Metrics for Linear.Matrix:fromQuaternion from linear-1.19.1.3, B

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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 11 to 9 computations (18.2% saved)

sample997.0ms (71.4%)

Memory

26.1MiB live, 938.1MiB allocated; 854ms collecting garbage

Samples

735.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 274.0ms

ival-mult!: 248.0ms (90.6% of total)

ival-add!: 24.0ms (8.8% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess58.0ms (4.1%)

Memory

-24.0MiB live, 63.8MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	46
1	99	42
2	417	42
3	1628	42
4	6469	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.7%	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 14 to 14 computations (0% saved)

series7.0ms (0.5%)

Memory

26.4MiB live, 26.4MiB allocated; 0ms collecting garbage

Counts

7 → 16

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite117.0ms (8.4%)

Memory

-5.6MiB live, 138.4MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	273
0	66	226
1	331	225
0	2922	220

Stop Event

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

Counts

23 → 287

Calls

Call 1

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

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

eval25.0ms (1.8%)

Memory: 14.8MiB live, 61.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 623 to 679 computations (74.1% saved)

prune7.0ms (0.5%)

Memory

-30.7MiB live, 16.4MiB allocated; 2ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	275	4	279
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	276	4	280

Accuracy

100.0%

Counts

280 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 y x) (+.f64 x x))
▶	95.7%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 y x)))
▶	55.7%	#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (+.f64 y y) x))
▶	57.9%	#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (+.f64 x x) x))

Compiler

Compiled 31 to 31 computations (0% saved)

series10.0ms (0.7%)

Memory

22.0MiB live, 22.0MiB allocated; 0ms collecting garbage

Counts

14 → 23

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite45.0ms (3.2%)

Memory

-26.4MiB live, 70.3MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	392
0	107	347
0	482	346

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

37 → 100

Calls

Call 1

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

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

eval8.0ms (0.6%)

Memory: 18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 503 to 248 computations (50.7% saved)

prune4.0ms (0.3%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	77	4	81

Accuracy

100.0%

Counts

81 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 y x) (+.f64 x x))
✓	95.7%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 y x)))
✓	55.7%	#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (+.f64 y y) x))
✓	57.9%	#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (+.f64 x x) x))

Compiler

Compiled 59 to 54 computations (8.5% saved)

regimes12.0ms (0.8%)

Memory

-10.4MiB live, 34.6MiB allocated; 4ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	x
2.0ms	y
2.0ms	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
2.0ms	(+.f64 (.f64 x x) (.f64 x y))

Results

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

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes5.0ms (0.4%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
83.2%	4	`(+.f64 (.f64 x x) (.f64 x y))`
83.2%	4	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
82.6%	3	`x`
87.5%	3	`y`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes4.0ms (0.3%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
57.9%	1	`(+.f64 (.f64 x x) (.f64 x y))`
57.9%	1	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
57.9%	1	`x`
57.9%	1	`y`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch21.0ms (1.5%)

Memory

-4.8MiB live, 41.0MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.1151299030038275e-14	3.9183396117798355e-13
11.0ms	-9.746157719612485e+107	-4.90381540964127e+104

Samples

8.0ms

240×

valid

Compiler

Compiled 312 to 342 computations (-9.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult!: 3.0ms (81.1% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

derivations54.0ms (3.8%)

Memory

-0.1MiB live, 60.5MiB allocated; 37ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 26 to 21 computations (19.2% saved)

preprocess22.0ms (1.6%)

Memory: 4.3MiB live, 50.5MiB allocated; 7ms collecting garbage
Compiler: Compiled 33 to 28 computations (15.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample997.0ms (71.4%)

preprocess58.0ms (4.1%)

series7.0ms (0.5%)

rewrite117.0ms (8.4%)

eval25.0ms (1.8%)

prune7.0ms (0.5%)

series10.0ms (0.7%)

rewrite45.0ms (3.2%)

eval8.0ms (0.6%)

prune4.0ms (0.3%)

regimes12.0ms (0.8%)

regimes5.0ms (0.4%)

regimes4.0ms (0.3%)

bsearch21.0ms (1.5%)

derivations54.0ms (3.8%)

preprocess22.0ms (1.6%)

end0.0ms (0%)

Profiling