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

Time bar (total: 5.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 9 computations (0% saved)

sample630.0ms (12.4%)

Memory
-0.8MiB live, 824.3MiB allocated
Samples
387.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 171.0ms
ival-mult: 117.0ms (68.5% of total)
ival-sub: 39.0ms (22.8% of total)
ival-true: 6.0ms (3.5% of total)
exact: 5.0ms (2.9% of total)
ival-assert: 3.0ms (1.8% of total)
Bogosity

explain75.0ms (1.5%)

Memory
-15.6MiB live, 106.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
00-0-(*.f64 (*.f64 x #s(literal 3 binary64)) y)
00-0-y
00-0-#s(literal 3 binary64)
00-0-(*.f64 x #s(literal 3 binary64))
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
24.0ms512×0valid
Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (67.6% of total)
ival-sub: 2.0ms (19.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess44.0ms (0.9%)

Memory
29.9MiB live, 68.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02669
16963
216963
341463
481263
5106363
6112963
7112963
077
0107
1167
2287
3367
4637
51067
61907
73157
84177
94437
104517
04517
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)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
Symmetry

(sort x y)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.6MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Compiler

Compiled 7 to 7 computations (0% saved)

simplify15.0ms (0.3%)

Memory
-24.4MiB live, 14.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
01019
11619
22819
33619
46319
510619
619019
731519
841719
944319
1045119
045119
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)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 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

localize17.0ms (0.3%)

Memory
27.3MiB live, 27.3MiB allocated
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)
accuracy0.16796875
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Samples
12.0ms256×0valid
Compiler

Compiled 40 to 16 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (59.7% of total)
ival-sub: 1.0ms (19.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory
-40.4MiB live, 11.5MiB allocated
Counts
3 → 11
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
Outputs
(* -1 z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 x)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* -1 (* y (+ (* -3 x) (/ z y))))
(+ (* -1 z) (* 3 (* x y)))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
((- (* (* x 3) y) z) (* (* x 3) y) (* x 3))
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
y
@inf
((- (* (* x 3) y) z) (* (* x 3) y) (* x 3))

simplify106.0ms (2.1%)

Memory
11.8MiB live, 86.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03866
111866
233166
384166
4241566
5453866
6639866
7783266
0812766
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 y x) #s(literal 3 binary64) (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* -1 (* x (+ (* -3 y) (/ z x))))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* -1 (* y (+ (* -3 x) (/ z y))))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))

rewrite602.0ms (11.9%)

Memory
-8.4MiB live, 268.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
01015
12815
218415
3186215
0872815
Stop Event
iter limit
node limit
iter limit
Counts
3 → 256
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 (pow.f64 (/.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z z (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 81 binary64) (fma.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 2 binary64)) #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) #s(literal 19683 binary64) (pow.f64 z #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (fma.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 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 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 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) (fma.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z (neg.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)))))))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 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 (/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (pow.f64 (fma.f64 z z (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 81 binary64) (fma.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 2 binary64)) #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 z #s(literal 6 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))) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) #s(literal 19683 binary64) (pow.f64 z #s(literal 9 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))) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (fma.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.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))) (/.f64 #s(literal 1 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 (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))) (/.f64 #s(literal 1 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 (fma.f64 z z (neg.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 #s(literal 3 binary64) x) 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 #s(literal 1 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 (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 #s(literal 1 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 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))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 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)))) (/.f64 #s(literal 1 binary64) (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 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z (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 (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (fma.f64 z z (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (-.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) z) #s(literal -1 binary64)))))
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(-.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 6 binary64)) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 81 binary64) (fma.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 2 binary64)) #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 81 binary64) (fma.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 2 binary64)) #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 6 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 9 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (fma.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)))))) (/.f64 (pow.f64 z #s(literal 9 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (fma.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 4 binary64)) (fma.f64 z z (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 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (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 (/.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 81 binary64) (fma.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 2 binary64)) #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 81 binary64) (fma.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 2 binary64)) #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (*.f64 y (*.f64 #s(literal 3 binary64) x)))))) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (*.f64 y (*.f64 #s(literal 3 binary64) x)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 9 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (fma.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))))) (fma.f64 z z (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (*.f64 y (*.f64 #s(literal 3 binary64) x)))))) (/.f64 (/.f64 (pow.f64 z #s(literal 9 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (fma.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))))) (fma.f64 z z (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (*.f64 y (*.f64 #s(literal 3 binary64) x)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 z z (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (*.f64 y (*.f64 #s(literal 3 binary64) x)))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (*.f64 y (*.f64 #s(literal 3 binary64) x)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (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 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (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 9 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (fma.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 6 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 (pow.f64 z #s(literal 9 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (fma.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 6 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 #s(literal 0 binary64) (neg.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)))) (neg.f64 (-.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) z)))
(-.f64 (/.f64 (*.f64 z z) (neg.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (neg.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (neg.f64 (-.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) z)))
(-.f64 #s(literal 0 binary64) (-.f64 z (*.f64 y (*.f64 #s(literal 3 binary64) x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) z)))
(-.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 (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 y (*.f64 #s(literal 3 binary64) x)) z)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) z) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) z))
(+.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)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
(+.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))) (neg.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)))))
(+.f64 (neg.f64 z) (*.f64 y (*.f64 #s(literal 3 binary64) x)))
(+.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) (neg.f64 z))
(*.f64 (exp.f64 (log.f64 (*.f64 y x))) (exp.f64 (log.f64 #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (*.f64 y x))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 y #s(literal 3 binary64)))))
(*.f64 (exp.f64 (log.f64 (*.f64 y #s(literal 3 binary64)))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))) (exp.f64 (log.f64 y)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(*.f64 x (*.f64 y #s(literal 3 binary64)))
(pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 #s(literal 3 binary64) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal 0 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 0 binary64)))))
(fma.f64 (exp.f64 (log.f64 (*.f64 y x))) (exp.f64 (log.f64 #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (*.f64 y x))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 y #s(literal 3 binary64)))) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))) (exp.f64 (log.f64 y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 1 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x #s(literal 0 binary64))
(fma.f64 y (*.f64 #s(literal 3 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 y x) #s(literal 0 binary64))
(fma.f64 x (*.f64 y #s(literal 3 binary64)) #s(literal 0 binary64))
(-.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 0 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 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 0 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))

eval26.0ms (0.5%)

Memory
35.6MiB live, 35.6MiB allocated
Compiler

Compiled 9 686 to 719 computations (92.6% saved)

prune381.0ms (7.5%)

Memory
-19.8MiB live, 17.9MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2555260
Fresh000
Picked011
Done000
Total2556261
Accuracy
100.0%
Counts
261 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.9%
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
99.8%
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
99.9%
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
99.8%
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
54.4%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 127 to 95 computations (25.2% saved)

simplify110.0ms (2.2%)

Memory
20.4MiB live, 135.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 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)) x)
cost-diff8
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
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
(neg.f64 z)
cost-diff0
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 y #s(literal 3 binary64))
cost-diff0
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024160
042160
181160
2164158
3479158
41492158
53169158
64669155
76708153
08199152
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
x
(neg.f64 z)
z
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
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
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(*.f64 y x)
y
x
#s(literal 3 binary64)
(neg.f64 z)
z
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
(*.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
(/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 y #s(literal 3 binary64))
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
z
(neg.f64 (*.f64 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)))
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
Outputs
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) (neg.f64 z))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
y
#s(literal 3 binary64)
x
(neg.f64 z)
z
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
(fma.f64 x (*.f64 #s(literal 3 binary64) y) (neg.f64 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
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) (neg.f64 z))
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 3 binary64)
(neg.f64 z)
z
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 z z)))
(*.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
(/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 (/.f64 y (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) #s(literal 3 binary64))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
z
(neg.f64 (*.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)) (neg.f64 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))

localize91.0ms (1.8%)

Memory
-19.6MiB live, 106.1MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.5321508975570771
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
accuracy1.912897687896741
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy7.215757868291602
(/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy7.876157259427562
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
accuracy0.0
(*.f64 y x)
accuracy0.0
(neg.f64 z)
accuracy0.11328125
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
accuracy0.0
(*.f64 y x)
accuracy0.00390625
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
accuracy0.23046875
(*.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy0.0
(neg.f64 z)
accuracy29.19690937814777
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
accuracy0.0
(*.f64 y #s(literal 3 binary64))
accuracy0.0
(neg.f64 z)
accuracy0.09375
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
Samples
73.0ms256×0valid
Compiler

Compiled 329 to 52 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 32.0ms (56% of total)
ival-neg: 15.0ms (26.2% of total)
ival-add: 4.0ms (7% of total)
ival-div: 3.0ms (5.2% of total)
ival-sub: 2.0ms (3.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series123.0ms (2.4%)

Memory
0.4MiB live, 37.8MiB allocated
Counts
15 → 111
Calls
Call 1
Inputs
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(*.f64 y #s(literal 3 binary64))
(neg.f64 z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
(/.f64 (*.f64 y #s(literal 3 binary64)) (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))
(* x y)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z)
(* 3 (* (pow x 2) y))
(* 3 x)
(* 3 (/ y z))
(+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3))))))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3))))))))
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
(+ z (* -3 (* x y)))
(+ 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)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))))
(/ 1 x)
(/ (+ 1 (* -1/3 (/ z (* x y)))) x)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x)
(/ (+ 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))))))) x)
(* 1/3 (/ z (* x y)))
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(* 1/3 (/ (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))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x))
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -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)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z)
(* y (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* 27 (/ (* (pow x 2) y) (pow z 3))))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* y (+ (* -81 (/ (* (pow x 3) y) (pow z 4))) (* 27 (/ (pow x 2) (pow z 3))))))) (* 3 (/ 1 z))))
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z)))))
(+ 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)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))))
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(- (+ (* 1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 1/3 (/ z (* (pow x 2) y))))
(- (+ (* -1/27 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z (* (pow x 2) y)))))
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y)
(/ (+ (* -1/9 (/ (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 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow x 3))) (* 1/27 (/ (pow z 4) (pow x 3)))) (pow y 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) y)))))
(+ (* -1 (/ (- (* -1/9 (/ (pow z 2) (* (pow x 3) y))) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 3) (* (pow x 4) y))) (* -1/9 (/ (pow z 2) (pow x 3)))) y)) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -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)))
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (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 (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1))
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z)
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z)
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (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 (* -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 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -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 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) 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 (- (* 3 (/ (* x y) z)) 1)))
(* -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
96.0ms
y
@-inf
((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* y x) 3) z) (* (* y x) 3) (* y x) (+ (* (* y x) 3) (neg z)) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ (* y 3) (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
6.0ms
z
@0
((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* y x) 3) z) (* (* y x) 3) (* y x) (+ (* (* y x) 3) (neg z)) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ (* y 3) (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
4.0ms
x
@inf
((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* y x) 3) z) (* (* y x) 3) (* y x) (+ (* (* y x) 3) (neg z)) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ (* y 3) (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
3.0ms
y
@inf
((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* y x) 3) z) (* (* y x) 3) (* y x) (+ (* (* y x) 3) (neg z)) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ (* y 3) (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
3.0ms
x
@-inf
((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* y x) 3) z) (* (* y x) 3) (* y x) (+ (* (* y x) 3) (neg z)) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ (* y 3) (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))

simplify144.0ms (2.9%)

Memory
17.1MiB live, 92.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06882670
121522560
271732459
081712324
Stop Event
iter limit
node limit
Counts
111 → 110
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x y)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z)
(* 3 (* (pow x 2) y))
(* 3 x)
(* 3 (/ y z))
(+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3))))))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3))))))))
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
(+ z (* -3 (* x y)))
(+ 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)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))))
(/ 1 x)
(/ (+ 1 (* -1/3 (/ z (* x y)))) x)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x)
(/ (+ 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))))))) x)
(* 1/3 (/ z (* x y)))
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(* 1/3 (/ (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))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x))
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -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)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z)
(* y (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* 27 (/ (* (pow x 2) y) (pow z 3))))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* y (+ (* -81 (/ (* (pow x 3) y) (pow z 4))) (* 27 (/ (pow x 2) (pow z 3))))))) (* 3 (/ 1 z))))
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z)))))
(+ 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)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))))
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(- (+ (* 1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 1/3 (/ z (* (pow x 2) y))))
(- (+ (* -1/27 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z (* (pow x 2) y)))))
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y)
(/ (+ (* -1/9 (/ (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 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow x 3))) (* 1/27 (/ (pow z 4) (pow x 3)))) (pow y 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) y)))))
(+ (* -1 (/ (- (* -1/9 (/ (pow z 2) (* (pow x 3) y))) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 3) (* (pow x 4) y))) (* -1/9 (/ (pow z 2) (pow x 3)))) y)) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -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)))
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (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 (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1))
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z)
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z)
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (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 (* -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 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -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 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) 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 (- (* 3 (/ (* x y) z)) 1)))
(* -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 #s(literal 3 binary64) x) y (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(* x y)
(*.f64 x y)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z)
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z)
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* 3 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 (/ y z))
(*.f64 (/.f64 y z) #s(literal 3 binary64))
(+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))
(*.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 z z)) #s(literal -9 binary64)) y (/.f64 #s(literal 3 binary64) z)) y)
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 27 binary64)) x (*.f64 (/.f64 (/.f64 (*.f64 y y) z) z) #s(literal -9 binary64))) x (*.f64 (/.f64 y z) #s(literal 3 binary64)))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3))))))))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 27 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal -81 binary64)) (pow.f64 z #s(literal 4 binary64)))) x (*.f64 (/.f64 (/.f64 (*.f64 y y) z) z) #s(literal -9 binary64))) x (*.f64 (/.f64 y z) #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -3 (/ (* x y) z)))
(fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) 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 (/.f64 (/.f64 (*.f64 y y) z) z) #s(literal 9 binary64))) x (*.f64 #s(literal -3 binary64) (/.f64 y z))) x #s(literal 1 binary64))
z
(+ z (* -3 (* x y)))
(fma.f64 #s(literal -3 binary64) (*.f64 x y) z)
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 9 binary64) (*.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 x #s(literal -27 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z) (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y y) z))) x (*.f64 #s(literal -3 binary64) y)) x z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 (neg.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 z x))) x)
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))
(*.f64 (neg.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 z x))) x)
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))))
(*.f64 (-.f64 (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 3 binary64) y #s(literal 0 binary64))) (/.f64 z x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/3 (/ z (* x y)))) x)
(/.f64 (fma.f64 (/.f64 (/.f64 z x) y) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 z y) (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal 1 binary64))) x)
(/ (+ 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))))))) x)
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 (*.f64 z (/.f64 z y)) y) (*.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (fma.f64 (/.f64 (/.f64 z x) y) #s(literal -1/3 binary64) #s(literal 1 binary64))) x)
(* 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 y) #s(literal 1/3 binary64) (/.f64 (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/9 binary64)) x)) 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)
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(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))) z (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) y))) z (/.f64 #s(literal 1 binary64) x))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (fma.f64 (/.f64 (/.f64 z (*.f64 (*.f64 x x) y)) y) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) z)
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) z)
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) z)
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 z (*.f64 (*.f64 x x) y)) y) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) z) z)
(* (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)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) (*.f64 z z))
(* (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)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) (*.f64 z z))
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 9 binary64) z) (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal -9 binary64) (*.f64 (*.f64 x y) #s(literal 3 binary64))) z)) #s(literal 1 binary64)) z)
(* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1))
(*.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal -9 binary64) (*.f64 (*.f64 x y) #s(literal 3 binary64))) z) (fma.f64 (/.f64 #s(literal 9 binary64) z) (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))))) #s(literal 1 binary64)) z)
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z)
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal -9 binary64) (*.f64 #s(literal 3 binary64) y)) z)
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z)
(/.f64 (fma.f64 (/.f64 #s(literal 27 binary64) z) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x) z) (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal -9 binary64) (*.f64 #s(literal 3 binary64) y))) z)
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z)
(/.f64 (fma.f64 (*.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 27 binary64) z) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x) z) (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal -9 binary64) (*.f64 #s(literal 3 binary64) y)))) z)
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(+.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y))) z) #s(literal 1 binary64))
(- (+ 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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y))) z) #s(literal 1 binary64)))
(* z (+ 1 (* -3 (/ (* x y) z))))
(*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z)
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y))) z) #s(literal 1 binary64)) 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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y))) z) #s(literal 1 binary64))) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(*.f64 (neg.f64 z) (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(*.f64 (neg.f64 z) (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)))
(* -1 (* z (+ 1 (* -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)))))
(*.f64 (neg.f64 z) (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)))
(* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) y)) (neg.f64 z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z))
(/.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x) z) #s(literal 27 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -9 binary64))) (neg.f64 z))) (neg.f64 z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z))
(/.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9 binary64) x) y) y (/.f64 (fma.f64 (*.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x) #s(literal -27 binary64))) (neg.f64 z))) (neg.f64 z))) (neg.f64 z))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(+.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y))) z) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y (/.f64 (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 x x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) (neg.f64 z))) z))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z)
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1)))
(fma.f64 (neg.f64 z) (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal -9 binary64) (*.f64 (*.f64 x y) #s(literal 3 binary64))) z) z)
(* -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)))
(fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -9 binary64) x) x) y) y (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) z) (*.f64 #s(literal -3 binary64) (*.f64 x y))) z) z)

rewrite399.0ms (7.9%)

Memory
19.6MiB live, 529.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024116
04294
117294
297494
0876594
Stop Event
iter limit
node limit
iter limit
Counts
15 → 2 636
Calls
Call 1
Inputs
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(*.f64 y #s(literal 3 binary64))
(neg.f64 z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
(/.f64 (*.f64 y #s(literal 3 binary64)) (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) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) (pow.f64 (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)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 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 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (fma.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 (*.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 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 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 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)))
(*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) (pow.f64 (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)))) #s(literal -1 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 (fma.f64 z z (*.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)))
(*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) (/.f64 (-.f64 (*.f64 (neg.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 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.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 (pow.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) (pow.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (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 (neg.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z z)) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z z)) (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 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) #s(literal 3 binary64))) (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) (neg.f64 z)) (/.f64 (-.f64 (*.f64 (neg.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 (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 (neg.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)))
(*.f64 (-.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 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z) #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z z)) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))) (pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z z)) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) #s(literal -1 binary64)))
(*.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 -1 binary64)))
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(+.f64 (*.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 x #s(literal 3 binary64)) y)) (*.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))) (neg.f64 z)))
(+.f64 (*.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))) (neg.f64 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 (*.f64 x #s(literal 3 binary64)) y)))
(+.f64 (*.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)))) (*.f64 z (-.f64 z (*.f64 (*.f64 x #s(literal 3 binary64)) y)))) (*.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)))) (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64))))
(+.f64 (*.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)))) (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64))) (*.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)))) (*.f64 z (-.f64 z (*.f64 (*.f64 x #s(literal 3 binary64)) y)))))
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) z))

eval138.0ms (2.7%)

Memory
-5.9MiB live, 301.8MiB allocated
Compiler

Compiled 43 581 to 2 611 computations (94% saved)

prune145.0ms (2.9%)

Memory
7.6MiB live, 47.0MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New9521953
Fresh000
Picked145
Done011
Total9536959
Accuracy
100.0%
Counts
959 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.3%
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
99.8%
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
99.9%
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
99.8%
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
54.4%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 70 to 57 computations (18.6% saved)

simplify200.0ms (3.9%)

Memory
8.2MiB live, 120.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 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)) x)
cost-diff2
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019105
029105
156105
2121103
3414103
41333103
52491103
63704103
75256103
86789103
08075103
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(*.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
(/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 y #s(literal 3 binary64))
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
z
(neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) x) (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(*.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
(/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) #s(literal 3 binary64))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) x z)
z
(neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
(*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z)
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
#s(literal 1 binary64)

localize44.0ms (0.9%)

Memory
-5.3MiB live, 65.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.5321508975570771
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
accuracy7.215757868291602
(/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy7.876157259427562
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
accuracy29.26575617134379
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
Samples
30.0ms256×0valid
Compiler

Compiled 216 to 38 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 9.0ms (44% of total)
ival-div: 7.0ms (34.2% of total)
ival-add: 2.0ms (9.8% of total)
ival-neg: 1.0ms (4.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
16.3MiB live, 16.3MiB allocated
Counts
7 → 109
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
(/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
Outputs
(* -1 z)
(- (* 3 (* x y)) z)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z)
(* 3 (* (pow x 2) y))
(* 3 (* x y))
(* 3 x)
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
(* 3 (/ y z))
(+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3))))))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3))))))))
z
(+ z (* -3 (* x y)))
(+ 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)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))))
(* 1/3 (/ z (* x y)))
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(/ 1 x)
(/ (+ 1 (* -1/3 (/ z (* x y)))) x)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x)
(/ (+ 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))))))) 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))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) 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))
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z)
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z)))))
(* y (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* 27 (/ (* (pow x 2) y) (pow z 3))))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* y (+ (* -81 (/ (* (pow x 3) y) (pow z 4))) (* 27 (/ (pow x 2) (pow z 3))))))) (* 3 (/ 1 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)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))))
(/ (+ (* -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)
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(- (+ (* 1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 1/3 (/ z (* (pow x 2) y))))
(- (+ (* -1/27 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z (* (pow x 2) 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 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow x 3))) (* 1/27 (/ (pow z 4) (pow x 3)))) (pow y 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) 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 (/ (- (* -1/9 (/ (pow z 2) (* (pow x 3) y))) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 3) (* (pow x 4) y))) (* -1/9 (/ (pow z 2) (pow x 3)))) y)) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(* -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)))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(* (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 (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1))
(- (+ 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))))
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z)
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z)
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z)
(* z (+ 1 (* -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 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -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 (/ (- (* -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 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -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
1.0ms
x
@-inf
((+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ z (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
1.0ms
x
@inf
((+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ z (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
1.0ms
x
@0
((+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ z (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
1.0ms
y
@-inf
((+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ z (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
1.0ms
y
@inf
((+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ z (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))

simplify326.0ms (6.4%)

Memory
-131.8MiB live, 147.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06882664
121522554
271662453
081692318
Stop Event
iter limit
node limit
Counts
109 → 108
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z)
(* 3 (* (pow x 2) y))
(* 3 (* x y))
(* 3 x)
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
(* 3 (/ y z))
(+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3))))))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3))))))))
z
(+ z (* -3 (* x y)))
(+ 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)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))))
(* 1/3 (/ z (* x y)))
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(/ 1 x)
(/ (+ 1 (* -1/3 (/ z (* x y)))) x)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x)
(/ (+ 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))))))) 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))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) 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))
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z)
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z)))))
(* y (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* 27 (/ (* (pow x 2) y) (pow z 3))))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* y (+ (* -81 (/ (* (pow x 3) y) (pow z 4))) (* 27 (/ (pow x 2) (pow z 3))))))) (* 3 (/ 1 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)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))))
(/ (+ (* -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)
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(- (+ (* 1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 1/3 (/ z (* (pow x 2) y))))
(- (+ (* -1/27 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z (* (pow x 2) 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 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow x 3))) (* 1/27 (/ (pow z 4) (pow x 3)))) (pow y 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) 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 (/ (- (* -1/9 (/ (pow z 2) (* (pow x 3) y))) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 3) (* (pow x 4) y))) (* -1/9 (/ (pow z 2) (pow x 3)))) y)) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(* -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)))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(* (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 (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1))
(- (+ 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))))
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z)
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z)
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z)
(* z (+ 1 (* -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 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -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 (/ (- (* -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 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -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 #s(literal 3 binary64) y) x (neg.f64 z))
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* 3 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) 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))
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) 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 (/.f64 (/.f64 (*.f64 y y) z) z) #s(literal 9 binary64))) x (*.f64 (/.f64 y z) #s(literal -3 binary64))) x #s(literal 1 binary64))
(* 3 (/ y z))
(*.f64 (/.f64 y z) #s(literal 3 binary64))
(+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 x z) z) #s(literal -9 binary64)) y (/.f64 #s(literal 3 binary64) z)) y)
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 27 binary64)) x (*.f64 (/.f64 (/.f64 (*.f64 y y) z) z) #s(literal -9 binary64))) x (*.f64 (/.f64 y z) #s(literal 3 binary64)))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3))))))))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 27 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal -81 binary64)) (pow.f64 z #s(literal 4 binary64)))) x (*.f64 (/.f64 (/.f64 (*.f64 y y) z) z) #s(literal -9 binary64))) x (*.f64 (/.f64 y z) #s(literal 3 binary64)))
z
(+ z (* -3 (* x y)))
(fma.f64 #s(literal -3 binary64) (*.f64 x y) z)
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 9 binary64) (*.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 x #s(literal -27 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z) (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y y) z))) x (*.f64 #s(literal -3 binary64) y)) x z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 (neg.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 z x))) x)
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))
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(/.f64 (fma.f64 (*.f64 z (/.f64 z x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) x) #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1/27 binary64) y) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 y))) (neg.f64 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))
(/.f64 (fma.f64 (*.f64 z (/.f64 z x)) #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) y) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 (pow.f64 z #s(literal 3 binary64)) x))) y)) (neg.f64 y))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (fma.f64 (/.f64 (/.f64 z (*.f64 (*.f64 x x) y)) y) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) z)
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
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(* 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)))))
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(fma.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) y))) z (/.f64 #s(literal 1 binary64) x))
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
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(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 z (*.f64 (*.f64 x x) y)) y) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) z) z)
(* (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)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) z) z)
(* (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)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) (*.f64 z z))
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 9 binary64) z) (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal -9 binary64) (*.f64 (*.f64 x y) #s(literal 3 binary64))) z)) #s(literal 1 binary64)) z)
(* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1))
(*.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal -9 binary64) (*.f64 (*.f64 x y) #s(literal 3 binary64))) z) (fma.f64 (/.f64 #s(literal 9 binary64) z) (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))))) #s(literal 1 binary64)) z)
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(+.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y))) z) #s(literal 1 binary64))
(- (+ 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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y))) z) #s(literal 1 binary64)))
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z)
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal -9 binary64) (*.f64 #s(literal 3 binary64) y)) z)
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z)
(/.f64 (fma.f64 (/.f64 #s(literal 27 binary64) z) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x) z) (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal -9 binary64) (*.f64 #s(literal 3 binary64) y))) z)
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z)
(/.f64 (fma.f64 (*.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 27 binary64) z) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x) z) (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal -9 binary64) (*.f64 #s(literal 3 binary64) y)))) z)
(* z (+ 1 (* -3 (/ (* x y) z))))
(*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64) #s(literal 1 binary64)) z)
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y))) z) #s(literal 1 binary64)) 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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y))) z) #s(literal 1 binary64))) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64) #s(literal 1 binary64)))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64) #s(literal 1 binary64)))
(* -1 (* z (+ 1 (* -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)))))
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64) #s(literal 1 binary64)))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(+.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y))) z) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x (/.f64 (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 x x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) (neg.f64 z))) z))
(* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) y)) (neg.f64 z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z))
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(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z))
(/.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9 binary64) x) y) y (/.f64 (fma.f64 (*.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x) #s(literal -27 binary64))) (neg.f64 z))) (neg.f64 z))) (neg.f64 z))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64) #s(literal 1 binary64)) z)
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1)))
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(* -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)))
(fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -9 binary64) x) x) y) y (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) z) (*.f64 #s(literal -3 binary64) (*.f64 x y))) z) z)

rewrite166.0ms (3.3%)

Memory
-1.4MiB live, 191.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01978
02978
19174
263574
0868774
Stop Event
iter limit
node limit
iter limit
Counts
7 → 298
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
(/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) z (/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)))))
(*.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z)))))
(*.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) (fma.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))) (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #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 #s(literal 3 binary64) y) x z) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) (fma.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))) (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) z (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))) (pow.f64 (fma.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) (fma.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))) (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)))) #s(literal -1 binary64))))
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(+.f64 (*.f64 (*.f64 z (-.f64 z (*.f64 (*.f64 x #s(literal 3 binary64)) y))) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 (pow.f64 (*.f64 y x) #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 (*.f64 #s(literal 3 binary64) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))))))
(+.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 z (-.f64 z (*.f64 (*.f64 x #s(literal 3 binary64)) y))) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z))) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z))) (neg.f64 z)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (-.f64 z (*.f64 (*.f64 x #s(literal 3 binary64)) y)))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (-.f64 z (*.f64 (*.f64 x #s(literal 3 binary64)) y)))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) z)
(*.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))) z)
(*.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 1 binary64))
(*.f64 (neg.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (*.f64 z #s(literal -1 binary64)))
(*.f64 (neg.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 z) (neg.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(*.f64 (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (*.f64 (neg.f64 z) #s(literal -1 binary64)))
(*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z)
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z))
(*.f64 z (*.f64 (neg.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 z (neg.f64 (neg.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64))) (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(/.f64 (pow.f64 (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #s(literal 3 binary64)) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z))
(neg.f64 (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z))

eval54.0ms (1.1%)

Memory
13.5MiB live, 97.7MiB allocated
Compiler

Compiled 19 614 to 1 522 computations (92.2% saved)

prune6.0ms (0.1%)

Memory
-17.3MiB live, 21.9MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New3861387
Fresh000
Picked101
Done055
Total3876393
Accuracy
100.0%
Counts
393 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.5%
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
99.8%
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
99.9%
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
99.8%
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
54.4%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 75 to 58 computations (22.7% saved)

simplify180.0ms (3.6%)

Memory
33.9MiB live, 71.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 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)) x)
cost-diff0
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020113
028113
153113
2102113
3243113
4596113
51029113
61511113
71914113
82093113
92248113
102446113
112721113
122878113
132928113
142928113
153268113
163378113
173444113
183444113
193444113
203444113
213484113
223729113
03729107
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(*.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
#s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
z
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
Outputs
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 3 binary64) y) (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(*.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
#s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
(*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z)
z
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))

localize57.0ms (1.1%)

Memory
4.0MiB live, 79.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.5321508975570771
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
accuracy7.876157259427562
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
accuracy29.26575617134379
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
accuracy34.11337570665557
#s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x))
Samples
47.0ms256×0valid
Compiler

Compiled 213 to 40 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 21.0ms (69.6% of total)
ival-div: 5.0ms (16.6% of total)
ival-add: 2.0ms (6.6% of total)
ival-neg: 1.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
-15.9MiB live, 20.5MiB allocated
Counts
7 → 109
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
Outputs
(* -1 z)
(- (* 3 (* x y)) z)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z)
(* 3 (* (pow x 2) y))
(* 3 (* x y))
(* 3 x)
(* 3 (/ y z))
(+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3))))))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3))))))))
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
(+ z (* -3 (* x y)))
(+ 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)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))))
(/ 1 x)
(/ (+ 1 (* -1/3 (/ z (* x y)))) x)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x)
(/ (+ 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))))))) x)
(* 1/3 (/ z (* x y)))
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(* 1/3 (/ (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))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x))
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -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))
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z)
(* y (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* 27 (/ (* (pow x 2) y) (pow z 3))))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* y (+ (* -81 (/ (* (pow x 3) y) (pow z 4))) (* 27 (/ (pow x 2) (pow z 3))))))) (* 3 (/ 1 z))))
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z)))))
(+ 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)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))))
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(- (+ (* 1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 1/3 (/ z (* (pow x 2) y))))
(- (+ (* -1/27 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z (* (pow x 2) y)))))
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y)
(/ (+ (* -1/9 (/ (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 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow x 3))) (* 1/27 (/ (pow z 4) (pow x 3)))) (pow y 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) y)))))
(+ (* -1 (/ (- (* -1/9 (/ (pow z 2) (* (pow x 3) y))) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 3) (* (pow x 4) y))) (* -1/9 (/ (pow z 2) (pow x 3)))) y)) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -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)))
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (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 (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1))
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z)
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z)
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (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 (* -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 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -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 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) 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 (- (* 3 (/ (* x y) z)) 1)))
(* -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
3.0ms
x
@-inf
((+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ (* y 3) (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
1.0ms
x
@inf
((+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ (* y 3) (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
1.0ms
x
@0
((+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ (* y 3) (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
1.0ms
y
@-inf
((+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ (* y 3) (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
1.0ms
y
@inf
((+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ (* y 3) (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))

simplify161.0ms (3.2%)

Memory
6.5MiB live, 162.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06882664
121522554
271702453
081732318
Stop Event
iter limit
node limit
Counts
109 → 108
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z)
(* 3 (* (pow x 2) y))
(* 3 (* x y))
(* 3 x)
(* 3 (/ y z))
(+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3))))))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3))))))))
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
(+ z (* -3 (* x y)))
(+ 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)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))))
(/ 1 x)
(/ (+ 1 (* -1/3 (/ z (* x y)))) x)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x)
(/ (+ 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))))))) x)
(* 1/3 (/ z (* x y)))
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(* 1/3 (/ (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))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x))
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -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))
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z)
(* y (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* 27 (/ (* (pow x 2) y) (pow z 3))))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* y (+ (* -81 (/ (* (pow x 3) y) (pow z 4))) (* 27 (/ (pow x 2) (pow z 3))))))) (* 3 (/ 1 z))))
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z)))))
(+ 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)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))))
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(- (+ (* 1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 1/3 (/ z (* (pow x 2) y))))
(- (+ (* -1/27 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z (* (pow x 2) y)))))
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y)
(/ (+ (* -1/9 (/ (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 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow x 3))) (* 1/27 (/ (pow z 4) (pow x 3)))) (pow y 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) y)))))
(+ (* -1 (/ (- (* -1/9 (/ (pow z 2) (* (pow x 3) y))) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 3) (* (pow x 4) y))) (* -1/9 (/ (pow z 2) (pow x 3)))) y)) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -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)))
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (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 (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1))
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z)
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z)
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (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 (* -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 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -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 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) 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 (- (* 3 (/ (* x y) z)) 1)))
(* -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 #s(literal 3 binary64) y) x (neg.f64 z))
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* 3 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(* 3 (* x y))
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(* 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)))))
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(* (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)))))
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(* (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)))))
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(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
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(* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1))
(*.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal -9 binary64) (*.f64 (*.f64 x y) #s(literal 3 binary64))) z) (fma.f64 (/.f64 #s(literal 9 binary64) z) (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))))) #s(literal 1 binary64)) z)
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z)
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal -9 binary64) (*.f64 #s(literal 3 binary64) y)) z)
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z)
(/.f64 (fma.f64 (/.f64 #s(literal 27 binary64) z) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x) z) (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal -9 binary64) (*.f64 #s(literal 3 binary64) y))) z)
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z)
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(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(+.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y))) z) #s(literal 1 binary64))
(- (+ 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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y))) z) #s(literal 1 binary64)))
(* z (+ 1 (* -3 (/ (* x y) z))))
(*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z)
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(* 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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y))) z) #s(literal 1 binary64))) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(*.f64 (neg.f64 z) (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(*.f64 (neg.f64 z) (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)))
(* -1 (* z (+ 1 (* -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)))))
(*.f64 (neg.f64 z) (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)))
(* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z))
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(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z))
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(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z))
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(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x (/.f64 (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 x x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) (neg.f64 z))) z))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z)
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(* -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)))
(fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -9 binary64) x) x) y) y (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) z) (*.f64 #s(literal -3 binary64) (*.f64 x y))) z) z)

rewrite218.0ms (4.3%)

Memory
5.0MiB live, 270.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02091
02891
19591
260891
3677991
0817586
Stop Event
iter limit
node limit
iter limit
Counts
7 → 183
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
Outputs
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(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 y (*.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(/.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) z)
(*.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))) z)
(*.f64 (neg.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (neg.f64 z))
(*.f64 (neg.f64 z) (neg.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(*.f64 (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 1 binary64))
(*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (*.f64 (neg.f64 z) #s(literal -1 binary64)))
(*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z)
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z))
(*.f64 z (*.f64 (neg.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 z (neg.f64 (neg.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64))) (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(/.f64 (pow.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z))
(/.f64 (pow.f64 (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64))))
(neg.f64 (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) z #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))) z #s(literal 0 binary64))
(fma.f64 (neg.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (neg.f64 z) #s(literal 0 binary64))
(fma.f64 (neg.f64 z) (neg.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (*.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 0 binary64))
(fma.f64 z (*.f64 (neg.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 z (neg.f64 (neg.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))) #s(literal 0 binary64))
(fma.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z))
(+.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 0 binary64))

eval53.0ms (1%)

Memory
20.3MiB live, 92.9MiB allocated
Compiler

Compiled 18 540 to 1 158 computations (93.8% saved)

prune15.0ms (0.3%)

Memory
-25.3MiB live, 22.9MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2690269
Fresh000
Picked011
Done055
Total2696275
Accuracy
100.0%
Counts
275 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.5%
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
99.8%
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
99.9%
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
99.8%
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
54.4%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 211 to 100 computations (52.6% saved)

regimes25.0ms (0.5%)

Memory
4.7MiB live, 41.8MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Calls

6 calls:

11.0ms
x
3.0ms
(*.f64 x #s(literal 3 binary64))
3.0ms
z
3.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
3.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
99.9%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
99.9%1(*.f64 x #s(literal 3 binary64))
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes7.0ms (0.1%)

Memory
24.8MiB live, 24.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

1.0ms
(*.f64 x #s(literal 3 binary64))
1.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
1.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
54.4%1x
54.4%1y
54.4%1z
54.4%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
54.4%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
54.4%1(*.f64 x #s(literal 3 binary64))
Compiler

Compiled 18 to 27 computations (-50% saved)

simplify73.0ms (1.4%)

Memory
5.8MiB live, 78.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01217
12317
23417
34217
47117
511817
623617
761217
8372817
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))

soundness262.0ms (5.2%)

Memory
-38.5MiB live, 102.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03866
111866
233166
384166
4241566
5453866
6639866
7783266
0812766
Stop Event
done
iter limit
node limit
Compiler

Compiled 19 to 17 computations (10.5% saved)

preprocess136.0ms (2.7%)

Memory
8.7MiB live, 46.9MiB allocated
Remove

(sort x y)

Compiler

Compiled 90 to 82 computations (8.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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