Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendInside from plot-0.2.3.4

Time bar (total: 4.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample774.0ms (16.5%)

Memory
-17.1MiB live, 1 135.4MiB allocated
Samples
378.0ms7 652×0valid
36.0ms358×1valid
34.0ms69×3valid
34.0ms177×2valid
Precisions
Click to see histograms. Total time spent on operations: 268.0ms
ival-add: 228.0ms (85.1% of total)
adjust: 31.0ms (11.6% of total)
ival-true: 6.0ms (2.2% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

explain138.0ms (2.9%)

Memory
1.0MiB live, 243.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (+.f64 (+.f64 x y) y) x)
00-0-y
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
00-0-(+.f64 (+.f64 x y) y)
00-0-(+.f64 x y)
00-0-z
00-0-(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) 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
28.0ms484×0valid
2.0ms10×2valid
2.0ms14×1valid
1.0ms3valid
Compiler

Compiled 167 to 44 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-add: 14.0ms (85.9% of total)
adjust: 1.0ms (6.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess340.0ms (7.2%)

Memory
11.8MiB live, 49.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039104
113983
254781
3235681
4427981
5557481
6595481
7606981
8608081
9608081
10669381
11691681
12693481
13693481
14694481
15695481
16695481
17695881
18771881
19771881
0811
01311
1269
2719
31639
42669
52739
02737
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Outputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (+.f64 x y) y)
cost-diff0
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
cost-diff64
(+.f64 (+.f64 (+.f64 x y) y) x)
cost-diff128
(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0838
01338
12632
27132
316332
426632
527332
027328
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)
(+.f64 (+.f64 (+.f64 x y) y) x)
(+.f64 (+.f64 x y) y)
(+.f64 x y)
x
y
z
Outputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+.f64 (+.f64 (+.f64 x y) y) x)
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+.f64 (+.f64 x y) y)
(fma.f64 #s(literal 2 binary64) y x)
(+.f64 x y)
(+.f64 y x)
x
y
z

localize51.0ms (1.1%)

Memory
-13.3MiB live, 66.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x y)
accuracy0.0234375
(+.f64 (+.f64 x y) y)
accuracy0.02734375
(+.f64 (+.f64 (+.f64 x y) y) x)
accuracy0.0390625
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Samples
40.0ms242×0valid
4.0ms3valid
1.0ms2valid
1.0ms1valid
Compiler

Compiled 78 to 18 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-add: 37.0ms (96.5% of total)
adjust: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated
Counts
5 → 40
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)
(+.f64 (+.f64 (+.f64 x y) y) x)
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(+.f64 (+.f64 x y) y)
(+.f64 x y)
Outputs
(+ z (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(* 2 y)
(+ (* 2 x) (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ x (* 2 y))
y
(+ x y)
(* 2 x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (* 2 (/ y x))))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
x
(* x (+ 1 (* 2 (/ y x))))
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ z (* 2 x))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 2 (* 2 (/ x y))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (/ x y)))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (+ (* 2 x) (* 2 y)))
z
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
Calls

9 calls:

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

simplify125.0ms (2.7%)

Memory
-0.2MiB live, 118.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113222
1343220
2900220
32798220
46707220
08244188
Stop Event
iter limit
node limit
Counts
40 → 37
Calls
Call 1
Inputs
(+ z (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(* 2 y)
(+ (* 2 x) (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ x (* 2 y))
y
(+ x y)
(* 2 x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (* 2 (/ y x))))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
x
(* x (+ 1 (* 2 (/ y x))))
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ z (* 2 x))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 2 (* 2 (/ x y))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (/ x y)))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (+ (* 2 x) (* 2 y)))
z
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
Outputs
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 x) (* 2 y))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
y
(+ x y)
(+.f64 y x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* x (+ 2 (* 2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
x
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* -1 (* x (- (* -2 (/ y x)) 2)))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(+ z (* 2 x))
(fma.f64 #s(literal 2 binary64) x z)
(+ x (+ z (* 2 x)))
(fma.f64 #s(literal 3 binary64) x z)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* y (+ 2 (* 2 (/ x y))))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* y (+ 2 (/ x y)))
(fma.f64 #s(literal 2 binary64) y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* -1 (* y (- (* -2 (/ x y)) 2)))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) x)
z
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))

rewrite177.0ms (3.8%)

Memory
-6.9MiB live, 265.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0835
01335
18129
287829
0813026
Stop Event
iter limit
node limit
iter limit
Counts
5 → 593
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)
(+.f64 (+.f64 (+.f64 x y) y) x)
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(+.f64 (+.f64 x y) y)
(+.f64 x y)
Outputs
(*.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 #s(literal 2 binary64) (+.f64 y x)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 2 binary64)) (pow.f64 (+.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 z x))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 y x) z))
(*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 3 binary64)) (pow.f64 (+.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 z x))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z))))
(*.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) (+.f64 y x))))))))
(*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (neg.f64 z) z)) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)) (*.f64 z (*.f64 #s(literal 2 binary64) (+.f64 y x)))))))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) (+.f64 y x))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 y x) z)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)) (fma.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z))))))
(/.f64 (+.f64 (pow.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) y x)) (+.f64 z (fma.f64 #s(literal 2 binary64) y x)) (-.f64 (*.f64 x x) (*.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) y x)) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (fma.f64 (+.f64 z (+.f64 y x)) (+.f64 z (+.f64 y x)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 2 binary64)) (*.f64 (+.f64 z x) (fma.f64 #s(literal 2 binary64) y x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 y x) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (+.f64 y x) z) (+.f64 (+.f64 y x) z)) (*.f64 (+.f64 y x) (+.f64 (+.f64 y x) z)))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (+.f64 y (+.f64 z x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 y (+.f64 z x)) (+.f64 y (+.f64 z x))) (*.f64 (+.f64 y x) (+.f64 y (+.f64 z x))))))
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(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) y))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(fma.f64 (fma.f64 y y (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 y x)) y)
(fma.f64 #s(literal 1 binary64) (+.f64 y x) y)
(fma.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 y y)) x)
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))) x)
(fma.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))) y)
(fma.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) y)
(fma.f64 #s(literal 2 binary64) y x)
(fma.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 y x) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (+.f64 y x) y))))
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x)))) y)
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) y)
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (+.f64 y x))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y (+.f64 y x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) y))))
(-.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (+.f64 y x) y)))
(+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (+.f64 y x) y))))
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
(+.f64 (+.f64 y x) y)
(+.f64 y (+.f64 y x))
(+.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 (fma.f64 y y (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(*.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x)))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))))
(/.f64 (neg.f64 (fma.f64 y y (neg.f64 (*.f64 x x)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (neg.f64 (*.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 y (-.f64 y x) (*.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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(/.f64 (fma.f64 y y (neg.f64 (*.f64 x x))) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (fma.f64 y y (neg.f64 (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (neg.f64 (*.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 y y (-.f64 (*.f64 x x) (*.f64 y x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(+.f64 y x)
(+.f64 x y)

eval105.0ms (2.2%)

Memory
-1.3MiB live, 203.8MiB allocated
Compiler

Compiled 22 025 to 2 474 computations (88.8% saved)

prune37.0ms (0.8%)

Memory
2.4MiB live, 41.9MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New5996605
Fresh000
Picked101
Done000
Total6006606
Accuracy
100.0%
Counts
606 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.1%
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)
69.7%
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z)) x)
62.9%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
100.0%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))
69.8%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
33.4%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
Compiler

Compiled 200 to 138 computations (31% saved)

simplify8.0ms (0.2%)

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

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 2 binary64) x z)
cost-diff0
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z))
cost-diff0
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z)) x)
cost-diff0
(+.f64 y x)
cost-diff0
(fma.f64 (+.f64 y x) #s(literal 2 binary64) x)
cost-diff0
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
cost-diff0
(fma.f64 #s(literal 3 binary64) x z)
cost-diff0
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff0
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
cost-diff0
(fma.f64 #s(literal 2 binary64) y z)
cost-diff0
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
cost-diff0
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023145
034145
160129
2112129
3224125
4288125
5290125
0290123
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
#s(literal 3 binary64)
x
(fma.f64 #s(literal 2 binary64) y z)
#s(literal 2 binary64)
y
z
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
(fma.f64 #s(literal 3 binary64) x z)
#s(literal 3 binary64)
x
z
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) x)
(+.f64 y x)
y
x
#s(literal 2 binary64)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z)) x)
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z))
(fma.f64 #s(literal 2 binary64) x z)
#s(literal 2 binary64)
x
z
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x z)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
#s(literal 3 binary64)
x
(fma.f64 #s(literal 2 binary64) y z)
#s(literal 2 binary64)
y
z
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
(fma.f64 #s(literal 3 binary64) x z)
#s(literal 3 binary64)
x
z
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) x)
(+.f64 y x)
y
x
#s(literal 2 binary64)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z)) x)
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z))
(fma.f64 #s(literal 2 binary64) x z)
#s(literal 2 binary64)
x
z

localize84.0ms (1.8%)

Memory
-13.9MiB live, 61.8MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 #s(literal 2 binary64) x z)
accuracy0.0390625
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z)) x)
accuracy19.351206632302826
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z))
accuracy0
(+.f64 y x)
accuracy0.07421875
(fma.f64 (+.f64 y x) #s(literal 2 binary64) x)
accuracy23.717220799670287
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
accuracy0
(fma.f64 #s(literal 3 binary64) x z)
accuracy19.35131822290651
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
accuracy0
(*.f64 #s(literal 3 binary64) x)
accuracy42.62947420196993
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
accuracy0
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
accuracy0
(fma.f64 #s(literal 2 binary64) y z)
accuracy0
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))
Samples
34.0ms233×0valid
3.0ms2valid
3.0ms3valid
2.0ms1valid
Compiler

Compiled 264 to 45 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-add: 20.0ms (70.1% of total)
ival-mult: 6.0ms (21% of total)
adjust: 3.0ms (10.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
13.3MiB live, 13.3MiB allocated
Counts
13 → 54
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(fma.f64 #s(literal 2 binary64) y z)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
(fma.f64 #s(literal 3 binary64) x z)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) x)
(+.f64 y x)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z)) x)
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z))
(fma.f64 #s(literal 2 binary64) x z)
Outputs
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
z
(+ z (* 3 x))
(* 2 y)
(+ (* 2 y) (* 3 x))
y
(+ x y)
(+ z (+ (* 2 x) (* 2 y)))
(+ z (* 2 x))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (/ z x)))
(* x (+ 3 (* 2 (/ y x))))
x
(* x (+ 1 (/ y x)))
(* 2 x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (/ z x)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ z x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ z x)) 2)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (* 2 x))
(+ x (+ (* 2 x) (* 2 y)))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))
(* y (+ 2 (/ z y)))
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(* y (+ 1 (/ x y)))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(+ (* 2 x) (* 2 y))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))
(* z (+ 1 (* 2 (/ y z))))
(* z (+ 1 (* 3 (/ x z))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (* 2 (/ x z))))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))
(* -1 (* z (- (* -2 (/ y z)) 1)))
(* -1 (* z (- (* -3 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* -1 (* z (- (* -2 (/ x z)) 1)))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) (+ (* 2 y) z)) (+ (* 2 y) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (* 3 x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ y x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (* 2 x) z))
1.0ms
x
@inf
((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) (+ (* 2 y) z)) (+ (* 2 y) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (* 3 x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ y x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (* 2 x) z))
1.0ms
y
@-inf
((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) (+ (* 2 y) z)) (+ (* 2 y) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (* 3 x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ y x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (* 2 x) z))
1.0ms
x
@0
((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) (+ (* 2 y) z)) (+ (* 2 y) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (* 3 x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ y x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (* 2 x) z))
1.0ms
y
@inf
((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) (+ (* 2 y) z)) (+ (* 2 y) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (* 3 x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ y x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z) (+ (* 2 x) z))

simplify133.0ms (2.8%)

Memory
15.6MiB live, 96.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0160314
1497314
21287314
33828314
47201314
08211261
Stop Event
iter limit
node limit
Counts
54 → 51
Calls
Call 1
Inputs
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
z
(+ z (* 3 x))
(* 2 y)
(+ (* 2 y) (* 3 x))
y
(+ x y)
(+ z (+ (* 2 x) (* 2 y)))
(+ z (* 2 x))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (/ z x)))
(* x (+ 3 (* 2 (/ y x))))
x
(* x (+ 1 (/ y x)))
(* 2 x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (/ z x)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ z x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ z x)) 2)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (* 2 x))
(+ x (+ (* 2 x) (* 2 y)))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))
(* y (+ 2 (/ z y)))
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(* y (+ 1 (/ x y)))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(+ (* 2 x) (* 2 y))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))
(* z (+ 1 (* 2 (/ y z))))
(* z (+ 1 (* 3 (/ x z))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (* 2 (/ x z))))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))
(* -1 (* z (- (* -2 (/ y z)) 1)))
(* -1 (* z (- (* -3 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* -1 (* z (- (* -2 (/ x z)) 1)))
Outputs
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
z
(+ z (* 3 x))
(fma.f64 #s(literal 3 binary64) x z)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
y
(+ x y)
(+.f64 y x)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (* 2 x))
(fma.f64 #s(literal 2 binary64) x z)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* x (+ 3 (/ z x)))
(fma.f64 #s(literal 3 binary64) x z)
(* x (+ 3 (* 2 (/ y x))))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* x (+ 2 (/ z x)))
(fma.f64 #s(literal 2 binary64) x z)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* -1 (* x (- (* -1 (/ z x)) 3)))
(fma.f64 #s(literal 3 binary64) x z)
(* -1 (* x (- (* -2 (/ y x)) 3)))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* -1 (* x (- (* -1 (/ z x)) 2)))
(fma.f64 #s(literal 2 binary64) x z)
(+ x (+ z (* 2 x)))
(fma.f64 #s(literal 3 binary64) x z)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(+ x (* 2 x))
(*.f64 #s(literal 3 binary64) x)
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* y (+ 2 (/ z y)))
(fma.f64 #s(literal 2 binary64) y z)
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* -1 (* y (- (* -1 (/ z y)) 2)))
(fma.f64 #s(literal 2 binary64) y z)
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ (* 2 x) (* 2 y))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* z (+ 1 (* 2 (/ y z))))
(fma.f64 #s(literal 2 binary64) y z)
(* z (+ 1 (* 3 (/ x z))))
(fma.f64 #s(literal 3 binary64) x z)
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* z (+ 1 (* 2 (/ x z))))
(fma.f64 #s(literal 2 binary64) x z)
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* -1 (* z (- (* -2 (/ y z)) 1)))
(fma.f64 #s(literal 2 binary64) y z)
(* -1 (* z (- (* -3 (/ x z)) 1)))
(fma.f64 #s(literal 3 binary64) x z)
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* -1 (* z (- (* -2 (/ x z)) 1)))
(fma.f64 #s(literal 2 binary64) x z)

rewrite260.0ms (5.5%)

Memory
-6.7MiB live, 145.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023129
034129
1182113
21929113
08458111
Stop Event
iter limit
node limit
iter limit
Counts
13 → 223
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(fma.f64 #s(literal 2 binary64) y z)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
(fma.f64 #s(literal 3 binary64) x z)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) x)
(+.f64 y x)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z)) x)
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z))
(fma.f64 #s(literal 2 binary64) x z)
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))
(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 2 binary64) y z) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) y z)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) y z) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) y z) (-.f64 (fma.f64 #s(literal 2 binary64) y z) (*.f64 #s(literal 3 binary64) x)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) y z)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 2 binary64) y z) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) y z) (-.f64 (fma.f64 #s(literal 2 binary64) y z) (*.f64 #s(literal 3 binary64) x)))) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) y z) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 3 binary64) x)) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y z) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (fma.f64 #s(literal 2 binary64) y z) (*.f64 #s(literal 3 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 3 binary64) x)) z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 2 binary64) y z) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) y z)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) y z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) y z) (-.f64 (fma.f64 #s(literal 2 binary64) y z) (*.f64 #s(literal 3 binary64) x)))))))
(/.f64 (fma.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (-.f64 z (*.f64 #s(literal 3 binary64) x)) (*.f64 (-.f64 y y) (-.f64 (*.f64 z z) (*.f64 #s(literal 9 binary64) (*.f64 x x))))) (*.f64 (-.f64 y y) (-.f64 z (*.f64 #s(literal 3 binary64) x))))
(/.f64 (fma.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) z) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 (neg.f64 z) z))) (*.f64 (-.f64 y y) #s(literal 1 binary64))) (*.f64 (-.f64 y y) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) z) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 (neg.f64 z) z)))))
(/.f64 (fma.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 #s(literal 3 binary64) x)))) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 y y) #s(literal 1 binary64))) (*.f64 (-.f64 y y) (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 #s(literal 3 binary64) x)))) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(/.f64 (fma.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) z)) (*.f64 (-.f64 y y) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 (neg.f64 z) z))))) (*.f64 (-.f64 y y) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) z))))
(/.f64 (fma.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 #s(literal 3 binary64) x))))) (*.f64 (-.f64 y y) (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (-.f64 y y) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 #s(literal 3 binary64) x)))))))
(/.f64 (fma.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (-.f64 (*.f64 #s(literal 3 binary64) x) z) (*.f64 (-.f64 y y) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 (neg.f64 z) z)))) (*.f64 (-.f64 y y) (-.f64 (*.f64 #s(literal 3 binary64) x) z)))
(/.f64 (fma.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 z z (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 3 binary64) x) z))) (*.f64 (-.f64 y y) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (-.f64 y y) (fma.f64 z z (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 3 binary64) x) z)))))
(/.f64 (fma.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 #s(literal 3 binary64) x)))) (*.f64 (-.f64 y y) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (-.f64 y y) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 #s(literal 3 binary64) x))))))
(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 z (*.f64 #s(literal 3 binary64) x)) (*.f64 (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))) (-.f64 (*.f64 z z) (*.f64 #s(literal 9 binary64) (*.f64 x x))))) (*.f64 (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))) (-.f64 z (*.f64 #s(literal 3 binary64) x))))
(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) z) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 (neg.f64 z) z))) (*.f64 (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64))) (*.f64 (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) z) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 (neg.f64 z) z)))))
(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 #s(literal 3 binary64) x)))) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64))) (*.f64 (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 #s(literal 3 binary64) x)))) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) z)) (*.f64 (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 (neg.f64 z) z))))) (*.f64 (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) z))))
(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 #s(literal 3 binary64) x))))) (*.f64 (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))) (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 #s(literal 3 binary64) x)))))))
(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal 3 binary64) x) z) (*.f64 (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 (neg.f64 z) z)))) (*.f64 (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))) (-.f64 (*.f64 #s(literal 3 binary64) x) z)))
(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 3 binary64) x) z))) (*.f64 (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 z z (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 3 binary64) x) z)))))
(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 #s(literal 3 binary64) x)))) (*.f64 (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 #s(literal 3 binary64) x))))))
(/.f64 (fma.f64 (-.f64 (*.f64 z z) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (-.f64 y y) (*.f64 (-.f64 z (*.f64 #s(literal 3 binary64) x)) (-.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (-.f64 z (*.f64 #s(literal 3 binary64) x)) (-.f64 y y)))
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(-.f64 (/.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z)) x)) (/.f64 (*.f64 x x) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z)) x)))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z)) x)
(+.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z)))
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z))
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (neg.f64 z) z)) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) z) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (neg.f64 z) z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) x)))) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 z (*.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (neg.f64 z) z)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) z))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) z) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (neg.f64 z) z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) x)))) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 z (*.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) z) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (neg.f64 z) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) x)))) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (neg.f64 z) z))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) z)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 2 binary64) x) z)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (neg.f64 z) z)) (-.f64 (*.f64 #s(literal 2 binary64) x) z))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 2 binary64) x) z))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal 2 binary64) x z)
(fma.f64 x #s(literal 2 binary64) z)
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 2 binary64) x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) x) z)))
(+.f64 (*.f64 #s(literal 2 binary64) x) z)
(+.f64 z (*.f64 #s(literal 2 binary64) x))

eval73.0ms (1.6%)

Memory
4.0MiB live, 41.0MiB allocated
Compiler

Compiled 8 605 to 898 computations (89.6% saved)

prune7.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New2333236
Fresh011
Picked055
Done000
Total2339242
Accuracy
100.0%
Counts
242 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.1%
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)
69.7%
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z)) x)
62.9%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
100.0%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))
69.8%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
68.6%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
33.4%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
62.9%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))))
31.9%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))
Compiler

Compiled 165 to 114 computations (30.9% saved)

simplify62.0ms (1.3%)

Memory
-29.8MiB live, 8.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 2 binary64) y z)
cost-diff0
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))
cost-diff0
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)
cost-diff0
(fma.f64 #s(literal 2 binary64) y z)
cost-diff0
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
cost-diff0
(*.f64 #s(literal 2 binary64) y)
cost-diff0
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
cost-diff0
#s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)))
cost-diff0
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))))
cost-diff0
(*.f64 #s(literal 2 binary64) y)
cost-diff0
#s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y))
cost-diff0
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023153
028153
148143
2102143
3214136
4276136
5282136
0282131
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))))
#s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
#s(literal 3 binary64)
x
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
(fma.f64 #s(literal 2 binary64) y z)
#s(literal 2 binary64)
y
z
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))
(fma.f64 #s(literal 2 binary64) y z)
#s(literal 2 binary64)
y
z
x
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))))
#s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
#s(literal 3 binary64)
x
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
(fma.f64 #s(literal 2 binary64) y z)
#s(literal 2 binary64)
y
z
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))
(fma.f64 #s(literal 2 binary64) y z)
#s(literal 2 binary64)
y
z
x

localize64.0ms (1.4%)

Memory
-12.4MiB live, 57.1MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 #s(literal 2 binary64) y z)
accuracy0.0390625
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)
accuracy20.09212272719265
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))
accuracy0
(fma.f64 #s(literal 2 binary64) y z)
accuracy20.10443867776052
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
accuracy0
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
accuracy0
(*.f64 #s(literal 2 binary64) y)
accuracy0
#s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)))
accuracy23.717220799670287
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))))
accuracy0
(*.f64 #s(literal 2 binary64) y)
accuracy23.717220799670287
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))
accuracy30.168155018105
#s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y))
Samples
46.0ms235×0valid
3.0ms3valid
2.0ms2valid
2.0ms1valid
Compiler

Compiled 258 to 43 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-add: 20.0ms (49.9% of total)
ival-mult: 17.0ms (42.4% of total)
adjust: 2.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated
Counts
10 → 36
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))))
#s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
(fma.f64 #s(literal 2 binary64) y z)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))
Outputs
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(* 2 y)
(+ (* 2 y) (* 3 x))
(+ z (+ (* 2 x) (* 2 y)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (* 2 (/ y x))))
(* 2 x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (* 2 x))
(+ x (+ (* 2 x) (* 2 y)))
z
(+ z (* 2 x))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(* y (+ 2 (* 3 (/ x y))))
(* y (+ 2 (/ z y)))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(+ (* 2 x) (* 2 y))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (* 2 (/ y z))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -2 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (* 2 y) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ (* 3 x) (* 2 y)) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 2 y) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z))
1.0ms
y
@inf
((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (* 2 y) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ (* 3 x) (* 2 y)) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 2 y) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z))
1.0ms
x
@-inf
((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (* 2 y) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ (* 3 x) (* 2 y)) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 2 y) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z))
1.0ms
x
@inf
((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (* 2 y) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ (* 3 x) (* 2 y)) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 2 y) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z))
1.0ms
y
@0
((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (* 2 y) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ (* 3 x) (* 2 y)) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 2 y) z) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ (+ (+ x y) y) x) z))

simplify107.0ms (2.3%)

Memory
2.2MiB live, 77.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112232
1340230
2926230
32556230
45945230
08210192
Stop Event
iter limit
node limit
Counts
36 → 35
Calls
Call 1
Inputs
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(* 2 y)
(+ (* 2 y) (* 3 x))
(+ z (+ (* 2 x) (* 2 y)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (* 2 (/ y x))))
(* 2 x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (* 2 x))
(+ x (+ (* 2 x) (* 2 y)))
z
(+ z (* 2 x))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(* y (+ 2 (* 3 (/ x y))))
(* y (+ 2 (/ z y)))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(+ (* 2 x) (* 2 y))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (* 2 (/ y z))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -2 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
Outputs
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* x (+ 3 (* 2 (/ y x))))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(+ x (+ z (* 2 x)))
(fma.f64 #s(literal 3 binary64) x z)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(+ x (* 2 x))
(*.f64 #s(literal 3 binary64) x)
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
z
(+ z (* 2 x))
(fma.f64 #s(literal 2 binary64) x z)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(* y (+ 2 (* 3 (/ x y))))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(* y (+ 2 (/ z y)))
(fma.f64 #s(literal 2 binary64) y z)
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(* -1 (* y (- (* -1 (/ z y)) 2)))
(fma.f64 #s(literal 2 binary64) y z)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(+ (* 2 x) (* 2 y))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* z (+ 1 (* 2 (/ y z))))
(fma.f64 #s(literal 2 binary64) y z)
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* -1 (* z (- (* -2 (/ y z)) 1)))
(fma.f64 #s(literal 2 binary64) y z)
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)

rewrite266.0ms (5.7%)

Memory
-11.2MiB live, 177.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023133
028133
1150123
21641123
09895114
Stop Event
iter limit
node limit
iter limit
Counts
10 → 86
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))))
#s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
(fma.f64 #s(literal 2 binary64) y z)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 y y))) (neg.f64 (-.f64 y y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (-.f64 y y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y y)) (/.f64 (*.f64 y y) (-.f64 y y)))
(+.f64 y y)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))))
#s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)) (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x)))) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)) (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x)))) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)) (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x)))) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) y)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) y))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x)))))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 3 binary64) x))
(fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x))
(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))))
(+.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 2 binary64) y))
(+.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) z) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) y)))) (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (*.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) z))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) z) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) y)))) (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (-.f64 z (*.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) z) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) y)))) (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) z)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) z)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (-.f64 (*.f64 #s(literal 2 binary64) y) z))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) z))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) y)))))
(fma.f64 #s(literal 2 binary64) y z)
(fma.f64 y #s(literal 2 binary64) z)
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 #s(literal 2 binary64) y))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 z (*.f64 #s(literal 2 binary64) y))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) y) z)))
(+.f64 (*.f64 #s(literal 2 binary64) y) z)
(+.f64 z (*.f64 #s(literal 2 binary64) y))
(*.f64 (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64))) (+.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64))) (+.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64))) (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64))) (+.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)))) (/.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)) (/.f64 (*.f64 x x) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)
(+.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)))
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))

eval13.0ms (0.3%)

Memory
22.3MiB live, 22.3MiB allocated
Compiler

Compiled 4 344 to 410 computations (90.6% saved)

prune5.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New1272129
Fresh000
Picked224
Done145
Total1308138
Accuracy
100.0%
Counts
138 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.1%
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)
69.7%
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z)) x)
100.0%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))
69.8%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
68.6%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
33.4%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
62.9%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))
31.9%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))
Compiler

Compiled 147 to 100 computations (32% saved)

simplify61.0ms (1.3%)

Memory
-24.4MiB live, 21.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(+.f64 y y)
cost-diff0
(fma.f64 #s(literal 3 binary64) x (+.f64 y y))
cost-diff0
#s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
cost-diff0
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))
cost-diff-128
(+.f64 y y)
cost-diff0
#s(approx (+ (* (+ y x) 2) x) (+.f64 y y))
cost-diff0
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01990
02290
14186
29786
321480
428580
528980
028978
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))
#s(approx (+ (* (+ y x) 2) x) (+.f64 y y))
(+.f64 y y)
y
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))
#s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
(fma.f64 #s(literal 3 binary64) x (+.f64 y y))
#s(literal 3 binary64)
x
(+.f64 y y)
y
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (* (+ y x) 2) x) (+.f64 y y))
#s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y))
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
y
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))))
#s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
#s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)))
(fma.f64 #s(literal 3 binary64) x (+.f64 y y))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
#s(literal 3 binary64)
x
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
y

localize61.0ms (1.3%)

Memory
24.4MiB live, 61.9MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 #s(literal 3 binary64) x (+.f64 y y))
accuracy0
(+.f64 y y)
accuracy0
#s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
accuracy23.717220799670287
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))
accuracy0
(+.f64 y y)
accuracy23.717220799670287
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))
accuracy30.168155018105
#s(approx (+ (* (+ y x) 2) x) (+.f64 y y))
Samples
29.0ms3valid
20.0ms235×0valid
2.0ms2valid
2.0ms1valid
Compiler

Compiled 145 to 37 computations (74.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-add: 10.0ms (62.9% of total)
ival-mult: 3.0ms (18.9% of total)
adjust: 2.0ms (12.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
-28.1MiB live, 10.1MiB allocated
Counts
6 → 22
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))
#s(approx (+ (* (+ y x) 2) x) (+.f64 y y))
(+.f64 y y)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))
#s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
(fma.f64 #s(literal 3 binary64) x (+.f64 y y))
Outputs
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(* 2 y)
(+ (* 2 y) (* 3 x))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (* 2 (/ y x))))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (* 2 x))
(+ x (+ (* 2 x) (* 2 y)))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(* y (+ 2 (* 3 (/ x y))))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(* -1 (* y (- (* -3 (/ x y)) 2)))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ y y) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ (* 3 x) (+ y y)))
1.0ms
y
@inf
((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ y y) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ (* 3 x) (+ y y)))
1.0ms
y
@-inf
((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ y y) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ (* 3 x) (+ y y)))
1.0ms
x
@-inf
((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ y y) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ (* 3 x) (+ y y)))
0.0ms
y
@0
((+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ y y) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* (+ y x) 2) x) (+ (* 3 x) (+ y y)))

simplify144.0ms (3.1%)

Memory
4.7MiB live, 160.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079150
1232148
2639148
31821148
44579148
08301122
Stop Event
iter limit
node limit
Counts
22 → 21
Calls
Call 1
Inputs
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(* 2 y)
(+ (* 2 y) (* 3 x))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (* 2 (/ y x))))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (* 2 x))
(+ x (+ (* 2 x) (* 2 y)))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(* y (+ 2 (* 3 (/ x y))))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(* -1 (* y (- (* -3 (/ x y)) 2)))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
Outputs
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* x (+ 3 (* 2 (/ y x))))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(+ x (+ z (* 2 x)))
(fma.f64 #s(literal 3 binary64) x z)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(+ x (* 2 x))
(*.f64 #s(literal 3 binary64) x)
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(* y (+ 2 (* 3 (/ x y))))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))

rewrite227.0ms (4.8%)

Memory
3.2MiB live, 171.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01983
02283
113179
2156979
0807373
Stop Event
iter limit
node limit
iter limit
Counts
6 → 147
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))
#s(approx (+ (* (+ y x) 2) x) (+.f64 y y))
(+.f64 y y)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))
#s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
(fma.f64 #s(literal 3 binary64) x (+.f64 y y))
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 9 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 y y))
(*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) y)
(*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 y y) #s(literal 4 binary64))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 5 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 9/2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 6 binary64))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))))
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(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)))
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(/.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 0 binary64))) #s(literal 0 binary64))))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3/2 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 9 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 y y) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) y (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 #s(literal 3 binary64) x))
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(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) x))
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(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x))
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(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 2 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 3 binary64) x))
(fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x))
(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x y) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 3 binary64) x y) y)) (/.f64 (*.f64 y y) (-.f64 (fma.f64 #s(literal 3 binary64) x y) y)))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))) (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))))
(+.f64 (fma.f64 #s(literal 3 binary64) x y) y)
(+.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 2 binary64) y))
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(+.f64 y (fma.f64 #s(literal 3 binary64) x y))

eval31.0ms (0.7%)

Memory
8.8MiB live, 47.2MiB allocated
Compiler

Compiled 7 472 to 848 computations (88.7% saved)

prune11.0ms (0.2%)

Memory
-27.1MiB live, 21.5MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New2350235
Fresh000
Picked022
Done066
Total2358243
Accuracy
100.0%
Counts
243 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.1%
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)
69.7%
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z)) x)
100.0%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))
69.8%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
68.6%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
33.4%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
62.9%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))
31.9%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))
Compiler

Compiled 372 to 147 computations (60.5% saved)

regimes20.0ms (0.4%)

Memory
-0.7MiB live, 36.4MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z)) x)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))
Calls

4 calls:

6.0ms
x
5.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
4.0ms
z
4.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes17.0ms (0.4%)

Memory
0.0MiB live, 39.1MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z)) x)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))))
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))
Calls

4 calls:

5.0ms
x
4.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
4.0ms
y
4.0ms
z
Results
AccuracySegmentsBranch
90.7%3x
88.2%3y
90.2%4z
76.2%2(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes4.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) x z)) x)
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
89.7%3x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
89.7%3x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
Calls

3 calls:

2.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
68.6%1y
73.9%3z
84.5%3x
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes20.0ms (0.4%)

Memory
-23.8MiB live, 15.4MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
Calls

4 calls:

13.0ms
y
2.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
50.6%3y
40.1%4z
36.5%2(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
53.1%3x
Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes7.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))
Calls

4 calls:

2.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
31.9%1(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
31.9%1z
31.9%1y
31.9%1x
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch32.0ms (0.7%)

Memory
-4.4MiB live, 39.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.8521775967766674e+74
8.30052398990907e+78
13.0ms
-6.4425974059401655e+81
-2.2386587094802395e+73
Samples
11.0ms248×0valid
7.0ms18×1valid
1.0ms2valid
0.0ms3valid
Compiler

Compiled 638 to 470 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 6.0ms (82.3% of total)
adjust: 1.0ms (13.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Memory
12.5MiB live, 12.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
4.0ms
1.8521775967766674e+74
8.30052398990907e+78
1.0ms
-6.4425974059401655e+81
-2.2386587094802395e+73
Samples
2.0ms48×0valid
Compiler

Compiled 638 to 470 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-add: 1.0ms (96.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.4%)

Memory
-10.3MiB live, 26.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
532861345788070.4
220317320318053540.0
1.0ms
-6.4425974059401655e+81
-2.2386587094802395e+73
Samples
8.0ms114×0valid
1.0ms11×1valid
0.0ms2valid
Compiler

Compiled 558 to 422 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 3.0ms (82.8% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch37.0ms (0.8%)

Memory
-5.5MiB live, 68.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
3.0370421508388198e+84
3.211010848808967e+90
18.0ms
-2.7038841883828398e+157
-2.9478763279168155e+142
Samples
14.0ms260×0valid
3.0ms32×1valid
1.0ms2valid
1.0ms3valid
Compiler

Compiled 603 to 470 computations (22.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 7.0ms (75.4% of total)
adjust: 2.0ms (21.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch16.0ms (0.3%)

Memory
32.8MiB live, 32.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
3.827477089854045e-29
5.426864647993293e-28
7.0ms
-2.2386587094802395e+73
-1.0274578781425585e+73
Samples
7.0ms171×0valid
0.0ms2valid
0.0ms1valid
Compiler

Compiled 432 to 322 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 4.0ms (97.2% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify27.0ms (0.6%)

Memory
-32.7MiB live, 53.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055345
157345
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))
(if (<=.f64 x #s(literal -649999999999999980426909432749914791633485416989599199345027465844725072772726784 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 x #s(literal 660000000000000035880502900074580755468819969942685438009003810651662974976 binary64)) (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))))
(if (<=.f64 x #s(literal -649999999999999980426909432749914791633485416989599199345027465844725072772726784 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 x #s(literal 480000000000000016964581403128159438397993544383529167857667579435341053952 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))))
(if (<=.f64 x #s(literal -649999999999999980426909432749914791633485416989599199345027465844725072772726784 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 x #s(literal 49000000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))))
(if (<=.f64 x #s(literal -3800000000000000263524498845425129081803786634691723777176484167935438180414651964172906725072717957689915064217316072174965655133305549289947136 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 95999999999999996104005547809634822223231624606251338208294944941443576603291624849539072 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))))
(if (<=.f64 x #s(literal -14199999999999998535043656088048077384059956416277260837051293292898025472 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 4906163943676737/11150372599265311570767859136324180752990208 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y))) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))
(if (<=.f64 x #s(literal -649999999999999980426909432749914791633485416989599199345027465844725072772726784 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 x #s(literal 660000000000000035880502900074580755468819969942685438009003810651662974976 binary64)) (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))))
(if (<=.f64 x #s(literal -649999999999999980426909432749914791633485416989599199345027465844725072772726784 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 x #s(literal 480000000000000016964581403128159438397993544383529167857667579435341053952 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))))
(if (<=.f64 x #s(literal -649999999999999980426909432749914791633485416989599199345027465844725072772726784 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 x #s(literal 49000000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))))
(if (<=.f64 x #s(literal -3800000000000000263524498845425129081803786634691723777176484167935438180414651964172906725072717957689915064217316072174965655133305549289947136 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 95999999999999996104005547809634822223231624606251338208294944941443576603291624849539072 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))))
(if (<=.f64 x #s(literal -14199999999999998535043656088048077384059956416277260837051293292898025472 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 4906163943676737/11150372599265311570767859136324180752990208 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y))) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))

soundness1.0s (22.1%)

Memory
19.2MiB live, 572.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023133
028133
1150123
21641123
09895114
0160314
1497314
21287314
33828314
47201314
08211261
0113222
1343220
2900220
32798220
46707220
08244188
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 531 to 234 computations (55.9% saved)

preprocess44.0ms (0.9%)

Memory
9.2MiB live, 90.6MiB allocated
Compiler

Compiled 712 to 128 computations (82% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...