Metrics for Diagrams.Solve.Tridiagonal:solveTriDiagonal from diagrams-solve-0.1, C

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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 7 to 7 computations (0% saved)

sample584.0ms (47.3%)

Memory

-17.2MiB live, 682.2MiB allocated; 128ms collecting garbage

Samples

318.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult!: 80.0ms (77.9% of total)

ival-sub!: 21.0ms (20.5% of total)

adjust: 2.0ms (1.9% of total)

Bogosity

explain61.0ms (5%)

Memory

29.6MiB live, 77.2MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

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

34.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult!: 19.0ms (93.8% of total)

ival-sub!: 1.0ms (4.9% of total)

adjust: 0.0ms (0% of total)

preprocess15.0ms (1.2%)

Memory

-22.3MiB live, 17.7MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	53
1	40	53
2	81	53
3	115	53
4	129	53
5	133	53

Stop Event

1×

saturated

Alt Table

Click to see full alt table

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

Symmetry

(sort y z)

Compiler

Compiled 10 to 10 computations (0% saved)

series5.0ms (0.4%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Counts

5 → 14

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite160.0ms (12.9%)

Memory

9.4MiB live, 250.0MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	167
0	50	156
1	209	152
2	1571	152
0	8572	150

Stop Event

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

Counts

19 → 59

Calls

Call 1

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

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

eval5.0ms (0.4%)

Memory: 13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 260 to 156 computations (87.6% saved)

prune2.0ms (0.2%)

Memory

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

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	3	53

Accuracy

100.0%

Counts

53 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (neg.f64 z) y x)
▶	54.5%	#s(approx (- x (* y z)) (*.f64 (neg.f64 y) z))
▶	47.1%	#s(approx (- x (* y z)) x)

Compiler

Compiled 22 to 19 computations (13.6% saved)

series9.0ms (0.7%)

Memory

-30.5MiB live, 15.5MiB allocated; 4ms collecting garbage

Counts

9 → 25

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	((- x (* y z)) x (- x (* y z)) (* (neg y) z) (neg y) y z (+ (* (neg z) y) x) (neg z))
1.0ms	y	@	-inf	((- x (* y z)) x (- x (* y z)) (* (neg y) z) (neg y) y z (+ (* (neg z) y) x) (neg z))
1.0ms	z	@	-inf	((- x (* y z)) x (- x (* y z)) (* (neg y) z) (neg y) y z (+ (* (neg z) y) x) (neg z))
1.0ms	z	@	inf	((- x (* y z)) x (- x (* y z)) (* (neg y) z) (neg y) y z (+ (* (neg z) y) x) (neg z))
1.0ms	y	@	0	((- x (* y z)) x (- x (* y z)) (* (neg y) z) (neg y) y z (+ (* (neg z) y) x) (neg z))

rewrite221.0ms (17.9%)

Memory

8.3MiB live, 201.1MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	77	333
0	80	296
1	340	292
2	2469	292
0	9068	292

Stop Event

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

Counts

34 → 78

Calls

Call 1

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

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

eval5.0ms (0.4%)

Memory: 12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 953 to 156 computations (83.6% saved)

prune3.0ms (0.3%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	57	3	60

Accuracy

100.0%

Counts

60 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (neg.f64 z) y x)
✓	54.5%	#s(approx (- x (* y z)) (*.f64 (neg.f64 y) z))
✓	47.1%	#s(approx (- x (* y z)) x)

Compiler

Compiled 49 to 32 computations (34.7% saved)

regimes19.0ms (1.5%)

Memory

-27.6MiB live, 30.0MiB allocated; 12ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(-.f64 x (*.f64 y z))
2.0ms	(*.f64 y z)

Results

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

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes8.0ms (0.6%)

Memory

21.3MiB live, 21.3MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	x
2.0ms	z
2.0ms	y
2.0ms	(-.f64 x (*.f64 y z))
1.0ms	(*.f64 y z)

Results

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

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes9.0ms (0.8%)

Memory

-23.0MiB live, 20.5MiB allocated; 5ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	y
1.0ms	x
1.0ms	z
1.0ms	(*.f64 y z)
1.0ms	(-.f64 x (*.f64 y z))

Results

Accuracy	Segments	Branch
80.6%	3	`(*.f64 y z)`
68.4%	5	`(-.f64 x (*.f64 y z))`
75.7%	3	`x`
76.2%	5	`y`
73.7%	3	`z`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes5.0ms (0.4%)

Memory

18.4MiB live, 18.4MiB 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)) x)

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

Calls

5 calls:

1.0ms	(-.f64 x (*.f64 y z))
1.0ms	x
1.0ms	y
1.0ms	z
1.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
47.1%	1	`(-.f64 x (*.f64 y z))`
47.1%	1	`y`
47.1%	1	`z`
47.1%	1	`x`
47.1%	1	`(*.f64 y z)`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

bsearch1.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.587610413960034e-82	1.47564048842182e-81
0.0ms	-1.5739939020652722e-58	-1.6933937528670006e-74

Compiler

Compiled 8 to 11 computations (-37.5% saved)

derivations93.0ms (7.6%)

Memory

-28.7MiB live, 62.5MiB allocated; 7ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 56 to 19 computations (66.1% saved)

preprocess30.0ms (2.5%)

Memory: 19.5MiB live, 70.5MiB allocated; 13ms collecting garbage
Remove: (sort y z)
Compiler: Compiled 234 to 112 computations (52.1% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample584.0ms (47.3%)

explain61.0ms (5%)

preprocess15.0ms (1.2%)

series5.0ms (0.4%)

rewrite160.0ms (12.9%)

eval5.0ms (0.4%)

prune2.0ms (0.2%)

series9.0ms (0.7%)

rewrite221.0ms (17.9%)

eval5.0ms (0.4%)

prune3.0ms (0.3%)

regimes19.0ms (1.5%)

regimes8.0ms (0.6%)

regimes9.0ms (0.8%)

regimes5.0ms (0.4%)

bsearch1.0ms (0.1%)

derivations93.0ms (7.6%)

preprocess30.0ms (2.5%)

end0.0ms (0%)

Profiling