Metrics for Examples.Basics.BasicTests:f3 from sbv-4.4

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 6 computations (33.3% saved)

sample499.0ms (40.7%)

Memory

14.6MiB live, 869.7MiB allocated; 156ms collecting garbage

Samples

314.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult!: 56.0ms (61.8% of total)

ival-add!: 33.0ms (36.4% of total)

adjust: 2.0ms (2.2% of total)

Bogosity

preprocess66.0ms (5.4%)

Memory

-45.4MiB live, 53.5MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	69	36
2	223	36
3	827	36
4	1637	36
5	6877	36

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))

Symmetry

(sort x y)

Compiler

Compiled 10 to 8 computations (20% saved)

series3.0ms (0.3%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Counts

4 → 19

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 x y))
(+.f64 x y)
x
y

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

Calls

6 calls:

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

rewrite144.0ms (11.8%)

Memory

7.5MiB live, 196.7MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	323
0	89	287
1	496	277
0	4879	263

Stop Event

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

Counts

23 → 64

Calls

Call 1

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

Outputs
(*.f64 (fabs.f64 (fabs.f64 (+.f64 y x))) (fabs.f64 (fabs.f64 (+.f64 y x))))
(*.f64 (neg.f64 (fabs.f64 (+.f64 y x))) (neg.f64 (fabs.f64 (+.f64 y x))))
(*.f64 (neg.f64 (neg.f64 (+.f64 y x))) (neg.f64 (neg.f64 (+.f64 y x))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1 binary64)) (+.f64 y x))
(*.f64 (fabs.f64 (+.f64 y x)) (fabs.f64 (+.f64 y x)))
(*.f64 (neg.f64 (+.f64 y x)) (neg.f64 (+.f64 y x)))
(*.f64 (+.f64 y x) (+.f64 y x))
(pow.f64 (fabs.f64 (+.f64 y x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (+.f64 y x)) #s(literal 2 binary64))
(pow.f64 (+.f64 y x) #s(literal 2 binary64))
(/.f64 (.f64 (+.f64 y x) (.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y))
(/.f64 (.f64 (+.f64 y x) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) (-.f64 x y))
(/.f64 (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (+.f64 y x)) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 y x) x) (.f64 (+.f64 y x) x)) (.f64 (.f64 (+.f64 y x) y) (.f64 (+.f64 y x) y))) (-.f64 (.f64 (+.f64 y x) x) (.f64 (+.f64 y x) y)))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 y x) x) (.f64 (+.f64 y x) x) (-.f64 (.f64 (.f64 (+.f64 y x) y) (.f64 (+.f64 y x) y)) (.f64 (.f64 (+.f64 y x) x) (.f64 (+.f64 y x) y)))))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (+.f64 y x) (-.f64 x y))) (.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (.f64 (+.f64 y x) (-.f64 x y))) (.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 x y)))
(/.f64 (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (fma.f64 y (-.f64 y x) (.f64 x x))))
(neg.f64 (*.f64 (+.f64 y x) (neg.f64 (+.f64 y x))))
(neg.f64 (*.f64 (neg.f64 (+.f64 y x)) (+.f64 y x)))
(fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x))
(fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y))
(fma.f64 y (+.f64 y x) (*.f64 (+.f64 y x) x))
(fma.f64 x (+.f64 y x) (*.f64 (+.f64 y x) y))
(-.f64 (.f64 (+.f64 y x) x) (.f64 (neg.f64 (+.f64 y x)) y))
(-.f64 (.f64 (+.f64 y x) x) (.f64 (neg.f64 y) (+.f64 y x)))
(fabs.f64 (*.f64 (+.f64 y x) (+.f64 y x)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)))
(+.f64 (.f64 (+.f64 y x) y) (.f64 (+.f64 y x) x))
(+.f64 (.f64 (+.f64 y x) x) (.f64 (+.f64 y x) y))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (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 x x) x (.f64 (.f64 y y) y)) (fma.f64 y y (-.f64 (.f64 x x) (*.f64 y x))))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (fma.f64 y (-.f64 y x) (.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x 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 y)
x
y
#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 y x))
#s(approx x x)
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
#s(approx (* (+ x y) (+ x y)) (.f64 (.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64)) x) x))
#s(approx (* (+ x y) (+ x y)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) y) (.f64 y (/.f64 y x))) x)) x) x))
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
#s(approx (* (+ x y) (+ x y)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) y) (.f64 y (/.f64 y x))) x)) x) x))
#s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
#s(approx (* (+ x y) (+ x y)) (.f64 (.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 1 binary64)) y) y))
#s(approx (* (+ x y) (+ x y)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 x (/.f64 x y))) y)) y) y))
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
#s(approx (* (+ x y) (+ x y)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 x (/.f64 x y))) y)) y) y))
#s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))

eval5.0ms (0.4%)

Memory: 9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 517 to 176 computations (66% saved)

prune3.0ms (0.3%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	53	5	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	6	59

Accuracy

100.0%

Counts

59 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
▶	57.7%	(*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y))
▶	100.0%	#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
▶	56.6%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
▶	57.2%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶	55.4%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 89 to 76 computations (14.6% saved)

series9.0ms (0.7%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Counts

15 → 38

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((* (+ x y) (+ x y)) (+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) 2 x y (* x x) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (+ x y) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x))
2.0ms	x	@	-inf	((* (+ x y) (+ x y)) (+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) 2 x y (* x x) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (+ x y) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x))
1.0ms	x	@	inf	((* (+ x y) (+ x y)) (+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) 2 x y (* x x) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (+ x y) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x))
1.0ms	y	@	-inf	((* (+ x y) (+ x y)) (+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) 2 x y (* x x) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (+ x y) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x))
1.0ms	y	@	inf	((* (+ x y) (+ x y)) (+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) 2 x y (* x x) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (+ x y) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x))

rewrite199.0ms (16.2%)

Memory

-21.3MiB live, 214.1MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	687
0	160	621
1	761	611
0	6917	595

Stop Event

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

Counts

53 → 297

Calls

Call 1

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

Outputs
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) y) (fma.f64 #s(literal 2 binary64) x y))) (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) x) (.f64 (fma.f64 #s(literal 2 binary64) y x) x))) (-.f64 (.f64 y y) (.f64 (fma.f64 #s(literal 2 binary64) y x) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) y) (fma.f64 #s(literal 2 binary64) x y) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (.f64 y y)) (fma.f64 x x (.f64 y (-.f64 (+.f64 x x) y))))) (neg.f64 (fma.f64 x x (.f64 y (-.f64 (+.f64 x x) y)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) x) (fma.f64 #s(literal 2 binary64) y x)) x (.f64 (.f64 y y) (-.f64 (.f64 y y) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (.f64 y y)) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (.f64 x x)))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (fma.f64 #s(literal 2 binary64) x y)) y (.f64 (.f64 x x) (-.f64 (.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))))))
(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (.f64 y y)) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (.f64 x x))) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (.f64 x x)))
(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (.f64 y y)) (fma.f64 x x (.f64 y (-.f64 (+.f64 x x) y)))) (fma.f64 x x (.f64 y (-.f64 (+.f64 x x) y))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) y) (fma.f64 #s(literal 2 binary64) x y)) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) y) x) x))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (fma.f64 #s(literal 2 binary64) x y)) y (.f64 (.f64 x x) (-.f64 (.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))))
(/.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) x) (.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (.f64 (fma.f64 #s(literal 2 binary64) y x) (.f64 x (*.f64 y y))))))
(/.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) x) (fma.f64 #s(literal 2 binary64) y x)) x (.f64 (.f64 y y) (-.f64 (.f64 y y) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)))))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 #s(literal 1 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal 2 binary64) y x) x))
(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(fma.f64 (+.f64 x x) y (fma.f64 y y (*.f64 x x)))
(fma.f64 (+.f64 x x) y (-.f64 (.f64 y y) (.f64 (neg.f64 x) x)))
(fma.f64 (+.f64 y y) x (fma.f64 y y (*.f64 x x)))
(fma.f64 (+.f64 y y) x (-.f64 (.f64 y y) (.f64 (neg.f64 x) x)))
(fma.f64 (.f64 y x) #s(literal 2 binary64) (fma.f64 y y (.f64 x x)))
(fma.f64 (.f64 y x) #s(literal 2 binary64) (-.f64 (.f64 y y) (*.f64 (neg.f64 x) x)))
(fma.f64 (.f64 y y) #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) y x) x))
(fma.f64 #s(literal 2 binary64) (.f64 y x) (fma.f64 y y (.f64 x x)))
(fma.f64 #s(literal 2 binary64) (.f64 y x) (-.f64 (.f64 y y) (*.f64 (neg.f64 x) x)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x))
(fma.f64 y (+.f64 x x) (fma.f64 y y (*.f64 x x)))
(fma.f64 y (+.f64 x x) (-.f64 (.f64 y y) (.f64 (neg.f64 x) x)))
(fma.f64 y y (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y))
(fma.f64 x (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(fma.f64 x (+.f64 y y) (-.f64 (.f64 y y) (.f64 (neg.f64 x) x)))
(fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) x) (.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (fma.f64 x x (.f64 y (-.f64 (+.f64 x x) y)))) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (fma.f64 x x (.f64 y (-.f64 (+.f64 x x) y)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) y) (fma.f64 #s(literal 2 binary64) x y)) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (.f64 x x))))
(-.f64 (.f64 x x) (.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x y)) y))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) (fma.f64 #s(literal 2 binary64) x y)))
(-.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (.f64 (neg.f64 x) x))
(-.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) x) (.f64 (neg.f64 y) y))
(-.f64 (.f64 y y) (.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y x)) x))
(-.f64 (.f64 y y) (.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) y x)))
(+.f64 (fma.f64 y y (.f64 x x)) (.f64 (+.f64 x x) y))
(+.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x x) y))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) x) (fma.f64 #s(literal 2 binary64) y x)) x (.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 (fma.f64 #s(literal 2 binary64) y x) x))))) (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) x) (fma.f64 #s(literal 2 binary64) y x)) x (.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 (fma.f64 #s(literal 2 binary64) y x) x))))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (fma.f64 #s(literal 2 binary64) x y)) y (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 2 binary64) x y) y))))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (fma.f64 #s(literal 2 binary64) x y)) y (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 2 binary64) x y) y))))))
(+.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) y) (.f64 x x))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) x) (.f64 y y))
(+.f64 (.f64 (+.f64 x x) y) (fma.f64 y y (.f64 x x)))
(+.f64 (.f64 (+.f64 x x) y) (-.f64 (.f64 y y) (*.f64 (neg.f64 x) x)))
(+.f64 (.f64 y y) (.f64 (fma.f64 #s(literal 2 binary64) y x) x))
(/.f64 (-.f64 (.f64 (.f64 y y) y) (.f64 #s(literal -8 binary64) (.f64 (.f64 x x) x))) (fma.f64 y y (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 #s(literal -2 binary64) x) y))))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (-.f64 y x) x)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 y y))) (neg.f64 (-.f64 (+.f64 x x) y)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 8 binary64) (.f64 (.f64 y y) y))) (neg.f64 (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) y) (*.f64 y y))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 8 binary64) (.f64 (.f64 y y) y))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 y (-.f64 (-.f64 y x) x)))))
(/.f64 (-.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 (-.f64 y x) x))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 y y)) (-.f64 (+.f64 x x) y))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 8 binary64) (.f64 (.f64 y y) y)) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) y) (*.f64 y y)))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 8 binary64) (.f64 (.f64 y y) y)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 y (-.f64 (-.f64 y x) x))))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 x #s(literal 2 binary64) y)
(-.f64 (/.f64 (.f64 y y) (-.f64 (-.f64 y x) x)) (/.f64 (.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (-.f64 y x) x)))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (+.f64 x x) y)) (/.f64 (*.f64 y y) (-.f64 (+.f64 x x) y)))
(-.f64 y (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 y (*.f64 #s(literal -2 binary64) x))
(+.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) y) (.f64 y y))) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 8 binary64)) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) y) (*.f64 y y))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 y (-.f64 (-.f64 y x) x)))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 #s(literal 4 binary64) (.f64 x x) (*.f64 y (-.f64 (-.f64 y x) x)))))
(+.f64 (+.f64 x x) y)
(+.f64 (+.f64 y x) x)
(+.f64 y (*.f64 (neg.f64 x) #s(literal -2 binary64)))
(+.f64 y (+.f64 x x))
(+.f64 x (+.f64 y x))
#s(literal 2 binary64)
x
y
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
(*.f64 (fabs.f64 (fabs.f64 #s(approx (+ x y) y))) (fabs.f64 (fabs.f64 #s(approx (+ x y) y))))
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#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
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(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (+.f64 x x) y))
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#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
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#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y)))
#s(approx (+ (* 2 x) y) y)
#s(approx (+ (* 2 x) y) (fma.f64 #s(literal 2 binary64) x y))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (+ x y) (+.f64 y x))
#s(approx (* (+ (* 2 y) x) x) (*.f64 (+.f64 x x) y))
#s(approx (* (+ (* 2 y) x) x) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
#s(approx (+ (* 2 y) x) (+.f64 y y))
#s(approx (+ (* 2 y) x) (fma.f64 #s(literal 2 binary64) y x))
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 (/.f64 (+.f64 y y) x) x x) x))
#s(approx (* (+ x y) (+ x y)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) y) (.f64 y (/.f64 y x))) x)) x) x))
#s(approx (+ (* 2 x) y) (+.f64 x x))
#s(approx (+ (* 2 x) y) (*.f64 (+.f64 (/.f64 y x) #s(literal 2 binary64)) x))
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
#s(approx (* (+ (* 2 x) y) y) (*.f64 (fma.f64 y (/.f64 y x) (+.f64 y y)) x))
#s(approx (+ (* 2 y) x) (fma.f64 (/.f64 (+.f64 y y) x) x x))
#s(approx (* (+ x y) (+ x y)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) y) (.f64 y (/.f64 y x))) x)) x) x))
#s(approx (+ (* 2 x) y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 2 binary64))))
#s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))
#s(approx (* (+ (* 2 x) y) y) (.f64 (fma.f64 y (/.f64 y x) (neg.f64 (.f64 #s(literal -2 binary64) y))) x))
#s(approx (+ (* 2 y) x) (*.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal -1 binary64))))
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y)))
#s(approx (* (+ (* 2 x) y) y) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 (/.f64 (+.f64 x x) y) y y) y))
#s(approx (* (+ x y) (+ x y)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 x (/.f64 x y))) y)) y) y))
#s(approx (+ (* 2 x) y) (fma.f64 (/.f64 (+.f64 x x) y) y y))
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
#s(approx (* (+ (* 2 y) x) x) (*.f64 (fma.f64 x (/.f64 x y) (+.f64 x x)) y))
#s(approx (+ (* 2 y) x) (*.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) y))
#s(approx (* (+ x y) (+ x y)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 x (/.f64 x y))) y)) y) y))
#s(approx (+ (* 2 x) y) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))))
#s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))
#s(approx (* (+ (* 2 y) x) x) (.f64 (fma.f64 x (/.f64 x y) (neg.f64 (.f64 #s(literal -2 binary64) x))) y))
#s(approx (+ (* 2 y) x) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 2 binary64))))

eval38.0ms (3.1%)

Memory: -19.0MiB live, 83.9MiB allocated; 12ms collecting garbage
Compiler: Compiled 2 843 to 1 015 computations (64.3% saved)

prune6.0ms (0.5%)

Memory

20.7MiB live, 20.7MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	337	0	337
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	337	6	343

Accuracy

100.0%

Counts

343 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	57.7%	(*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y))
✓	100.0%	#s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)))
✓	56.6%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	57.2%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	55.4%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 82 to 59 computations (28% saved)

regimes11.0ms (0.9%)

Memory

-19.9MiB live, 26.7MiB allocated; 3ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(+.f64 x y)
2.0ms	x
2.0ms	y
2.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 x y)`
100.0%	1	`(*.f64 (+.f64 x y) (+.f64 x y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes8.0ms (0.7%)

Memory

27.6MiB live, 27.6MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Outputs
(*.f64 (+.f64 x y) (+.f64 x y))

Calls

4 calls:

2.0ms	(+.f64 x y)
2.0ms	y
2.0ms	x
2.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 x y)`
100.0%	1	`(*.f64 (+.f64 x y) (+.f64 x y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes10.0ms (0.8%)

Memory

-26.9MiB live, 19.7MiB allocated; 3ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(+.f64 x y)
2.0ms	y
2.0ms	x
2.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
98.6%	2	`(+.f64 x y)`
65.1%	4	`(*.f64 (+.f64 x y) (+.f64 x y))`
86.5%	2	`x`
86.2%	2	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes2.0ms (0.2%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
98.1%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes2.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
(*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y))

Outputs
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
(*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y))

Calls

1 calls:

1.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
97.8%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes4.0ms (0.3%)

Memory

15.8MiB live, 15.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Outputs
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Calls

4 calls:

1.0ms	(+.f64 x y)
1.0ms	y
1.0ms	x
1.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
55.4%	1	`(*.f64 (+.f64 x y) (+.f64 x y))`
55.4%	1	`y`
55.4%	1	`x`
55.4%	1	`(+.f64 x y)`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.921496440253965e-155	-2.119001883088637e-170

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.921496440253965e-155	-2.119001883088637e-170

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.921496440253965e-155	-2.119001883088637e-170

Compiler

Compiled 8 to 9 computations (-12.5% saved)

derivations131.0ms (10.7%)

Memory

8.3MiB live, 152.4MiB allocated; 10ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 44 to 24 computations (45.5% saved)

preprocess85.0ms (7%)

Memory: -18.2MiB live, 172.4MiB allocated; 9ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 199 to 148 computations (25.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample499.0ms (40.7%)

preprocess66.0ms (5.4%)

series3.0ms (0.3%)

rewrite144.0ms (11.8%)

eval5.0ms (0.4%)

prune3.0ms (0.3%)

series9.0ms (0.7%)

rewrite199.0ms (16.2%)

eval38.0ms (3.1%)

prune6.0ms (0.5%)

regimes11.0ms (0.9%)

regimes8.0ms (0.7%)

regimes10.0ms (0.8%)

regimes2.0ms (0.2%)

regimes2.0ms (0.1%)

regimes4.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations131.0ms (10.7%)

preprocess85.0ms (7%)

end0.0ms (0%)

Profiling