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

1.0MiB live, 1.0MiB 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)

sample614.0ms (61.8%)

Memory

1.8MiB live, 714.9MiB allocated; 175ms collecting garbage

Samples

413.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-add!: 106.0ms (61.4% of total)

ival-mult!: 66.0ms (38.2% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

preprocess98.0ms (9.9%)

Memory

-20.1MiB live, 31.5MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	32
1	73	30
2	281	30
3	2057	30
4	6298	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 (0.3%)

Memory

8.0MiB live, 8.0MiB 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)

rewrite76.0ms (7.6%)

Memory

12.9MiB live, 147.6MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	175
0	60	161
1	282	161
0	2346	153

Stop Event

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

Counts

21 → 66

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 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(.f64 (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x)) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1/2 binary64)) (-.f64 x y))
(/.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) (-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(/.f64 (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y))))
(/.f64 (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x)))
(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 #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 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x 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 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x x) #s(literal 1/4 binary64)))))
(+.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 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 y y (*.f64 x (neg.f64 y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 y (-.f64 y x) (.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (fma.f64 y y (-.f64 (.f64 x x) (*.f64 y x))))
(/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (fma.f64 y (-.f64 y x) (.f64 x x)))
(neg.f64 (-.f64 (neg.f64 y) x))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(-.f64 y (neg.f64 x))
(-.f64 x (neg.f64 y))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 y (-.f64 y x) (.f64 x x))))
(+.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 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))

eval6.0ms (0.6%)

Memory: 26.2MiB live, 26.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 396 to 175 computations (55.8% saved)

prune20.0ms (2.1%)

Memory

-23.2MiB live, 36.0MiB allocated; 21ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	3	58

Accuracy

100.0%

Counts

58 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
▶	54.3%	#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y))
▶	47.0%	#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 25 to 25 computations (0% saved)

series4.0ms (0.4%)

Memory

18.9MiB live, 18.8MiB 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	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	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))
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))

rewrite79.0ms (7.9%)

Memory

-23.7MiB live, 166.3MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	195
0	66	181
1	298	181
0	2452	173

Stop Event

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

Counts

23 → 81

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 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (* (/ 1 2) (+ x y)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
y
(.f64 (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(.f64 (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1/2 binary64)) (-.f64 y x))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1/2 binary64)) (-.f64 x y))
(/.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (.f64 y #s(literal 1/2 binary64)) (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(/.f64 (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) y))))
(/.f64 (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x #s(literal 1/2 binary64))))
(fma.f64 y #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 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) y))
(-.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 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))))
(+.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 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 y y) y) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 y y (fma.f64 x x (*.f64 y (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 y y (*.f64 x (neg.f64 y)))))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 y (-.f64 y x) (.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (fma.f64 y (-.f64 y x) (.f64 x x)))
(neg.f64 (-.f64 (neg.f64 x) y))
(neg.f64 (-.f64 (neg.f64 y) x))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(-.f64 y (neg.f64 x))
(-.f64 x (neg.f64 y))
(+.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 x (-.f64 x y) (.f64 y y))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 x (-.f64 x y) (.f64 y y))))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 y (-.f64 y x) (.f64 x x))))
(+.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 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y))

eval6.0ms (0.6%)

Memory: 21.6MiB live, 21.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 498 to 209 computations (58% saved)

prune5.0ms (0.5%)

Memory

-35.6MiB live, 10.9MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	70	3	73

Accuracy

100.0%

Counts

73 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
✓	54.3%	#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y))
✓	47.0%	#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 47 to 44 computations (6.4% saved)

regimes8.0ms (0.8%)

Memory

27.6MiB live, 27.6MiB allocated; 0ms 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:

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

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)

regimes8.0ms (0.8%)

Memory

-27.8MiB live, 18.7MiB allocated; 4ms 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:

4.0ms	(+.f64 x y)
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
97.9%	2	`(+.f64 x y)`
97.9%	2	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))`
79.2%	2	`x`
86.4%	2	`y`

Compiler

Compiled 12 to 14 computations (-16.7% saved)

regimes4.0ms (0.4%)

Memory

16.9MiB live, 16.9MiB 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	y
1.0ms	x
1.0ms	(+.f64 x y)

Results

Accuracy	Segments	Branch
47.0%	1	`x`
47.0%	1	`y`
47.0%	1	`(+.f64 x y)`
47.0%	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

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.455167986144549e-246	1.8360414343757743e-285

Compiler

Compiled 10 to 12 computations (-20% saved)

derivations25.0ms (2.5%)

Memory

2.4MiB live, 44.6MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 25 to 22 computations (12% saved)

preprocess37.0ms (3.7%)

Memory: 25.7MiB live, 70.8MiB allocated; 13ms collecting garbage
Remove: (sort x y)
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%)

sample614.0ms (61.8%)

preprocess98.0ms (9.9%)

series3.0ms (0.3%)

rewrite76.0ms (7.6%)

eval6.0ms (0.6%)

prune20.0ms (2.1%)

series4.0ms (0.4%)

rewrite79.0ms (7.9%)

eval6.0ms (0.6%)

prune5.0ms (0.5%)

regimes8.0ms (0.8%)

regimes8.0ms (0.8%)

regimes4.0ms (0.4%)

bsearch0.0ms (0%)

derivations25.0ms (2.5%)

preprocess37.0ms (3.7%)

end0.0ms (0%)

Profiling