Optimisation.CirclePacking:place from circle-packing-0.1.0.4, I

Time bar (total: 3.1s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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 7 to 7 computations (0% saved)

sample619.0ms (19.7%)

Memory
-9.8MiB live, 790.3MiB allocated; 132ms collecting garbage
Samples
372.0ms8 249×0valid
0.0ms2valid
0.0ms3valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-add: 131.0ms (92.6% of total)
ival-true: 5.0ms (3.5% of total)
ival-assert: 3.0ms (2.1% of total)
adjust: 2.0ms (1.4% of total)
Bogosity

explain55.0ms (1.7%)

Memory
27.2MiB live, 74.7MiB allocated; 2ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (+.f64 x y) z)
00-0-y
00-0-(+.f64 x y)
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
19.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 5.0ms (84% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess30.0ms (1%)

Memory
-19.8MiB live, 25.7MiB allocated; 8ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02154
14653
28351
312751
413351
514551
614651
055
075
1115
2185
3205
0205
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) z)
Outputs
(+.f64 (+.f64 x y) z)
(+.f64 z (+.f64 y x))
Symmetry

(sort x y z)

Compiler

Compiled 5 to 5 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
100.0%
(+.f64 (+.f64 x y) z)
Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

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

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x y)
cost-diff0
(+.f64 (+.f64 x y) z)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
11111
21811
32011
02011
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z
Outputs
(+.f64 (+.f64 x y) z)
(+.f64 z (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
z

localize13.0ms (0.4%)

Memory
22.5MiB live, 22.5MiB allocated; 0ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 (+.f64 x y) z)
accuracy0.0
(+.f64 x y)
Samples
9.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 3.0ms (101% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
Counts
2 → 17
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) z)
(+.f64 x y)
Outputs
(+ y z)
(+ x (+ y z))
y
(+ x y)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x z)
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
((+ (+ x y) z) (+ x y))
0.0ms
x
@-inf
((+ (+ x y) z) (+ x y))
0.0ms
y
@-inf
((+ (+ x y) z) (+ x y))
0.0ms
z
@-inf
((+ (+ x y) z) (+ x y))
0.0ms
y
@inf
((+ (+ x y) z) (+ x y))

simplify142.0ms (4.5%)

Memory
-2.1MiB live, 141.1MiB allocated; 17ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05159
114559
240559
3112959
4351859
5666059
0822659
Stop Event
iter limit
node limit
Counts
17 → 14
Calls
Call 1
Inputs
(+ y z)
(+ x (+ y z))
y
(+ x y)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x z)
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
Outputs
(+ y z)
(+.f64 z y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
y
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z x) y)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(+ x z)
(+.f64 z x)
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 z x) y)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z x) y)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z x) y)

rewrite244.0ms (7.8%)

Memory
5.3MiB live, 194.2MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1368
23098
348628
081458
Stop Event
iter limit
node limit
iter limit
Counts
2 → 128
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) z)
(+.f64 x y)
Outputs
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 z (+.f64 y x)))
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 z (+.f64 y x)) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 z (+.f64 y x)) z)))
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 z (+.f64 y x)) z) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 z (+.f64 y x)) z) (-.f64 (*.f64 (-.f64 z (+.f64 y x)) z) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64))))
(*.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (+.f64 z (+.f64 y x)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(*.f64 (+.f64 z (+.f64 y x)) (/.f64 (-.f64 (+.f64 y x) z) (-.f64 (+.f64 y x) z)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) (*.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))))
(/.f64 (-.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (+.f64 z x) y))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (+.f64 z y) x))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (+.f64 z x) #s(literal 2 binary64))) (-.f64 y (+.f64 z x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) (*.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (+.f64 z x) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 z x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (*.f64 y (+.f64 z x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (+.f64 y x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 x y) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 y x) z))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) (*.f64 (-.f64 (+.f64 y x) z) (*.f64 z z))) (pow.f64 (-.f64 (+.f64 y x) z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (fma.f64 z z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 (+.f64 y x) z)))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 z (+.f64 y x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (-.f64 (-.f64 x y) z))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64))) (-.f64 (+.f64 y x) z)))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (+.f64 z y) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 (+.f64 y x) #s(literal 9 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 y x) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 (+.f64 y x) z))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (-.f64 (+.f64 y x) z)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (neg.f64 (-.f64 (+.f64 y x) z))))
(neg.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 z (+.f64 y x)) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 z (+.f64 y x)) z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 z (+.f64 y x)) z) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 z (+.f64 y x)) z) (-.f64 (*.f64 (-.f64 z (+.f64 y x)) z) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (+.f64 y x) z)))
(fma.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 z (+.f64 y x)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (+.f64 y x) z)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) z))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 z (+.f64 y x)) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 z (+.f64 y x)) z)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 z (+.f64 y x)) z) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 z (+.f64 y x)) z) (-.f64 (*.f64 (-.f64 z (+.f64 y x)) z) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)) z)
(fma.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) z)
(fma.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)) z)
(fma.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) z)
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) z))
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (+.f64 y x)) (/.f64 (neg.f64 (+.f64 y x)) (-.f64 (+.f64 y x) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (+.f64 y x) z)))
(fma.f64 (fabs.f64 (+.f64 y x)) (/.f64 (fabs.f64 (+.f64 y x)) (-.f64 (+.f64 y x) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (+.f64 y x) z)))
(fma.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) z)
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) z))
(fma.f64 (*.f64 z z) (/.f64 z (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(fma.f64 z (/.f64 (*.f64 z z) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (+.f64 y x) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (+.f64 y x) z)))
(fma.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 x y)) z)
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 y x) y (*.f64 x x))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) z))
(-.f64 (+.f64 z (*.f64 x (/.f64 x (-.f64 x y)))) (*.f64 y (/.f64 y (-.f64 x y))))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (+.f64 y x))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 z (+.f64 y x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 (-.f64 x y) z)) (/.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (-.f64 x y) z)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (-.f64 (*.f64 y (/.f64 y (-.f64 x y))) z))
(-.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) (*.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))
(+.f64 (+.f64 z (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x))) (/.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x))))
(+.f64 (+.f64 z x) y)
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) z))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (+.f64 y x) z)))
(+.f64 (+.f64 z y) x)
(+.f64 z (+.f64 y x))
(+.f64 (+.f64 y x) z)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 z y))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(neg.f64 (neg.f64 (+.f64 y x)))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(+.f64 y x)
(+.f64 x y)

eval37.0ms (1.2%)

Memory
-19.8MiB live, 26.8MiB allocated; 4ms collecting garbage
Compiler

Compiled 3 680 to 455 computations (87.6% saved)

prune2.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1302132
Fresh000
Picked011
Done000
Total1303133
Accuracy
100.0%
Counts
133 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (+.f64 x y) z)
49.1%
#s(approx (+ (+ x y) z) (+.f64 z y))
98.3%
#s(approx (+ (+ x y) z) (+.f64 z x))
Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify4.0ms (0.1%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 z y)
cost-diff0
#s(approx (+ (+ x y) z) (+.f64 z y))
cost-diff0
(+.f64 z x)
cost-diff0
#s(approx (+ (+ x y) z) (+.f64 z x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
01128
11728
22028
02028
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ x y) z) (+.f64 z x))
(+.f64 z x)
z
x
#s(approx (+ (+ x y) z) (+.f64 z y))
(+.f64 z y)
z
y
Outputs
#s(approx (+ (+ x y) z) (+.f64 z x))
(+.f64 z x)
z
x
#s(approx (+ (+ x y) z) (+.f64 z y))
(+.f64 z y)
z
y

localize17.0ms (0.5%)

Memory
20.5MiB live, 20.5MiB allocated; 0ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 z y)
accuracy32.5873221036803
#s(approx (+ (+ x y) z) (+.f64 z y))
accuracy0.0
(+.f64 z x)
accuracy1.0656607684350148
#s(approx (+ (+ x y) z) (+.f64 z x))
Samples
12.0ms256×0valid
Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 5.0ms (98.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Counts
4 → 21
Calls
Call 1
Inputs
#s(approx (+ (+ x y) z) (+.f64 z x))
(+.f64 z x)
#s(approx (+ (+ x y) z) (+.f64 z y))
(+.f64 z y)
Outputs
(+ y z)
(+ x (+ y z))
z
(+ x z)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (/ z x)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (/ z y)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+ x y)
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ y z)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
Calls

9 calls:

TimeVariablePointExpression
0.0ms
z
@-inf
((+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y))
0.0ms
z
@inf
((+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y))
0.0ms
x
@-inf
((+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y))
0.0ms
y
@-inf
((+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y))
0.0ms
x
@inf
((+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y))

simplify174.0ms (5.5%)

Memory
10.7MiB live, 141.7MiB allocated; 43ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06371
118471
248171
3126471
4366571
5630371
0800771
Stop Event
iter limit
node limit
Counts
21 → 18
Calls
Call 1
Inputs
(+ y z)
(+ x (+ y z))
z
(+ x z)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (/ z x)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (/ z y)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+ x y)
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ y z)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
Outputs
(+ y z)
(+.f64 z y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
z
(+ x z)
(+.f64 z x)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z x) y)
(* x (+ 1 (/ z x)))
(+.f64 z x)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 z x) y)
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(+ x y)
(+.f64 y x)
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z x) y)
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)

rewrite962.0ms (30.7%)

Memory
-133.9MiB live, 341.7MiB allocated; 1.2s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
01124
15824
245724
3682224
0845224
Stop Event
iter limit
node limit
iter limit
Counts
4 → 102
Calls
Call 1
Inputs
#s(approx (+ (+ x y) z) (+.f64 z x))
(+.f64 z x)
#s(approx (+ (+ x y) z) (+.f64 z y))
(+.f64 z y)
Outputs
#s(approx (+ (+ x y) z) (+.f64 z x))
(*.f64 (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z z (*.f64 x (+.f64 z x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x z) x) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 (-.f64 x z) x)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x z) x) (-.f64 (*.f64 (-.f64 x z) x) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (*.f64 (-.f64 z x) (+.f64 z x))) (+.f64 z x))
(*.f64 (fma.f64 (-.f64 x z) x (*.f64 z z)) (/.f64 (+.f64 z x) (fma.f64 (-.f64 x z) x (*.f64 z z))))
(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) (-.f64 z x)))
(/.f64 (-.f64 (*.f64 (*.f64 z (/.f64 z (-.f64 z x))) (*.f64 z (/.f64 z (-.f64 z x)))) (*.f64 (*.f64 x (/.f64 x (-.f64 z x))) (*.f64 x (/.f64 x (-.f64 z x))))) (fma.f64 z (/.f64 z (-.f64 z x)) (*.f64 x (/.f64 x (-.f64 z x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))))) (-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z (-.f64 z x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (-.f64 z x))) #s(literal 3 binary64))) (fma.f64 (*.f64 z (/.f64 z (-.f64 z x))) (*.f64 z (/.f64 z (-.f64 z x))) (fma.f64 (*.f64 x (/.f64 x (-.f64 z x))) (*.f64 x (/.f64 x (-.f64 z x))) (*.f64 (*.f64 z (/.f64 z (-.f64 z x))) (*.f64 x (/.f64 x (-.f64 z x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z)))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z))) (neg.f64 (-.f64 x z)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x x))) (neg.f64 (neg.f64 (-.f64 z x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x z) x (*.f64 z z)))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z)) (*.f64 (fma.f64 (-.f64 x z) x (*.f64 z z)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 x z) x (*.f64 z z)) (fma.f64 (-.f64 x z) x (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 z z (*.f64 x x)) (-.f64 z x)))
(/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (-.f64 x z))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 z z (*.f64 x x)) (pow.f64 z #s(literal 4 binary64))) (-.f64 z x)))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x z) x (*.f64 z z))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (fma.f64 (-.f64 x z) x (*.f64 z z))))
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (neg.f64 (-.f64 z x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x z) x (*.f64 z z))))
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (-.f64 z x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 x z) x (*.f64 z z)))
(neg.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (-.f64 z x)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (-.f64 x z) x (*.f64 z z))))
(neg.f64 (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (neg.f64 (-.f64 z x))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 x z) x (*.f64 z z)))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x z) x) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 (-.f64 x z) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 x z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x z) x) (-.f64 (*.f64 (-.f64 x z) x) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))))
(fma.f64 (/.f64 (*.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z z (*.f64 x (+.f64 z x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 z x)))
(fma.f64 (/.f64 (*.f64 z z) (*.f64 (-.f64 z x) (+.f64 z x))) (+.f64 z x) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 z x)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x z) x) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 (-.f64 x z) x)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 x z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x z) x) (-.f64 (*.f64 (-.f64 x z) x) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))))
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))))
(fma.f64 (neg.f64 z) (/.f64 (neg.f64 z) (-.f64 z x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 z x)))
(fma.f64 (fabs.f64 z) (/.f64 (fabs.f64 z) (-.f64 z x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 z x)))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x z) x (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))))
(fma.f64 (*.f64 z z) (/.f64 z (fma.f64 (-.f64 x z) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))))
(fma.f64 z (/.f64 (*.f64 z z) (fma.f64 (-.f64 x z) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))))
(fma.f64 z (/.f64 z (-.f64 z x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 z x)))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 x z) x (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (/.f64 (*.f64 z z) (-.f64 x z)))
(-.f64 (*.f64 z (/.f64 z (-.f64 z x))) (*.f64 x (/.f64 x (-.f64 z x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x z) x (*.f64 z z))))
(+.f64 (*.f64 z (/.f64 z (-.f64 z x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 z x)))
(+.f64 z x)
(+.f64 x z)
#s(approx (+ (+ x y) z) (+.f64 z y))
(*.f64 (/.f64 (*.f64 (-.f64 z y) (+.f64 z y)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z z (*.f64 y (+.f64 z y))))
(*.f64 (/.f64 (*.f64 (-.f64 z y) (+.f64 z y)) (*.f64 (-.f64 z y) (+.f64 z y))) (+.f64 z y))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 (-.f64 y z) y)))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y z) y) (-.f64 (*.f64 (-.f64 y z) y) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) (/.f64 (+.f64 z y) (fma.f64 (-.f64 y z) y (*.f64 z z))))
(*.f64 (+.f64 z y) (/.f64 (-.f64 z y) (-.f64 z y)))
(/.f64 (-.f64 (*.f64 (*.f64 z (/.f64 z (-.f64 z y))) (*.f64 z (/.f64 z (-.f64 z y)))) (*.f64 (*.f64 y (/.f64 y (-.f64 z y))) (*.f64 y (/.f64 y (-.f64 z y))))) (fma.f64 z (/.f64 z (-.f64 z y)) (*.f64 y (/.f64 y (-.f64 z y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))))) (-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z (-.f64 z y))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 z y))) #s(literal 3 binary64))) (fma.f64 (*.f64 z (/.f64 z (-.f64 z y))) (*.f64 z (/.f64 z (-.f64 z y))) (fma.f64 (*.f64 y (/.f64 y (-.f64 z y))) (*.f64 y (/.f64 y (-.f64 z y))) (*.f64 (*.f64 z (/.f64 z (-.f64 z y))) (*.f64 y (/.f64 y (-.f64 z y)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z)))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (neg.f64 (-.f64 y z)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 y y))) (neg.f64 (neg.f64 (-.f64 z y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z y)) (*.f64 (-.f64 z y) (*.f64 y y))) (*.f64 (-.f64 z y) (-.f64 z y)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z)) (*.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) (fma.f64 (-.f64 y z) y (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 z z (*.f64 y y)) (-.f64 z y)))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 z z (*.f64 y y)) (pow.f64 z #s(literal 4 binary64))) (-.f64 z y)))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y z) y (*.f64 z z))))
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (-.f64 y z))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 (-.f64 y z) y (*.f64 z z))))
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (neg.f64 (-.f64 z y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))))
(/.f64 (*.f64 (-.f64 z y) (+.f64 z y)) (-.f64 z y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 y z) y (*.f64 z z)))
(neg.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (-.f64 z y)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (-.f64 y z) y (*.f64 z z))))
(neg.f64 (/.f64 (*.f64 (-.f64 z y) (+.f64 z y)) (neg.f64 (-.f64 z y))))
(neg.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)))))
(fma.f64 (/.f64 (*.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z z (*.f64 y (+.f64 z y))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 z y)))
(fma.f64 (/.f64 (*.f64 z z) (*.f64 (-.f64 z y) (+.f64 z y))) (+.f64 z y) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 z y)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 (-.f64 y z) y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y z) y) (-.f64 (*.f64 (-.f64 y z) y) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 (-.f64 y z) y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y z) y) (-.f64 (*.f64 (-.f64 y z) y) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))))
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))))
(fma.f64 (neg.f64 z) (/.f64 (neg.f64 z) (-.f64 z y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 z y)))
(fma.f64 (fabs.f64 z) (/.f64 (fabs.f64 z) (-.f64 z y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 z y)))
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 y z) y (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))))
(fma.f64 (*.f64 z z) (/.f64 z (fma.f64 (-.f64 y z) y (*.f64 z z))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))))
(fma.f64 z (/.f64 z (-.f64 z y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 z y)))
(fma.f64 z (/.f64 (*.f64 z z) (fma.f64 (-.f64 y z) y (*.f64 z z))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))))
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (-.f64 y z) y (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y z)) (/.f64 (*.f64 z z) (-.f64 y z)))
(-.f64 (*.f64 z (/.f64 z (-.f64 z y))) (*.f64 y (/.f64 y (-.f64 z y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))))
(+.f64 (*.f64 z (/.f64 z (-.f64 z y))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 z y)))
(+.f64 z y)
(+.f64 y z)

eval12.0ms (0.4%)

Memory
39.6MiB live, 39.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 3 268 to 445 computations (86.4% saved)

prune36.0ms (1.2%)

Memory
-32.9MiB live, 14.3MiB allocated; 2ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1051106
Fresh000
Picked022
Done011
Total1054109
Accuracy
100.0%
Counts
109 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (+.f64 x y) z)
49.1%
#s(approx (+ (+ x y) z) (+.f64 z y))
98.3%
#s(approx (+ (+ x y) z) (+.f64 z x))
52.7%
#s(approx (+ (+ x y) z) (+.f64 y x))
Compiler

Compiled 32 to 26 computations (18.8% saved)

simplify4.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y x)
cost-diff0
#s(approx (+ (+ x y) z) (+.f64 y x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
0814
11214
21914
32114
02114
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ x y) z) (+.f64 y x))
(+.f64 y x)
y
x
Outputs
#s(approx (+ (+ x y) z) (+.f64 y x))
(+.f64 y x)
y
x

localize14.0ms (0.5%)

Memory
30.4MiB live, 30.4MiB allocated; 0ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 y x)
accuracy30.28644690653506
#s(approx (+ (+ x y) z) (+.f64 y x))
Samples
10.0ms256×0valid
Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 4.0ms (102.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
-51.3MiB live, 3.5MiB allocated; 4ms collecting garbage
Counts
2 → 17
Calls
Call 1
Inputs
#s(approx (+ (+ x y) z) (+.f64 y x))
(+.f64 y x)
Outputs
(+ y z)
(+ x (+ y z))
y
(+ x y)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x z)
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
y
@inf
((+ (+ x y) z) (+ y x))
1.0ms
z
@-inf
((+ (+ x y) z) (+ y x))
0.0ms
x
@-inf
((+ (+ x y) z) (+ y x))
0.0ms
y
@-inf
((+ (+ x y) z) (+ y x))
0.0ms
x
@inf
((+ (+ x y) z) (+ y x))

simplify128.0ms (4.1%)

Memory
47.5MiB live, 139.3MiB allocated; 7ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05159
114559
240559
3112959
4351659
5666359
0822559
Stop Event
iter limit
node limit
Counts
17 → 14
Calls
Call 1
Inputs
(+ y z)
(+ x (+ y z))
y
(+ x y)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x z)
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
Outputs
(+ y z)
(+.f64 z y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
y
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z x) y)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(+ x z)
(+.f64 z x)
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 z x) y)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z x) y)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z x) y)

rewrite309.0ms (9.9%)

Memory
-16.1MiB live, 310.6MiB allocated; 140ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
0812
14512
244212
3660312
0810912
Stop Event
iter limit
node limit
iter limit
Counts
2 → 70
Calls
Call 1
Inputs
#s(approx (+ (+ x y) z) (+.f64 y x))
(+.f64 y x)
Outputs
#s(approx (+ (+ x y) z) (+.f64 y x))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (-.f64 x y) x)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x y) x) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 x y)))
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 y x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y)))) (*.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x)))) (*.f64 (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))) (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 y x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))) (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x))) (fma.f64 (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 y x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(neg.f64 (neg.f64 (+.f64 y x)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (-.f64 x y) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x y) x) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (-.f64 x y) x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x y) x) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)) (*.f64 x (/.f64 x (-.f64 x y))))
(fma.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x) (*.f64 x (/.f64 x (-.f64 x y))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)) (*.f64 y (/.f64 y (-.f64 y x))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (*.f64 y (/.f64 y (-.f64 y x))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 y x))))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 x y))))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 y x))))
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 x y))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 x y))))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 y x))))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))
(-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 y x))))
(+.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 x y))))
(+.f64 y x)
(+.f64 x y)

eval8.0ms (0.3%)

Memory
28.0MiB live, 28.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 501 to 317 computations (87.3% saved)

prune4.0ms (0.1%)

Memory
-35.5MiB live, 10.9MiB allocated; 3ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New74074
Fresh000
Picked011
Done033
Total74478
Accuracy
100.0%
Counts
78 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (+.f64 x y) z)
49.1%
#s(approx (+ (+ x y) z) (+.f64 z y))
98.3%
#s(approx (+ (+ x y) z) (+.f64 z x))
52.7%
#s(approx (+ (+ x y) z) (+.f64 y x))
Compiler

Compiled 64 to 39 computations (39.1% saved)

regimes10.0ms (0.3%)

Memory
32.0MiB live, 32.0MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ x y) z) (+.f64 y x))
#s(approx (+ (+ x y) z) (+.f64 z x))
#s(approx (+ (+ x y) z) (+.f64 z y))
(+.f64 (+.f64 x y) z)
Outputs
(+.f64 (+.f64 x y) z)
Calls

5 calls:

2.0ms
z
2.0ms
(+.f64 (+.f64 x y) z)
2.0ms
y
2.0ms
x
2.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
100.0%1(+.f64 x y)
100.0%1(+.f64 (+.f64 x y) z)
100.0%1x
100.0%1y
100.0%1z
Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes10.0ms (0.3%)

Memory
-21.3MiB live, 25.1MiB allocated; 2ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ x y) z) (+.f64 y x))
#s(approx (+ (+ x y) z) (+.f64 z x))
#s(approx (+ (+ x y) z) (+.f64 z y))
Outputs
#s(approx (+ (+ x y) z) (+.f64 z x))
Calls

5 calls:

3.0ms
y
2.0ms
x
2.0ms
(+.f64 x y)
2.0ms
z
2.0ms
(+.f64 (+.f64 x y) z)
Results
AccuracySegmentsBranch
98.3%1(+.f64 x y)
98.3%1(+.f64 (+.f64 x y) z)
98.3%1x
98.3%1y
98.3%1z
Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes6.0ms (0.2%)

Memory
17.5MiB live, 17.5MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ x y) z) (+.f64 y x))
Outputs
#s(approx (+ (+ x y) z) (+.f64 y x))
Calls

5 calls:

1.0ms
(+.f64 (+.f64 x y) z)
1.0ms
x
1.0ms
z
1.0ms
(+.f64 x y)
1.0ms
y
Results
AccuracySegmentsBranch
52.7%1(+.f64 x y)
52.7%1(+.f64 (+.f64 x y) z)
52.7%1x
52.7%1y
52.7%1z
Compiler

Compiled 11 to 18 computations (-63.6% saved)

simplify14.0ms (0.4%)

Memory
-28.9MiB live, 25.3MiB allocated; 9ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01123
11523
22223
32423
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) z)
#s(approx (+ (+ x y) z) (+.f64 z x))
#s(approx (+ (+ x y) z) (+.f64 y x))
Outputs
(+.f64 (+.f64 x y) z)
#s(approx (+ (+ x y) z) (+.f64 z x))
#s(approx (+ (+ x y) z) (+.f64 y x))

derivations242.0ms (7.7%)

Memory
7.6MiB live, 240.5MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06371
118471
248171
3126471
4366571
5630371
0800771
05159
114559
240559
3112959
4351859
5666059
0822659
Stop Event
done
iter limit
node limit
iter limit
node limit
Compiler

Compiled 23 to 11 computations (52.2% saved)

preprocess27.0ms (0.9%)

Memory
-2.5MiB live, 42.7MiB allocated; 6ms collecting garbage
Remove

(sort x y z)

Compiler

Compiled 76 to 52 computations (31.6% saved)

end0.0ms (0%)

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

Profiling

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