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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample696.0ms (56.8%)

Memory

-22.1MiB live, 932.8MiB allocated; 293ms collecting garbage

Samples

394.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-mult!: 85.0ms (79.9% of total)

ival-add!: 20.0ms (18.8% of total)

adjust: 2.0ms (1.9% of total)

Bogosity

explain74.0ms (6.1%)

Memory

17.7MiB live, 112.9MiB allocated; 5ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 (.f64 y z) z)`
-	-	`y`
-	-	`(*.f64 y z)`
-	-	`z`
-	-	`(+.f64 x (.f64 (.f64 y z) z))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

21.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult!: 5.0ms (73.7% of total)

ival-add!: 1.0ms (14.7% of total)

adjust: 0.0ms (0% of total)

preprocess12.0ms (1%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	77
1	89	73
2	193	73
3	402	73
4	582	73
5	751	73

Stop Event

1×

saturated

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 14 to 12 computations (14.3% saved)

series33.0ms (2.7%)

Memory

-36.9MiB live, 16.1MiB allocated; 4ms collecting garbage

Counts

6 → 13

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))
#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) z) #s(hole binary64 (* y (pow z 2))))
#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
24.0ms	x	@	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	@	0	((+ x (* (* y z) z)) x (* (* y z) z) (* y z) y z)
1.0ms	x	@	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)

rewrite83.0ms (6.8%)

Memory

4.5MiB live, 90.9MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	183
0	50	178
1	218	177
0	1581	163

Stop Event

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

Counts

19 → 40

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))
#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) z) #s(hole binary64 (* y (pow z 2))))
#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
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (*.f64 z z) y) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 z) (.f64 z y)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (.f64 (neg.f64 z) (.f64 z y))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.f64 (*.f64 z z) y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 z z) y) (-.f64 (.f64 (.f64 z z) y) x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64))) (-.f64 x (.f64 (*.f64 z z) y)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (*.f64 z z) y) x))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 z z) y) (-.f64 (.f64 (.f64 z z) y) x) (*.f64 x 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 x x) (-.f64 x (.f64 (.f64 z z) y))) (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z z) y))))
(-.f64 x (.f64 (neg.f64 z) (.f64 z y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 z z) y) (-.f64 (.f64 (.f64 z z) y) x) (.f64 x x))) (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 z z) y) (-.f64 (.f64 (.f64 z z) y) x) (.f64 x x))))
(+.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 (.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)) 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 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (.f64 z z) x) #s(literal -1 binary64))))
#s(approx (* (* y z) z) (.f64 (.f64 z z) y))
#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 (neg.f64 y) (neg.f64 (fma.f64 z z (/.f64 x y)))))
#s(approx z z)
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (+.f64 (/.f64 x (*.f64 z z)) y) z) z))

eval3.0ms (0.3%)

Memory: 6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 533 to 118 computations (77.9% saved)

prune2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	3	38

Accuracy

99.9%

Counts

38 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 z y) z x)
▶	48.7%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
▶	47.9%	#s(approx (+ x (* (* y z) z)) x)

Compiler

Compiled 28 to 21 computations (25% saved)

series6.0ms (0.5%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

9 → 22

Calls

Call 1

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

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 (+ (* (* z y) z) x) #s(hole binary64 (* y (pow z 2))))
#s(approx (+ (* (* z y) z) x) #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 (+ (* (* z y) z) x) #s(hole binary64 x))
#s(approx (+ (* (* z y) z) x) #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) z) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))))
#s(approx (* (* z z) y) #s(hole binary64 (* y (pow z 2))))
#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 (+ (* (* z y) z) x) #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 y) z) x) #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))))))
#s(approx (+ (* (* z y) z) x) #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 (+ x (* (* y z) z)) (* (* z z) y) (* z z) z y (+ (* (* z y) z) x) (* z y))
1.0ms	y	@	-inf	((+ x (* (* y z) z)) x (+ x (* (* y z) z)) (* (* z z) y) (* z z) z y (+ (* (* z y) z) x) (* z y))
1.0ms	z	@	inf	((+ x (* (* y z) z)) x (+ x (* (* y z) z)) (* (* z z) y) (* z z) z y (+ (* (* z y) z) x) (* z y))
1.0ms	y	@	inf	((+ x (* (* y z) z)) x (+ x (* (* y z) z)) (* (* z z) y) (* z z) z y (+ (* (* z y) z) x) (* z y))
1.0ms	y	@	0	((+ x (* (* y z) z)) x (+ x (* (* y z) z)) (* (* z z) y) (* z z) z y (+ (* (* z y) z) x) (* z y))

rewrite75.0ms (6.1%)

Memory

16.0MiB live, 50.0MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	344
0	66	322
1	257	320
0	1770	312

Stop Event

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

Counts

31 → 89

Calls

Call 1

Inputs
#s(approx (+ x (* (* y z) z)) x)
x
#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)
#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 (+ (* (* z y) z) x) #s(hole binary64 (* y (pow z 2))))
#s(approx (+ (* (* z y) z) x) #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 (+ (* (* z y) z) x) #s(hole binary64 x))
#s(approx (+ (* (* z y) z) x) #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) z) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))))
#s(approx (* (* z z) y) #s(hole binary64 (* y (pow z 2))))
#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 (+ (* (* z y) z) x) #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 y) z) x) #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))))))
#s(approx (+ (* (* z y) z) x) #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))
(.f64 (.f64 y (fabs.f64 z)) (fabs.f64 z))
(.f64 (.f64 (neg.f64 y) z) (neg.f64 z))
(.f64 (neg.f64 z) (.f64 (neg.f64 y) z))
(.f64 (fabs.f64 z) (.f64 (fabs.f64 z) y))
(.f64 (.f64 z y) z)
(.f64 (.f64 z z) y)
(.f64 z (.f64 z y))
(.f64 y (.f64 z 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) (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) z) (*.f64 #s(literal 1 binary64) z))
(.f64 (.f64 #s(literal 1 binary64) z) z)
(*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)))
(*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)))
(*.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))
(*.f64 (neg.f64 z) (neg.f64 z))
(*.f64 (fabs.f64 z) (fabs.f64 z))
(.f64 #s(literal 1 binary64) (.f64 z z))
(.f64 (.f64 z z) #s(literal 1 binary64))
(*.f64 z z)
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64))
(pow.f64 (neg.f64 z) #s(literal 2 binary64))
(pow.f64 (fabs.f64 z) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 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))
(fabs.f64 (*.f64 z z))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 z) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))))
z
y
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) z) z) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (.f64 (.f64 (neg.f64 y) z) z)))))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (.f64 (.f64 z z) y) x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.f64 (*.f64 z z) y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 z z) y))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 z z) y) (-.f64 (.f64 (.f64 z z) y) x) (*.f64 x x))))
(/.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z z) y) x))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64))) (-.f64 x (.f64 (*.f64 z z) y)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 z z) y)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 z z) y) (-.f64 (.f64 (.f64 z z) y) x) (*.f64 x 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 (neg.f64 z) (*.f64 (neg.f64 y) z) x)
(fma.f64 (fabs.f64 z) (*.f64 (fabs.f64 z) y) x)
(fma.f64 (*.f64 z y) z x)
(fma.f64 (*.f64 z z) y x)
(fma.f64 z (*.f64 z y) x)
(fma.f64 y (*.f64 z z) x)
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z z) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 z z) y) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 z z) y))) (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z z) y))))
(-.f64 x (.f64 (.f64 (neg.f64 y) z) z))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 z z) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 z z) y))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 z z) y) (-.f64 (.f64 (.f64 z z) y) x) (.f64 x x))) (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 z z) y) (-.f64 (.f64 (.f64 z z) y) x) (.f64 x x))))
(+.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 (.f64 (.f64 z z) y))
(*.f64 z y)
(*.f64 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)) (.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)) 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 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (.f64 z z) x) #s(literal -1 binary64))))
#s(approx (+ x (* (* y z) z)) (.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (.f64 z z) x) #s(literal -1 binary64))))
#s(approx (* (* z z) y) (.f64 (.f64 z z) y))
#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 (+ x (* (* y z) z)) (*.f64 (neg.f64 y) (neg.f64 (fma.f64 z z (/.f64 x y)))))
#s(approx (+ x (* (* y z) z)) (*.f64 (neg.f64 y) (neg.f64 (fma.f64 z z (/.f64 x 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))
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (+.f64 (/.f64 x (*.f64 z z)) y) z) z))

eval7.0ms (0.6%)

Memory: 11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 203 to 244 computations (79.7% saved)

prune34.0ms (2.8%)

Memory

-38.9MiB live, 21.0MiB allocated; 11ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	74	4	78

Accuracy

99.9%

Counts

78 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 z y) z x)
✓	48.7%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
▶	54.1%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))
✓	47.9%	#s(approx (+ x (* (* y z) z)) x)

Compiler

Compiled 41 to 30 computations (26.8% saved)

series5.0ms (0.4%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Counts

5 → 12

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) z) #s(hole binary64 (* y (pow z 2))))
#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
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)
1.0ms	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	@	0	((+ x (* (* y z) z)) (* (* z y) z) (* z y) z y)

rewrite72.0ms (5.8%)

Memory

20.9MiB live, 104.3MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	185
0	50	180
1	219	179
0	1582	165

Stop Event

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

Counts

17 → 21

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

eval10.0ms (0.8%)

Memory: -35.9MiB live, 6.6MiB allocated; 13ms collecting garbage
Compiler: Compiled 225 to 57 computations (74.7% saved)

prune2.0ms (0.2%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	14	4	18

Accuracy

99.9%

Counts

18 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 z y) z x)
✓	48.7%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	54.1%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))
✓	47.9%	#s(approx (+ x (* (* y z) z)) x)

Compiler

Compiled 89 to 47 computations (47.2% saved)

regimes39.0ms (3.2%)

Memory

2.2MiB live, 50.7MiB allocated; 31ms collecting garbage

Counts

5 → 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)
(+.f64 x (.f64 (.f64 y z) z))

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

Calls

5 calls:

30.0ms	(.f64 (.f64 y z) z)
2.0ms	x
2.0ms	z
2.0ms	y
2.0ms	(+.f64 x (.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 15 to 20 computations (-33.3% saved)

regimes8.0ms (0.6%)

Memory

32.3MiB live, 32.3MiB allocated; 0ms 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:

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

Results

Accuracy	Segments	Branch
90.7%	3	`(.f64 (.f64 y z) z)`
74.9%	3	`(+.f64 x (.f64 (.f64 y z) z))`
64.8%	3	`x`
70.2%	3	`y`
82.2%	2	`z`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

regimes14.0ms (1.1%)

Memory

-19.7MiB live, 25.6MiB allocated; 11ms 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:

9.0ms	(.f64 (.f64 y z) z)
1.0ms	y
1.0ms	z
1.0ms	x
1.0ms	(+.f64 x (.f64 (.f64 y z) z))

Results

Accuracy	Segments	Branch
47.9%	1	`x`
47.9%	1	`y`
47.9%	1	`(+.f64 x (.f64 (.f64 y z) z))`
47.9%	1	`z`
47.9%	1	`(.f64 (.f64 y z) z)`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.203606006189023e-8	11434948170875528.0
0.0ms	-2.709487016799634e+31	-6.926706313217126e+28

Compiler

Compiled 10 to 12 computations (-20% saved)

derivations29.0ms (2.4%)

Memory

10.3MiB live, 54.3MiB allocated; 9ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 66 to 19 computations (71.2% saved)

preprocess20.0ms (1.6%)

Memory: -12.4MiB live, 34.1MiB allocated; 5ms collecting garbage
Remove: (abs z)
Compiler: Compiled 278 to 110 computations (60.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample696.0ms (56.8%)

explain74.0ms (6.1%)

preprocess12.0ms (1%)

series33.0ms (2.7%)

rewrite83.0ms (6.8%)

eval3.0ms (0.3%)

prune2.0ms (0.1%)

series6.0ms (0.5%)

rewrite75.0ms (6.1%)

eval7.0ms (0.6%)

prune34.0ms (2.8%)

series5.0ms (0.4%)

rewrite72.0ms (5.8%)

eval10.0ms (0.8%)

prune2.0ms (0.2%)

regimes39.0ms (3.2%)

regimes8.0ms (0.6%)

regimes14.0ms (1.1%)

bsearch1.0ms (0%)

derivations29.0ms (2.4%)

preprocess20.0ms (1.6%)

end0.0ms (0%)

Profiling