Metrics for Statistics.Sample:robustSumVarWeighted from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.1MiB 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 8 computations (11.1% saved)

sample650.0ms (47.6%)

Memory

35.0MiB live, 924.7MiB allocated; 259ms collecting garbage

Samples

417.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 247.0ms

ival-mult!: 226.0ms (91.6% of total)

ival-add!: 19.0ms (7.7% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess90.0ms (6.6%)

Memory

-27.1MiB live, 60.4MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	77
1	103	71
2	288	71
3	561	71
4	773	71
5	1326	71
6	4659	71

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 x (.f64 (.f64 y z) z))

Symmetry

(abs z)

Compiler

Compiled 12 to 12 computations (0% saved)

series8.0ms (0.6%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Counts

6 → 11

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite135.0ms (9.9%)

Memory

-5.8MiB live, 89.8MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	163
0	47	153
1	246	153
0	1960	139
1	5915	139

Stop Event

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

Counts

17 → 32

Calls

Call 1

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

Outputs
(neg.f64 (-.f64 (.f64 (.f64 (neg.f64 y) z) z) x))
(fma.f64 (*.f64 z z) y x)
(fma.f64 (*.f64 z y) z x)
(fma.f64 z (*.f64 z y) x)
(fma.f64 y (*.f64 z z) x)
(-.f64 (.f64 (.f64 z z) y) (neg.f64 x))
(-.f64 x (.f64 (.f64 (neg.f64 y) z) z))
(+.f64 (.f64 (.f64 z z) y) x)
(+.f64 x (.f64 (neg.f64 (neg.f64 y)) (.f64 z z)))
(+.f64 x (.f64 (neg.f64 (.f64 (neg.f64 y) z)) z))
(+.f64 x (neg.f64 (.f64 (.f64 (neg.f64 y) z) z)))
(+.f64 x (.f64 (.f64 z z) y))
x
(.f64 (.f64 z z) y)
(.f64 (.f64 z y) z)
(.f64 z (.f64 z y))
(.f64 y (.f64 z z))
(*.f64 z y)
(*.f64 y z)
y
z
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
#s(approx (+ x (* (* y z) z)) (fma.f64 (*.f64 z y) z x))
#s(approx x x)
#s(approx (+ x (* (* y z) z)) (fma.f64 (/.f64 (.f64 (.f64 z z) y) x) x x))
#s(approx (+ x (* (* y z) z)) (fma.f64 (/.f64 (.f64 (.f64 z z) y) x) x x))
#s(approx (* y z) (*.f64 z y))
#s(approx y y)
#s(approx (+ x (* (* y z) z)) (*.f64 (fma.f64 z z (/.f64 x y)) y))
#s(approx (+ x (* (* y z) z)) (*.f64 (fma.f64 z z (/.f64 x y)) y))
#s(approx z z)
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (+.f64 (/.f64 x (*.f64 z z)) y) z) z))

eval2.0ms (0.2%)

Memory: 5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 114 to 66 computations (42.1% saved)

prune1.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	24	3	27

Accuracy

100.0%

Counts

27 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.0%	(fma.f64 (*.f64 z z) y x)
▶	99.9%	(fma.f64 (*.f64 z y) z x)
▶	44.6%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))

Compiler

Compiled 19 to 19 computations (0% saved)

series6.0ms (0.5%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Counts

9 → 12

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite145.0ms (10.6%)

Memory

-22.2MiB live, 67.2MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	191
0	56	172
1	292	172
0	2178	167
1	6831	167

Stop Event

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

Counts

21 → 87

Calls

Call 1

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

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

eval8.0ms (0.6%)

Memory: 19.5MiB live, 19.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 414 to 210 computations (49.3% saved)

prune4.0ms (0.3%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	89	4	93

Accuracy

100.0%

Counts

93 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.0%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
✓	44.6%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
▶	51.0%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))

Compiler

Compiled 28 to 28 computations (0% saved)

series8.0ms (0.6%)

Memory

-28.4MiB live, 15.9MiB allocated; 6ms collecting garbage

Counts

5 → 11

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	((+ x (* (* y z) z)) (* (* z y) z) (* z y) z y)
1.0ms	y	@	-inf	((+ x (* (* y z) z)) (* (* z y) z) (* z y) z y)
1.0ms	y	@	inf	((+ x (* (* y z) z)) (* (* z y) z) (* z y) z y)
1.0ms	z	@	inf	((+ x (* (* y z) z)) (* (* z y) z) (* z y) z y)
0.0ms	y	@	0	((+ x (* (* y z) z)) (* (* z y) z) (* z y) z y)

rewrite84.0ms (6.2%)

Memory

38.8MiB live, 140.3MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	174
0	47	164
1	246	164
0	1960	149
1	5916	149

Stop Event

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

Counts

16 → 20

Calls

Call 1

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

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

eval4.0ms (0.3%)

Memory: -41.8MiB live, 4.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 63 to 43 computations (31.7% saved)

prune1.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	10	1	11
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	10	5	15

Accuracy

100.0%

Counts

15 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.0%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
✓	44.6%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	51.0%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))
▶	51.1%	#s(approx (+ x (* (* y z) z)) x)

Compiler

Compiled 35 to 35 computations (0% saved)

series2.0ms (0.2%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

2 → 8

Calls

Call 1

Inputs
#s(approx (+ x (* (* y z) z)) x)
x

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

Calls

9 calls:

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

rewrite129.0ms (9.5%)

Memory

-32.1MiB live, 138.8MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	142
0	39	132
1	237	132
0	1952	118
1	5910	118

Stop Event

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

Counts

10 → 10

Calls

Call 1

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

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

eval1.0ms (0%)

Memory: 2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 38 to 25 computations (34.2% saved)

prune2.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	5	0	5
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	5	5	10

Accuracy

100.0%

Counts

10 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.0%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
✓	44.6%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	51.0%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))
✓	51.1%	#s(approx (+ x (* (* y z) z)) x)

Compiler

Compiled 58 to 53 computations (8.6% saved)

regimes13.0ms (1%)

Memory

2.5MiB live, 48.5MiB allocated; 2ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs
(fma.f64 (*.f64 z y) z x)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`(.f64 (.f64 y z) z)`
99.9%	1	`(+.f64 x (.f64 (.f64 y z) z))`
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`

Compiler

Compiled 13 to 20 computations (-53.8% saved)

regimes9.0ms (0.7%)

Memory

-14.9MiB live, 31.9MiB allocated; 2ms collecting garbage

Counts

3 → 3

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(+.f64 x (.f64 (.f64 y z) z))
2.0ms	x
1.0ms	z
1.0ms	y
1.0ms	(.f64 (.f64 y z) z)

Results

Accuracy	Segments	Branch
89.4%	3	`(.f64 (.f64 y z) z)`
75.4%	3	`(+.f64 x (.f64 (.f64 y z) z))`
66.0%	3	`x`
65.3%	3	`y`
83.7%	2	`z`

Compiler

Compiled 13 to 20 computations (-53.8% saved)

regimes5.0ms (0.4%)

Memory

18.7MiB live, 18.7MiB 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 z) z)) x)

Outputs
#s(approx (+ x (* (* y z) z)) x)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
51.1%	1	`y`
51.1%	1	`x`
51.1%	1	`(+.f64 x (.f64 (.f64 y z) z))`
51.1%	1	`z`
51.1%	1	`(.f64 (.f64 y z) z)`

Compiler

Compiled 13 to 20 computations (-53.8% saved)

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2665520892447413e-60	1.7813851505968383e-47
0.0ms	-6.401408267787907e-112	-1.467001159730059e-116

Compiler

Compiled 9 to 12 computations (-33.3% saved)

derivations35.0ms (2.5%)

Memory

-24.9MiB live, 71.1MiB allocated; 8ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 23 to 19 computations (17.4% saved)

preprocess22.0ms (1.6%)

Memory: 28.9MiB live, 73.7MiB allocated; 7ms collecting garbage
Remove: (abs z)
Compiler: Compiled 95 to 85 computations (10.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample650.0ms (47.6%)

preprocess90.0ms (6.6%)

series8.0ms (0.6%)

rewrite135.0ms (9.9%)

eval2.0ms (0.2%)

prune1.0ms (0.1%)

series6.0ms (0.5%)

rewrite145.0ms (10.6%)

eval8.0ms (0.6%)

prune4.0ms (0.3%)

series8.0ms (0.6%)

rewrite84.0ms (6.2%)

eval4.0ms (0.3%)

prune1.0ms (0.1%)

series2.0ms (0.2%)

rewrite129.0ms (9.5%)

eval1.0ms (0%)

prune2.0ms (0.1%)

regimes13.0ms (1%)

regimes9.0ms (0.7%)

regimes5.0ms (0.4%)

bsearch0.0ms (0%)

derivations35.0ms (2.5%)

preprocess22.0ms (1.6%)

end0.0ms (0%)

Profiling