Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, G

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

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample551.0ms (33.3%)

Memory

45.8MiB live, 640.9MiB allocated; 150ms collecting garbage

Samples

365.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-add!: 113.0ms (68.9% of total)

ival-mult!: 50.0ms (30.5% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

preprocess100.0ms (6%)

Memory

-15.5MiB live, 29.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	32
1	73	30
2	282	30
3	2043	30
4	6373	30

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))

Symmetry

(sort x y)

Compiler

Compiled 14 to 14 computations (0% saved)

series3.0ms (0.2%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Counts

7 → 14

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 x y)
x
y

Outputs
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* 1/2 y)))
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x))))))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((* (/ 1 2) (+ x y)) (/ 1 2) 1 2 (+ x y) x y)
1.0ms	y	@	inf	((* (/ 1 2) (+ x y)) (/ 1 2) 1 2 (+ x y) x y)
1.0ms	x	@	-inf	((* (/ 1 2) (+ x y)) (/ 1 2) 1 2 (+ x y) x y)
1.0ms	y	@	-inf	((* (/ 1 2) (+ x y)) (/ 1 2) 1 2 (+ x y) x y)
0.0ms	x	@	0	((* (/ 1 2) (+ x y)) (/ 1 2) 1 2 (+ x y) x y)

rewrite549.0ms (33.2%)

Memory

-23.5MiB live, 190.0MiB allocated; 218ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	175
0	60	129
1	286	129
2	2165	129
0	9278	129
1	30346	129

Stop Event

1×	saturated
1×	node-limit
1×	iter-limit

Counts

21 → 114

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 x y)
x
y
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* 1/2 y)))
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x))))))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Outputs
(.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64))) x)
(.f64 (.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) y)
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(.f64 (neg.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 y))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(.f64 y (.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 y (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(.f64 x (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(neg.f64 (.f64 (neg.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x)))
(neg.f64 (neg.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 y) (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 y) (.f64 #s(literal -1/2 binary64) (neg.f64 y)))
(fma.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) y (neg.f64 (.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) y (.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 x y) (.f64 #s(literal 1/2 binary64) y) (neg.f64 (.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (/.f64 x y) (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y))
(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (neg.f64 x) (.f64 #s(literal -1/2 binary64) (neg.f64 x)))
(fma.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) x (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 y x) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y x) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 x y) (neg.f64 (.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 x y) (.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 y (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (neg.f64 (.f64 #s(literal -1/2 binary64) y)))
(fma.f64 y (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) y))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x (.f64 (/.f64 y x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) x))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 x) (*.f64 (/.f64 y x) #s(literal 1/2 binary64))))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))
(-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) y))
(-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (neg.f64 y) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal -1/2 binary64) x))
(+.f64 (.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 y x))) (*.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(+.f64 (.f64 (neg.f64 y) (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (neg.f64 x)) (*.f64 #s(literal -1/2 binary64) (neg.f64 x)))
(+.f64 (.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 y)) (*.f64 #s(literal -1/2 binary64) (neg.f64 y)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 (.f64 #s(literal -1/2 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y x))) x)
(.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y))) y)
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 y))
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 y x)))
(*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x)
(.f64 y (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(.f64 x (.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
(neg.f64 (*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal -1 binary64))))
(neg.f64 (*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal -1 binary64))))
(neg.f64 (*.f64 (neg.f64 (+.f64 y x)) #s(literal 1 binary64)))
(neg.f64 (-.f64 (neg.f64 y) x))
(neg.f64 (neg.f64 (+.f64 y x)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 y) x) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(fma.f64 (/.f64 (neg.f64 x) y) (neg.f64 y) (*.f64 #s(literal -1 binary64) (neg.f64 y)))
(fma.f64 (/.f64 (neg.f64 y) x) (neg.f64 x) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(-.f64 y (*.f64 (neg.f64 y) (/.f64 x y)))
(-.f64 y (*.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 y (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 x) (/.f64 y x)))
(-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x))
(-.f64 x (neg.f64 y))
(+.f64 (.f64 (neg.f64 x) (/.f64 (neg.f64 y) x)) (.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (.f64 (neg.f64 y) (/.f64 (neg.f64 x) y)) (.f64 (neg.f64 y) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (neg.f64 y) x) (neg.f64 x)) (.f64 #s(literal -1 binary64) (neg.f64 x)))
(+.f64 (.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) (.f64 #s(literal -1 binary64) (neg.f64 y)))
(+.f64 y x)
(+.f64 x (neg.f64 (neg.f64 y)))
(+.f64 x y)
x
y
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 y x))
#s(approx x x)
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (+ x y) (+.f64 y x))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (+ x y) (+.f64 y x))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (+ x y) (+.f64 y x))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (+ x y) (+.f64 y x))

eval9.0ms (0.5%)

Memory: 14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 468 to 224 computations (52.1% saved)

prune3.0ms (0.2%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	3	102

Accuracy

100.0%

Counts

102 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
▶	50.8%	#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y))
▶	49.7%	#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 25 to 25 computations (0% saved)

series4.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Counts

9 → 14

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
y
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+.f64 y x)

Outputs
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* 1/2 y)))
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x))))))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y))))))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((* (/ 1 2) (+ x y)) (* 1/2 x) 1/2 x (* (/ 1 2) (+ x y)) (* 1/2 y) y (* (+ y x) 1/2) (+ y x))
1.0ms	x	@	inf	((* (/ 1 2) (+ x y)) (* 1/2 x) 1/2 x (* (/ 1 2) (+ x y)) (* 1/2 y) y (* (+ y x) 1/2) (+ y x))
1.0ms	y	@	-inf	((* (/ 1 2) (+ x y)) (* 1/2 x) 1/2 x (* (/ 1 2) (+ x y)) (* 1/2 y) y (* (+ y x) 1/2) (+ y x))
1.0ms	y	@	inf	((* (/ 1 2) (+ x y)) (* 1/2 x) 1/2 x (* (/ 1 2) (+ x y)) (* 1/2 y) y (* (+ y x) 1/2) (+ y x))
0.0ms	x	@	0	((* (/ 1 2) (+ x y)) (* 1/2 x) 1/2 x (* (/ 1 2) (+ x y)) (* 1/2 y) y (* (+ y x) 1/2) (+ y x))

rewrite233.0ms (14.1%)

Memory

4.8MiB live, 148.5MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	195
0	66	149
1	302	149
2	2247	149
0	9380	149
1	30804	149

Stop Event

1×	saturated
1×	node-limit
1×	iter-limit

Counts

23 → 136

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
y
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+.f64 y x)
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* 1/2 y)))
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x))))))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y))))))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (/ 1 2) (+ x y)) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Outputs
#s(approx (* (/ 1 2) (+ x y)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) y)
(.f64 (/.f64 x y) (.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
(.f64 y (.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 (neg.f64 (.f64 y (.f64 x #s(literal 1/2 binary64)))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) y)) (neg.f64 y))
(/.f64 (.f64 y (.f64 x #s(literal 1/2 binary64))) y)
(/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) y) y)
#s(literal 1/2 binary64)
x
#s(approx (* (/ 1 2) (+ x y)) (*.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) x)
(.f64 (/.f64 y x) (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 y x))
(*.f64 y #s(literal 1/2 binary64))
(.f64 x (.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(/.f64 (neg.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) x)) (neg.f64 x))
(/.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) x)
(/.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) x) x)
y
(.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64))) x)
(.f64 (.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) y)
(*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)))
(.f64 (neg.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 y))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(.f64 y (.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 y (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(.f64 x (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(neg.f64 (.f64 (neg.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x #s(literal 1/2 binary64))))
(neg.f64 (neg.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 y) (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 y) (.f64 #s(literal -1/2 binary64) (neg.f64 y)))
(fma.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) y (neg.f64 (.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) y (.f64 y #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x y) (.f64 y #s(literal 1/2 binary64)) (neg.f64 (.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (/.f64 x y) (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (neg.f64 x) (.f64 #s(literal -1/2 binary64) (neg.f64 x)))
(fma.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) x (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 y x) (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 y x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) (/.f64 x y) (neg.f64 (.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) (/.f64 x y) (.f64 y #s(literal 1/2 binary64)))
(fma.f64 y (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (neg.f64 (.f64 #s(literal -1/2 binary64) y)))
(fma.f64 y (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x (.f64 (/.f64 y x) #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal 1/2 binary64)))
(-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) x))
(-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (neg.f64 x) (*.f64 (/.f64 y x) #s(literal 1/2 binary64))))
(-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y))
(-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) y))
(-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 (neg.f64 y) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) x))
(+.f64 (.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 y x))) (*.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(+.f64 (.f64 (neg.f64 y) (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (neg.f64 x)) (*.f64 #s(literal -1/2 binary64) (neg.f64 x)))
(+.f64 (.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 y)) (*.f64 #s(literal -1/2 binary64) (neg.f64 y)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (neg.f64 (.f64 #s(literal -1/2 binary64) y)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64)))
(+.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y x))) x)
(.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y))) y)
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 y))
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 y x)))
(*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x)
(.f64 y (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(.f64 x (.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
(neg.f64 (*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal -1 binary64))))
(neg.f64 (*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal -1 binary64))))
(neg.f64 (*.f64 (neg.f64 (+.f64 y x)) #s(literal 1 binary64)))
(neg.f64 (-.f64 (neg.f64 x) y))
(neg.f64 (-.f64 (neg.f64 y) x))
(neg.f64 (neg.f64 (+.f64 y x)))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 y) x) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (/.f64 (neg.f64 x) y) (neg.f64 y) (*.f64 #s(literal -1 binary64) (neg.f64 y)))
(fma.f64 (/.f64 (neg.f64 y) x) (neg.f64 x) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(-.f64 y (*.f64 (neg.f64 y) (/.f64 x y)))
(-.f64 y (*.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 y (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 x) (/.f64 y x)))
(-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x))
(-.f64 x (neg.f64 y))
(+.f64 (.f64 (neg.f64 x) (/.f64 (neg.f64 y) x)) (.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (.f64 (neg.f64 y) (/.f64 (neg.f64 x) y)) (.f64 (neg.f64 y) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (neg.f64 y) x) (neg.f64 x)) (.f64 #s(literal -1 binary64) (neg.f64 x)))
(+.f64 (.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) (.f64 #s(literal -1 binary64) (neg.f64 y)))
(+.f64 y (neg.f64 (neg.f64 x)))
(+.f64 y x)
(+.f64 x (neg.f64 (neg.f64 y)))
(+.f64 x y)
#s(approx (* (/ 1 2) (+ x y)) (*.f64 y #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 x) (*.f64 x #s(literal 1/2 binary64)))
#s(approx x x)
#s(approx (+ y x) y)
#s(approx (+ y x) (+.f64 y x))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (+ y x) (+.f64 y x))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (+ y x) (+.f64 y x))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (+ y x) (+.f64 y x))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (+ y x) (+.f64 y x))

eval60.0ms (3.6%)

Memory: -20.8MiB live, 25.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 560 to 274 computations (51.1% saved)

prune4.0ms (0.2%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	121	3	124

Accuracy

100.0%

Counts

124 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
✓	50.8%	#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y))
✓	49.7%	#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 47 to 44 computations (6.4% saved)

regimes10.0ms (0.6%)

Memory

-19.4MiB live, 25.9MiB allocated; 4ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))

Outputs
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))

Calls

4 calls:

5.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
2.0ms	y
2.0ms	(+.f64 x y)
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 x y)`
100.0%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 12 to 14 computations (-16.7% saved)

regimes5.0ms (0.3%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y))

Outputs
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y))

Calls

4 calls:

1.0ms	y
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
1.0ms	x
1.0ms	(+.f64 x y)

Results

Accuracy	Segments	Branch
96.9%	2	`(+.f64 x y)`
96.9%	2	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))`
84.8%	2	`x`
84.3%	2	`y`

Compiler

Compiled 12 to 14 computations (-16.7% saved)

regimes4.0ms (0.3%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))

Outputs
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))

Calls

4 calls:

1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
1.0ms	x
1.0ms	(+.f64 x y)
1.0ms	y

Results

Accuracy	Segments	Branch
49.7%	1	`y`
49.7%	1	`x`
49.7%	1	`(+.f64 x y)`
49.7%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))`

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.0671215326787926e-268	7.230485200123353e-279

Compiler

Compiled 10 to 12 computations (-20% saved)

derivations95.0ms (5.8%)

Memory

-27.9MiB live, 111.3MiB allocated; 25ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 25 to 22 computations (12% saved)

preprocess24.0ms (1.5%)

Memory: 34.3MiB live, 80.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 108 to 99 computations (8.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample551.0ms (33.3%)

preprocess100.0ms (6%)

series3.0ms (0.2%)

rewrite549.0ms (33.2%)

eval9.0ms (0.5%)

prune3.0ms (0.2%)

series4.0ms (0.2%)

rewrite233.0ms (14.1%)

eval60.0ms (3.6%)

prune4.0ms (0.2%)

regimes10.0ms (0.6%)

regimes5.0ms (0.3%)

regimes4.0ms (0.3%)

bsearch0.0ms (0%)

derivations95.0ms (5.8%)

preprocess24.0ms (1.5%)

end0.0ms (0%)

Profiling