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

Time bar (total: 2.5s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample1.4s (58.5%)

Memory
-16.5MiB live, 1 313.0MiB allocated; 495ms collecting garbage
Samples
942.0ms7 625×0valid
44.0ms289×1valid
36.0ms204×2valid
32.0ms138×3valid
Precisions
Click to see histograms. Total time spent on operations: 509.0ms
ival-mult: 193.0ms (37.9% of total)
ival-div: 175.0ms (34.4% of total)
ival-sub: 87.0ms (17.1% of total)
adjust: 37.0ms (7.3% of total)
exact: 13.0ms (2.6% of total)
ival-assert: 4.0ms (0.8% of total)
Bogosity

explain221.0ms (9%)

Memory
-3.2MiB live, 147.9MiB allocated; 49ms 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
42.0ms476×0valid
2.0ms14×2valid
2.0ms16×1valid
1.0ms6×3valid
Compiler

Compiled 49 to 25 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 6.0ms (32.7% of total)
ival-mult: 5.0ms (27.2% of total)
ival-sub: 4.0ms (21.8% of total)
adjust: 2.0ms (10.9% of total)
ival-true: 1.0ms (5.4% of total)
exact: 1.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)

preprocess40.0ms (1.6%)

Memory
-6.7MiB live, 36.5MiB allocated; 16ms 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)

prune1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
Compiler

Compiled 7 to 7 computations (0% saved)

series6.0ms (0.3%)

Memory
12.8MiB live, 12.8MiB allocated; 0ms 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
2.0ms
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)
1.0ms
x
@-inf
((- x (* (/ 3 8) y)) x (* (/ 3 8) y) (/ 3 8) 3 8 y)
1.0ms
x
@inf
((- x (* (/ 3 8) y)) x (* (/ 3 8) y) (/ 3 8) 3 8 y)
1.0ms
y
@0
((- x (* (/ 3 8) y)) x (* (/ 3 8) y) (/ 3 8) 3 8 y)

rewrite216.0ms (8.7%)

Memory
-15.6MiB live, 126.5MiB allocated; 55ms 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))))

eval6.0ms (0.2%)

Memory
9.4MiB live, 9.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 452 to 101 computations (77.7% saved)

prune3.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB 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)
▶51.7%
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
▶49.1%
#s(approx (- x (* (/ 3 8) y)) x)
Compiler

Compiled 24 to 22 computations (8.3% saved)

series5.0ms (0.2%)

Memory
7.5MiB live, 7.5MiB 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))
1.0ms
x
@-inf
((- x (* (/ 3 8) y)) x (- x (* (/ 3 8) y)) (* -3/8 y) -3/8 y (+ (* y -3/8) x))
1.0ms
x
@inf
((- x (* (/ 3 8) y)) x (- x (* (/ 3 8) y)) (* -3/8 y) -3/8 y (+ (* y -3/8) x))
1.0ms
y
@0
((- x (* (/ 3 8) y)) x (- x (* (/ 3 8) y)) (* -3/8 y) -3/8 y (+ (* y -3/8) x))

rewrite124.0ms (5%)

Memory
18.1MiB live, 62.4MiB allocated; 22ms 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))))

eval7.0ms (0.3%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 592 to 112 computations (81.1% saved)

prune117.0ms (4.7%)

Memory
-38.3MiB live, 15.9MiB allocated; 33ms 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)
✓51.7%
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
✓49.1%
#s(approx (- x (* (/ 3 8) y)) x)
Compiler

Compiled 55 to 39 computations (29.1% saved)

regimes12.0ms (0.5%)

Memory
13.4MiB live, 13.4MiB 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:

3.0ms
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
3.0ms
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
3.0ms
x
3.0ms
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)

regimes9.0ms (0.4%)

Memory
11.2MiB live, 11.2MiB allocated; 0ms 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:

2.0ms
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
2.0ms
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
75.9%3(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
53.7%2(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
78.9%3x
75.9%3y
Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes92.0ms (3.7%)

Memory
-35.5MiB live, 10.7MiB allocated; 12ms 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:

86.0ms
(-.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
49.1%1(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
49.1%1(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
49.1%1y
49.1%1x
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch43.0ms (1.7%)

Memory
44.9MiB live, 44.9MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
9.729518817581625e-69
2.129080579826525e-63
18.0ms
-1.239659455191039e+28
-4.4766061070980334e+21
Samples
17.0ms259×0valid
2.0ms14×2valid
2.0ms14×1valid
0.0ms1×3valid
Compiler

Compiled 370 to 372 computations (-0.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 3.0ms (29.1% of total)
ival-sub: 3.0ms (29.1% of total)
ival-mult: 3.0ms (29.1% of total)
adjust: 1.0ms (9.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify51.0ms (2.1%)

Memory
-21.3MiB live, 22.2MiB allocated; 22ms 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 -44000000000000000000000 binary64)) #s(approx (- x (* (/ 3 8) y)) x) (if (<=.f64 x #s(literal 533569947205553/118571099379011784113736688648896417641748464297615937576404566024103044751294464 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 -44000000000000000000000 binary64)) #s(approx (- x (* (/ 3 8) y)) x) (if (<=.f64 x #s(literal 533569947205553/118571099379011784113736688648896417641748464297615937576404566024103044751294464 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)

derivations26.0ms (1%)

Memory
19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 50 to 18 computations (64% saved)

preprocess45.0ms (1.8%)

Memory
-10.2MiB live, 33.0MiB allocated; 19ms 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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