Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1

Time bar (total: 1.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB 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)

sample1.1s (65.5%)

Memory
-3.6MiB live, 813.4MiB allocated; 285ms collecting garbage
Samples
840.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 291.0ms
ival-mult!: 272.0ms (93.4% of total)
ival-sub!: 18.0ms (6.2% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

explain87.0ms (5.3%)

Memory
3.2MiB live, 144.3MiB allocated; 37ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
40-0-(-.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-rescue40
(*.f64 x x)overflow70
(*.f64 (*.f64 y #s(literal 4 binary64)) z)overflow36
Confusion
Predicted +Predicted -
+40
-0252
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+400
-00252
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0252
14
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
26.0ms512×0valid
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 (82.4% of total)
ival-sub!: 1.0ms (11.8% of total)
adjust: 0.0ms (0% of total)

preprocess53.0ms (3.2%)

Memory
-8.8MiB live, 37.2MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03197
18893
222793
349890
463290
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
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Compiler

Compiled 9 to 8 computations (11.1% saved)

series9.0ms (0.5%)

Memory
19.6MiB live, 19.6MiB 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)

rewrite72.0ms (4.4%)

Memory
13.4MiB live, 68.0MiB allocated; 9ms 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))))

eval64.0ms (3.9%)

Memory
-27.2MiB live, 19.1MiB allocated; 3ms collecting garbage
Compiler

Compiled 2 354 to 325 computations (86.2% saved)

prune5.0ms (0.3%)

Memory
8.6MiB live, 8.6MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1723175
Fresh000
Picked101
Done000
Total1733176
Accuracy
100.0%
Counts
176 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
50.2%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
55.1%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Compiler

Compiled 36 to 29 computations (19.4% saved)

series7.0ms (0.4%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Counts
10 → 23
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 z y) #s(literal -4 binary64)))
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) (* (* z y) -4)) #s(hole binary64 (* -4 (* y z))))
#s(approx (+ (* x x) (* (* z y) -4)) #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) (* (* z y) -4)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* (* z y) -4)) #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 (+ (* x x) (* (* z y) -4)) #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) (* (* z y) -4)) #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) (* (* z y) -4)) #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) (* (* z y) -4)) #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) (* (* z y) -4)))
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) (* (* z y) -4)))
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) (* (* z y) -4)))
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) (* (* z y) -4)))
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) (* (* z y) -4)))

rewrite82.0ms (5%)

Memory
-1.4MiB live, 87.2MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082424
086402
1352402
02606392
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
33 → 207
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 z y) #s(literal -4 binary64)))
#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) (* (* z y) -4)) #s(hole binary64 (* -4 (* y z))))
#s(approx (+ (* x x) (* (* z y) -4)) #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) (* (* z y) -4)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* (* z y) -4)) #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 (+ (* x x) (* (* z y) -4)) #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) (* (* z y) -4)) #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) (* (* z y) -4)) #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) (* (* z y) -4)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))))
Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 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 (*.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 (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 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 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 (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(*.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 #s(literal 4 binary64) y) z))
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal -4 binary64)
(/.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 #s(literal 4 binary64) y) z (*.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 #s(literal 4 binary64) y) z) (fma.f64 (*.f64 #s(literal 4 binary64) y) z (*.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 (*.f64 z y) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))
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#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 z y) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#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 z y) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (fma.f64 (/.f64 (*.f64 z y) x) (/.f64 #s(literal -4 binary64) x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (fma.f64 (/.f64 (*.f64 z y) x) (/.f64 #s(literal -4 binary64) x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) z)) (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (* (* z y) -4) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#s(approx (* z y) (*.f64 z 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 (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 (- (* 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 (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))))
#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))))

eval29.0ms (1.8%)

Memory
4.2MiB live, 56.0MiB allocated; 9ms collecting garbage
Compiler

Compiled 3 149 to 365 computations (88.4% saved)

prune10.0ms (0.6%)

Memory
-22.6MiB live, 23.7MiB allocated; 3ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2180218
Fresh000
Picked033
Done000
Total2183221
Accuracy
100.0%
Counts
221 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
50.2%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
55.1%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Compiler

Compiled 81 to 48 computations (40.7% saved)

regimes12.0ms (0.8%)

Memory
27.9MiB live, 27.9MiB allocated; 0ms 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 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Outputs
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Calls

7 calls:

2.0ms
z
2.0ms
x
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
y
2.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
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)

regimes45.0ms (2.7%)

Memory
-23.0MiB live, 23.1MiB allocated; 4ms 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:

36.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
2.0ms
(*.f64 y #s(literal 4 binary64))
1.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
72.6%3(*.f64 y #s(literal 4 binary64))
74.8%3(*.f64 (*.f64 y #s(literal 4 binary64)) z)
87.4%2(*.f64 x x)
80.6%2(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
87.4%2x
72.6%3y
69.1%3z
Compiler

Compiled 23 to 32 computations (-39.1% saved)

regimes7.0ms (0.4%)

Memory
20.6MiB live, 20.6MiB 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
x
1.0ms
(*.f64 y #s(literal 4 binary64))
1.0ms
y
1.0ms
z
1.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
AccuracySegmentsBranch
55.1%1z
55.1%1(*.f64 y #s(literal 4 binary64))
55.1%1y
55.1%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
55.1%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
55.1%1(*.f64 x x)
55.1%1x
Compiler

Compiled 23 to 32 computations (-39.1% saved)

bsearch8.0ms (0.5%)

Memory
-26.1MiB live, 20.8MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
1.597627798977e+17
327123165393335940.0
Samples
3.0ms80×0valid
Compiler

Compiled 152 to 134 computations (11.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult!: 1.0ms (81.5% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

simplify12.0ms (0.7%)

Memory
26.5MiB live, 26.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01853
12953
26653
315053
424153
528753
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(if (<=.f64 x #s(literal 160000000000000000 binary64)) #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)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Outputs
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(if (<=.f64 x #s(literal 160000000000000000 binary64)) #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)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

derivations44.0ms (2.7%)

Memory
-34.8MiB live, 19.7MiB allocated; 41ms collecting garbage
Stop Event
done
Compiler

Compiled 53 to 18 computations (66% saved)

preprocess17.0ms (1%)

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

(sort y z)

(abs x)

Compiler

Compiled 156 to 80 computations (48.7% saved)

end0.0ms (0%)

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

Profiling

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