Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

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 17 to 11 computations (35.3% saved)

sample1.4s (28.1%)

Memory

20.6MiB live, 1 928.0MiB allocated

Samples

600.0ms	5 814×	0	valid
444.0ms	2 388×	1	valid
19.0ms	54×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 688.0ms

ival-mult: 478.0ms (69.4% of total)

ival-sub: 98.0ms (14.2% of total)

adjust: 54.0ms (7.8% of total)

ival-add: 49.0ms (7.1% of total)

ival-true: 6.0ms (0.9% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain142.0ms (2.9%)

Memory

-4.1MiB live, 321.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
83	-	-	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`
13	-	-	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`
6	-	-	`(-.f64 (.f64 x y) (.f64 y z))`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`y`
0	-	-	`(*.f64 y y)`
0	-	-	`(*.f64 y z)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`	nan-rescue	53	0
↳	`(-.f64 (.f64 x y) (.f64 y z))`	overflow	48
↳	`(*.f64 y z)`	overflow	31
↳	`(*.f64 x y)`	overflow	29
↳	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`	overflow	78
↳	`(*.f64 y y)`	overflow	59
↳	`(*.f64 y y)`	overflow	59
`+.f64`	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`	cancellation	30	0
`-.f64`	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`	nan-rescue	13	0
↳	`(-.f64 (.f64 x y) (.f64 y z))`	overflow	48
↳	`(*.f64 y z)`	overflow	31
↳	`(*.f64 x y)`	overflow	29
↳	`(*.f64 y y)`	overflow	59
`-.f64`	`(-.f64 (.f64 x y) (.f64 y z))`	nan-rescue	6	0
↳	`(*.f64 x y)`	overflow	29
↳	`(*.f64 y z)`	overflow	31

Confusion

	Predicted +	Predicted -
+	89	0
-	0	167

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	89	0	0
-	0	0	167

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	167
1	77
2	11
3	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

27.0ms	144×	1	valid
23.0ms	358×	0	valid
2.0ms	10×	2	valid

Compiler

Compiled 154 to 40 computations (74% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 12.0ms (47.7% of total)

ival-sub: 6.0ms (23.8% of total)

adjust: 3.0ms (11.9% of total)

ival-add: 3.0ms (11.9% of total)

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

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

preprocess226.0ms (4.6%)

Memory

-9.6MiB live, 187.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	143
1	179	68
2	718	47
3	2359	47
4	5671	47
0	9	15
0	15	15
1	36	7
2	151	5
3	446	5
4	1548	5
5	4494	5
6	5633	5
7	7029	5
8	7553	5
0	8464	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs y)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.3%	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify145.0ms (3%)

Memory

25.1MiB live, 182.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	320	(-.f64 (.f64 x y) (.f64 y z))
cost-diff	320	(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))
cost-diff	704	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	45
0	15	37
1	36	31
2	151	29
3	446	29
4	1548	29
5	4494	29
6	5633	29
7	7029	29
8	7553	29
0	8464	29

Stop Event

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

Calls

Call 1

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

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

localize41.0ms (0.8%)

Memory

0.6MiB live, 83.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	1.460927179151029	(-.f64 (.f64 x y) (.f64 y z))
accuracy	2.7577980508114406	(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))
accuracy	19.70967310793956	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Samples

15.0ms	179×	0	valid
9.0ms	72×	1	valid
1.0ms	5×	2	valid

Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 8.0ms (54.6% of total)

ival-sub: 3.0ms (20.5% of total)

adjust: 2.0ms (13.6% of total)

ival-add: 1.0ms (6.8% of total)

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

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

series9.0ms (0.2%)

Memory

-21.9MiB live, 16.5MiB allocated

Counts

4 → 22

Calls

Call 1

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

Outputs
(* -1 (* y z))
(- (* x y) (* y z))
(* -1 (+ (* y z) (pow y 2)))
(- (* x y) (+ (* y z) (pow y 2)))
(* x y)
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (+ (* y z) (pow y 2)) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (+ (/ (* y z) x) (/ (pow y 2) x)))))
(* y (- x z))
(* y (- (+ x (* -1 y)) z))
(* -1 (pow y 2))
(* (pow y 2) (- (/ x y) (+ 1 (/ z y))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* (pow y 2) (- (* -1 (/ (- (* -1 x) (* -1 z)) y)) 1))
(+ (* -1 (* y z)) (* x y))
(- (* x y) (pow y 2))
(- (+ (* -1 (* y z)) (* x y)) (pow y 2))
(* z (- (/ (* x y) z) y))
(* z (- (/ (* x y) z) (+ y (/ (pow y 2) z))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (- (* x y) (pow y 2)) z)) (* -1 y))))

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (- (- (* x y) (* y z)) (* y y)) (- (* x y) (* y z)) (* x y))
1.0ms	y	@	inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (- (- (* x y) (* y z)) (* y y)) (- (* x y) (* y z)) (* x y))
1.0ms	y	@	0	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (- (- (* x y) (* y z)) (* y y)) (- (* x y) (* y z)) (* x y))
1.0ms	x	@	0	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (- (- (* x y) (* y z)) (* y y)) (- (* x y) (* y z)) (* x y))
1.0ms	x	@	inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (- (- (* x y) (* y z)) (* y y)) (- (* x y) (* y z)) (* x y))

simplify152.0ms (3.1%)

Memory

34.6MiB live, 191.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	197
1	224	153
2	697	149
3	2822	149
4	7731	149
0	8475	149

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

Inputs
(* -1 (* y z))
(- (* x y) (* y z))
(* -1 (+ (* y z) (pow y 2)))
(- (* x y) (+ (* y z) (pow y 2)))
(* x y)
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (+ (* y z) (pow y 2)) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (+ (/ (* y z) x) (/ (pow y 2) x)))))
(* y (- x z))
(* y (- (+ x (* -1 y)) z))
(* -1 (pow y 2))
(* (pow y 2) (- (/ x y) (+ 1 (/ z y))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* (pow y 2) (- (* -1 (/ (- (* -1 x) (* -1 z)) y)) 1))
(+ (* -1 (* y z)) (* x y))
(- (* x y) (pow y 2))
(- (+ (* -1 (* y z)) (* x y)) (pow y 2))
(* z (- (/ (* x y) z) y))
(* z (- (/ (* x y) z) (+ y (/ (pow y 2) z))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (- (* x y) (pow y 2)) z)) (* -1 y))))

Outputs
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(- (* x y) (* y z))
(*.f64 (-.f64 x z) y)
(* -1 (+ (* y z) (pow y 2)))
(*.f64 (+.f64 z y) (neg.f64 y))
(- (* x y) (+ (* y z) (pow y 2)))
(*.f64 (-.f64 (-.f64 x y) z) y)
(* x y)
(*.f64 y x)
(* x (+ y (* -1 (/ (* y z) x))))
(*.f64 (-.f64 x z) y)
(* x (+ y (* -1 (/ (+ (* y z) (pow y 2)) x))))
(*.f64 (-.f64 (-.f64 x y) z) y)
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(*.f64 (-.f64 x z) y)
(* -1 (* x (+ (* -1 y) (+ (/ (* y z) x) (/ (pow y 2) x)))))
(*.f64 (-.f64 (-.f64 x y) z) y)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* y (- (+ x (* -1 y)) z))
(*.f64 (-.f64 (-.f64 x y) z) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ x y) (+ 1 (/ z y))))
(*.f64 (fma.f64 (/.f64 (-.f64 z x) y) y y) (neg.f64 y))
(* -1 (* y (- (* -1 x) (* -1 z))))
(*.f64 (-.f64 x z) y)
(* (pow y 2) (- (* -1 (/ (- (* -1 x) (* -1 z)) y)) 1))
(*.f64 (fma.f64 (/.f64 (-.f64 z x) y) y y) (neg.f64 y))
(+ (* -1 (* y z)) (* x y))
(*.f64 (-.f64 x z) y)
(- (* x y) (pow y 2))
(*.f64 (-.f64 x y) y)
(- (+ (* -1 (* y z)) (* x y)) (pow y 2))
(*.f64 (-.f64 (-.f64 x y) z) y)
(* z (- (/ (* x y) z) y))
(.f64 (-.f64 (/.f64 (.f64 y x) z) y) z)
(* z (- (/ (* x y) z) (+ y (/ (pow y 2) z))))
(*.f64 (fma.f64 (-.f64 y x) (/.f64 y z) y) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(.f64 (-.f64 (/.f64 (.f64 y x) z) y) z)
(* -1 (* z (- (* -1 (/ (- (* x y) (pow y 2)) z)) (* -1 y))))
(*.f64 (fma.f64 (-.f64 y x) (/.f64 y z) y) (neg.f64 z))

rewrite218.0ms (4.4%)

Memory

-11.1MiB live, 306.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	36
0	15	28
1	73	22
2	774	20
0	9595	20

Stop Event

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

Counts

4 → 769

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 y (+.f64 z x)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) (/.f64 (.f64 y (+.f64 z x)) (pow.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 y (+.f64 z x)) y) (/.f64 (*.f64 y (+.f64 z x)) (-.f64 x z)))
(.f64 (/.f64 (.f64 y (+.f64 z x)) y) (/.f64 (*.f64 y (+.f64 z x)) (+.f64 x z)))
(.f64 (/.f64 (.f64 y (+.f64 z x)) (-.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (.f64 y (+.f64 z x)) (pow.f64 (-.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z))) #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 y (+.f64 z x)) #s(literal -1 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 y (+.f64 z x)))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(.f64 (neg.f64 (pow.f64 (.f64 y (+.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (-.f64 x z))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z) (neg.f64 (pow.f64 (*.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64))))))
(.f64 (pow.f64 (.f64 y (+.f64 z x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 y (+.f64 z x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (.f64 y (+.f64 z x)) (pow.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 y (+.f64 z x)) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 z y) x) y))))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z))) (.f64 (.f64 y (+.f64 z x)) (pow.f64 (-.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 y (-.f64 (-.f64 x z) y)) (*.f64 y (+.f64 z x))))))
(.f64 (-.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (+.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z))) #s(literal -1 binary64)))
(.f64 (.f64 y (+.f64 z x)) (.f64 (.f64 y (+.f64 z x)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal -1 binary64))))
(*.f64 y (-.f64 x (neg.f64 z)))
(*.f64 y (fma.f64 #s(literal -1 binary64) z x))
(*.f64 y (+.f64 z x))
(*.f64 y (-.f64 x z))
(*.f64 y (+.f64 x z))
(pow.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (+.f64 z x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (+.f64 z x)))) (.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 y (+.f64 z x))) (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 y (+.f64 z x))))) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (+.f64 z x))) (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 y (+.f64 z x)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) (*.f64 y (+.f64 z x)))
(/.f64 (-.f64 (.f64 (.f64 y (+.f64 y x)) (.f64 y (+.f64 y x))) (pow.f64 (.f64 y (+.f64 y z)) #s(literal 2 binary64))) (*.f64 y (+.f64 z x)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 y (+.f64 z x))) (/.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 y (+.f64 z x)))) (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y (+.f64 z x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y (+.f64 z x))))) (*.f64 y (+.f64 z x)))
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(-.f64 (fma.f64 y x #s(literal 0 binary64)) (*.f64 z y))
(-.f64 (/.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z)))))
(-.f64 (.f64 y (+.f64 y x)) (.f64 y (+.f64 y z)))
(-.f64 (/.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (-.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z) (neg.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 y (+.f64 z x)) #s(literal 2 binary64)) (.f64 y (-.f64 (-.f64 x z) y))) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y (-.f64 (-.f64 x z) y))) (.f64 y y)))
(-.f64 (/.f64 (pow.f64 (.f64 y (+.f64 z x)) #s(literal 2 binary64)) (.f64 y (-.f64 (-.f64 x z) y))) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y (-.f64 (-.f64 x z) y))) (.f64 (neg.f64 y) y)))
(-.f64 (/.f64 (pow.f64 (.f64 y (+.f64 z x)) #s(literal 2 binary64)) (.f64 y (-.f64 (-.f64 x z) y))) (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y (-.f64 (-.f64 x z) y))) (.f64 (neg.f64 y) y)))
(-.f64 (/.f64 (pow.f64 (.f64 y (+.f64 z x)) #s(literal 2 binary64)) (.f64 y (-.f64 (-.f64 x z) y))) (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y (-.f64 (-.f64 x z) y))) (.f64 y y)))
(-.f64 (/.f64 (pow.f64 (.f64 y (+.f64 z x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z)))) (+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z)))) (.f64 y y)))
(-.f64 (/.f64 (pow.f64 (.f64 y (+.f64 z x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z)))) (+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z)))) (.f64 (neg.f64 y) y)))
(-.f64 (/.f64 (pow.f64 (.f64 y (+.f64 z x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z)))) (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z)))) (.f64 (neg.f64 y) y)))
(-.f64 (/.f64 (pow.f64 (.f64 y (+.f64 z x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z)))) (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z)))) (.f64 y y)))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (+.f64 z x))) (+.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 y (+.f64 z x))) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (+.f64 z x))) (-.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 y (+.f64 z x))) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (+.f64 z x))) (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 y (+.f64 z x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (-.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y (+.f64 z x))) (/.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (-.f64 x z))))
(-.f64 (/.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 y (+.f64 z x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y (+.f64 z x))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 z y) (.f64 y x)))
(-.f64 (.f64 (neg.f64 y) z) (.f64 (neg.f64 y) x))
(-.f64 (.f64 y (-.f64 (-.f64 x z) y)) (.f64 (neg.f64 y) y))
(-.f64 (.f64 y (-.f64 (-.f64 x z) y)) (.f64 y y))
(-.f64 (.f64 y y) (neg.f64 (.f64 y (-.f64 (-.f64 x z) y))))
(-.f64 (.f64 y (+.f64 z x)) (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 y (+.f64 z x)) #s(literal 2 binary64))))
(-.f64 (.f64 y (+.f64 z x)) (/.f64 #s(literal 0 binary64) (.f64 y (+.f64 z x))))
(-.f64 (*.f64 y (+.f64 z x)) #s(literal 0 binary64))
(-.f64 (.f64 z y) (.f64 (neg.f64 y) x))
(-.f64 (.f64 y x) (fma.f64 y (-.f64 z y) (.f64 y y)))
(-.f64 (.f64 y x) (-.f64 (.f64 y (-.f64 z y)) (*.f64 (neg.f64 y) y)))
(-.f64 (.f64 y x) (.f64 (neg.f64 (neg.f64 z)) y))
(-.f64 (.f64 y x) (.f64 #s(literal 1 binary64) (*.f64 z y)))
(-.f64 (.f64 y x) (.f64 (neg.f64 z) (neg.f64 y)))
(-.f64 (.f64 y x) (.f64 (neg.f64 y) (neg.f64 z)))
(-.f64 (.f64 y x) (.f64 (neg.f64 y) z))
(-.f64 (.f64 y x) (.f64 z y))
(+.f64 (-.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 0 binary64)) (.f64 y y))
(+.f64 (-.f64 (.f64 y x) #s(literal 0 binary64)) (.f64 z y))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 y (-.f64 (-.f64 x z) y)) (.f64 y (+.f64 z x))))) (/.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 y (-.f64 (-.f64 x z) y)) (*.f64 y (+.f64 z x))))))
(+.f64 (/.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 y (-.f64 (-.f64 x z) y)) (.f64 y (+.f64 z x))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 y (-.f64 (-.f64 x z) y)) (*.f64 y (+.f64 z x))))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (-.f64 (pow.f64 (.f64 y (+.f64 z x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 z y) x) y))) (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (-.f64 (pow.f64 (.f64 y (+.f64 z x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 z y) x) y))))
(+.f64 (.f64 y (+.f64 y x)) (.f64 y (+.f64 y z)))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z) (neg.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (-.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z)))))
(+.f64 (/.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (-.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z) (neg.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (+.f64 z x))) (neg.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 y (+.f64 z x)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (+.f64 z x))) (/.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (.f64 y (+.f64 z x))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 y (+.f64 z x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y (+.f64 z x)))))
(+.f64 (/.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 y (+.f64 z x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y (+.f64 z x))))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 z x)))
(+.f64 (.f64 (neg.f64 y) y) (.f64 y (-.f64 (-.f64 x z) y)))
(+.f64 (.f64 (neg.f64 y) z) (-.f64 (.f64 y x) #s(literal 0 binary64)))
(+.f64 (*.f64 (neg.f64 y) z) (fma.f64 y x #s(literal 0 binary64)))
(+.f64 (.f64 (neg.f64 y) z) (.f64 y x))
(+.f64 (.f64 y (-.f64 (-.f64 x z) y)) (.f64 (neg.f64 y) y))
(+.f64 (.f64 y (-.f64 (-.f64 x z) y)) (.f64 y y))
(+.f64 (.f64 y y) (.f64 y (-.f64 (-.f64 x z) y)))
(+.f64 (*.f64 y (+.f64 z x)) #s(literal 0 binary64))
(+.f64 (.f64 z y) (.f64 y x))
(+.f64 (.f64 y x) (-.f64 (.f64 y (-.f64 z y)) (*.f64 y y)))
(+.f64 (.f64 y x) (fma.f64 y (-.f64 z y) (.f64 (neg.f64 y) y)))
(+.f64 (.f64 y x) (.f64 (neg.f64 (neg.f64 z)) y))
(+.f64 (.f64 y x) (.f64 #s(literal 1 binary64) (*.f64 z y)))
(+.f64 (.f64 y x) (.f64 (neg.f64 z) (neg.f64 y)))
(+.f64 (.f64 y x) (.f64 (neg.f64 y) (neg.f64 z)))
(+.f64 (.f64 y x) (.f64 (neg.f64 y) z))
(+.f64 (.f64 y x) (.f64 z y))
(*.f64 y x)
(*.f64 x y)

eval58.0ms (1.2%)

Memory: 17.3MiB live, 130.9MiB allocated
Compiler: Compiled 12 378 to 1 098 computations (91.1% saved)

prune10.0ms (0.2%)

Memory

1.8MiB live, 37.7MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	493	3	496
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	494	3	497

Accuracy

100.0%

Counts

497 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(fma.f64 y x (*.f64 (neg.f64 y) z))
▶	100.0%	(*.f64 y (-.f64 x z))
▶	52.0%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify209.0ms (4.3%)

Memory

-12.4MiB live, 121.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) z)
cost-diff	320	(fma.f64 y x (*.f64 (neg.f64 y) z))
cost-diff	0	(-.f64 x z)
cost-diff	0	(*.f64 y (-.f64 x z))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) y)
cost-diff	0	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	55
0	25	53
1	62	45
2	202	43
3	631	43
4	1968	43
5	4039	43
6	5108	43
7	6453	43
8	6994	43
0	8014	43

Stop Event

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

Calls

Call 1

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

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

localize53.0ms (1.1%)

Memory

6.0MiB live, 80.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (neg.f64 y) z)
accuracy	0	(neg.f64 y)
accuracy	1.2538924880278013	(fma.f64 y x (*.f64 (neg.f64 y) z))
accuracy	0	(-.f64 x z)
accuracy	0.02734375	(*.f64 y (-.f64 x z))
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	30.737624635701646	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))

Samples

23.0ms	179×	0	valid
19.0ms	72×	1	valid
1.0ms	5×	2	valid

Compiler

Compiled 108 to 36 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 13.0ms (45.5% of total)

ival-sub: 8.0ms (28% of total)

adjust: 3.0ms (10.5% of total)

ival-add: 3.0ms (10.5% of total)

ival-neg: 2.0ms (7% of total)

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

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

series12.0ms (0.2%)

Memory

-23.5MiB live, 14.3MiB allocated

Counts

8 → 23

Calls

Call 1

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

Outputs
(* -1 (* y z))
(- (* x y) (* y z))
(+ (* -1 (* y z)) (* x y))
(* -1 z)
(- x z)
(* x y)
(* x (+ y (* -1 (/ (* y z) x))))
x
(* x (+ 1 (* -1 (/ z x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (- (/ z x) 1)))
(* y (- x z))
(* y (+ x (* -1 z)))
(* -1 y)
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (+ z (* -1 x))))
(+ x (* -1 z))
(* z (- (/ (* x y) z) y))
(* z (+ (* -1 y) (/ (* x y) z)))
(* z (- (/ x z) 1))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (* y (- x z)) (- x z) (+ (* y x) (* (neg y) z)) (* (neg y) z) (neg y))
2.0ms	z	@	0	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (* y (- x z)) (- x z) (+ (* y x) (* (neg y) z)) (* (neg y) z) (neg y))
1.0ms	y	@	inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (* y (- x z)) (- x z) (+ (* y x) (* (neg y) z)) (* (neg y) z) (neg y))
1.0ms	y	@	0	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (* y (- x z)) (- x z) (+ (* y x) (* (neg y) z)) (* (neg y) z) (neg y))
1.0ms	z	@	inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (* y (- x z)) (- x z) (+ (* y x) (* (neg y) z)) (* (neg y) z) (neg y))

simplify329.0ms (6.7%)

Memory

4.7MiB live, 91.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	114
1	201	90
2	554	90
3	1574	90
4	3256	90
5	5403	90
6	6848	90
7	7728	90
0	8024	90

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

Outputs
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(- (* x y) (* y z))
(*.f64 (-.f64 x z) y)
(+ (* -1 (* y z)) (* x y))
(*.f64 (-.f64 x z) y)
(* -1 z)
(neg.f64 z)
(- x z)
(-.f64 x z)
(* x y)
(*.f64 y x)
(* x (+ y (* -1 (/ (* y z) x))))
(*.f64 (-.f64 x z) y)
x
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(*.f64 (-.f64 x z) y)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* y (+ x (* -1 z)))
(*.f64 (-.f64 x z) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- (* -1 x) (* -1 z))))
(*.f64 (-.f64 x z) y)
(* -1 (* y (+ z (* -1 x))))
(*.f64 (-.f64 x z) y)
(+ x (* -1 z))
(-.f64 x z)
(* z (- (/ (* x y) z) y))
(*.f64 (-.f64 x z) y)
(* z (+ (* -1 y) (/ (* x y) z)))
(*.f64 (-.f64 x z) y)
(* z (- (/ x z) 1))
(-.f64 x z)
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(*.f64 (-.f64 x z) y)
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(*.f64 (-.f64 x z) y)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)

rewrite283.0ms (5.8%)

Memory

25.8MiB live, 178.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	47
0	25	45
1	128	37
2	1193	31
0	9663	31

Stop Event

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

Counts

8 → 553

Calls

Call 1

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

Outputs
#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 z y))
(.f64 #s(literal -1 binary64) (.f64 z y))
(*.f64 (neg.f64 z) y)
(*.f64 z y)
(*.f64 y (neg.f64 z))
(*.f64 y z)
(/.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 z y))
(/.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z y) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 z y) #s(literal 0 binary64)))))
(/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 z y))
(/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 z y)))))
(neg.f64 (*.f64 z y))
(fma.f64 #s(literal -1 binary64) (*.f64 z y) #s(literal 0 binary64))
(fma.f64 (neg.f64 z) y #s(literal 0 binary64))
(fma.f64 z y #s(literal 0 binary64))
(fma.f64 y (neg.f64 z) #s(literal 0 binary64))
(fma.f64 y z #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 (*.f64 z y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 z y))
(+.f64 (*.f64 z y) #s(literal 0 binary64))
(.f64 (neg.f64 (.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 z z))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 z z)) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 z z) (.f64 #s(literal 0 binary64) (neg.f64 z)))))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64)))
(neg.f64 z)
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z z) z))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))
(.f64 (/.f64 (.f64 (-.f64 x z) y) (-.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (/.f64 (.f64 (-.f64 x z) y) (pow.f64 (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (-.f64 x z) y) (-.f64 x z)) (/.f64 (*.f64 (-.f64 x z) y) y))
(.f64 (/.f64 (.f64 (-.f64 x z) y) y) (/.f64 (*.f64 (-.f64 x z) y) (-.f64 x z)))
(.f64 (/.f64 (.f64 (-.f64 x z) y) y) (/.f64 (*.f64 (-.f64 x z) y) (+.f64 z x)))
(.f64 (/.f64 (.f64 (-.f64 x z) y) (-.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (.f64 (-.f64 x z) y) (pow.f64 (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (*.f64 (-.f64 x z) y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (neg.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 x z) y))))
(.f64 (.f64 (*.f64 (+.f64 z x) (-.f64 x z)) y) (pow.f64 (+.f64 z x) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 y (*.f64 (+.f64 z x) (-.f64 x z))) (pow.f64 (+.f64 z x) #s(literal -1 binary64)))
(.f64 (.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (neg.f64 (fma.f64 (-.f64 x z) y (*.f64 y y))))))
(.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 x z) y) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (*.f64 (-.f64 x z) y) #s(literal 2 binary64))))))
(.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 x z) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 x z) y) #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) z) y)))))
(.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 2 binary64)) (.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y))))))
(.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (*.f64 (-.f64 x z) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 x z) y)
(*.f64 y (+.f64 z x))
(*.f64 y (-.f64 x z))
(pow.f64 (pow.f64 (*.f64 (-.f64 x z) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 y (/.f64 (.f64 x x) (+.f64 z x))) (.f64 y (/.f64 (.f64 x x) (+.f64 z x)))) (.f64 (.f64 y (/.f64 (.f64 z z) (+.f64 z x))) (.f64 y (/.f64 (.f64 z z) (+.f64 z x))))) (*.f64 (-.f64 x z) y))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) (*.f64 (-.f64 x z) y))
(/.f64 (-.f64 (.f64 (fma.f64 y y (.f64 y x)) (fma.f64 y y (.f64 y x))) (pow.f64 (.f64 y (-.f64 z y)) #s(literal 2 binary64))) (+.f64 (fma.f64 y y (.f64 y x)) (.f64 y (-.f64 z y))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 2 binary64)) (.f64 (-.f64 x z) y)) (/.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 2 binary64)) (.f64 (-.f64 x z) y))) (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x z) y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x z) y)))) (*.f64 (-.f64 x z) y))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (fma.f64 y (-.f64 z y) (.f64 y y)) (fma.f64 y (-.f64 z y) (.f64 y y)))) (fma.f64 y x (fma.f64 y (-.f64 z y) (*.f64 y y))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)))))) (*.f64 (-.f64 x z) y))
(/.f64 (-.f64 (pow.f64 (.f64 y (/.f64 (.f64 x x) (+.f64 z x))) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 (.f64 z z) (+.f64 z x))) #s(literal 3 binary64))) (fma.f64 (.f64 y (/.f64 (.f64 x x) (+.f64 z x))) (.f64 y (/.f64 (.f64 x x) (+.f64 z x))) (fma.f64 (.f64 y (/.f64 (.f64 z z) (+.f64 z x))) (.f64 y (/.f64 (.f64 z z) (+.f64 z x))) (.f64 (.f64 y (/.f64 (.f64 x x) (+.f64 z x))) (.f64 y (/.f64 (*.f64 z z) (+.f64 z x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (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 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 z y) (*.f64 (neg.f64 x) y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 y x)) #s(literal 3 binary64)) (pow.f64 (.f64 y (-.f64 z y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 y y (.f64 y x)) (fma.f64 y y (.f64 y x)) (+.f64 (pow.f64 (.f64 y (-.f64 z y)) #s(literal 2 binary64)) (.f64 (fma.f64 y y (.f64 y x)) (.f64 y (-.f64 z y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 2 binary64)) (.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x z) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 2 binary64)) (.f64 (-.f64 x z) y)) (/.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 2 binary64)) (.f64 (-.f64 x z) y)) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x z) y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x z) y)) (.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 2 binary64)) (.f64 (-.f64 x z) y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x z) y))))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 y (-.f64 z y) (.f64 y y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y (-.f64 z y) (.f64 y y)) (fma.f64 y (-.f64 z y) (.f64 y y)) (.f64 (.f64 y x) (fma.f64 y (-.f64 z y) (.f64 y y))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (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 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 z x) (-.f64 x z)) y)) (neg.f64 (+.f64 z x)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 z (+.f64 z x) (.f64 x x))))
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(fma.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 2 binary64)) (.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (*.f64 y y))))) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (*.f64 (-.f64 x z) y) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (*.f64 (-.f64 x z) y) #s(literal 2 binary64)))))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(fma.f64 (neg.f64 z) y (neg.f64 (*.f64 (neg.f64 x) y)))
(fma.f64 (neg.f64 z) y (neg.f64 (*.f64 y x)))
(fma.f64 (neg.f64 z) y (*.f64 y x))
(fma.f64 (.f64 y y) #s(literal 1 binary64) (fma.f64 (-.f64 x z) y (.f64 y y)))
(fma.f64 z y (neg.f64 (*.f64 (neg.f64 x) y)))
(fma.f64 z y (neg.f64 (*.f64 y x)))
(fma.f64 z y (*.f64 y x))
(fma.f64 y (/.f64 (.f64 x x) (+.f64 z x)) (neg.f64 (.f64 y (/.f64 (*.f64 z z) (+.f64 z x)))))
(fma.f64 y (/.f64 (.f64 x x) (+.f64 z x)) (.f64 y (/.f64 (*.f64 z z) (+.f64 z x))))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(fma.f64 y (neg.f64 z) (neg.f64 (*.f64 (neg.f64 x) y)))
(fma.f64 y (neg.f64 z) (neg.f64 (*.f64 y x)))
(fma.f64 y (neg.f64 z) (*.f64 y x))
(fma.f64 y z (neg.f64 (*.f64 (neg.f64 x) y)))
(fma.f64 y z (neg.f64 (*.f64 y x)))
(fma.f64 y z (*.f64 y x))
(fma.f64 y y (fma.f64 (-.f64 x z) y (*.f64 y y)))
(fma.f64 y x (neg.f64 (fma.f64 y (-.f64 z y) (*.f64 y y))))
(fma.f64 y x (*.f64 z y))
(fma.f64 x y (neg.f64 (fma.f64 y (-.f64 z y) (*.f64 y y))))
(fma.f64 x y (*.f64 z y))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) z) y)))) (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) z) y)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (neg.f64 (fma.f64 (-.f64 x z) y (.f64 y y))))) (/.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 2 binary64)) (fma.f64 y y (neg.f64 (fma.f64 (-.f64 x z) y (*.f64 y y))))))
(-.f64 (fma.f64 y y (.f64 y x)) (.f64 y (-.f64 z y)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (*.f64 (-.f64 x z) y) #s(literal 2 binary64)))))
(-.f64 (.f64 y (/.f64 (.f64 z z) (+.f64 z x))) (.f64 y (/.f64 (.f64 x x) (+.f64 z x))))
(-.f64 (.f64 y (/.f64 (.f64 x x) (+.f64 z x))) (.f64 y (/.f64 (.f64 z z) (+.f64 z x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 2 binary64)) (.f64 (-.f64 x z) y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x z) y)))
(-.f64 (.f64 z y) (.f64 (neg.f64 x) y))
(-.f64 (.f64 z y) (.f64 y x))
(-.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y))
(-.f64 (.f64 y y) (.f64 (neg.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal -1 binary64))))
(-.f64 (.f64 y y) (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(-.f64 (.f64 (-.f64 x z) y) (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64))))
(-.f64 (.f64 (-.f64 x z) y) (/.f64 #s(literal 0 binary64) (.f64 (-.f64 x z) y)))
(-.f64 (*.f64 (-.f64 x z) y) #s(literal 0 binary64))
(-.f64 (.f64 y x) (.f64 #s(literal 1 binary64) (*.f64 z y)))
(-.f64 (.f64 y x) (fma.f64 y (-.f64 z y) (.f64 y y)))
(-.f64 (.f64 y x) (.f64 z y))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 2 binary64)) (.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y))))) (/.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 2 binary64)) (.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (*.f64 y y))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 2 binary64)) (.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 2 binary64)) (.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (*.f64 y y))))))
(+.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) z) y)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) z) y)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) z) y)))) (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) z) y)))))
(+.f64 (fma.f64 y y (.f64 y x)) (neg.f64 (.f64 y (-.f64 z y))))
(+.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (*.f64 (-.f64 x z) y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y) (pow.f64 (*.f64 (-.f64 x z) y) #s(literal 2 binary64)))))
(+.f64 (.f64 y (/.f64 (.f64 x x) (+.f64 z x))) (neg.f64 (.f64 y (/.f64 (.f64 z z) (+.f64 z x)))))
(+.f64 (.f64 y (/.f64 (.f64 x x) (+.f64 z x))) (.f64 y (/.f64 (.f64 z z) (+.f64 z x))))
(+.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 (-.f64 x z) y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 2 binary64)) (.f64 (-.f64 x z) y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x z) y))))
(+.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 2 binary64)) (.f64 (-.f64 x z) y)) (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 x z) y)))
(+.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) #s(literal 2 binary64)) (.f64 (-.f64 x z) y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x z) y)))
(+.f64 (.f64 z y) (neg.f64 (.f64 (neg.f64 x) y)))
(+.f64 (.f64 z y) (neg.f64 (.f64 y x)))
(+.f64 (.f64 z y) (.f64 y x))
(+.f64 (fma.f64 (-.f64 x z) y (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (fma.f64 (-.f64 x z) y (.f64 y y)))
(+.f64 (*.f64 (-.f64 x z) y) #s(literal 0 binary64))
(+.f64 (.f64 y x) (neg.f64 (fma.f64 y (-.f64 z y) (.f64 y y))))
(+.f64 (.f64 y x) (.f64 z y))
(.f64 #s(literal -1 binary64) (.f64 z y))
(*.f64 (neg.f64 z) y)
(*.f64 z y)
(*.f64 y (neg.f64 z))
(*.f64 y z)
(/.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 z y))
(/.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 z y) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 z y) #s(literal 0 binary64)))))
(/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 z y))
(/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 z y)))))
(neg.f64 (*.f64 z y))
(fma.f64 #s(literal -1 binary64) (*.f64 z y) #s(literal 0 binary64))
(fma.f64 (neg.f64 z) y #s(literal 0 binary64))
(fma.f64 z y #s(literal 0 binary64))
(fma.f64 y (neg.f64 z) #s(literal 0 binary64))
(fma.f64 y z #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 (*.f64 z y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 z y))
(+.f64 (*.f64 z y) #s(literal 0 binary64))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) y)
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) y)
(.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) y))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/2 binary64))
(pow.f64 y #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))
(/.f64 (*.f64 y y) y)
(neg.f64 y)
(sqrt.f64 (*.f64 y y))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) y)
(-.f64 #s(literal 0 binary64) y)
(fabs.f64 (-.f64 y #s(literal 0 binary64)))
(fabs.f64 y)
(exp.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) y)
y

eval43.0ms (0.9%)

Memory: -32.0MiB live, 93.0MiB allocated
Compiler: Compiled 8 239 to 854 computations (89.6% saved)

prune6.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	330	1	331
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	330	4	334

Accuracy

100.0%

Counts

334 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.0%	(fma.f64 y x (*.f64 (neg.f64 y) z))
✓	100.0%	(*.f64 y (-.f64 x z))
✓	52.0%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))
▶	57.7%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y x))

Compiler

Compiled 51 to 34 computations (33.3% saved)

simplify165.0ms (3.4%)

Memory

-11.7MiB live, 101.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	24
0	12	24
1	33	16
2	148	14
3	444	14
4	1547	14
5	4449	14
6	5560	14
7	6951	14
8	7474	14
0	8385	14

Stop Event

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

Calls

Call 1

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

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

localize89.0ms (1.8%)

Memory

-2.3MiB live, 53.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 y x)
accuracy	27.06200602784699	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y x))

Samples

11.0ms	179×	0	valid
9.0ms	72×	1	valid
1.0ms	5×	2	valid

Compiler

Compiled 46 to 23 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (51.6% of total)

ival-sub: 3.0ms (22.1% of total)

adjust: 2.0ms (14.8% of total)

ival-add: 1.0ms (7.4% of total)

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

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

series3.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

2 → 10

Calls

Call 1

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

Outputs
(* -1 (* y z))
(- (* x y) (* y z))
(* x y)
(* x (+ y (* -1 (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* y (- x z))
(* -1 (* y (- (* -1 x) (* -1 z))))
(+ (* -1 (* y z)) (* x y))
(* z (- (/ (* x y) z) y))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* y x))
0.0ms	x	@	-inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* y x))
0.0ms	y	@	inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* y x))
0.0ms	y	@	0	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* y x))
0.0ms	x	@	0	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* y x))

simplify88.0ms (1.8%)

Memory

10.1MiB live, 47.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	63
1	104	47
2	295	47
3	1027	47
4	2948	47
5	4830	47
6	6308	47
7	7874	47
0	8001	47

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

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

Outputs
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(- (* x y) (* y z))
(*.f64 (-.f64 x z) y)
(* x y)
(*.f64 y x)
(* x (+ y (* -1 (/ (* y z) x))))
(*.f64 (-.f64 x z) y)
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(*.f64 (-.f64 x z) y)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* -1 (* y (- (* -1 x) (* -1 z))))
(*.f64 (-.f64 x z) y)
(+ (* -1 (* y z)) (* x y))
(*.f64 (-.f64 x z) y)
(* z (- (/ (* x y) z) y))
(*.f64 (-.f64 x z) y)
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(*.f64 (-.f64 x z) y)

rewrite301.0ms (6.1%)

Memory

-2.8MiB live, 151.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	22
0	12	22
1	70	14
2	771	12
0	9613	12

Stop Event

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

Counts

2 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Memory: 1.0MiB live, 1.0MiB allocated
Compiler: Compiled 121 to 22 computations (81.8% saved)

prune3.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	6	0	6
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	6	4	10

Accuracy

100.0%

Counts

10 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.0%	(fma.f64 y x (*.f64 (neg.f64 y) z))
✓	100.0%	(*.f64 y (-.f64 x z))
✓	52.0%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))
✓	57.7%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y x))

Compiler

Compiled 117 to 59 computations (49.6% saved)

regimes11.0ms (0.2%)

Memory

-14.0MiB live, 24.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Results

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

Compiler

Compiled 18 to 18 computations (0% saved)

regimes7.0ms (0.1%)

Memory

20.2MiB live, 20.2MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

2.0ms	z
2.0ms	x
2.0ms	y
1.0ms	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Results

Accuracy	Segments	Branch
79.3%	3	`x`
65.2%	5	`y`
80.3%	3	`z`
63.5%	2	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`

Compiler

Compiled 18 to 18 computations (0% saved)

regimes7.0ms (0.1%)

Memory

-17.2MiB live, 20.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	x
1.0ms	z
1.0ms	y
1.0ms	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Results

Accuracy	Segments	Branch
57.7%	1	`y`
57.7%	1	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`
57.7%	1	`x`
57.7%	1	`z`

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch38.0ms (0.8%)

Memory

-10.5MiB live, 73.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.00864036574652e-6	0.0001222951741113656
19.0ms	-8.389163169150048e+92	-2.686809136106947e+86

Samples

13.0ms	185×	0	valid
8.0ms	71×	1	valid

Compiler

Compiled 642 to 415 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 9.0ms (61.2% of total)

ival-sub: 3.0ms (20.4% of total)

adjust: 1.0ms (6.8% of total)

ival-add: 1.0ms (6.8% of total)

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

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

simplify42.0ms (0.9%)

Memory

18.6MiB live, 95.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	91
1	32	91
2	44	91
3	64	91
4	97	91
5	140	91
6	178	91
7	201	91
8	227	91
9	256	91
10	286	91
11	300	91
12	302	91

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 z #s(literal -320000000000000004681822473815959369910413756116689618969155451894334836560367429091328 binary64)) #s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y)) (if (<=.f64 z #s(literal 2582544170319337/36893488147419103232 binary64)) #s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y x)) #s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))))

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

Outputs
(*.f64 y (-.f64 x z))
(*.f64 (-.f64 x z) y)
(if (<=.f64 z #s(literal -320000000000000004681822473815959369910413756116689618969155451894334836560367429091328 binary64)) #s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (.f64 (neg.f64 z) y)) (if (<=.f64 z #s(literal 2582544170319337/36893488147419103232 binary64)) #s(approx (+ (- (- ( x y) (* y z)) (* y y)) (* y y)) (.f64 y x)) #s(approx (+ (- (- ( x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))))
(if (<=.f64 z #s(literal -320000000000000004681822473815959369910413756116689618969155451894334836560367429091328 binary64)) #s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (.f64 (neg.f64 z) y)) (if (<=.f64 z #s(literal 2582544170319337/36893488147419103232 binary64)) #s(approx (+ (- (- ( x y) (* y z)) (* y y)) (* y y)) (.f64 x y)) #s(approx (+ (- (- ( x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))))
#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y x))
#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 x y))

soundness715.0ms (14.6%)

Memory

-12.9MiB live, 303.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	197
1	224	153
2	697	149
3	2822	149
4	7731	149
0	8475	149
0	9	36
0	15	28
1	73	22
2	774	20
0	9595	20
0	56	114
1	201	90
2	554	90
3	1574	90
4	3256	90
5	5403	90
6	6848	90
7	7728	90
0	8024	90

Stop Event

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

Compiler

Compiled 136 to 56 computations (58.8% saved)

preprocess118.0ms (2.4%)

Memory: 21.4MiB live, 104.8MiB allocated
Remove: (negabs y)
Compiler: Compiled 252 to 102 computations (59.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	22	91
1	32	91
2	44	91
3	64	91
4	97	91
5	140	91
6	178	91
7	201	91
8	227	91
9	256	91
10	286	91
11	300	91
12	302	91

Iter	Nodes	Cost
0	22	91
1	32	91
2	44	91
3	64	91
4	97	91
5	140	91
6	178	91
7	201	91
8	227	91
9	256	91
10	286	91
11	300	91
12	302	91

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (28.1%)

explain142.0ms (2.9%)

preprocess226.0ms (4.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify145.0ms (3%)

localize41.0ms (0.8%)

series9.0ms (0.2%)

simplify152.0ms (3.1%)

rewrite218.0ms (4.4%)

eval58.0ms (1.2%)

prune10.0ms (0.2%)

simplify209.0ms (4.3%)

localize53.0ms (1.1%)

series12.0ms (0.2%)

simplify329.0ms (6.7%)

rewrite283.0ms (5.8%)

eval43.0ms (0.9%)

prune6.0ms (0.1%)

simplify165.0ms (3.4%)

localize89.0ms (1.8%)

series3.0ms (0.1%)

simplify88.0ms (1.8%)

rewrite301.0ms (6.1%)

eval1.0ms (0%)

prune3.0ms (0.1%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch38.0ms (0.8%)

simplify42.0ms (0.9%)

soundness715.0ms (14.6%)

preprocess118.0ms (2.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	91
1	32	91
2	44	91
3	64	91
4	97	91
5	140	91
6	178	91
7	201	91
8	227	91
9	256	91
10	286	91
11	300	91
12	302	91