Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1

Time bar (total: 2.4s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.1s (45.2%)

Memory
2.4MiB live, 1 461.7MiB allocated; 432ms collecting garbage
Samples
675.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 325.0ms
ival-mult: 262.0ms (80.7% of total)
ival-sub: 48.0ms (14.8% of total)
ival-true: 5.0ms (1.5% of total)
exact: 5.0ms (1.5% of total)
ival-assert: 3.0ms (0.9% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

explain162.0ms (6.8%)

Memory
30.3MiB live, 279.2MiB allocated; 91ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
00-0-y
00-0-(*.f64 y #s(literal 4 binary64))
00-0-#s(literal 4 binary64)
00-0-z
00-0-(*.f64 x x)
00-0-(*.f64 (*.f64 y #s(literal 4 binary64)) z)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))nan-rescue30
(*.f64 x x)overflow69
(*.f64 (*.f64 y #s(literal 4 binary64)) z)overflow29
Confusion
Predicted +Predicted -
+30
-0253
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+300
-00253
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0253
13
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
64.0ms512×0valid
Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 42.0ms (93.4% of total)
ival-sub: 2.0ms (4.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess73.0ms (3.1%)

Memory
-23.5MiB live, 64.5MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03088
18784
222684
349781
462981
089
0129
1239
2619
31439
42279
52539
02538
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Outputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x))
Symmetry

(abs x)

(sort y z)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Compiler

Compiled 9 to 8 computations (11.1% saved)

series9.0ms (0.4%)

Memory
31.3MiB live, 31.3MiB allocated; 0ms collecting garbage
Counts
8 → 15
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
Outputs
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -4 (* y z))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (- (pow x 2) (* 4 (* y z)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (* (* y 4) z) #s(hole binary64 (* 4 (* y z))))
#s(approx (* y 4) #s(hole binary64 (* 4 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))))
#s(approx z #s(hole binary64 z))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* z (- (/ (pow x 2) z) (* 4 y)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))))
Calls

9 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
((- (* x x) (* (* y 4) z)) (* x x) x (* (* y 4) z) (* y 4) y 4 z)
1.0ms
y
@0
((- (* x x) (* (* y 4) z)) (* x x) x (* (* y 4) z) (* y 4) y 4 z)
1.0ms
y
@inf
((- (* x x) (* (* y 4) z)) (* x x) x (* (* y 4) z) (* y 4) y 4 z)
1.0ms
z
@inf
((- (* x x) (* (* y 4) z)) (* x x) x (* (* y 4) z) (* y 4) y 4 z)
1.0ms
x
@inf
((- (* x x) (* (* y 4) z)) (* x x) x (* (* y 4) z) (* y 4) y 4 z)

simplify173.0ms (7.3%)

Memory
-15.4MiB live, 231.6MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055203
1121203
2396203
32320203
08381187
Stop Event
iter limit
node limit
Counts
15 → 15
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -4 (* y z))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (- (pow x 2) (* 4 (* y z)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (* (* y 4) z) #s(hole binary64 (* 4 (* y z))))
#s(approx (* y 4) #s(hole binary64 (* 4 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))))
#s(approx z #s(hole binary64 z))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* z (- (/ (pow x 2) z) (* 4 y)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))))
Outputs
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -4 (* y z))))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (- (pow x 2) (* 4 (* y z)))))
#s(approx (- (* x x) (* (* y 4) z)) (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (- (* x x) (* (* y 4) z)) (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (- (* x x) (* (* y 4) z)) (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (* (* y 4) z) #s(hole binary64 (* 4 (* y z))))
#s(approx (* (* y 4) z) (*.f64 (*.f64 #s(literal 4 binary64) z) y))
#s(approx (* y 4) #s(hole binary64 (* 4 y)))
#s(approx (* y 4) (*.f64 #s(literal 4 binary64) y))
#s(approx y #s(hole binary64 y))
#s(approx y y)
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (*.f64 x x) y)) y))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (*.f64 x x) y)) y))
#s(approx z #s(hole binary64 z))
#s(approx z z)
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* z (- (/ (pow x 2) z) (* 4 y)))))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (*.f64 x x) z)) z))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (*.f64 x x) z)) z))

rewrite68.0ms (2.9%)

Memory
-5.4MiB live, 86.1MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01224
13824
026823
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
8 → 62
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
Outputs
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -4 binary64) y) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(fma.f64 x x (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 x x (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) z))
(-.f64 (*.f64 x x) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(+.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
(*.f64 (*.f64 z y) #s(literal 4 binary64))
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z

eval7.0ms (0.3%)

Memory
16.7MiB live, 16.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 969 to 168 computations (82.7% saved)

prune8.0ms (0.3%)

Memory
-35.9MiB live, 9.4MiB allocated; 4ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New71475
Fresh000
Picked101
Done000
Total72476
Accuracy
100.0%
Counts
76 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
98.8%
(fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
52.0%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
54.3%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Compiler

Compiled 44 to 36 computations (18.2% saved)

series9.0ms (0.4%)

Memory
21.1MiB live, 21.1MiB allocated; 0ms collecting garbage
Counts
13 → 33
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
z
y
#s(literal -4 binary64)
(fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
Outputs
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -4 (* y z))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (- (pow x 2) (* 4 (* y z)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (* -4 (* y z))))
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (* -4 (* y z))))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (* (* z y) -4) #s(hole binary64 (* -4 (* y z))))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx (* (* -4 y) z) #s(hole binary64 (* -4 (* y z))))
#s(approx (* -4 y) #s(hole binary64 (* -4 y)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (* y (+ (* -4 z) (/ (pow x 2) y)))))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (* y (+ (* -4 z) (/ (pow x 2) y)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))))
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))))
#s(approx z #s(hole binary64 z))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* z (- (/ (pow x 2) z) (* 4 y)))))
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (* z (+ (* -4 y) (/ (pow x 2) z)))))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (* z (+ (* -4 y) (/ (pow x 2) z)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))))
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((- (* x x) (* (* y 4) z)) (* x x) x (- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* x x) (* (* -4 y) z)) (* (* -4 y) z) (* -4 y) (+ (* (* -4 y) z) (* x x)))
1.0ms
z
@-inf
((- (* x x) (* (* y 4) z)) (* x x) x (- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* x x) (* (* -4 y) z)) (* (* -4 y) z) (* -4 y) (+ (* (* -4 y) z) (* x x)))
1.0ms
y
@inf
((- (* x x) (* (* y 4) z)) (* x x) x (- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* x x) (* (* -4 y) z)) (* (* -4 y) z) (* -4 y) (+ (* (* -4 y) z) (* x x)))
1.0ms
y
@0
((- (* x x) (* (* y 4) z)) (* x x) x (- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* x x) (* (* -4 y) z)) (* (* -4 y) z) (* -4 y) (+ (* (* -4 y) z) (* x x)))
1.0ms
x
@inf
((- (* x x) (* (* y 4) z)) (* x x) x (- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* x x) (* (* -4 y) z)) (* (* -4 y) z) (* -4 y) (+ (* (* -4 y) z) (* x x)))

simplify173.0ms (7.3%)

Memory
-15.7MiB live, 226.4MiB allocated; 64ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088539
1196539
2568539
32810539
08101495
Stop Event
iter limit
node limit
Counts
33 → 33
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -4 (* y z))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (- (pow x 2) (* 4 (* y z)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (* -4 (* y z))))
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (* -4 (* y z))))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (* (* z y) -4) #s(hole binary64 (* -4 (* y z))))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx (* (* -4 y) z) #s(hole binary64 (* -4 (* y z))))
#s(approx (* -4 y) #s(hole binary64 (* -4 y)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (* y (+ (* -4 z) (/ (pow x 2) y)))))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (* y (+ (* -4 z) (/ (pow x 2) y)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))))
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))))
#s(approx z #s(hole binary64 z))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* z (- (/ (pow x 2) z) (* 4 y)))))
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (* z (+ (* -4 y) (/ (pow x 2) z)))))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (* z (+ (* -4 y) (/ (pow x 2) z)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))))
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))))
Outputs
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -4 (* y z))))
#s(approx (+ (* (* -4 y) z) (* x x)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (- (pow x 2) (* 4 (* y z)))))
#s(approx (+ (* (* -4 y) z) (* x x)) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (* -4 (* y z))))
#s(approx (+ (* (* -4 y) z) (* x x)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (+ (* (* -4 y) z) (* x x)) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (* -4 (* y z))))
#s(approx (+ (* (* -4 y) z) (* x x)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (+ (* (* -4 y) z) (* x x)) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* -4 y) z) (* x x)) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (+ (* (* -4 y) z) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* -4 y) z) (* x x)) (*.f64 x x))
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (+ (* (* -4 y) z) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* -4 y) z) (* x x)) (*.f64 x x))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (+ (* (* -4 y) z) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (+ (* (* -4 y) z) (* x x)) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))
#s(approx (* (* z y) -4) #s(hole binary64 (* -4 (* y z))))
#s(approx (* (* z y) -4) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx (* z y) (*.f64 z y))
#s(approx y #s(hole binary64 y))
#s(approx y y)
#s(approx (* (* -4 y) z) #s(hole binary64 (* -4 (* y z))))
#s(approx (* (* z y) -4) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#s(approx (* -4 y) #s(hole binary64 (* -4 y)))
#s(approx (* -4 y) (*.f64 #s(literal -4 binary64) y))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (+ (* (* -4 y) z) (* x x)) (*.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (*.f64 x x) y)) y))
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (* y (+ (* -4 z) (/ (pow x 2) y)))))
#s(approx (+ (* (* -4 y) z) (* x x)) (*.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (*.f64 x x) y)) y))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (* y (+ (* -4 z) (/ (pow x 2) y)))))
#s(approx (+ (* (* -4 y) z) (* x x)) (*.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (*.f64 x x) y)) y))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))))
#s(approx (+ (* (* -4 y) z) (* x x)) (*.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (*.f64 x x) y)) y))
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))))
#s(approx (+ (* (* -4 y) z) (* x x)) (*.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (*.f64 x x) y)) y))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))))
#s(approx (+ (* (* -4 y) z) (* x x)) (*.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (*.f64 x x) y)) y))
#s(approx z #s(hole binary64 z))
#s(approx z z)
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* z (- (/ (pow x 2) z) (* 4 y)))))
#s(approx (+ (* (* -4 y) z) (* x x)) (*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (*.f64 x x) z)) z))
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (* z (+ (* -4 y) (/ (pow x 2) z)))))
#s(approx (+ (* (* -4 y) z) (* x x)) (*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (*.f64 x x) z)) z))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (* z (+ (* -4 y) (/ (pow x 2) z)))))
#s(approx (+ (* (* -4 y) z) (* x x)) (*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (*.f64 x x) z)) z))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))))
#s(approx (+ (* (* -4 y) z) (* x x)) (*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (*.f64 x x) z)) z))
#s(approx (+ (* x x) (* (* -4 y) z)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))))
#s(approx (+ (* (* -4 y) z) (* x x)) (*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (*.f64 x x) z)) z))
#s(approx (+ (* (* -4 y) z) (* x x)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))))
#s(approx (+ (* (* -4 y) z) (* x x)) (*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (*.f64 x x) z)) z))

rewrite48.0ms (2%)

Memory
34.2MiB live, 81.6MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01867
02567
18165
060265
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
13 → 172
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
z
y
#s(literal -4 binary64)
(fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 (*.f64 z #s(literal -4 binary64)) y)
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) (*.f64 z y))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(neg.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal -4 binary64)
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64))) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (*.f64 x x))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) (*.f64 x x))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 x x (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 x x (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 (neg.f64 x) x))))
(-.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 z y)) #s(literal -4 binary64)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y)))
(-.f64 (*.f64 x x) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 (*.f64 z #s(literal -4 binary64)) y)
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) (*.f64 z y))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(neg.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(*.f64 (neg.f64 y) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal 4 binary64) (neg.f64 y))
(*.f64 y #s(literal -4 binary64))
(neg.f64 (*.f64 #s(literal 4 binary64) y))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64))) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (*.f64 x x))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) (*.f64 x x))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 x x (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 x x (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 (neg.f64 x) x))))
(-.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 z y)) #s(literal -4 binary64)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y)))
(-.f64 (*.f64 x x) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -4 binary64) y) z))

eval16.0ms (0.7%)

Memory
-11.2MiB live, 35.0MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 115 to 278 computations (86.9% saved)

prune37.0ms (1.6%)

Memory
-18.8MiB live, 27.2MiB allocated; 4ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1511152
Fresh000
Picked134
Done000
Total1524156
Accuracy
100.0%
Counts
156 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
98.8%
(fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
52.0%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
54.3%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Compiler

Compiled 44 to 36 computations (18.2% saved)

series5.0ms (0.2%)

Memory
18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Counts
6 → 13
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
(*.f64 (*.f64 z #s(literal -4 binary64)) y)
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
y
Outputs
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -4 (* y z))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (- (pow x 2) (* 4 (* y z)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (* (* z -4) y) #s(hole binary64 (* -4 (* y z))))
#s(approx y #s(hole binary64 y))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))))
#s(approx (* z -4) #s(hole binary64 (* -4 z)))
#s(approx z #s(hole binary64 z))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* z (- (/ (pow x 2) z) (* 4 y)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
((- (* x x) (* (* y 4) z)) (* (* z -4) y) (* z -4) z -4 y)
1.0ms
z
@inf
((- (* x x) (* (* y 4) z)) (* (* z -4) y) (* z -4) z -4 y)
1.0ms
y
@inf
((- (* x x) (* (* y 4) z)) (* (* z -4) y) (* z -4) z -4 y)
1.0ms
y
@-inf
((- (* x x) (* (* y 4) z)) (* (* z -4) y) (* z -4) z -4 y)
1.0ms
z
@0
((- (* x x) (* (* y 4) z)) (* (* z -4) y) (* z -4) z -4 y)

simplify166.0ms (7%)

Memory
-9.7MiB live, 170.3MiB allocated; 55ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055193
1121193
2394193
32320193
08385177
Stop Event
iter limit
node limit
Counts
13 → 13
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -4 (* y z))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (- (pow x 2) (* 4 (* y z)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (* (* z -4) y) #s(hole binary64 (* -4 (* y z))))
#s(approx y #s(hole binary64 y))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))))
#s(approx (* z -4) #s(hole binary64 (* -4 z)))
#s(approx z #s(hole binary64 z))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* z (- (/ (pow x 2) z) (* 4 y)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))))
Outputs
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -4 (* y z))))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (- (pow x 2) (* 4 (* y z)))))
#s(approx (- (* x x) (* (* y 4) z)) (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (- (* x x) (* (* y 4) z)) (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (- (* x x) (* (* y 4) z)) (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (* (* z -4) y) #s(hole binary64 (* -4 (* y z))))
#s(approx (* (* z -4) y) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#s(approx y #s(hole binary64 y))
#s(approx y y)
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (*.f64 x x) y)) y))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (*.f64 x x) y)) y))
#s(approx (* z -4) #s(hole binary64 (* -4 z)))
#s(approx (* z -4) (*.f64 #s(literal -4 binary64) z))
#s(approx z #s(hole binary64 z))
#s(approx z z)
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* z (- (/ (pow x 2) z) (* 4 y)))))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (*.f64 x x) z)) z))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (*.f64 x x) z)) z))

rewrite30.0ms (1.3%)

Memory
35.6MiB live, 35.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
01426
14426
027525
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
6 → 13
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
(*.f64 (*.f64 z #s(literal -4 binary64)) y)
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
y
Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(*.f64 (*.f64 y z) #s(literal -4 binary64))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) (*.f64 z y))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(neg.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(*.f64 #s(literal -4 binary64) z)
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
y

eval2.0ms (0.1%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 356 to 62 computations (82.6% saved)

prune30.0ms (1.3%)

Memory
-41.8MiB live, 13.2MiB allocated; 20ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New22022
Fresh000
Picked011
Done033
Total22426
Accuracy
100.0%
Counts
26 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
98.8%
(fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
52.0%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
54.3%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Compiler

Compiled 112 to 61 computations (45.5% saved)

regimes16.0ms (0.7%)

Memory
22.1MiB live, 22.1MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Outputs
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
Calls

7 calls:

3.0ms
y
2.0ms
z
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
x
2.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
AccuracySegmentsBranch
100.0%1(*.f64 y #s(literal 4 binary64))
100.0%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
100.0%1(*.f64 x x)
100.0%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
100.0%1x
100.0%1y
100.0%1z
Compiler

Compiled 23 to 32 computations (-39.1% saved)

regimes87.0ms (3.7%)

Memory
-27.0MiB live, 19.6MiB allocated; 6ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
Outputs
(fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
Calls

7 calls:

76.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
98.8%1(*.f64 y #s(literal 4 binary64))
98.8%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
98.8%1(*.f64 x x)
98.8%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
98.8%1x
98.8%1y
98.8%1z
Compiler

Compiled 23 to 32 computations (-39.1% saved)

regimes11.0ms (0.5%)

Memory
17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Calls

7 calls:

2.0ms
z
1.0ms
x
1.0ms
(*.f64 y #s(literal 4 binary64))
1.0ms
y
1.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
Results
AccuracySegmentsBranch
71.7%3(*.f64 y #s(literal 4 binary64))
73.0%3(*.f64 (*.f64 y #s(literal 4 binary64)) z)
85.6%2(*.f64 x x)
78.1%2(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
85.6%2x
71.7%3y
67.6%3z
Compiler

Compiled 23 to 32 computations (-39.1% saved)

regimes7.0ms (0.3%)

Memory
14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Calls

7 calls:

1.0ms
(*.f64 y #s(literal 4 binary64))
1.0ms
x
1.0ms
z
1.0ms
y
1.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
Results
AccuracySegmentsBranch
54.3%1z
54.3%1(*.f64 y #s(literal 4 binary64))
54.3%1y
54.3%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
54.3%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
54.3%1(*.f64 x x)
54.3%1x
Compiler

Compiled 23 to 32 computations (-39.1% saved)

bsearch33.0ms (1.4%)

Memory
-31.1MiB live, 14.2MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
32.0ms
5.311873251482444e+33
2.344661672168335e+34
Samples
4.0ms96×0valid
Compiler

Compiled 180 to 158 computations (12.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 2.0ms (86.8% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify12.0ms (0.5%)

Memory
19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02161
13261
26961
315361
424661
529161
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
(fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(if (<=.f64 x #s(literal 6799999999999999860495871633260544 binary64)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z #s(literal -4 binary64)) y)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Outputs
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
(fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(if (<=.f64 x #s(literal 6799999999999999860495871633260544 binary64)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z #s(literal -4 binary64)) y)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

derivations80.0ms (3.4%)

Memory
24.9MiB live, 69.9MiB allocated; 9ms collecting garbage
Stop Event
done
Compiler

Compiled 61 to 21 computations (65.6% saved)

preprocess36.0ms (1.5%)

Memory
-19.0MiB live, 32.5MiB allocated; 13ms collecting garbage
Remove

(sort y z)

(abs x)

Compiler

Compiled 172 to 86 computations (50% saved)

end0.0ms (0%)

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

Profiling

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