Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, A

Time bar (total: 1.2s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
1×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 9 to 9 computations (0% saved)

sample727.0ms (62.9%)

Memory
13.6MiB live, 820.5MiB allocated; 322ms collecting garbage
Samples
481.0ms7 593×0valid
20.0ms144×3valid
13.0ms303×1valid
12.0ms216×2valid
Precisions
Click to see histograms. Total time spent on operations: 284.0ms
ival-mult!: 236.0ms (83% of total)
ival-sub!: 25.0ms (8.8% of total)
adjust: 23.0ms (8.1% of total)
Bogosity

explain58.0ms (5%)

Memory
9.1MiB live, 102.2MiB allocated; 7ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 8 binary64)
00-0-y
00-0-#s(literal 3 binary64)
00-0-(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
00-0-(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
00-0-(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
17.0ms464×0valid
1.0ms22×1valid
1.0ms16×2valid
1.0ms10×3valid
Compiler

Compiled 49 to 25 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult!: 3.0ms (56.9% of total)
ival-sub!: 2.0ms (37.9% of total)
adjust: 1.0ms (19% of total)

preprocess15.0ms (1.3%)

Memory
23.0MiB live, 23.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01734
13632
27832
314132
419332
520132
075
0115
1165
2235
3315
4395
0394
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
Outputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(fma.f64 #s(literal -3/8 binary64) y x)
Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
Compiler

Compiled 7 to 7 computations (0% saved)

series41.0ms (3.5%)

Memory
-45.2MiB live, 6.9MiB allocated; 6ms collecting garbage
Counts
7 → 11
Calls
Call 1
Inputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
x
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
#s(literal 3 binary64)
#s(literal 8 binary64)
y
Outputs
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -3/8 y)))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (- x (* 3/8 y))))
#s(approx x #s(hole binary64 x))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 x))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* x (+ 1 (* -3/8 (/ y x))))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -1 (* x (- (* 3/8 (/ y x)) 1)))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (+ x (* -3/8 y))))
#s(approx (* (/ 3 8) y) #s(hole binary64 (* 3/8 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* y (- (/ x y) 3/8))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -1 (* y (+ 3/8 (* -1 (/ x y)))))))
Calls

6 calls:

TimeVariablePointExpression
38.0ms
x
@-inf
((- x (* (/ 3 8) y)) x (* (/ 3 8) y) (/ 3 8) 3 8 y)
1.0ms
y
@inf
((- x (* (/ 3 8) y)) x (* (/ 3 8) y) (/ 3 8) 3 8 y)
1.0ms
y
@-inf
((- x (* (/ 3 8) y)) x (* (/ 3 8) y) (/ 3 8) 3 8 y)
0.0ms
x
@inf
((- x (* (/ 3 8) y)) x (* (/ 3 8) y) (/ 3 8) 3 8 y)
0.0ms
y
@0
((- x (* (/ 3 8) y)) x (* (/ 3 8) y) (/ 3 8) 3 8 y)

rewrite89.0ms (7.7%)

Memory
26.6MiB live, 105.4MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042126
046123
1162122
01219109
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
18 → 37
Calls
Call 1
Inputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
x
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
#s(literal 3 binary64)
#s(literal 8 binary64)
y
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -3/8 y)))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (- x (* 3/8 y))))
#s(approx x #s(hole binary64 x))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 x))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* x (+ 1 (* -3/8 (/ y x))))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -1 (* x (- (* 3/8 (/ y x)) 1)))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (+ x (* -3/8 y))))
#s(approx (* (/ 3 8) y) #s(hole binary64 (* 3/8 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* y (- (/ x y) 3/8))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -1 (* y (+ 3/8 (* -1 (/ x y)))))))
Outputs
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal -3/8 binary64) y) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 #s(literal -3/8 binary64) y x))) (neg.f64 (fma.f64 #s(literal 3/8 binary64) y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 3/8 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) y) (fma.f64 #s(literal 3/8 binary64) y x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) y) (-.f64 (*.f64 #s(literal -3/8 binary64) y) x) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 #s(literal -3/8 binary64) y x)) (fma.f64 #s(literal 3/8 binary64) y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 3/8 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 3/8 binary64) y) (fma.f64 #s(literal 3/8 binary64) y x) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y y) #s(literal 9/64 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -3/8 binary64) y) x))))
(/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -3/8 binary64) y) (-.f64 (*.f64 #s(literal -3/8 binary64) y) x) (*.f64 x x)))
(fma.f64 #s(literal -3/8 binary64) y x)
(fma.f64 y #s(literal -3/8 binary64) x)
(-.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 3/8 binary64) y) (fma.f64 #s(literal 3/8 binary64) y x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 #s(literal 3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 3/8 binary64) y) (fma.f64 #s(literal 3/8 binary64) y x) (*.f64 x x))))
(-.f64 x (*.f64 (neg.f64 y) #s(literal -3/8 binary64)))
(-.f64 x (*.f64 #s(literal 3/8 binary64) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -3/8 binary64) y) (-.f64 (*.f64 #s(literal -3/8 binary64) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -3/8 binary64) y) (-.f64 (*.f64 #s(literal -3/8 binary64) y) x) (*.f64 x x))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+.f64 x (*.f64 (neg.f64 y) #s(literal 3/8 binary64)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(*.f64 #s(literal 3/8 binary64) y)
(*.f64 y #s(literal 3/8 binary64))
(neg.f64 (*.f64 #s(literal -3/8 binary64) y))
#s(literal 3/8 binary64)
#s(literal 3 binary64)
#s(literal 8 binary64)
y
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
#s(approx (- x (* (/ 3 8) y)) (fma.f64 #s(literal -3/8 binary64) y x))
#s(approx x x)
#s(approx (- x (* (/ 3 8) y)) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -3/8 binary64) #s(literal 1 binary64)) x))
#s(approx (- x (* (/ 3 8) y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal 3/8 binary64) #s(literal -1 binary64))))
#s(approx (- x (* (/ 3 8) y)) (fma.f64 #s(literal -3/8 binary64) y x))
#s(approx (* (/ 3 8) y) (*.f64 #s(literal 3/8 binary64) y))
#s(approx y y)
#s(approx (- x (* (/ 3 8) y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 3/8 binary64)) y))
#s(approx (- x (* (/ 3 8) y)) (*.f64 (neg.f64 y) (-.f64 #s(literal 3/8 binary64) (/.f64 x y))))

eval4.0ms (0.3%)

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

Compiled 452 to 101 computations (77.7% saved)

prune2.0ms (0.2%)

Memory
4.4MiB live, 4.3MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New33336
Fresh000
Picked101
Done000
Total34337
Accuracy
100.0%
Counts
37 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 y #s(literal -3/8 binary64) x)
▶52.0%
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
▶49.9%
#s(approx (- x (* (/ 3 8) y)) x)
Compiler

Compiled 24 to 22 computations (8.3% saved)

series3.0ms (0.3%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Counts
7 → 18
Calls
Call 1
Inputs
#s(approx (- x (* (/ 3 8) y)) x)
x
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 #s(literal -3/8 binary64) y)
#s(literal -3/8 binary64)
y
(fma.f64 y #s(literal -3/8 binary64) x)
Outputs
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -3/8 y)))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (- x (* 3/8 y))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (* -3/8 y)))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (+ x (* -3/8 y))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 x))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* x (+ 1 (* -3/8 (/ y x))))))
#s(approx (+ (* y -3/8) x) #s(hole binary64 x))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (* x (+ 1 (* -3/8 (/ y x))))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -1 (* x (- (* 3/8 (/ y x)) 1)))))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (* -1 (* x (- (* 3/8 (/ y x)) 1)))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (+ x (* -3/8 y))))
#s(approx (* -3/8 y) #s(hole binary64 (* -3/8 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* y (- (/ x y) 3/8))))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (* y (- (/ x y) 3/8))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -1 (* y (+ 3/8 (* -1 (/ x y)))))))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (* -1 (* y (+ 3/8 (* -1 (/ x y)))))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((- x (* (/ 3 8) y)) x (- x (* (/ 3 8) y)) (* -3/8 y) -3/8 y (+ (* y -3/8) x))
1.0ms
y
@inf
((- x (* (/ 3 8) y)) x (- x (* (/ 3 8) y)) (* -3/8 y) -3/8 y (+ (* y -3/8) x))
0.0ms
x
@-inf
((- x (* (/ 3 8) y)) x (- x (* (/ 3 8) y)) (* -3/8 y) -3/8 y (+ (* y -3/8) x))
0.0ms
x
@inf
((- x (* (/ 3 8) y)) x (- x (* (/ 3 8) y)) (* -3/8 y) -3/8 y (+ (* y -3/8) x))
0.0ms
y
@0
((- x (* (/ 3 8) y)) x (- x (* (/ 3 8) y)) (* -3/8 y) -3/8 y (+ (* y -3/8) x))

rewrite59.0ms (5.1%)

Memory
18.2MiB live, 62.5MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051221
051202
1182200
01303196
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
25 → 48
Calls
Call 1
Inputs
#s(approx (- x (* (/ 3 8) y)) x)
x
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 #s(literal -3/8 binary64) y)
#s(literal -3/8 binary64)
y
(fma.f64 y #s(literal -3/8 binary64) x)
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -3/8 y)))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (- x (* 3/8 y))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (* -3/8 y)))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (+ x (* -3/8 y))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 x))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* x (+ 1 (* -3/8 (/ y x))))))
#s(approx (+ (* y -3/8) x) #s(hole binary64 x))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (* x (+ 1 (* -3/8 (/ y x))))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -1 (* x (- (* 3/8 (/ y x)) 1)))))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (* -1 (* x (- (* 3/8 (/ y x)) 1)))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (+ x (* -3/8 y))))
#s(approx (* -3/8 y) #s(hole binary64 (* -3/8 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* y (- (/ x y) 3/8))))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (* y (- (/ x y) 3/8))))
#s(approx (- x (* (/ 3 8) y)) #s(hole binary64 (* -1 (* y (+ 3/8 (* -1 (/ x y)))))))
#s(approx (+ (* y -3/8) x) #s(hole binary64 (* -1 (* y (+ 3/8 (* -1 (/ x y)))))))
Outputs
#s(approx (- x (* (/ 3 8) y)) x)
x
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 #s(literal -3/8 binary64) y)
(*.f64 y #s(literal -3/8 binary64))
(neg.f64 (*.f64 y #s(literal 3/8 binary64)))
#s(literal -3/8 binary64)
y
(/.f64 (neg.f64 (*.f64 (fma.f64 y #s(literal 3/8 binary64) x) (fma.f64 #s(literal -3/8 binary64) y x))) (neg.f64 (fma.f64 y #s(literal 3/8 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 9/64 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 #s(literal -3/8 binary64) y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y #s(literal 3/8 binary64)) (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) y) (-.f64 (*.f64 #s(literal -3/8 binary64) y) x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 9/64 binary64) (*.f64 x (fma.f64 y #s(literal 3/8 binary64) x)))))
(/.f64 (*.f64 (fma.f64 y #s(literal 3/8 binary64) x) (fma.f64 #s(literal -3/8 binary64) y x)) (fma.f64 y #s(literal 3/8 binary64) x))
(/.f64 (fma.f64 (*.f64 y y) #s(literal 9/64 binary64) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal -3/8 binary64) y) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal 3/8 binary64)) (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -3/8 binary64) y) (-.f64 (*.f64 #s(literal -3/8 binary64) y) x) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y y) #s(literal 9/64 binary64) (*.f64 x (fma.f64 y #s(literal 3/8 binary64) x))))
(fma.f64 #s(literal -3/8 binary64) y x)
(fma.f64 y #s(literal -3/8 binary64) x)
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y #s(literal 3/8 binary64) x)) (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)) (fma.f64 y #s(literal 3/8 binary64) x)))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -3/8 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -3/8 binary64) y) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y #s(literal 3/8 binary64)) (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 y #s(literal 3/8 binary64)) (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 x x))))
(-.f64 x (*.f64 (neg.f64 y) #s(literal -3/8 binary64)))
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -3/8 binary64) y) (-.f64 (*.f64 #s(literal -3/8 binary64) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -3/8 binary64) y) (-.f64 (*.f64 #s(literal -3/8 binary64) y) x) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 9/64 binary64) (*.f64 x (fma.f64 y #s(literal 3/8 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 9/64 binary64) (*.f64 x (fma.f64 y #s(literal 3/8 binary64) x)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+.f64 x (*.f64 (neg.f64 y) #s(literal 3/8 binary64)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
#s(approx (- x (* (/ 3 8) y)) (fma.f64 #s(literal -3/8 binary64) y x))
#s(approx x x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
#s(approx (- x (* (/ 3 8) y)) (fma.f64 #s(literal -3/8 binary64) y x))
#s(approx (- x (* (/ 3 8) y)) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -3/8 binary64) #s(literal 1 binary64)) x))
#s(approx (- x (* (/ 3 8) y)) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -3/8 binary64) #s(literal 1 binary64)) x))
#s(approx (- x (* (/ 3 8) y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal 3/8 binary64) #s(literal -1 binary64))))
#s(approx (- x (* (/ 3 8) y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal 3/8 binary64) #s(literal -1 binary64))))
#s(approx (- x (* (/ 3 8) y)) (fma.f64 #s(literal -3/8 binary64) y x))
#s(approx (* -3/8 y) (*.f64 #s(literal -3/8 binary64) y))
#s(approx y y)
#s(approx (- x (* (/ 3 8) y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 3/8 binary64)) y))
#s(approx (- x (* (/ 3 8) y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 3/8 binary64)) y))
#s(approx (- x (* (/ 3 8) y)) (*.f64 (neg.f64 y) (-.f64 #s(literal 3/8 binary64) (/.f64 x y))))
#s(approx (- x (* (/ 3 8) y)) (*.f64 (neg.f64 y) (-.f64 #s(literal 3/8 binary64) (/.f64 x y))))

eval24.0ms (2.1%)

Memory
-43.6MiB live, 15.8MiB allocated; 20ms collecting garbage
Compiler

Compiled 592 to 112 computations (81.1% saved)

prune3.0ms (0.3%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New43043
Fresh000
Picked033
Done000
Total43346
Accuracy
100.0%
Counts
46 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 y #s(literal -3/8 binary64) x)
✓52.0%
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
✓49.9%
#s(approx (- x (* (/ 3 8) y)) x)
Compiler

Compiled 55 to 39 computations (29.1% saved)

regimes8.0ms (0.7%)

Memory
21.9MiB live, 21.9MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- x (* (/ 3 8) y)) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(fma.f64 y #s(literal -3/8 binary64) x)
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
Outputs
(fma.f64 y #s(literal -3/8 binary64) x)
Calls

4 calls:

2.0ms
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
2.0ms
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
100.0%1(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
100.0%1(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
100.0%1x
100.0%1y
Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes49.0ms (4.3%)

Memory
-31.1MiB live, 16.6MiB allocated; 5ms collecting garbage
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (- x (* (/ 3 8) y)) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
Outputs
#s(approx (- x (* (/ 3 8) y)) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
#s(approx (- x (* (/ 3 8) y)) x)
Calls

4 calls:

45.0ms
y
1.0ms
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
1.0ms
x
1.0ms
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
Results
AccuracySegmentsBranch
78.7%3(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
61.0%5(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
79.2%3x
78.7%3y
Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes4.0ms (0.4%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- x (* (/ 3 8) y)) x)
Outputs
#s(approx (- x (* (/ 3 8) y)) x)
Calls

4 calls:

1.0ms
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
1.0ms
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
49.9%1(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
49.9%1(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
49.9%1y
49.9%1x
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch30.0ms (2.6%)

Memory
-18.3MiB live, 28.5MiB allocated; 2ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
1.4875763339251972e-38
2.2553890659245308e-36
7.0ms
-9.995253355792042e+93
-1.0816648506198311e+92
Samples
6.0ms209×0valid
0.0ms9×1valid
0.0ms6×2valid
Compiler

Compiled 290 to 292 computations (-0.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub!: 1.0ms (48.1% of total)
ival-mult!: 1.0ms (48.1% of total)
adjust: 0.0ms (0% of total)

simplify11.0ms (1%)

Memory
14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01936
12836
24536
37436
411036
512036
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 y #s(literal -3/8 binary64) x)
(if (<=.f64 x #s(literal -120000000000000002310473406021397443205560573777035021083263238079319916560322133115130609664 binary64)) #s(approx (- x (* (/ 3 8) y)) x) (if (<=.f64 x #s(literal 2244866514940267/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #s(approx (- x (* (/ 3 8) y)) x)))
#s(approx (- x (* (/ 3 8) y)) x)
Outputs
(fma.f64 y #s(literal -3/8 binary64) x)
(if (<=.f64 x #s(literal -120000000000000002310473406021397443205560573777035021083263238079319916560322133115130609664 binary64)) #s(approx (- x (* (/ 3 8) y)) x) (if (<=.f64 x #s(literal 2244866514940267/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #s(approx (- x (* (/ 3 8) y)) x)))
#s(approx (- x (* (/ 3 8) y)) x)

derivations10.0ms (0.9%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 50 to 18 computations (64% saved)

preprocess18.0ms (1.6%)

Memory
-14.7MiB live, 29.8MiB allocated; 3ms collecting garbage
Compiler

Compiled 114 to 50 computations (56.1% saved)

end0.0ms (0%)

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

Profiling

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