Metrics for Commute and associate

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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 (69.9%)

Memory

65.5MiB live, 1 322.2MiB allocated; 1.0s collecting garbage

Samples

1.1s	4 021×	2	valid
652.0ms	4 231×	1	valid
0.0ms	4×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

adjust: 637.0ms (55% of total)

ival-add: 429.0ms (37.1% of total)

ival-sub: 82.0ms (7.1% of total)

ival-true: 6.0ms (0.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain168.0ms (5.4%)

Memory

-4.6MiB live, 185.9MiB allocated; 30ms 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

51.0ms	306×	1	valid
51.0ms	206×	2	valid

Compiler

Compiled 75 to 28 computations (62.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

adjust: 43.0ms (55.5% of total)

ival-add: 29.0ms (37.4% of total)

ival-sub: 5.0ms (6.5% of total)

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

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

preprocess191.0ms (6.2%)

Memory

11.3MiB live, 100.7MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	117
1	86	9
2	313	9
3	1160	9
4	4737	9
5	5666	9
6	7234	9
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 z)

(abs y)

(abs x)

(negabs z)

(negabs y)

(negabs x)

(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)

series3.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Counts

8 → 22

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
0
(+ y z)
(+ x (+ y z))
y
(+ x y)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x z)
z
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ z y)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (/ y z)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -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))
0.0ms	x	@	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))
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))

simplify97.0ms (3.2%)

Memory

-23.1MiB live, 23.1MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	72
1	183	72
2	483	72
3	1328	72
4	6441	72
0	8262	72

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 19

Calls

Call 1

Inputs
0
(+ y z)
(+ x (+ y z))
y
(+ x y)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x z)
z
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ z y)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (/ y z)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))

Outputs
0
#s(literal 0 binary64)
(+ y z)
(+.f64 z y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
y
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z x) y)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(+ x z)
(+.f64 z x)
z
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 z x) y)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z x) y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)

rewrite175.0ms (5.7%)

Memory

-6.8MiB live, 56.1MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	30
0	13	30
1	83	20
2	901	20
0	8792	20

Stop Event

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

Counts

8 → 170

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

eval11.0ms (0.3%)

Memory: 9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 996 to 526 computations (86.8% saved)

prune2.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	1	121

Accuracy

100.0%

Counts

121 → 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

0.2MiB live, 0.2MiB 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
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	y	@	-inf	((- (+ (+ x y) z) (+ x (+ y z))) 0)

simplify2.0ms (0.1%)

Memory

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
0	1	1

Stop Event

1×	saturated
1×	saturated

Counts

1 → 1

Calls

Call 1

Inputs
0

Outputs
0
#s(literal 0 binary64)

rewrite134.0ms (4.3%)

Memory

2.8MiB live, 47.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	14
0	10	14
1	80	4
2	904	4
0	8966	4

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Counts

2 → 2

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(literal 0 binary64))
#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)

simplify49.0ms (1.6%)

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))

derivations29.0ms (0.9%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 13 to 10 computations (23.1% saved)

preprocess60.0ms (2%)

Memory

-20.4MiB live, 26.1MiB allocated; 2ms collecting garbage

Remove

(sort x y z)

(negabs x)

(negabs y)

(negabs z)

(abs x)

(abs y)

(abs z)

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 (69.9%)

explain168.0ms (5.4%)

preprocess191.0ms (6.2%)

eval0.0ms (0%)

prune0.0ms (0%)

series3.0ms (0.1%)

simplify97.0ms (3.2%)

rewrite175.0ms (5.7%)

eval11.0ms (0.3%)

prune2.0ms (0.1%)

series0.0ms (0%)

simplify2.0ms (0.1%)

rewrite134.0ms (4.3%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes4.0ms (0.1%)

simplify49.0ms (1.6%)

derivations29.0ms (0.9%)

preprocess60.0ms (2%)

end0.0ms (0%)

Profiling