Diagrams.TwoD.Segment.Bernstein:evaluateBernstein from diagrams-lib-1.3.0.3

Time bar (total: 3.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze42.0ms (1.1%)

Memory
10.3MiB live, 39.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample724.0ms (18.5%)

Memory
3.8MiB live, 723.3MiB allocated
Samples
440.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 240.0ms
ival-sub: 62.0ms (25.8% of total)
ival-mult: 59.0ms (24.6% of total)
ival-div: 58.0ms (24.1% of total)
ival-add: 46.0ms (19.1% of total)
ival-true: 6.0ms (2.5% of total)
exact: 5.0ms (2.1% of total)
ival-assert: 4.0ms (1.7% of total)
Bogosity

explain71.0ms (1.8%)

Memory
-2.6MiB live, 66.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
260-0-(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
00-0-y
00-0-#s(literal 1 binary64)
00-0-(+.f64 (-.f64 y z) #s(literal 1 binary64))
00-0-(-.f64 y z)
00-0-z
00-0-(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)o/n260
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))overflow51
Confusion
Predicted +Predicted -
+260
-0230
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2600
-00230
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0230
126
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
27.0ms508×0valid
0.0ms2valid
0.0ms1valid
Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 5.0ms (34.6% of total)
ival-div: 3.0ms (20.8% of total)
ival-sub: 3.0ms (20.8% of total)
ival-add: 2.0ms (13.8% 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)

preprocess133.0ms (3.4%)

Memory
20.6MiB live, 48.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03492
111688
240388
3130682
4478681
089
0129
1269
2609
31179
42439
55679
612859
719689
832569
950149
1079139
086418
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Outputs
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
Symmetry

(negabs x)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.5%
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify86.0ms (2.2%)

Memory
-4.6MiB live, 53.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y z)
cost-diff0
(+.f64 (-.f64 y z) #s(literal 1 binary64))
cost-diff0
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
cost-diff1
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
01228
12628
26028
311728
424328
556728
6128528
7196828
8325628
9501428
10791328
0864126
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
x
(+.f64 (-.f64 y z) #s(literal 1 binary64))
(-.f64 y z)
y
z
#s(literal 1 binary64)
Outputs
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
(fma.f64 (-.f64 y z) x x)
x
(+.f64 (-.f64 y z) #s(literal 1 binary64))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(-.f64 y z)
y
z
#s(literal 1 binary64)

localize37.0ms (0.9%)

Memory
-3.6MiB live, 36.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 y z)
accuracy0.0078125
(+.f64 (-.f64 y z) #s(literal 1 binary64))
accuracy0.015625
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
accuracy6.089867247627282
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Samples
32.0ms254×0valid
0.0ms2valid
0.0ms1valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 5.0ms (52.9% of total)
ival-div: 2.0ms (21.2% of total)
ival-mult: 2.0ms (21.2% of total)
ival-add: 1.0ms (10.6% 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)

series8.0ms (0.2%)

Memory
6.6MiB live, 6.6MiB allocated
Counts
4 → 37
Calls
Call 1
Inputs
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(+.f64 (-.f64 y z) #s(literal 1 binary64))
(-.f64 y z)
Outputs
(* x (- (+ 1 y) z))
(/ (* x (- (+ 1 y) z)) z)
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(- 1 z)
(- (+ 1 y) z)
(* -1 z)
(- y z)
(* x y)
(* y (+ x (/ (* x (- 1 z)) y)))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (+ 1 (* -1 (/ z y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (/ z y) 1)))
(* x (+ 1 y))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ y (* -1 z))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (/ y z) 1))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
Calls

9 calls:

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

simplify95.0ms (2.4%)

Memory
4.6MiB live, 35.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082204
1279204
2992204
33479201
47720201
08174186
Stop Event
iter limit
node limit
Counts
37 → 36
Calls
Call 1
Inputs
(* x (- (+ 1 y) z))
(/ (* x (- (+ 1 y) z)) z)
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(- 1 z)
(- (+ 1 y) z)
(* -1 z)
(- y z)
(* x y)
(* y (+ x (/ (* x (- 1 z)) y)))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (+ 1 (* -1 (/ z y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (/ z y) 1)))
(* x (+ 1 y))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ y (* -1 z))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (/ y z) 1))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
Outputs
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(* x y)
(*.f64 y x)
(* y (+ x (/ (* x (- 1 z)) y)))
(fma.f64 (-.f64 y z) x x)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) y) #s(literal 1 binary64)))
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* x (+ 1 y))
(fma.f64 y x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(+ y (* -1 z))
(-.f64 y z)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)

rewrite186.0ms (4.8%)

Memory
9.4MiB live, 69.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01224
15524
240224
3529224
0811822
Stop Event
iter limit
node limit
iter limit
Counts
4 → 220
Calls
Call 1
Inputs
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(+.f64 (-.f64 y z) #s(literal 1 binary64))
(-.f64 y z)
Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) (-.f64 (pow.f64 (-.f64 y z) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 y z))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 (-.f64 y z) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (pow.f64 (-.f64 y z) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(*.f64 (neg.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (-.f64 y z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 y z) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64))))
(*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (-.f64 y z) x x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) (neg.f64 (neg.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) x)
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) x x))
(*.f64 x (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 y z))))
(*.f64 x (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 (*.f64 x (-.f64 (*.f64 y y) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (+.f64 z y) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (*.f64 y y)))
(/.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64))))
(/.f64 (*.f64 x (neg.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 y z) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (*.f64 (-.f64 y z) x) (neg.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x)) (neg.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64))) x) (-.f64 (+.f64 z y) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))) x) (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) x) (neg.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) x) (neg.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (-.f64 y z) #s(literal 1 binary64)))
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(/.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 z y) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 y z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (-.f64 (-.f64 y z) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 y z) #s(literal 3 binary64))) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 y z) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(neg.f64 (fma.f64 #s(literal -1 binary64) (-.f64 y z) #s(literal -1 binary64)))
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 z y) z)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z y) z) (-.f64 (*.f64 (+.f64 z y) z) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 y z))) (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 (-.f64 y z) #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (pow.f64 (-.f64 y z) #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (fma.f64 (neg.f64 z) z (*.f64 y y))) (-.f64 y z) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (-.f64 (pow.f64 (-.f64 y z) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 y z))) (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 (-.f64 y z) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (pow.f64 (-.f64 y z) #s(literal 4 binary64))) (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (+.f64 z y) (/.f64 (-.f64 y z) (+.f64 z y)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (pow.f64 (+.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (/.f64 (-.f64 y z) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 1 binary64))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (/.f64 (-.f64 y z) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 y z) #s(literal 1 binary64))
(fma.f64 (-.f64 y z) (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (-.f64 y z) #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (+.f64 z y)))) (*.f64 z (/.f64 z (+.f64 z y))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 (+.f64 z y) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 y z))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (*.f64 y y))) (/.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (*.f64 y y))))
(-.f64 (+.f64 #s(literal 1 binary64) y) z)
(-.f64 (*.f64 y (/.f64 y (+.f64 z y))) (-.f64 (*.f64 z (/.f64 z (+.f64 z y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 (-.f64 y z) #s(literal 1 binary64))) (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y z)))
(-.f64 y (-.f64 z #s(literal 1 binary64)))
(+.f64 (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(+.f64 (-.f64 y z) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (*.f64 y y)))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 z y) z)))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z y) z) (-.f64 (*.f64 (+.f64 z y) z) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (fma.f64 (neg.f64 z) z (*.f64 y y))) (-.f64 y z))
(*.f64 (+.f64 z y) (/.f64 (-.f64 y z) (+.f64 z y)))
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (pow.f64 (+.f64 z y) #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (/.f64 (-.f64 y z) (fma.f64 (+.f64 z y) z (*.f64 y y))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 y z))
(*.f64 (-.f64 y z) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 z y) (neg.f64 (-.f64 y z))) #s(literal 1 binary64)) (neg.f64 (+.f64 z y)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) (neg.f64 (-.f64 y z)))) (neg.f64 (+.f64 z y)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 z y))) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 z (+.f64 z y))) #s(literal 2 binary64))) (fma.f64 y (/.f64 y (+.f64 z y)) (*.f64 z (/.f64 z (+.f64 z y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 z y))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 z (+.f64 z y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 z y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (/.f64 z (+.f64 z y))) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 y (+.f64 z y))) (*.f64 z (/.f64 z (+.f64 z y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (neg.f64 (-.f64 y z)))) (neg.f64 (neg.f64 (+.f64 z y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 z y)) (*.f64 (+.f64 z y) (*.f64 z z))) (pow.f64 (+.f64 z y) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (fma.f64 z z (*.f64 y y)) (+.f64 z y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (+.f64 z y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 z y) z (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (+.f64 z y) z (*.f64 y y))))
(/.f64 (*.f64 (+.f64 z y) (neg.f64 (-.f64 y z))) (neg.f64 (+.f64 z y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))))
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (+.f64 z y))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (+.f64 z y) z (*.f64 y y)))
(neg.f64 (neg.f64 (-.f64 y z)))
(fma.f64 (/.f64 (*.f64 y y) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (*.f64 y y)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z y)))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (neg.f64 z) z (*.f64 y y))) (-.f64 y z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z y)))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) (+.f64 z y)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z y)))
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) (+.f64 z y)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z y)))
(fma.f64 y (/.f64 y (+.f64 z y)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z y)))
(-.f64 (*.f64 y (/.f64 y (+.f64 z y))) (*.f64 z (/.f64 z (+.f64 z y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))
(-.f64 y z)
(+.f64 (*.f64 y (/.f64 y (+.f64 z y))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z y)))

eval48.0ms (1.2%)

Memory
-33.6MiB live, 38.0MiB allocated
Compiler

Compiled 5 464 to 932 computations (82.9% saved)

prune6.0ms (0.2%)

Memory
14.2MiB live, 14.2MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2297236
Fresh000
Picked101
Done000
Total2307237
Accuracy
100.0%
Counts
237 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.5%
(/.f64 (fma.f64 (-.f64 y z) x x) z)
66.1%
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
39.7%
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
96.2%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z) x)
90.8%
(*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (-.f64 y z)))
65.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
33.4%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Compiler

Compiled 160 to 126 computations (21.3% saved)

simplify96.0ms (2.4%)

Memory
0.7MiB live, 58.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y x x)
cost-diff0
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
cost-diff0
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (* x (+ (- y z) 1)) (*.f64 y x))
cost-diff0
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
cost-diff0
(/.f64 x z)
cost-diff0
(-.f64 (/.f64 x z) x)
cost-diff0
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
cost-diff0
(-.f64 y z)
cost-diff0
(+.f64 #s(literal 1 binary64) (-.f64 y z))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z)
cost-diff1
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023131
034131
159131
2102131
3211131
4451131
5938131
61762128
72254128
83395128
96237128
107652128
08296124
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z) x)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z)
(+.f64 #s(literal 1 binary64) (-.f64 y z))
#s(literal 1 binary64)
(-.f64 y z)
y
z
x
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(neg.f64 x)
x
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 x z) x)
(/.f64 x z)
x
z
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
#s(approx (* x (+ (- y z) 1)) (*.f64 y x))
(*.f64 y x)
y
x
z
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
(fma.f64 y x x)
y
x
z
Outputs
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z) x)
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z)
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
#s(literal 1 binary64)
(-.f64 y z)
y
z
x
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(neg.f64 x)
x
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 x z) x)
(/.f64 x z)
x
z
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z)
#s(approx (* x (+ (- y z) 1)) (*.f64 y x))
#s(approx (* x (+ (- y z) 1)) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
z
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z)
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
#s(approx (* x (+ (- y z) 1)) (fma.f64 x y x))
(fma.f64 y x x)
(fma.f64 x y x)
y
x
z

localize51.0ms (1.3%)

Memory
-1.1MiB live, 40.1MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 y x x)
accuracy6.089867247627282
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
accuracy20.223690023339877
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
accuracy0.0
(*.f64 y x)
accuracy6.089867247627282
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
accuracy37.98582701650336
#s(approx (* x (+ (- y z) 1)) (*.f64 y x))
accuracy0.0
(/.f64 x z)
accuracy0.00390625
(-.f64 (/.f64 x z) x)
accuracy21.92138638640784
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
accuracy0.0
(neg.f64 x)
accuracy42.650931335287524
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
accuracy0.0
(-.f64 y z)
accuracy0.0078125
(+.f64 #s(literal 1 binary64) (-.f64 y z))
accuracy0.03125
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z)
accuracy2.4195184859169014
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z) x)
Samples
39.0ms254×0valid
0.0ms2valid
0.0ms1valid
Compiler

Compiled 107 to 18 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 5.0ms (29.4% of total)
ival-mult: 4.0ms (23.5% of total)
ival-add: 3.0ms (17.6% of total)
ival-sub: 3.0ms (17.6% of total)
ival-neg: 1.0ms (5.9% 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)

series14.0ms (0.4%)

Memory
-18.5MiB live, 12.5MiB allocated
Counts
15 → 55
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z) x)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z)
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(-.f64 y z)
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(neg.f64 x)
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 x z) x)
(/.f64 x z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
#s(approx (* x (+ (- y z) 1)) (*.f64 y x))
(*.f64 y x)
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
(fma.f64 y x x)
Outputs
(/ (* x (- (+ 1 y) z)) z)
(* -1 x)
(* x (- (/ 1 z) 1))
(/ x z)
(* x (- (+ 1 y) z))
(* x y)
(* x (+ 1 y))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- (* -1 y) 1)))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (- 1 z) z)
(- (+ (/ 1 z) (/ y z)) 1)
(- 1 z)
(- (+ 1 y) z)
(* -1 z)
(- y z)
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
x
(+ x (* x y))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ y z)
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ x y)))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ 1 y) z)
(/ (+ 1 (+ y (* -1 z))) z)
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ y (* -1 z))
(/ (+ x (* -1 (* x z))) z)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
-1
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (/ y z) 1))
(- (/ x z) x)
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
z
@inf
((* (/ (+ 1 (- y z)) z) x) (/ (+ 1 (- y z)) z) (+ 1 (- y z)) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x))
2.0ms
x
@inf
((* (/ (+ 1 (- y z)) z) x) (/ (+ 1 (- y z)) z) (+ 1 (- y z)) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x))
2.0ms
x
@-inf
((* (/ (+ 1 (- y z)) z) x) (/ (+ 1 (- y z)) z) (+ 1 (- y z)) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x))
1.0ms
x
@0
((* (/ (+ 1 (- y z)) z) x) (/ (+ 1 (- y z)) z) (+ 1 (- y z)) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x))
1.0ms
y
@-inf
((* (/ (+ 1 (- y z)) z) x) (/ (+ 1 (- y z)) z) (+ 1 (- y z)) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x))

simplify116.0ms (3%)

Memory
15.6MiB live, 45.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113306
1367306
21179296
33888294
08108275
Stop Event
iter limit
node limit
Counts
55 → 53
Calls
Call 1
Inputs
(/ (* x (- (+ 1 y) z)) z)
(* -1 x)
(* x (- (/ 1 z) 1))
(/ x z)
(* x (- (+ 1 y) z))
(* x y)
(* x (+ 1 y))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- (* -1 y) 1)))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (- 1 z) z)
(- (+ (/ 1 z) (/ y z)) 1)
(- 1 z)
(- (+ 1 y) z)
(* -1 z)
(- y z)
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
x
(+ x (* x y))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ y z)
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ x y)))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ 1 y) z)
(/ (+ 1 (+ y (* -1 z))) z)
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ y (* -1 z))
(/ (+ x (* -1 (* x z))) z)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
-1
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (/ y z) 1))
(- (/ x z) x)
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
Outputs
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(/ x z)
(/.f64 x z)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x y)
(*.f64 x y)
(* x (+ 1 y))
(fma.f64 x y x)
(* -1 (* x (- 1 (/ 1 z))))
(-.f64 (/.f64 x z) x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 x y x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (- 1 z) z)
(/.f64 (-.f64 #s(literal 1 binary64) z) z)
(- (+ (/ 1 z) (/ y z)) 1)
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
x
(+ x (* x y))
(fma.f64 x y x)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ y z)
(/.f64 y z)
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z)
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* y (+ x (/ (* x (- 1 z)) y)))
(fma.f64 (-.f64 y z) x x)
(* y (+ x (/ x y)))
(fma.f64 x y x)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 z y)) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 x y x)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 x y x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ 1 y) z)
(/.f64 (-.f64 y #s(literal -1 binary64)) z)
(/ (+ 1 (+ y (* -1 z))) z)
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(+ y (* -1 z))
(-.f64 y z)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
-1
#s(literal -1 binary64)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* z (- (/ y z) 1))
(-.f64 y z)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)

rewrite177.0ms (4.5%)

Memory
-0.3MiB live, 90.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023118
034118
1125118
2852118
08264111
Stop Event
iter limit
node limit
iter limit
Counts
15 → 314
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z) x)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z)
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(-.f64 y z)
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(neg.f64 x)
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 x z) x)
(/.f64 x z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
#s(approx (* x (+ (- y z) 1)) (*.f64 y x))
(*.f64 y x)
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
(fma.f64 y x x)
Outputs
(*.f64 x (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z))
(*.f64 (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z) x)
(*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) (/.f64 x z))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) x) (*.f64 (pow.f64 z #s(literal -1 binary64)) x)) (*.f64 (*.f64 (/.f64 (-.f64 y z) z) x) (*.f64 (/.f64 (-.f64 y z) z) x))) (-.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) x) (*.f64 (/.f64 (-.f64 y z) z) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))) (*.f64 x (pow.f64 z #s(literal -1 binary64)))) (*.f64 (*.f64 x (/.f64 (-.f64 y z) z)) (*.f64 x (/.f64 (-.f64 y z) z)))) (-.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))) (*.f64 x (/.f64 (-.f64 y z) z))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (-.f64 y z)) z) (/.f64 (*.f64 x (-.f64 y z)) z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 x (-.f64 y z)) z) (/.f64 x z)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) x) (*.f64 (pow.f64 z #s(literal -1 binary64)) x) (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 y z) z) x) (*.f64 (/.f64 (-.f64 y z) z) x)) (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) x) (*.f64 (/.f64 (-.f64 y z) z) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (-.f64 y z) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))) (*.f64 x (pow.f64 z #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 x (/.f64 (-.f64 y z) z)) (*.f64 x (/.f64 (-.f64 y z) z))) (*.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))) (*.f64 x (/.f64 (-.f64 y z) z))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x (-.f64 y z)) z) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (-.f64 y z)) z) (/.f64 (*.f64 x (-.f64 y z)) z) (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x (-.f64 y z)) z) (/.f64 x z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 z z)) (neg.f64 (neg.f64 x))) (*.f64 (+.f64 (+.f64 y #s(literal 1 binary64)) z) (neg.f64 (neg.f64 z))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 z z)) (neg.f64 x)) (*.f64 (+.f64 (+.f64 y #s(literal 1 binary64)) z) (neg.f64 z)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 z z)) x) (*.f64 (+.f64 (+.f64 y #s(literal 1 binary64)) z) z))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x y (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (neg.f64 x))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x y (neg.f64 x))) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x y (neg.f64 x)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 x) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 x y (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (neg.f64 x))) (*.f64 (fma.f64 x y (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 x y (neg.f64 x)) (fma.f64 x y (neg.f64 x))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 x (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 x y (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 x y (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 x y (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (fma.f64 x y (neg.f64 x)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x y))
(fma.f64 y x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x y))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 x (*.f64 x y))))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x y (neg.f64 x))))
(-.f64 (*.f64 x y) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 x) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) x)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) x)))))
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (neg.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y (neg.f64 x))))
(+.f64 (*.f64 x y) x)
(+.f64 x (*.f64 (neg.f64 (neg.f64 x)) y))
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) x))
(+.f64 x (*.f64 x y))

eval38.0ms (1%)

Memory
2.8MiB live, 62.3MiB allocated
Compiler

Compiled 9 184 to 1 358 computations (85.2% saved)

prune7.0ms (0.2%)

Memory
19.9MiB live, 19.9MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New3362338
Fresh022
Picked145
Done000
Total3378345
Accuracy
100.0%
Counts
345 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.5%
(/.f64 (fma.f64 (-.f64 y z) x x) z)
66.1%
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
39.7%
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
90.8%
(*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (-.f64 y z)))
37.8%
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
65.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
33.4%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
42.8%
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
Compiler

Compiled 99 to 76 computations (23.2% saved)

simplify85.0ms (2.2%)

Memory
-28.8MiB live, 43.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y z)
cost-diff0
(fma.f64 (-.f64 y z) x x)
cost-diff0
(/.f64 (fma.f64 (-.f64 y z) x x) z)
cost-diff0
(-.f64 y z)
cost-diff0
(+.f64 #s(literal 1 binary64) (-.f64 y z))
cost-diff0
(/.f64 x z)
cost-diff1
(*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (-.f64 y z)))
cost-diff0
(/.f64 y z)
cost-diff0
#s(approx (/ (+ 1 (- y z)) z) (/.f64 y z))
cost-diff0
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 (/.f64 x z) y)
cost-diff0
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019100
029100
15898
210298
319798
441098
5100698
6174998
7219498
8318498
9546698
0813698
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
#s(approx (/ (+ 1 (- y z)) z) (/.f64 y z))
(/.f64 y z)
y
z
x
(*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 x z)
x
z
(+.f64 #s(literal 1 binary64) (-.f64 y z))
#s(literal 1 binary64)
(-.f64 y z)
y
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(fma.f64 (-.f64 y z) x x)
(-.f64 y z)
y
z
x
Outputs
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
#s(approx (/ (+ 1 (- y z)) z) (/.f64 y z))
(/.f64 y z)
y
z
x
(*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/.f64 x z)
x
z
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
#s(literal 1 binary64)
(-.f64 y z)
y
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(fma.f64 (-.f64 y z) x x)
(-.f64 y z)
y
z
x

localize38.0ms (1%)

Memory
-1.2MiB live, 29.6MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 y z)
accuracy0.0078125
(fma.f64 (-.f64 y z) x x)
accuracy6.089867247627282
(/.f64 (fma.f64 (-.f64 y z) x x) z)
accuracy0.0
(/.f64 x z)
accuracy0.0
(-.f64 y z)
accuracy0.0078125
(+.f64 #s(literal 1 binary64) (-.f64 y z))
accuracy5.918671761749416
(*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (-.f64 y z)))
accuracy0.0
(/.f64 y z)
accuracy2.4195184859169014
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
accuracy38.604224114859534
#s(approx (/ (+ 1 (- y z)) z) (/.f64 y z))
accuracy0.0
(/.f64 x z)
accuracy3.6648735842105844
(*.f64 (/.f64 x z) y)
accuracy37.415142531823776
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
Samples
27.0ms254×0valid
0.0ms2valid
0.0ms1valid
Compiler

Compiled 90 to 17 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 7.0ms (42.8% of total)
ival-mult: 6.0ms (36.7% of total)
ival-add: 2.0ms (12.2% of total)
ival-sub: 1.0ms (6.1% 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)

series17.0ms (0.4%)

Memory
17.1MiB live, 17.1MiB allocated
Counts
11 → 53
Calls
Call 1
Inputs
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
#s(approx (/ (+ 1 (- y z)) z) (/.f64 y z))
(/.f64 y z)
(*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(-.f64 y z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(fma.f64 (-.f64 y z) x x)
Outputs
(/ (* x (- (+ 1 y) z)) z)
(/ (* x y) z)
(/ x z)
(* x (- (+ 1 y) z))
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(* -1 (* x (- (* -1 (- y z)) 1)))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (- 1 z) z)
(- (+ (/ 1 z) (/ y z)) 1)
(/ y z)
(- 1 z)
(- (+ 1 y) z)
(* -1 z)
(- y z)
(/ (+ x (* -1 (* x z))) z)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x y)))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(* x y)
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ 1 y) z)
(/ (+ 1 (+ y (* -1 z))) z)
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ y (* -1 z))
(/ (+ x (* x y)) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(+ x (* x y))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
-1
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (/ y z) 1))
(* -1 (* x z))
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
z
@0
((* (/ (+ 1 (- y z)) z) x) (* (/ x z) y) (/ x z) (* (/ (+ 1 (- y z)) z) x) (/ (+ 1 (- y z)) z) (/ y z) (* (/ x z) (+ 1 (- y z))) (+ 1 (- y z)) (- y z) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x))
2.0ms
x
@-inf
((* (/ (+ 1 (- y z)) z) x) (* (/ x z) y) (/ x z) (* (/ (+ 1 (- y z)) z) x) (/ (+ 1 (- y z)) z) (/ y z) (* (/ x z) (+ 1 (- y z))) (+ 1 (- y z)) (- y z) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x))
2.0ms
z
@-inf
((* (/ (+ 1 (- y z)) z) x) (* (/ x z) y) (/ x z) (* (/ (+ 1 (- y z)) z) x) (/ (+ 1 (- y z)) z) (/ y z) (* (/ x z) (+ 1 (- y z))) (+ 1 (- y z)) (- y z) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x))
2.0ms
y
@-inf
((* (/ (+ 1 (- y z)) z) x) (* (/ x z) y) (/ x z) (* (/ (+ 1 (- y z)) z) x) (/ (+ 1 (- y z)) z) (/ y z) (* (/ x z) (+ 1 (- y z))) (+ 1 (- y z)) (- y z) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x))
2.0ms
x
@inf
((* (/ (+ 1 (- y z)) z) x) (* (/ x z) y) (/ x z) (* (/ (+ 1 (- y z)) z) x) (/ (+ 1 (- y z)) z) (/ y z) (* (/ x z) (+ 1 (- y z))) (+ 1 (- y z)) (- y z) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x))

simplify239.0ms (6.1%)

Memory
-3.9MiB live, 25.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0123373
1412359
21474353
35468351
08308328
Stop Event
iter limit
node limit
Counts
53 → 52
Calls
Call 1
Inputs
(/ (* x (- (+ 1 y) z)) z)
(/ (* x y) z)
(/ x z)
(* x (- (+ 1 y) z))
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(* -1 (* x (- (* -1 (- y z)) 1)))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (- 1 z) z)
(- (+ (/ 1 z) (/ y z)) 1)
(/ y z)
(- 1 z)
(- (+ 1 y) z)
(* -1 z)
(- y z)
(/ (+ x (* -1 (* x z))) z)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x y)))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(* x y)
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ 1 y) z)
(/ (+ 1 (+ y (* -1 z))) z)
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ y (* -1 z))
(/ (+ x (* x y)) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(+ x (* x y))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
-1
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (/ y z) 1))
(* -1 (* x z))
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
Outputs
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ x z)
(/.f64 x z)
(* x (- (+ 1 y) z))
(fma.f64 x (-.f64 y z) x)
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(* -1 (* x (- (* -1 (- y z)) 1)))
(fma.f64 x (-.f64 y z) x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(/ (- 1 z) z)
(/.f64 (-.f64 #s(literal 1 binary64) z) z)
(- (+ (/ 1 z) (/ y z)) 1)
(/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) z) z)
(/ y z)
(/.f64 y z)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 y) z)
(-.f64 (+.f64 y #s(literal 1 binary64)) z)
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(+ x (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ x (+ (* -1 (* x z)) (* x y)))
(fma.f64 x (-.f64 y z) x)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(*.f64 (/.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z) x) z) y)
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) y y) z)
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) y y)
(* y (+ 1 (* -1 (/ z y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(*.f64 (/.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z) x) z) y)
(* x y)
(*.f64 x y)
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
(*.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z) x) y)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(*.f64 (/.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z) x) z) y)
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 z y)) (/.f64 #s(literal 1 binary64) z)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) y) #s(literal 1 binary64)))
(* -1 (* y (- (/ z y) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 z y) #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(*.f64 (/.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z) x) z) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(*.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z) x) y)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 x y x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(/ (+ 1 y) z)
(/.f64 (+.f64 y #s(literal 1 binary64)) z)
(/ (+ 1 (+ y (* -1 z))) z)
(/.f64 (-.f64 (+.f64 y #s(literal 1 binary64)) z) z)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 (+ y (* -1 z)))
(-.f64 (+.f64 y #s(literal 1 binary64)) z)
(+ y (* -1 z))
(-.f64 y z)
(/ (+ x (* x y)) z)
(/.f64 (fma.f64 x y x) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(+ x (* x y))
(fma.f64 x y x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
-1
#s(literal -1 binary64)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (+.f64 y #s(literal 1 binary64)) z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(fma.f64 x (-.f64 y z) x)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (+.f64 y #s(literal 1 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 x (-.f64 y z) x)

rewrite371.0ms (9.5%)

Memory
-26.2MiB live, 51.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01981
02981
110579
271979
0851279
Stop Event
iter limit
node limit
iter limit
Counts
11 → 622
Calls
Call 1
Inputs
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
#s(approx (/ (+ 1 (- y z)) z) (/.f64 y z))
(/.f64 y z)
(*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(-.f64 y z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(fma.f64 (-.f64 y z) x x)
Outputs
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
(*.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64))
(*.f64 (/.f64 x z) y)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) y))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) x)) z)
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 (*.f64 x y) z)
(neg.f64 (/.f64 (*.f64 (neg.f64 y) x) z))
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 z)))
(neg.f64 (*.f64 x (/.f64 (neg.f64 y) z)))
(neg.f64 (*.f64 y (/.f64 (neg.f64 x) z)))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) y))
(*.f64 (pow.f64 z #s(literal -1 binary64)) x)
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 x (pow.f64 z #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 #s(literal -1 binary64) x) (neg.f64 z))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 x z)
(neg.f64 (/.f64 (neg.f64 x) z))
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
(*.f64 x #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)))
#s(approx (/ (+ 1 (- y z)) z) (/.f64 y z))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 y z)
(neg.f64 (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) x) z) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (-.f64 y z)))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) x) z) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) (+.f64 (-.f64 y z) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) x) z) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64))) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (-.f64 y z)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) x) z) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64))))))
(*.f64 (/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) z) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (-.f64 y z)))
(*.f64 (/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) z) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) (+.f64 (-.f64 y z) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) z) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64))) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (-.f64 y z)))
(*.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) z) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64))))))
(*.f64 (/.f64 (fma.f64 (-.f64 y z) x x) (-.f64 (*.f64 (-.f64 y z) x) x)) (/.f64 (-.f64 (*.f64 (-.f64 y z) x) x) z))
(*.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x (-.f64 x (*.f64 (-.f64 y z) x)))) (*.f64 x (fma.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x (-.f64 x (*.f64 (-.f64 y z) x))))) (/.f64 (fma.f64 (-.f64 y z) x x) z))
(*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 x z) (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 y z) #s(literal 1 binary64))))
(*.f64 (/.f64 x z) (+.f64 (-.f64 y z) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (-.f64 y z) x x) z) #s(literal 1 binary64))
(*.f64 x (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z))
(*.f64 (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z) x)
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y z) x x) z))
(/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y z) x) (neg.f64 z) (*.f64 z (neg.f64 x))) z) (neg.f64 z))
(/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y z) x) z (*.f64 z x)) (fabs.f64 z)) (fabs.f64 z))
(/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y z) x) z (*.f64 z x)) (neg.f64 z)) (neg.f64 z))
(/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y z) x) z (*.f64 z x)) z) z)
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 x z)) (+.f64 (+.f64 y #s(literal 1 binary64)) z))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x z)) (-.f64 (-.f64 y z) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x z)) (+.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 z (+.f64 z (+.f64 y #s(literal 1 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (/.f64 x z)) (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x z)) (neg.f64 (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 (-.f64 y z) z) #s(literal 2 binary64))) x) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) z))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 (/.f64 (-.f64 y z) z) #s(literal 3 binary64))) x) (+.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 (/.f64 (-.f64 y z) z) (-.f64 (/.f64 (-.f64 y z) z) (pow.f64 z #s(literal -1 binary64))))))
(/.f64 (*.f64 (+.f64 z (*.f64 z (-.f64 y z))) x) (*.f64 z z))
(/.f64 (*.f64 (/.f64 x z) (-.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 z z))) (+.f64 (+.f64 y #s(literal 1 binary64)) z))
(/.f64 (*.f64 (/.f64 x z) (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (-.f64 y z) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 x z) (-.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 z (+.f64 z (+.f64 y #s(literal 1 binary64))))))
(/.f64 (*.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z))))
(/.f64 (*.f64 (/.f64 x z) (neg.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 (-.f64 y z) z) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) z))
(/.f64 (*.f64 x (+.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 (/.f64 (-.f64 y z) z) #s(literal 3 binary64)))) (+.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 (/.f64 (-.f64 y z) z) (-.f64 (/.f64 (-.f64 y z) z) (pow.f64 z #s(literal -1 binary64))))))
(/.f64 (*.f64 x (+.f64 z (*.f64 z (-.f64 y z)))) (*.f64 z z))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 x) z) (-.f64 y z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (*.f64 (/.f64 (neg.f64 x) z) (-.f64 y z))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) x) z)) (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z))))
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) x) z)) (neg.f64 (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) z)) (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) z)) (neg.f64 (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (-.f64 y z) x) x) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) (-.f64 y z)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) (-.f64 y z)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 y z) z) x) (/.f64 (-.f64 (*.f64 (-.f64 y z) x) x) z)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (neg.f64 x))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (neg.f64 z))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 x))) (neg.f64 (*.f64 (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 z))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))))) (neg.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (-.f64 y z)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x))) (neg.f64 (*.f64 (neg.f64 z) (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 y z) x) x) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 y z) x) x) #s(literal 3 binary64))) (*.f64 x (fma.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x (-.f64 x (*.f64 (-.f64 y z) x))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x (neg.f64 x)))) (neg.f64 (-.f64 (*.f64 (-.f64 y z) x) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 x (fma.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x (-.f64 x (*.f64 (-.f64 y z) x))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (neg.f64 x)) (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z)))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x)) (neg.f64 (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z)))
(/.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x (neg.f64 x))) (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 y z) x) x))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x (neg.f64 x))) (-.f64 (*.f64 (-.f64 y z) x) x))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x (-.f64 x (*.f64 (-.f64 y z) x)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x (-.f64 x (*.f64 (-.f64 y z) x)))))
(neg.f64 (neg.f64 (fma.f64 (-.f64 y z) x x)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 4 binary64)) (pow.f64 (*.f64 x (-.f64 x (*.f64 (-.f64 y z) x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (-.f64 y z) x)))) (/.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x (-.f64 x (*.f64 (-.f64 y z) x))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (-.f64 x (*.f64 (-.f64 y z) x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 4 binary64)) (*.f64 (*.f64 x (-.f64 x (*.f64 (-.f64 y z) x))) (-.f64 (*.f64 x (-.f64 x (*.f64 (-.f64 y z) x))) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x (-.f64 x (*.f64 (-.f64 y z) x))))))
(fma.f64 (/.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y y (*.f64 z (-.f64 z y))) x)
(fma.f64 (/.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) x)) (*.f64 (+.f64 z y) (-.f64 y z))) (-.f64 y z) x)
(fma.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 z (+.f64 z y)) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 z (+.f64 z y))) x)
(fma.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 z (+.f64 z y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 z (+.f64 z y)) (-.f64 (*.f64 z (+.f64 z y)) (*.f64 y y)))) x)
(fma.f64 (/.f64 (*.f64 (*.f64 x (+.f64 z y)) (-.f64 y z)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y y (*.f64 z (-.f64 z y))) x)
(fma.f64 (/.f64 (*.f64 (*.f64 x (+.f64 z y)) (-.f64 y z)) (*.f64 (+.f64 z y) (-.f64 y z))) (-.f64 y z) x)
(fma.f64 (/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 z (+.f64 z y)) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 z (+.f64 z y))) x)
(fma.f64 (/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 z (+.f64 z y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 z (+.f64 z y)) (-.f64 (*.f64 z (+.f64 z y)) (*.f64 y y)))) x)
(fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 4 binary64)) (pow.f64 (*.f64 x (-.f64 x (*.f64 (-.f64 y z) x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (-.f64 y z) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x (-.f64 x (*.f64 (-.f64 y z) x))))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (-.f64 x (*.f64 (-.f64 y z) x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 4 binary64)) (*.f64 (*.f64 x (-.f64 x (*.f64 (-.f64 y z) x))) (-.f64 (*.f64 x (-.f64 x (*.f64 (-.f64 y z) x))) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x (-.f64 x (*.f64 (-.f64 y z) x))))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (-.f64 y z) x x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (-.f64 y z) x) x)))
(fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x (neg.f64 x)))) (fma.f64 (-.f64 y z) x x) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (-.f64 y z) x) x)))
(fma.f64 (pow.f64 (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x (*.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64))) x))
(fma.f64 (*.f64 (-.f64 y z) x) #s(literal 1 binary64) x)
(fma.f64 (-.f64 y z) x x)
(fma.f64 x (pow.f64 (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(fma.f64 x (-.f64 y z) x)
(fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) (-.f64 y z))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 y z) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) x) x)
(fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (neg.f64 x) (-.f64 y z))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 y z) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 y z) x))) (/.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 y z) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 y z) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 y z) x) x)))
(-.f64 (*.f64 (-.f64 y z) x) (*.f64 #s(literal -1 binary64) x))
(-.f64 (*.f64 (-.f64 y z) x) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 x) (-.f64 y z)))
(+.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x) (*.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64))) x))
(+.f64 (*.f64 x (pow.f64 (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 x (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)))))))
(+.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 y z))) x)
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x (-.f64 x (*.f64 (-.f64 y z) x))))) (/.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x (-.f64 x (*.f64 (-.f64 y z) x))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x (-.f64 x (*.f64 (-.f64 y z) x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x (-.f64 x (*.f64 (-.f64 y z) x))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 y z) x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (-.f64 y z) x) x)))
(+.f64 (*.f64 (-.f64 y z) x) x)
(+.f64 x (neg.f64 (*.f64 (neg.f64 x) (-.f64 y z))))
(+.f64 x (*.f64 (-.f64 y z) x))

eval71.0ms (1.8%)

Memory
13.8MiB live, 43.3MiB allocated
Compiler

Compiled 13 942 to 1 617 computations (88.4% saved)

prune18.0ms (0.5%)

Memory
-10.6MiB live, 21.2MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New5090509
Fresh000
Picked044
Done044
Total5098517
Accuracy
100.0%
Counts
517 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.5%
(/.f64 (fma.f64 (-.f64 y z) x x) z)
66.1%
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
39.7%
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
90.8%
(*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (-.f64 y z)))
37.8%
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
65.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
33.4%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
42.8%
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
Compiler

Compiled 216 to 114 computations (47.2% saved)

regimes13.0ms (0.3%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z) x)
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Outputs
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (-.f64 y z)))
Calls

4 calls:

3.0ms
z
3.0ms
x
3.0ms
y
3.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
99.2%2(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
99.9%2x
96.2%1y
99.9%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.3%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
Outputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Calls

4 calls:

2.0ms
z
2.0ms
x
2.0ms
y
2.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
93.7%3y
96.4%3z
93.1%2(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
90.5%1x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes9.0ms (0.2%)

Memory
7.5MiB live, 7.5MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
Outputs
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
Calls

4 calls:

2.0ms
z
2.0ms
x
2.0ms
y
2.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
69.3%2x
90.1%3y
82.1%2(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
89.4%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes141.0ms (3.6%)

Memory
-31.8MiB live, 6.0MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
Outputs
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
Calls

4 calls:

11.0ms
x
1.0ms
z
1.0ms
y
1.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
65.7%1x
65.7%1(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
65.7%1z
65.7%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes4.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
y
1.0ms
x
1.0ms
z
1.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
33.4%1(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
33.4%1y
33.4%1z
33.4%1x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch10.0ms (0.3%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
1.2676048437947775e-52
3.2788153369035903e-51
Samples
5.0ms112×0valid
Compiler

Compiled 131 to 126 computations (3.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (37.5% of total)
ival-div: 1.0ms (37.5% of total)
ival-add: 1.0ms (37.5% of total)
ival-mult: 1.0ms (37.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.6%)

Memory
7.9MiB live, 7.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
4.1472018247067285e+175
1.4120698938153009e+180
10.0ms
-2.3116150912796435e+126
-2.381696761579319e+122
Samples
11.0ms256×0valid
Compiler

Compiled 332 to 302 computations (9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (33.3% of total)
ival-mult: 2.0ms (33.3% of total)
ival-sub: 1.0ms (16.6% of total)
ival-add: 1.0ms (16.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.5%)

Memory
7.4MiB live, 7.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
1.2266637633614992e+27
5.976619025610873e+27
11.0ms
-3.157043851524669e+56
-1.7915448358371828e+49
Samples
11.0ms240×0valid
Compiler

Compiled 462 to 374 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (34.7% of total)
ival-sub: 1.0ms (17.3% of total)
ival-add: 1.0ms (17.3% of total)
ival-mult: 1.0ms (17.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify107.0ms (2.7%)

Memory
-21.7MiB live, 9.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038116
173116
2114116
3199116
4407116
5850116
61512116
72041116
84279116
97151116
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 2358995333375681/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (-.f64 y z))))
(if (<=.f64 z #s(literal -2300000000000000052655939669971618575242880292396483089375744431316884247844257228279342446656891176143622979289203215316287488 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 134999999999999990883056330057841324020957674415266590311733226897893955606455143258967626799629744667301312617621498660980884642007305352498628222688517942738873594197040619847680 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))))
(if (<=.f64 y #s(literal -19500000000000000449345747305952439936418903490560 binary64)) #s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 1900000000000000107709726720 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Outputs
(if (<=.f64 x #s(literal 2358995333375681/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (-.f64 y z))))
(if (<=.f64 z #s(literal -2300000000000000052655939669971618575242880292396483089375744431316884247844257228279342446656891176143622979289203215316287488 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 134999999999999990883056330057841324020957674415266590311733226897893955606455143258967626799629744667301312617621498660980884642007305352498628222688517942738873594197040619847680 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))))
(if (or (<=.f64 z #s(literal -2300000000000000052655939669971618575242880292396483089375744431316884247844257228279342446656891176143622979289203215316287488 binary64)) (not (<=.f64 z #s(literal 134999999999999990883056330057841324020957674415266590311733226897893955606455143258967626799629744667301312617621498660980884642007305352498628222688517942738873594197040619847680 binary64)))) #s(approx (* (/ (+ 1 (- y z)) z) x) (neg.f64 x)) (/.f64 (fma.f64 (-.f64 y z) x x) z))
(if (<=.f64 y #s(literal -19500000000000000449345747305952439936418903490560 binary64)) #s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 1900000000000000107709726720 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))))
(if (or (<=.f64 y #s(literal -19500000000000000449345747305952439936418903490560 binary64)) (not (<=.f64 y #s(literal 1900000000000000107709726720 binary64)))) #s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y)) #s(approx (* (/ (+ 1 (- y z)) z) x) (-.f64 (/.f64 x z) x)))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (* (/ (+ 1 (- y z)) z) x) (-.f64 (/.f64 x z) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (* (/ (+ 1 (- y z)) z) x) (neg.f64 x))

soundness646.0ms (16.5%)

Memory
17.0MiB live, 236.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082204
1279204
2992204
33479201
47720201
08174186
0113306
1367306
21179296
33888294
08108275
0824
01224
15524
240224
3529224
0811822
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 223 to 106 computations (52.5% saved)

preprocess150.0ms (3.8%)

Memory
-8.4MiB live, 177.6MiB allocated
Compiler

Compiled 450 to 208 computations (53.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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