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)

sample971.0ms (50.2%)

Memory

-22.4MiB live, 1 078.7MiB allocated; 299ms collecting garbage

Samples

618.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 339.0ms

ival-mult: 285.0ms (84% of total)

ival-sub: 42.0ms (12.4% of total)

ival-true: 6.0ms (1.8% of total)

ival-assert: 3.0ms (0.9% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain89.0ms (4.6%)

Memory

-19.0MiB live, 82.8MiB allocated; 37ms 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

21.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-mult: 4.0ms (55.3% of total)

ival-sub: 3.0ms (41.5% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess15.0ms (0.8%)

Memory

32.5MiB live, 32.5MiB allocated; 0ms 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

1.1MiB live, 1.1MiB 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)

series11.0ms (0.6%)

Memory

-26.9MiB live, 15.5MiB allocated; 11ms 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
5.0ms	z	@	inf	((- x (* y z)) x (* y z) y z)
2.0ms	z	@	-inf	((- x (* y z)) x (* y z) y z)
1.0ms	y	@	-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)

simplify198.0ms (10.3%)

Memory

13.8MiB live, 159.7MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	121
1	104	121
2	257	121
3	845	121
4	3446	121
5	6746	121
0	8082	121

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

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

rewrite102.0ms (5.3%)

Memory

13.7MiB live, 201.7MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	24	11
2	165	11
0	1628	11

Stop Event

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

Counts

5 → 57

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 z y) (-.f64 (.f64 z y) x) (*.f64 x x)))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (-.f64 (.f64 x x) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (-.f64 x (.f64 z y)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 z y x) (.f64 z y)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (fma.f64 z y x) (*.f64 z y))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 z y x) (.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 z y x) (.f64 z y)) (-.f64 (.f64 (fma.f64 z y x) (.f64 z y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (fma.f64 z y x) (/.f64 (-.f64 x (.f64 z y)) (fma.f64 z y x)))
(.f64 (fma.f64 (fma.f64 z y x) (.f64 z y) (.f64 x x)) (/.f64 (-.f64 x (.f64 z y)) (fma.f64 (fma.f64 z y x) (.f64 z y) (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 x (fma.f64 z y x))) (.f64 x (/.f64 x (fma.f64 z y x)))) (.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)))) (fma.f64 x (/.f64 x (fma.f64 z y x)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 z y x) (.f64 z y) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 z y x) (.f64 z y) (.f64 x x)))) (.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y x) (.f64 z y) (.f64 x x))) (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y x) (.f64 z y) (.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 z y x) (.f64 z y) (.f64 x x))) (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y x) (.f64 z y) (*.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 (-.f64 (pow.f64 (.f64 x (/.f64 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 x (/.f64 x (fma.f64 z y x))) (.f64 x (/.f64 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 x (/.f64 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 (fma.f64 z y x) (.f64 z y) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y x) (.f64 z y) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 z y x) (.f64 z y) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 z y x) (.f64 z y) (.f64 x x))) (fma.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y x) (.f64 z y) (.f64 x x))) (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y x) (.f64 z y) (.f64 x x))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 z y x) (.f64 z y) (.f64 x x))) (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y x) (.f64 z y) (*.f64 x 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 (fma.f64 z y x) (.f64 z y) (*.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 (fma.f64 z y x) (.f64 z y) (.f64 x x))) (.f64 (fma.f64 (fma.f64 z y x) (.f64 z y) (.f64 x x)) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) (.f64 (fma.f64 (fma.f64 z y x) (.f64 z y) (.f64 x x)) (fma.f64 (fma.f64 z y x) (.f64 z y) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z y) #s(literal 4 binary64))) (.f64 (fma.f64 x x (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 z y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 z y) #s(literal 9 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 z y x) (.f64 z y) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 z y) #s(literal 6 binary64))) (.f64 (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (.f64 z y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 z y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 z y) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 z y x) (.f64 z y) (*.f64 x 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 (fma.f64 (fma.f64 z y x) (.f64 z y) (*.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 (neg.f64 y) z) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (fma.f64 (fma.f64 z y x) (.f64 z y) (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (fma.f64 z y x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 z y x) (.f64 z y) (*.f64 x x))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (neg.f64 (fma.f64 z y x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 z y x) (.f64 z y) (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 z y x) (.f64 z y)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (fma.f64 z y x) (.f64 z y))) (/.f64 (pow.f64 (.f64 (neg.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y x) (.f64 z y) (.f64 x x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 z y x) (.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 z y x) (.f64 z y)) (-.f64 (.f64 (fma.f64 z y x) (.f64 z y)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 (neg.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y x) (.f64 z y) (.f64 x x))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 z y) (-.f64 (.f64 z y) x) (.f64 x x)) (/.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (fma.f64 z y x)))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x x) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (-.f64 x (.f64 z y)) (/.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 z y x)))
(fma.f64 (neg.f64 z) y x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (fma.f64 z y x) (.f64 z y) (.f64 x x))) (/.f64 (pow.f64 (.f64 (neg.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y x) (.f64 z y) (*.f64 x x))))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (fma.f64 z y x)) (/.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 z y x)))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (fma.f64 z y x)) (/.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 z y x)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (fma.f64 z y x) (.f64 z y) (.f64 x x))) (/.f64 (pow.f64 (.f64 (neg.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y x) (.f64 z y) (.f64 x x))))
(fma.f64 z (neg.f64 y) x)
(fma.f64 y (neg.f64 z) x)
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (fma.f64 z y x) (.f64 z y) (.f64 x x))) (/.f64 (pow.f64 (.f64 (neg.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y x) (.f64 z y) (.f64 x x))))
(fma.f64 x (/.f64 x (fma.f64 z y x)) (/.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 z y x)))
(-.f64 (.f64 x (/.f64 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 (fma.f64 z y x) (.f64 z y) (.f64 x x))) (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y x) (.f64 z y) (*.f64 x x))))
(-.f64 x (*.f64 (neg.f64 (neg.f64 z)) y))
(-.f64 x (*.f64 (neg.f64 z) (neg.f64 y)))
(-.f64 x (*.f64 z y))
(+.f64 (.f64 x (/.f64 x (fma.f64 z y x))) (/.f64 (neg.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 (fma.f64 z y x) (.f64 z y) (.f64 x x))) (/.f64 (pow.f64 (.f64 (neg.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y x) (.f64 z y) (*.f64 x x))))
(+.f64 (*.f64 (neg.f64 y) z) x)
(+.f64 x (*.f64 (neg.f64 y) z))
x
(*.f64 z y)
(*.f64 y z)
(neg.f64 (*.f64 (neg.f64 y) z))
y
z

eval9.0ms (0.5%)

Memory: -10.9MiB live, 31.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 604 to 196 computations (87.8% saved)

prune2.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	3	65

Accuracy

100.0%

Counts

65 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (*.f64 y z))
▶	49.6%	#s(approx (- x (* y z)) (*.f64 (neg.f64 y) z))
▶	53.1%	#s(approx (- x (* y z)) x)

Compiler

Compiled 22 to 19 computations (13.6% saved)

series5.0ms (0.2%)

Memory

23.5MiB live, 23.6MiB allocated; 0ms collecting garbage

Counts

7 → 15

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

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 (* (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 (- 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 (- x (* y z)) (* (neg y) z) (neg y) y z)
1.0ms	y	@	inf	((- x (* y z)) x (- x (* y z)) (* (neg y) z) (neg y) y z)
1.0ms	z	@	inf	((- x (* y z)) x (- x (* y z)) (* (neg y) z) (neg y) y z)
1.0ms	y	@	0	((- x (* y z)) x (- x (* y z)) (* (neg y) z) (neg y) y z)
1.0ms	z	@	-inf	((- x (* y z)) x (- x (* y z)) (* (neg y) z) (neg y) y z)

simplify163.0ms (8.4%)

Memory

-13.3MiB live, 183.8MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	128
1	108	128
2	265	128
3	867	128
4	3481	128
5	6806	128
0	8147	128

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

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

rewrite117.0ms (6.1%)

Memory

-4.8MiB live, 86.1MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
0	11	26
1	28	26
2	165	26
0	1644	26

Stop Event

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

Counts

7 → 11

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

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

eval2.0ms (0.1%)

Memory: 4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 186 to 37 computations (80.1% saved)

prune4.0ms (0.2%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	18	3	21

Accuracy

100.0%

Counts

21 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (*.f64 y z))
✓	49.6%	#s(approx (- x (* y z)) (*.f64 (neg.f64 y) z))
✓	53.1%	#s(approx (- x (* y z)) x)

Compiler

Compiled 44 to 30 computations (31.8% saved)

regimes75.0ms (3.9%)

Memory

-35.6MiB live, 31.8MiB allocated; 11ms 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:

59.0ms	y
10.0ms	x
2.0ms	(-.f64 x (*.f64 y z))
2.0ms	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 (0.3%)

Memory

21.8MiB live, 21.8MiB 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
80.5%	3	`(*.f64 y z)`
68.7%	5	`(-.f64 x (*.f64 y z))`
73.4%	3	`x`
77.0%	3	`y`
72.3%	3	`z`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes18.0ms (0.9%)

Memory

-25.2MiB live, 22.0MiB allocated; 3ms 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:

13.0ms	(*.f64 y z)
1.0ms	y
1.0ms	z
1.0ms	x
1.0ms	(-.f64 x (*.f64 y z))

Results

Accuracy	Segments	Branch
53.1%	1	`(-.f64 x (*.f64 y z))`
53.1%	1	`z`
53.1%	1	`x`
53.1%	1	`y`
53.1%	1	`(*.f64 y z)`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.208624338472802e-154	5.761822541415609e-140
0.0ms	-7.806494956116281e-30	-3.6653615467361764e-37

Compiler

Compiled 8 to 11 computations (-37.5% saved)

simplify13.0ms (0.7%)

Memory

-17.1MiB live, 28.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	42
1	31	42
2	46	42
3	61	42
4	71	42

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 y z) #s(literal -7136238463529799/1427247692705959881058285969449495136382746624 binary64)) #s(approx (- x (* y z)) (*.f64 (neg.f64 y) z)) (if (<=.f64 (*.f64 y z) #s(literal 7547924849643083/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) #s(approx (- x (* y z)) x) #s(approx (- x (* y z)) (*.f64 (neg.f64 y) z))))

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

Outputs
(-.f64 x (*.f64 y z))
(if (<=.f64 (.f64 y z) #s(literal -7136238463529799/1427247692705959881058285969449495136382746624 binary64)) #s(approx (- x ( y z)) (.f64 (neg.f64 y) z)) (if (<=.f64 (.f64 y z) #s(literal 7547924849643083/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 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 -7136238463529799/1427247692705959881058285969449495136382746624 binary64)) (not (<=.f64 (.f64 y z) #s(literal 7547924849643083/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 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 (4.7%)

Memory

2.7MiB live, 98.1MiB allocated; 13ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 42 to 18 computations (57.1% saved)

preprocess43.0ms (2.2%)

Memory: 24.0MiB live, 66.0MiB allocated; 11ms collecting garbage
Remove: (sort y z)
Compiler: Compiled 148 to 82 computations (44.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample971.0ms (50.2%)

explain89.0ms (4.6%)

preprocess15.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

series11.0ms (0.6%)

simplify198.0ms (10.3%)

rewrite102.0ms (5.3%)

eval9.0ms (0.5%)

prune2.0ms (0.1%)

series5.0ms (0.2%)

simplify163.0ms (8.4%)

rewrite117.0ms (6.1%)

eval2.0ms (0.1%)

prune4.0ms (0.2%)

regimes75.0ms (3.9%)

regimes7.0ms (0.3%)

regimes18.0ms (0.9%)

bsearch1.0ms (0%)

simplify13.0ms (0.7%)

derivations90.0ms (4.7%)

preprocess43.0ms (2.2%)

end0.0ms (0%)

Profiling