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

Time bar (total: 6.4s)

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)

sample728.0ms (11.4%)

Memory
22.8MiB live, 998.0MiB allocated
Samples
495.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 215.0ms
ival-mult: 141.0ms (65.4% of total)
ival-sub: 61.0ms (28.3% of total)
ival-true: 6.0ms (2.8% of total)
exact: 5.0ms (2.3% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain70.0ms (1.1%)

Memory
25.6MiB live, 165.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(*.f64 (*.f64 x #s(literal 3 binary64)) y)
00-0-(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
00-0-y
00-0-#s(literal 3 binary64)
00-0-(*.f64 x #s(literal 3 binary64))
00-0-z
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 x #s(literal 3 binary64)) y)n*o10
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
29.0ms512×0valid
Compiler

Compiled 49 to 25 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (66.5% of total)
ival-sub: 2.0ms (19% of total)
ival-true: 1.0ms (9.5% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess22.0ms (0.3%)

Memory
-26.5MiB live, 66.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(sort x y)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
2.0MiB live, 2.0MiB 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)

simplify4.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize27.0ms (0.4%)

Memory
-23.7MiB live, 65.7MiB 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)
accuracy0.21875
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Samples
15.0ms256×0valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 6.0ms (80.5% of total)
ival-sub: 1.0ms (13.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

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

9 calls:

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

simplify124.0ms (1.9%)

Memory
23.1MiB live, 163.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite357.0ms (5.6%)

Memory
-21.4MiB live, 377.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

eval27.0ms (0.4%)

Memory
18.6MiB live, 63.9MiB allocated
Compiler

Compiled 8 430 to 627 computations (92.6% saved)

prune12.0ms (0.2%)

Memory
-25.8MiB live, 26.2MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2287235
Fresh000
Picked011
Done000
Total2288236
Accuracy
100.0%
Counts
236 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.2%
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
17.9%
(fma.f64 x (/.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
99.8%
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
99.5%
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
65.8%
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64))) z)
50.0%
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)) (sqrt.f64 (*.f64 y #s(literal 3 binary64)))) z)
55.5%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 219 to 157 computations (28.3% saved)

simplify37.0ms (0.6%)

Memory
-3.2MiB live, 43.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
028181
048181
166181
299181
3157181
4306181
5998181
61651181
71785181
81803181
91803181
101803181
01803181
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.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
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
x
z
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)) (sqrt.f64 (*.f64 y #s(literal 3 binary64)))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)) (sqrt.f64 (*.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
y
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(sqrt.f64 (*.f64 y #s(literal 3 binary64)))
(*.f64 y #s(literal 3 binary64))
z
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x))
(*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
y
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(sqrt.f64 #s(literal 3 binary64))
z
Outputs
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
(-.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 3 binary64)
z
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(-.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z)
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
y
#s(literal 3 binary64)
x
z
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)) (sqrt.f64 (*.f64 y #s(literal 3 binary64)))) z)
(-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)) (sqrt.f64 (*.f64 y #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x)))
(sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x))
(sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
y
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(sqrt.f64 (*.f64 y #s(literal 3 binary64)))
(sqrt.f64 (*.f64 #s(literal 3 binary64) y))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
z
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64))) z)
(-.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) y) x))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) y) x)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x))
(sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) y) x))
(*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) y) x)
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) y)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
y
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(sqrt.f64 #s(literal 3 binary64))
z

localize76.0ms (1.2%)

Memory
-4.8MiB live, 134.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.1796875
(*.f64 y (*.f64 #s(literal 3 binary64) x))
accuracy0.2662887695368841
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64)))
accuracy4.305249808234461
(*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)
accuracy15.035698010080077
(sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x))
accuracy0.1796875
(*.f64 y (*.f64 #s(literal 3 binary64) x))
accuracy0.224941259768442
(*.f64 (sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)) (sqrt.f64 (*.f64 y #s(literal 3 binary64))))
accuracy0.5781163546826377
(sqrt.f64 (*.f64 y #s(literal 3 binary64)))
accuracy16.23063124070373
(sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x))
accuracy0.0
(*.f64 y #s(literal 3 binary64))
accuracy0.00390625
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
accuracy0.4022959649476069
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
accuracy0.0
(neg.f64 z)
accuracy21.791469080345287
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
accuracy0.0
(*.f64 y x)
accuracy0.00390625
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
accuracy0.171875
(*.f64 (*.f64 y x) #s(literal 3 binary64))
Samples
40.0ms197×0valid
13.0ms59×0invalid
Compiler

Compiled 180 to 29 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 19.0ms (53.9% of total)
ival-sqrt: 9.0ms (25.6% of total)
ival-sub: 6.0ms (17% of total)
ival-neg: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series32.0ms (0.5%)

Memory
11.3MiB live, 55.8MiB allocated
Counts
18 → 33
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)) (sqrt.f64 (*.f64 y #s(literal 3 binary64)))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)) (sqrt.f64 (*.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x))
(*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)
(sqrt.f64 (*.f64 y #s(literal 3 binary64)))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
Outputs
(* -1 z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x y)
(- (* x (* y (pow (sqrt 3) 2))) z)
(* x (* y (pow (sqrt 3) 2)))
(* (* x (sqrt 3)) (sqrt y))
(* 3 (* (pow x 2) y))
(* x (* y (sqrt 3)))
(* 3 (* (pow x 2) (pow y 2)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (* y (pow (sqrt 3) 2))))
(* -1 (* x (+ (* y (pow (sqrt 3) 2)) (/ z x))))
(* -1 (* (* x (sqrt 3)) (sqrt y)))
(* -1 (* x (* y (sqrt 3))))
(* 3 y)
(* (sqrt y) (sqrt 3))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* x (* y (pow (sqrt -3) 2))))
(* -1 (* y (+ (* x (pow (sqrt -3) 2)) (/ z y))))
(* -1 (* (* x (* (sqrt -3) (sqrt -1))) (sqrt y)))
(* -1 (* y (+ (* x (pow (sqrt 3) 2)) (/ z y))))
(* -1 (* (sqrt y) (* (sqrt -3) (sqrt -1))))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
y
@inf
((- (* (* y x) 3) z) (* (* y x) 3) (* y x) (- (* (* x 3) y) z) (neg z) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) (sqrt (* (* y (* 3 x)) x)) (* (* y (* 3 x)) x) (- (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) z) (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) (sqrt (* (* (* y (* 3 x)) y) x)) (* (* (* y (* 3 x)) y) x) (sqrt (* y 3)) (* y (* 3 x)))
7.0ms
y
@-inf
((- (* (* y x) 3) z) (* (* y x) 3) (* y x) (- (* (* x 3) y) z) (neg z) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) (sqrt (* (* y (* 3 x)) x)) (* (* y (* 3 x)) x) (- (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) z) (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) (sqrt (* (* (* y (* 3 x)) y) x)) (* (* (* y (* 3 x)) y) x) (sqrt (* y 3)) (* y (* 3 x)))
5.0ms
x
@0
((- (* (* y x) 3) z) (* (* y x) 3) (* y x) (- (* (* x 3) y) z) (neg z) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) (sqrt (* (* y (* 3 x)) x)) (* (* y (* 3 x)) x) (- (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) z) (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) (sqrt (* (* (* y (* 3 x)) y) x)) (* (* (* y (* 3 x)) y) x) (sqrt (* y 3)) (* y (* 3 x)))
3.0ms
y
@0
((- (* (* y x) 3) z) (* (* y x) 3) (* y x) (- (* (* x 3) y) z) (neg z) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) (sqrt (* (* y (* 3 x)) x)) (* (* y (* 3 x)) x) (- (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) z) (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) (sqrt (* (* (* y (* 3 x)) y) x)) (* (* (* y (* 3 x)) y) x) (sqrt (* y 3)) (* y (* 3 x)))
3.0ms
x
@inf
((- (* (* y x) 3) z) (* (* y x) 3) (* y x) (- (* (* x 3) y) z) (neg z) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) (sqrt (* (* y (* 3 x)) x)) (* (* y (* 3 x)) x) (- (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) z) (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) (sqrt (* (* (* y (* 3 x)) y) x)) (* (* (* y (* 3 x)) y) x) (sqrt (* y 3)) (* y (* 3 x)))

simplify400.0ms (6.2%)

Memory
1.7MiB live, 187.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
094232
1297222
21033222
32838216
45577216
57540216
08021216
Stop Event
iter limit
node limit
Counts
33 → 33
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x y)
(- (* x (* y (pow (sqrt 3) 2))) z)
(* x (* y (pow (sqrt 3) 2)))
(* (* x (sqrt 3)) (sqrt y))
(* 3 (* (pow x 2) y))
(* x (* y (sqrt 3)))
(* 3 (* (pow x 2) (pow y 2)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (* y (pow (sqrt 3) 2))))
(* -1 (* x (+ (* y (pow (sqrt 3) 2)) (/ z x))))
(* -1 (* (* x (sqrt 3)) (sqrt y)))
(* -1 (* x (* y (sqrt 3))))
(* 3 y)
(* (sqrt y) (sqrt 3))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* x (* y (pow (sqrt -3) 2))))
(* -1 (* y (+ (* x (pow (sqrt -3) 2)) (/ z y))))
(* -1 (* (* x (* (sqrt -3) (sqrt -1))) (sqrt y)))
(* -1 (* y (+ (* x (pow (sqrt 3) 2)) (/ z y))))
(* -1 (* (sqrt y) (* (sqrt -3) (sqrt -1))))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
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 (* y (pow (sqrt 3) 2))) z)
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* x (* y (pow (sqrt 3) 2)))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(* (* x (sqrt 3)) (sqrt y))
(*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 #s(literal 3 binary64)))
(* 3 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(* x (* y (sqrt 3)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) y) x)
(* 3 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 3 binary64))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* x (+ (* -3 y) (/ z x))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* x (* y (pow (sqrt 3) 2))))
(*.f64 (*.f64 #s(literal -3 binary64) x) y)
(* -1 (* x (+ (* y (pow (sqrt 3) 2)) (/ z x))))
(fma.f64 (*.f64 #s(literal -3 binary64) x) y (neg.f64 z))
(* -1 (* (* x (sqrt 3)) (sqrt y)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 y)) x) (sqrt.f64 #s(literal 3 binary64)))
(* -1 (* x (* y (sqrt 3))))
(*.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 #s(literal 3 binary64)))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* (sqrt y) (sqrt 3))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 3 binary64)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* y (+ (* -3 x) (/ z y))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* x (* y (pow (sqrt -3) 2))))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(* -1 (* y (+ (* x (pow (sqrt -3) 2)) (/ z y))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* (* x (* (sqrt -3) (sqrt -1))) (sqrt y)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -3 binary64)))
(* -1 (* y (+ (* x (pow (sqrt 3) 2)) (/ z y))))
(fma.f64 (*.f64 #s(literal -3 binary64) x) y (neg.f64 z))
(* -1 (* (sqrt y) (* (sqrt -3) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y)) (neg.f64 (sqrt.f64 #s(literal -3 binary64))))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))

rewrite404.0ms (6.3%)

Memory
11.9MiB live, 240.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028141
048109
1144109
2664105
35114105
09227105
Stop Event
iter limit
node limit
iter limit
Counts
18 → 896
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)) (sqrt.f64 (*.f64 y #s(literal 3 binary64)))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)) (sqrt.f64 (*.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x))
(*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)
(sqrt.f64 (*.f64 y #s(literal 3 binary64)))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
Outputs
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal 3 binary64) x) y)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z) #s(literal 3 binary64)))) (fma.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z) (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))))))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z) (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)) (*.f64 z (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 27 binary64) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))) (*.f64 z (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) (*.f64 z z))) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (fma.f64 z z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) #s(literal 729 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal 3 binary64) x) y)))) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
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(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) x) (/.f64 y (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
(fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (/.f64 (*.f64 x y) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) (sqrt.f64 (*.f64 #s(literal 3 binary64) y))) (/.f64 (*.f64 (pow.f64 x #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 3 binary64) y))) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
(fma.f64 (*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 3/2 binary64)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (/.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
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(*.f64 (fabs.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 1 binary64)))) (fabs.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y))) (fabs.f64 (*.f64 (pow.f64 x #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 3 binary64) y)))))
(*.f64 (fabs.f64 (*.f64 (pow.f64 x #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 3 binary64) y)))) (fabs.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) (sqrt.f64 (*.f64 #s(literal 3 binary64) y)))) (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 3/2 binary64)) (sqrt.f64 x))) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) y))) (*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) x)) (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) x)) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 1 binary64)))))
(*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 3 binary64) y))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 x)) (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) (sqrt.f64 (*.f64 #s(literal 3 binary64) y)))))
(*.f64 (*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 x y))) (*.f64 (*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 x y))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) y))))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 3 binary64) y)))))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 3/2 binary64)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)))))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) y)) (sqrt.f64 (*.f64 #s(literal 3 binary64) x)))
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)))
(*.f64 (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 3 binary64) y))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y))) (sqrt.f64 (*.f64 #s(literal 3 binary64) x))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) x)))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 1 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 1 binary64))) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 (pow.f64 x #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 3 binary64) y))))
(*.f64 (*.f64 (pow.f64 x #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 3 binary64) y))) (sqrt.f64 (*.f64 #s(literal 3 binary64) y)))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 (*.f64 #s(literal 3 binary64) y) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) (fabs.f64 (*.f64 x y)))
(*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x y) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(pow.f64 (*.f64 (*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 x y))) (pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)))
(fabs.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) x)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y)) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) x)))))
(exp.f64 (/.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (*.f64 x y)) (log.f64 #s(literal 9 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (*.f64 x y)) (log.f64 #s(literal 9 binary64))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (log.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y))) (sinh.f64 (log.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y))))
(+.f64 (cosh.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (*.f64 x y)) (log.f64 #s(literal 9 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (*.f64 x y)) (log.f64 #s(literal 9 binary64))) #s(literal 1/2 binary64))))

eval50.0ms (0.8%)

Memory
-11.8MiB live, 89.4MiB allocated
Compiler

Compiled 8 138 to 1 486 computations (81.7% saved)

prune8.0ms (0.1%)

Memory
23.6MiB live, 23.6MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New4053408
Fresh112
Picked235
Done011
Total4088416
Accuracy
100.0%
Counts
416 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.2%
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
26.5%
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x)) z)
99.5%
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
65.8%
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64))) z)
71.4%
(-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y))) x) z)
55.5%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
46.3%
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
Compiler

Compiled 107 to 83 computations (22.4% saved)

simplify222.0ms (3.5%)

Memory
6.4MiB live, 95.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
035184
058180
1108170
2250170
3919170
42040170
53378170
64243170
75596170
86737170
96872170
106881170
117462170
127529170
137574170
147582170
157582170
167582170
177582170
010600169
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
x
y
#s(literal 3 binary64)
(-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y))) x) z)
(*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y))) x)
(sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)))
(*.f64 #s(literal 9 binary64) (*.f64 y y))
#s(literal 9 binary64)
(*.f64 y y)
y
x
z
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x)) z)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(sqrt.f64 x)
x
z
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
(*.f64 #s(literal 9 binary64) (*.f64 x x))
#s(literal 9 binary64)
(*.f64 x x)
x
y
(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
z
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
Outputs
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x y)
x
y
#s(literal 3 binary64)
(-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y))) x) z)
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64))) x) z)
(*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y))) x)
(*.f64 (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64))) x)
(sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)))
(sqrt.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)))
(*.f64 #s(literal 9 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 9 binary64))
#s(literal 9 binary64)
(*.f64 y y)
y
x
z
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x)) z)
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(sqrt.f64 x)
x
z
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 9 binary64) (*.f64 z z)) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
(*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
#s(literal 9 binary64)
(*.f64 x x)
x
y
(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 y (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
z
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(*.f64 (/.f64 z (fma.f64 (*.f64 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))

localize148.0ms (2.3%)

Memory
14.2MiB live, 153.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.250011884643763
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy1.4376127091464923
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
accuracy1.4571481003081845
(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy3.3058549319162016
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
accuracy0.0
(sqrt.f64 x)
accuracy0.00390625
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x)) z)
accuracy0.06478500976844201
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x))
accuracy0.339790629247377
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
accuracy0.00390625
(-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y))) x) z)
accuracy0.03125
(*.f64 #s(literal 9 binary64) (*.f64 y y))
accuracy0.2812022149476069
(*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y))) x)
accuracy6.993815125888235
(sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)))
accuracy0.0
(*.f64 x y)
accuracy0.0625
(*.f64 (*.f64 x y) #s(literal 3 binary64))
accuracy10.381610425463595
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
Samples
111.0ms187×0invalid
12.0ms52×0valid
7.0ms17×1valid
Compiler

Compiled 187 to 36 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-mult: 81.0ms (72.6% of total)
ival-sub: 17.0ms (15.2% of total)
ival-sqrt: 6.0ms (5.4% of total)
ival-div: 4.0ms (3.6% of total)
ival-add: 2.0ms (1.8% of total)
adjust: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series40.0ms (0.6%)

Memory
-10.0MiB live, 76.9MiB allocated
Counts
18 → 111
Calls
Call 1
Inputs
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
(-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y))) x) z)
(*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y))) x)
(sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)))
(*.f64 #s(literal 9 binary64) (*.f64 y y))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x)) z)
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 #s(literal 3 binary64) y)
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(*.f64 x x)
(sqrt.f64 x)
(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
Outputs
(* -1 z)
(- (* x (* y (pow (sqrt 3) 2))) z)
(* 3 (* x y))
(* x y)
(- (* 3 (* x y)) z)
(* 3 (* (sqrt x) y))
z
(+ z (* -3 (* x y)))
(+ z (* x (- (* x (- (* 9 (/ (pow y 2) z)) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(+ z (* x (- (* x (- (+ (* 9 (/ (pow y 2) z)) (* x (- (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(* 9 (* (pow x 2) y))
(* 9 (pow x 2))
(pow x 2)
(sqrt x)
(/ y z)
(+ (* -3 (/ (* x (pow y 2)) (pow z 2))) (/ y z))
(+ (* x (- (* 9 (/ (* x (pow y 3)) (pow z 3))) (* 3 (/ (pow y 2) (pow z 2))))) (/ y z))
(+ (* x (- (* x (- (* -27 (/ (* x (pow y 4)) (pow z 4))) (* -9 (/ (pow y 3) (pow z 3))))) (* 3 (/ (pow y 2) (pow z 2))))) (/ y z))
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
(* x (* y (pow (sqrt 3) 2)))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y))))
(* x (- (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))) (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2))))))
(/ 1/3 x)
(/ (+ 1/3 (* -1/9 (/ z (* x y)))) x)
(/ (- (+ 1/3 (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 2))))) (* 1/9 (/ z (* x y)))) x)
(/ (- (+ 1/3 (* -1/81 (/ (pow z 3) (* (pow x 3) (pow y 3))))) (+ (* -1/27 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (* 1/9 (/ z (* x y))))) x)
(* 1/3 (/ z (* x y)))
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(* -1 (* x (* y (pow (sqrt 3) 2))))
(* -1 (* x (+ (* y (pow (sqrt 3) 2)) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -3 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* 3 (* y (pow (sqrt -1) 2))) (/ z x))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow y 2))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -2/3 (/ (pow z 2) y))) x))) x)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (/ (- (* 1/9 (/ z (* x y))) 1/3) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 2)))) (* 1/9 (/ z y))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) (* x (pow y 3)))) (* 1/27 (/ (pow z 2) (pow y 2)))) x)) (* 1/9 (/ z y))) x)) 1/3) x))
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* 3 y)
(* 9 (pow y 2))
(+ z (* y (- (* y (- (* 9 (/ (pow x 2) z)) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(+ z (* y (- (* y (- (+ (* 9 (/ (pow x 2) z)) (* y (- (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(* y (+ (* -3 (/ (* x y) (pow z 2))) (/ 1 z)))
(* y (+ (* y (- (* 9 (/ (* (pow x 2) y) (pow z 3))) (* 3 (/ x (pow z 2))))) (/ 1 z)))
(* y (+ (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 4))) (* -9 (/ (pow x 2) (pow z 3))))) (* 3 (/ x (pow z 2))))) (/ 1 z)))
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z)))))
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))))
(* y (- (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3))))))
(+ (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x)))
(- (+ (* 1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 x))) (* 1/9 (/ z (* (pow x 2) y))))
(- (+ (* -1/81 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (* 1/3 (/ 1 x))) (+ (* -1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/9 (/ z (* (pow x 2) y)))))
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y)
(* -1 (* x (* y (pow (sqrt -3) 2))))
(* -1 (* y (+ (* x (pow (sqrt -3) 2)) (/ z y))))
(* -3 (* x y))
(* -1 (* y (+ (* 3 x) (/ z y))))
(* -3 y)
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow x 2))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -2/3 (/ (pow z 2) x))) y))) y)))))
(+ (* -1 (/ (- (* -1/27 (/ (pow z 2) (* (pow x 3) y))) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* (pow x 4) y))) (* -1/27 (/ (pow z 2) (pow x 3)))) y)) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x)))
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(+ (* -1 z) (* 3 (* x y)))
(+ (* 3 (* x y)) (* z (- (* 2/3 (/ z (* x y))) 1)))
(+ (* 3 (* x y)) (* z (- (* z (+ (* -2/9 (/ z (* (pow x 2) (pow y 2)))) (* 2/3 (/ 1 (* x y))))) 1)))
(+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 2)))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x)))
(+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 3)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x)))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(* z (- (+ 1 (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))))
(/ (+ y (* -3 (/ (* x (pow y 2)) z))) z)
(/ (- (+ y (* 9 (/ (* (pow x 2) (pow y 3)) (pow z 2)))) (* 3 (/ (* x (pow y 2)) z))) z)
(/ (- (+ y (* -27 (/ (* (pow x 3) (pow y 4)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 3)) (pow z 2))) (* 3 (/ (* x (pow y 2)) z)))) z)
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -9 (* (pow x 2) (pow y 2))) (* -1 (/ (- (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(* -1 (/ (+ (* -1 y) (* 3 (/ (* x (pow y 2)) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 3)) z)) (* 3 (* x (pow y 2)))) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 4)) z)) (* 9 (* (pow x 2) (pow y 3)))) z)) (* 3 (* x (pow y 2)))) z))) z))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
x
@inf
((- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (* (* x y) 3) (* x y) (- (* (sqrt (* 9 (* y y))) x) z) (* (sqrt (* 9 (* y y))) x) (sqrt (* 9 (* y y))) (* 9 (* y y)) (* (* (* 3 y) (sqrt x)) (sqrt x)) (- (* (* (* 3 y) (sqrt x)) (sqrt x)) z) (* (* 3 y) (sqrt x)) (* 3 y) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (sqrt x) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)))
8.0ms
y
@-inf
((- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (* (* x y) 3) (* x y) (- (* (sqrt (* 9 (* y y))) x) z) (* (sqrt (* 9 (* y y))) x) (sqrt (* 9 (* y y))) (* 9 (* y y)) (* (* (* 3 y) (sqrt x)) (sqrt x)) (- (* (* (* 3 y) (sqrt x)) (sqrt x)) z) (* (* 3 y) (sqrt x)) (* 3 y) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (sqrt x) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)))
5.0ms
x
@-inf
((- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (* (* x y) 3) (* x y) (- (* (sqrt (* 9 (* y y))) x) z) (* (sqrt (* 9 (* y y))) x) (sqrt (* 9 (* y y))) (* 9 (* y y)) (* (* (* 3 y) (sqrt x)) (sqrt x)) (- (* (* (* 3 y) (sqrt x)) (sqrt x)) z) (* (* 3 y) (sqrt x)) (* 3 y) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (sqrt x) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)))
4.0ms
y
@inf
((- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (* (* x y) 3) (* x y) (- (* (sqrt (* 9 (* y y))) x) z) (* (sqrt (* 9 (* y y))) x) (sqrt (* 9 (* y y))) (* 9 (* y y)) (* (* (* 3 y) (sqrt x)) (sqrt x)) (- (* (* (* 3 y) (sqrt x)) (sqrt x)) z) (* (* 3 y) (sqrt x)) (* 3 y) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (sqrt x) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)))
3.0ms
x
@0
((- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (* (* x y) 3) (* x y) (- (* (sqrt (* 9 (* y y))) x) z) (* (sqrt (* 9 (* y y))) x) (sqrt (* 9 (* y y))) (* 9 (* y y)) (* (* (* 3 y) (sqrt x)) (sqrt x)) (- (* (* (* 3 y) (sqrt x)) (sqrt x)) z) (* (* 3 y) (sqrt x)) (* 3 y) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (sqrt x) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)))

simplify265.0ms (4.1%)

Memory
0.4MiB live, 332.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06282335
120222161
271572137
084782005
Stop Event
iter limit
node limit
Counts
111 → 110
Calls
Call 1
Inputs
(* -1 z)
(- (* x (* y (pow (sqrt 3) 2))) z)
(* 3 (* x y))
(* x y)
(- (* 3 (* x y)) z)
(* 3 (* (sqrt x) y))
z
(+ z (* -3 (* x y)))
(+ z (* x (- (* x (- (* 9 (/ (pow y 2) z)) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(+ z (* x (- (* x (- (+ (* 9 (/ (pow y 2) z)) (* x (- (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(* 9 (* (pow x 2) y))
(* 9 (pow x 2))
(pow x 2)
(sqrt x)
(/ y z)
(+ (* -3 (/ (* x (pow y 2)) (pow z 2))) (/ y z))
(+ (* x (- (* 9 (/ (* x (pow y 3)) (pow z 3))) (* 3 (/ (pow y 2) (pow z 2))))) (/ y z))
(+ (* x (- (* x (- (* -27 (/ (* x (pow y 4)) (pow z 4))) (* -9 (/ (pow y 3) (pow z 3))))) (* 3 (/ (pow y 2) (pow z 2))))) (/ y z))
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
(* x (* y (pow (sqrt 3) 2)))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y))))
(* x (- (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))) (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2))))))
(/ 1/3 x)
(/ (+ 1/3 (* -1/9 (/ z (* x y)))) x)
(/ (- (+ 1/3 (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 2))))) (* 1/9 (/ z (* x y)))) x)
(/ (- (+ 1/3 (* -1/81 (/ (pow z 3) (* (pow x 3) (pow y 3))))) (+ (* -1/27 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (* 1/9 (/ z (* x y))))) x)
(* 1/3 (/ z (* x y)))
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(* -1 (* x (* y (pow (sqrt 3) 2))))
(* -1 (* x (+ (* y (pow (sqrt 3) 2)) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -3 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* 3 (* y (pow (sqrt -1) 2))) (/ z x))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow y 2))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -2/3 (/ (pow z 2) y))) x))) x)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (/ (- (* 1/9 (/ z (* x y))) 1/3) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 2)))) (* 1/9 (/ z y))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) (* x (pow y 3)))) (* 1/27 (/ (pow z 2) (pow y 2)))) x)) (* 1/9 (/ z y))) x)) 1/3) x))
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* 3 y)
(* 9 (pow y 2))
(+ z (* y (- (* y (- (* 9 (/ (pow x 2) z)) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(+ z (* y (- (* y (- (+ (* 9 (/ (pow x 2) z)) (* y (- (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(* y (+ (* -3 (/ (* x y) (pow z 2))) (/ 1 z)))
(* y (+ (* y (- (* 9 (/ (* (pow x 2) y) (pow z 3))) (* 3 (/ x (pow z 2))))) (/ 1 z)))
(* y (+ (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 4))) (* -9 (/ (pow x 2) (pow z 3))))) (* 3 (/ x (pow z 2))))) (/ 1 z)))
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z)))))
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))))
(* y (- (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3))))))
(+ (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x)))
(- (+ (* 1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 x))) (* 1/9 (/ z (* (pow x 2) y))))
(- (+ (* -1/81 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (* 1/3 (/ 1 x))) (+ (* -1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/9 (/ z (* (pow x 2) y)))))
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y)
(* -1 (* x (* y (pow (sqrt -3) 2))))
(* -1 (* y (+ (* x (pow (sqrt -3) 2)) (/ z y))))
(* -3 (* x y))
(* -1 (* y (+ (* 3 x) (/ z y))))
(* -3 y)
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow x 2))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -2/3 (/ (pow z 2) x))) y))) y)))))
(+ (* -1 (/ (- (* -1/27 (/ (pow z 2) (* (pow x 3) y))) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* (pow x 4) y))) (* -1/27 (/ (pow z 2) (pow x 3)))) y)) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x)))
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(+ (* -1 z) (* 3 (* x y)))
(+ (* 3 (* x y)) (* z (- (* 2/3 (/ z (* x y))) 1)))
(+ (* 3 (* x y)) (* z (- (* z (+ (* -2/9 (/ z (* (pow x 2) (pow y 2)))) (* 2/3 (/ 1 (* x y))))) 1)))
(+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 2)))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x)))
(+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 3)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x)))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(* z (- (+ 1 (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))))
(/ (+ y (* -3 (/ (* x (pow y 2)) z))) z)
(/ (- (+ y (* 9 (/ (* (pow x 2) (pow y 3)) (pow z 2)))) (* 3 (/ (* x (pow y 2)) z))) z)
(/ (- (+ y (* -27 (/ (* (pow x 3) (pow y 4)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 3)) (pow z 2))) (* 3 (/ (* x (pow y 2)) z)))) z)
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -9 (* (pow x 2) (pow y 2))) (* -1 (/ (- (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(* -1 (/ (+ (* -1 y) (* 3 (/ (* x (pow y 2)) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 3)) z)) (* 3 (* x (pow y 2)))) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 4)) z)) (* 9 (* (pow x 2) (pow y 3)))) z)) (* 3 (* x (pow y 2)))) z))) z))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
Outputs
(* -1 z)
(neg.f64 z)
(- (* x (* y (pow (sqrt 3) 2))) z)
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(* x y)
(*.f64 x y)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
z
(+ z (* -3 (* x y)))
(fma.f64 #s(literal -3 binary64) (*.f64 x y) z)
(+ z (* x (- (* x (- (* 9 (/ (pow y 2) z)) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(fma.f64 (fma.f64 #s(literal -3 binary64) y (*.f64 (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y y) z)) x)) x z)
(+ z (* x (- (* x (- (+ (* 9 (/ (pow y 2) z)) (* x (- (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -54 binary64)) (*.f64 z z)) x (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y y) z))) x (*.f64 #s(literal -3 binary64) y)) x z)
(* 9 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 9 binary64))
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(pow x 2)
(*.f64 x x)
(sqrt x)
(sqrt.f64 x)
(/ y z)
(/.f64 y z)
(+ (* -3 (/ (* x (pow y 2)) (pow z 2))) (/ y z))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal -3 binary64) y) z)
(+ (* x (- (* 9 (/ (* x (pow y 3)) (pow z 3))) (* 3 (/ (pow y 2) (pow z 2))))) (/ y z))
(fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 9 binary64)) z)) (*.f64 z z)) x (/.f64 y z))
(+ (* x (- (* x (- (* -27 (/ (* x (pow y 4)) (pow z 4))) (* -9 (/ (pow y 3) (pow z 3))))) (* 3 (/ (pow y 2) (pow z 2))))) (/ y z))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 9 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal -27 binary64)) (pow.f64 z #s(literal 4 binary64)))) x (*.f64 (/.f64 (/.f64 (*.f64 y y) z) z) #s(literal -3 binary64))) x (/.f64 y z))
1
#s(literal 1 binary64)
(+ 1 (* -3 (/ (* x y) z)))
(fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) z)) z) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9 binary64) y) y (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -27 binary64)) x) z)) (*.f64 z z)) x (*.f64 (/.f64 y z) #s(literal -3 binary64))) x #s(literal 1 binary64))
(* x (* y (pow (sqrt 3) 2)))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* x (+ (* -1 (/ z x)) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y))))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (fma.f64 (*.f64 z (/.f64 (/.f64 z x) y)) #s(literal 2/3 binary64) (neg.f64 z)) x)) x)
(* x (- (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))) (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 y y)) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 y y)) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) y (/.f64 (fma.f64 (*.f64 z (/.f64 (/.f64 z x) y)) #s(literal 2/3 binary64) (neg.f64 z)) x)))) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* -1/9 (/ z (* x y)))) x)
(/.f64 (fma.f64 (/.f64 (/.f64 z x) y) #s(literal -1/9 binary64) #s(literal 1/3 binary64)) x)
(/ (- (+ 1/3 (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 2))))) (* 1/9 (/ z (* x y)))) x)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (/.f64 (*.f64 z (/.f64 z y)) y) (*.f64 (/.f64 z y) #s(literal -1/9 binary64))) x) #s(literal 1/3 binary64)) x)
(/ (- (+ 1/3 (* -1/81 (/ (pow z 3) (* (pow x 3) (pow y 3))))) (+ (* -1/27 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (* 1/9 (/ z (* x y))))) x)
(/.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 z x) y) #s(literal 3 binary64)) #s(literal -1/81 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (/.f64 (*.f64 z (/.f64 z y)) y) (*.f64 (/.f64 z y) #s(literal -1/9 binary64))) x) #s(literal 1/3 binary64))) x)
(* 1/3 (/ z (* x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) y) z)
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(*.f64 (fma.f64 (/.f64 (/.f64 z (*.f64 (*.f64 x x) y)) y) #s(literal -1/9 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) y)) z)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/.f64 (fma.f64 (/.f64 z y) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/9 binary64))) x)) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 z y) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/9 binary64))) x))) x)
(* -1 (* x (* y (pow (sqrt 3) 2))))
(*.f64 #s(literal -3 binary64) (*.f64 x y))
(* -1 (* x (+ (* y (pow (sqrt 3) 2)) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 z x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* -3 (* x (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(* -1 (* x (+ (* 3 (* y (pow (sqrt -1) 2))) (/ z x))))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 (fma.f64 (*.f64 z (/.f64 (/.f64 z x) y)) #s(literal 2/3 binary64) (neg.f64 z)) (neg.f64 x))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow y 2))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -2/3 (/ (pow z 2) y))) x))) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -2/3 binary64) (/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2/9 binary64)) (*.f64 y y)) (neg.f64 x))) (neg.f64 x)) z) (neg.f64 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(* -1 (/ (- (* 1/9 (/ z (* x y))) 1/3) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 z x) #s(literal -1/3 binary64)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 2)))) (* 1/9 (/ z y))) x)) 1/3) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (/.f64 (*.f64 z (/.f64 z y)) y) (*.f64 (/.f64 z y) #s(literal -1/9 binary64))) (neg.f64 x)) #s(literal 1/3 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) (* x (pow y 3)))) (* 1/27 (/ (pow z 2) (pow y 2)))) x)) (* 1/9 (/ z y))) x)) 1/3) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -1/9 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/27 binary64))) (neg.f64 x))) (neg.f64 x)) #s(literal 1/3 binary64)) (neg.f64 x))
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 y y)) (*.f64 z (/.f64 z x)) (*.f64 #s(literal -1/3 binary64) (/.f64 z y))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/9 binary64))) (neg.f64 x))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (/.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/9 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 x))) (neg.f64 x))) (neg.f64 x))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 9 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 9 binary64))
(+ z (* y (- (* y (- (* 9 (/ (pow x 2) z)) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(fma.f64 (fma.f64 #s(literal -3 binary64) x (*.f64 (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 x x) z)) y)) y z)
(+ z (* y (- (* y (- (+ (* 9 (/ (pow x 2) z)) (* y (- (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -54 binary64)) (*.f64 z z)) y (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 x x) z))) y (*.f64 #s(literal -3 binary64) x)) y z)
(* y (+ (* -3 (/ (* x y) (pow z 2))) (/ 1 z)))
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z) y)
(* y (+ (* y (- (* 9 (/ (* (pow x 2) y) (pow z 3))) (* 3 (/ x (pow z 2))))) (/ 1 z)))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) y) #s(literal 9 binary64)) z)) (*.f64 z z)) y (/.f64 #s(literal 1 binary64) z)) y)
(* y (+ (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 4))) (* -9 (/ (pow x 2) (pow z 3))))) (* 3 (/ x (pow z 2))))) (/ 1 z)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (/.f64 y (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (pow.f64 z #s(literal 3 binary64)))) y (*.f64 (/.f64 x (*.f64 z z)) #s(literal -3 binary64))) y (/.f64 #s(literal 1 binary64) z)) y)
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))
(fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) y) #s(literal 9 binary64)) z)) z) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z)))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9 binary64) x) x (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) y) z)) (*.f64 z z)) y (*.f64 (/.f64 x z) #s(literal -3 binary64))) y #s(literal 1 binary64))
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y)
(* y (+ (* -1 (/ z y)) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))))
(*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (fma.f64 (*.f64 z (/.f64 (/.f64 z x) y)) #s(literal 2/3 binary64) (neg.f64 z)) y)) y)
(* y (- (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) (/.f64 (fma.f64 (*.f64 z (/.f64 (/.f64 z x) y)) #s(literal 2/3 binary64) (neg.f64 z)) y)))) y)
(+ (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x)))
(/.f64 (fma.f64 (/.f64 (/.f64 z x) y) #s(literal -1/9 binary64) #s(literal 1/3 binary64)) x)
(- (+ (* 1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 x))) (* 1/9 (/ z (* (pow x 2) y))))
(fma.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 y y)) (*.f64 z (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 (/.f64 z x) y) #s(literal -1/9 binary64) #s(literal 1/3 binary64)) x))
(- (+ (* -1/81 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (* 1/3 (/ 1 x))) (+ (* -1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/9 (/ z (* (pow x 2) y)))))
(fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 y y)) (*.f64 z (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 (/.f64 z x) y) #s(literal -1/9 binary64) #s(literal 1/3 binary64)) x)))
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y)
(*.f64 (fma.f64 (/.f64 (/.f64 z (*.f64 (*.f64 x x) y)) y) #s(literal -1/9 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) y)) z)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z x) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) y) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (*.f64 (*.f64 z (/.f64 (/.f64 z x) x)) #s(literal -1/9 binary64))) y)) y)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y)
(/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 1/3 binary64) (/.f64 z x) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) y) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (*.f64 (*.f64 z (/.f64 (/.f64 z x) x)) #s(literal -1/9 binary64))) y))) y)
(* -1 (* x (* y (pow (sqrt -3) 2))))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(* -1 (* y (+ (* x (pow (sqrt -3) 2)) (/ z y))))
(*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y)
(* -3 (* x y))
(*.f64 #s(literal -3 binary64) (*.f64 x y))
(* -1 (* y (+ (* 3 x) (/ z y))))
(*.f64 (neg.f64 y) (fma.f64 x #s(literal 3 binary64) (/.f64 z y)))
(* -3 y)
(*.f64 #s(literal -3 binary64) y)
(* -1 (* y (+ (* -3 x) (/ z y))))
(*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y)
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) y)))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -3 binary64) x (/.f64 (fma.f64 (*.f64 z (/.f64 (/.f64 z x) y)) #s(literal 2/3 binary64) (neg.f64 z)) (neg.f64 y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow x 2))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -2/3 (/ (pow z 2) x))) y))) y)))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -3 binary64) x (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z x)) #s(literal -2/3 binary64) (/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2/9 binary64)) (*.f64 x x)) (neg.f64 y))) (neg.f64 y)) z) (neg.f64 y))))
(+ (* -1 (/ (- (* -1/27 (/ (pow z 2) (* (pow x 3) y))) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x)))
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 z (/.f64 z y)) (*.f64 (/.f64 (/.f64 z x) x) #s(literal 1/9 binary64))) (neg.f64 y)) (/.f64 #s(literal -1/3 binary64) x))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* (pow x 4) y))) (* -1/27 (/ (pow z 2) (pow x 3)))) y)) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 z x) x) #s(literal 1/9 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/27 binary64) z) z) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 y))) y) #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y))
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 y y)) (*.f64 z (/.f64 z x)) (*.f64 #s(literal -1/3 binary64) (/.f64 z y))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z x) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) y) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (*.f64 (*.f64 z (/.f64 (/.f64 z x) x)) #s(literal -1/9 binary64))) (neg.f64 y))) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z x) (/.f64 (fma.f64 (*.f64 z (/.f64 (/.f64 z x) x)) #s(literal -1/9 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (*.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 y))) (neg.f64 y))) (neg.f64 y))
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(+ (* 3 (* x y)) (* z (- (* 2/3 (/ z (* x y))) 1)))
(fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x y)) z) #s(literal 1 binary64)) z (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(+ (* 3 (* x y)) (* z (- (* z (+ (* -2/9 (/ z (* (pow x 2) (pow y 2)))) (* 2/3 (/ 1 (* x y))))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (/.f64 z (*.f64 (*.f64 x x) y)) y) #s(literal -2/9 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x y))) z) #s(literal 1 binary64)) z (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 2)))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 y y)) (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x x) y))) z (/.f64 #s(literal 1/3 binary64) x))
(+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 3)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x x) y))) z (/.f64 #s(literal 1/3 binary64) x))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (fma.f64 (/.f64 (/.f64 z (*.f64 (*.f64 x x) y)) y) #s(literal -1/9 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) y)) z)
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 (/.f64 #s(literal 1/3 binary64) x) y)) z)
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 (/.f64 #s(literal 1/3 binary64) x) y)) z)
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1 binary64)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1 binary64)) z)
(* z (+ 1 (* -3 (/ (* x y) z))))
(*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) z)
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -18 binary64) (*.f64 (*.f64 (*.f64 y y) x) x)) z) z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64))) z)
(* z (- (+ 1 (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))))
(*.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -27 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 x x) z) #s(literal 9 binary64)) (/.f64 (*.f64 y y) z) #s(literal 1 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 27 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal -9 binary64) (*.f64 (*.f64 x y) #s(literal 3 binary64))) z))) z)
(/ (+ y (* -3 (/ (* x (pow y 2)) z))) z)
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal -3 binary64) y) z)
(/ (- (+ y (* 9 (/ (* (pow x 2) (pow y 3)) (pow z 2)))) (* 3 (/ (* x (pow y 2)) z))) z)
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -3 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x) z) #s(literal 9 binary64))) z) y) z)
(/ (- (+ y (* -27 (/ (* (pow x 3) (pow y 4)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 3)) (pow z 2))) (* 3 (/ (* x (pow y 2)) z)))) z)
(/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) #s(literal -27 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -3 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x) z) #s(literal 9 binary64))) z) y)) z)
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal -9 binary64) (*.f64 (*.f64 x y) #s(literal 3 binary64))) z))
(- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))
(-.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -27 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal -9 binary64) (*.f64 (*.f64 x y) #s(literal 3 binary64))) z))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
(*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(*.f64 (-.f64 (*.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x) y (/.f64 (*.f64 #s(literal -18 binary64) (*.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 z))) (neg.f64 z)) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -9 (* (pow x 2) (pow y 2))) (* -1 (/ (- (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x) y (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -54 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) z) #s(literal -1 binary64) (*.f64 #s(literal -18 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) (neg.f64 z))) (neg.f64 z)) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (/ (+ (* -1 y) (* 3 (/ (* x (pow y 2)) z))) z))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 3 binary64) (neg.f64 y)) (neg.f64 z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 3)) z)) (* 3 (* x (pow y 2)))) z))) z))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -3 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x) z) #s(literal 9 binary64))) z) y)) z)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 4)) z)) (* 9 (* (pow x 2) (pow y 3)))) z)) (* 3 (* x (pow y 2)))) z))) z))
(/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) x (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -9 binary64)) (*.f64 x x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) z))) (neg.f64 z))) z)) (neg.f64 z))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal -9 binary64) (*.f64 (*.f64 x y) #s(literal 3 binary64))) z))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) z) #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 9 binary64))) (neg.f64 z))) z))

rewrite232.0ms (3.6%)

Memory
9.5MiB live, 387.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035146
058140
1183122
21152101
09203101
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 091
Calls
Call 1
Inputs
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
(-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y))) x) z)
(*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y))) x)
(sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)))
(*.f64 #s(literal 9 binary64) (*.f64 y y))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x)) z)
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 #s(literal 3 binary64) y)
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(*.f64 x x)
(sqrt.f64 x)
(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
Outputs
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 #s(literal -3 binary64) (*.f64 x y)))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) y))
(*.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))
(*.f64 #s(literal -3 binary64) (*.f64 x y))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 #s(literal -3 binary64) (*.f64 x y))))) (sqrt.f64 x))
(*.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) y)) x) (sqrt.f64 y))) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 x))) (*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 x))))
(*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 x)) (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 1/4 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 x)) (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) y)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) y)) (neg.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal -3 binary64) y))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal -3 binary64) y))))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) y))) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) y)) x))
(*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) y)) x)))
(*.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (sqrt.f64 x))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) y)) x)) (sqrt.f64 (*.f64 #s(literal -3 binary64) y)))
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fabs.f64 (*.f64 (sqrt.f64 x) y)))
(*.f64 (fabs.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (sqrt.f64 x))
(*.f64 (fabs.f64 (*.f64 #s(literal -3 binary64) y)) x)
(*.f64 (fabs.f64 (*.f64 x #s(literal 3 binary64))) y)
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 #s(literal -3 binary64) (*.f64 x y))))) (sqrt.f64 x))
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(/.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))))
(/.f64 (*.f64 y (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))))))
(/.f64 (*.f64 y (neg.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z))))
(/.f64 (*.f64 y (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))
(/.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))))))
(/.f64 y (neg.f64 (neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z)))))
(/.f64 y (neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z))))
(/.f64 y (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z)))
(/.f64 y (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))
(neg.f64 (/.f64 y (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))
(*.f64 (/.f64 z (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z))) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) z))
(*.f64 (/.f64 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 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z)))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))))
(/.f64 (*.f64 z (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))))))
(/.f64 (*.f64 z (neg.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z))))
(/.f64 (*.f64 z (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))))
(/.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))))))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z))))
(/.f64 (neg.f64 z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z)))
(/.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))
(neg.f64 (/.f64 (neg.f64 z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))
(neg.f64 (/.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z))))

eval379.0ms (5.9%)

Memory
-12.6MiB live, 233.1MiB allocated
Compiler

Compiled 26 307 to 2 177 computations (91.7% saved)

prune18.0ms (0.3%)

Memory
-2.0MiB live, 51.5MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New8394843
Fresh000
Picked314
Done224
Total8447851
Accuracy
100.0%
Counts
851 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.2%
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
89.6%
#s(approx (- (* (* (* 3 y) (sqrt x)) (sqrt x)) z) (*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y))
55.5%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
46.3%
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
46.3%
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
46.0%
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x)))
Compiler

Compiled 108 to 86 computations (20.4% saved)

simplify250.0ms (3.9%)

Memory
19.3MiB live, 106.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
cost-diff0
(/.f64 (neg.f64 z) y)
cost-diff0
(fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y))
cost-diff0
#s(approx (- (* (* (* 3 y) (sqrt x)) (sqrt x)) z) (*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y))
cost-diff2
(*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y)
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
cost-diff0
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 #s(literal -3 binary64) y)
cost-diff0
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x)))
cost-diff1
(*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x))
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
032128
044130
177126
2147122
3334122
4866122
51140118
61213118
71336118
81723118
92450118
102959118
113147118
123186118
133193118
143193118
155268118
165363118
175429118
185512118
195592118
205672118
216254118
226311118
236323118
246327118
256327118
266327118
276327118
286327118
08979118
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x)))
(*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x))
(*.f64 #s(literal -3 binary64) y)
#s(literal -3 binary64)
y
(neg.f64 x)
x
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
#s(approx (- (* (* (* 3 y) (sqrt x)) (sqrt x)) z) (*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y))
(*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y)
(fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y))
x
#s(literal 3 binary64)
(/.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
(*.f64 x y)
x
y
#s(literal 3 binary64)
z
Outputs
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x)))
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 #s(literal -3 binary64) y)
#s(literal -3 binary64)
y
(neg.f64 x)
x
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
#s(approx (- (* (* (* 3 y) (sqrt x)) (sqrt x)) z) (*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y))
#s(approx (- (* (* (* 3 y) (sqrt x)) (sqrt x)) z) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x) y z)))
(*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y)
(neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x) y z))
(fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 #s(literal -3 binary64) x (/.f64 z y)))
x
#s(literal 3 binary64)
(/.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
(*.f64 x y)
x
y
#s(literal 3 binary64)
z

localize94.0ms (1.5%)

Memory
19.7MiB live, 157.1MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x y)
accuracy0.02734375
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
accuracy0.0
(neg.f64 z)
accuracy0.0
#s(approx (- (* (* (* 3 y) (sqrt x)) (sqrt x)) z) (*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y))
accuracy0.0078125
(fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y))
accuracy0.9639268193292394
(*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y)
accuracy0.0
(*.f64 x #s(literal 3 binary64))
accuracy0.07421875
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
accuracy10.381610425463595
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
accuracy0.0
(*.f64 #s(literal -3 binary64) y)
accuracy0.0
(neg.f64 x)
accuracy0.2812022149476069
(*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x))
accuracy10.381610425463595
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x)))
Samples
61.0ms187×0invalid
13.0ms64×0valid
1.0ms2valid
1.0ms1valid
Compiler

Compiled 110 to 32 computations (70.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 47.0ms (76.8% of total)
ival-sqrt: 5.0ms (8.2% of total)
ival-div: 2.0ms (3.3% of total)
ival-add: 2.0ms (3.3% of total)
ival-sub: 2.0ms (3.3% of total)
ival-neg: 2.0ms (3.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series73.0ms (1.1%)

Memory
-13.5MiB live, 30.8MiB allocated
Counts
14 → 42
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x))
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x)))
(*.f64 #s(literal -3 binary64) y)
(neg.f64 x)
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y)
#s(approx (- (* (* (* 3 y) (sqrt x)) (sqrt x)) z) (*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y))
(fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 z) y)
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
(*.f64 x y)
(neg.f64 z)
Outputs
(* 3 (* x y))
(* -1 z)
(- (* x (* y (pow (sqrt 3) 2))) z)
(* -1 x)
(* 3 x)
(+ (* -1 z) (* 3 (* x y)))
(- (* 3 (* x y)) z)
(* -1 (/ z y))
(+ (* -1 (/ z y)) (* 3 x))
z
(+ z (* 3 (* x y)))
(* x y)
(* x (* y (pow (sqrt 3) 2)))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ 3 (* -1 (/ z (* x y)))))
(* x (+ (* 3 y) (/ z x)))
(* -1 (* x (* y (pow (sqrt 3) 2))))
(* -1 (* x (+ (* y (pow (sqrt 3) 2)) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -3 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* 3 (* y (pow (sqrt -1) 2))) (/ z x))))
(* -1 (* x (- (/ z (* x y)) 3)))
(* -1 (* x (+ (* -3 y) (* -1 (/ z x)))))
(* -3 y)
(/ (+ (* -1 z) (* 3 (* x y))) y)
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* 3 x) (/ z y)))
(* -1 (* x (* y (pow (sqrt -3) 2))))
(* -1 (* y (+ (* x (pow (sqrt -3) 2)) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ z y)))))
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ x z)) (/ 1 y)))
(* z (+ 1 (* 3 (/ (* x y) z))))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ (* -3 (/ x z)) (/ 1 y))))
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
Calls

9 calls:

TimeVariablePointExpression
54.0ms
x
@inf
((* (* -3 y) (neg x)) (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (* -3 y) (neg x) (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (* (* x 3) y) (* x 3) (* (+ (* x 3) (/ (neg z) y)) y) (- (* (* (* 3 y) (sqrt x)) (sqrt x)) z) (+ (* x 3) (/ (neg z) y)) (/ (neg z) y) (+ (* (* x y) 3) z) (* x y) (neg z))
6.0ms
x
@0
((* (* -3 y) (neg x)) (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (* -3 y) (neg x) (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (* (* x 3) y) (* x 3) (* (+ (* x 3) (/ (neg z) y)) y) (- (* (* (* 3 y) (sqrt x)) (sqrt x)) z) (+ (* x 3) (/ (neg z) y)) (/ (neg z) y) (+ (* (* x y) 3) z) (* x y) (neg z))
2.0ms
x
@-inf
((* (* -3 y) (neg x)) (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (* -3 y) (neg x) (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (* (* x 3) y) (* x 3) (* (+ (* x 3) (/ (neg z) y)) y) (- (* (* (* 3 y) (sqrt x)) (sqrt x)) z) (+ (* x 3) (/ (neg z) y)) (/ (neg z) y) (+ (* (* x y) 3) z) (* x y) (neg z))
2.0ms
y
@inf
((* (* -3 y) (neg x)) (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (* -3 y) (neg x) (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (* (* x 3) y) (* x 3) (* (+ (* x 3) (/ (neg z) y)) y) (- (* (* (* 3 y) (sqrt x)) (sqrt x)) z) (+ (* x 3) (/ (neg z) y)) (/ (neg z) y) (+ (* (* x y) 3) z) (* x y) (neg z))
2.0ms
y
@0
((* (* -3 y) (neg x)) (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (* -3 y) (neg x) (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (* (* x 3) y) (* x 3) (* (+ (* x 3) (/ (neg z) y)) y) (- (* (* (* 3 y) (sqrt x)) (sqrt x)) z) (+ (* x 3) (/ (neg z) y)) (/ (neg z) y) (+ (* (* x y) 3) z) (* x y) (neg z))

simplify169.0ms (2.6%)

Memory
-1.0MiB live, 178.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113317
1360255
21288255
33853253
45875253
08274246
Stop Event
iter limit
node limit
Counts
42 → 41
Calls
Call 1
Inputs
(* 3 (* x y))
(* -1 z)
(- (* x (* y (pow (sqrt 3) 2))) z)
(* -1 x)
(* 3 x)
(+ (* -1 z) (* 3 (* x y)))
(- (* 3 (* x y)) z)
(* -1 (/ z y))
(+ (* -1 (/ z y)) (* 3 x))
z
(+ z (* 3 (* x y)))
(* x y)
(* x (* y (pow (sqrt 3) 2)))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ 3 (* -1 (/ z (* x y)))))
(* x (+ (* 3 y) (/ z x)))
(* -1 (* x (* y (pow (sqrt 3) 2))))
(* -1 (* x (+ (* y (pow (sqrt 3) 2)) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -3 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* 3 (* y (pow (sqrt -1) 2))) (/ z x))))
(* -1 (* x (- (/ z (* x y)) 3)))
(* -1 (* x (+ (* -3 y) (* -1 (/ z x)))))
(* -3 y)
(/ (+ (* -1 z) (* 3 (* x y))) y)
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* 3 x) (/ z y)))
(* -1 (* x (* y (pow (sqrt -3) 2))))
(* -1 (* y (+ (* x (pow (sqrt -3) 2)) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ z y)))))
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ x z)) (/ 1 y)))
(* z (+ 1 (* 3 (/ (* x y) z))))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ (* -3 (/ x z)) (/ 1 y))))
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
Outputs
(* 3 (* x y))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(* -1 z)
(neg.f64 z)
(- (* x (* y (pow (sqrt 3) 2))) z)
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(* -1 x)
(neg.f64 x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(+ (* -1 (/ z y)) (* 3 x))
(fma.f64 #s(literal 3 binary64) x (/.f64 (neg.f64 z) y))
z
(+ z (* 3 (* x y)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
(* x y)
(*.f64 x y)
(* x (* y (pow (sqrt 3) 2)))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(* x (+ 3 (* -1 (/ z (* x y)))))
(fma.f64 #s(literal 3 binary64) x (/.f64 (neg.f64 z) y))
(* x (+ (* 3 y) (/ z x)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
(* -1 (* x (* y (pow (sqrt 3) 2))))
(*.f64 (*.f64 #s(literal -3 binary64) x) y)
(* -1 (* x (+ (* y (pow (sqrt 3) 2)) (/ z x))))
(fma.f64 (*.f64 #s(literal -3 binary64) x) y (neg.f64 z))
(* -1 (* x (+ (* -3 y) (/ z x))))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(* -3 (* x (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(* -1 (* x (+ (* 3 (* y (pow (sqrt -1) 2))) (/ z x))))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(* -1 (* x (- (/ z (* x y)) 3)))
(fma.f64 #s(literal 3 binary64) x (/.f64 (neg.f64 z) y))
(* -1 (* x (+ (* -3 y) (* -1 (/ z x)))))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
(* -3 y)
(*.f64 #s(literal -3 binary64) y)
(/ (+ (* -1 z) (* 3 (* x y))) y)
(fma.f64 #s(literal 3 binary64) x (/.f64 (neg.f64 z) y))
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(* y (+ (* 3 x) (/ z y)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
(* -1 (* x (* y (pow (sqrt -3) 2))))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(* -1 (* y (+ (* x (pow (sqrt -3) 2)) (/ z y))))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(* -1 (* y (+ (* -3 x) (/ z y))))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(* -1 (* y (+ (* -3 x) (* -1 (/ z y)))))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(* z (- (* 3 (/ x z)) (/ 1 y)))
(fma.f64 #s(literal 3 binary64) x (/.f64 (neg.f64 z) y))
(* z (+ 1 (* 3 (/ (* x y) z))))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(* -1 (* z (+ (* -3 (/ x z)) (/ 1 y))))
(fma.f64 #s(literal 3 binary64) x (/.f64 (neg.f64 z) y))
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)

rewrite347.0ms (5.4%)

Memory
-16.4MiB live, 357.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032114
044114
1137102
285992
0847392
Stop Event
iter limit
node limit
iter limit
Counts
14 → 616
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x))
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x)))
(*.f64 #s(literal -3 binary64) y)
(neg.f64 x)
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y)
#s(approx (- (* (* (* 3 y) (sqrt x)) (sqrt x)) z) (*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y))
(fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 z) y)
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
(*.f64 x y)
(neg.f64 z)
Outputs
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64))) (sqrt.f64 (*.f64 #s(literal 3 binary64) x))) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 x y)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64))) (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal 3 binary64) x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 x))) (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) x) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 y)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) x)) (sqrt.f64 (*.f64 #s(literal 3 binary64) x))) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) x)) (sqrt.f64 (*.f64 #s(literal 3 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)))))
(*.f64 (*.f64 (neg.f64 x) #s(literal -3 binary64)) y)
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fabs.f64 (*.f64 (sqrt.f64 x) y)))
(*.f64 (fabs.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (sqrt.f64 x))
(*.f64 (fabs.f64 (*.f64 x y)) #s(literal 3 binary64))
(*.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) y)) x)
(*.f64 (fabs.f64 y) (*.f64 #s(literal 3 binary64) x))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fabs.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)))) (fabs.f64 (sqrt.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)))))
(*.f64 (fabs.f64 (sqrt.f64 y)) (fabs.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) x))))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y))) (fabs.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) x)))
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) x)) (fabs.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 3 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64))) (sqrt.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64))))
(*.f64 (sqrt.f64 (*.f64 y y)) (*.f64 #s(literal 3 binary64) x))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 3 binary64) y))) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 3 binary64) y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (*.f64 (sqrt.f64 x) y))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (*.f64 (sqrt.f64 x) y))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) (sqrt.f64 (*.f64 #s(literal 3 binary64) y)))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) x)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) x)) (sqrt.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) (sqrt.f64 (*.f64 #s(literal 3 binary64) y)))))
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) y) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 3 binary64) x)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 3 binary64) y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 3 binary64) y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (*.f64 (sqrt.f64 x) y)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) (sqrt.f64 (*.f64 #s(literal 3 binary64) y))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) (sqrt.f64 (*.f64 #s(literal 3 binary64) y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) x)) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) x)) (sqrt.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) x)) (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) x)) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (*.f64 y #s(literal -3 binary64)) (neg.f64 x))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (*.f64 (sqrt.f64 x) y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1/4 binary64)) (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 3 binary64) y))))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) x) (sqrt.f64 (*.f64 #s(literal 3 binary64) y))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) x)))
(*.f64 (*.f64 (neg.f64 y) x) #s(literal -3 binary64))
(*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (neg.f64 y) (*.f64 x #s(literal -3 binary64)))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (fabs.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(*.f64 (*.f64 #s(literal 3 binary64) x) (fabs.f64 y))
(*.f64 (*.f64 #s(literal 3 binary64) x) (sqrt.f64 (*.f64 y y)))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) x))
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(fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)))
(fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (-.f64 z (*.f64 (*.f64 x y) #s(literal 3 binary64))) z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (-.f64 z (*.f64 (*.f64 x y) #s(literal 3 binary64))) z))))
(fma.f64 (neg.f64 y) (*.f64 x #s(literal -3 binary64)) z)
(fma.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (-.f64 z (*.f64 (*.f64 x y) #s(literal 3 binary64))) z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (-.f64 z (*.f64 (*.f64 x y) #s(literal 3 binary64))) z))))
(fma.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)))
(fma.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (-.f64 z (*.f64 (*.f64 x y) #s(literal 3 binary64))) z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (-.f64 z (*.f64 (*.f64 x y) #s(literal 3 binary64))) z))))
(fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
(fma.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 3 binary64) y)) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (sqrt.f64 x) z)
(fma.f64 (sqrt.f64 x) (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (*.f64 (sqrt.f64 x) y)) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)))
(fma.f64 (sqrt.f64 x) (fabs.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) z)
(fma.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) z)
(fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) y) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (fabs.f64 y) z)
(fma.f64 (*.f64 #s(literal 3 binary64) x) (sqrt.f64 (*.f64 y y)) z)
(fma.f64 (*.f64 #s(literal 3 binary64) x) y z)
(fma.f64 z (/.f64 (*.f64 z z) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (-.f64 z (*.f64 (*.f64 x y) #s(literal 3 binary64))) z))) (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (-.f64 z (*.f64 (*.f64 x y) #s(literal 3 binary64))) z))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) x) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x z)
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) x) (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) (sqrt.f64 (*.f64 #s(literal 3 binary64) y))) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) x) (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) z)
(fma.f64 (*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)))
(fma.f64 #s(literal 3 binary64) (fabs.f64 (*.f64 x y)) z)
(fma.f64 #s(literal 3 binary64) (sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(fma.f64 (neg.f64 x) (*.f64 y #s(literal -3 binary64)) z)
(fma.f64 x (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) x) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)))
(fma.f64 x (fabs.f64 (*.f64 #s(literal 3 binary64) y)) z)
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) x) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)))
(fma.f64 y (*.f64 (neg.f64 x) #s(literal -3 binary64)) z)
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(fma.f64 #s(literal -3 binary64) (*.f64 (neg.f64 y) x) z)
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 z (*.f64 (*.f64 x y) #s(literal 3 binary64)))))
(-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z))) (*.f64 z (/.f64 z (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z))))
(-.f64 z (*.f64 (*.f64 x y) #s(literal -3 binary64)))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (-.f64 z (*.f64 (*.f64 x y) #s(literal 3 binary64))) z))) (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (-.f64 z (*.f64 (*.f64 x y) #s(literal 3 binary64))) z))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (-.f64 z (*.f64 (*.f64 x y) #s(literal 3 binary64))) z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (-.f64 z (*.f64 (*.f64 x y) #s(literal 3 binary64))) z))))
(+.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z))) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)))
(+.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)
(+.f64 z (*.f64 (neg.f64 (*.f64 (neg.f64 y) x)) #s(literal 3 binary64)))
(+.f64 z (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 y (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) y))
(*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y))
(*.f64 x y)
(*.f64 y x)
(neg.f64 z)

eval85.0ms (1.3%)

Memory
-8.8MiB live, 222.3MiB allocated
Compiler

Compiled 16 633 to 1 425 computations (91.4% saved)

prune23.0ms (0.4%)

Memory
-8.0MiB live, 92.4MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New5241525
Fresh000
Picked134
Done033
Total5257532
Accuracy
100.0%
Counts
532 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.2%
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
89.6%
#s(approx (- (* (* (* 3 y) (sqrt x)) (sqrt x)) z) (*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y))
55.5%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
46.3%
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
46.3%
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
46.0%
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
Compiler

Compiled 353 to 170 computations (51.8% saved)

regimes30.0ms (0.5%)

Memory
2.4MiB live, 95.2MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x)))
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
#s(approx (- (* (* (* 3 y) (sqrt x)) (sqrt x)) z) (*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y))
(-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y))) x) z)
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x)) z)
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)) (sqrt.f64 (*.f64 y #s(literal 3 binary64)))) z)
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64))) z)
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(fma.f64 x (/.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Calls

6 calls:

6.0ms
(*.f64 x #s(literal 3 binary64))
5.0ms
x
5.0ms
z
4.0ms
y
4.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Results
AccuracySegmentsBranch
99.9%1(*.f64 x #s(literal 3 binary64))
99.9%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
99.9%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
99.9%1x
99.9%1y
99.9%1z
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes17.0ms (0.3%)

Memory
-0.6MiB live, 44.2MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x)))
Outputs
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
Calls

6 calls:

5.0ms
(*.f64 x #s(literal 3 binary64))
2.0ms
z
2.0ms
x
2.0ms
y
2.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Results
AccuracySegmentsBranch
76.4%3(*.f64 x #s(literal 3 binary64))
82.7%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
66.9%3(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
76.4%3x
72.9%3y
75.7%3z
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes2.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
Outputs
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
Calls

1 calls:

1.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Results
AccuracySegmentsBranch
82.3%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 5 to 6 computations (-20% saved)

regimes6.0ms (0.1%)

Memory
22.1MiB live, 22.1MiB 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
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
55.5%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
55.5%1y
55.5%1z
55.5%1(*.f64 x #s(literal 3 binary64))
55.5%1x
55.5%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 18 to 27 computations (-50% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.9418238262841266e+80
2.6331310032710497e+90
0.0ms
-7.323543191623172e-71
-1.1525791007643598e-72
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.9418238262841266e+80
2.6331310032710497e+90
0.0ms
-7.323543191623172e-71
-1.1525791007643598e-72
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify26.0ms (0.4%)

Memory
-20.8MiB live, 36.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032133
152133
268133
391133
4128133
5228133
6336133
7434133
8500133
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -6216540455122333/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) #s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -6216540455122333/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) #s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -6216540455122333/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) #s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -6216540455122333/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) #s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))))
(if (or (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -6216540455122333/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (not (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)))) #s(approx (- (* (sqrt (* (* y (* 3 x)) x)) (sqrt (* y 3))) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))

soundness1.5s (23.9%)

Memory
31.8MiB live, 820.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032114
044114
1137102
285992
0847392
035146
058140
1183122
21152101
09203101
03866
112166
240266
3111766
4303866
5489266
6596966
7617966
8710966
0852766
094232
1297222
21033222
32838216
45577216
57540216
08021216
0715
01015
12615
216415
3175815
0873114
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 327 to 191 computations (41.6% saved)

preprocess63.0ms (1%)

Memory
-10.6MiB live, 134.9MiB allocated
Compiler

Compiled 322 to 124 computations (61.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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