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

0.7MiB live, 0.7MiB 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)

sample1.1s (48.9%)

Memory

-22.8MiB live, 1 082.6MiB allocated; 233ms collecting garbage

Samples

680.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 212.0ms

ival-mult: 155.0ms (73.1% of total)

ival-sub: 46.0ms (21.7% of total)

ival-true: 6.0ms (2.8% of total)

adjust: 3.0ms (1.4% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain62.0ms (2.8%)

Memory

-18.5MiB live, 131.3MiB allocated; 21ms 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% of total)

ival-sub: 2.0ms (27.5% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess47.0ms (2.2%)

Memory

0.7MiB live, 47.5MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	48
1	40	48
2	81	48
3	115	48
4	129	48
5	133	48
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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

simplify4.0ms (0.2%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y z)
cost-diff	0	(-.f64 x (*.f64 y z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	11	11
2	20	11
3	30	11
4	39	11
0	39	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize14.0ms (0.6%)

Memory

28.0MiB live, 28.0MiB allocated; 0ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 y z)
accuracy	0.0078125	(-.f64 x (*.f64 y z))

Samples

10.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (59.7% of total)

ival-sub: 1.0ms (29.8% of total)

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

adjust: 0.0ms (0% of total)

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

series41.0ms (1.9%)

Memory

-39.1MiB live, 7.6MiB allocated; 4ms collecting garbage

Counts

2 → 11

Calls

Call 1

Inputs
(-.f64 x (*.f64 y z))
(*.f64 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 (* 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 (- 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 (- 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
38.0ms	z	@	0	((- x (* y z)) (* y z))
1.0ms	z	@	-inf	((- x (* y z)) (* y z))
0.0ms	y	@	-inf	((- x (* y z)) (* y z))
0.0ms	y	@	0	((- x (* y z)) (* y z))
0.0ms	z	@	inf	((- x (* y z)) (* y z))

simplify193.0ms (8.9%)

Memory

24.2MiB live, 207.3MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	112
1	101	112
2	254	112
3	842	112
4	3432	112
5	6748	112
0	8084	112

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

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 (* 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 (- 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 (- 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 (* 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 (- 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 (- 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)))

rewrite85.0ms (3.9%)

Memory

-27.6MiB live, 129.8MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	24	8
2	165	8
0	1628	8

Stop Event

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

Counts

2 → 54

Calls

Call 1

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

eval6.0ms (0.3%)

Memory: 12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 568 to 188 computations (88% saved)

prune2.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	3	59

Accuracy

100.0%

Counts

59 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (neg.f64 z) y x)
▶	49.0%	#s(approx (- x (* y z)) (*.f64 (neg.f64 y) z))
▶	51.8%	#s(approx (- x (* y z)) x)

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify5.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) y x)
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) z)
cost-diff	0	#s(approx (- x (* y z)) (*.f64 (neg.f64 y) z))
cost-diff	0	#s(approx (- x (* y z)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
0	16	36
1	24	36
2	34	36
3	46	36
0	46	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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)
z
y
x

Outputs
#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)
z
y
x

localize69.0ms (3.2%)

Memory

-13.0MiB live, 33.1MiB allocated; 3ms collecting garbage

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (neg.f64 z) y x)
accuracy	0.0	(neg.f64 z)
accuracy	0.0	(*.f64 (neg.f64 y) z)
accuracy	0.0	(neg.f64 y)
accuracy	32.63963347441509	#s(approx (- x (* y z)) (*.f64 (neg.f64 y) z))
accuracy	30.868120437065237	#s(approx (- x (* y z)) x)

Samples

63.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (49.9% of total)

ival-neg: 2.0ms (20% of total)

ival-sub: 1.0ms (10% of total)

ival-add: 1.0ms (10% of total)

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

adjust: 0.0ms (0% of total)

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

series6.0ms (0.3%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Counts

6 → 22

Calls

Call 1

Inputs
#s(approx (- x (* y z)) x)
#s(approx (- x (* y z)) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
(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 (+ (* (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 (- 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 (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	z	@	0	((- x (* y z)) (- x (* y z)) (* (neg y) z) (neg y) (+ (* (neg z) y) x) (neg z))
1.0ms	y	@	inf	((- x (* y z)) (- x (* y z)) (* (neg y) z) (neg y) (+ (* (neg z) y) x) (neg z))
1.0ms	z	@	inf	((- x (* y z)) (- x (* y z)) (* (neg y) z) (neg y) (+ (* (neg z) y) x) (neg z))
1.0ms	z	@	-inf	((- x (* y z)) (- x (* y z)) (* (neg y) z) (neg y) (+ (* (neg z) y) x) (neg z))
1.0ms	y	@	-inf	((- x (* y z)) (- x (* y z)) (* (neg y) z) (neg y) (+ (* (neg z) y) x) (neg z))

simplify130.0ms (6%)

Memory

21.4MiB live, 158.5MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	218
1	179	218
2	440	218
3	1113	218
4	3921	218
5	7505	218
0	8299	218

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

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

rewrite164.0ms (7.5%)

Memory

-3.6MiB live, 139.8MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
0	16	30
1	47	30
2	308	30
3	3502	28
0	8904	25

Stop Event

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

Counts

6 → 191

Calls

Call 1

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

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

eval22.0ms (1%)

Memory: 5.7MiB live, 48.5MiB allocated; 10ms collecting garbage
Compiler: Compiled 3 599 to 413 computations (88.5% saved)

prune10.0ms (0.5%)

Memory

-21.3MiB live, 21.7MiB allocated; 9ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	196	3	199

Accuracy

100.0%

Counts

199 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (neg.f64 z) y x)
✓	49.0%	#s(approx (- x (* y z)) (*.f64 (neg.f64 y) z))
✓	51.8%	#s(approx (- x (* y z)) x)

Compiler

Compiled 49 to 32 computations (34.7% saved)

regimes10.0ms (0.4%)

Memory

31.6MiB live, 31.6MiB allocated; 0ms 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:

2.0ms	z
2.0ms	x
2.0ms	y
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)

regimes18.0ms (0.8%)

Memory

-30.6MiB live, 28.3MiB allocated; 16ms 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:

12.0ms	y
2.0ms	x
2.0ms	z
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)

regimes7.0ms (0.3%)

Memory

21.0MiB live, 21.0MiB 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	(-.f64 x (*.f64 y z))
1.0ms	y
1.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
79.5%	3	`(*.f64 y z)`
67.6%	5	`(-.f64 x (*.f64 y z))`
71.9%	3	`x`
72.4%	3	`y`
73.6%	3	`z`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes29.0ms (1.3%)

Memory

-30.5MiB live, 15.3MiB 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:

25.0ms	y
1.0ms	x
1.0ms	z
1.0ms	(-.f64 x (*.f64 y z))
1.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
51.8%	1	`(-.f64 x (*.f64 y z))`
51.8%	1	`x`
51.8%	1	`y`
51.8%	1	`z`
51.8%	1	`(*.f64 y z)`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.922999494580152e-45	1.2934264292274152e-35
0.0ms	-1.6586770921949595e+125	-3.649354313877343e+124

Compiler

Compiled 8 to 11 computations (-37.5% saved)

simplify12.0ms (0.5%)

Memory

20.2MiB live, 20.2MiB 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 -99999999999999992486776161899288204254467086983483846143922597222529419997579302660316349376281765375153005841365553228283904 binary64)) #s(approx (- x ( y z)) (.f64 (neg.f64 y) z)) (if (<=.f64 (.f64 y z) #s(literal 8034690221294951/803469022129495137770981046170581301261101496891396417650688 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 -99999999999999992486776161899288204254467086983483846143922597222529419997579302660316349376281765375153005841365553228283904 binary64)) #s(approx (- x ( y z)) (.f64 (neg.f64 y) z)) (if (<=.f64 (.f64 y z) #s(literal 8034690221294951/803469022129495137770981046170581301261101496891396417650688 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 -99999999999999992486776161899288204254467086983483846143922597222529419997579302660316349376281765375153005841365553228283904 binary64)) (not (<=.f64 (.f64 y z) #s(literal 8034690221294951/803469022129495137770981046170581301261101496891396417650688 binary64)))) #s(approx (- x (* y z)) (.f64 (neg.f64 y) z)) #s(approx (- x ( y z)) x))
#s(approx (- x (* y z)) x)

derivations88.0ms (4.1%)

Memory

11.2MiB live, 104.0MiB allocated; 9ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 47 to 20 computations (57.4% saved)

preprocess86.0ms (3.9%)

Memory: -26.2MiB live, 55.7MiB allocated; 56ms collecting garbage
Remove: (sort y z)
Compiler: Compiled 158 to 86 computations (45.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (48.9%)

explain62.0ms (2.8%)

preprocess47.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.2%)

localize14.0ms (0.6%)

series41.0ms (1.9%)

simplify193.0ms (8.9%)

rewrite85.0ms (3.9%)

eval6.0ms (0.3%)

prune2.0ms (0.1%)

simplify5.0ms (0.2%)

localize69.0ms (3.2%)

series6.0ms (0.3%)

simplify130.0ms (6%)

rewrite164.0ms (7.5%)

eval22.0ms (1%)

prune10.0ms (0.5%)

regimes10.0ms (0.4%)

regimes18.0ms (0.8%)

regimes7.0ms (0.3%)

regimes29.0ms (1.3%)

bsearch1.0ms (0%)

simplify12.0ms (0.5%)

derivations88.0ms (4.1%)

preprocess86.0ms (3.9%)

end0.0ms (0%)

Profiling