB live, 130.7MiB allocated; 57ms collecting garbage
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
25.0ms512×0valid
Compiler

Compiled 49 to 25 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (67.2% of total)
ival-sub: 2.0ms (19.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess16.0ms (0.3%)

Memory
28.7MiB live, 28.7MiB allocated; 0ms collecting garbage
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; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Compiler

Compiled 7 to 7 computations (0% saved)

simplify4.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
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

localize26.0ms (0.5%)

Memory
-8.1MiB live, 36.2MiB allocated; 17ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x #s(literal 3 binary64))
accuracy0.00390625
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
accuracy0.1953125
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Samples
20.0ms256×0valid
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 (59.3% of total)
ival-sub: 1.0ms (19.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
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))

simplify126.0ms (2.2%)

Memory
-24.7MiB live, 120.2MiB allocated; 34ms collecting garbage
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))

rewrite232.0ms (4.1%)

Memory
31.9MiB live, 354.6MiB allocated; 69ms collecting garbage
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 y (*.f64 #s(literal 3 binary64) x))
(*.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))

eval27.0ms (0.5%)

Memory
10.9MiB live, 56.6MiB allocated; 5ms collecting garbage
Compiler

Compiled 8 430 to 627 computations (92.6% saved)

prune11.0ms (0.2%)

Memory
-22.8MiB live, 22.6MiB allocated; 6ms collecting garbage
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2278235
Fresh000
Picked011
Done000
Total2279236
Accuracy
100.0%
Counts
236 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.6%
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) (/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
25.2%
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
99.8%
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
99.8%
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
99.8%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
65.2%
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y)) (sqrt.f64 #s(literal 3 binary64))) z)
43.5%
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y)) z)
58.4%
(-.f64 (*.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x))) (sqrt.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)))) z)
48.9%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 249 to 169 computations (32.1% saved)

simplify240.0ms (4.2%)

Memory
-30.0MiB live, 152.6MiB allocated; 129ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff0
(*.f64 y (*.f64 #s(literal 3 binary64) x))
cost-diff0
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y)
cost-diff9
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) (/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
cost-diff0
(*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y)
cost-diff0
(sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y)) (sqrt.f64 #s(literal 3 binary64)))
cost-diff0
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y)) (sqrt.f64 #s(literal 3 binary64))) z)
cost-diff0
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
cost-diff0
(sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y))
cost-diff0
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y)) 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: 0 (0.0ms)

IterNodesCost
034234
060234
1100228
2244226
3793226
41862226
53613226
64423226
75296226
87344226
08103225
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
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y)) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y))
(sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
(*.f64 #s(literal 9 binary64) (*.f64 x x))
#s(literal 9 binary64)
(*.f64 x x)
x
y
(sqrt.f64 y)
z
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y)) (sqrt.f64 #s(literal 3 binary64))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y))
(*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y)
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
(*.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
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) (/.f64 (*.f64 #s(literal 3 binary64) x) (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 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
(/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
z
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
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
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y)) z)
(-.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 9 binary64)) x))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 9 binary64)) x)))
(sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y))
(sqrt.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 9 binary64)) x))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
(*.f64 (*.f64 (*.f64 x y) #s(literal 9 binary64)) x)
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
#s(literal 9 binary64)
(*.f64 x x)
x
y
(sqrt.f64 y)
z
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y)) (sqrt.f64 #s(literal 3 binary64))) z)
(-.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) x) y))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y)) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) x) y)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y))
(sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) x) y))
(*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y)
(*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) x) y)
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) x)
(*.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
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) (/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) x (*.f64 z z)) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))
(*.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
(/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 (/.f64 #s(literal 3 binary64) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) x)
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
z
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(*.f64 (/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) z)
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))

localize557.0ms (9.9%)

Memory
-0.1MiB live, 141.2MiB allocated; 25ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy1.2200837759618355
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
accuracy1.4996624626259456
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy4.801305626075243
(/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy7.403003845471565
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) (/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
accuracy0.14453125
(*.f64 y (*.f64 #s(literal 3 binary64) x))
accuracy0.244472509768442
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y)) (sqrt.f64 #s(literal 3 binary64)))
accuracy3.6049063455389545
(*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y)
accuracy11.204527764795035
(sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y))
accuracy0.11291754138909578
(*.f64 #s(literal 9 binary64) (*.f64 x x))
accuracy0.197597509768442
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y))
accuracy4.731512862793136
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
accuracy15.427309448771307
(sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y))
accuracy0.0
(neg.f64 z)
accuracy23.990152895770468
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
accuracy0.0
(*.f64 y #s(literal 3 binary64))
accuracy0.00390625
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
accuracy0.13671875
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
Samples
518.0ms185×0valid
17.0ms71×0invalid
Compiler

Compiled 240 to 36 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 298.0ms
ival-sub: 242.0ms (81.2% of total)
ival-mult: 37.0ms (12.4% of total)
ival-sqrt: 11.0ms (3.7% of total)
ival-div: 3.0ms (1% of total)
ival-add: 2.0ms (0.7% of total)
ival-neg: 1.0ms (0.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series56.0ms (1%)

Memory
0.5MiB live, 89.2MiB allocated; 18ms collecting garbage
Counts
21 → 134
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)
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y)) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y))
(sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y)) (sqrt.f64 #s(literal 3 binary64))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y))
(*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y)
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) (/.f64 (*.f64 #s(literal 3 binary64) x) (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 y (*.f64 #s(literal 3 binary64) x)) y)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
Outputs
(* -1 z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x (sqrt y)))
(* 9 (* (pow x 2) y))
(- (* x (* y (pow (sqrt 3) 2))) z)
(* x (* y (pow (sqrt 3) 2)))
(* x (* y (sqrt 3)))
(* 3 (* (pow x 2) (pow y 2)))
z
(+ z (* -3 (* x y)))
(+ z (* x (- (* x (- (* 9 (/ (pow y 2) z)) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(+ z (* x (- (* x (- (+ (* 9 (/ (pow y 2) z)) (* x (- (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(* 3 (* x (pow y 2)))
(* 3 x)
(* 9 (pow x 2))
(* 3 (/ x z))
(* x (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z))))
(* x (+ (* x (+ (* -9 (/ y (pow z 2))) (* 27 (/ (* x (pow y 2)) (pow z 3))))) (* 3 (/ 1 z))))
(* x (+ (* x (+ (* -9 (/ y (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 3)) (pow z 4))) (* 27 (/ (pow y 2) (pow z 3))))))) (* 3 (/ 1 z))))
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y))))
(+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(* x (+ (* -1 (/ z x)) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y))))
(* x (- (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))) (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2))))))
(/ 1 y)
(+ (* -1/3 (/ z (* x (pow y 2)))) (/ 1 y))
(- (+ (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ 1 y)) (* 1/3 (/ z (* x (pow y 2)))))
(- (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1/9 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z (* x (pow y 2))))))
(* 1/3 (/ z (* x y)))
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(* 1/3 (/ (pow z 2) (* x y)))
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x)
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -3 (* x y))
(* -1 (* x (+ (* 3 y) (/ z x))))
(* -3 (* x (sqrt 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) (* 2/3 (/ (pow z 2) (* x y)))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow y 2))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -2/3 (/ (pow z 2) y))) x))) x)))))
(+ (* -1 (/ (- (* -1/9 (/ (pow z 2) (* x (pow y 3)))) (* -1/3 (/ z (pow y 2)))) x)) (/ 1 y))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 3) (* x (pow y 4)))) (* -1/9 (/ (pow z 2) (pow y 3)))) x)) (* -1/3 (/ z (pow y 2)))) x)) (/ 1 y))
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(* 3 y)
(+ z (* y (- (* y (- (* 9 (/ (pow x 2) z)) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(+ z (* y (- (* y (- (+ (* 9 (/ (pow x 2) z)) (* y (- (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(+ (* -9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))
(+ (* 3 (/ x z)) (* y (+ (* -9 (/ (pow x 2) (pow z 2))) (* 27 (/ (* (pow x 3) y) (pow z 3))))))
(+ (* 3 (/ x z)) (* y (+ (* -9 (/ (pow x 2) (pow z 2))) (* y (+ (* -81 (/ (* (pow x 4) y) (pow z 4))) (* 27 (/ (pow x 3) (pow z 3))))))))
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z)))))
(+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x))))
(+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(* y (+ (* -1 (/ z y)) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))))
(* y (- (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3))))))
(/ (+ 1 (* -1/3 (/ z (* x y)))) y)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) y)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) y)
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y)
(/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y)
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* x (* y (* (sqrt -9) (sqrt -1)))))
(* -1 (* y (+ (* x (* (sqrt -9) (sqrt -1))) (/ z y))))
(* -1 (* (* x (* (sqrt -9) (sqrt -1))) (sqrt y)))
(* -1 (* y (+ (* x (pow (sqrt 3) 2)) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow x 2))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -2/3 (/ (pow z 2) x))) y))) y)))))
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) y))
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow x 2))) (* 1/27 (/ (pow z 3) (* (pow x 3) y)))) y)) (* -1/3 (/ z x))) y)) 1) y))
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(+ (* 3 (* x y)) (* z (- (* 2/3 (/ z (* x y))) 1)))
(+ (* 3 (* x y)) (* z (- (* z (+ (* -2/9 (/ z (* (pow x 2) (pow y 2)))) (* 2/3 (/ 1 (* x y))))) 1)))
(+ (* z (- (* 1/9 (/ z (* (pow x 2) (pow y 3)))) (* 1/3 (/ 1 (* x (pow y 2)))))) (/ 1 y))
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 3) (pow y 4)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 3)))))) (* 1/3 (/ 1 (* x (pow y 2)))))) (/ 1 y))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(* z (- (+ 1 (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))))
(/ (+ (* -9 (/ (* (pow x 2) y) z)) (* 3 x)) z)
(/ (+ (* -9 (/ (* (pow x 2) y) z)) (+ (* 3 x) (* 27 (/ (* (pow x 3) (pow y 2)) (pow z 2))))) z)
(/ (+ (* -81 (/ (* (pow x 4) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) y) z)) (+ (* 3 x) (* 27 (/ (* (pow x 3) (pow y 2)) (pow z 2)))))) z)
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))
(* z (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -9 (* (pow x 2) (pow y 2))) (* -1 (/ (- (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(* -1 (/ (+ (* -3 x) (* 9 (/ (* (pow x 2) y) z))) z))
(* -1 (/ (+ (* -3 x) (* -1 (/ (+ (* -9 (* (pow x 2) y)) (* 27 (/ (* (pow x 3) (pow y 2)) z))) z))) z))
(* -1 (/ (+ (* -3 x) (* -1 (/ (+ (* -9 (* (pow x 2) y)) (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 2))) (* 81 (/ (* (pow x 4) (pow y 3)) z))) z))) z))) z))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
Calls

9 calls:

TimeVariablePointExpression
11.0ms
x
@inf
((- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* x 3) y) z) (neg z) (- (* (sqrt (* (* 9 (* x x)) y)) (sqrt y)) z) (* (sqrt (* (* 9 (* x x)) y)) (sqrt y)) (sqrt (* (* 9 (* x x)) y)) (* (* 9 (* x x)) y) (- (* (sqrt (* (* (* y (* 3 x)) x) y)) (sqrt 3)) z) (* (sqrt (* (* (* y (* 3 x)) x) y)) (sqrt 3)) (sqrt (* (* (* y (* 3 x)) x) y)) (* (* (* y (* 3 x)) x) y) (+ (* (* (* y (* 3 x)) y) (/ (* 3 x) (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (* (* y (* 3 x)) y) (* y (* 3 x)) (* 3 x) (* 9 (* x x)) (/ (* 3 x) (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
9.0ms
y
@-inf
((- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* x 3) y) z) (neg z) (- (* (sqrt (* (* 9 (* x x)) y)) (sqrt y)) z) (* (sqrt (* (* 9 (* x x)) y)) (sqrt y)) (sqrt (* (* 9 (* x x)) y)) (* (* 9 (* x x)) y) (- (* (sqrt (* (* (* y (* 3 x)) x) y)) (sqrt 3)) z) (* (sqrt (* (* (* y (* 3 x)) x) y)) (sqrt 3)) (sqrt (* (* (* y (* 3 x)) x) y)) (* (* (* y (* 3 x)) x) y) (+ (* (* (* y (* 3 x)) y) (/ (* 3 x) (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (* (* y (* 3 x)) y) (* y (* 3 x)) (* 3 x) (* 9 (* x x)) (/ (* 3 x) (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
8.0ms
x
@0
((- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* x 3) y) z) (neg z) (- (* (sqrt (* (* 9 (* x x)) y)) (sqrt y)) z) (* (sqrt (* (* 9 (* x x)) y)) (sqrt y)) (sqrt (* (* 9 (* x x)) y)) (* (* 9 (* x x)) y) (- (* (sqrt (* (* (* y (* 3 x)) x) y)) (sqrt 3)) z) (* (sqrt (* (* (* y (* 3 x)) x) y)) (sqrt 3)) (sqrt (* (* (* y (* 3 x)) x) y)) (* (* (* y (* 3 x)) x) y) (+ (* (* (* y (* 3 x)) y) (/ (* 3 x) (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (* (* y (* 3 x)) y) (* y (* 3 x)) (* 3 x) (* 9 (* x x)) (/ (* 3 x) (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
7.0ms
y
@0
((- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* x 3) y) z) (neg z) (- (* (sqrt (* (* 9 (* x x)) y)) (sqrt y)) z) (* (sqrt (* (* 9 (* x x)) y)) (sqrt y)) (sqrt (* (* 9 (* x x)) y)) (* (* 9 (* x x)) y) (- (* (sqrt (* (* (* y (* 3 x)) x) y)) (sqrt 3)) z) (* (sqrt (* (* (* y (* 3 x)) x) y)) (sqrt 3)) (sqrt (* (* (* y (* 3 x)) x) y)) (* (* (* y (* 3 x)) x) y) (+ (* (* (* y (* 3 x)) y) (/ (* 3 x) (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (* (* y (* 3 x)) y) (* y (* 3 x)) (* 3 x) (* 9 (* x x)) (/ (* 3 x) (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
6.0ms
y
@inf
((- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* x 3) y) z) (neg z) (- (* (sqrt (* (* 9 (* x x)) y)) (sqrt y)) z) (* (sqrt (* (* 9 (* x x)) y)) (sqrt y)) (sqrt (* (* 9 (* x x)) y)) (* (* 9 (* x x)) y) (- (* (sqrt (* (* (* y (* 3 x)) x) y)) (sqrt 3)) z) (* (sqrt (* (* (* y (* 3 x)) x) y)) (sqrt 3)) (sqrt (* (* (* y (* 3 x)) x) y)) (* (* (* y (* 3 x)) x) y) (+ (* (* (* y (* 3 x)) y) (/ (* 3 x) (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (* (* y (* 3 x)) y) (* y (* 3 x)) (* 3 x) (* 9 (* x x)) (/ (* 3 x) (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))

simplify188.0ms (3.3%)

Memory
4.1MiB live, 288.7MiB allocated; 39ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07473052
124322923
086102754
Stop Event
iter limit
node limit
Counts
134 → 133
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x (sqrt y)))
(* 9 (* (pow x 2) y))
(- (* x (* y (pow (sqrt 3) 2))) z)
(* x (* y (pow (sqrt 3) 2)))
(* x (* y (sqrt 3)))
(* 3 (* (pow x 2) (pow y 2)))
z
(+ z (* -3 (* x y)))
(+ z (* x (- (* x (- (* 9 (/ (pow y 2) z)) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(+ z (* x (- (* x (- (+ (* 9 (/ (pow y 2) z)) (* x (- (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(* 3 (* x (pow y 2)))
(* 3 x)
(* 9 (pow x 2))
(* 3 (/ x z))
(* x (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z))))
(* x (+ (* x (+ (* -9 (/ y (pow z 2))) (* 27 (/ (* x (pow y 2)) (pow z 3))))) (* 3 (/ 1 z))))
(* x (+ (* x (+ (* -9 (/ y (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 3)) (pow z 4))) (* 27 (/ (pow y 2) (pow z 3))))))) (* 3 (/ 1 z))))
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y))))
(+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(* x (+ (* -1 (/ z x)) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y))))
(* x (- (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))) (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2))))))
(/ 1 y)
(+ (* -1/3 (/ z (* x (pow y 2)))) (/ 1 y))
(- (+ (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ 1 y)) (* 1/3 (/ z (* x (pow y 2)))))
(- (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1/9 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z (* x (pow y 2))))))
(* 1/3 (/ z (* x y)))
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(* 1/3 (/ (pow z 2) (* x y)))
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x)
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -3 (* x y))
(* -1 (* x (+ (* 3 y) (/ z x))))
(* -3 (* x (sqrt 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) (* 2/3 (/ (pow z 2) (* x y)))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow y 2))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -2/3 (/ (pow z 2) y))) x))) x)))))
(+ (* -1 (/ (- (* -1/9 (/ (pow z 2) (* x (pow y 3)))) (* -1/3 (/ z (pow y 2)))) x)) (/ 1 y))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 3) (* x (pow y 4)))) (* -1/9 (/ (pow z 2) (pow y 3)))) x)) (* -1/3 (/ z (pow y 2)))) x)) (/ 1 y))
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(* 3 y)
(+ z (* y (- (* y (- (* 9 (/ (pow x 2) z)) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(+ z (* y (- (* y (- (+ (* 9 (/ (pow x 2) z)) (* y (- (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(+ (* -9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))
(+ (* 3 (/ x z)) (* y (+ (* -9 (/ (pow x 2) (pow z 2))) (* 27 (/ (* (pow x 3) y) (pow z 3))))))
(+ (* 3 (/ x z)) (* y (+ (* -9 (/ (pow x 2) (pow z 2))) (* y (+ (* -81 (/ (* (pow x 4) y) (pow z 4))) (* 27 (/ (pow x 3) (pow z 3))))))))
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z)))))
(+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x))))
(+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(* y (+ (* -1 (/ z y)) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))))
(* y (- (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3))))))
(/ (+ 1 (* -1/3 (/ z (* x y)))) y)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) y)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) y)
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y)
(/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y)
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* x (* y (* (sqrt -9) (sqrt -1)))))
(* -1 (* y (+ (* x (* (sqrt -9) (sqrt -1))) (/ z y))))
(* -1 (* (* x (* (sqrt -9) (sqrt -1))) (sqrt y)))
(* -1 (* y (+ (* x (pow (sqrt 3) 2)) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow x 2))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -2/3 (/ (pow z 2) x))) y))) y)))))
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) y))
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow x 2))) (* 1/27 (/ (pow z 3) (* (pow x 3) y)))) y)) (* -1/3 (/ z x))) y)) 1) y))
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(+ (* 3 (* x y)) (* z (- (* 2/3 (/ z (* x y))) 1)))
(+ (* 3 (* x y)) (* z (- (* z (+ (* -2/9 (/ z (* (pow x 2) (pow y 2)))) (* 2/3 (/ 1 (* x y))))) 1)))
(+ (* z (- (* 1/9 (/ z (* (pow x 2) (pow y 3)))) (* 1/3 (/ 1 (* x (pow y 2)))))) (/ 1 y))
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 3) (pow y 4)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 3)))))) (* 1/3 (/ 1 (* x (pow y 2)))))) (/ 1 y))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(* z (- (+ 1 (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))))
(/ (+ (* -9 (/ (* (pow x 2) y) z)) (* 3 x)) z)
(/ (+ (* -9 (/ (* (pow x 2) y) z)) (+ (* 3 x) (* 27 (/ (* (pow x 3) (pow y 2)) (pow z 2))))) z)
(/ (+ (* -81 (/ (* (pow x 4) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) y) z)) (+ (* 3 x) (* 27 (/ (* (pow x 3) (pow y 2)) (pow z 2)))))) z)
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))
(* z (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -9 (* (pow x 2) (pow y 2))) (* -1 (/ (- (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(* -1 (/ (+ (* -3 x) (* 9 (/ (* (pow x 2) y) z))) z))
(* -1 (/ (+ (* -3 x) (* -1 (/ (+ (* -9 (* (pow x 2) y)) (* 27 (/ (* (pow x 3) (pow y 2)) z))) z))) z))
(* -1 (/ (+ (* -3 x) (* -1 (/ (+ (* -9 (* (pow x 2) y)) (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 2))) (* 81 (/ (* (pow x 4) (pow y 3)) z))) z))) z))) z))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
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))
(* 3 (* x (sqrt y)))
(*.f64 (*.f64 (sqrt.f64 y) x) #s(literal 3 binary64))
(* 9 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 9 binary64))
(- (* 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)
(* 3 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 3 binary64))
z
(+ z (* -3 (* x y)))
(fma.f64 #s(literal -3 binary64) (*.f64 x y) z)
(+ z (* x (- (* x (- (* 9 (/ (pow y 2) z)) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(fma.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 y y) z)) #s(literal 18 binary64) (*.f64 #s(literal -3 binary64) y)) x z)
(+ z (* x (- (* x (- (+ (* 9 (/ (pow y 2) z)) (* x (- (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -54 binary64)) (*.f64 z z)) x (*.f64 (/.f64 (*.f64 y y) z) #s(literal 18 binary64))) x (*.f64 #s(literal -3 binary64) y)) x z)
(* 3 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* 3 (/ x z))
(*.f64 (/.f64 x z) #s(literal 3 binary64))
(* x (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z))))
(/.f64 (fma.f64 (*.f64 x (*.f64 y (/.f64 x z))) #s(literal -9 binary64) (*.f64 #s(literal 3 binary64) x)) z)
(* x (+ (* x (+ (* -9 (/ y (pow z 2))) (* 27 (/ (* x (pow y 2)) (pow z 3))))) (* 3 (/ 1 z))))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -9 binary64) z) (/.f64 y z) (/.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 27 binary64)) (pow.f64 z #s(literal 3 binary64)))) x (/.f64 #s(literal 3 binary64) z)) x)
(* x (+ (* x (+ (* -9 (/ y (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 3)) (pow z 4))) (* 27 (/ (pow y 2) (pow z 3))))))) (* 3 (/ 1 z))))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -9 binary64) z) (/.f64 y z) (*.f64 (fma.f64 (*.f64 #s(literal -81 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 y y) #s(literal 27 binary64)) (pow.f64 z #s(literal 3 binary64)))) x)) x (/.f64 #s(literal 3 binary64) z)) x)
1
#s(literal 1 binary64)
(+ 1 (* -3 (/ (* x y) z)))
(fma.f64 (*.f64 y (/.f64 x z)) #s(literal -3 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 9 binary64) x) (*.f64 y (/.f64 y (*.f64 z z))) (*.f64 #s(literal -3 binary64) (/.f64 y z))) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27 binary64) x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (*.f64 #s(literal 9 binary64) (*.f64 y (/.f64 y (*.f64 z z))))) x (*.f64 #s(literal -3 binary64) (/.f64 y z))) x #s(literal 1 binary64))
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y))))
(fma.f64 (fma.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 (*.f64 y y) z) (*.f64 #s(literal -3 binary64) y)) x z)
(+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27 binary64) x) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z) (*.f64 (/.f64 (*.f64 y y) z) #s(literal 9 binary64))) x (*.f64 #s(literal -3 binary64) y)) x 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)) (* y (pow (sqrt 3) 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* x (+ (* -1 (/ z x)) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y))))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (fma.f64 (*.f64 z (/.f64 (/.f64 z x) y)) #s(literal 2/3 binary64) (neg.f64 z)) x)) x)
(* x (- (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))) (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2))))))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 y y)) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) y (/.f64 (fma.f64 (*.f64 z (/.f64 (/.f64 z x) y)) #s(literal 2/3 binary64) (neg.f64 z)) x))) (*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 y y)) (pow.f64 (/.f64 z x) #s(literal 3 binary64)))) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1/3 (/ z (* x (pow y 2)))) (/ 1 y))
(/.f64 (fma.f64 (/.f64 (/.f64 z x) y) #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
(- (+ (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ 1 y)) (* 1/3 (/ z (* x (pow y 2)))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 z (/.f64 z x)) x) (/.f64 (fma.f64 (/.f64 (/.f64 z x) y) #s(literal -1/3 binary64) #s(literal 1 binary64)) y))
(- (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1/9 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z (* x (pow y 2))))))
(fma.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 z (/.f64 z x)) x) (/.f64 (fma.f64 (/.f64 (/.f64 z x) y) #s(literal -1/3 binary64) #s(literal 1 binary64)) y)))
(* 1/3 (/ z (* x y)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) z)
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(*.f64 (fma.f64 (/.f64 z (*.f64 (*.f64 (*.f64 x x) y) y)) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) z)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/.f64 (fma.f64 (/.f64 z y) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 #s(literal -1/9 binary64) (*.f64 z (/.f64 (/.f64 z y) y)))) x)) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 z y) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 #s(literal -1/9 binary64) (*.f64 z (/.f64 (/.f64 z y) y)))) x))) x)
(* 1/3 (/ (pow z 2) (* x y)))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) z) z)
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x)
(*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 (*.f64 (*.f64 x x) y) y)) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) z) z)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (*.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) y))) x)) x)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (*.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) y))) x))) x)
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* -3 (* x y))
(*.f64 #s(literal -3 binary64) (*.f64 x y))
(* -1 (* x (+ (* 3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 z x)))
(* -3 (* x (sqrt y)))
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 y) 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) (* 2/3 (/ (pow z 2) (* x y)))) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 (fma.f64 (*.f64 z (/.f64 (/.f64 z x) y)) #s(literal 2/3 binary64) (neg.f64 z)) (neg.f64 x))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow y 2))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -2/3 (/ (pow z 2) y))) x))) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 z (/.f64 z y)) (/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2/9 binary64)) (*.f64 y y)) (neg.f64 x))) (neg.f64 x)) z) (neg.f64 x))))
(+ (* -1 (/ (- (* -1/9 (/ (pow z 2) (* x (pow y 3)))) (* -1/3 (/ z (pow y 2)))) x)) (/ 1 y))
(+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 z (/.f64 z x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 z y) y))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 3) (* x (pow y 4)))) (* -1/9 (/ (pow z 2) (pow y 3)))) x)) (* -1/3 (/ z (pow y 2)))) x)) (/ 1 y))
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 z z)) (pow.f64 y #s(literal 3 binary64)))) x) #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 z y) y))) x) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 z (/.f64 z y)) (*.f64 #s(literal -1/3 binary64) (/.f64 z x))) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(/.f64 (fma.f64 (/.f64 z y) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 #s(literal -1/9 binary64) (*.f64 z (/.f64 (/.f64 z y) y)))) (neg.f64 x))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
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(*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -3 binary64) #s(literal 1 binary64)) z)
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x z)) #s(literal 9 binary64)) (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 y y) z))) #s(literal -9 binary64) (*.f64 (*.f64 x y) #s(literal 3 binary64))) z)) z)
(* z (- (+ 1 (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))))
(*.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) #s(literal -27 binary64) (fma.f64 (*.f64 (*.f64 x (/.f64 x z)) #s(literal 9 binary64)) (/.f64 (*.f64 y y) z) #s(literal 1 binary64))) (fma.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) #s(literal 27 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 y y) z))) #s(literal -9 binary64) (*.f64 (*.f64 x y) #s(literal 3 binary64))) z))) z)
(/ (+ (* -9 (/ (* (pow x 2) y) z)) (* 3 x)) z)
(/.f64 (fma.f64 (*.f64 x (*.f64 y (/.f64 x z))) #s(literal -9 binary64) (*.f64 #s(literal 3 binary64) x)) z)
(/ (+ (* -9 (/ (* (pow x 2) y) z)) (+ (* 3 x) (* 27 (/ (* (pow x 3) (pow y 2)) (pow z 2))))) z)
(/.f64 (fma.f64 #s(literal 3 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) y) (*.f64 x x) (*.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 y y) z))) z)) z)
(/ (+ (* -81 (/ (* (pow x 4) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) y) z)) (+ (* 3 x) (* 27 (/ (* (pow x 3) (pow y 2)) (pow z 2)))))) z)
(/.f64 (fma.f64 (*.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) y) (*.f64 x x) (*.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 y y) z))) z))) z)
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 y y) z))) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y))) z))
(- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))
(fma.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) #s(literal -27 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 y y) z))) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y))) z)))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))
(+.f64 z (*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 y y) z))) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y))) z) z))
(* z (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(*.f64 (fma.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) #s(literal -27 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 y y) z))) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y))) z))) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(*.f64 (fma.f64 (*.f64 y (/.f64 x 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 y (/.f64 x z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(*.f64 (-.f64 (*.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal -18 binary64)) z) #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y))) (neg.f64 z)) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -9 (* (pow x 2) (pow y 2))) (* -1 (/ (- (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -54 binary64)) z) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal -18 binary64))) z) #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y))) (neg.f64 z)) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (/ (+ (* -3 x) (* 9 (/ (* (pow x 2) y) z))) z))
(/.f64 (fma.f64 (*.f64 x (*.f64 y (/.f64 x z))) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) x)) (neg.f64 z))
(* -1 (/ (+ (* -3 x) (* -1 (/ (+ (* -9 (* (pow x 2) y)) (* 27 (/ (* (pow x 3) (pow y 2)) z))) z))) z))
(/.f64 (fma.f64 #s(literal -3 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) y) (*.f64 x x) (*.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 y y) z))) (neg.f64 z))) (neg.f64 z))
(* -1 (/ (+ (* -3 x) (* -1 (/ (+ (* -9 (* (pow x 2) y)) (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 2))) (* 81 (/ (* (pow x 4) (pow y 3)) z))) z))) z))) z))
(/.f64 (fma.f64 #s(literal -3 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) y) (*.f64 x x) (/.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) (neg.f64 z))) (neg.f64 z))) (neg.f64 z))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 y y) z))) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y))) z))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) z) #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 9 binary64))) z) #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal 3 binary64))) z))
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 y y) z))) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y))) (neg.f64 z)) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) z) #s(literal 27 binary64) (*.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 x x) y) y))) z) #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y))) (neg.f64 z)) #s(literal 1 binary64)) (neg.f64 z))

rewrite308.0ms (5.5%)

Memory
3.9MiB live, 522.3MiB allocated; 89ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034189
060161
1190150
21079144
08816143
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 396
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)
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y)) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y))
(sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y)) (sqrt.f64 #s(literal 3 binary64))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y))
(*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y)
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) (/.f64 (*.f64 #s(literal 3 binary64) x) (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 y (*.f64 #s(literal 3 binary64) x)) y)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
Outputs
(*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)))) (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)))
(*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (-.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (fma.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (-.f64 z (*.f64 (*.f64 x #s(literal 3 binary64)) y)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z))) (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 (/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))) z) (*.f64 (neg.f64 (/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))) z))) (/.f64 (fma.f64 z z (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64))) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) #s(literal 3 binary64))) (pow.f64 (*.f64 (neg.f64 (/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))) z) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (neg.f64 (/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))) z) (*.f64 (neg.f64 (/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))) z)) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) (*.f64 (neg.f64 (/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))) z)))))
(/.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) #s(literal 3 binary64))) (neg.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) z) #s(literal 3 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) z) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64))) (*.f64 z z)) (pow.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y) (*.f64 z z)) (neg.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y) (*.f64 #s(literal -3 binary64) x) (*.f64 z z)) (neg.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64))) (*.f64 z z)) (neg.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64))))))
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(*.f64 (/.f64 (*.f64 z z) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z))) (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z))
(*.f64 (/.f64 (*.f64 z z) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (-.f64 z (*.f64 (*.f64 x #s(literal 3 binary64)) y)))))
(*.f64 (/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) z)
(*.f64 z (/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)))
(/.f64 (neg.f64 (*.f64 z (neg.f64 z))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))))
(/.f64 (neg.f64 (neg.f64 (*.f64 z z))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) z)) (neg.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))))
(/.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 z z) (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 z z) (neg.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))))
(/.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) (*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (*.f64 z z)))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (pow.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) #s(literal 2 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (/.f64 (fma.f64 z z (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64))) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))))
(/.f64 (*.f64 (*.f64 z z) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)))
(/.f64 (*.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 4 binary64)) (pow.f64 (*.f64 z (-.f64 z (*.f64 (*.f64 x #s(literal 3 binary64)) y))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 (*.f64 x #s(literal 3 binary64)) y))))))
(/.f64 (*.f64 (*.f64 z z) (+.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 6 binary64)) (pow.f64 (*.f64 z (-.f64 z (*.f64 (*.f64 x #s(literal 3 binary64)) y))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 z (-.f64 z (*.f64 (*.f64 x #s(literal 3 binary64)) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 (*.f64 x #s(literal 3 binary64)) y))))))))
(/.f64 (*.f64 z (neg.f64 z)) (neg.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)))
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)))
(/.f64 (neg.f64 (*.f64 z z)) (neg.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)))
(/.f64 (*.f64 z z) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))

eval125.0ms (2.2%)

Memory
29.4MiB live, 300.6MiB allocated; 37ms collecting garbage
Compiler

Compiled 39 040 to 2 847 computations (92.7% saved)

prune15.0ms (0.3%)

Memory
16.8MiB live, 63.3MiB allocated; 2ms collecting garbage
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New9183921
Fresh213
Picked325
Done011
Total9237930
Accuracy
100.0%
Counts
930 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(-.f64 (*.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal 3 binary64))) z)
99.8%
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
99.8%
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
99.8%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
88.9%
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
87.0%
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x))
48.9%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 78 to 67 computations (14.1% saved)

simplify118.0ms (2.1%)

Memory
-48.0MiB live, 152.3MiB allocated; 29ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

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

Useful iterations: 4 (0.0ms)

IterNodesCost
027151
045143
176143
2142143
3318143
4985131
52822131
65530131
08131131
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x))
#s(literal 3 binary64)
y
(/.f64 (neg.f64 z) x)
(neg.f64 z)
z
x
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
(*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
(fma.f64 (*.f64 y (/.f64 x z)) #s(literal -3 binary64) #s(literal 1 binary64))
(*.f64 y (/.f64 x z))
y
(/.f64 x z)
x
z
#s(literal -3 binary64)
#s(literal 1 binary64)
(neg.f64 z)
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
y
x
#s(literal 3 binary64)
z
(-.f64 (*.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal 3 binary64))) z)
(*.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 y (*.f64 (sqrt.f64 #s(literal 3 binary64)) x))
y
(*.f64 (sqrt.f64 #s(literal 3 binary64)) x)
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
x
z
Outputs
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x))
#s(approx (- (* (* y 3) x) z) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x) y z)))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x) y z))
(fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x))
#s(literal 3 binary64)
y
(/.f64 (neg.f64 z) x)
(neg.f64 z)
z
x
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
#s(approx (- (* (* y 3) x) z) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x) y z)))
(*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
(neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x) y z))
(fma.f64 (*.f64 y (/.f64 x z)) #s(literal -3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 (/.f64 x z) y) #s(literal 1 binary64))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x z) y)
y
(/.f64 x z)
x
z
#s(literal -3 binary64)
#s(literal 1 binary64)
(neg.f64 z)
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
(neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x) y z))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 3 binary64)
z
(-.f64 (*.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal 3 binary64))) z)
(neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x) y z))
(*.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 y (*.f64 (sqrt.f64 #s(literal 3 binary64)) x))
(*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) x) y)
y
(*.f64 (sqrt.f64 #s(literal 3 binary64)) x)
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
x
z

localize413.0ms (7.3%)

Memory
16.8MiB live, 152.9MiB allocated; 35ms collecting garbage
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 (*.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal 3 binary64))) z)
accuracy0.1875
(*.f64 y (*.f64 (sqrt.f64 #s(literal 3 binary64)) x))
accuracy0.336601269536884
(*.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal 3 binary64)))
accuracy0.33984375
(*.f64 (sqrt.f64 #s(literal 3 binary64)) x)
accuracy0.0
(*.f64 y x)
accuracy0.00390625
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
accuracy0.26171875
(*.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy0.0
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
accuracy0.10546875
(fma.f64 (*.f64 y (/.f64 x z)) #s(literal -3 binary64) #s(literal 1 binary64))
accuracy3.6484151056315532
(*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
accuracy5.667705128069869
(*.f64 y (/.f64 x z))
accuracy0.0
(neg.f64 z)
accuracy0.0
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x))
accuracy0.0390625
(fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x))
accuracy8.331004595798621
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
Samples
364.0ms234×0valid
13.0ms3valid
4.0ms10×1valid
3.0ms2valid
Compiler

Compiled 135 to 29 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 367.0ms
ival-mult: 340.0ms (92.6% of total)
adjust: 13.0ms (3.5% of total)
ival-div: 4.0ms (1.1% of total)
ival-sub: 4.0ms (1.1% of total)
ival-add: 3.0ms (0.8% of total)
ival-sqrt: 2.0ms (0.5% of total)
ival-neg: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series37.0ms (0.7%)

Memory
16.4MiB live, 60.0MiB allocated; 13ms collecting garbage
Counts
16 → 39
Calls
Call 1
Inputs
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x))
(fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x))
(/.f64 (neg.f64 z) x)
(*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
(fma.f64 (*.f64 y (/.f64 x z)) #s(literal -3 binary64) #s(literal 1 binary64))
(*.f64 y (/.f64 x z))
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
(*.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal 3 binary64))) z)
(*.f64 y (*.f64 (sqrt.f64 #s(literal 3 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) x)
(neg.f64 z)
Outputs
(* -1 z)
(+ (* -1 z) (* 3 (* x y)))
(- (* 3 (* x y)) z)
(* -1 (/ z x))
(/ (+ (* -1 z) (* 3 (* x y))) x)
1
(+ 1 (* -3 (/ (* x y) z)))
(/ (* x y) z)
(* 3 (* x y))
(* x y)
(* x (* y (pow (sqrt 3) 2)))
(- (* x (* y (pow (sqrt 3) 2))) z)
(* x (* y (sqrt 3)))
(* x (sqrt 3))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 y)
(+ (* -1 (/ z x)) (* 3 y))
(* -3 (/ (* x y) z))
(* x (+ (* -3 (/ y z)) (/ 1 x)))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (- (* 3 (/ y z)) (/ 1 x))))
(* -1 (* x (+ (* -1 (* y (pow (sqrt 3) 2))) (/ z x))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ 3 (* -1 (/ z (* x y)))))
(* y (+ (* -3 (/ x z)) (/ 1 y)))
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (- (/ z (* x y)) 3)))
(* -1 (* y (- (* 3 (/ x z)) (/ 1 y))))
(* -1 (* y (+ (* -1 (* x (pow (sqrt 3) 2))) (/ z y))))
(/ (+ z (* -3 (* x y))) z)
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ y z)) (/ 1 x)))
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ (* -3 (/ y z)) (/ 1 x))))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
Calls

9 calls:

TimeVariablePointExpression
11.0ms
y
@-inf
((* (+ (* 3 y) (/ (neg z) x)) x) (- (* (* y 3) x) z) (+ (* 3 y) (/ (neg z) x)) (/ (neg z) x) (* (+ (* (* y (/ x z)) -3) 1) (neg z)) (- (* (* y 3) x) z) (+ (* (* y (/ x z)) -3) 1) (* y (/ x z)) (- (* (* y x) 3) z) (* (* y x) 3) (* y x) (* (* y (* (sqrt 3) x)) (sqrt 3)) (- (* (* y (* (sqrt 3) x)) (sqrt 3)) z) (* y (* (sqrt 3) x)) (* (sqrt 3) x) (neg z))
7.0ms
x
@inf
((* (+ (* 3 y) (/ (neg z) x)) x) (- (* (* y 3) x) z) (+ (* 3 y) (/ (neg z) x)) (/ (neg z) x) (* (+ (* (* y (/ x z)) -3) 1) (neg z)) (- (* (* y 3) x) z) (+ (* (* y (/ x z)) -3) 1) (* y (/ x z)) (- (* (* y x) 3) z) (* (* y x) 3) (* y x) (* (* y (* (sqrt 3) x)) (sqrt 3)) (- (* (* y (* (sqrt 3) x)) (sqrt 3)) z) (* y (* (sqrt 3) x)) (* (sqrt 3) x) (neg z))
3.0ms
x
@-inf
((* (+ (* 3 y) (/ (neg z) x)) x) (- (* (* y 3) x) z) (+ (* 3 y) (/ (neg z) x)) (/ (neg z) x) (* (+ (* (* y (/ x z)) -3) 1) (neg z)) (- (* (* y 3) x) z) (+ (* (* y (/ x z)) -3) 1) (* y (/ x z)) (- (* (* y x) 3) z) (* (* y x) 3) (* y x) (* (* y (* (sqrt 3) x)) (sqrt 3)) (- (* (* y (* (sqrt 3) x)) (sqrt 3)) z) (* y (* (sqrt 3) x)) (* (sqrt 3) x) (neg z))
3.0ms
x
@0
((* (+ (* 3 y) (/ (neg z) x)) x) (- (* (* y 3) x) z) (+ (* 3 y) (/ (neg z) x)) (/ (neg z) x) (* (+ (* (* y (/ x z)) -3) 1) (neg z)) (- (* (* y 3) x) z) (+ (* (* y (/ x z)) -3) 1) (* y (/ x z)) (- (* (* y x) 3) z) (* (* y x) 3) (* y x) (* (* y (* (sqrt 3) x)) (sqrt 3)) (- (* (* y (* (sqrt 3) x)) (sqrt 3)) z) (* y (* (sqrt 3) x)) (* (sqrt 3) x) (neg z))
2.0ms
y
@0
((* (+ (* 3 y) (/ (neg z) x)) x) (- (* (* y 3) x) z) (+ (* 3 y) (/ (neg z) x)) (/ (neg z) x) (* (+ (* (* y (/ x z)) -3) 1) (neg z)) (- (* (* y 3) x) z) (+ (* (* y (/ x z)) -3) 1) (* y (/ x z)) (- (* (* y x) 3) z) (* (* y x) 3) (* y x) (* (* y (* (sqrt 3) x)) (sqrt 3)) (- (* (* y (* (sqrt 3) x)) (sqrt 3)) z) (* y (* (sqrt 3) x)) (* (sqrt 3) x) (neg z))

simplify153.0ms (2.7%)

Memory
3.3MiB live, 187.8MiB allocated; 50ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100287
1324265
21045253
32829253
45591253
57780253
08030247
Stop Event
iter limit
node limit
Counts
39 → 39
Calls
Call 1
Inputs
(* -1 z)
(+ (* -1 z) (* 3 (* x y)))
(- (* 3 (* x y)) z)
(* -1 (/ z x))
(/ (+ (* -1 z) (* 3 (* x y))) x)
1
(+ 1 (* -3 (/ (* x y) z)))
(/ (* x y) z)
(* 3 (* x y))
(* x y)
(* x (* y (pow (sqrt 3) 2)))
(- (* x (* y (pow (sqrt 3) 2))) z)
(* x (* y (sqrt 3)))
(* x (sqrt 3))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 y)
(+ (* -1 (/ z x)) (* 3 y))
(* -3 (/ (* x y) z))
(* x (+ (* -3 (/ y z)) (/ 1 x)))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (- (* 3 (/ y z)) (/ 1 x))))
(* -1 (* x (+ (* -1 (* y (pow (sqrt 3) 2))) (/ z x))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ 3 (* -1 (/ z (* x y)))))
(* y (+ (* -3 (/ x z)) (/ 1 y)))
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (- (/ z (* x y)) 3)))
(* -1 (* y (- (* 3 (/ x z)) (/ 1 y))))
(* -1 (* y (+ (* -1 (* x (pow (sqrt 3) 2))) (/ z y))))
(/ (+ z (* -3 (* x y))) z)
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ y z)) (/ 1 x)))
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ (* -3 (/ y z)) (/ 1 x))))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
Outputs
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (/ z x))
(/.f64 (neg.f64 z) x)
(/ (+ (* -1 z) (* 3 (* x y))) x)
(fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x))
1
#s(literal 1 binary64)
(+ 1 (* -3 (/ (* x y) z)))
(fma.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64) #s(literal 1 binary64))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(* x y)
(*.f64 x y)
(* x (* y (pow (sqrt 3) 2)))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(- (* x (* y (pow (sqrt 3) 2))) z)
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* x (* y (sqrt 3)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) y) x)
(* x (sqrt 3))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) x)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(+ (* -1 (/ z x)) (* 3 y))
(fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x))
(* -3 (/ (* x y) z))
(*.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64))
(* x (+ (* -3 (/ y z)) (/ 1 x)))
(fma.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64) #s(literal 1 binary64))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* x (+ (* -3 y) (/ z x))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* x (- (* 3 (/ y z)) (/ 1 x))))
(fma.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64) #s(literal 1 binary64))
(* -1 (* x (+ (* -1 (* y (pow (sqrt 3) 2))) (/ z x))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* y (+ 3 (* -1 (/ z (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x))
(* y (+ (* -3 (/ x z)) (/ 1 y)))
(fma.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64) #s(literal 1 binary64))
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* y (+ (* -3 x) (/ z y))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* y (- (/ z (* x y)) 3)))
(fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x))
(* -1 (* y (- (* 3 (/ x z)) (/ 1 y))))
(fma.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64) #s(literal 1 binary64))
(* -1 (* y (+ (* -1 (* x (pow (sqrt 3) 2))) (/ z y))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(/ (+ z (* -3 (* x y))) z)
(fma.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64) #s(literal 1 binary64))
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* z (- (* 3 (/ y z)) (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x))
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* z (+ (* -3 (/ y z)) (/ 1 x))))
(fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))

rewrite299.0ms (5.3%)

Memory
-8.8MiB live, 285.5MiB allocated; 70ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027127
045119
1139119
2910119
08961117
Stop Event
iter limit
node limit
iter limit
Counts
16 → 460
Calls
Call 1
Inputs
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x))
(fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x))
(/.f64 (neg.f64 z) x)
(*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
(fma.f64 (*.f64 y (/.f64 x z)) #s(literal -3 binary64) #s(literal 1 binary64))
(*.f64 y (/.f64 x z))
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
(*.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal 3 binary64))) z)
(*.f64 y (*.f64 (sqrt.f64 #s(literal 3 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) x)
(neg.f64 z)
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) x) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 z x) #s(literal 3 binary64)))) (fma.f64 (*.f64 y y) #s(literal 9 binary64) (*.f64 (/.f64 (neg.f64 z) x) (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) x) (-.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))) (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 z) x) #s(literal 3 binary64))) x) (-.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))) #s(literal 2 binary64)))) (fma.f64 (*.f64 y y) #s(literal 9 binary64) (*.f64 (/.f64 z x) (-.f64 (/.f64 (neg.f64 z) x) (*.f64 y #s(literal 3 binary64))))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 z) x) #s(literal 3 binary64))) x) (+.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 4 binary64)) (*.f64 (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))) (-.f64 (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))) (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 z x) #s(literal 3 binary64)))) (fma.f64 (*.f64 y y) #s(literal 9 binary64) (*.f64 (/.f64 (neg.f64 z) x) (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)))))
(*.f64 (/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))) (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)))
(*.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 z) x) #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))) #s(literal 2 binary64)))) (fma.f64 (*.f64 y y) #s(literal 9 binary64) (*.f64 (/.f64 z x) (-.f64 (/.f64 (neg.f64 z) x) (*.f64 y #s(literal 3 binary64))))))
(*.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 z) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 4 binary64)) (*.f64 (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))) (-.f64 (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))) (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) (/.f64 x (-.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 (neg.f64 z) x))))
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 z) x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (*.f64 y y) #s(literal 9 binary64) (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))))
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)
(*.f64 x (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))) x) (-.f64 (/.f64 (neg.f64 z) x) (*.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))) x) (neg.f64 (-.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 (neg.f64 z) x))))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 z) x) #s(literal 3 binary64)))) x) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)))) (-.f64 (/.f64 (neg.f64 z) x) (*.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 (neg.f64 z) x))))
(/.f64 (*.f64 x (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 z) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (neg.f64 z) x) x) (*.f64 (/.f64 (neg.f64 z) x) x)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64))) (-.f64 (*.f64 (/.f64 (neg.f64 z) x) x) (*.f64 (*.f64 x #s(literal 3 binary64)) y)))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 (neg.f64 z) x)) (*.f64 x (/.f64 (neg.f64 z) x))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64))) (-.f64 (*.f64 x (/.f64 (neg.f64 z) x)) (*.f64 (*.f64 x #s(literal 3 binary64)) y)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 (/.f64 (neg.f64 z) x) x) (*.f64 (/.f64 (neg.f64 z) x) x))) (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) (*.f64 (/.f64 (neg.f64 z) x) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 x (/.f64 (neg.f64 z) x)) (*.f64 x (/.f64 (neg.f64 z) x)))) (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) (*.f64 x (/.f64 (neg.f64 z) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 z) x) x) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (*.f64 (/.f64 (neg.f64 z) x) x) (*.f64 (/.f64 (neg.f64 z) x) x) (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 (/.f64 (neg.f64 z) x) x) (*.f64 (*.f64 x #s(literal 3 binary64)) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (neg.f64 z) x)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (*.f64 x (/.f64 (neg.f64 z) x)) (*.f64 x (/.f64 (neg.f64 z) x)) (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 x (/.f64 (neg.f64 z) x)) (*.f64 (*.f64 x #s(literal 3 binary64)) y)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 (*.f64 (/.f64 (neg.f64 z) x) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 (/.f64 (neg.f64 z) x) x) (*.f64 (/.f64 (neg.f64 z) x) x)) (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) (*.f64 (/.f64 (neg.f64 z) x) x)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 (*.f64 x (/.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 x (/.f64 (neg.f64 z) x)) (*.f64 x (/.f64 (neg.f64 z) x))) (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) (*.f64 x (/.f64 (neg.f64 z) x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) x)) (neg.f64 (-.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 (neg.f64 z) x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 z) x) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 (neg.f64 z) x))))
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(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)))
(-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (*.f64 z (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))))
(-.f64 (*.f64 #s(literal 27 binary64) (/.f64 (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 y #s(literal 3 binary64)) x 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 y #s(literal 3 binary64)) x z)))))
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(+.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)))
(*.f64 (*.f64 (*.f64 x y) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (*.f64 x y)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) y) x)
(*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) x) y)
(*.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 x y))
(*.f64 (*.f64 x y) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 x (*.f64 (sqrt.f64 #s(literal 3 binary64)) y))
(*.f64 y (*.f64 (sqrt.f64 #s(literal 3 binary64)) x))
(*.f64 (*.f64 x (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (neg.f64 z))
(*.f64 (neg.f64 z) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal 1 binary64) z))
(neg.f64 (*.f64 z #s(literal 1 binary64)))
(neg.f64 z)

eval80.0ms (1.4%)

Memory
22.8MiB live, 110.5MiB allocated; 13ms collecting garbage
Compiler

Compiled 15 615 to 1 588 computations (89.8% saved)

prune38.0ms (0.7%)

Memory
-37.1MiB live, 23.4MiB allocated; 10ms collecting garbage
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New4132415
Fresh000
Picked044
Done033
Total4139422
Accuracy
100.0%
Counts
422 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(-.f64 (*.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal 3 binary64))) z)
99.8%
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
99.8%
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
99.8%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
88.9%
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
88.6%
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
87.0%
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x))
52.5%
#s(approx (- (* (* y 3) x) z) (*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x))
48.9%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 119 to 98 computations (17.6% saved)

simplify132.0ms (2.3%)

Memory
19.6MiB live, 110.4MiB allocated; 10ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 5 (0.0ms)

IterNodesCost
023107
031107
151107
2100107
3227107
4738104
5238396
6453596
7553796
8564396
9567196
10574696
11582196
12582996
13582996
14749896
0820496
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (* (* y 3) x) z) (*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x))
(*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x)
#s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
x
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
(*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
(fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
x
(/.f64 y z)
y
z
#s(literal -3 binary64)
#s(literal 1 binary64)
(neg.f64 z)
Outputs
#s(approx (- (* (* y 3) x) z) (*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x))
(*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x)
#s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
x
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
#s(approx (- (* (* y 3) x) z) (fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z)))
(*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 y z) x)
x
(/.f64 y z)
y
z
#s(literal -3 binary64)
#s(literal 1 binary64)
(neg.f64 z)

localize96.0ms (1.7%)

Memory
0.0MiB live, 136.6MiB allocated; 22ms collecting garbage
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
accuracy0.10546875
(fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64))
accuracy3.6484151056315532
(*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
accuracy5.777773986037635
(*.f64 x (/.f64 y z))
accuracy0.0
(*.f64 #s(literal 3 binary64) y)
accuracy0.0
#s(approx (- (* (* y 3) x) z) (*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x))
accuracy8.331004595798621
(*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x)
accuracy30.505630682405048
#s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y))
Samples
75.0ms234×0valid
2.0ms10×1valid
2.0ms2valid
2.0ms3valid
Compiler

Compiled 76 to 21 computations (72.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 48.0ms (69.3% of total)
ival-div: 14.0ms (20.2% of total)
ival-add: 3.0ms (4.3% of total)
adjust: 2.0ms (2.9% of total)
ival-sub: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-1.1MiB live, 45.2MiB allocated; 4ms collecting garbage
Counts
8 → 27
Calls
Call 1
Inputs
#s(approx (- (* (* y 3) x) z) (*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x))
(*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x)
#s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)
(*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
(fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
Outputs
(* -1 z)
(- (* 3 (* x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(* -1 (/ z x))
(/ (+ (* -1 z) (* 3 (* x y))) x)
1
(+ 1 (* -3 (/ (* x y) z)))
(/ (* x y) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 y)
(+ (* -1 (/ z x)) (* 3 y))
(* -3 (/ (* x y) z))
(* x (+ (* -3 (/ y z)) (/ 1 x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (- (* 3 (/ y z)) (/ 1 x))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ 3 (* -1 (/ z (* x y)))))
(* y (+ (* -3 (/ x z)) (/ 1 y)))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (- (/ z (* x y)) 3)))
(* -1 (* y (- (* 3 (/ x z)) (/ 1 y))))
(/ (+ z (* -3 (* x y))) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ y z)) (/ 1 x)))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ (* -3 (/ y z)) (/ 1 x))))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
z
@inf
((- (* (* y 3) x) z) (* (+ (* 3 y) (/ (neg z) x)) x) (+ (* 3 y) (/ (neg z) x)) (* 3 y) (* (+ (* (* x (/ y z)) -3) 1) (neg z)) (- (* (* y 3) x) z) (+ (* (* x (/ y z)) -3) 1) (* x (/ y z)))
1.0ms
z
@-inf
((- (* (* y 3) x) z) (* (+ (* 3 y) (/ (neg z) x)) x) (+ (* 3 y) (/ (neg z) x)) (* 3 y) (* (+ (* (* x (/ y z)) -3) 1) (neg z)) (- (* (* y 3) x) z) (+ (* (* x (/ y z)) -3) 1) (* x (/ y z)))
1.0ms
y
@-inf
((- (* (* y 3) x) z) (* (+ (* 3 y) (/ (neg z) x)) x) (+ (* 3 y) (/ (neg z) x)) (* 3 y) (* (+ (* (* x (/ y z)) -3) 1) (neg z)) (- (* (* y 3) x) z) (+ (* (* x (/ y z)) -3) 1) (* x (/ y z)))
1.0ms
y
@inf
((- (* (* y 3) x) z) (* (+ (* 3 y) (/ (neg z) x)) x) (+ (* 3 y) (/ (neg z) x)) (* 3 y) (* (+ (* (* x (/ y z)) -3) 1) (neg z)) (- (* (* y 3) x) z) (+ (* (* x (/ y z)) -3) 1) (* x (/ y z)))
1.0ms
x
@-inf
((- (* (* y 3) x) z) (* (+ (* 3 y) (/ (neg z) x)) x) (+ (* 3 y) (/ (neg z) x)) (* 3 y) (* (+ (* (* x (/ y z)) -3) 1) (neg z)) (- (* (* y 3) x) z) (+ (* (* x (/ y z)) -3) 1) (* x (/ y z)))

simplify201.0ms (3.6%)

Memory
23.9MiB live, 211.1MiB allocated; 23ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070197
1222191
2689179
32006179
45035179
57932179
08035173
Stop Event
iter limit
node limit
Counts
27 → 27
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(* -1 (/ z x))
(/ (+ (* -1 z) (* 3 (* x y))) x)
1
(+ 1 (* -3 (/ (* x y) z)))
(/ (* x y) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 y)
(+ (* -1 (/ z x)) (* 3 y))
(* -3 (/ (* x y) z))
(* x (+ (* -3 (/ y z)) (/ 1 x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (- (* 3 (/ y z)) (/ 1 x))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ 3 (* -1 (/ z (* x y)))))
(* y (+ (* -3 (/ x z)) (/ 1 y)))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (- (/ z (* x y)) 3)))
(* -1 (* y (- (* 3 (/ x z)) (/ 1 y))))
(/ (+ z (* -3 (* x y))) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ y z)) (/ 1 x)))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ (* -3 (/ y z)) (/ 1 x))))
Outputs
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* -1 (/ z x))
(/.f64 (neg.f64 z) x)
(/ (+ (* -1 z) (* 3 (* x y))) x)
(fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x))
1
#s(literal 1 binary64)
(+ 1 (* -3 (/ (* x y) z)))
(fma.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64) #s(literal 1 binary64))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* 3 (* x y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(+ (* -1 (/ z x)) (* 3 y))
(fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x))
(* -3 (/ (* x y) z))
(*.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64))
(* x (+ (* -3 (/ y z)) (/ 1 x)))
(fma.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64) #s(literal 1 binary64))
(* -1 (* x (+ (* -3 y) (/ z x))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* -1 (* x (- (* 3 (/ y z)) (/ 1 x))))
(fma.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64) #s(literal 1 binary64))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* y (+ 3 (* -1 (/ z (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x))
(* y (+ (* -3 (/ x z)) (/ 1 y)))
(fma.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64) #s(literal 1 binary64))
(* -1 (* y (+ (* -3 x) (/ z y))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* -1 (* y (- (/ z (* x y)) 3)))
(fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x))
(* -1 (* y (- (* 3 (/ x z)) (/ 1 y))))
(fma.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64) #s(literal 1 binary64))
(/ (+ z (* -3 (* x y))) z)
(fma.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64) #s(literal 1 binary64))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* z (- (* 3 (/ y z)) (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* -1 (* z (+ (* -3 (/ y z)) (/ 1 x))))
(fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x))

rewrite240.0ms (4.3%)

Memory
-12.9MiB live, 305.5MiB allocated; 105ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02394
03194
19394
258594
3622394
0821989
Stop Event
iter limit
node limit
iter limit
Counts
8 → 135
Calls
Call 1
Inputs
#s(approx (- (* (* y 3) x) z) (*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x))
(*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x)
#s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)
(*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
(fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
Outputs
#s(approx (- (* (* y 3) x) z) (*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x))
(*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x)
(*.f64 x #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 z)) (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 9 binary64) (*.f64 (/.f64 y z) x) #s(literal -3 binary64)) #s(literal 1 binary64)))
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eval227.0ms (4%)

Memory
-12.6MiB live, 33.6MiB allocated; 3ms collecting garbage
Compiler

Compiled 5 093 to 588 computations (88.5% saved)

prune11.0ms (0.2%)

Memory
-22.8MiB live, 21.6MiB allocated; 4ms collecting garbage
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New1432145
Fresh000
Picked022
Done077
Total14311154
Accuracy
100.0%
Counts
154 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(-.f64 (*.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal 3 binary64))) z)
99.8%
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
99.8%
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
99.8%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
82.5%
#s(approx (- (* (* y 3) x) z) (fma.f64 (/.f64 y z) (*.f64 (*.f64 #s(literal -3 binary64) x) (neg.f64 z)) (neg.f64 z)))
88.9%
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
88.6%
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
87.0%
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x))
52.5%
#s(approx (- (* (* y 3) x) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
52.5%
#s(approx (- (* (* y 3) x) z) (*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x))
48.9%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 401 to 205 computations (48.9% saved)

regimes29.0ms (0.5%)

Memory
22.7MiB live, 68.4MiB allocated; 3ms collecting garbage
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* y 3) x) z) (*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x))
#s(approx (- (* (* y 3) x) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x))
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
#s(approx (- (* (* y 3) x) z) (*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
#s(approx (- (* (* y 3) x) z) (fma.f64 (/.f64 y z) (*.f64 (*.f64 #s(literal -3 binary64) x) (neg.f64 z)) (neg.f64 z)))
(-.f64 (*.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal 3 binary64))) z)
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y)) z)
(-.f64 (*.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x))) (sqrt.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)))) z)
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) y)) (sqrt.f64 #s(literal 3 binary64))) z)
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) (/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
Outputs
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
Calls

6 calls:

6.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
4.0ms
z
4.0ms
(*.f64 x #s(literal 3 binary64))
4.0ms
y
4.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
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 (0.3%)

Memory
-20.8MiB live, 32.7MiB allocated; 5ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* y 3) x) z) (*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x))
#s(approx (- (* (* y 3) x) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Calls

6 calls:

4.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
2.0ms
z
2.0ms
(*.f64 x #s(literal 3 binary64))
2.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
2.0ms
y
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)

regimes10.0ms (0.2%)

Memory
23.3MiB live, 23.3MiB allocated; 0ms collecting garbage
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* y 3) x) z) (*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x))
#s(approx (- (* (* y 3) x) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
Outputs
#s(approx (- (* (* y 3) x) z) (*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* y 3) x) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
Calls

6 calls:

2.0ms
x
2.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
2.0ms
z
2.0ms
(*.f64 x #s(literal 3 binary64))
2.0ms
y
Results
AccuracySegmentsBranch
76.8%3(*.f64 x #s(literal 3 binary64))
81.3%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
69.9%7(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
76.8%3x
69.6%3y
75.9%3z
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes2.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* y 3) x) z) (*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x))
Outputs
#s(approx (- (* (* y 3) x) z) (*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* y 3) x) z) (*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x))
Calls

1 calls:

1.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Results
AccuracySegmentsBranch
81.3%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 5 to 6 computations (-20% saved)

regimes9.0ms (0.2%)

Memory
-25.6MiB live, 19.8MiB allocated; 4ms collecting garbage
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:

3.0ms
z
1.0ms
y
1.0ms
(*.f64 x #s(literal 3 binary64))
1.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
1.0ms
x
Results
AccuracySegmentsBranch
48.9%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
48.9%1y
48.9%1z
48.9%1(*.f64 x #s(literal 3 binary64))
48.9%1x
48.9%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 18 to 27 computations (-50% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.79280924089423e-12
9.24888940190148e-10
0.0ms
-0.35250645188758645
-5.099741435098772e-10
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.79280924089423e-12
9.24888940190148e-10
0.0ms
-0.35250645188758645
-5.099741435098772e-10
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify16.0ms (0.3%)

Memory
36.4MiB live, 36.4MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035134
155134
270134
379134
491134
5107134
6133134
7160134
8177134
9180134
10188134
11191134
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)
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (- (* (* y 3) x) z) (*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* y 3) x) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (- (* (* y 3) x) z) (*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* y 3) x) z) (*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.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)
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (- (* (* y 3) x) z) (*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* y 3) x) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (- (* (* y 3) x) z) (*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- (* (* y 3) x) z) (neg.f64 z)) #s(approx (- (* (* y 3) x) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (- (* (* y 3) x) z) (*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* y 3) x) z) (*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x))))
(if (or (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -3602879701896397/18014398509481984 binary64)) (not (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 6189700196426901/618970019642690137449562112 binary64)))) #s(approx (- (* (* y 3) x) z) (*.f64 #s(approx (+ (* 3 y) (/ (neg z) x)) (*.f64 #s(literal 3 binary64) y)) x)) #s(approx (- (* (* y 3) x) z) (neg.f64 z)))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* y 3) x) z) (neg.f64 z))

derivations685.0ms (12.1%)

Memory
-24.7MiB live, 631.8MiB allocated; 125ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070197
1222191
2689179
32006179
45035179
57932179
08035173
07473052
124322923
086102754
0715
01015
12615
216415
3175815
0873114
03866
112166
240266
3111766
4303866
5489266
6596966
7617966
8710966
0852766
0100287
1324265
21045253
32829253
45591253
57780253
08030247
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 134 to 34 computations (74.6% saved)

preprocess82.0ms (1.4%)

Memory
13.0MiB live, 157.3MiB allocated; 14ms collecting garbage
Remove

(sort x y)

Compiler

Compiled 338 to 138 computations (59.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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