Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1

Time bar (total: 2.0s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample1.0s (51%)

Memory
3.4MiB live, 1 612.9MiB allocated; 323ms collecting garbage
Samples
656.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 325.0ms
ival-mult: 256.0ms (78.7% of total)
ival-sub: 52.0ms (16% of total)
exact: 11.0ms (3.4% of total)
adjust: 3.0ms (0.9% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain202.0ms (10%)

Memory
8.3MiB live, 291.7MiB allocated; 75ms 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)overflow63
(*.f64 (*.f64 y #s(literal 4 binary64)) z)overflow39
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
59.0ms512×0valid
Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 22.0ms (68.3% of total)
ival-sub: 9.0ms (27.9% 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)

preprocess52.0ms (2.6%)

Memory
15.6MiB live, 67.2MiB allocated; 31ms 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
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
2.1MiB live, 2.1MiB 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)

series12.0ms (0.6%)

Memory
-6.1MiB live, 42.1MiB allocated; 4ms 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
3.0ms
x
@0
((- (* x x) (* (* y 4) z)) (* x x) x (* (* y 4) z) (* y 4) y 4 z)
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)

rewrite85.0ms (4.2%)

Memory
-12.8MiB live, 177.0MiB allocated; 14ms 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))))

eval77.0ms (3.8%)

Memory
13.5MiB live, 49.6MiB allocated; 18ms collecting garbage
Compiler

Compiled 2 354 to 325 computations (86.2% saved)

prune5.0ms (0.3%)

Memory
20.9MiB live, 20.9MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1714175
Fresh000
Picked101
Done000
Total1724176
Accuracy
100.0%
Counts
176 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
99.2%
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
53.3%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
53.5%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Compiler

Compiled 44 to 36 computations (18.2% saved)

series50.0ms (2.5%)

Memory
-8.5MiB live, 32.4MiB allocated; 15ms collecting garbage
Counts
12 → 32
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)))
(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 (+ (* 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 (+ (* (* -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 (+ (* 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 (+ (* (* -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 (+ (* x x) (* (* z y) -4)) #s(hole binary64 (* y (+ (* -4 z) (/ (pow x 2) y)))))
#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 (+ (* x x) (* (* z y) -4)) #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 (+ (* x x) (* (* z y) -4)) #s(hole binary64 (* z (+ (* -4 y) (/ (pow x 2) z)))))
#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 (+ (* x x) (* (* z y) -4)) #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
42.0ms
x
@0
((- (* 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)) (+ (* (* -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 (+ (* x x) (* (* 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 (+ (* x x) (* (* 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 (+ (* x x) (* (* 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 (+ (* x x) (* (* z y) -4)) (+ (* (* -4 z) y) (* x x)) (* -4 z))

rewrite118.0ms (5.9%)

Memory
-3.0MiB live, 97.0MiB allocated; 47ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095598
0100571
1388571
02671556
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
44 → 372
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)))
(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 (+ (* 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 (+ (* (* -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 (+ (* 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 (+ (* (* -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 (+ (* x x) (* (* z y) -4)) #s(hole binary64 (* y (+ (* -4 z) (/ (pow x 2) y)))))
#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 (+ (* x x) (* (* z y) -4)) #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 (+ (* x x) (* (* z y) -4)) #s(hole binary64 (* z (+ (* -4 y) (/ (pow x 2) z)))))
#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 (+ (* x x) (* (* z y) -4)) #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 (+ (* x x) (* (* z y) -4)) (*.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)))
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(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 x x) #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (neg.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 (neg.f64 (neg.f64 x)) x))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.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 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 x (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (neg.f64 z) y)) #s(literal -4 binary64)))
(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 (neg.f64 (*.f64 (neg.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 #s(literal 4 binary64) y) z (*.f64 x x))) (/.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 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 #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 (*.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 64 binary64)) (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 (*.f64 x x) (*.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) z)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 4 binary64) y) z))
(-.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 #s(literal 4 binary64) y) z (*.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 #s(literal 4 binary64) y) z (*.f64 x x)) (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (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)))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 3 binary64)) (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)))))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 (neg.f64 z) y)) #s(literal -4 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 (neg.f64 (neg.f64 x)) x))
(+.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 x x))
(*.f64 #s(literal -4 binary64) z)
(*.f64 z #s(literal -4 binary64))
(neg.f64 (*.f64 z #s(literal 4 binary64)))
#s(approx (+ (* x x) (* (* z y) -4)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#s(approx (+ (* x x) (* (* z y) -4)) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ (* x x) (* (* z y) -4)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#s(approx (+ (* x x) (* (* z y) -4)) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))
#s(approx (+ (* x x) (* (* z y) -4)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#s(approx (+ (* x x) (* (* z y) -4)) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))
#s(approx (+ (* x x) (* (* z y) -4)) (*.f64 x x))
#s(approx (+ (* x x) (* (* z y) -4)) (*.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) (* (* z y) -4)) (*.f64 x x))
#s(approx (+ (* x x) (* (* z y) -4)) (*.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) (* (* z y) -4)) (*.f64 x x))
#s(approx (+ (* x x) (* (* z y) -4)) (*.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) (* (* z y) -4)) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.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) (* (* z y) -4)) (*.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (*.f64 x x) y)) y))
#s(approx (+ (* x x) (* (* z y) -4)) (*.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (*.f64 x x) y)) y))
#s(approx (+ (* x x) (* (* z y) -4)) (*.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (*.f64 x x) y)) y))
#s(approx (+ (* x x) (* (* z y) -4)) (*.f64 (neg.f64 y) (fma.f64 z #s(literal 4 binary64) (/.f64 (*.f64 (neg.f64 x) x) y))))
#s(approx (+ (* x x) (* (* z y) -4)) (*.f64 (neg.f64 y) (fma.f64 z #s(literal 4 binary64) (/.f64 (*.f64 (neg.f64 x) x) y))))
#s(approx (+ (* x x) (* (* z y) -4)) (*.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 (+ (* x x) (* (* z y) -4)) (*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (*.f64 x x) z)) z))
#s(approx (+ (* x x) (* (* z y) -4)) (*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (*.f64 x x) z)) z))
#s(approx (+ (* x x) (* (* z y) -4)) (*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (*.f64 x x) z)) z))
#s(approx (+ (* x x) (* (* z y) -4)) (*.f64 (neg.f64 z) (fma.f64 #s(literal 4 binary64) y (/.f64 (*.f64 (neg.f64 x) x) z))))
#s(approx (+ (* x x) (* (* z y) -4)) (*.f64 (neg.f64 z) (fma.f64 #s(literal 4 binary64) y (/.f64 (*.f64 (neg.f64 x) x) z))))
#s(approx (+ (* x x) (* (* z y) -4)) (*.f64 (neg.f64 z) (fma.f64 #s(literal 4 binary64) y (/.f64 (*.f64 (neg.f64 x) x) z))))

eval29.0ms (1.4%)

Memory
14.7MiB live, 59.8MiB allocated; 6ms collecting garbage
Compiler

Compiled 3 778 to 430 computations (88.6% saved)

prune13.0ms (0.6%)

Memory
-12.4MiB live, 30.0MiB allocated; 8ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2741275
Fresh000
Picked134
Done000
Total2754279
Accuracy
100.0%
Counts
279 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
99.2%
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
53.3%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
53.5%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Compiler

Compiled 44 to 36 computations (18.2% saved)

series5.0ms (0.3%)

Memory
13.0MiB live, 13.0MiB allocated; 0ms collecting garbage
Counts
6 → 13
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
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 (* (* -4 z) 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 (* -4 z) #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)) (* (* -4 z) y) (* -4 z) -4 z y)
1.0ms
z
@-inf
((- (* x x) (* (* y 4) z)) (* (* -4 z) y) (* -4 z) -4 z y)
1.0ms
y
@inf
((- (* x x) (* (* y 4) z)) (* (* -4 z) y) (* -4 z) -4 z y)
1.0ms
z
@0
((- (* x x) (* (* y 4) z)) (* (* -4 z) y) (* -4 z) -4 z y)
1.0ms
y
@-inf
((- (* x x) (* (* y 4) z)) (* (* -4 z) y) (* -4 z) -4 z y)

rewrite132.0ms (6.5%)

Memory
-28.0MiB live, 76.9MiB allocated; 80ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057233
060229
1236229
01852212
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
19 → 27
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
#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 (* (* -4 z) 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 (* -4 z) #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)) (*.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 #s(literal -4 binary64) z)
(*.f64 z #s(literal -4 binary64))
(neg.f64 (*.f64 z #s(literal 4 binary64)))
#s(literal -4 binary64)
z
y
#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) (* (* 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 (* (* -4 z) y) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#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 (* -4 z) (*.f64 #s(literal -4 binary64) z))
#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))))

eval2.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 425 to 81 computations (80.9% saved)

prune5.0ms (0.2%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New25025
Fresh000
Picked011
Done033
Total25429
Accuracy
100.0%
Counts
29 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
99.2%
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
53.3%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
53.5%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Compiler

Compiled 112 to 59 computations (47.3% saved)

regimes21.0ms (1%)

Memory
-15.0MiB live, 30.4MiB allocated; 5ms 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 #s(literal -4 binary64) z) y))
#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)))
(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:

7.0ms
x
2.0ms
z
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)

regimes13.0ms (0.6%)

Memory
23.1MiB live, 23.1MiB 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 #s(literal -4 binary64) z) y))
#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)))
Outputs
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Calls

7 calls:

2.0ms
x
2.0ms
z
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
y
2.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
AccuracySegmentsBranch
99.2%1(*.f64 y #s(literal 4 binary64))
99.2%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
99.2%1(*.f64 x x)
99.2%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
99.2%1x
99.2%1y
99.2%1z
Compiler

Compiled 23 to 32 computations (-39.1% saved)

regimes33.0ms (1.6%)

Memory
-24.5MiB live, 21.2MiB allocated; 4ms 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 #s(literal -4 binary64) z) 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 #s(literal -4 binary64) z) y))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Calls

7 calls:

23.0ms
x
2.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
2.0ms
z
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
y
Results
AccuracySegmentsBranch
66.7%3(*.f64 y #s(literal 4 binary64))
69.5%3(*.f64 (*.f64 y #s(literal 4 binary64)) z)
86.2%2(*.f64 x x)
81.5%2(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
86.2%2x
66.7%3y
71.0%3z
Compiler

Compiled 23 to 32 computations (-39.1% saved)

regimes8.0ms (0.4%)

Memory
16.5MiB live, 16.5MiB 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
y
1.0ms
x
1.0ms
(*.f64 y #s(literal 4 binary64))
1.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
1.0ms
z
Results
AccuracySegmentsBranch
53.5%1(*.f64 y #s(literal 4 binary64))
53.5%1y
53.5%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
53.5%1z
53.5%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
53.5%1(*.f64 x x)
53.5%1x
Compiler

Compiled 23 to 32 computations (-39.1% saved)

bsearch13.0ms (0.6%)

Memory
15.8MiB live, 15.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
4.896401280663828e-58
2.135075881683725e-55
Samples
7.0ms128×0valid
Compiler

Compiled 236 to 206 computations (12.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 3.0ms (87.2% of total)
ival-sub: 1.0ms (29.1% 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)

simplify43.0ms (2.1%)

Memory
-23.6MiB live, 27.0MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02161
13261
26961
315361
424461
529061
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(if (<=.f64 x #s(literal 2898733465652037/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) 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) z) y (*.f64 x x))
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(if (<=.f64 x #s(literal 2898733465652037/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

derivations48.0ms (2.4%)

Memory
17.5MiB live, 60.3MiB allocated; 9ms collecting garbage
Stop Event
done
Compiler

Compiled 61 to 21 computations (65.6% saved)

preprocess24.0ms (1.2%)

Memory
4.1MiB live, 46.9MiB allocated; 6ms 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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