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

Time bar (total: 4.6s)

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 11 to 10 computations (9.1% saved)

sample1.1s (23.7%)

Memory
29.7MiB live, 846.4MiB allocated
Samples
781.0ms8 255×0valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 330.0ms
ival-mult: 152.0ms (46% of total)
ival-div: 96.0ms (29.1% of total)
ival-add: 68.0ms (20.6% of total)
ival-true: 6.0ms (1.8% of total)
exact: 5.0ms (1.5% of total)
ival-assert: 3.0ms (0.9% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain83.0ms (1.8%)

Memory
9.1MiB live, 175.8MiB allocated
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
30.0ms510×0valid
0.0ms2valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 5.0ms (37% of total)
ival-add: 4.0ms (29.6% of total)
ival-div: 3.0ms (22.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess21.0ms (0.5%)

Memory
-3.0MiB live, 35.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03288
18884
221584
331784
439284
546984
648384
089
0129
1229
2429
3629
4799
5819
6899
7949
0948
Stop Event
iter limit
saturated
iter limit
saturated
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)
(+.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
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)

simplify5.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(/.f64 x #s(literal 2 binary64))
cost-diff0
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
cost-diff1
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
01226
12226
24226
36226
47926
58126
68926
79426
09424
Stop Event
iter limit
saturated
iter limit
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
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64))))
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 y x (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 y x)
y
z

localize167.0ms (3.6%)

Memory
-20.3MiB live, 32.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 x #s(literal 2 binary64))
accuracy0.0
(*.f64 y x)
accuracy0.0078125
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
accuracy0.01171875
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Samples
162.0ms255×0valid
0.0ms2valid
Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 4.0ms (53.9% of total)
ival-div: 2.0ms (26.9% of total)
ival-mult: 2.0ms (26.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated
Counts
4 → 17
Calls
Call 1
Inputs
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(/.f64 x #s(literal 2 binary64))
(*.f64 y x)
Outputs
(* x (+ 1/2 y))
z
(+ z (* x (+ 1/2 y)))
(* 1/2 x)
(* x y)
(* x (+ 1/2 (+ y (/ z x))))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(+ (* 1/2 x) (* x y))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
Calls

9 calls:

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

simplify118.0ms (2.5%)

Memory
-6.3MiB live, 108.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05793
119493
260693
3229893
4535093
0850784
Stop Event
iter limit
node limit
Counts
17 → 16
Calls
Call 1
Inputs
(* x (+ 1/2 y))
z
(+ z (* x (+ 1/2 y)))
(* 1/2 x)
(* x y)
(* x (+ 1/2 (+ y (/ z x))))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(+ (* 1/2 x) (* x y))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
Outputs
(* x (+ 1/2 y))
(*.f64 (+.f64 #s(literal 1/2 binary64) y) x)
z
(+ z (* x (+ 1/2 y)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x y)
(*.f64 y x)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 (+.f64 #s(literal 1/2 binary64) y) x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(+ (* 1/2 x) (* x y))
(*.f64 (+.f64 #s(literal 1/2 binary64) y) x)
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(* y (+ x (* 1/2 (/ x y))))
(*.f64 (+.f64 #s(literal 1/2 binary64) y) x)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) y) x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)

rewrite229.0ms (4.9%)

Memory
16.8MiB live, 288.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
01222
15122
240622
3656822
0820020
Stop Event
iter limit
node limit
iter limit
Counts
4 → 158
Calls
Call 1
Inputs
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(/.f64 x #s(literal 2 binary64))
(*.f64 y x)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) y) x (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x (/.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64)))) (-.f64 (*.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64)))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))))) (+.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y x) (/.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
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(fma.f64 (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z) #s(literal 3 binary64)) (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z) (-.f64 (*.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z) (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) y) x (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) z)
(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)
(fma.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))))) z)
(fma.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64)))) (-.f64 (*.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64)))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) z)
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z)) (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z) #s(literal 3 binary64)) (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z) (-.f64 (*.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z) (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 4 binary64))) (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) z))
(fma.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) (/.f64 (neg.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)))
(fma.f64 (fabs.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) (/.f64 (fabs.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)))
(fma.f64 (*.f64 z z) (/.f64 z (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) z)
(fma.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) z))
(fma.f64 z (/.f64 (*.f64 z z) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)))
(fma.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))) z)
(fma.f64 y x (+.f64 z (/.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) z))
(fma.f64 x y (+.f64 z (/.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 z (/.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64))))) (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 y x z))) (/.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64)) (-.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 y x z))))
(-.f64 (+.f64 z (/.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 y) x))
(-.f64 (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)) (*.f64 z (/.f64 z (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))))) (-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))) z))
(-.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) x) z))
(+.f64 (+.f64 z (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x z) (-.f64 (fma.f64 y x z) (/.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y x z) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x z) (-.f64 (fma.f64 y x z) (/.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (+.f64 z (/.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 x) (neg.f64 y)))
(+.f64 (+.f64 z (/.f64 x #s(literal 2 binary64))) (*.f64 y x))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) z))
(+.f64 (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)))
(+.f64 (fma.f64 y x z) (/.f64 x #s(literal 2 binary64)))
(+.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64))))
(+.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)
(+.f64 (*.f64 y x) (+.f64 z (/.f64 x #s(literal 2 binary64))))
(+.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 y x z))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 x #s(literal 2 binary64))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(*.f64 y x)
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 y) x))

eval156.0ms (3.4%)

Memory
-6.3MiB live, 32.2MiB allocated
Compiler

Compiled 6 613 to 573 computations (91.3% saved)

prune3.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1612163
Fresh000
Picked101
Done000
Total1622164
Accuracy
100.0%
Counts
164 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
63.9%
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify9.0ms (0.2%)

Memory
12.9MiB live, 12.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1/2 binary64) y)
cost-diff0
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
cost-diff0
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) x z)
cost-diff0
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01450
01950
13450
26750
311550
417850
519850
623050
726550
828050
028048
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#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(literal 1/2 binary64)
x
z
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
(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
Outputs
#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(literal 1/2 binary64)
x
z
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
(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

localize32.0ms (0.7%)

Memory
-8.2MiB live, 37.4MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 #s(literal 1/2 binary64) y)
accuracy0.0
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
accuracy0.00390625
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
accuracy0.0
(fma.f64 #s(literal 1/2 binary64) x z)
accuracy23.128150483247055
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
Samples
24.0ms255×0valid
0.0ms2valid
Compiler

Compiled 42 to 16 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 6.0ms (46.7% of total)
ival-mult: 4.0ms (31.1% of total)
ival-div: 2.0ms (15.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.4%)

Memory
-30.8MiB live, 6.0MiB allocated
Counts
5 → 26
Calls
Call 1
Inputs
#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) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(+.f64 #s(literal 1/2 binary64) y)
Outputs
z
(+ z (* x (+ 1/2 y)))
(+ z (* 1/2 x))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* 1/2 x)
(* x (+ 1/2 (/ z x)))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(+ z (+ (* 1/2 x) (* x y)))
1/2
(+ 1/2 y)
(* x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(+ (* 1/2 x) (* x y))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (* 1/2 (/ x z))))
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
Calls

9 calls:

TimeVariablePointExpression
16.0ms
y
@-inf
((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (+ (* (+ 1/2 y) x) z) (+ 1/2 y))
1.0ms
x
@-inf
((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (+ (* (+ 1/2 y) x) z) (+ 1/2 y))
1.0ms
z
@inf
((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (+ (* (+ 1/2 y) x) z) (+ 1/2 y))
0.0ms
y
@inf
((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (+ (* (+ 1/2 y) x) z) (+ 1/2 y))
0.0ms
z
@-inf
((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (+ (* (+ 1/2 y) x) z) (+ 1/2 y))

simplify94.0ms (2%)

Memory
18.7MiB live, 89.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077149
1262147
2765147
32831147
46148147
08243134
Stop Event
iter limit
node limit
Counts
26 → 24
Calls
Call 1
Inputs
z
(+ z (* x (+ 1/2 y)))
(+ z (* 1/2 x))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* 1/2 x)
(* x (+ 1/2 (/ z x)))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(+ z (+ (* 1/2 x) (* x y)))
1/2
(+ 1/2 y)
(* x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(+ (* 1/2 x) (* x y))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (* 1/2 (/ x z))))
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
Outputs
z
(+ z (* x (+ 1/2 y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ z x)))
(fma.f64 #s(literal 1/2 binary64) x z)
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x z)
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
1/2
#s(literal 1/2 binary64)
(+ 1/2 y)
(-.f64 y #s(literal -1/2 binary64))
(* x y)
(*.f64 y x)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(-.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ (* 1/2 x) (* x y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* z (+ 1 (* 1/2 (/ x z))))
(fma.f64 #s(literal 1/2 binary64) x z)
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) x) #s(literal 1 binary64)))
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(*.f64 (neg.f64 z) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) x) #s(literal 1 binary64)))

rewrite313.0ms (6.7%)

Memory
-13.7MiB live, 232.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01443
01943
19743
276443
0827741
Stop Event
iter limit
node limit
iter limit
Counts
5 → 96
Calls
Call 1
Inputs
#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) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(+.f64 #s(literal 1/2 binary64) y)
Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z))) (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z))))
(/.f64 (-.f64 (*.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 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))) (/.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 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))))) (-.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 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (fma.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) 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 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (+.f64 (pow.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 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 3 binary64))) (fma.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 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))) (/.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 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))) (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))))) (*.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 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))))))))
(/.f64 (neg.f64 (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (neg.f64 z))))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))
(/.f64 (fma.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 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (neg.f64 z)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (neg.f64 z))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (neg.f64 z)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (neg.f64 z))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))))))
(fma.f64 #s(literal 1/2 binary64) x z)
(fma.f64 x #s(literal 1/2 binary64) z)
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))
(-.f64 z (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 z z (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 z z (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))) (/.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 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))))
(+.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 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) z)
(+.f64 z (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
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(neg.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 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 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) y)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) y)))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/8 binary64) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 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 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 #s(literal 1/2 binary64) y)
(+.f64 y #s(literal 1/2 binary64))

eval12.0ms (0.3%)

Memory
18.7MiB live, 18.7MiB allocated
Compiler

Compiled 4 182 to 475 computations (88.6% saved)

prune3.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1043107
Fresh000
Picked022
Done000
Total1045109
Accuracy
100.0%
Counts
109 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
63.9%
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
64.1%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
37.6%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
29.1%
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
Compiler

Compiled 77 to 60 computations (22.1% saved)

simplify7.0ms (0.2%)

Memory
6.4MiB live, 6.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y #s(literal -1/2 binary64))
cost-diff0
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
cost-diff0
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02077
02477
13777
26277
38877
411377
511977
613177
714177
814677
014672
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
(*.f64 y x)
y
x
#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 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
x
Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
(*.f64 y x)
y
x
#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 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
x

localize342.0ms (7.4%)

Memory
-5.5MiB live, 32.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 y #s(literal -1/2 binary64))
accuracy0.0
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
accuracy22.979133193679328
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
accuracy0.0
(*.f64 y x)
accuracy39.950142767753235
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) x)
accuracy23.128150483247055
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
accuracy30.824984991371892
#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))
Samples
334.0ms255×0valid
0.0ms2valid
Compiler

Compiled 55 to 16 computations (70.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (41.5% of total)
ival-add: 4.0ms (33.2% of total)
ival-div: 2.0ms (16.6% of total)
ival-sub: 1.0ms (8.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated
Counts
8 → 25
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
(*.f64 y x)
#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 y #s(literal -1/2 binary64))
Outputs
z
(+ z (* x (+ 1/2 y)))
(+ z (* 1/2 x))
(* 1/2 x)
(* x y)
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (/ z x)))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(+ z (+ (* 1/2 x) (* x y)))
(+ (* 1/2 x) (* x y))
1/2
(+ 1/2 y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (* 1/2 (/ x y))))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (* 1/2 (/ x z))))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (* 1/2 x) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2))
1.0ms
x
@inf
((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (* 1/2 x) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2))
1.0ms
x
@0
((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (* 1/2 x) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2))
1.0ms
y
@-inf
((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (* 1/2 x) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2))
0.0ms
y
@inf
((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (* 1/2 x) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2))

simplify478.0ms (10.3%)

Memory
-9.4MiB live, 68.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072136
1244136
2726135
32750135
46069135
08223125
Stop Event
iter limit
node limit
Counts
25 → 23
Calls
Call 1
Inputs
z
(+ z (* x (+ 1/2 y)))
(+ z (* 1/2 x))
(* 1/2 x)
(* x y)
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (/ z x)))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(+ z (+ (* 1/2 x) (* x y)))
(+ (* 1/2 x) (* x y))
1/2
(+ 1/2 y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (* 1/2 (/ x y))))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (* 1/2 (/ x z))))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
Outputs
z
(+ z (* x (+ 1/2 y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x y)
(*.f64 y x)
(* x (+ 1/2 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* x (+ 1/2 (/ z x)))
(fma.f64 #s(literal 1/2 binary64) x z)
(* -1 (* x (- (* -1 y) 1/2)))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) #s(literal 1/2 binary64)))
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(+ (* 1/2 x) (* x y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 y)
(-.f64 y #s(literal -1/2 binary64))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* y (+ x (* 1/2 (/ x y))))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(-.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* z (+ 1 (* 1/2 (/ x z))))
(fma.f64 #s(literal 1/2 binary64) x z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) x) #s(literal 1 binary64)))
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) #s(literal 1 binary64)))

rewrite349.0ms (7.5%)

Memory
25.2MiB live, 214.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02070
02470
19070
264070
0835065
Stop Event
iter limit
node limit
iter limit
Counts
8 → 54
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
(*.f64 y x)
#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 y #s(literal -1/2 binary64))
Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 y) x))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (-.f64 (*.f64 y y) #s(literal 1/4 binary64))) (-.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) x) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) (*.f64 y y)))))
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 y y) #s(literal 1/4 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))))
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 y y) #s(literal 1/4 binary64))) (-.f64 (*.f64 y y) #s(literal 1/4 binary64))) (-.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) (*.f64 y y)))))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64))) x) (+.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) x) (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))
(/.f64 (*.f64 x (neg.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (+.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64)) x)) (+.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) x)) (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (+.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (+.f64 #s(literal -1/2 binary64) y))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) x) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))
(/.f64 (*.f64 x (-.f64 (*.f64 y y) #s(literal 1/4 binary64))) (+.f64 #s(literal -1/2 binary64) y))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))))
(*.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64)) (-.f64 (*.f64 y y) #s(literal 1/4 binary64))) (-.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) y))) (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) y)))) (+.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) y))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))) (*.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) y)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) y)) (*.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 (neg.f64 y) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) y)) (*.f64 (+.f64 #s(literal -1/2 binary64) y) #s(literal 1/4 binary64))) (*.f64 (+.f64 #s(literal -1/2 binary64) y) (+.f64 #s(literal -1/2 binary64) y)))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (*.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))) #s(literal -1/8 binary64))) (*.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64))) (+.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64)) (+.f64 #s(literal -1/2 binary64) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64))) (+.f64 #s(literal -1/2 binary64) y)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))
(neg.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1/4 binary64)) (+.f64 (neg.f64 y) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))))
(-.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))
(-.f64 y #s(literal -1/2 binary64))

eval8.0ms (0.2%)

Memory
-24.4MiB live, 14.7MiB allocated
Compiler

Compiled 1 804 to 274 computations (84.8% saved)

prune5.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New64064
Fresh000
Picked033
Done022
Total64569
Accuracy
100.0%
Counts
69 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
63.9%
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
64.1%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
37.6%
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
29.1%
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
Compiler

Compiled 163 to 90 computations (44.8% saved)

regimes14.0ms (0.3%)

Memory
-11.5MiB live, 27.4MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
#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 (-.f64 y #s(literal -1/2 binary64)) x))
#s(approx (+ (+ (/ x 2) (* 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
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
Calls

5 calls:

3.0ms
z
2.0ms
x
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))
2.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
100.0%1(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes10.0ms (0.2%)

Memory
22.4MiB live, 22.4MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
#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 (-.f64 y #s(literal -1/2 binary64)) x))
Outputs
#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 #s(literal 1/2 binary64) x z))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
Calls

5 calls:

2.0ms
z
2.0ms
x
2.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
2.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
2.0ms
y
Results
AccuracySegmentsBranch
80.7%3x
87.9%3y
80.9%3z
78.7%3(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
87.9%3(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes24.0ms (0.5%)

Memory
-29.8MiB live, 21.3MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
#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))
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

2 calls:

21.0ms
y
2.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Results
AccuracySegmentsBranch
87.6%3y
78.9%3(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes7.0ms (0.2%)

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

5 calls:

1.0ms
x
1.0ms
z
1.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
1.0ms
y
1.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Results
AccuracySegmentsBranch
45.7%3(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
45.7%3(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
37.6%1x
40.8%3z
63.1%3y
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes9.0ms (0.2%)

Memory
-23.5MiB live, 13.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

4.0ms
z
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
1.0ms
y
Results
AccuracySegmentsBranch
29.1%1x
29.1%1z
29.1%1(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
29.1%1(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
29.1%1y
Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.603356435841495e+86
1.2906617182328555e+88
0.0ms
-1.3002285519869841e+134
-9.326324003442408e+130
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch30.0ms (0.6%)

Memory
4.5MiB live, 40.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
6.8380415339805175e+22
7.480544239371816e+33
9.0ms
-2438039065847.5747
-59770816692.62278
Samples
12.0ms272×0valid
Compiler

Compiled 471 to 405 computations (14% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (31.9% of total)
ival-add: 2.0ms (31.9% of total)
ival-mult: 2.0ms (31.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch19.0ms (0.4%)

Memory
29.2MiB live, 29.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
0.006575916914418273
7.934828167547554
7.0ms
-2438039065847.5747
-59770816692.62278
Samples
9.0ms208×0valid
Compiler

Compiled 492 to 419 computations (14.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 2.0ms (42% of total)
ival-div: 1.0ms (21% of total)
ival-mult: 1.0ms (21% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify59.0ms (1.3%)

Memory
-19.6MiB live, 58.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044162
167162
296162
3128162
4163162
5187162
6352162
72007162
83688162
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal -99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal 200000000000000002926139046134974606194008597572931011855722157433959272850229643182080 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 (-.f64 y #s(literal -1/2 binary64)) x))))
(if (<=.f64 y #s(literal -360000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 62000000000000004047596507103232 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 -60000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal -99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal 200000000000000002926139046134974606194008597572931011855722157433959272850229643182080 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 (-.f64 y #s(literal -1/2 binary64)) x))))
(if (or (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal -99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584 binary64)) (not (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal 200000000000000002926139046134974606194008597572931011855722157433959272850229643182080 binary64)))) #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 #s(literal 1/2 binary64) x z)))
(if (<=.f64 y #s(literal -360000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 62000000000000004047596507103232 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 -360000000000 binary64)) (not (<=.f64 y #s(literal 62000000000000004047596507103232 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 -60000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
(if (or (<=.f64 y #s(literal -60000000000 binary64)) (not (<=.f64 y #s(literal 1/2 binary64)))) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) #s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))

soundness870.0ms (18.8%)

Memory
-6.6MiB live, 313.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077149
1262147
2765147
32831147
46148147
08243134
05793
119493
260693
3229893
4535093
0850784
Stop Event
done
iter limit
node limit
iter limit
node limit
Compiler

Compiled 207 to 110 computations (46.9% saved)

preprocess32.0ms (0.7%)

Memory
17.3MiB live, 54.0MiB allocated
Compiler

Compiled 342 to 114 computations (66.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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