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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 (27.1%)

Memory

-8.8MiB live, 1 144.2MiB allocated

Samples

507.0ms	5 838×	0	valid
423.0ms	2 418×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 602.0ms

ival-mult: 267.0ms (44.4% of total)

ival-sub: 165.0ms (27.4% of total)

adjust: 83.0ms (13.8% of total)

ival-add: 77.0ms (12.8% of total)

ival-true: 6.0ms (1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain195.0ms (3.8%)

Memory

18.0MiB live, 190.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))`	nan-rescue	56	0
↳	`(*.f64 y y)`	overflow	59
↳	`(*.f64 x y)`	overflow	29
↳	`(-.f64 (.f64 x y) (.f64 y y))`	overflow	71
↳	`(*.f64 y y)`	overflow	59
`+.f64`	`(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))`	cancellation	25	0
`-.f64`	`(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))`	nan-rescue	6	0
↳	`(*.f64 y y)`	overflow	118
↳	`(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))`	overflow	29
↳	`(*.f64 x y)`	overflow	29
↳	`(-.f64 (.f64 x y) (.f64 y y))`	overflow	71
↳	`(*.f64 y z)`	overflow	31
`-.f64`	`(-.f64 (.f64 x y) (.f64 y y))`	nan-rescue	6	0
↳	`(*.f64 x y)`	overflow	29
↳	`(*.f64 y y)`	overflow	59

Confusion

	Predicted +	Predicted -
+	78	0
-	6	172

Precision

0.9285714285714286

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	78	0	0
-	6	0	172

Precision?

0.9285714285714286

Recall?

1.0

Freqs

test

number	freq
0	172
1	75
2	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms	212×	1	valid
18.0ms	288×	0	valid
2.0ms	12×	2	valid

Compiler

Compiled 154 to 40 computations (74% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 19.0ms (54.8% of total)

ival-sub: 6.0ms (17.3% of total)

adjust: 5.0ms (14.4% of total)

ival-add: 3.0ms (8.6% of total)

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

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

preprocess267.0ms (5.2%)

Memory

-7.4MiB live, 259.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	125
1	185	76
2	747	51
3	2837	47
4	4473	47
5	5849	47
6	6827	47
7	7675	47
0	9	15
0	15	13
1	38	9
2	160	7
3	514	5
4	1763	5
5	4156	5
6	5094	5
7	6403	5
8	6906	5
9	7958	5
0	8033	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 y)) (.f64 y y)) (.f64 y z))

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

Symmetry

(negabs y)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

Memory: 0.7MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.2%	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify195.0ms (3.8%)

Memory

4.0MiB live, 163.4MiB 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 y))
cost-diff	320	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
cost-diff	704	(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	45
0	15	33
1	38	29
2	160	27
3	514	25
4	1763	25
5	4156	25
6	5094	25
7	6403	25
8	6906	25
9	7958	25
0	8033	25

Stop Event

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

Calls

Call 1

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

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

localize52.0ms (1%)

Memory

3.2MiB live, 90.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	1.460927179151029	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
accuracy	1.6054604933208232	(-.f64 (.f64 x y) (.f64 y y))
accuracy	26.44686121179251	(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))

Samples

29.0ms	144×	0	valid
15.0ms	106×	1	valid
1.0ms	6×	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: 7.0ms (47.1% of total)

ival-sub: 3.0ms (20.2% of total)

adjust: 3.0ms (20.2% of total)

ival-add: 2.0ms (13.5% of total)

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

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

series8.0ms (0.2%)

Memory

-23.1MiB live, 15.3MiB allocated

Counts

4 → 16

Calls

Call 1

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

Outputs
(* x y)
(* -1 (* y z))
(- (* x y) (* y z))
(* -1 (pow y 2))
(- (* x y) (pow y 2))
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (pow y 2) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))
(* y (- x z))
(* y (+ x (* -1 y)))
(* (pow y 2) (- (/ x y) 1))
(* -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
3.0ms	y	@	-inf	((+ (- (* x y) (* y y)) (* y y)) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (- (* x y) (* y y)) (* x y))
1.0ms	y	@	0	((+ (- (* x y) (* y y)) (* y y)) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (- (* x y) (* y y)) (* x y))
1.0ms	y	@	inf	((+ (- (* x y) (* y y)) (* y y)) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (- (* x y) (* y y)) (* x y))
1.0ms	x	@	0	((+ (- (* x y) (* y y)) (* y y)) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (- (* x y) (* y y)) (* x y))
1.0ms	x	@	inf	((+ (- (* x y) (* y y)) (* y y)) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (- (* x y) (* y y)) (* x y))

simplify111.0ms (2.1%)

Memory

16.7MiB live, 143.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	102
1	159	76
2	439	76
3	1465	76
4	3803	76
5	6883	76
0	8045	76

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

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

rewrite311.0ms (6%)

Memory

-11.0MiB live, 343.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	36
0	15	24
1	75	20
2	802	17
0	10605	17

Stop Event

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

Counts

4 → 1 099

Calls

Call 1

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

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

eval204.0ms (3.9%)

Memory: 40.1MiB live, 227.8MiB allocated
Compiler: Compiled 18 121 to 1 805 computations (90% saved)

prune58.0ms (1.1%)

Memory

-32.4MiB live, 52.4MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	896	3	899
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	897	3	900

Accuracy

100.0%

Counts

900 → 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%	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
▶	52.0%	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))

Compiler

Compiled 48 to 30 computations (37.5% saved)

simplify219.0ms (4.2%)

Memory

33.9MiB live, 186.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 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 (-.f64 x z) y)
cost-diff	0	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) y)
cost-diff	0	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	76
0	26	70
1	67	62
2	208	54
3	688	54
4	2134	54
5	3581	54
6	4383	54
7	5586	54
8	6038	54
9	7067	54
0	8365	54

Stop Event

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

Calls

Call 1

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

localize134.0ms (2.6%)

Memory

-21.2MiB live, 141.2MiB allocated

Localize:

Found 9 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	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
accuracy	0.02734375	(*.f64 (-.f64 x z) y)
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	30.737624635701646	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))

Samples

62.0ms	179×	0	valid
39.0ms	77×	1	valid

Compiler

Compiled 144 to 37 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 35.0ms (58% of total)

ival-neg: 15.0ms (24.8% of total)

ival-sub: 4.0ms (6.6% of total)

adjust: 3.0ms (5% of total)

ival-add: 3.0ms (5% of total)

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

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

series9.0ms (0.2%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

9 → 23

Calls

Call 1

Inputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) y)
(-.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
2.0ms	z	@	inf	((- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* (neg z) y) (neg z) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* (- x z) y) (- x z) (+ (* y x) (* (neg y) z)) (* (neg y) z) (neg y))
1.0ms	y	@	-inf	((- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* (neg z) y) (neg z) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* (- x z) y) (- x z) (+ (* y x) (* (neg y) z)) (* (neg y) z) (neg y))
1.0ms	y	@	inf	((- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* (neg z) y) (neg z) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* (- x z) y) (- x z) (+ (* y x) (* (neg y) z)) (* (neg y) z) (neg y))
1.0ms	y	@	0	((- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* (neg z) y) (neg z) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* (- x z) y) (- x z) (+ (* y x) (* (neg y) z)) (* (neg y) z) (neg y))
1.0ms	z	@	0	((- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* (neg z) y) (neg z) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* (- x z) y) (- x z) (+ (* y x) (* (neg y) z)) (* (neg y) z) (neg y))

simplify111.0ms (2.1%)

Memory

-10.9MiB live, 66.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	114
1	201	90
2	554	90
3	1575	90
4	3257	90
5	5408	90
6	6854	90
7	7734	90
0	8030	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)

rewrite246.0ms (4.8%)

Memory

-4.5MiB live, 250.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	68
0	26	62
1	133	54
2	1176	42
0	9992	42

Stop Event

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

Counts

9 → 649

Calls

Call 1

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

eval104.0ms (2%)

Memory: -21.1MiB live, 94.5MiB allocated
Compiler: Compiled 15 011 to 1 291 computations (91.4% saved)

prune8.0ms (0.2%)

Memory

28.1MiB live, 28.1MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	377	1	378
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	377	4	381

Accuracy

100.0%

Counts

381 → 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%	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
✓	52.0%	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))
▶	57.7%	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))

Compiler

Compiled 67 to 41 computations (38.8% saved)

simplify224.0ms (4.3%)

Memory

9.8MiB live, 168.6MiB 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 y)) (* y y)) (* y z)) (*.f64 y x))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	24
0	12	22
1	35	18
2	157	16
3	509	14
4	1771	14
5	4129	14
6	5076	14
7	6385	14
8	6888	14
9	7940	14
0	8015	14

Stop Event

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

Calls

Call 1

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

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

localize68.0ms (1.3%)

Memory

-25.9MiB live, 49.2MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

31.0ms	77×	1	valid
11.0ms	179×	0	valid

Compiler

Compiled 46 to 23 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

adjust: 23.0ms (66.3% of total)

ival-mult: 7.0ms (20.2% of total)

ival-sub: 3.0ms (8.7% of total)

ival-add: 1.0ms (2.9% of total)

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

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

series3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

2 → 10

Calls

Call 1

Inputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.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 y)) (* y y)) (* y z)) (* y x))
0.0ms	x	@	-inf	((- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* y x))
0.0ms	y	@	inf	((- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* y x))
0.0ms	y	@	0	((- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* y x))
0.0ms	x	@	0	((- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* y x))

simplify111.0ms (2.1%)

Memory

5.1MiB live, 81.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	63
1	104	47
2	295	47
3	1025	47
4	2948	47
5	4824	47
6	6297	47
7	7863	47
0	8011	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)

rewrite269.0ms (5.2%)

Memory

-21.8MiB live, 187.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	22
0	12	20
1	72	16
2	799	13
0	10591	13

Stop Event

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

Counts

2 → 206

Calls

Call 1

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

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

eval22.0ms (0.4%)

Memory: 35.6MiB live, 35.6MiB allocated
Compiler: Compiled 6 671 to 564 computations (91.5% saved)

prune10.0ms (0.2%)

Memory

-14.9MiB live, 21.0MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	209	4	213

Accuracy

100.0%

Counts

213 → 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%	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
✓	52.0%	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))
✓	57.7%	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))

Compiler

Compiled 149 to 67 computations (55% saved)

regimes12.0ms (0.2%)

Memory

-15.6MiB live, 23.0MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

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 y)) (.f64 y y)) (.f64 y z))`

Compiler

Compiled 18 to 18 computations (0% saved)

regimes7.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
79.3%	3	`x`
65.2%	5	`y`
80.3%	3	`z`
63.9%	2	`(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))`

Compiler

Compiled 18 to 18 computations (0% saved)

regimes6.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch36.0ms (0.7%)

Memory

4.8MiB live, 48.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.00864036574652e-6	0.0001222951741113656
20.0ms	-8.389163169150048e+92	-2.686809136106947e+86

Samples

11.0ms	187×	0	valid
8.0ms	69×	1	valid

Compiler

Compiled 642 to 415 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 6.0ms (50.8% of total)

ival-sub: 3.0ms (25.4% of total)

adjust: 1.0ms (8.5% of total)

ival-add: 1.0ms (8.5% of total)

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

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

simplify41.0ms (0.8%)

Memory

0.7MiB live, 76.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	107
1	33	107
2	45	107
3	65	107
4	98	107
5	138	107
6	176	107
7	199	107
8	225	107
9	254	107
10	284	107
11	298	107
12	300	107

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

soundness672.0ms (13%)

Memory

-10.4MiB live, 181.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	102
1	159	76
2	439	76
3	1465	76
4	3803	76
5	6883	76
0	8045	76
0	56	114
1	201	90
2	554	90
3	1575	90
4	3257	90
5	5408	90
6	6854	90
7	7734	90
0	8030	90

Stop Event

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

Compiler

Compiled 130 to 51 computations (60.8% saved)

preprocess58.0ms (1.1%)

Memory: 13.8MiB live, 132.4MiB allocated
Remove: (negabs y)
Compiler: Compiled 296 to 98 computations (66.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	23	107
1	33	107
2	45	107
3	65	107
4	98	107
5	138	107
6	176	107
7	199	107
8	225	107
9	254	107
10	284	107
11	298	107
12	300	107

Iter	Nodes	Cost
0	23	107
1	33	107
2	45	107
3	65	107
4	98	107
5	138	107
6	176	107
7	199	107
8	225	107
9	254	107
10	284	107
11	298	107
12	300	107

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (27.1%)

explain195.0ms (3.8%)

preprocess267.0ms (5.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify195.0ms (3.8%)

localize52.0ms (1%)

series8.0ms (0.2%)

simplify111.0ms (2.1%)

rewrite311.0ms (6%)

eval204.0ms (3.9%)

prune58.0ms (1.1%)

simplify219.0ms (4.2%)

localize134.0ms (2.6%)

series9.0ms (0.2%)

simplify111.0ms (2.1%)

rewrite246.0ms (4.8%)

eval104.0ms (2%)

prune8.0ms (0.2%)

simplify224.0ms (4.3%)

localize68.0ms (1.3%)

series3.0ms (0.1%)

simplify111.0ms (2.1%)

rewrite269.0ms (5.2%)

eval22.0ms (0.4%)

prune10.0ms (0.2%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch36.0ms (0.7%)

simplify41.0ms (0.8%)

soundness672.0ms (13%)

preprocess58.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	23	107
1	33	107
2	45	107
3	65	107
4	98	107
5	138	107
6	176	107
7	199	107
8	225	107
9	254	107
10	284	107
11	298	107
12	300	107