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

Time bar (total: 1.8s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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 11 computations (0% saved)

sample837.0ms (45.4%)

Memory
31.3MiB live, 1 074.4MiB allocated; 177ms collecting garbage
Samples
534.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 282.0ms
ival-div: 143.0ms (50.7% of total)
ival-mult: 75.0ms (26.6% of total)
ival-sub: 47.0ms (16.7% of total)
exact: 11.0ms (3.9% of total)
adjust: 3.0ms (1.1% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

explain252.0ms (13.7%)

Memory
64.8MiB live, 206.3MiB allocated; 111ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 8 binary64)
00-0-(/.f64 (*.f64 x y) #s(literal 2 binary64))
00-0-z
00-0-(*.f64 x y)
00-0-(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
00-0-(/.f64 z #s(literal 8 binary64))
00-0-#s(literal 2 binary64)
00-0-y
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
31.0ms512×0valid
Compiler

Compiled 63 to 31 computations (50.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 7.0ms (48.4% of total)
ival-mult: 4.0ms (27.7% of total)
ival-sub: 2.0ms (13.8% of total)
ival-true: 1.0ms (6.9% of total)
exact: 1.0ms (6.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess308.0ms (16.7%)

Memory
-21.4MiB live, 164.7MiB allocated; 92ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03499
15297
27193
311193
417793
536893
6173093
7588793
099
0139
1189
2249
3379
4659
51689
610479
755219
084259
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Symmetry

(sort x y)

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Compiler

Compiled 9 to 9 computations (0% saved)

series9.0ms (0.5%)

Memory
17.2MiB live, 17.2MiB allocated; 0ms collecting garbage
Counts
9 → 16
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
z
#s(literal 8 binary64)
Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1/8 z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (- (* 1/2 (* x y)) (* 1/8 z))))
#s(approx (/ (* x y) 2) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))))
#s(approx y #s(hole binary64 y))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y)))))
#s(approx (/ z 8) #s(hole binary64 (* 1/8 z)))
#s(approx z #s(hole binary64 z))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))))
Calls

9 calls:

TimeVariablePointExpression
2.0ms
y
@inf
((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) x y 2 (/ z 8) z 8)
1.0ms
x
@-inf
((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) x y 2 (/ z 8) z 8)
1.0ms
x
@0
((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) x y 2 (/ z 8) z 8)
1.0ms
y
@-inf
((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) x y 2 (/ z 8) z 8)
1.0ms
x
@inf
((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) x y 2 (/ z 8) z 8)

rewrite178.0ms (9.6%)

Memory
8.9MiB live, 106.7MiB allocated; 98ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067257
072254
1288254
02376247
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
25 → 50
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
z
#s(literal 8 binary64)
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1/8 z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (- (* 1/2 (* x y)) (* 1/8 z))))
#s(approx (/ (* x y) 2) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))))
#s(approx y #s(hole binary64 y))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y)))))
#s(approx (/ z 8) #s(hole binary64 (* 1/8 z)))
#s(approx z #s(hole binary64 z))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))))
Outputs
(/.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) z)) #s(literal 2 binary64)) #s(literal 8 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 z #s(literal 8 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64))) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y x) #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) z))) #s(literal -16 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 z #s(literal 8 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64))) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 y x) #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) z)) #s(literal 16 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64)))) (/.f64 (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 z #s(literal 8 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64))) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 z #s(literal 8 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64))) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 8 binary64)) #s(literal 16 binary64)) (/.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(*.f64 (/.f64 y #s(literal 2 binary64)) x)
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)))
(*.f64 y x)
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 (neg.f64 (neg.f64 z)) #s(literal 8 binary64))
(/.f64 (neg.f64 z) #s(literal -8 binary64))
(/.f64 z #s(literal 8 binary64))
(neg.f64 (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(neg.f64 (/.f64 z #s(literal -8 binary64)))
z
#s(literal 8 binary64)
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z)))
#s(approx (/ (* x y) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
#s(approx (* x y) (*.f64 y x))
#s(approx x x)
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (fma.f64 (/.f64 z x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 (/.f64 z x) #s(literal 1/8 binary64)))))
#s(approx y y)
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 z y) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z)))
#s(approx (/ z 8) (*.f64 #s(literal 1/8 binary64) z))
#s(approx z z)
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -1/2 binary64) #s(literal 1/8 binary64))))

eval5.0ms (0.3%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 726 to 157 computations (78.4% saved)

prune18.0ms (1%)

Memory
-22.9MiB live, 25.0MiB allocated; 4ms collecting garbage
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New48149
Fresh000
Picked101
Done000
Total49150
Accuracy
100.0%
Counts
50 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z)))
Compiler

Compiled 18 to 15 computations (16.7% saved)

series6.0ms (0.3%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Counts
9 → 24
Calls
Call 1
Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z
Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1/8 z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (- (* 1/2 (* x y)) (* 1/8 z))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1/8 z)))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y)))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))))
#s(approx y #s(hole binary64 y))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y)))))
#s(approx (* -1/8 z) #s(hole binary64 (* -1/8 z)))
#s(approx z #s(hole binary64 z))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x) 1/2 x y (* -1/8 z) -1/8 z)
1.0ms
x
@inf
((- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x) 1/2 x y (* -1/8 z) -1/8 z)
1.0ms
x
@0
((- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x) 1/2 x y (* -1/8 z) -1/8 z)
1.0ms
z
@-inf
((- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x) 1/2 x y (* -1/8 z) -1/8 z)
1.0ms
z
@inf
((- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x) 1/2 x y (* -1/8 z) -1/8 z)

rewrite83.0ms (4.5%)

Memory
-14.9MiB live, 78.1MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077428
079419
1313419
02498409
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
33 → 74
Calls
Call 1
Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1/8 z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (- (* 1/2 (* x y)) (* 1/8 z))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1/8 z)))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y)))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))))
#s(approx y #s(hole binary64 y))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y)))))
#s(approx (* -1/8 z) #s(hole binary64 (* -1/8 z)))
#s(approx z #s(hole binary64 z))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))))
Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) #s(literal 1/64 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal -1/2 binary64) x) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) z) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) z) (fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) z) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) z) (fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 (neg.f64 z) #s(literal 1/8 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 (neg.f64 z) #s(literal 1/8 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) (*.f64 (neg.f64 z) #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 z #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (*.f64 (neg.f64 z) #s(literal 1/8 binary64)))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 z) #s(literal 1/8 binary64)))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 z) #s(literal 1/8 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z))) (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal -1/2 binary64) x) y))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal -1/2 binary64) x) y))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) z) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) z) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (*.f64 (neg.f64 z) #s(literal -1/8 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 (neg.f64 y) (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) z) (fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) z) (fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (*.f64 (neg.f64 z) #s(literal 1/8 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
#s(literal 1/2 binary64)
x
y
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(neg.f64 (*.f64 #s(literal 1/8 binary64) z))
#s(literal -1/8 binary64)
z
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z)))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (fma.f64 (/.f64 z x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (*.f64 (fma.f64 (/.f64 z x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 (/.f64 z x) #s(literal 1/8 binary64)))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 (/.f64 z x) #s(literal 1/8 binary64)))))
#s(approx y y)
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 z y) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 z y) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z)))
#s(approx (* -1/8 z) (*.f64 #s(literal -1/8 binary64) z))
#s(approx z z)
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) z))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -1/2 binary64) #s(literal 1/8 binary64))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -1/2 binary64) #s(literal 1/8 binary64))))

eval7.0ms (0.4%)

Memory
13.0MiB live, 13.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 857 to 228 computations (87.7% saved)

prune71.0ms (3.9%)

Memory
3.9MiB live, 99.7MiB allocated; 6ms collecting garbage
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New72072
Fresh000
Picked011
Done000
Total72173
Accuracy
100.0%
Counts
73 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z)))
Compiler

Compiled 45 to 36 computations (20% saved)

regimes10.0ms (0.5%)

Memory
-27.3MiB live, 19.6MiB allocated; 1ms collecting garbage
Accuracy

Total -0.0b remaining (-∞%)

Threshold costs -0b (-∞%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z)))
Calls

7 calls:

2.0ms
(/.f64 z #s(literal 8 binary64))
1.0ms
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
1.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
100.0%1(/.f64 z #s(literal 8 binary64))
100.0%1(*.f64 x y)
100.0%1(/.f64 (*.f64 x y) #s(literal 2 binary64))
100.0%1(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
100.0%1x
100.0%1y
100.0%1z
Compiler

Compiled 23 to 33 computations (-43.5% saved)

simplify39.0ms (2.1%)

Memory
4.4MiB live, 50.7MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01518
12018
22618
34018
48018
541918
6363718
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z)))
Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z)))

derivations9.0ms (0.5%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 18 to 15 computations (16.7% saved)

preprocess11.0ms (0.6%)

Memory
19.9MiB live, 19.9MiB allocated; 0ms collecting garbage
Remove

(sort x y)

Compiler

Compiled 90 to 78 computations (13.3% saved)

end0.0ms (0%)

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

Profiling

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