Metrics for Commute and associate

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 13 to 10 computations (23.1% saved)

sample2.2s (73.4%)

Memory

68.2MiB live, 1 472.0MiB allocated; 1.0s collecting garbage

Samples

1.3s	4 064×	2	valid
608.0ms	4 189×	1	valid
0.0ms	3×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

adjust: 724.0ms (57.7% of total)

ival-add: 438.0ms (34.9% of total)

ival-sub: 90.0ms (7.2% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain155.0ms (5.1%)

Memory

-24.4MiB live, 71.4MiB allocated; 6ms collecting garbage

FPErrors

Click to see full error table

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

67.0ms	286×	2	valid
31.0ms	226×	1	valid

Compiler

Compiled 75 to 28 computations (62.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

adjust: 39.0ms (58.5% of total)

ival-add: 22.0ms (33% of total)

ival-sub: 5.0ms (7.5% of total)

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

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

preprocess172.0ms (5.7%)

Memory

32.2MiB live, 32.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	110
1	94	10
2	321	10
3	1191	10
4	4738	10
5	5690	10
6	7266	10
0	8	11
0	13	11
1	23	1
2	66	1
3	248	1
4	941	1
5	1269	1
6	2249	1
7	3536	1
8	6678	1
0	8106	1

Stop Event

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

Calls

Call 1

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

Outputs
(-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z)))
#s(literal 0 binary64)

Symmetry

(abs x)

(abs y)

(abs z)

(negabs x)

(negabs y)

(negabs z)

(sort x y z)

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

series18.0ms (0.6%)

Memory

-44.2MiB live, 2.6MiB allocated; 3ms collecting garbage

Counts

8 → 44

Calls

Call 1

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

Outputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(hole binary64 0))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ y z)))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x (+ y z))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ x (+ y z)) #s(hole binary64 (+ 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 (+ (/ y x) (/ z x))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x (+ y z)) #s(hole binary64 x))
#s(approx (+ x (+ y z)) #s(hole binary64 (* x (+ 1 (+ (/ y x) (/ z x))))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ x (+ y z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x z)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (+ y z)) #s(hole binary64 (+ x z)))
#s(approx (+ y z) #s(hole binary64 z))
#s(approx (+ y z) #s(hole binary64 (+ y z)))
#s(approx (+ (+ x y) z) #s(hole binary64 y))
#s(approx (+ (+ x y) z) #s(hole binary64 (* y (+ 1 (+ (/ x y) (/ z y))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x (+ y z)) #s(hole binary64 y))
#s(approx (+ x (+ y z)) #s(hole binary64 (* y (+ 1 (+ (/ x y) (/ z y))))))
#s(approx (+ y z) #s(hole binary64 y))
#s(approx (+ y z) #s(hole binary64 (* y (+ 1 (/ z y)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ x (+ y z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))))
#s(approx (+ y z) #s(hole binary64 (* -1 (* y (- (* -1 (/ z y)) 1)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x y)))
#s(approx z #s(hole binary64 z))
#s(approx (+ x (+ y z)) #s(hole binary64 (+ x y)))
#s(approx (+ (+ x y) z) #s(hole binary64 z))
#s(approx (+ (+ x y) z) #s(hole binary64 (* z (+ 1 (+ (/ x z) (/ y z))))))
#s(approx (+ x (+ y z)) #s(hole binary64 z))
#s(approx (+ x (+ y z)) #s(hole binary64 (* z (+ 1 (+ (/ x z) (/ y z))))))
#s(approx (+ y z) #s(hole binary64 (* z (+ 1 (/ y z)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))))
#s(approx (+ x (+ y z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))))
#s(approx (+ y z) #s(hole binary64 (* -1 (* z (- (* -1 (/ y z)) 1)))))

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	x	@	-inf	((- (+ (+ x y) z) (+ x (+ y z))) (+ (+ x y) z) (+ x y) x y z (+ x (+ y z)) (+ y z))
1.0ms	x	@	inf	((- (+ (+ x y) z) (+ x (+ y z))) (+ (+ x y) z) (+ x y) x y z (+ x (+ y z)) (+ y z))
1.0ms	y	@	-inf	((- (+ (+ x y) z) (+ x (+ y z))) (+ (+ x y) z) (+ x y) x y z (+ x (+ y z)) (+ y z))
0.0ms	z	@	-inf	((- (+ (+ x y) z) (+ x (+ y z))) (+ (+ x y) z) (+ x y) x y z (+ x (+ y z)) (+ y z))
0.0ms	y	@	inf	((- (+ (+ x y) z) (+ x (+ y z))) (+ (+ x y) z) (+ x y) x y z (+ x (+ y z)) (+ y z))

rewrite157.0ms (5.2%)

Memory

-18.0MiB live, 46.9MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	524
0	122	492
1	510	472
2	4887	472
0	8828	462

Stop Event

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

Counts

52 → 112

Calls

Call 1

Inputs
(-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z)))
(+.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z
(+.f64 x (+.f64 y z))
(+.f64 y z)
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(hole binary64 0))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ y z)))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x (+ y z))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ x (+ y z)) #s(hole binary64 (+ 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 (+ (/ y x) (/ z x))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x (+ y z)) #s(hole binary64 x))
#s(approx (+ x (+ y z)) #s(hole binary64 (* x (+ 1 (+ (/ y x) (/ z x))))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ x (+ y z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x z)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (+ y z)) #s(hole binary64 (+ x z)))
#s(approx (+ y z) #s(hole binary64 z))
#s(approx (+ y z) #s(hole binary64 (+ y z)))
#s(approx (+ (+ x y) z) #s(hole binary64 y))
#s(approx (+ (+ x y) z) #s(hole binary64 (* y (+ 1 (+ (/ x y) (/ z y))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x (+ y z)) #s(hole binary64 y))
#s(approx (+ x (+ y z)) #s(hole binary64 (* y (+ 1 (+ (/ x y) (/ z y))))))
#s(approx (+ y z) #s(hole binary64 y))
#s(approx (+ y z) #s(hole binary64 (* y (+ 1 (/ z y)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ x (+ y z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))))
#s(approx (+ y z) #s(hole binary64 (* -1 (* y (- (* -1 (/ z y)) 1)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x y)))
#s(approx z #s(hole binary64 z))
#s(approx (+ x (+ y z)) #s(hole binary64 (+ x y)))
#s(approx (+ (+ x y) z) #s(hole binary64 z))
#s(approx (+ (+ x y) z) #s(hole binary64 (* z (+ 1 (+ (/ x z) (/ y z))))))
#s(approx (+ x (+ y z)) #s(hole binary64 z))
#s(approx (+ x (+ y z)) #s(hole binary64 (* z (+ 1 (+ (/ x z) (/ y z))))))
#s(approx (+ y z) #s(hole binary64 (* z (+ 1 (/ y z)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))))
#s(approx (+ x (+ y z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))))
#s(approx (+ y z) #s(hole binary64 (* -1 (* z (- (* -1 (/ y z)) 1)))))

Outputs
#s(literal 0 binary64)
(/.f64 (-.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (+.f64 z y) x))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 z (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (+.f64 y x) z)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 x z) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (+.f64 y x) z))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (-.f64 (-.f64 x z) y))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) z))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (+.f64 z y) x))))
(/.f64 (+.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 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) (/.f64 (*.f64 z z) (-.f64 (+.f64 y x) z)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 (-.f64 x z) y)) (/.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (-.f64 x z) y)))
(+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (.f64 x x))) (/.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (.f64 x x))))
(+.f64 (+.f64 z x) y)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 y x) z)
(+.f64 z (+.f64 y x))
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 z y))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 y x))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))))
(+.f64 y x)
(+.f64 x y)
x
y
z
(/.f64 (-.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (+.f64 z y) x))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 z (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (+.f64 y x) z)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 x z) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (+.f64 y x) z))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (-.f64 (-.f64 x z) y))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) z))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (+.f64 z y) x))))
(/.f64 (+.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 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) (/.f64 (*.f64 z z) (-.f64 (+.f64 y x) z)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 (-.f64 x z) y)) (/.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (-.f64 x z) y)))
(+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (.f64 x x))) (/.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (.f64 x x))))
(+.f64 (+.f64 z x) y)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 y x) z)
(+.f64 z (+.f64 y x))
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 z y))
(/.f64 (-.f64 (.f64 z z) (.f64 y y)) (-.f64 z y))
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (neg.f64 (-.f64 y z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (-.f64 y z))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (.f64 y y) (.f64 z y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z y) (*.f64 y y)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y z)) (/.f64 (.f64 z z) (-.f64 y z)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))))
(+.f64 z y)
(+.f64 y z)
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))
#s(approx (+ x (+ y z)) (+.f64 z y))
#s(approx (+ x (+ y z)) (+.f64 (+.f64 z y) x))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 y x))
#s(approx x x)
#s(approx (+ x (+ y z)) (+.f64 z y))
#s(approx (+ x (+ y z)) (+.f64 (+.f64 z y) x))
#s(approx (+ x (+ y z)) x)
#s(approx (+ x (+ y z)) (fma.f64 (/.f64 (+.f64 z y) x) x x))
#s(approx (+ x y) x)
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
#s(approx (+ x (+ y z)) x)
#s(approx (+ x (+ y z)) (fma.f64 (/.f64 (+.f64 z y) x) x x))
#s(approx (+ x (+ y z)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 z y) x) #s(literal -1 binary64))))
#s(approx (+ x y) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
#s(approx (+ x (+ y z)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 z y) x) #s(literal -1 binary64))))
#s(approx (+ x (+ y z)) (+.f64 z x))
#s(approx y y)
#s(approx (+ x (+ y z)) (+.f64 z x))
#s(approx (+ y z) z)
#s(approx (+ y z) (+.f64 z y))
#s(approx (+ x (+ y z)) y)
#s(approx (+ x (+ y z)) (fma.f64 (/.f64 (+.f64 z x) y) y y))
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
#s(approx (+ x (+ y z)) y)
#s(approx (+ x (+ y z)) (fma.f64 (/.f64 (+.f64 z x) y) y y))
#s(approx (+ y z) y)
#s(approx (+ y z) (fma.f64 (/.f64 z y) y y))
#s(approx (+ x (+ y z)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ x y) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ x (+ y z)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ y z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 z y) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ x (+ y z)) (+.f64 y x))
#s(approx z z)
#s(approx (+ x (+ y z)) (+.f64 y x))
#s(approx (+ x (+ y z)) z)
#s(approx (+ x (+ y z)) (fma.f64 (/.f64 (+.f64 y x) z) z z))
#s(approx (+ x (+ y z)) z)
#s(approx (+ x (+ y z)) (fma.f64 (/.f64 (+.f64 y x) z) z z))
#s(approx (+ y z) (fma.f64 (/.f64 y z) z z))
#s(approx (+ x (+ y z)) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ x (+ y z)) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ y z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64))))

eval9.0ms (0.3%)

Memory: 5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 561 to 311 computations (80.1% saved)

prune2.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	1	84

Accuracy

100.0%

Counts

84 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(hole binary64 0))

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	((- (+ (+ x y) z) (+ x (+ y z))) 0)
0.0ms	x	@	inf	((- (+ (+ x y) z) (+ x (+ y z))) 0)
0.0ms	x	@	-inf	((- (+ (+ x y) z) (+ x (+ y z))) 0)
0.0ms	y	@	inf	((- (+ (+ x y) z) (+ x (+ y z))) 0)
0.0ms	z	@	inf	((- (+ (+ x y) z) (+ x (+ y z))) 0)

rewrite143.0ms (4.7%)

Memory

1.3MiB live, 47.8MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
0	10	27
1	80	7
2	904	7
0	8966	7

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(hole binary64 0))

Outputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 26 to 10 computations (61.5% saved)

prune1.0ms (0%)

Memory

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

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Accuracy

100.0%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))

Compiler

Compiled 37 to 25 computations (32.4% saved)

regimes4.0ms (0.1%)

Memory

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

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))
(-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z)))

Outputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))

Calls

4 calls:

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

Results

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

Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify50.0ms (1.7%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	19	3
2	62	3
3	248	3
4	952	3
5	1281	3
6	2251	3
7	3765	3
8	6074	3

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))

Outputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))

derivations25.0ms (0.8%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 13 to 10 computations (23.1% saved)

preprocess65.0ms (2.2%)

Memory

-19.1MiB live, 26.7MiB allocated; 4ms collecting garbage

Remove

(sort x y z)

(negabs z)

(negabs y)

(negabs x)

(abs z)

(abs y)

(abs x)

Compiler

Compiled 230 to 176 computations (23.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.2s (73.4%)

explain155.0ms (5.1%)

preprocess172.0ms (5.7%)

eval0.0ms (0%)

prune0.0ms (0%)

series18.0ms (0.6%)

rewrite157.0ms (5.2%)

eval9.0ms (0.3%)

prune2.0ms (0.1%)

series0.0ms (0%)

rewrite143.0ms (4.7%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes4.0ms (0.1%)

simplify50.0ms (1.7%)

derivations25.0ms (0.8%)

preprocess65.0ms (2.2%)

end0.0ms (0%)

Profiling