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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample482.0ms (30.3%)

Memory

19.6MiB live, 909.1MiB allocated; 188ms collecting garbage

Samples

301.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-mult!: 78.0ms (67% of total)

ival-add!: 37.0ms (31.8% of total)

adjust: 1.0ms (0.9% of total)

Bogosity

preprocess45.0ms (2.8%)

Memory

-33.0MiB live, 58.3MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	75	32
2	301	32
3	1052	32
4	2328	32

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 (0.2%)

Memory

9.9MiB live, 9.9MiB 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)

rewrite227.0ms (14.3%)

Memory

37.0MiB live, 266.3MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	323
0	89	283
1	572	261
2	5768	261
0	8153	249
1	30913	249

Stop Event

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

Counts

23 → 93

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

eval11.0ms (0.7%)

Memory: -19.6MiB live, 25.9MiB allocated; 8ms collecting garbage
Compiler: Compiled 447 to 170 computations (62% saved)

prune4.0ms (0.3%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	79	6	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	7	86

Accuracy

100.0%

Counts

86 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))
	97.3%	(fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
▶	57.5%	(*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y))
▶	56.2%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
▶	59.7%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶	56.3%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 93 to 82 computations (11.8% saved)

series12.0ms (0.8%)

Memory

-15.6MiB live, 30.2MiB allocated; 5ms collecting garbage

Counts

15 → 38

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite190.0ms (11.9%)

Memory

22.9MiB live, 271.5MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	694
0	161	630
1	862	574
0	8046	556
1	30848	556

Stop Event

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

Counts

53 → 300

Calls

Call 1

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

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

eval36.0ms (2.3%)

Memory: -19.7MiB live, 80.1MiB allocated; 16ms collecting garbage
Compiler: Compiled 1 566 to 626 computations (60% saved)

prune9.0ms (0.5%)

Memory

-24.4MiB live, 22.5MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	292	1	293
Fresh	1	0	1
Picked	0	5	5
Done	0	1	1
Total	293	7	300

Accuracy

100.0%

Counts

300 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	57.5%	(*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y))
▶	53.9%	#s(approx (* (+ x y) (+ x y)) (fma.f64 (+.f64 x y) x (*.f64 x y)))
✓	56.2%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	59.7%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	56.3%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 52 to 45 computations (13.5% saved)

series6.0ms (0.4%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Counts

6 → 24

Calls

Call 1

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

Calls

6 calls:

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

rewrite196.0ms (12.4%)

Memory

7.9MiB live, 241.4MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	424
0	102	379
1	631	352
2	6292	352
0	8817	331
1	28352	331

Stop Event

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

Counts

30 → 72

Calls

Call 1

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

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

eval6.0ms (0.4%)

Memory: 19.2MiB live, 19.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 334 to 184 computations (44.9% saved)

prune6.0ms (0.4%)

Memory

-42.6MiB live, 14.3MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	57	7	64

Accuracy

100.0%

Counts

64 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	57.5%	(*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y))
✓	53.9%	#s(approx (* (+ x y) (+ x y)) (fma.f64 (+.f64 x y) x (*.f64 x y)))
✓	56.2%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	59.7%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	56.3%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 90 to 68 computations (24.4% saved)

regimes12.0ms (0.7%)

Memory

33.6MiB live, 33.6MiB allocated; 0ms collecting garbage

Counts

8 → 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 (+.f64 x y) x (*.f64 x y)))
(fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))

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

Calls

4 calls:

3.0ms	(+.f64 x y)
3.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
3.0ms	y
3.0ms	x

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)

regimes12.0ms (0.8%)

Memory

-12.5MiB live, 33.9MiB allocated; 3ms collecting garbage

Counts

7 → 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 (+.f64 x y) x (*.f64 x y)))
(fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))

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

Calls

4 calls:

4.0ms	y
3.0ms	x
2.0ms	(+.f64 x 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)

regimes7.0ms (0.5%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms 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:

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

Results

Accuracy	Segments	Branch
99.0%	2	`(+.f64 x y)`
67.2%	5	`(*.f64 (+.f64 x y) (+.f64 x y))`
91.0%	2	`x`
89.9%	2	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.2%)

Memory

-42.1MiB live, 4.5MiB allocated; 2ms 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:

1.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
98.9%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes2.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB 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
98.2%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes4.0ms (0.3%)

Memory

16.3MiB live, 16.3MiB 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	y
1.0ms	(+.f64 x y)
1.0ms	x
1.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
56.3%	1	`(*.f64 (+.f64 x y) (+.f64 x y))`
56.3%	1	`y`
56.3%	1	`x`
56.3%	1	`(+.f64 x y)`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.93970722705667e-127	-4.309371100397972e-164

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.93970722705667e-127	-4.309371100397972e-164

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.93970722705667e-127	-4.309371100397972e-164

Compiler

Compiled 8 to 9 computations (-12.5% saved)

derivations217.0ms (13.6%)

Memory

-27.7MiB live, 269.5MiB allocated; 15ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 40 to 24 computations (40% saved)

preprocess99.0ms (6.2%)

Memory: -0.3MiB live, 190.9MiB allocated; 9ms collecting garbage
Compiler: Compiled 187 to 142 computations (24.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample482.0ms (30.3%)

preprocess45.0ms (2.8%)

series3.0ms (0.2%)

rewrite227.0ms (14.3%)

eval11.0ms (0.7%)

prune4.0ms (0.3%)

series12.0ms (0.8%)

rewrite190.0ms (11.9%)

eval36.0ms (2.3%)

prune9.0ms (0.5%)

series6.0ms (0.4%)

rewrite196.0ms (12.4%)

eval6.0ms (0.4%)

prune6.0ms (0.4%)

regimes12.0ms (0.7%)

regimes12.0ms (0.8%)

regimes7.0ms (0.5%)

regimes3.0ms (0.2%)

regimes2.0ms (0.1%)

regimes4.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations217.0ms (13.6%)

preprocess99.0ms (6.2%)

end0.0ms (0%)

Profiling