Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

Time bar (total: 2.6s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×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 11 to 10 computations (9.1% saved)

sample1.2s (47.4%)

Memory
1.7MiB live, 1 083.4MiB allocated; 893ms collecting garbage
Samples
947.0ms8 254×0valid
0.0ms1×2valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 337.0ms
ival-mult: 189.0ms (56% of total)
ival-add: 74.0ms (21.9% of total)
ival-div: 62.0ms (18.4% of total)
exact: 7.0ms (2.1% of total)
ival-assert: 3.0ms (0.9% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

explain89.0ms (3.4%)

Memory
-1.6MiB live, 188.7MiB allocated; 16ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(/.f64 x #s(literal 2 binary64))
00-0-z
00-0-(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
00-0-(*.f64 y x)
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
33.0ms512×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 5.0ms (38.5% of total)
ival-mult: 4.0ms (30.8% of total)
ival-div: 3.0ms (23.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess340.0ms (13%)

Memory
20.2MiB live, 277.3MiB allocated; 127ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03397
19293
222093
334193
448193
575890
6222190
7522590
089
0129
1229
2439
3699
41089
51969
68089
752659
081127
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
Outputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
Compiler

Compiled 9 to 8 computations (11.1% saved)

series8.0ms (0.3%)

Memory
19.5MiB live, 19.5MiB allocated; 0ms collecting garbage
Counts
8 → 26
Calls
Call 1
Inputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 y x)
y
z
Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y)))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y)))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x y)))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* y (+ x (* 1/2 (/ x y))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))))
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) x 2 (* y x) y z)
1.0ms
y
@-inf
((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) x 2 (* y x) y z)
1.0ms
x
@-inf
((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) x 2 (* y x) y z)
1.0ms
x
@0
((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) x 2 (* y x) y z)
1.0ms
y
@inf
((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) x 2 (* y x) y z)

rewrite167.0ms (6.4%)

Memory
-46.2MiB live, 152.1MiB allocated; 61ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092426
097398
1493350
04368327
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
34 → 109
Calls
Call 1
Inputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 y x)
y
z
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y)))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y)))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x y)))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* y (+ x (* 1/2 (/ x y))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))))
Outputs
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (fma.f64 y x z) (fma.f64 y x z))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y x z)))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x z) (fma.f64 #s(literal 1/2 binary64) x z)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 y x)))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 z z (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 y x z) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y x z)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x z) (fma.f64 #s(literal 1/2 binary64) x z) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z)))
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z) (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))) (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z) (*.f64 z z)))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) (fma.f64 y x z))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 y x z))
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y x z))
(fma.f64 x y (fma.f64 #s(literal 1/2 binary64) x z))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z)))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 (neg.f64 x) y))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (neg.f64 x) y) z))
(-.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y x)))
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 z (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z) (*.f64 z z))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z) (*.f64 z z))))
(+.f64 (fma.f64 y x z) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z)
(+.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 y x))
(+.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x z))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y x z))
(+.f64 z (*.f64 (neg.f64 (neg.f64 x)) (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (+.f64 #s(literal 1/2 binary64) y) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (neg.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (-.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) y))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) (*.f64 y x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y x))
(fma.f64 y x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y x))
(fma.f64 x y (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(-.f64 (*.f64 y x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) y))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (neg.f64 y)) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 x #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
x
#s(literal 2 binary64)
(*.f64 y x)
(*.f64 x y)
y
z
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
#s(approx (+ (/ x 2) (* y x)) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (* y x) (*.f64 y x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 (+.f64 (/.f64 z x) y) #s(literal 1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 x) (-.f64 (neg.f64 y) #s(literal 1/2 binary64))))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (+.f64 (/.f64 z x) y)) #s(literal 1/2 binary64))))
#s(approx (+ (/ x 2) (* y x)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 y) #s(literal 1/2 binary64))))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
#s(approx (+ (/ x 2) (* y x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (/ x 2) (* y x)) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
#s(approx y y)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x z) y) x) y))
#s(approx (+ (/ x 2) (* y x)) (*.f64 y x))
#s(approx (+ (/ x 2) (* y x)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) x) y))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x z) y) x)) (neg.f64 y)))
#s(approx (+ (/ x 2) (* y x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 x)) (neg.f64 y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
#s(approx z z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 x z) #s(literal 1 binary64)) z))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z) #s(literal -1 binary64) #s(literal -1 binary64))))

eval11.0ms (0.4%)

Memory
20.5MiB live, 20.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 667 to 321 computations (80.7% saved)

prune5.0ms (0.2%)

Memory
9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1026108
Fresh000
Picked101
Done000
Total1036109
Accuracy
100.0%
Counts
109 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
73.3%
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
▶64.9%
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
▶61.9%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
▶36.6%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
▶38.5%
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
Compiler

Compiled 144 to 116 computations (19.4% saved)

series9.0ms (0.3%)

Memory
-30.4MiB live, 16.0MiB allocated; 2ms collecting garbage
Counts
13 → 47
Calls
Call 1
Inputs
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(+.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
z
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
(*.f64 y x)
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 #s(literal 1/2 binary64) x z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (+.f64 #s(literal 1/2 binary64) y) x)
Outputs
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 z))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (+ z (* x (+ 1/2 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y)))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 z))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x))))))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* x (+ 1/2 (/ z x)))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ z x)) 1/2)))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y)))))
#s(approx (+ 1/2 y) #s(hole binary64 1/2))
#s(approx (+ 1/2 y) #s(hole binary64 (+ 1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y)))))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* x y)))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))))
#s(approx (+ 1/2 y) #s(hole binary64 y))
#s(approx (+ 1/2 y) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* x y)))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* y (+ x (* 1/2 (/ x y))))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* z (+ 1 (/ (* x (+ 1/2 y)) z)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* z (+ 1 (* 1/2 (/ x z))))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* -1 (* z (- (* -1/2 (/ x z)) 1)))))
Calls

9 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
((+ (* (+ 1/2 y) x) z) (+ 1/2 y) 1/2 y x z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x))
1.0ms
x
@-inf
((+ (* (+ 1/2 y) x) z) (+ 1/2 y) 1/2 y x z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x))
1.0ms
x
@inf
((+ (* (+ 1/2 y) x) z) (+ 1/2 y) 1/2 y x z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x))
1.0ms
x
@0
((+ (* (+ 1/2 y) x) z) (+ 1/2 y) 1/2 y x z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x))
1.0ms
y
@inf
((+ (* (+ 1/2 y) x) z) (+ 1/2 y) 1/2 y x z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x))

rewrite138.0ms (5.3%)

Memory
22.1MiB live, 164.2MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146748
0151682
1737631
05878624
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
60 → 160
Calls
Call 1
Inputs
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(+.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
z
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
(*.f64 y x)
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 #s(literal 1/2 binary64) x z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (+.f64 #s(literal 1/2 binary64) y) x)
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 z))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (+ z (* x (+ 1/2 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y)))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 z))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x))))))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* x (+ 1/2 (/ z x)))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ z x)) 1/2)))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y)))))
#s(approx (+ 1/2 y) #s(hole binary64 1/2))
#s(approx (+ 1/2 y) #s(hole binary64 (+ 1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y)))))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* x y)))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))))
#s(approx (+ 1/2 y) #s(hole binary64 y))
#s(approx (+ 1/2 y) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* x y)))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* y (+ x (* 1/2 (/ x y))))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* z (+ 1 (/ (* x (+ 1/2 y)) z)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* z (+ 1 (* 1/2 (/ x z))))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* -1 (* z (- (* -1/2 (/ x z)) 1)))))
Outputs
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 x y z) (fma.f64 x y z))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x y z)))
(/.f64 (-.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 x #s(literal 1/2 binary64) z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (fma.f64 x #s(literal 1/2 binary64) z) (*.f64 x y)))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64))) (fma.f64 z z (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 z (*.f64 (-.f64 #s(literal -1/2 binary64) y) x)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x y z)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 x #s(literal 1/2 binary64) z) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) z) (*.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) (-.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z) (*.f64 z z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64))) (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) (-.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z) (*.f64 z z)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) (fma.f64 x y z))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (fma.f64 x y z))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z)
(fma.f64 x y (fma.f64 x #s(literal 1/2 binary64) z))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 x y z))
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x) (fma.f64 x y z))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 x y z))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))) (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z)))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) z) (*.f64 (neg.f64 x) y))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) y) z))
(-.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x y)))
(-.f64 z (*.f64 (-.f64 #s(literal -1/2 binary64) y) x))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) (-.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z) (*.f64 z z))) (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) (-.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z) (*.f64 z z))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 z (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) z) (*.f64 x y))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x y z))
(+.f64 (*.f64 x y) (fma.f64 x #s(literal 1/2 binary64) z))
(+.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z)
(+.f64 z (*.f64 (neg.f64 (neg.f64 x)) (-.f64 y #s(literal -1/2 binary64))))
(+.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 y #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) y))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)))
(-.f64 y #s(literal -1/2 binary64))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(+.f64 y #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
z
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
(*.f64 x y)
(*.f64 y x)
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 z z (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 z (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 z) z))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) z)))
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) z) (*.f64 z z))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 z) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) z))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 z (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) z) (*.f64 z z)))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) z)
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) z)
(fma.f64 x #s(literal 1/2 binary64) z)
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x) z)
(fma.f64 #s(literal 1/2 binary64) x z)
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 1/2 binary64)) z)))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 z (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 z (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 z (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 x #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 x #s(literal 1/2 binary64)))))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) z) (*.f64 z z))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) z) (*.f64 z z))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
(+.f64 z (*.f64 x #s(literal 1/2 binary64)))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (-.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) y))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) (*.f64 x y))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 x y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x y))
(fma.f64 y x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x) (*.f64 x y))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x y))
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) y))
(-.f64 (*.f64 x y) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 x y) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) y))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z))
#s(approx x x)
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z))
#s(approx (* y x) (*.f64 x y))
#s(approx (+ (* 1/2 x) z) z)
#s(approx (+ (* 1/2 x) z) (fma.f64 x #s(literal 1/2 binary64) z))
#s(approx (* (+ 1/2 y) x) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 (+.f64 (/.f64 z x) y) #s(literal -1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 (+.f64 (/.f64 z x) y) #s(literal -1/2 binary64)) x))
#s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 x) z) (*.f64 (-.f64 (/.f64 z x) #s(literal -1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 x) (-.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 z x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 x) (-.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 z x))))
#s(approx (+ (* 1/2 x) z) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal -1/2 binary64))))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z))
#s(approx (+ 1/2 y) #s(literal 1/2 binary64))
#s(approx (+ 1/2 y) (-.f64 y #s(literal -1/2 binary64)))
#s(approx y y)
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z))
#s(approx (* (+ 1/2 y) x) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (* (+ 1/2 y) x) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) z) y) x) y))
#s(approx (+ 1/2 y) y)
#s(approx (+ 1/2 y) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y y))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) z) y) x) y))
#s(approx (* (+ 1/2 y) x) (*.f64 x y))
#s(approx (* (+ 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) x) y))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) z) y) x)) (neg.f64 y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) z) y) x)) (neg.f64 y)))
#s(approx (* (+ 1/2 y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 x)) (neg.f64 y)))
#s(approx z z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z) z z))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z) z z))
#s(approx (+ (* 1/2 x) z) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) #s(literal 1 binary64)) z))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 (-.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 (-.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))))
#s(approx (+ (* 1/2 x) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) #s(literal -1 binary64))))

eval19.0ms (0.7%)

Memory
-16.6MiB live, 29.2MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 260 to 464 computations (85.8% saved)

prune6.0ms (0.2%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1702172
Fresh101
Picked055
Done000
Total1717178
Accuracy
100.0%
Counts
178 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
▶73.3%
(fma.f64 #s(approx (+ 1/2 y) y) x z)
✓64.9%
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓61.9%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
▶28.1%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x))
✓36.6%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
✓38.5%
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
Compiler

Compiled 84 to 69 computations (17.9% saved)

series5.0ms (0.2%)

Memory
7.9MiB live, 7.8MiB allocated; 0ms collecting garbage
Counts
9 → 39
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x)
#s(approx (+ 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(fma.f64 #s(approx (+ 1/2 y) y) x z)
#s(approx (+ 1/2 y) y)
y
z
Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y)))))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 z))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (+ z (* x (+ 1/2 y)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x))))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y)))))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx (+ 1/2 y) #s(hole binary64 1/2))
#s(approx (+ 1/2 y) #s(hole binary64 (+ 1/2 y)))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* x y)))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* y (+ x (* 1/2 (/ x y))))))
#s(approx (+ 1/2 y) #s(hole binary64 y))
#s(approx (+ 1/2 y) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y))))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* x y)))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* z (+ 1 (/ (* x (+ 1/2 y)) z)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x) (+ 1/2 y) 1/2 x (+ (* (+ 1/2 y) x) z) (+ 1/2 y) y z)
1.0ms
y
@-inf
((+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x) (+ 1/2 y) 1/2 x (+ (* (+ 1/2 y) x) z) (+ 1/2 y) y z)
1.0ms
x
@inf
((+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x) (+ 1/2 y) 1/2 x (+ (* (+ 1/2 y) x) z) (+ 1/2 y) y z)
1.0ms
y
@inf
((+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x) (+ 1/2 y) 1/2 x (+ (* (+ 1/2 y) x) z) (+ 1/2 y) y z)
0.0ms
z
@-inf
((+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x) (+ 1/2 y) 1/2 x (+ (* (+ 1/2 y) x) z) (+ 1/2 y) y z)

rewrite126.0ms (4.8%)

Memory
22.3MiB live, 116.7MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0121639
0124623
1654560
05288518
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
48 → 62
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x)
#s(approx (+ 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(fma.f64 #s(approx (+ 1/2 y) y) x z)
#s(approx (+ 1/2 y) y)
y
z
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y)))))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 z))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (+ z (* x (+ 1/2 y)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x))))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y)))))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx (+ 1/2 y) #s(hole binary64 1/2))
#s(approx (+ 1/2 y) #s(hole binary64 (+ 1/2 y)))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* x y)))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* y (+ x (* 1/2 (/ x y))))))
#s(approx (+ 1/2 y) #s(hole binary64 y))
#s(approx (+ 1/2 y) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y))))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* x y)))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))))
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* z (+ 1 (/ (* x (+ 1/2 y)) z)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))))
#s(approx (+ (* (+ 1/2 y) x) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))))
Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x)
(*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 #s(approx (+ 1/2 y) y) x) #s(literal 2 binary64))) (-.f64 z (*.f64 #s(approx (+ 1/2 y) y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ 1/2 y) y) x) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 #s(approx (+ 1/2 y) y) x) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ 1/2 y) y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 #s(approx (+ 1/2 y) y) x)) (pow.f64 (*.f64 #s(approx (+ 1/2 y) y) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ 1/2 y) y) x) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (*.f64 #s(approx (+ 1/2 y) y) x) z))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ 1/2 y) y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 #s(approx (+ 1/2 y) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ 1/2 y) y) x) z))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ 1/2 y) y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 #s(approx (+ 1/2 y) y) x)) (pow.f64 (*.f64 #s(approx (+ 1/2 y) y) x) #s(literal 2 binary64))))
(fma.f64 #s(approx (+ 1/2 y) y) x z)
(fma.f64 x #s(approx (+ 1/2 y) y) z)
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ 1/2 y) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ 1/2 y) y) x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(approx (+ 1/2 y) y) x) z)))
(-.f64 z (*.f64 (neg.f64 #s(approx (+ 1/2 y) y)) x))
(-.f64 z (*.f64 (neg.f64 x) #s(approx (+ 1/2 y) y)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ 1/2 y) y) x) #s(literal 3 binary64)) (fma.f64 z (-.f64 z (*.f64 #s(approx (+ 1/2 y) y) x)) (pow.f64 (*.f64 #s(approx (+ 1/2 y) y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z (*.f64 #s(approx (+ 1/2 y) y) x)) (pow.f64 (*.f64 #s(approx (+ 1/2 y) y) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(approx (+ 1/2 y) y) x) z)
(+.f64 z (*.f64 #s(approx (+ 1/2 y) y) x))
#s(approx (+ 1/2 y) y)
y
z
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z))
#s(approx (* (+ 1/2 y) x) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
#s(approx x x)
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 (+.f64 (/.f64 z x) y) #s(literal -1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 (+.f64 (/.f64 z x) y) #s(literal -1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 x) (-.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 z x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 x) (-.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 z x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z))
#s(approx (* (+ 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ 1/2 y) x) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
#s(approx (+ 1/2 y) #s(literal 1/2 binary64))
#s(approx (+ 1/2 y) (-.f64 y #s(literal -1/2 binary64)))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z))
#s(approx y y)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x z) y) x) y))
#s(approx (* (+ 1/2 y) x) (*.f64 y x))
#s(approx (* (+ 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) x) y))
#s(approx (+ 1/2 y) y)
#s(approx (+ 1/2 y) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y y))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x z) y) x) y))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x z) y) x)) (neg.f64 y)))
#s(approx (* (+ 1/2 y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 x)) (neg.f64 y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x z) y) x)) (neg.f64 y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
#s(approx z z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (/.f64 x z) #s(literal 1 binary64)) z))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (/.f64 x z) #s(literal 1 binary64)) z))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 (-.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 (-.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))))

eval6.0ms (0.2%)

Memory
-36.2MiB live, 9.8MiB allocated; 3ms collecting garbage
Compiler

Compiled 860 to 134 computations (84.4% saved)

prune5.0ms (0.2%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New47047
Fresh000
Picked022
Done055
Total47754
Accuracy
100.0%
Counts
54 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
✓73.3%
(fma.f64 #s(approx (+ 1/2 y) y) x z)
✓64.9%
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓61.9%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
✓28.1%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x))
✓36.6%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
✓38.5%
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
Compiler

Compiled 190 to 100 computations (47.4% saved)

regimes16.0ms (0.6%)

Memory
21.4MiB live, 21.4MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 #s(approx (+ 1/2 y) y) x z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
Outputs
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
Calls

5 calls:

3.0ms
z
3.0ms
x
3.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
3.0ms
y
3.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Results
AccuracySegmentsBranch
100.0%1(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
100.0%1(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
100.0%1x
100.0%1y
100.0%1z
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes52.0ms (2%)

Memory
-23.2MiB live, 23.3MiB allocated; 3ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 #s(approx (+ 1/2 y) y) x z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
Outputs
(fma.f64 #s(approx (+ 1/2 y) y) x z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 #s(approx (+ 1/2 y) y) x z)
Calls

5 calls:

41.0ms
x
3.0ms
z
3.0ms
y
2.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
2.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Results
AccuracySegmentsBranch
88.9%4(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
79.8%3(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
88.2%3x
99.1%3y
89.8%3z
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes6.0ms (0.2%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
Calls

3 calls:

2.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
67.1%2x
64.9%1z
87.4%3y
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes8.0ms (0.3%)

Memory
13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Counts
3 → 5
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x))
Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
Calls

5 calls:

2.0ms
z
2.0ms
y
1.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
1.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
1.0ms
x
Results
AccuracySegmentsBranch
59.3%3z
55.3%3x
50.1%5(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
63.5%4(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
69.0%5y
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes3.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
Calls

2 calls:

1.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
1.0ms
y
Results
AccuracySegmentsBranch
59.3%3(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
61.4%3y
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes52.0ms (2%)

Memory
-35.8MiB live, 12.7MiB allocated; 61ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
Calls

5 calls:

48.0ms
z
1.0ms
x
1.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
1.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
1.0ms
y
Results
AccuracySegmentsBranch
38.5%1(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
38.5%1x
38.5%1z
38.5%1(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
38.5%1y
Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch32.0ms (1.2%)

Memory
32.3MiB live, 32.3MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
8.57007456312831e-28
4.654794943436747e-12
15.0ms
-2.796925062095461e+23
-0.02047570985841636
Samples
16.0ms336×0valid
Compiler

Compiled 474 to 434 computations (8.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 3.0ms (37.6% of total)
ival-div: 2.0ms (25.1% of total)
ival-mult: 2.0ms (25.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch32.0ms (1.2%)

Memory
-15.6MiB live, 32.8MiB allocated; 6ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
5.802672385171329e+29
1.2755696493296245e+43
16.0ms
-1.4202714405312133e+68
-7.521252063464455e+63
Samples
18.0ms288×0valid
Compiler

Compiled 498 to 428 computations (14.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (28.9% of total)
ival-add: 2.0ms (28.9% of total)
ival-mult: 2.0ms (28.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch38.0ms (1.5%)

Memory
-18.6MiB live, 25.6MiB allocated; 9ms collecting garbage
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.802672385171329e+29
1.2755696493296245e+43
12.0ms
7.557246143262606e-238
1.1551356322470863e-232
5.0ms
-1.856329879181436e-64
-1.1573254273702451e-64
1.0ms
-1.4202714405312133e+68
-7.521252063464455e+63
Samples
10.0ms208×0valid
Compiler

Compiled 808 to 717 computations (11.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 2.0ms (40.7% of total)
ival-div: 1.0ms (20.3% of total)
ival-mult: 1.0ms (20.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.802672385171329e+29
1.2755696493296245e+43
1.0ms
-1.4202714405312133e+68
-7.521252063464455e+63
Compiler

Compiled 444 to 392 computations (11.7% saved)

simplify50.0ms (1.9%)

Memory
0.5MiB live, 46.3MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043198
161198
282198
3109198
4160198
5490198
63645198
Stop Event
1×node limit
Calls
Call 1
Inputs
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(if (<=.f64 y #s(literal -1/2 binary64)) (fma.f64 #s(approx (+ 1/2 y) y) x z) (if (<=.f64 y #s(literal 5570730176784211/1237940039285380274899124224 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 #s(approx (+ 1/2 y) y) x z)))
(if (<=.f64 y #s(literal -11000000000000000088374445370908073774945353312319312448924418048 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 129999999999999995184506177344986152960 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
(if (<=.f64 y #s(literal -11000000000000000088374445370908073774945353312319312448924418048 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal -3853560729817883/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) z) (if (<=.f64 y #s(literal 3221876690828433/1789931494904685075276173995854677405670108698260665783090090606394441500334556509959080266614039273464334969326187482504649803797317086043777814127597786226282054644248700756391675078842436173515315000514484077967245659600421098975959924194154643456 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x)) (if (<=.f64 y #s(literal 129999999999999995184506177344986152960 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) z) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))))
(if (<=.f64 y #s(literal -11000000000000000088374445370908073774945353312319312448924418048 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 129999999999999995184506177344986152960 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) z) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
Outputs
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(if (<=.f64 y #s(literal -1/2 binary64)) (fma.f64 #s(approx (+ 1/2 y) y) x z) (if (<=.f64 y #s(literal 5570730176784211/1237940039285380274899124224 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 #s(approx (+ 1/2 y) y) x z)))
(if (or (<=.f64 y #s(literal -1/2 binary64)) (not (<=.f64 y #s(literal 5570730176784211/1237940039285380274899124224 binary64)))) (fma.f64 #s(approx (+ 1/2 y) y) x z) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)))
(if (<=.f64 y #s(literal -11000000000000000088374445370908073774945353312319312448924418048 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 129999999999999995184506177344986152960 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
(if (or (<=.f64 y #s(literal -11000000000000000088374445370908073774945353312319312448924418048 binary64)) (not (<=.f64 y #s(literal 129999999999999995184506177344986152960 binary64)))) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)))
(if (<=.f64 y #s(literal -11000000000000000088374445370908073774945353312319312448924418048 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal -3853560729817883/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) z) (if (<=.f64 y #s(literal 3221876690828433/1789931494904685075276173995854677405670108698260665783090090606394441500334556509959080266614039273464334969326187482504649803797317086043777814127597786226282054644248700756391675078842436173515315000514484077967245659600421098975959924194154643456 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x)) (if (<=.f64 y #s(literal 129999999999999995184506177344986152960 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) z) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))))
(if (<=.f64 y #s(literal -11000000000000000088374445370908073774945353312319312448924418048 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 129999999999999995184506177344986152960 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) z) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
(if (or (<=.f64 y #s(literal -11000000000000000088374445370908073774945353312319312448924418048 binary64)) (not (<=.f64 y #s(literal 129999999999999995184506177344986152960 binary64)))) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) #s(approx (+ (+ (/ x 2) (* y x)) z) z))
#s(approx (+ (+ (/ x 2) (* y x)) z) z)

derivations120.0ms (4.6%)

Memory
7.7MiB live, 60.0MiB allocated; 5ms collecting garbage
Stop Event
1×done
Compiler

Compiled 198 to 46 computations (76.8% saved)

preprocess27.0ms (1%)

Memory
29.2MiB live, 29.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 414 to 108 computations (73.9% saved)

end0.0ms (0%)

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

Profiling

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