Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1

Time bar (total: 1.1s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
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)

sample701.0ms (61%)

Memory
36.2MiB live, 1 123.1MiB allocated; 194ms collecting garbage
Samples
474.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 167.0ms
ival-mult!: 149.0ms (89.2% of total)
ival-sub!: 17.0ms (10.2% of total)
adjust: 2.0ms (1.2% of total)
Bogosity

explain73.0ms (6.4%)

Memory
-5.8MiB live, 139.9MiB allocated; 10ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
50-0-(-.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-rescue50
(*.f64 x x)overflow67
(*.f64 y #s(literal 4 binary64))overflow1
(*.f64 (*.f64 y #s(literal 4 binary64)) z)overflow28
Confusion
Predicted +Predicted -
+50
-0251
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+500
-00251
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0251
15
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
23.0ms512×0valid
Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult!: 7.0ms (83.4% of total)
ival-sub!: 1.0ms (11.9% of total)
adjust: 0.0ms (0% of total)

preprocess13.0ms (1.1%)

Memory
-25.9MiB live, 21.1MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03197
18893
222793
349890
463290
Stop Event
saturated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Symmetry

(abs x)

(sort y z)

Compiler

Compiled 18 to 16 computations (11.1% saved)

series9.0ms (0.8%)

Memory
18.2MiB live, 18.2MiB 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
x
@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)

rewrite124.0ms (10.8%)

Memory
-9.2MiB live, 173.5MiB allocated; 64ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059241
064237
1243237
01831220
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
23 → 174
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
#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
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 64 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) y) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x)) (pow.f64 x #s(literal 4 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 x x) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x)) (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) y) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.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))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) x) x))))
(/.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 #s(literal 4 binary64)) y (*.f64 x x)) (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(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 z y) #s(literal -4 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(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 z y) #s(literal -4 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(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 z y) #s(literal -4 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(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 z y) #s(literal -4 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(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 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (*.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 x x))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 x x (*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(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 z y) #s(literal -4 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 (neg.f64 x) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) y) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) y) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 z) y) #s(literal -4 binary64)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 z #s(literal 4 binary64)) y))
(-.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x)) (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x)) (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 x x) (*.f64 (*.f64 (neg.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 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(+.f64 (*.f64 x x) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(+.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.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 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
x
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 (*.f64 z y) #s(literal 4 binary64))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (*.f64 z y))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(neg.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(neg.f64 (*.f64 #s(literal -4 binary64) y))
y
#s(literal 4 binary64)
z
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) z)) (fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) x) (/.f64 z x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) z)) (fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x)))
#s(approx (* (* y 4) z) (*.f64 (*.f64 z #s(literal 4 binary64)) y))
#s(approx (* y 4) (*.f64 #s(literal 4 binary64) y))
#s(approx y y)
#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)) (*.f64 (neg.f64 y) (fma.f64 z #s(literal 4 binary64) (/.f64 (*.f64 (neg.f64 x) x) y))))
#s(approx z z)
#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)) (*.f64 (neg.f64 z) (fma.f64 #s(literal 4 binary64) y (/.f64 (*.f64 (neg.f64 x) x) z))))

eval18.0ms (1.5%)

Memory
-11.5MiB live, 35.7MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 291 to 324 computations (85.9% saved)

prune3.0ms (0.2%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1653168
Fresh000
Picked101
Done000
Total1663169
Accuracy
100.0%
Counts
169 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
51.2%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
56.4%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Compiler

Compiled 36 to 29 computations (19.4% saved)

series8.0ms (0.7%)

Memory
17.9MiB live, 17.9MiB allocated; 0ms collecting garbage
Counts
11 → 24
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 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(*.f64 #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 (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (* -4 (* y z))))
#s(approx (+ (* (* -4 z) y) (* 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 (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* -4 z) y) (* 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 (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (+ (* (* -4 z) y) (* 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 (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))))
#s(approx z #s(hole binary64 z))
#s(approx (* -4 z) #s(hole binary64 (* -4 z)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* z (- (/ (pow x 2) z) (* 4 y)))))
#s(approx (+ (* (* -4 z) y) (* 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 (+ (* (* -4 z) y) (* x x)) #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)) (* x x) x (- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* (* -4 z) y) (* x x)) (* -4 z))
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 (+ (* (* -4 z) y) (* x x)) (* -4 z))
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 (+ (* (* -4 z) y) (* x x)) (* -4 z))
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 (+ (* (* -4 z) y) (* x x)) (* -4 z))
1.0ms
z
@0
((- (* x x) (* (* y 4) z)) (* x x) x (- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* (* -4 z) y) (* x x)) (* -4 z))

rewrite92.0ms (8.1%)

Memory
-7.8MiB live, 90.0MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085434
089412
1354412
02547402
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
35 → 197
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 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(*.f64 #s(literal -4 binary64) z)
#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 (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (* -4 (* y z))))
#s(approx (+ (* (* -4 z) y) (* 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 (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* -4 z) y) (* 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 (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (+ (* (* -4 z) y) (* 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 (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))))
#s(approx z #s(hole binary64 z))
#s(approx (* -4 z) #s(hole binary64 (* -4 z)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* z (- (/ (pow x 2) z) (* 4 y)))))
#s(approx (+ (* (* -4 z) y) (* 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 (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))))
Outputs
#s(approx (+ (* (* -4 z) y) (* x x)) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.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 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(approx (+ (* (* -4 z) y) (* x x)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.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 (*.f64 z y) #s(literal 4 binary64)))
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal -4 binary64)
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.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) z) y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) z (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.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 (*.f64 z y) #s(literal 4 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 z y) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) z (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) y) z (*.f64 x x)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) z (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 (neg.f64 x) x)))
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(-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) (*.f64 (neg.f64 x) x))
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#s(approx (+ (* (* -4 z) y) (* x x)) (fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
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#s(approx (+ (* (* -4 z) y) (* x x)) (fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x)))
#s(approx (+ (* (* -4 z) y) (* x x)) (*.f64 x x))
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#s(approx (+ (* (* -4 z) y) (* x x)) (*.f64 x x))
#s(approx (+ (* (* -4 z) y) (* x x)) (*.f64 (fma.f64 (/.f64 (*.f64 z y) x) (/.f64 #s(literal -4 binary64) x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* (* -4 z) y) (* x x)) (fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x)))
#s(approx (* (* z y) -4) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (* z y) (*.f64 z y))
#s(approx y y)
#s(approx (+ (* (* -4 z) y) (* x x)) (*.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (*.f64 x x) y)) y))
#s(approx (+ (* (* -4 z) y) (* x x)) (*.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (*.f64 x x) y)) y))
#s(approx (+ (* (* -4 z) y) (* x x)) (*.f64 (neg.f64 y) (fma.f64 z #s(literal 4 binary64) (/.f64 (*.f64 (neg.f64 x) x) y))))
#s(approx (+ (* (* -4 z) y) (* x x)) (*.f64 (neg.f64 y) (fma.f64 z #s(literal 4 binary64) (/.f64 (*.f64 (neg.f64 x) x) y))))
#s(approx z z)
#s(approx (* -4 z) (*.f64 #s(literal -4 binary64) z))
#s(approx (+ (* (* -4 z) y) (* x x)) (*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (*.f64 x x) z)) z))
#s(approx (+ (* (* -4 z) y) (* x x)) (*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (*.f64 x x) z)) z))
#s(approx (+ (* (* -4 z) y) (* x x)) (*.f64 (neg.f64 z) (fma.f64 #s(literal 4 binary64) y (/.f64 (*.f64 (neg.f64 x) x) z))))
#s(approx (+ (* (* -4 z) y) (* x x)) (*.f64 (neg.f64 z) (fma.f64 #s(literal 4 binary64) y (/.f64 (*.f64 (neg.f64 x) x) z))))

eval22.0ms (1.9%)

Memory
-8.2MiB live, 39.2MiB allocated; 6ms collecting garbage
Compiler

Compiled 3 057 to 389 computations (87.3% saved)

prune5.0ms (0.5%)

Memory
13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2160216
Fresh000
Picked033
Done000
Total2163219
Accuracy
100.0%
Counts
219 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
51.2%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
56.4%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Compiler

Compiled 81 to 49 computations (39.5% saved)

regimes14.0ms (1.2%)

Memory
-18.0MiB live, 29.0MiB allocated; 2ms 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 y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Outputs
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
Calls

7 calls:

2.0ms
(*.f64 x x)
2.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
99.6%1(*.f64 y #s(literal 4 binary64))
99.6%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
99.6%1(*.f64 x x)
99.6%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
99.6%1x
99.6%1y
99.6%1z
Compiler

Compiled 23 to 32 computations (-39.1% saved)

regimes9.0ms (0.8%)

Memory
22.5MiB live, 22.5MiB allocated; 0ms collecting garbage
Counts
2 → 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 y) #s(literal -4 binary64)))
Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Calls

7 calls:

1.0ms
(*.f64 y #s(literal 4 binary64))
1.0ms
z
1.0ms
x
1.0ms
y
1.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
AccuracySegmentsBranch
70.6%3(*.f64 y #s(literal 4 binary64))
74.9%3(*.f64 (*.f64 y #s(literal 4 binary64)) z)
89.4%2(*.f64 x x)
82.5%2(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
89.4%2x
70.6%3y
66.8%3z
Compiler

Compiled 23 to 32 computations (-39.1% saved)

regimes8.0ms (0.7%)

Memory
-28.9MiB live, 18.2MiB allocated; 2ms 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:

2.0ms
z
1.0ms
(*.f64 y #s(literal 4 binary64))
1.0ms
x
1.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
1.0ms
y
Results
AccuracySegmentsBranch
56.4%1z
56.4%1(*.f64 y #s(literal 4 binary64))
56.4%1y
56.4%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
56.4%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
56.4%1(*.f64 x x)
56.4%1x
Compiler

Compiled 23 to 32 computations (-39.1% saved)

bsearch6.0ms (0.5%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
5.0ms
2.438739952416761e-67
4.45929160850054e-67
Samples
3.0ms64×0valid
Compiler

Compiled 124 to 110 computations (11.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult!: 1.0ms (94.2% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

derivations21.0ms (1.8%)

Memory
29.0MiB live, 29.0MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 53 to 19 computations (64.2% saved)

preprocess23.0ms (2%)

Memory
-6.3MiB live, 42.8MiB allocated; 5ms collecting garbage
Remove

(sort y z)

(abs x)

Compiler

Compiled 400 to 224 computations (44% saved)

end0.0ms (0%)

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

Profiling

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