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

Time bar (total: 671.0ms)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB 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)

sample394.0ms (58.7%)

Memory
7.6MiB live, 145.8MiB allocated; 14ms collecting garbage
Samples
192.0ms7 629×74valid
10.0ms214×1184valid
7.0ms153×592valid
6.0ms116×2368valid
3.0ms84×296valid
2.0ms60×148valid
Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult!: 40.0ms (52.2% of total)
ival-sub!: 26.0ms (33.9% of total)
adjust: 10.0ms (13% of total)
Bogosity

explain52.0ms (7.8%)

Memory
-3.5MiB live, 30.5MiB allocated; 1ms 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
15.0ms478×74valid
1.0ms10×2368valid
1.0ms10×1184valid
0.0ms8×296valid
0.0ms4×592valid
0.0ms2×148valid
Compiler

Compiled 49 to 25 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult!: 3.0ms (60.9% of total)
ival-sub!: 2.0ms (40.6% of total)
adjust: 1.0ms (20.3% of total)

preprocess15.0ms (2.3%)

Memory
6.5MiB live, 6.5MiB 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
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0.2%)

Memory
-7.2MiB live, 0.3MiB allocated; 1ms 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)

series4.0ms (0.6%)

Memory
1.6MiB live, 1.6MiB 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
1.0ms
x
@0
((- 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)
1.0ms
x
@-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)

rewrite59.0ms (8.7%)

Memory
3.2MiB live, 11.1MiB allocated; 1ms 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))))

eval3.0ms (0.5%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 452 to 101 computations (77.7% saved)

prune2.0ms (0.3%)

Memory
-5.8MiB live, 1.9MiB allocated; 1ms 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)
▶51.6%
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
▶49.5%
#s(approx (- x (* (/ 3 8) y)) x)
Compiler

Compiled 24 to 22 computations (8.3% saved)

series3.0ms (0.4%)

Memory
1.9MiB live, 1.9MiB 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))
0.0ms
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))

rewrite53.0ms (8%)

Memory
-0.4MiB live, 7.2MiB allocated; 0ms 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))))

eval4.0ms (0.6%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 592 to 112 computations (81.1% saved)

prune3.0ms (0.5%)

Memory
-4.9MiB live, 3.0MiB 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)
✓51.6%
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
✓49.5%
#s(approx (- x (* (/ 3 8) y)) x)
Compiler

Compiled 55 to 39 computations (29.1% saved)

regimes7.0ms (1.1%)

Memory
6.8MiB live, 6.8MiB 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
x
2.0ms
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
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)

regimes6.0ms (0.9%)

Memory
-2.6MiB live, 6.2MiB allocated; 1ms 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)) (*.f64 #s(literal -3/8 binary64) y))
#s(approx (- x (* (/ 3 8) y)) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
Calls

4 calls:

2.0ms
y
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
x
Results
AccuracySegmentsBranch
79.3%3(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
59.5%3(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
73.3%3x
79.3%3y
Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes4.0ms (0.6%)

Memory
-2.1MiB live, 5.8MiB 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 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
1.0ms
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
49.5%1(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
49.5%1x
49.5%1(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
49.5%1y
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch19.0ms (2.9%)

Memory
-1.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
3.776062773099292e+24
4.231224791507293e+29
8.0ms
-1.5528423456966713e-41
-4.058920874675994e-45
Samples
6.0ms231×74valid
1.0ms16×1184valid
1.0ms17×592valid
0.0ms5×148valid
0.0ms3×296valid
Compiler

Compiled 350 to 352 computations (-0.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub!: 1.0ms (34.3% of total)
ival-mult!: 1.0ms (34.3% of total)
adjust: 0.0ms (0% of total)

simplify11.0ms (1.6%)

Memory
5.1MiB live, 5.1MiB 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 y #s(literal -8637291987892073/200867255532373784442745261542645325315275374222849104412672 binary64)) #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (if (<=.f64 y #s(literal 1549999999999999979364024320 binary64)) #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)
Outputs
(fma.f64 y #s(literal -3/8 binary64) x)
(if (<=.f64 y #s(literal -8637291987892073/200867255532373784442745261542645325315275374222849104412672 binary64)) #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (if (<=.f64 y #s(literal 1549999999999999979364024320 binary64)) #s(approx (- x (* (/ 3 8) y)) x) #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))))
(if (or (<=.f64 y #s(literal -8637291987892073/200867255532373784442745261542645325315275374222849104412672 binary64)) (not (<=.f64 y #s(literal 1549999999999999979364024320 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 (1.5%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 42 to 19 computations (54.8% saved)

preprocess19.0ms (2.8%)

Memory
-5.7MiB live, 11.3MiB allocated; 3ms collecting garbage
Compiler

Compiled 98 to 52 computations (46.9% saved)

end0.0ms (0%)

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

Profiling

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