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

Time bar (total: 5.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

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

Compiled 13 to 10 computations (23.1% saved)

sample1.2s (22.6%)

Memory
6.2MiB live, 1 032.2MiB allocated
Samples
762.0ms7 640×0valid
41.0ms355×1valid
35.0ms204×2valid
12.0ms57×3valid
Precisions
Click to see histograms. Total time spent on operations: 348.0ms
ival-add: 312.0ms (89.8% of total)
adjust: 26.0ms (7.5% of total)
ival-true: 6.0ms (1.7% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain127.0ms (2.4%)

Memory
-1.8MiB live, 160.8MiB 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
24.0ms470×0valid
3.0ms16×2valid
3.0ms22×1valid
1.0ms3valid
Compiler

Compiled 129 to 36 computations (72.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-add: 13.0ms (84.2% of total)
adjust: 2.0ms (12.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess335.0ms (6.2%)

Memory
-7.6MiB live, 40.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039104
113983
254781
3238881
4438181
5570081
6607381
7618881
8619981
9619981
10682081
11703781
12705581
13705581
14706581
15707581
16707581
17707981
18785081
19785081
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
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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
1.8MiB live, 1.8MiB 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

localize23.0ms (0.4%)

Memory
-3.9MiB live, 34.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x y)
accuracy0.01953125
(+.f64 (+.f64 (+.f64 x y) y) x)
accuracy0.01953125
(+.f64 (+.f64 x y) y)
accuracy0.07421875
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Samples
15.0ms235×0valid
1.0ms2valid
1.0ms11×1valid
0.0ms3valid
Compiler

Compiled 78 to 18 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 6.0ms (79.9% of total)
adjust: 1.0ms (13.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB 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
@-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))

simplify143.0ms (2.6%)

Memory
4.3MiB live, 156.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113222
1343220
2900220
32808220
46855220
08165188
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))

rewrite184.0ms (3.4%)

Memory
12.1MiB live, 245.4MiB 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)

eval137.0ms (2.5%)

Memory
-8.3MiB live, 117.8MiB allocated
Compiler

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

prune61.0ms (1.1%)

Memory
-8.6MiB live, 30.3MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New6005605
Fresh000
Picked101
Done000
Total6015606
Accuracy
100.0%
Counts
606 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.8%
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)
67.7%
#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)))
66.3%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
35.3%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
Compiler

Compiled 168 to 116 computations (31% saved)

simplify8.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 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
(+.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
022146
031146
154130
2113130
3227126
4287126
5289126
0289124
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) 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) (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) 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

localize130.0ms (2.4%)

Memory
-2.5MiB live, 83.4MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 #s(literal 2 binary64) y z)
accuracy0.07421875
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)
accuracy21.893693604060058
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))
accuracy0.0
(+.f64 y x)
accuracy0.1171875
(fma.f64 (+.f64 y x) #s(literal 2 binary64) x)
accuracy20.660799161010495
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
accuracy0.0
(fma.f64 #s(literal 3 binary64) x z)
accuracy21.59450103746354
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
accuracy0.0
(*.f64 #s(literal 3 binary64) x)
accuracy41.39308203789306
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
accuracy0.0
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
accuracy0.0
(fma.f64 #s(literal 2 binary64) y z)
accuracy0.0
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z)))
Samples
79.0ms217×0valid
5.0ms11×3valid
5.0ms19×1valid
3.0ms2valid
Compiler

Compiled 266 to 42 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-add: 58.0ms (86.8% of total)
ival-mult: 5.0ms (7.5% of total)
adjust: 4.0ms (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 (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
12 → 50
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) 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)))
(* 3 x)
z
(+ z (* 3 x))
(* 2 y)
(+ (* 2 y) (* 3 x))
y
(+ x y)
(+ z (+ (* 2 x) (* 2 y)))
(* 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))))
(* -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)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (* 2 x))
(+ x (+ (* 2 x) (* 2 y)))
(+ z (* 2 x))
(* 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)))))
(* -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)))
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))
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))
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))
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))
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))

simplify133.0ms (2.5%)

Memory
4.4MiB live, 80.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149294
1462294
21209294
33683294
47310294
08379245
Stop Event
iter limit
node limit
Counts
50 → 47
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)))
(* 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))))
(* -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)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (* 2 x))
(+ x (+ (* 2 x) (* 2 y)))
(+ z (* 2 x))
(* 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)))))
(* -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)))
Outputs
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x 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)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x 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)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x 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)
(+ x (+ z (* 2 x)))
(fma.f64 #s(literal 3 binary64) x z)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x 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 (* 2 x))
(fma.f64 #s(literal 2 binary64) x z)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
(* y (+ 2 (+ (* 3 (/ x y)) (/ z y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x 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 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
(* -1 (* y (- (* -1 (/ (+ z (* 3 x)) y)) 2)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x 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 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
(* z (+ 1 (+ (* 2 (/ y z)) (* 3 (/ x z)))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x 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)
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
(* -1 (* z (- (* -1 (/ (+ (* 2 y) (* 3 x)) z)) 1)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x 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)

rewrite271.0ms (5%)

Memory
-3.7MiB live, 149.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022125
031125
1167109
21813109
08217107
Stop Event
iter limit
node limit
iter limit
Counts
12 → 200
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) 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) (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)))
(/.f64 (fma.f64 (-.f64 (*.f64 z z) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (-.f64 z (*.f64 #s(literal 3 binary64) x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (-.f64 z (*.f64 #s(literal 3 binary64) x)) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))))
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(+.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))

eval82.0ms (1.5%)

Memory
1.9MiB live, 48.4MiB allocated
Compiler

Compiled 8 640 to 845 computations (90.2% saved)

prune47.0ms (0.9%)

Memory
-24.4MiB live, 14.0MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2353238
Fresh000
Picked235
Done000
Total2376243
Accuracy
100.0%
Counts
243 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.7%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 (+.f64 y x) #s(literal 2 binary64) x))
66.3%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
65.8%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
35.3%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
67.7%
#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))))
33.9%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))
Compiler

Compiled 114 to 79 computations (30.7% saved)

simplify7.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
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
021115
025115
144109
296109
3219102
4288102
5294102
029499
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
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

localize79.0ms (1.5%)

Memory
12.3MiB live, 50.9MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 #s(literal 2 binary64) y z)
accuracy21.908212856614895
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
accuracy0.0
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
accuracy0.0
(*.f64 #s(literal 2 binary64) y)
accuracy0.0
#s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)))
accuracy20.660799161010495
#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))))
accuracy0.0
(*.f64 #s(literal 2 binary64) y)
accuracy20.660799161010495
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y)))
accuracy29.930744737824558
#s(approx (+ (* (+ y x) 2) x) (*.f64 #s(literal 2 binary64) y))
Samples
59.0ms223×0valid
3.0ms16×1valid
3.0ms10×2valid
3.0ms3valid
Compiler

Compiled 191 to 41 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 42.0ms (73.9% of total)
ival-add: 12.0ms (21.1% of total)
adjust: 3.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
8 → 26
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)
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)))
z
(* 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)))
(* -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)))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (* 2 (/ y z))))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -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))
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))
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))
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))
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))

simplify203.0ms (3.8%)

Memory
-25.9MiB live, 91.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091170
1272168
2749168
32134168
44963168
08317138
Stop Event
iter limit
node limit
Counts
26 → 25
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)))
z
(* 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)))
(* -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)))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (* 2 (/ y z))))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -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))
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)
(* -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)
(* 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)
(* -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)

rewrite230.0ms (4.3%)

Memory
6.1MiB live, 170.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021103
025103
113697
2153797
0951190
Stop Event
iter limit
node limit
iter limit
Counts
8 → 63
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)
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))

eval8.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated
Compiler

Compiled 2 524 to 294 computations (88.4% saved)

prune3.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New75277
Fresh000
Picked213
Done123
Total78583
Accuracy
100.0%
Counts
83 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.3%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
65.8%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
35.3%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
67.7%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))
33.9%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))
Compiler

Compiled 96 to 65 computations (32.3% saved)

simplify15.0ms (0.3%)

Memory
-25.9MiB live, 11.7MiB 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

localize45.0ms (0.8%)

Memory
-4.1MiB live, 80.2MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 #s(literal 3 binary64) x (+.f64 y y))
accuracy0.0
(+.f64 y y)
accuracy0.0
#s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
accuracy20.660799161010495
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))
accuracy0.0
(+.f64 y y)
accuracy20.660799161010495
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))
accuracy29.930744737824558
#s(approx (+ (* (+ y x) 2) x) (+.f64 y y))
Samples
19.0ms223×0valid
7.0ms10×2valid
7.0ms16×1valid
3.0ms3valid
Compiler

Compiled 145 to 37 computations (74.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-add: 12.0ms (54.5% of total)
ival-mult: 7.0ms (31.8% of total)
adjust: 3.0ms (13.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB 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
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)))
0.0ms
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
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
x
@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)))

simplify153.0ms (2.8%)

Memory
17.7MiB live, 176.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079150
1232148
2648148
31840148
44668148
08295122
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))

rewrite207.0ms (3.8%)

Memory
0.3MiB live, 192.7MiB 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)))
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(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3/2 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 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))
(fma.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) x))
(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))
(+.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x))
(+.f64 y (fma.f64 #s(literal 3 binary64) x y))

eval27.0ms (0.5%)

Memory
10.1MiB live, 48.6MiB allocated
Compiler

Compiled 7 472 to 848 computations (88.7% saved)

prune9.0ms (0.2%)

Memory
-15.9MiB live, 21.1MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2350235
Fresh000
Picked022
Done033
Total2355240
Accuracy
100.0%
Counts
240 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.3%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
65.8%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
35.3%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
67.7%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))))
33.9%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y)))
Compiler

Compiled 305 to 109 computations (64.3% saved)

regimes80.0ms (1.5%)

Memory
-19.0MiB live, 71.9MiB allocated
Counts
11 → 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) 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:

67.0ms
y
4.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
4.0ms
z
4.0ms
x
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)

regimes14.0ms (0.3%)

Memory
24.1MiB live, 24.1MiB allocated
Counts
9 → 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) 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
(+.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) (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))))
Calls

4 calls:

4.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
3.0ms
z
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
89.8%3x
91.5%3y
89.1%3z
76.5%4(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes3.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
7 → 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))
Outputs
#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))))
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
91.0%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.2%)

Memory
-32.0MiB live, 7.2MiB 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 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) (fma.f64 #s(literal 2 binary64) y z))
Calls

1 calls:

11.0ms
y
Results
AccuracySegmentsBranch
90.6%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory
16.5MiB live, 16.4MiB 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
72.3%3z
82.4%3x
75.6%5y
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes10.0ms (0.2%)

Memory
-18.0MiB live, 19.6MiB 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) #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)))
Calls

4 calls:

4.0ms
z
2.0ms
x
2.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
2.0ms
y
Results
AccuracySegmentsBranch
41.2%3z
58.6%3y
41.0%4(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
54.0%3x
Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes6.0ms (0.1%)

Memory
16.3MiB live, 16.3MiB 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:

1.0ms
x
1.0ms
y
1.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
1.0ms
z
Results
AccuracySegmentsBranch
33.9%1(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
33.9%1z
33.9%1x
33.9%1y
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch26.0ms (0.5%)

Memory
1.8MiB live, 42.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
3.352213089676749e+66
4.222248034790062e+68
9.0ms
-61018187792936260.0
-7173095867151842.0
Samples
9.0ms193×0valid
5.0ms2valid
1.0ms12×1valid
Compiler

Compiled 500 to 368 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 10.0ms (97.2% of total)
adjust: 1.0ms (9.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.352213089676749e+66
4.222248034790062e+68
3.0ms
-61018187792936260.0
-7173095867151842.0
Samples
1.0ms29×0valid
0.0ms1valid
0.0ms2valid
Compiler

Compiled 500 to 368 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-add: 1.0ms (105.3% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.4%)

Memory
4.6MiB live, 40.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
4.222248034790062e+68
2.1546797495250686e+78
1.0ms
-61018187792936260.0
-7173095867151842.0
Samples
11.0ms141×0valid
2.0ms15×1valid
1.0ms2valid
Compiler

Compiled 526 to 398 computations (24.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 8.0ms (88.4% of total)
adjust: 1.0ms (11% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.6%)

Memory
-9.0MiB live, 67.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
3.405023513598515e+163
3.250847159358839e+171
15.0ms
-3.783191869518778e+135
-1.8167008445208182e+130
Samples
13.0ms251×0valid
2.0ms21×1valid
2.0ms13×2valid
1.0ms3valid
Compiler

Compiled 572 to 446 computations (22% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 9.0ms (81.4% of total)
adjust: 2.0ms (18.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch16.0ms (0.3%)

Memory
-6.1MiB live, 39.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.222248034790062e+68
2.1546797495250686e+78
14.0ms
-7173095867151842.0
-362584473560.5153
Samples
8.0ms114×0valid
2.0ms14×1valid
Compiler

Compiled 698 to 518 computations (25.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 3.0ms (81.7% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify162.0ms (3%)

Memory
8.7MiB live, 47.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052302
175274
2132274
3248274
4317274
5323274
6329274
7329274
8347274
9354274
10362274
11375274
12446274
131390274
142407274
153079274
163944274
175156274
186893274
197321274
207610274
217825274
Stop Event
node 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)))
(if (<=.f64 y #s(literal -22000000000000000 binary64)) (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (if (<=.f64 y #s(literal 39999999999999999309471031356742393268959131502323729114308588601344 binary64)) #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))))))
(if (<=.f64 y #s(literal -27000000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) (if (<=.f64 y #s(literal 39999999999999999309471031356742393268959131502323729114308588601344 binary64)) #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))))))
(if (<=.f64 y #s(literal -27000000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) (if (<=.f64 y #s(literal 35999999999999999546140628003274747825007424446656423161177321230041088 binary64)) #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))))
(if (<=.f64 x #s(literal -160000000000000003576187577516297589361574548815580152967661382862404237763877497535619256189489609520162441133401999259246696719187968 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 919999999999999951721475182284721378232842634933885741634662853328453386579474209304790816182128562148998544763194603216901097398199900445211366961171339652876380143616 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 y #s(literal -6500000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y))) (if (<=.f64 y #s(literal 35999999999999999546140628003274747825007424446656423161177321230041088 binary64)) #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) #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 y #s(literal -22000000000000000 binary64)) (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (if (<=.f64 y #s(literal 39999999999999999309471031356742393268959131502323729114308588601344 binary64)) #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))))))
(if (<=.f64 y #s(literal -27000000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) (if (<=.f64 y #s(literal 39999999999999999309471031356742393268959131502323729114308588601344 binary64)) #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))))))
(if (<=.f64 y #s(literal -27000000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z)) (if (<=.f64 y #s(literal 35999999999999999546140628003274747825007424446656423161177321230041088 binary64)) #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))))
(if (or (<=.f64 y #s(literal -27000000000000000 binary64)) (not (<=.f64 y #s(literal 35999999999999999546140628003274747825007424446656423161177321230041088 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 -160000000000000003576187577516297589361574548815580152967661382862404237763877497535619256189489609520162441133401999259246696719187968 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 919999999999999951721475182284721378232842634933885741634662853328453386579474209304790816182128562148998544763194603216901097398199900445211366961171339652876380143616 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 (or (<=.f64 x #s(literal -160000000000000003576187577516297589361574548815580152967661382862404237763877497535619256189489609520162441133401999259246696719187968 binary64)) (not (<=.f64 x #s(literal 919999999999999951721475182284721378232842634933885741634662853328453386579474209304790816182128562148998544763194603216901097398199900445211366961171339652876380143616 binary64)))) #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)))
(if (<=.f64 y #s(literal -6500000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) #s(approx (+ (* (+ y x) 2) x) (+.f64 y y))) (if (<=.f64 y #s(literal 35999999999999999546140628003274747825007424446656423161177321230041088 binary64)) #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)))))
(if (or (<=.f64 y #s(literal -6500000000000000 binary64)) (not (<=.f64 y #s(literal 35999999999999999546140628003274747825007424446656423161177321230041088 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 (19%)

Memory
-2.1MiB live, 507.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149294
1462294
21209294
33683294
47310294
08379245
0113222
1343220
2900220
32808220
46855220
08165188
021103
025103
113697
2153797
0951190
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 488 to 233 computations (52.3% saved)

preprocess59.0ms (1.1%)

Memory
18.9MiB live, 103.2MiB allocated
Compiler

Compiled 626 to 126 computations (79.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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