Metrics for Commute and associate

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample1.6s (71.7%)

Memory

59.3MiB live, 1 085.7MiB allocated; 995ms collecting garbage

Samples

819.0ms	4 088×	2	valid
467.0ms	4 168×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 951.0ms

ival-add!: 471.0ms (49.5% of total)

adjust: 443.0ms (46.6% of total)

ival-sub!: 38.0ms (4% of total)

Bogosity

explain162.0ms (7.3%)

Memory

12.7MiB live, 200.7MiB allocated; 33ms 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

49.0ms	248×	2	valid
25.0ms	264×	1	valid

Compiler

Compiled 75 to 28 computations (62.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

adjust: 23.0ms (60.3% of total)

ival-add!: 12.0ms (31.4% of total)

ival-sub!: 3.0ms (7.9% of total)

preprocess39.0ms (1.8%)

Memory

-28.9MiB live, 15.9MiB allocated; 9ms 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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs x)

(abs y)

(abs z)

(negabs x)

(negabs y)

(negabs z)

(sort x y z)

Compiler

Compiled 22 to 16 computations (27.3% saved)

series4.0ms (0.2%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms 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
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	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))

rewrite175.0ms (7.9%)

Memory

-0.0MiB live, 96.0MiB allocated; 16ms 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 (.f64 (+.f64 z y) (+.f64 z y)) (.f64 x x)) (-.f64 (+.f64 z y) x))
(/.f64 (-.f64 (.f64 z z) (.f64 (+.f64 y x) (+.f64 y x))) (-.f64 z (+.f64 y x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (+.f64 z y) x) (-.f64 (+.f64 y x) z))) (neg.f64 (-.f64 (+.f64 y x) z)))
(/.f64 (neg.f64 (*.f64 (+.f64 (+.f64 z y) x) (-.f64 (-.f64 x z) y))) (neg.f64 (-.f64 (-.f64 x z) y)))
(/.f64 (neg.f64 (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 z z) z))) (neg.f64 (fma.f64 (+.f64 y x) (+.f64 y x) (.f64 z (-.f64 z (+.f64 y x))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (+.f64 z y) (+.f64 z y)) (+.f64 z y) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (.f64 x x))))
(/.f64 (*.f64 (+.f64 (+.f64 z y) x) (-.f64 (+.f64 y x) z)) (-.f64 (+.f64 y x) z))
(/.f64 (*.f64 (+.f64 (+.f64 z y) x) (-.f64 (-.f64 x z) y)) (-.f64 (-.f64 x z) y))
(/.f64 (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 z z) z)) (fma.f64 z z (-.f64 (.f64 (+.f64 y x) (+.f64 y x)) (*.f64 (+.f64 y x) z))))
(/.f64 (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 z z) z)) (fma.f64 (+.f64 y x) (+.f64 y x) (.f64 z (-.f64 z (+.f64 y x)))))
(/.f64 (fma.f64 (.f64 (+.f64 z y) (+.f64 z y)) (+.f64 z y) (.f64 (.f64 x x) x)) (fma.f64 (+.f64 z y) (+.f64 z y) (-.f64 (.f64 x x) (*.f64 (+.f64 z y) x))))
(/.f64 (fma.f64 (.f64 (+.f64 z y) (+.f64 z y)) (+.f64 z y) (.f64 (.f64 x x) x)) (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (.f64 x x)))
(-.f64 (/.f64 (.f64 (+.f64 y x) (+.f64 y x)) (-.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 (.f64 (+.f64 z y) (+.f64 z y)) (-.f64 (-.f64 x z) y)))
(+.f64 (/.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) (fma.f64 (+.f64 y x) (+.f64 y x) (.f64 z (-.f64 z (+.f64 y x))))) (/.f64 (.f64 (.f64 z z) z) (fma.f64 (+.f64 y x) (+.f64 y x) (.f64 z (-.f64 z (+.f64 y x))))))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (.f64 x x))) (/.f64 (.f64 (.f64 (+.f64 z y) (+.f64 z y)) (+.f64 z y)) (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 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 y (-.f64 y x) (.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (fma.f64 y y (-.f64 (.f64 x x) (*.f64 y x))))
(/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (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 (.f64 (.f64 x x) x) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 y (-.f64 y x) (.f64 x x))))
(+.f64 y x)
(+.f64 x y)
x
y
z
(/.f64 (-.f64 (.f64 (+.f64 z y) (+.f64 z y)) (.f64 x x)) (-.f64 (+.f64 z y) x))
(/.f64 (-.f64 (.f64 z z) (.f64 (+.f64 y x) (+.f64 y x))) (-.f64 z (+.f64 y x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (+.f64 z y) x) (-.f64 (+.f64 y x) z))) (neg.f64 (-.f64 (+.f64 y x) z)))
(/.f64 (neg.f64 (*.f64 (+.f64 (+.f64 z y) x) (-.f64 (-.f64 x z) y))) (neg.f64 (-.f64 (-.f64 x z) y)))
(/.f64 (neg.f64 (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 z z) z))) (neg.f64 (fma.f64 (+.f64 y x) (+.f64 y x) (.f64 z (-.f64 z (+.f64 y x))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (+.f64 z y) (+.f64 z y)) (+.f64 z y) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (.f64 x x))))
(/.f64 (*.f64 (+.f64 (+.f64 z y) x) (-.f64 (+.f64 y x) z)) (-.f64 (+.f64 y x) z))
(/.f64 (*.f64 (+.f64 (+.f64 z y) x) (-.f64 (-.f64 x z) y)) (-.f64 (-.f64 x z) y))
(/.f64 (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 z z) z)) (fma.f64 z z (-.f64 (.f64 (+.f64 y x) (+.f64 y x)) (*.f64 (+.f64 y x) z))))
(/.f64 (fma.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (.f64 (.f64 z z) z)) (fma.f64 (+.f64 y x) (+.f64 y x) (.f64 z (-.f64 z (+.f64 y x)))))
(/.f64 (fma.f64 (.f64 (+.f64 z y) (+.f64 z y)) (+.f64 z y) (.f64 (.f64 x x) x)) (fma.f64 (+.f64 z y) (+.f64 z y) (-.f64 (.f64 x x) (*.f64 (+.f64 z y) x))))
(/.f64 (fma.f64 (.f64 (+.f64 z y) (+.f64 z y)) (+.f64 z y) (.f64 (.f64 x x) x)) (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (.f64 x x)))
(-.f64 (/.f64 (.f64 (+.f64 y x) (+.f64 y x)) (-.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 (.f64 (+.f64 z y) (+.f64 z y)) (-.f64 (-.f64 x z) y)))
(+.f64 (/.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) (fma.f64 (+.f64 y x) (+.f64 y x) (.f64 z (-.f64 z (+.f64 y x))))) (/.f64 (.f64 (.f64 z z) z) (fma.f64 (+.f64 y x) (+.f64 y x) (.f64 z (-.f64 z (+.f64 y x))))))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (.f64 x x))) (/.f64 (.f64 (.f64 (+.f64 z y) (+.f64 z y)) (+.f64 z y)) (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 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (neg.f64 (fma.f64 z (-.f64 z y) (.f64 y y))))
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (-.f64 y z))
(/.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) (fma.f64 z z (-.f64 (.f64 y y) (*.f64 z y))))
(/.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) (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 (.f64 (.f64 y y) y) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (.f64 (.f64 z z) z) (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) (-.f64 (/.f64 (+.f64 z y) (neg.f64 x)) #s(literal 1 binary64))))
#s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))
#s(approx (+ x (+ y z)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 z y) (neg.f64 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) (-.f64 (/.f64 (+.f64 z x) (neg.f64 y)) #s(literal 1 binary64))))
#s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))
#s(approx (+ x (+ y z)) (*.f64 (neg.f64 y) (-.f64 (/.f64 (+.f64 z x) (neg.f64 y)) #s(literal 1 binary64))))
#s(approx (+ y z) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 z) y) #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) (-.f64 (/.f64 (+.f64 y x) (neg.f64 z)) #s(literal 1 binary64))))
#s(approx (+ x (+ y z)) (*.f64 (neg.f64 z) (-.f64 (/.f64 (+.f64 y x) (neg.f64 z)) #s(literal 1 binary64))))
#s(approx (+ y z) (*.f64 (neg.f64 z) (-.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64))))

eval7.0ms (0.3%)

Memory: 5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 672 to 317 computations (81% saved)

prune2.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB 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	z	@	inf	((- (+ (+ x y) z) (+ x (+ y z))) 0)
0.0ms	y	@	-inf	((- (+ (+ x y) z) (+ x (+ y z))) 0)

rewrite149.0ms (6.7%)

Memory

3.2MiB live, 47.8MiB allocated; 5ms 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 (0.2%)

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)

derivations25.0ms (1.1%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 13 to 10 computations (23.1% saved)

preprocess63.0ms (2.8%)

Memory

-19.3MiB live, 26.5MiB allocated; 3ms 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%)

sample1.6s (71.7%)

explain162.0ms (7.3%)

preprocess39.0ms (1.8%)

series4.0ms (0.2%)

rewrite175.0ms (7.9%)

eval7.0ms (0.3%)

prune2.0ms (0.1%)

series0.0ms (0%)

rewrite149.0ms (6.7%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes4.0ms (0.2%)

derivations25.0ms (1.1%)

preprocess63.0ms (2.8%)

end0.0ms (0%)

Profiling