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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample626.0ms (45.2%)

Memory

-1.5MiB live, 748.8MiB allocated; 137ms collecting garbage

Samples

400.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult!: 47.0ms (68.5% of total)

ival-sub!: 20.0ms (29.2% of total)

adjust: 1.0ms (1.5% of total)

Bogosity

explain45.0ms (3.3%)

Memory

37.6MiB live, 81.8MiB allocated; 4ms 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

17.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-mult!: 3.0ms (67.7% of total)

ival-sub!: 1.0ms (22.6% of total)

adjust: 0.0ms (0% of total)

preprocess17.0ms (1.3%)

Memory

-13.8MiB live, 32.0MiB allocated; 3ms 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
0	5	5
0	7	5
1	11	5
2	20	5
3	30	5
4	39	5
0	39	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(sort y z)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

series5.0ms (0.4%)

Memory

12.2MiB live, 12.2MiB 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	z	@	inf	((- x (* y z)) x (* y z) y z)
1.0ms	y	@	inf	((- x (* y z)) x (* y z) y z)

rewrite221.0ms (16%)

Memory

-6.7MiB live, 237.4MiB allocated; 28ms 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)))

eval6.0ms (0.4%)

Memory: 10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 285 to 157 computations (87.8% saved)

prune99.0ms (7.2%)

Memory

-38.1MiB live, 8.4MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	3	58

Accuracy

100.0%

Counts

58 → 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))
▶	48.2%	#s(approx (- x (* y z)) x)

Compiler

Compiled 22 to 19 computations (13.6% saved)

series6.0ms (0.5%)

Memory

17.6MiB live, 17.6MiB allocated; 0ms 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
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	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	y	@	0	((- x (* y z)) x (- x (* y z)) (* (neg y) z) (neg y) y z (+ (* (neg z) y) x) (neg z))

rewrite187.0ms (13.6%)

Memory

16.3MiB live, 213.8MiB allocated; 26ms 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))

eval9.0ms (0.7%)

Memory: -24.7MiB live, 19.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 042 to 160 computations (84.6% saved)

prune4.0ms (0.3%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	69	3	72

Accuracy

100.0%

Counts

72 → 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))
✓	48.2%	#s(approx (- x (* y z)) x)

Compiler

Compiled 49 to 32 computations (34.7% saved)

regimes11.0ms (0.8%)

Memory

-14.1MiB live, 32.9MiB allocated; 1ms 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:

3.0ms	(-.f64 x (*.f64 y z))
2.0ms	y
2.0ms	z
2.0ms	x
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

19.9MiB live, 19.9MiB 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	z
2.0ms	x
2.0ms	y
1.0ms	(-.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)

regimes7.0ms (0.5%)

Memory

16.7MiB live, 16.7MiB allocated; 0ms 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:

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

Results

Accuracy	Segments	Branch
80.7%	3	`(*.f64 y z)`
66.4%	5	`(-.f64 x (*.f64 y z))`
71.4%	3	`x`
73.1%	3	`y`
74.9%	3	`z`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes9.0ms (0.7%)

Memory

-46.4MiB live, 15.2MiB allocated; 5ms 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:

5.0ms	(*.f64 y z)
1.0ms	z
1.0ms	y
1.0ms	x
1.0ms	(-.f64 x (*.f64 y z))

Results

Accuracy	Segments	Branch
48.2%	1	`(-.f64 x (*.f64 y z))`
48.2%	1	`x`
48.2%	1	`y`
48.2%	1	`z`
48.2%	1	`(*.f64 y z)`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.9526600841443928e-140	1.48648309223704e-122
0.0ms	-1.3857237784077209e-42	-8.784418894870685e-44

Compiler

Compiled 8 to 11 computations (-37.5% saved)

simplify10.0ms (0.7%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	47
1	36	47
2	50	47
3	61	47
4	70	47

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (neg.f64 z) y x)
(-.f64 x (*.f64 y z))
(if (<=.f64 (.f64 y z) #s(literal -6277101735386681/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (- x ( y z)) (.f64 (neg.f64 y) z)) (if (<=.f64 (.f64 y z) #s(literal 4290498537581631/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536 binary64)) #s(approx (- x (* y z)) x) #s(approx (- x (* y z)) (*.f64 (neg.f64 y) z))))
#s(approx (- x (* y z)) x)

Outputs
(fma.f64 (neg.f64 z) y x)
(-.f64 x (*.f64 y z))
(if (<=.f64 (.f64 y z) #s(literal -6277101735386681/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (- x ( y z)) (.f64 (neg.f64 y) z)) (if (<=.f64 (.f64 y z) #s(literal 4290498537581631/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536 binary64)) #s(approx (- x (* y z)) x) #s(approx (- x (* y z)) (*.f64 (neg.f64 y) z))))
(if (or (<=.f64 (.f64 y z) #s(literal -6277101735386681/6277101735386680763835789423207666416102355444464034512896 binary64)) (not (<=.f64 (.f64 y z) #s(literal 4290498537581631/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536 binary64)))) #s(approx (- x (* y z)) (.f64 (neg.f64 y) z)) #s(approx (- x ( y z)) x))
#s(approx (- x (* y z)) x)

derivations90.0ms (6.5%)

Memory

-30.8MiB live, 62.8MiB allocated; 6ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 47 to 20 computations (57.4% saved)

preprocess19.0ms (1.4%)

Memory: 34.7MiB live, 34.7MiB allocated; 0ms collecting garbage
Remove: (sort y z)
Compiler: Compiled 124 to 70 computations (43.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample626.0ms (45.2%)

explain45.0ms (3.3%)

preprocess17.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0.4%)

rewrite221.0ms (16%)

eval6.0ms (0.4%)

prune99.0ms (7.2%)

series6.0ms (0.5%)

rewrite187.0ms (13.6%)

eval9.0ms (0.7%)

prune4.0ms (0.3%)

regimes11.0ms (0.8%)

regimes8.0ms (0.6%)

regimes7.0ms (0.5%)

regimes9.0ms (0.7%)

bsearch1.0ms (0%)

simplify10.0ms (0.7%)

derivations90.0ms (6.5%)

preprocess19.0ms (1.4%)

end0.0ms (0%)

Profiling