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

Time bar (total: 8.9s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 9 computations (0% saved)

sample4.3s (48.5%)

Memory
-320.4MiB live, 1 116.9MiB allocated; 4.6s collecting garbage
Samples
908.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 629.0ms
ival-mult: 570.0ms (90.6% of total)
ival-sub: 44.0ms (7% of total)
ival-true: 6.0ms (1% of total)
exact: 5.0ms (0.8% of total)
ival-assert: 3.0ms (0.5% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain90.0ms (1%)

Memory
-2.5MiB live, 131.9MiB allocated; 23ms collecting garbage
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
25.0ms512×0valid
Compiler

Compiled 49 to 25 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (68.5% of total)
ival-sub: 2.0ms (19.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess16.0ms (0.2%)

Memory
23.1MiB live, 23.1MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(sort x y)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Compiler

Compiled 7 to 7 computations (0% saved)

simplify4.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize50.0ms (0.6%)

Memory
-27.0MiB live, 29.4MiB allocated; 14ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x #s(literal 3 binary64))
accuracy0.00390625
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
accuracy0.2734375
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Samples
44.0ms256×0valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (58.1% of total)
ival-sub: 1.0ms (19.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Counts
3 → 11
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
Outputs
(* -1 z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 x)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* -1 (* y (+ (* -3 x) (/ z y))))
(+ (* -1 z) (* 3 (* x y)))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
Calls

9 calls:

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

simplify108.0ms (1.2%)

Memory
-7.6MiB live, 121.0MiB allocated; 22ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite224.0ms (2.5%)

Memory
55.1MiB live, 426.2MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval69.0ms (0.8%)

Memory
-34.7MiB live, 168.4MiB allocated; 27ms collecting garbage
Compiler

Compiled 8 430 to 627 computations (92.6% saved)

prune6.0ms (0.1%)

Memory
26.5MiB live, 26.5MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2305235
Fresh000
Picked011
Done000
Total2306236
Accuracy
100.0%
Counts
236 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.8%
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
99.8%
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
99.5%
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
99.8%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
40.8%
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y)) z)
49.1%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 133 to 103 computations (22.6% saved)

simplify330.0ms (3.7%)

Memory
-38.8MiB live, 111.4MiB allocated; 9ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 9 binary64) (*.f64 x x))
cost-diff0
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
cost-diff0
(/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
cost-diff7
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
cost-diff0
(sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y))
cost-diff0
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y)) z)
cost-diff0
(*.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
029191
051191
182185
2179185
3601185
42173185
53725185
64238185
74703185
85664185
97035185
107756185
117989185
08019184
Stop Event
iter limit
node limit
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 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y)) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y))
(sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
(*.f64 #s(literal 9 binary64) (*.f64 x x))
#s(literal 9 binary64)
(*.f64 x x)
x
y
(sqrt.f64 y)
z
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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))))
y
(/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (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
(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
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
(-.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) z)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.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) y) x) z)
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.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 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y)) z)
(-.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)))
(sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y))
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y))
(*.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
(sqrt.f64 y)
z
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 x x) #s(literal 9 binary64)) y) y (*.f64 z z)) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))
y
(/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) (*.f64 (*.f64 #s(literal 9 binary64) y) x))
(*.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
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) 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 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z)
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))

localize95.0ms (1.1%)

Memory
0.3MiB live, 186.8MiB allocated; 15ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.8924326620721478
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
accuracy1.4564475365228775
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy7.813516176405696
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
accuracy13.416619865656434
(/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy0.09765625
(*.f64 #s(literal 9 binary64) (*.f64 x x))
accuracy0.22265625
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y))
accuracy7.813516176405696
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
accuracy15.83254712853004
(sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y))
accuracy0.0
(*.f64 y #s(literal 3 binary64))
accuracy0.00390625
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
accuracy0.4020554657713251
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
accuracy0.0
(neg.f64 z)
accuracy23.133050393503076
#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)
accuracy0.1953125
(*.f64 (*.f64 y x) #s(literal 3 binary64))
Samples
41.0ms155×0valid
16.0ms71×0invalid
11.0ms25×1valid
2.0ms2valid
1.0ms3valid
Compiler

Compiled 197 to 32 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 22.0ms (43% of total)
ival-sqrt: 13.0ms (25.4% of total)
ival-sub: 5.0ms (9.8% of total)
ival-div: 4.0ms (7.8% of total)
adjust: 3.0ms (5.9% of total)
ival-add: 3.0ms (5.9% of total)
ival-neg: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series36.0ms (0.4%)

Memory
29.9MiB live, 75.6MiB allocated; 5ms collecting garbage
Counts
17 → 120
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 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y)) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y))
(sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
Outputs
(* -1 z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x y)
(* 3 (* x (sqrt y)))
(* 9 (* (pow x 2) 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) z))
(* (pow x 2) (+ (* -27 (/ (* x (pow y 2)) (pow z 2))) (* 9 (/ y z))))
(* (pow x 2) (+ (* 9 (/ y z)) (* x (+ (* -27 (/ (pow y 2) (pow z 2))) (* 81 (/ (* x (pow y 3)) (pow z 3)))))))
(* (pow x 2) (+ (* 9 (/ y z)) (* x (+ (* -27 (/ (pow y 2) (pow z 2))) (* x (+ (* -243 (/ (* x (pow y 4)) (pow z 4))) (* 81 (/ (pow y 3) (pow z 3)))))))))
(* 9 (pow x 2))
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y))))
(+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (+ (* 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))))))
(* 3 x)
(* x (+ 3 (* -1 (/ z (* x y)))))
(* x (+ 3 (+ (* -1 (/ z (* x y))) (* 1/3 (/ (pow z 2) (* (pow x 2) (pow y 2)))))))
(* x (+ 3 (+ (* -1 (/ z (* x y))) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/3 (/ (pow z 2) (* (pow x 2) (pow y 2))))))))
(* 1/3 (/ z (* x y)))
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(* 1/3 (/ (pow z 2) (* x y)))
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x)
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -3 (* x y))
(* -1 (* x (+ (* 3 y) (/ z x))))
(* -3 (* x (sqrt y)))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow y 2))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -2/3 (/ (pow z 2) y))) x))) x)))))
(* -1 (* x (- (/ z (* x y)) 3)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ z y)) (* 1/3 (/ (pow z 2) (* x (pow y 2))))) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (+ (* -1/3 (/ (pow z 2) (pow y 2))) (* 1/9 (/ (pow z 3) (* x (pow y 3))))) x))) x)) 3)))
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(* 3 y)
(+ z (* y (- (* y (- (* 9 (/ (pow x 2) z)) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(+ z (* y (- (* y (- (+ (* 9 (/ (pow x 2) z)) (* y (- (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(* y (+ (* -27 (/ (* (pow x 3) y) (pow z 2))) (* 9 (/ (pow x 2) z))))
(* y (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 81 (/ (* (pow x 4) y) (pow z 3)))))))
(* y (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* y (+ (* -243 (/ (* (pow x 5) y) (pow z 4))) (* 81 (/ (pow x 4) (pow z 3)))))))))
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z)))))
(+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x))))
(+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (+ (* 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 (/ z y)) (* 3 x))
(+ (* -1 (/ z y)) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))
(+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))))
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y)
(/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y)
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* x (* y (* (sqrt -9) (sqrt -1)))))
(* -1 (* y (+ (* x (* (sqrt -9) (sqrt -1))) (/ z y))))
(* -1 (* (* x (* (sqrt -9) (sqrt -1))) (sqrt y)))
(* -1 (* y (+ (* -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 (/ (+ z (* -1/3 (/ (pow z 2) (* x y)))) y)) (* 3 x))
(+ (* -1 (/ (+ z (* -1 (/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y))) y)) (* 3 x))
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* 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)))
(+ (* 3 x) (* z (- (* 1/3 (/ z (* x (pow y 2)))) (/ 1 y))))
(+ (* 3 x) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 3)))) (* 1/3 (/ 1 (* x (pow y 2)))))) (/ 1 y))))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (+ 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)))))))
(/ (+ (* -27 (/ (* (pow x 3) (pow y 2)) z)) (* 9 (* (pow x 2) y))) z)
(/ (+ (* -27 (/ (* (pow x 3) (pow y 2)) z)) (+ (* 9 (* (pow x 2) y)) (* 81 (/ (* (pow x 4) (pow y 3)) (pow z 2))))) z)
(/ (+ (* -243 (/ (* (pow x 5) (pow y 4)) (pow z 3))) (+ (* -27 (/ (* (pow x 3) (pow y 2)) z)) (+ (* 9 (* (pow x 2) y)) (* 81 (/ (* (pow x 4) (pow y 3)) (pow z 2)))))) z)
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))
(* z (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (- (* 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 (/ (+ (* -9 (* (pow x 2) y)) (* 27 (/ (* (pow x 3) (pow y 2)) z))) z))
(* -1 (/ (+ (* -9 (* (pow x 2) y)) (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 2))) (* 81 (/ (* (pow x 4) (pow y 3)) z))) z))) z))
(* -1 (/ (+ (* -9 (* (pow x 2) y)) (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 2))) (* -1 (/ (+ (* -81 (* (pow x 4) (pow y 3))) (* 243 (/ (* (pow x 5) (pow y 4)) z))) z))) z))) z))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
Calls

9 calls:

TimeVariablePointExpression
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 (* (* 9 (* x x)) y)) (sqrt y)) z) (* (sqrt (* (* 9 (* x x)) y)) (sqrt y)) (sqrt (* (* 9 (* x x)) y)) (* (* 9 (* x x)) y) (+ (* y (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
6.0ms
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 (* (* 9 (* x x)) y)) (sqrt y)) z) (* (sqrt (* (* 9 (* x x)) y)) (sqrt y)) (sqrt (* (* 9 (* x x)) y)) (* (* 9 (* x x)) y) (+ (* y (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
5.0ms
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 (* (* 9 (* x x)) y)) (sqrt y)) z) (* (sqrt (* (* 9 (* x x)) y)) (sqrt y)) (sqrt (* (* 9 (* x x)) y)) (* (* 9 (* x x)) y) (+ (* y (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
4.0ms
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 (* (* 9 (* x x)) y)) (sqrt y)) z) (* (sqrt (* (* 9 (* x x)) y)) (sqrt y)) (sqrt (* (* 9 (* x x)) y)) (* (* 9 (* x x)) y) (+ (* y (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
4.0ms
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 (* (* 9 (* x x)) y)) (sqrt y)) z) (* (sqrt (* (* 9 (* x x)) y)) (sqrt y)) (sqrt (* (* 9 (* x x)) y)) (* (* 9 (* x x)) y) (+ (* y (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))

simplify231.0ms (2.6%)

Memory
2.9MiB live, 286.9MiB allocated; 165ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07082949
123492834
085332662
Stop Event
iter limit
node limit
Counts
120 → 119
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x y)
(* 3 (* x (sqrt y)))
(* 9 (* (pow x 2) 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) z))
(* (pow x 2) (+ (* -27 (/ (* x (pow y 2)) (pow z 2))) (* 9 (/ y z))))
(* (pow x 2) (+ (* 9 (/ y z)) (* x (+ (* -27 (/ (pow y 2) (pow z 2))) (* 81 (/ (* x (pow y 3)) (pow z 3)))))))
(* (pow x 2) (+ (* 9 (/ y z)) (* x (+ (* -27 (/ (pow y 2) (pow z 2))) (* x (+ (* -243 (/ (* x (pow y 4)) (pow z 4))) (* 81 (/ (pow y 3) (pow z 3)))))))))
(* 9 (pow x 2))
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y))))
(+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (+ (* 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))))))
(* 3 x)
(* x (+ 3 (* -1 (/ z (* x y)))))
(* x (+ 3 (+ (* -1 (/ z (* x y))) (* 1/3 (/ (pow z 2) (* (pow x 2) (pow y 2)))))))
(* x (+ 3 (+ (* -1 (/ z (* x y))) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/3 (/ (pow z 2) (* (pow x 2) (pow y 2))))))))
(* 1/3 (/ z (* x y)))
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(* 1/3 (/ (pow z 2) (* x y)))
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x)
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -3 (* x y))
(* -1 (* x (+ (* 3 y) (/ z x))))
(* -3 (* x (sqrt y)))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow y 2))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -2/3 (/ (pow z 2) y))) x))) x)))))
(* -1 (* x (- (/ z (* x y)) 3)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ z y)) (* 1/3 (/ (pow z 2) (* x (pow y 2))))) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (+ (* -1/3 (/ (pow z 2) (pow y 2))) (* 1/9 (/ (pow z 3) (* x (pow y 3))))) x))) x)) 3)))
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(* 3 y)
(+ z (* y (- (* y (- (* 9 (/ (pow x 2) z)) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(+ z (* y (- (* y (- (+ (* 9 (/ (pow x 2) z)) (* y (- (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(* y (+ (* -27 (/ (* (pow x 3) y) (pow z 2))) (* 9 (/ (pow x 2) z))))
(* y (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 81 (/ (* (pow x 4) y) (pow z 3)))))))
(* y (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* y (+ (* -243 (/ (* (pow x 5) y) (pow z 4))) (* 81 (/ (pow x 4) (pow z 3)))))))))
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z)))))
(+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x))))
(+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (+ (* 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 (/ z y)) (* 3 x))
(+ (* -1 (/ z y)) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))
(+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))))
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y)
(/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y)
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* x (* y (* (sqrt -9) (sqrt -1)))))
(* -1 (* y (+ (* x (* (sqrt -9) (sqrt -1))) (/ z y))))
(* -1 (* (* x (* (sqrt -9) (sqrt -1))) (sqrt y)))
(* -1 (* y (+ (* -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 (/ (+ z (* -1/3 (/ (pow z 2) (* x y)))) y)) (* 3 x))
(+ (* -1 (/ (+ z (* -1 (/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y))) y)) (* 3 x))
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* 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)))
(+ (* 3 x) (* z (- (* 1/3 (/ z (* x (pow y 2)))) (/ 1 y))))
(+ (* 3 x) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 3)))) (* 1/3 (/ 1 (* x (pow y 2)))))) (/ 1 y))))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (+ 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)))))))
(/ (+ (* -27 (/ (* (pow x 3) (pow y 2)) z)) (* 9 (* (pow x 2) y))) z)
(/ (+ (* -27 (/ (* (pow x 3) (pow y 2)) z)) (+ (* 9 (* (pow x 2) y)) (* 81 (/ (* (pow x 4) (pow y 3)) (pow z 2))))) z)
(/ (+ (* -243 (/ (* (pow x 5) (pow y 4)) (pow z 3))) (+ (* -27 (/ (* (pow x 3) (pow y 2)) z)) (+ (* 9 (* (pow x 2) y)) (* 81 (/ (* (pow x 4) (pow y 3)) (pow z 2)))))) z)
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))
(* z (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (- (* 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 (/ (+ (* -9 (* (pow x 2) y)) (* 27 (/ (* (pow x 3) (pow y 2)) z))) z))
(* -1 (/ (+ (* -9 (* (pow x 2) y)) (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 2))) (* 81 (/ (* (pow x 4) (pow y 3)) z))) z))) z))
(* -1 (/ (+ (* -9 (* (pow x 2) y)) (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 2))) (* -1 (/ (+ (* -81 (* (pow x 4) (pow y 3))) (* 243 (/ (* (pow x 5) (pow y 4)) z))) z))) z))) z))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
Outputs
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(* x y)
(*.f64 x y)
(* 3 (* x (sqrt y)))
(*.f64 (*.f64 (sqrt.f64 y) x) #s(literal 3 binary64))
(* 9 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 9 binary64))
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 (/.f64 (*.f64 y y) z) #s(literal 18 binary64)) 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 (/.f64 (*.f64 y y) z) #s(literal 18 binary64))) x (*.f64 #s(literal -3 binary64) y)) x z)
(* 9 (/ (* (pow x 2) y) z))
(*.f64 (/.f64 (*.f64 (*.f64 x x) y) z) #s(literal 9 binary64))
(* (pow x 2) (+ (* -27 (/ (* x (pow y 2)) (pow z 2))) (* 9 (/ y z))))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 y y) z) z) #s(literal -27 binary64)) x (*.f64 (/.f64 y z) #s(literal 9 binary64))) x) x)
(* (pow x 2) (+ (* 9 (/ y z)) (* x (+ (* -27 (/ (pow y 2) (pow z 2))) (* 81 (/ (* x (pow y 3)) (pow z 3)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 81 binary64) x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 y y) z) z) #s(literal -27 binary64))) x (*.f64 (/.f64 y z) #s(literal 9 binary64))) (*.f64 x x))
(* (pow x 2) (+ (* 9 (/ y z)) (* x (+ (* -27 (/ (pow y 2) (pow z 2))) (* x (+ (* -243 (/ (* x (pow y 4)) (pow z 4))) (* 81 (/ (pow y 3) (pow z 3)))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 81 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal -243 binary64)) (pow.f64 z #s(literal 4 binary64)))) x (*.f64 (/.f64 (/.f64 (*.f64 y y) z) z) #s(literal -27 binary64))) x (*.f64 (/.f64 y z) #s(literal 9 binary64))) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -3 (/ (* x y) z)))
(fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 (/.f64 (*.f64 y y) z) z) (*.f64 #s(literal -3 binary64) (/.f64 y z))) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27 binary64) x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (*.f64 #s(literal 9 binary64) (/.f64 (/.f64 (*.f64 y y) z) z))) x (*.f64 #s(literal -3 binary64) (/.f64 y z))) x #s(literal 1 binary64))
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y))))
(fma.f64 (fma.f64 #s(literal -3 binary64) y (*.f64 (*.f64 x (/.f64 (*.f64 y y) z)) #s(literal 9 binary64))) x z)
(+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27 binary64) x) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z) (*.f64 (/.f64 (*.f64 y y) z) #s(literal 9 binary64))) x (*.f64 #s(literal -3 binary64) y)) x z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* x (+ (* -1 (/ z x)) (+ (* 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)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -1 (/ z (* x y)))))
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 z x) y)) x)
(* x (+ 3 (+ (* -1 (/ z (* x y))) (* 1/3 (/ (pow z 2) (* (pow x 2) (pow y 2)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (*.f64 z (/.f64 z x)) (/.f64 (neg.f64 z) y)) x) #s(literal 3 binary64)) x)
(* x (+ 3 (+ (* -1 (/ z (* x y))) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/3 (/ (pow z 2) (* (pow x 2) (pow y 2))))))))
(*.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 z x) y) #s(literal 3 binary64)) #s(literal -1/9 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (*.f64 z (/.f64 z x)) (/.f64 (neg.f64 z) y)) x)) #s(literal 3 binary64)) x)
(* 1/3 (/ z (* x y)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) z)
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(*.f64 (fma.f64 (/.f64 z (*.f64 (*.f64 (*.f64 y y) x) x)) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) z)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/.f64 (fma.f64 (/.f64 z y) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 #s(literal -1/9 binary64) (/.f64 (*.f64 z (/.f64 z y)) y))) x)) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 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 #s(literal -1/9 binary64) (/.f64 (*.f64 z (/.f64 z y)) y))) x))) x)
(* 1/3 (/ (pow z 2) (* x y)))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) z) z)
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x)
(*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 (*.f64 (*.f64 y y) x) x)) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) z) z)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) x)) x)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) x))) x)
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* -3 (* x y))
(*.f64 #s(literal -3 binary64) (*.f64 x y))
(* -1 (* x (+ (* 3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 z x)))
(* -3 (* x (sqrt y)))
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 y) x))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 (fma.f64 (*.f64 z (/.f64 (/.f64 z x) y)) #s(literal 2/3 binary64) (neg.f64 z)) (neg.f64 x))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow y 2))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -2/3 (/ (pow z 2) y))) x))) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 z (/.f64 z y)) (/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -2/9 binary64)) (*.f64 y y)) (neg.f64 x))) (neg.f64 x)) z) (neg.f64 x))))
(* -1 (* x (- (/ z (* x y)) 3)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z x) y) #s(literal 3 binary64)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ z y)) (* 1/3 (/ (pow z 2) (* x (pow y 2))))) x)) 3)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (*.f64 z (/.f64 z x)) (/.f64 (neg.f64 z) y)) (neg.f64 x)) #s(literal 3 binary64)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (+ (* -1/3 (/ (pow z 2) (pow y 2))) (* 1/9 (/ (pow z 3) (* x (pow y 3))))) x))) x)) 3)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z (/.f64 (/.f64 z x) y)) z) y) (*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))) (neg.f64 x)) #s(literal 3 binary64)))
(* -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 #s(literal -1/9 binary64) (/.f64 (*.f64 z (/.f64 z y)) y))) (neg.f64 x))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (/.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 (*.f64 z (/.f64 z y)) y) (/.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 #s(literal -1/27 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (neg.f64 x))) (neg.f64 x))) (neg.f64 x))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 (*.f64 z (/.f64 z x)) #s(literal -1/3 binary64))) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z (/.f64 z y)) (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) (neg.f64 x))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z (/.f64 z y)) (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) x) (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x))) (neg.f64 x))) (neg.f64 x))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(+ 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 (/.f64 (*.f64 x x) z) #s(literal 18 binary64)) 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 (/.f64 (*.f64 x x) z) #s(literal 18 binary64))) y (*.f64 #s(literal -3 binary64) x)) y z)
(* y (+ (* -27 (/ (* (pow x 3) y) (pow z 2))) (* 9 (/ (pow x 2) z))))
(*.f64 (fma.f64 (*.f64 y #s(literal -27 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) z) z) (*.f64 (/.f64 (*.f64 x x) z) #s(literal 9 binary64))) y)
(* y (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 81 (/ (* (pow x 4) y) (pow z 3)))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -27 binary64) z) (/.f64 (pow.f64 x #s(literal 3 binary64)) z) (*.f64 (*.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 y (pow.f64 z #s(literal 3 binary64))))) y (*.f64 (/.f64 (*.f64 x x) z) #s(literal 9 binary64))) y)
(* y (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* y (+ (* -243 (/ (* (pow x 5) y) (pow z 4))) (* 81 (/ (pow x 4) (pow z 3)))))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -27 binary64) z) (/.f64 (pow.f64 x #s(literal 3 binary64)) z) (*.f64 (fma.f64 (*.f64 #s(literal -243 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 y (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 z #s(literal 3 binary64)))) y)) y (*.f64 (/.f64 (*.f64 x x) z) #s(literal 9 binary64))) y)
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))
(fma.f64 (fma.f64 #s(literal -3 binary64) (/.f64 x z) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) y) z) z) #s(literal 9 binary64))) 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 (fma.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (*.f64 #s(literal 9 binary64) (/.f64 (/.f64 (*.f64 x x) z) z))) y (*.f64 #s(literal -3 binary64) (/.f64 x z))) y #s(literal 1 binary64))
(+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x))))
(fma.f64 (fma.f64 #s(literal -3 binary64) x (*.f64 (/.f64 (*.f64 (*.f64 x x) y) z) #s(literal 9 binary64))) y z)
(+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y #s(literal -27 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) z) z) (*.f64 (/.f64 (*.f64 x x) z) #s(literal 9 binary64))) y (*.f64 #s(literal -3 binary64) x)) y z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(*.f64 (fma.f64 #s(literal 3 binary64) x (/.f64 (neg.f64 z) y)) y)
(* y (+ (* -1 (/ z y)) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))))
(*.f64 (fma.f64 #s(literal 3 binary64) x (/.f64 (fma.f64 (*.f64 z (/.f64 (/.f64 z x) y)) #s(literal 2/3 binary64) (neg.f64 z)) y)) y)
(* y (- (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) x (/.f64 (fma.f64 (*.f64 z (/.f64 (/.f64 z x) y)) #s(literal 2/3 binary64) (neg.f64 z)) y)))) y)
(+ (* -1 (/ z y)) (* 3 x))
(fma.f64 #s(literal 3 binary64) x (/.f64 (neg.f64 z) y))
(+ (* -1 (/ z y)) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))
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(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) z) #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 9 binary64))) (neg.f64 z))) z))
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 y y) z))) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y))) (neg.f64 z)) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x) y (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) z) #s(literal 27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal -9 binary64))) (neg.f64 z))) (neg.f64 z)) #s(literal 1 binary64)) (neg.f64 z))

rewrite272.0ms (3%)

Memory
-9.7MiB live, 321.5MiB allocated; 57ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029144
051132
1169125
2873122
09437121
Stop Event
iter limit
node limit
iter limit
Counts
17 → 920
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 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y)) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y))
(sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal 3 binary64) y) x)))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) z) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (/.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) z) (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal 3 binary64) y) x)))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) z))
(*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal 3 binary64) y) x)))) (/.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) z) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z z))) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) z) z))) (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal 3 binary64) y) x))) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal 3 binary64) y) x))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal 3 binary64) y) x))) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 4 binary64)) (*.f64 (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal 3 binary64) y) x))) (-.f64 (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal 3 binary64) y) x))) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.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 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))) (*.f64 (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64))) (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z))) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z)) (*.f64 (neg.f64 z) z))) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z)) (*.f64 z z))) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z)) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z))) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (*.f64 (neg.f64 z) z))) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z))))
(/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z)) (*.f64 (neg.f64 z) z))) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z)) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)))
(/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z)) (*.f64 z z))) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (*.f64 (neg.f64 z) z))) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) z) z)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z))))
(/.f64 (-.f64 (*.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) z)) (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 z z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))))
(/.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) z) z)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)))
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(*.f64 z (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)))
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(/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.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 (*.f64 z z) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)))
(/.f64 (*.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal 3 binary64) y) x))) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal 3 binary64) y) x))))))
(/.f64 (*.f64 (*.f64 z z) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal 3 binary64) y) x))) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 4 binary64)) (*.f64 (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal 3 binary64) y) x))) (-.f64 (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal 3 binary64) y) x))) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (neg.f64 z) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z)))
(/.f64 (*.f64 z z) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))
(neg.f64 (*.f64 (/.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) (neg.f64 z))) z))
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal 3 binary64) y) x))) (*.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal 3 binary64) y) x)))))
(fma.f64 (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal 3 binary64) y) x))) (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal 3 binary64) y) x))) (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(+.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal 3 binary64) y) x))) (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal 3 binary64) y) x))) (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal 3 binary64) y) x)))))
(+.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal 3 binary64) y) x)))) (*.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64))))

eval183.0ms (2%)

Memory
23.8MiB live, 206.8MiB allocated; 45ms collecting garbage
Compiler

Compiled 29 891 to 2 293 computations (92.3% saved)

prune16.0ms (0.2%)

Memory
1.9MiB live, 46.0MiB allocated; 5ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New7452747
Fresh000
Picked235
Done011
Total7476753
Accuracy
100.0%
Counts
753 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.0%
(-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (sqrt.f64 y)) 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)
99.8%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
87.9%
#s(approx (- (* (* y x) 3) z) (*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
49.1%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 61 to 54 computations (11.5% saved)

simplify172.0ms (1.9%)

Memory
-12.2MiB live, 181.9MiB allocated; 56ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 5 (0.0ms)

IterNodesCost
02089
03189
15489
211585
325485
488985
5303873
6487473
7605673
8757573
0902173
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (* (* y x) 3) z) (*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
(*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
(fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
x
(/.f64 y z)
y
z
#s(literal -3 binary64)
#s(literal 1 binary64)
(neg.f64 z)
(-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (sqrt.f64 y)) z)
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x)
(*.f64 (sqrt.f64 y) #s(literal 3 binary64))
(sqrt.f64 y)
y
#s(literal 3 binary64)
x
z
Outputs
#s(approx (- (* (* y x) 3) z) (*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
#s(approx (- (* (* y x) 3) z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)))
(*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 y z) x)
x
(/.f64 y z)
y
z
#s(literal -3 binary64)
#s(literal 1 binary64)
(neg.f64 z)
(-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (sqrt.f64 y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x)
(*.f64 (sqrt.f64 y) #s(literal 3 binary64))
(sqrt.f64 y)
y
#s(literal 3 binary64)
x
z

localize73.0ms (0.8%)

Memory
11.2MiB live, 98.7MiB allocated; 14ms collecting garbage
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (sqrt.f64 y)) z)
accuracy0.14453125
(*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x)
accuracy0.20703125
(*.f64 (sqrt.f64 y) #s(literal 3 binary64))
accuracy0.22265625
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (sqrt.f64 y))
accuracy0.0
#s(approx (- (* (* y x) 3) z) (*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
accuracy0.0859375
(fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64))
accuracy2.399906411901506
(*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
accuracy6.406355274455641
(*.f64 x (/.f64 y z))
Samples
29.0ms185×0valid
9.0ms71×0invalid
Compiler

Compiled 81 to 22 computations (72.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 12.0ms (47.1% of total)
ival-neg: 6.0ms (23.5% of total)
ival-div: 2.0ms (7.8% of total)
ival-sub: 2.0ms (7.8% of total)
ival-sqrt: 2.0ms (7.8% of total)
ival-add: 1.0ms (3.9% 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)

series31.0ms (0.3%)

Memory
3.4MiB live, 54.6MiB allocated; 22ms collecting garbage
Counts
8 → 25
Calls
Call 1
Inputs
(*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
#s(approx (- (* (* y x) 3) z) (*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
(fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (sqrt.f64 y))
(-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (sqrt.f64 y)) z)
(*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x)
(*.f64 (sqrt.f64 y) #s(literal 3 binary64))
Outputs
(* -1 z)
(+ (* -1 z) (* 3 (* x y)))
(- (* 3 (* x y)) z)
1
(+ 1 (* -3 (/ (* x y) z)))
(/ (* x y) z)
(* 3 (* x y))
(* 3 (* x (sqrt y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* -3 (/ (* x y) z))
(* x (+ (* -3 (/ y z)) (/ 1 x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (- (* 3 (/ y z)) (/ 1 x))))
(* 3 (sqrt y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -3 (/ x z)) (/ 1 y)))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (- (* 3 (/ x z)) (/ 1 y))))
(* -3 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* y (+ (* 3 (* x (pow (sqrt -1) 2))) (/ z y))))
(* -3 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -3 (* (sqrt y) (pow (sqrt -1) 2)))
(/ (+ z (* -3 (* x y))) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
Calls

9 calls:

TimeVariablePointExpression
12.0ms
y
@inf
((* (+ (* (* x (/ y z)) -3) 1) (neg z)) (- (* (* y x) 3) z) (+ (* (* x (/ y z)) -3) 1) (* x (/ y z)) (* (* (* (sqrt y) 3) x) (sqrt y)) (- (* (* (* (sqrt y) 3) x) (sqrt y)) z) (* (* (sqrt y) 3) x) (* (sqrt y) 3))
6.0ms
z
@-inf
((* (+ (* (* x (/ y z)) -3) 1) (neg z)) (- (* (* y x) 3) z) (+ (* (* x (/ y z)) -3) 1) (* x (/ y z)) (* (* (* (sqrt y) 3) x) (sqrt y)) (- (* (* (* (sqrt y) 3) x) (sqrt y)) z) (* (* (sqrt y) 3) x) (* (sqrt y) 3))
4.0ms
y
@-inf
((* (+ (* (* x (/ y z)) -3) 1) (neg z)) (- (* (* y x) 3) z) (+ (* (* x (/ y z)) -3) 1) (* x (/ y z)) (* (* (* (sqrt y) 3) x) (sqrt y)) (- (* (* (* (sqrt y) 3) x) (sqrt y)) z) (* (* (sqrt y) 3) x) (* (sqrt y) 3))
2.0ms
x
@-inf
((* (+ (* (* x (/ y z)) -3) 1) (neg z)) (- (* (* y x) 3) z) (+ (* (* x (/ y z)) -3) 1) (* x (/ y z)) (* (* (* (sqrt y) 3) x) (sqrt y)) (- (* (* (* (sqrt y) 3) x) (sqrt y)) z) (* (* (sqrt y) 3) x) (* (sqrt y) 3))
2.0ms
x
@inf
((* (+ (* (* x (/ y z)) -3) 1) (neg z)) (- (* (* y x) 3) z) (+ (* (* x (/ y z)) -3) 1) (* x (/ y z)) (* (* (* (sqrt y) 3) x) (sqrt y)) (- (* (* (* (sqrt y) 3) x) (sqrt y)) z) (* (* (sqrt y) 3) x) (* (sqrt y) 3))

simplify512.0ms (5.7%)

Memory
-8.0MiB live, 223.0MiB allocated; 46ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078171
1231162
2739162
32105162
45583162
09047156
Stop Event
iter limit
node limit
Counts
25 → 25
Calls
Call 1
Inputs
(* -1 z)
(+ (* -1 z) (* 3 (* x y)))
(- (* 3 (* x y)) z)
1
(+ 1 (* -3 (/ (* x y) z)))
(/ (* x y) z)
(* 3 (* x y))
(* 3 (* x (sqrt y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* -3 (/ (* x y) z))
(* x (+ (* -3 (/ y z)) (/ 1 x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (- (* 3 (/ y z)) (/ 1 x))))
(* 3 (sqrt y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -3 (/ x z)) (/ 1 y)))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (- (* 3 (/ x z)) (/ 1 y))))
(* -3 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* y (+ (* 3 (* x (pow (sqrt -1) 2))) (/ z y))))
(* -3 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -3 (* (sqrt y) (pow (sqrt -1) 2)))
(/ (+ z (* -3 (* x y))) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
Outputs
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
1
#s(literal 1 binary64)
(+ 1 (* -3 (/ (* x y) z)))
(fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal 1 binary64))
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 (* x (sqrt y)))
(*.f64 (*.f64 (sqrt.f64 y) x) #s(literal 3 binary64))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -3 (/ (* x y) z))
(*.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64))
(* x (+ (* -3 (/ y z)) (/ 1 x)))
(fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal 1 binary64))
(* -1 (* x (+ (* -3 y) (/ z x))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* x (- (* 3 (/ y z)) (/ 1 x))))
(fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal 1 binary64))
(* 3 (sqrt y))
(*.f64 (sqrt.f64 y) #s(literal 3 binary64))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* y (+ (* -3 (/ x z)) (/ 1 y)))
(fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal 1 binary64))
(* -1 (* y (+ (* -3 x) (/ z y))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* y (- (* 3 (/ x z)) (/ 1 y))))
(fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal 1 binary64))
(* -3 (* x (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* -1 (* y (+ (* 3 (* x (pow (sqrt -1) 2))) (/ z y))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -3 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(*.f64 (*.f64 (sqrt.f64 y) x) #s(literal 3 binary64))
(* -3 (* (sqrt y) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 y) #s(literal 3 binary64))
(/ (+ z (* -3 (* x y))) z)
(fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal 1 binary64))
(* z (- (* 3 (/ (* x y) 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))

rewrite160.0ms (1.8%)

Memory
29.3MiB live, 266.2MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02073
03173
19373
255465
3630365
0804463
Stop Event
iter limit
node limit
iter limit
Counts
8 → 211
Calls
Call 1
Inputs
(*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
#s(approx (- (* (* y x) 3) z) (*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
(fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (sqrt.f64 y))
(-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (sqrt.f64 y)) z)
(*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x)
(*.f64 (sqrt.f64 y) #s(literal 3 binary64))
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (neg.f64 z)) (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 9 binary64) (*.f64 (/.f64 y z) x) #s(literal -3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (neg.f64 z)) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 z)) (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 y z) x))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 z)) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 4 binary64))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)) z)
(*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 z) (fma.f64 (*.f64 (/.f64 y z) x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (/.f64 y z) x)) #s(literal -3 binary64)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) (neg.f64 z))
(*.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 2 binary64))) (neg.f64 z)) (fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 y z) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64))) (neg.f64 z)) (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 z)) (neg.f64 (fma.f64 (*.f64 (/.f64 y z) x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (/.f64 y z) x)) #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 y z) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 z) (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 z) (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 y z) x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (/.f64 y z) x)) #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) #s(literal -3 binary64)) (*.f64 (/.f64 y z) x)) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (*.f64 (neg.f64 z) #s(literal -3 binary64)) (*.f64 (/.f64 y z) x)) (neg.f64 z)))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (*.f64 (neg.f64 z) #s(literal -3 binary64)) (*.f64 (/.f64 y z) x)) #s(literal 2 binary64))) (-.f64 (neg.f64 z) (*.f64 (*.f64 (neg.f64 z) #s(literal -3 binary64)) (*.f64 (/.f64 y z) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) #s(literal -3 binary64)) (*.f64 (/.f64 y z) x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) #s(literal -3 binary64)) (*.f64 (/.f64 y z) x)) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 (neg.f64 z) #s(literal -3 binary64)) (*.f64 (/.f64 y z) x)) (neg.f64 z)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) #s(literal -3 binary64)) (*.f64 (/.f64 y z) x)) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) #s(literal -3 binary64)) (*.f64 (/.f64 y z) x)) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (*.f64 (*.f64 (neg.f64 z) #s(literal -3 binary64)) (*.f64 (/.f64 y z) x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (neg.f64 z))) (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 z))) (neg.f64 (fma.f64 (*.f64 (/.f64 y z) x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (/.f64 y z) x)) #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (neg.f64 z)) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 z)) (fma.f64 (*.f64 (/.f64 y z) x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (/.f64 y z) x)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) z) (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1 binary64)) z) (neg.f64 (fma.f64 (*.f64 (/.f64 y z) x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (/.f64 y z) x)) #s(literal -3 binary64)) #s(literal 1 binary64))))
(neg.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) z))
(fma.f64 (*.f64 (neg.f64 z) (*.f64 #s(literal -3 binary64) x)) (/.f64 y z) (neg.f64 z))
(fma.f64 (*.f64 (neg.f64 z) (*.f64 #s(literal -3 binary64) (/.f64 y z))) x (neg.f64 z))
(fma.f64 (*.f64 (neg.f64 z) #s(literal -3 binary64)) (*.f64 (/.f64 y z) x) (neg.f64 z))
(fma.f64 (*.f64 (neg.f64 z) (*.f64 (/.f64 y z) x)) #s(literal -3 binary64) (neg.f64 z))
(fma.f64 (*.f64 (neg.f64 z) (/.f64 y z)) (*.f64 #s(literal -3 binary64) x) (neg.f64 z))
(fma.f64 (*.f64 (neg.f64 z) x) (*.f64 #s(literal -3 binary64) (/.f64 y z)) (neg.f64 z))
(fma.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 (/.f64 y z) (neg.f64 z)) (neg.f64 z))
(fma.f64 (*.f64 (*.f64 (neg.f64 z) #s(literal -3 binary64)) (*.f64 (/.f64 y z) x)) #s(literal 1 binary64) (neg.f64 z))
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (/.f64 y z) x)) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 z) (*.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 y z) x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (/.f64 y z) x)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 z)))
(fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 y z)) (*.f64 x (neg.f64 z)) (neg.f64 z))
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) (neg.f64 z) (neg.f64 z))
(fma.f64 (neg.f64 z) (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (/.f64 y z) x)) #s(literal -3 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 z) (pow.f64 (fma.f64 (*.f64 (/.f64 y z) x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (/.f64 y z) x)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (neg.f64 z) (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) (neg.f64 z))
(fma.f64 (neg.f64 z) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) #s(literal -3 binary64)) (*.f64 (/.f64 y z) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) #s(literal -3 binary64)) (*.f64 (/.f64 y z) x)) (neg.f64 z))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (*.f64 (*.f64 (neg.f64 z) #s(literal -3 binary64)) (*.f64 (/.f64 y z) x)))
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 (/.f64 y z) x) (neg.f64 z)) (neg.f64 z))
(fma.f64 (*.f64 (/.f64 y z) x) (*.f64 #s(literal -3 binary64) (neg.f64 z)) (neg.f64 z))
(fma.f64 (/.f64 y z) (*.f64 (*.f64 #s(literal -3 binary64) x) (neg.f64 z)) (neg.f64 z))
(fma.f64 x (*.f64 (*.f64 #s(literal -3 binary64) (/.f64 y z)) (neg.f64 z)) (neg.f64 z))
(-.f64 (*.f64 (*.f64 (neg.f64 z) #s(literal -3 binary64)) (*.f64 (/.f64 y z) x)) (*.f64 z #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 (neg.f64 z) #s(literal -3 binary64)) (*.f64 (/.f64 y z) x)) (*.f64 #s(literal -1 binary64) (neg.f64 z)))
(-.f64 (neg.f64 z) (*.f64 z (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x))))
(-.f64 (neg.f64 z) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 y z) x)) (neg.f64 z)))
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (/.f64 y z) x)) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 z)) (*.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 y z) x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (/.f64 y z) x)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 z)))
(+.f64 (*.f64 (neg.f64 z) (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (/.f64 y z) x)) #s(literal -3 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 z) (pow.f64 (fma.f64 (*.f64 (/.f64 y z) x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (/.f64 y z) x)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (neg.f64 z) #s(literal -3 binary64)) (*.f64 (/.f64 y z) x)) (neg.f64 z))
(+.f64 (neg.f64 z) (*.f64 (*.f64 (neg.f64 z) #s(literal -3 binary64)) (*.f64 (/.f64 y z) x)))
#s(approx (- (* (* y x) 3) z) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)) z))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 9 binary64) (*.f64 (/.f64 y z) x) #s(literal -3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 9 binary64) (*.f64 (/.f64 y z) x) #s(literal -3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 y z) x))))
(*.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) #s(literal 1 binary64))
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(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 y x)) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 y x)) (fma.f64 #s(literal 3 binary64) (*.f64 y x) z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 #s(literal 3 binary64) (*.f64 y x) z)))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 y x) z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 #s(literal 3 binary64) (*.f64 y x) z)))
(fma.f64 (*.f64 y x) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 y x)) (fma.f64 #s(literal 3 binary64) (*.f64 y x) z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 #s(literal 3 binary64) (*.f64 y x) z)))
(fma.f64 y (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y) (fma.f64 #s(literal 3 binary64) (*.f64 y x) z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 #s(literal 3 binary64) (*.f64 y x) z)))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y x) z) z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y x) z) z))))
(-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 y x) z))) (*.f64 z (/.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 y x) z))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 y x)) z)
(+.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 y x) z))) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 #s(literal 3 binary64) (*.f64 y x) z)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 #s(literal 3 binary64) x)))
(*.f64 (*.f64 #s(literal 3 binary64) x) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 y) x) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x)
(*.f64 (sqrt.f64 y) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 y) x))
(*.f64 x (*.f64 (sqrt.f64 y) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 y) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 y))

eval120.0ms (1.3%)

Memory
-42.2MiB live, 159.9MiB allocated; 29ms collecting garbage
Compiler

Compiled 7 265 to 863 computations (88.1% saved)

prune6.0ms (0.1%)

Memory
25.7MiB live, 25.7MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New2211222
Fresh000
Picked022
Done044
Total2217228
Accuracy
100.0%
Counts
228 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.0%
(-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (sqrt.f64 y)) 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)
99.8%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
87.9%
#s(approx (- (* (* y x) 3) z) (*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
87.9%
#s(approx (- (* (* y x) 3) z) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)) z))
49.1%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 79 to 68 computations (13.9% saved)

simplify177.0ms (2%)

Memory
-7.9MiB live, 132.3MiB allocated; 13ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff0
(fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64))
cost-diff0
#s(approx (- (* (* y x) 3) z) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)) z))
cost-diff3
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)) z)
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01347
01847
13047
26347
316247
443941
5176941
6344241
7433441
8440741
9448841
10451941
11452741
12452741
13619041
14648041
15648041
16648041
17694041
18706441
19706441
0832841
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (* (* y x) 3) z) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)) z))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)) z)
(fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(/.f64 y z)
y
z
#s(literal -1 binary64)
Outputs
#s(approx (- (* (* y x) 3) z) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)) z))
#s(approx (- (* (* y x) 3) z) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x z)))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)) z)
(neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x z))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64))
(fma.f64 (/.f64 y z) (*.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(/.f64 y z)
y
z
#s(literal -1 binary64)

localize62.0ms (0.7%)

Memory
20.6MiB live, 107.5MiB allocated; 9ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 3 binary64) x)
accuracy0.0
#s(approx (- (* (* y x) 3) z) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)) z))
accuracy3.1434489060722637
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)) z)
accuracy4.568544166336178
(fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64))
Samples
54.0ms256×0valid
Compiler

Compiled 40 to 15 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 37.0ms (88.4% of total)
ival-div: 2.0ms (4.8% of total)
ival-sub: 1.0ms (2.4% of total)
ival-add: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
-14.1MiB live, 45.1MiB allocated; 9ms collecting garbage
Counts
4 → 19
Calls
Call 1
Inputs
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)) z)
#s(approx (- (* (* y x) 3) z) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)) z))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) x)
Outputs
(* -1 z)
(+ (* -1 z) (* 3 (* x y)))
(- (* 3 (* x y)) z)
-1
(- (* 3 (/ (* x y) z)) 1)
(* 3 x)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (/ (* x y) z))
(* x (- (* 3 (/ y z)) (/ 1 x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 (/ y z)) (/ 1 x))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (- (* 3 (/ x z)) (/ 1 y)))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 (/ x z)) (/ 1 y))))
(/ (+ (* -1 z) (* 3 (* x y))) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
y
@-inf
((* (+ (* (* 3 x) (/ y z)) -1) z) (- (* (* y x) 3) z) (+ (* (* 3 x) (/ y z)) -1) (* 3 x))
6.0ms
y
@inf
((* (+ (* (* 3 x) (/ y z)) -1) z) (- (* (* y x) 3) z) (+ (* (* 3 x) (/ y z)) -1) (* 3 x))
1.0ms
x
@-inf
((* (+ (* (* 3 x) (/ y z)) -1) z) (- (* (* y x) 3) z) (+ (* (* 3 x) (/ y z)) -1) (* 3 x))
1.0ms
x
@inf
((* (+ (* (* 3 x) (/ y z)) -1) z) (- (* (* y x) 3) z) (+ (* (* 3 x) (/ y z)) -1) (* 3 x))
1.0ms
z
@-inf
((* (+ (* (* 3 x) (/ y z)) -1) z) (- (* (* y x) 3) z) (+ (* (* 3 x) (/ y z)) -1) (* 3 x))

simplify102.0ms (1.1%)

Memory
25.7MiB live, 157.5MiB allocated; 19ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057136
1174128
2605128
31626128
44369128
57340128
08014122
Stop Event
iter limit
node limit
Counts
19 → 19
Calls
Call 1
Inputs
(* -1 z)
(+ (* -1 z) (* 3 (* x y)))
(- (* 3 (* x y)) z)
-1
(- (* 3 (/ (* x y) z)) 1)
(* 3 x)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (/ (* x y) z))
(* x (- (* 3 (/ y z)) (/ 1 x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 (/ y z)) (/ 1 x))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (- (* 3 (/ x z)) (/ 1 y)))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 (/ x z)) (/ 1 y))))
(/ (+ (* -1 z) (* 3 (* x y))) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
Outputs
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
-1
#s(literal -1 binary64)
(- (* 3 (/ (* x y) z)) 1)
(fma.f64 (/.f64 x z) (*.f64 #s(literal 3 binary64) y) #s(literal -1 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* 3 (/ (* x y) z))
(*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64))
(* x (- (* 3 (/ y z)) (/ 1 x)))
(fma.f64 (/.f64 x z) (*.f64 #s(literal 3 binary64) y) #s(literal -1 binary64))
(* -1 (* x (+ (* -3 y) (/ z x))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* -1 (* x (+ (* -3 (/ y z)) (/ 1 x))))
(fma.f64 (/.f64 x z) (*.f64 #s(literal 3 binary64) y) #s(literal -1 binary64))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* y (- (* 3 (/ x z)) (/ 1 y)))
(fma.f64 (/.f64 x z) (*.f64 #s(literal 3 binary64) y) #s(literal -1 binary64))
(* -1 (* y (+ (* -3 x) (/ z y))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* -1 (* y (+ (* -3 (/ x z)) (/ 1 y))))
(fma.f64 (/.f64 x z) (*.f64 #s(literal 3 binary64) y) #s(literal -1 binary64))
(/ (+ (* -1 z) (* 3 (* x y))) z)
(fma.f64 (/.f64 x z) (*.f64 #s(literal 3 binary64) y) #s(literal -1 binary64))
(* 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))

rewrite239.0ms (2.7%)

Memory
7.5MiB live, 295.4MiB allocated; 87ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01339
01839
15839
237639
3438439
0816639
Stop Event
iter limit
node limit
iter limit
Counts
4 → 114
Calls
Call 1
Inputs
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)) z)
#s(approx (- (* (* y x) 3) z) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)) z))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) x)
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) z) (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) z) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64)) z) (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64)) z) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 81 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (/.f64 z (-.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) z)
(*.f64 z (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64))) z) (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64))) z) (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 z (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)))) (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal -1 binary64))))
(/.f64 (*.f64 z (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) z) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) z) (neg.f64 z)))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) z) #s(literal 2 binary64))) (-.f64 (neg.f64 z) (*.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) z)))
(/.f64 (fma.f64 (pow.f64 (*.f64 z (*.f64 (/.f64 y z) x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) z) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) z) (neg.f64 z)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) z) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) z) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (*.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) z)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) z)) (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64)) z)) (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
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(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)) (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 81 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 81 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 x z) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 y z) #s(literal 3 binary64)) x #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal 3/2 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 27 binary64) (/.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (neg.f64 y) (/.f64 (*.f64 x #s(literal 3 binary64)) (neg.f64 z)) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 y x) (/.f64 #s(literal 3 binary64) z) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)) #s(literal -1 binary64))
(fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 y (/.f64 (*.f64 x #s(literal 3 binary64)) z) #s(literal -1 binary64))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 y z) #s(literal -1 binary64))
(fma.f64 x (*.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 y z) x) #s(literal -1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal -1 binary64))) (pow.f64 (-.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 y z) x)))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 y z) (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)) (/.f64 y z)))
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)

eval27.0ms (0.3%)

Memory
-2.3MiB live, 40.0MiB allocated; 10ms collecting garbage
Compiler

Compiled 4 568 to 528 computations (88.4% saved)

prune57.0ms (0.6%)

Memory
-22.4MiB live, 23.9MiB allocated; 5ms collecting garbage
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1193122
Fresh000
Picked101
Done246
Total1227129
Accuracy
100.0%
Counts
129 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.0%
(-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (sqrt.f64 y)) z)
99.8%
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
99.8%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
87.9%
#s(approx (- (* (* y x) 3) z) (*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64) #s(literal -1 binary64)) z))
48.3%
#s(approx (- (* (* y x) 3) z) (*.f64 #s(approx (+ (* (* 3 x) (/ y z)) -1) (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64))) z))
52.7%
#s(approx (- (* (* y x) 3) z) #s(approx (* (+ (* (* 3 x) (/ y z)) -1) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)))
49.1%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 293 to 153 computations (47.8% saved)

regimes29.0ms (0.3%)

Memory
14.4MiB live, 69.7MiB allocated; 14ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* y x) 3) z) #s(approx (* (+ (* (* 3 x) (/ y z)) -1) z) (*.f64 (*.f64 #s(literal 3 binary64) y) 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 (- (* (* y x) 3) z) (*.f64 #s(approx (+ (* (* 3 x) (/ y z)) -1) (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64))) z))
#s(approx (- (* (* y x) 3) z) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)) z))
#s(approx (- (* (* y x) 3) z) (*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64) #s(literal -1 binary64)) z))
#s(approx (- (* (* y x) 3) z) (*.f64 (fma.f64 (*.f64 x (/.f64 y z)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)))
(-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (sqrt.f64 y)) z)
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y)) z)
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
Outputs
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
Calls

6 calls:

10.0ms
x
4.0ms
z
4.0ms
y
4.0ms
(*.f64 x #s(literal 3 binary64))
4.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Results
AccuracySegmentsBranch
99.8%1(*.f64 x #s(literal 3 binary64))
99.8%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
99.8%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
99.8%1x
99.8%1y
99.8%1z
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes15.0ms (0.2%)

Memory
-8.3MiB live, 36.6MiB allocated; 5ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* y x) 3) z) #s(approx (* (+ (* (* 3 x) (/ y z)) -1) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)))
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Calls

6 calls:

5.0ms
y
2.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
2.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
2.0ms
z
2.0ms
(*.f64 x #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.8%1(*.f64 x #s(literal 3 binary64))
99.8%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
99.8%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
99.8%1x
99.8%1y
99.8%1z
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes11.0ms (0.1%)

Memory
-12.2MiB live, 32.5MiB allocated; 6ms collecting garbage
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* y x) 3) z) #s(approx (* (+ (* (* 3 x) (/ y z)) -1) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)))
Outputs
#s(approx (- (* (* y x) 3) z) #s(approx (* (+ (* (* 3 x) (/ y z)) -1) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* y x) 3) z) #s(approx (* (+ (* (* 3 x) (/ y z)) -1) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)))
Calls

6 calls:

4.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
1.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
1.0ms
(*.f64 x #s(literal 3 binary64))
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
73.0%3(*.f64 x #s(literal 3 binary64))
78.8%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
75.2%7(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
73.0%3x
78.4%3z
74.7%3y
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes7.0ms (0.1%)

Memory
25.2MiB live, 25.2MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

6 calls:

1.0ms
x
1.0ms
(*.f64 x #s(literal 3 binary64))
1.0ms
y
1.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
1.0ms
z
Results
AccuracySegmentsBranch
49.1%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
49.1%1(*.f64 x #s(literal 3 binary64))
49.1%1x
49.1%1y
49.1%1z
49.1%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 18 to 27 computations (-50% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.910810990498317e-45
2.1282384458279412e-39
0.0ms
-8.097535388906262e+52
-1.5427717408344606e+52
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify63.0ms (0.7%)

Memory
-19.4MiB live, 76.7MiB allocated; 26ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
03476
15876
29476
320976
452374
5124672
6238072
7371072
8470972
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -49999999999999999661047433718081398823085422097203200 binary64)) #s(approx (- (* (* y x) 3) z) #s(approx (* (+ (* (* 3 x) (/ y z)) -1) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 8034690221294951/803469022129495137770981046170581301261101496891396417650688 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* y x) 3) z) #s(approx (* (+ (* (* 3 x) (/ y z)) -1) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Outputs
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -49999999999999999661047433718081398823085422097203200 binary64)) #s(approx (- (* (* y x) 3) z) #s(approx (* (+ (* (* 3 x) (/ y z)) -1) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 8034690221294951/803469022129495137770981046170581301261101496891396417650688 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* y x) 3) z) #s(approx (* (+ (* (* 3 x) (/ y z)) -1) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)))))
(if (or (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -49999999999999999661047433718081398823085422097203200 binary64)) (not (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 8034690221294951/803469022129495137770981046170581301261101496891396417650688 binary64)))) #s(approx (- (* (* y x) 3) z) #s(approx (- (* (* y x) 3) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))) #s(approx (- (* (* y x) 3) z) (neg.f64 z)))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* y x) 3) z) (neg.f64 z))

derivations933.0ms (10.4%)

Memory
-35.6MiB live, 630.0MiB allocated; 152ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03866
112166
240266
3111766
4303866
5489266
6596966
7617966
8710966
0852766
07082949
123492834
085332662
02073
03173
19373
255465
3630365
0804463
057136
1174128
2605128
31626128
44369128
57340128
08014122
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
iter limit
node limit
iter limit
node limit
Compiler

Compiled 72 to 27 computations (62.5% saved)

preprocess49.0ms (0.5%)

Memory
23.6MiB live, 68.2MiB allocated; 17ms collecting garbage
Remove

(sort x y)

Compiler

Compiled 214 to 124 computations (42.1% saved)

end0.0ms (0%)

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

Profiling

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