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

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 10 computations (41.2% saved)

sample856.0ms (13.3%)

Memory

12.5MiB live, 1 078.7MiB allocated

Samples

445.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 243.0ms

ival-mult: 133.0ms (54.6% of total)

ival-add: 101.0ms (41.5% of total)

ival-true: 6.0ms (2.5% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain189.0ms (2.9%)

Memory

-33.3MiB live, 210.4MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 z z))`	nan-rescue	6	0
↳	`(*.f64 x y)`	overflow	35
↳	`(*.f64 z z)`	overflow	61
`+.f64`	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`	nan-rescue	3	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	overflow	89
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	89
↳	`(*.f64 x y)`	overflow	35
↳	`(*.f64 z z)`	overflow	122
↳	`(*.f64 z z)`	overflow	61
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	3	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	89
↳	`(*.f64 x y)`	overflow	35
↳	`(*.f64 z z)`	overflow	61
↳	`(*.f64 z z)`	overflow	61

Confusion

	Predicted +	Predicted -
+	6	0
-	0	250

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	6	0	0
-	0	0	250

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	250
1	3
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms

512×

valid

Compiler

Compiled 145 to 36 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 25.0ms (78.2% of total)

ival-add: 6.0ms (18.8% of total)

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

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

preprocess70.0ms (1.1%)

Memory

13.1MiB live, 51.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	142
1	104	120
2	235	82
3	607	81
4	1135	81
5	1522	81
6	2120	81
7	2645	81
8	2732	81
9	2732	81
0	8	15
0	13	15
1	20	13
2	30	9
3	42	9
4	50	9
5	53	9
0	53	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))

Symmetry

(abs z)

(sort x y)

Compiler

Compiled 15 to 8 computations (46.7% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.5%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify4.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	128	(+.f64 (.f64 x y) (.f64 z z))
cost-diff	192	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
cost-diff	512	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	42
0	13	42
1	20	38
2	30	34
3	42	34
4	50	34
5	53	34
0	53	31

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 y x))
(+.f64 (.f64 x y) (.f64 z z))
(fma.f64 z z (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 z z)
z

localize161.0ms (2.5%)

Memory

-4.3MiB live, 34.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.7617125574906174	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
accuracy	0.8164000574906174	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
accuracy	1.3593688074906176	(+.f64 (.f64 x y) (.f64 z z))

Samples

155.0ms

256×

valid

Compiler

Compiled 86 to 18 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 3.0ms (44.2% of total)

ival-mult: 3.0ms (44.2% of total)

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

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

series7.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

4 → 24

Calls

Call 1

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

Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(pow z 2)
(+ (* x y) (pow z 2))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))

Calls

9 calls:

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

simplify142.0ms (2.2%)

Memory

-3.3MiB live, 117.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	208
1	244	180
2	776	180
3	2210	180
4	6662	180
0	8142	161

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(pow z 2)
(+ (* x y) (pow z 2))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))

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

rewrite389.0ms (6%)

Memory

-10.2MiB live, 179.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
0	13	36
1	55	32
2	517	26
3	7658	26
0	8262	23

Stop Event

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

Counts

4 → 324

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 z z (.f64 y x)) z) (neg.f64 z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 z z (*.f64 y x)) z) (neg.f64 z))))
(.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (neg.f64 (fma.f64 z z (.f64 y x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 (fma.f64 z z (.f64 y x)) z) (neg.f64 z)) (-.f64 (.f64 (.f64 (fma.f64 z z (.f64 y x)) z) (neg.f64 z)) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 3 binary64) (.f64 z z) (*.f64 y x)))
(.f64 (-.f64 (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y x #s(literal 0 binary64)) (*.f64 z z))))
(.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z (.f64 y x)))))
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (pow.f64 (fma.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (*.f64 y x)))
(.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 y x))) (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 z #s(literal 4 binary64))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 z #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (*.f64 y x)) (fma.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 z #s(literal 4 binary64)))))
(.f64 (fma.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 z #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (pow.f64 (fma.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (*.f64 y x)) (/.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))) #s(literal -1 binary64))
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(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (.f64 (fma.f64 (.f64 y x) (fma.f64 (neg.f64 z) z (.f64 y x)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (pow.f64 z #s(literal 18 binary64))) (.f64 (fma.f64 (.f64 y x) (fma.f64 (neg.f64 z) z (.f64 y x)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (.f64 y x) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 y x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (.f64 y x)))
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64))))
(neg.f64 (neg.f64 (fma.f64 z z (*.f64 y x))))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 z z (.f64 y x)) z) z (pow.f64 (.f64 y x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 y x))
(fma.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))))
(fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))))
(fma.f64 (.f64 y y) (/.f64 (.f64 x x) (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))))
(fma.f64 z z (*.f64 y x))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))))
(fma.f64 y (/.f64 (.f64 (.f64 x x) y) (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))))
(fma.f64 y x (*.f64 z z))
(fma.f64 x (/.f64 (.f64 (.f64 y y) x) (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))))
(fma.f64 x y (*.f64 z z))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 z z) (.f64 y x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 z z) (*.f64 y x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))))
(+.f64 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 z z))
(*.f64 y x)
(*.f64 x y)

eval32.0ms (0.5%)

Memory: 29.1MiB live, 61.9MiB allocated
Compiler: Compiled 10 015 to 1 015 computations (89.9% saved)

prune15.0ms (0.2%)

Memory

-32.8MiB live, 21.4MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	326	5	331
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	327	5	332

Accuracy

100.0%

Counts

332 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
▶	97.5%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
▶	32.7%	(+.f64 (+.f64 (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (.f64 z z))
▶	98.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
▶	49.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))

Compiler

Compiled 198 to 114 computations (42.4% saved)

simplify190.0ms (2.9%)

Memory

10.2MiB live, 123.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	128	(neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))
cost-diff	128	(+.f64 (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (*.f64 z z))
cost-diff	192	(+.f64 (+.f64 (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (.f64 z z))
cost-diff	1408	(fma.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))))
cost-diff	0	(*.f64 y x)
cost-diff	0	(*.f64 z z)
cost-diff	0	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
cost-diff	0	(*.f64 y x)
cost-diff	0	(*.f64 #s(literal 3 binary64) z)
cost-diff	0	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 z z) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 z z (*.f64 y x))
cost-diff	0	(*.f64 #s(literal 2 binary64) z)
cost-diff	384	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	273
0	60	277
1	110	254
2	187	250
3	373	250
4	755	250
5	1751	250
6	3046	235
7	3917	235
8	4014	235
9	4023	235
10	4024	235
11	4024	229
12	4290	229
13	4434	229
14	4436	229
15	4436	229
16	4436	229
17	4437	229
0	4437	227

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(fma.f64 z z (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
z
#s(literal 3 binary64)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
(*.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
z
(*.f64 y x)
y
x
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
#s(literal 3 binary64)
(*.f64 z z)
z
(*.f64 y x)
y
x
(+.f64 (+.f64 (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (.f64 z z))
(+.f64 (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (*.f64 z z))
(fma.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))))
(.f64 (.f64 x x) y)
(*.f64 x x)
x
y
(/.f64 y (fma.f64 (neg.f64 z) z (*.f64 y x)))
(fma.f64 (neg.f64 z) z (*.f64 y x))
(neg.f64 z)
z
(*.f64 y x)
(neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))
(pow.f64 z #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 z z)

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

localize176.0ms (2.7%)

Memory

30.5MiB live, 151.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	9.234243943732924	(.f64 (.f64 x x) y)
accuracy	10.860422155726761	(fma.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))))
accuracy	11.69183312041786	(/.f64 y (fma.f64 (neg.f64 z) z (*.f64 y x)))
accuracy	27.076232196178335	(/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))
accuracy	0.0	(*.f64 z z)
accuracy	0.0	(*.f64 y x)
accuracy	1.4179625574906176	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
accuracy	0.8085854928166806	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
accuracy	0.0	(*.f64 z z)
accuracy	0.171875	(.f64 (.f64 z z) #s(literal 3 binary64))
accuracy	32.47601718813296	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(*.f64 #s(literal 2 binary64) z)
accuracy	0.0234375	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
accuracy	0.7578042428166806	(fma.f64 z z (*.f64 y x))

Samples

123.0ms

256×

valid

Compiler

Compiled 551 to 70 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-mult: 81.0ms (79.8% of total)

ival-add: 12.0ms (11.8% of total)

ival-div: 4.0ms (3.9% of total)

ival-pow: 3.0ms (3% of total)

ival-neg: 2.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

series63.0ms (1%)

Memory

-29.9MiB live, 63.6MiB allocated

Counts

18 → 132

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
(*.f64 #s(literal 2 binary64) z)
(fma.f64 z z (*.f64 y x))
(*.f64 y x)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
(*.f64 #s(literal 3 binary64) z)
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(fma.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))))
(+.f64 (+.f64 (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (.f64 z z))
(+.f64 (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (*.f64 z z))
(neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))
(/.f64 y (fma.f64 (neg.f64 z) z (*.f64 y x)))
(.f64 (.f64 x x) y)

Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(* x y)
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(- (* x y) (* -1 (pow z 2)))
(- (* x (+ y (* x (+ (* -1 (/ (pow y 2) (pow z 2))) (/ (pow y 2) (pow z 2)))))) (* -1 (pow z 2)))
(- (* 2 (pow z 2)) (* -1 (pow z 2)))
(- (+ (* 2 (pow z 2)) (* x y)) (* -1 (pow z 2)))
(- (+ (* 2 (pow z 2)) (* x (+ y (* x (+ (* -1 (/ (pow y 2) (pow z 2))) (/ (pow y 2) (pow z 2))))))) (* -1 (pow z 2)))
(- (pow z 2) (* -1 (pow z 2)))
(- (+ (* x y) (pow z 2)) (* -1 (pow z 2)))
(- (+ (* x (+ y (* x (+ (* -1 (/ (pow y 2) (pow z 2))) (/ (pow y 2) (pow z 2)))))) (pow z 2)) (* -1 (pow z 2)))
(- (* x (+ y (/ (* x (pow y 2)) (pow z 2)))) (* -1 (pow z 2)))
(- (* x (+ y (* x (+ (/ (* x (pow y 3)) (pow z 4)) (/ (pow y 2) (pow z 2)))))) (* -1 (pow z 2)))
(* -1 (pow z 2))
(+ (* -1 (* x y)) (* -1 (pow z 2)))
(+ (* -1 (pow z 2)) (* x (- (* -1 (/ (* x (pow y 2)) (pow z 2))) y)))
(+ (* -1 (pow z 2)) (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 4))) (/ (pow y 2) (pow z 2)))) y)))
(* -1 (/ y (pow z 2)))
(+ (* -1 (/ y (pow z 2))) (* -1 (/ (* x (pow y 2)) (pow z 4))))
(+ (* -1 (/ y (pow z 2))) (* x (- (* -1 (/ (* x (pow y 3)) (pow z 6))) (/ (pow y 2) (pow z 4)))))
(+ (* -1 (/ y (pow z 2))) (* x (- (* x (- (* -1 (/ (* x (pow y 4)) (pow z 8))) (/ (pow y 3) (pow z 6)))) (/ (pow y 2) (pow z 4)))))
(* (pow x 2) y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (- (+ y (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (/ (pow z 4) y)) (pow x 2)))) (* -1 (/ (pow z 2) x))))
(* x (- (+ y (* 2 (/ (pow z 2) x))) (* -1 (/ (pow z 2) x))))
(* x (- (+ y (+ (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (/ (pow z 4) y)) (pow x 2))) (* 2 (/ (pow z 2) x)))) (* -1 (/ (pow z 2) x))))
(* x (- (+ y (/ (pow z 2) x)) (* -1 (/ (pow z 2) x))))
(* x (- (+ y (+ (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (/ (pow z 4) y)) (pow x 2))) (/ (pow z 2) x))) (* -1 (/ (pow z 2) x))))
(* -1 (/ (pow z 4) (* x y)))
(/ (- (* -1 (/ (pow z 6) (* x (pow y 2)))) (/ (pow z 4) y)) x)
(/ (- (+ (* -1 (/ (pow z 6) (* x (pow y 2)))) (* -1 (/ (pow z 8) (* (pow x 2) (pow y 3))))) (/ (pow z 4) y)) x)
(/ (- (+ (* -1 (/ (pow z 6) (* x (pow y 2)))) (+ (* -1 (/ (pow z 8) (* (pow x 2) (pow y 3)))) (* -1 (/ (pow z 10) (* (pow x 3) (pow y 4)))))) (/ (pow z 4) y)) x)
(/ (pow z 4) (* x y))
(/ (+ (/ (pow z 4) y) (/ (pow z 6) (* x (pow y 2)))) x)
(/ (- (+ (/ (pow z 4) y) (/ (pow z 8) (* (pow x 2) (pow y 3)))) (* -1 (/ (pow z 6) (* x (pow y 2))))) x)
(/ (- (+ (/ (pow z 4) y) (/ (pow z 10) (* (pow x 3) (pow y 4)))) (+ (* -1 (/ (pow z 6) (* x (pow y 2)))) (* -1 (/ (pow z 8) (* (pow x 2) (pow y 3)))))) x)
(/ 1 x)
(/ (+ 1 (/ (pow z 2) (* x y))) x)
(/ (- (+ 1 (/ (pow z 4) (* (pow x 2) (pow y 2)))) (* -1 (/ (pow z 2) (* x y)))) x)
(/ (- (+ 1 (/ (pow z 6) (* (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (* x y))) (* -1 (/ (pow z 4) (* (pow x 2) (pow y 2)))))) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (/ (pow z 4) (* x y))) (* -1 (pow z 2))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* 2 (pow z 2)) (* -1 (pow z 2))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (* 2 (pow z 2)) (/ (pow z 4) (* x y)))) (* -1 (pow z 2))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (pow z 2) (* -1 (pow z 2))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (/ (pow z 4) (* x y)) (pow z 2))) (* -1 (pow z 2))) x)))))
(* -1 (/ (- (/ (pow z 6) (* x (pow y 2))) (* -1 (/ (pow z 4) y))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow z 6) (pow y 2))) (* -1 (/ (pow z 8) (* x (pow y 3))))) x)) (* -1 (/ (pow z 4) y))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (/ (pow z 8) (pow y 3)) (/ (pow z 10) (* x (pow y 4)))) x)) (* -1 (/ (pow z 6) (pow y 2)))) x)) (* -1 (/ (pow z 4) y))) x))
(* -1 (/ (+ (* -1 (/ (pow z 4) y)) (* -1 (/ (pow z 6) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (/ (pow z 8) (* x (pow y 3))) (* -1 (/ (pow z 6) (pow y 2)))) x)) (* -1 (/ (pow z 4) y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 10) (* x (pow y 4)))) (/ (pow z 8) (pow y 3))) x)) (* -1 (/ (pow z 6) (pow y 2)))) x)) (* -1 (/ (pow z 4) y))) x))
(* -1 (/ (- (* -1 (/ (pow z 2) (* x y))) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow y 2))) (* -1 (/ (pow z 2) y))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 6) (* x (pow y 3)))) (/ (pow z 4) (pow y 2))) x)) (* -1 (/ (pow z 2) y))) x)) 1) x))
(- (* y (+ x (* y (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2)))))) (* -1 (pow z 2)))
(- (+ (* 2 (pow z 2)) (* y (+ x (* y (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2))))))) (* -1 (pow z 2)))
(- (+ (* y (+ x (* y (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2)))))) (pow z 2)) (* -1 (pow z 2)))
(- (* y (+ x (/ (* (pow x 2) y) (pow z 2)))) (* -1 (pow z 2)))
(- (* y (+ x (* y (+ (/ (* (pow x 3) y) (pow z 4)) (/ (pow x 2) (pow z 2)))))) (* -1 (pow z 2)))
(+ (* -1 (pow z 2)) (* y (- (* -1 (/ (* (pow x 2) y) (pow z 2))) x)))
(+ (* -1 (pow z 2)) (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 4))) (/ (pow x 2) (pow z 2)))) x)))
(* y (- (* -1 (/ (* x y) (pow z 4))) (/ 1 (pow z 2))))
(* y (- (* y (- (* -1 (/ (* (pow x 2) y) (pow z 6))) (/ x (pow z 4)))) (/ 1 (pow z 2))))
(* y (- (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 8))) (/ (pow x 2) (pow z 6)))) (/ x (pow z 4)))) (/ 1 (pow z 2))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (- (+ x (* -1 (/ (+ (* -1 (/ (pow z 4) x)) (/ (pow z 4) x)) (pow y 2)))) (* -1 (/ (pow z 2) y))))
(* y (- (+ x (* 2 (/ (pow z 2) y))) (* -1 (/ (pow z 2) y))))
(* y (- (+ x (+ (* -1 (/ (+ (* -1 (/ (pow z 4) x)) (/ (pow z 4) x)) (pow y 2))) (* 2 (/ (pow z 2) y)))) (* -1 (/ (pow z 2) y))))
(* y (- (+ x (/ (pow z 2) y)) (* -1 (/ (pow z 2) y))))
(* y (- (+ x (+ (* -1 (/ (+ (* -1 (/ (pow z 4) x)) (/ (pow z 4) x)) (pow y 2))) (/ (pow z 2) y))) (* -1 (/ (pow z 2) y))))
(/ (- (* -1 (/ (pow z 6) (* (pow x 2) y))) (/ (pow z 4) x)) y)
(/ (- (+ (* -1 (/ (pow z 6) (* (pow x 2) y))) (* -1 (/ (pow z 8) (* (pow x 3) (pow y 2))))) (/ (pow z 4) x)) y)
(/ (- (+ (* -1 (/ (pow z 6) (* (pow x 2) y))) (+ (* -1 (/ (pow z 8) (* (pow x 3) (pow y 2)))) (* -1 (/ (pow z 10) (* (pow x 4) (pow y 3)))))) (/ (pow z 4) x)) y)
(/ (+ (/ (pow z 4) x) (/ (pow z 6) (* (pow x 2) y))) y)
(/ (- (+ (/ (pow z 4) x) (/ (pow z 8) (* (pow x 3) (pow y 2)))) (* -1 (/ (pow z 6) (* (pow x 2) y)))) y)
(/ (- (+ (/ (pow z 4) x) (/ (pow z 10) (* (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow z 6) (* (pow x 2) y))) (* -1 (/ (pow z 8) (* (pow x 3) (pow y 2)))))) y)
(+ (/ 1 x) (/ (pow z 2) (* (pow x 2) y)))
(- (+ (/ 1 x) (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* -1 (/ (pow z 2) (* (pow x 2) y))))
(- (+ (/ 1 x) (/ (pow z 6) (* (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (* -1 (/ (pow z 4) (* (pow x 3) (pow y 2))))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (/ (pow z 4) (* x y))) (* -1 (pow z 2))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* 2 (pow z 2)) (* -1 (pow z 2))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (* 2 (pow z 2)) (/ (pow z 4) (* x y)))) (* -1 (pow z 2))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (pow z 2) (* -1 (pow z 2))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (/ (pow z 4) (* x y)) (pow z 2))) (* -1 (pow z 2))) y)))))
(* -1 (/ (- (/ (pow z 6) (* (pow x 2) y)) (* -1 (/ (pow z 4) x))) y))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow z 6) (pow x 2))) (* -1 (/ (pow z 8) (* (pow x 3) y)))) y)) (* -1 (/ (pow z 4) x))) y))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (/ (pow z 8) (pow x 3)) (/ (pow z 10) (* (pow x 4) y))) y)) (* -1 (/ (pow z 6) (pow x 2)))) y)) (* -1 (/ (pow z 4) x))) y))
(* -1 (/ (+ (* -1 (/ (pow z 4) x)) (* -1 (/ (pow z 6) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (/ (pow z 8) (* (pow x 3) y)) (* -1 (/ (pow z 6) (pow x 2)))) y)) (* -1 (/ (pow z 4) x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 10) (* (pow x 4) y))) (/ (pow z 8) (pow x 3))) y)) (* -1 (/ (pow z 6) (pow x 2)))) y)) (* -1 (/ (pow z 4) x))) y))
(+ (* -1 (/ (- (* -1 (/ (pow z 4) (* (pow x 3) y))) (/ (pow z 2) (pow x 2))) y)) (/ 1 x))
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* (pow x 4) y)) (* -1 (/ (pow z 4) (pow x 3)))) y)) (/ (pow z 2) (pow x 2))) y)) (/ 1 x))
(* 2 z)
(* 3 z)
(+ (* 2 (pow z 2)) (* x y))
(* (pow z 4) (- (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))
(* (pow z 4) (- (* (pow z 2) (- (* -1 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))))
(* (pow z 4) (- (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))))
(* (pow z 4) (+ (/ 1 (* x y)) (/ (pow z 2) (* (pow x 2) (pow y 2)))))
(* (pow z 4) (+ (* (pow z 2) (+ (/ 1 (* (pow x 2) (pow y 2))) (/ (pow z 2) (* (pow x 3) (pow y 3))))) (/ 1 (* x y))))
(* (pow z 4) (+ (* (pow z 2) (+ (* (pow z 2) (+ (/ 1 (* (pow x 3) (pow y 3))) (/ (pow z 2) (* (pow x 4) (pow y 4))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))))
(+ (* (pow z 2) (+ (/ 1 (* (pow x 2) y)) (/ (pow z 2) (* (pow x 3) (pow y 2))))) (/ 1 x))
(+ (* (pow z 2) (+ (* (pow z 2) (+ (/ 1 (* (pow x 3) (pow y 2))) (/ (pow z 2) (* (pow x 4) (pow y 3))))) (/ 1 (* (pow x 2) y)))) (/ 1 x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(* (pow z 2) (+ 3 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(* (pow z 2) (+ 1 (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* (pow z 2) (+ 1 (+ (/ (* x y) (pow z 2)) (+ (/ (* (pow x 2) (pow y 2)) (pow z 4)) (/ (* (pow x 3) (pow y 3)) (pow z 6))))))
(* (pow z 2) (- (* -1 (/ (* x y) (pow z 2))) 1))
(* (pow z 2) (- (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ 1 (/ (* x y) (pow z 2)))))
(* (pow z 2) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 6))) (+ 1 (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(/ (+ (* -1 y) (* -1 (/ (* x (pow y 2)) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1 y) (* -1 (/ (* (pow x 2) (pow y 3)) (pow z 4)))) (/ (* x (pow y 2)) (pow z 2))) (pow z 2))
(/ (- (+ (* -1 y) (* -1 (/ (* (pow x 3) (pow y 4)) (pow z 6)))) (+ (/ (* x (pow y 2)) (pow z 2)) (/ (* (pow x 2) (pow y 3)) (pow z 4)))) (pow z 2))

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	y	@	-inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* 3 (* z z)) (* y x)) (+ (* (* (* x x) y) (/ y (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (+ (+ (+ (* (* (* x x) y) (/ y (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (+ (* (* (* x x) y) (/ y (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x)))) (/ (pow z 4) (+ (* (neg z) z) (* y x))) (/ y (+ (* (neg z) z) (* y x))) (* (* x x) y))
5.0ms	z	@	0	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* 3 (* z z)) (* y x)) (+ (* (* (* x x) y) (/ y (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (+ (+ (+ (* (* (* x x) y) (/ y (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (+ (* (* (* x x) y) (/ y (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x)))) (/ (pow z 4) (+ (* (neg z) z) (* y x))) (/ y (+ (* (neg z) z) (* y x))) (* (* x x) y))
4.0ms	x	@	inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* 3 (* z z)) (* y x)) (+ (* (* (* x x) y) (/ y (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (+ (+ (+ (* (* (* x x) y) (/ y (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (+ (* (* (* x x) y) (/ y (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x)))) (/ (pow z 4) (+ (* (neg z) z) (* y x))) (/ y (+ (* (neg z) z) (* y x))) (* (* x x) y))
4.0ms	y	@	inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* 3 (* z z)) (* y x)) (+ (* (* (* x x) y) (/ y (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (+ (+ (+ (* (* (* x x) y) (/ y (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (+ (* (* (* x x) y) (/ y (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x)))) (/ (pow z 4) (+ (* (neg z) z) (* y x))) (/ y (+ (* (neg z) z) (* y x))) (* (* x x) y))
3.0ms	z	@	inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* 3 (* z z)) (* y x)) (+ (* (* (* x x) y) (/ y (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (+ (+ (+ (* (* (* x x) y) (/ y (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (+ (* (* (* x x) y) (/ y (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x)))) (/ (pow z 4) (+ (* (neg z) z) (* y x))) (/ y (+ (* (neg z) z) (* y x))) (* (* x x) y))

simplify207.0ms (3.2%)

Memory

14.4MiB live, 88.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	593	2586
1	2018	2457
2	6459	2399
0	8180	2291

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(* x y)
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(- (* x y) (* -1 (pow z 2)))
(- (* x (+ y (* x (+ (* -1 (/ (pow y 2) (pow z 2))) (/ (pow y 2) (pow z 2)))))) (* -1 (pow z 2)))
(- (* 2 (pow z 2)) (* -1 (pow z 2)))
(- (+ (* 2 (pow z 2)) (* x y)) (* -1 (pow z 2)))
(- (+ (* 2 (pow z 2)) (* x (+ y (* x (+ (* -1 (/ (pow y 2) (pow z 2))) (/ (pow y 2) (pow z 2))))))) (* -1 (pow z 2)))
(- (pow z 2) (* -1 (pow z 2)))
(- (+ (* x y) (pow z 2)) (* -1 (pow z 2)))
(- (+ (* x (+ y (* x (+ (* -1 (/ (pow y 2) (pow z 2))) (/ (pow y 2) (pow z 2)))))) (pow z 2)) (* -1 (pow z 2)))
(- (* x (+ y (/ (* x (pow y 2)) (pow z 2)))) (* -1 (pow z 2)))
(- (* x (+ y (* x (+ (/ (* x (pow y 3)) (pow z 4)) (/ (pow y 2) (pow z 2)))))) (* -1 (pow z 2)))
(* -1 (pow z 2))
(+ (* -1 (* x y)) (* -1 (pow z 2)))
(+ (* -1 (pow z 2)) (* x (- (* -1 (/ (* x (pow y 2)) (pow z 2))) y)))
(+ (* -1 (pow z 2)) (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 4))) (/ (pow y 2) (pow z 2)))) y)))
(* -1 (/ y (pow z 2)))
(+ (* -1 (/ y (pow z 2))) (* -1 (/ (* x (pow y 2)) (pow z 4))))
(+ (* -1 (/ y (pow z 2))) (* x (- (* -1 (/ (* x (pow y 3)) (pow z 6))) (/ (pow y 2) (pow z 4)))))
(+ (* -1 (/ y (pow z 2))) (* x (- (* x (- (* -1 (/ (* x (pow y 4)) (pow z 8))) (/ (pow y 3) (pow z 6)))) (/ (pow y 2) (pow z 4)))))
(* (pow x 2) y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (- (+ y (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (/ (pow z 4) y)) (pow x 2)))) (* -1 (/ (pow z 2) x))))
(* x (- (+ y (* 2 (/ (pow z 2) x))) (* -1 (/ (pow z 2) x))))
(* x (- (+ y (+ (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (/ (pow z 4) y)) (pow x 2))) (* 2 (/ (pow z 2) x)))) (* -1 (/ (pow z 2) x))))
(* x (- (+ y (/ (pow z 2) x)) (* -1 (/ (pow z 2) x))))
(* x (- (+ y (+ (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (/ (pow z 4) y)) (pow x 2))) (/ (pow z 2) x))) (* -1 (/ (pow z 2) x))))
(* -1 (/ (pow z 4) (* x y)))
(/ (- (* -1 (/ (pow z 6) (* x (pow y 2)))) (/ (pow z 4) y)) x)
(/ (- (+ (* -1 (/ (pow z 6) (* x (pow y 2)))) (* -1 (/ (pow z 8) (* (pow x 2) (pow y 3))))) (/ (pow z 4) y)) x)
(/ (- (+ (* -1 (/ (pow z 6) (* x (pow y 2)))) (+ (* -1 (/ (pow z 8) (* (pow x 2) (pow y 3)))) (* -1 (/ (pow z 10) (* (pow x 3) (pow y 4)))))) (/ (pow z 4) y)) x)
(/ (pow z 4) (* x y))
(/ (+ (/ (pow z 4) y) (/ (pow z 6) (* x (pow y 2)))) x)
(/ (- (+ (/ (pow z 4) y) (/ (pow z 8) (* (pow x 2) (pow y 3)))) (* -1 (/ (pow z 6) (* x (pow y 2))))) x)
(/ (- (+ (/ (pow z 4) y) (/ (pow z 10) (* (pow x 3) (pow y 4)))) (+ (* -1 (/ (pow z 6) (* x (pow y 2)))) (* -1 (/ (pow z 8) (* (pow x 2) (pow y 3)))))) x)
(/ 1 x)
(/ (+ 1 (/ (pow z 2) (* x y))) x)
(/ (- (+ 1 (/ (pow z 4) (* (pow x 2) (pow y 2)))) (* -1 (/ (pow z 2) (* x y)))) x)
(/ (- (+ 1 (/ (pow z 6) (* (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (* x y))) (* -1 (/ (pow z 4) (* (pow x 2) (pow y 2)))))) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (/ (pow z 4) (* x y))) (* -1 (pow z 2))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* 2 (pow z 2)) (* -1 (pow z 2))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (* 2 (pow z 2)) (/ (pow z 4) (* x y)))) (* -1 (pow z 2))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (pow z 2) (* -1 (pow z 2))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (/ (pow z 4) (* x y)) (pow z 2))) (* -1 (pow z 2))) x)))))
(* -1 (/ (- (/ (pow z 6) (* x (pow y 2))) (* -1 (/ (pow z 4) y))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow z 6) (pow y 2))) (* -1 (/ (pow z 8) (* x (pow y 3))))) x)) (* -1 (/ (pow z 4) y))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (/ (pow z 8) (pow y 3)) (/ (pow z 10) (* x (pow y 4)))) x)) (* -1 (/ (pow z 6) (pow y 2)))) x)) (* -1 (/ (pow z 4) y))) x))
(* -1 (/ (+ (* -1 (/ (pow z 4) y)) (* -1 (/ (pow z 6) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (/ (pow z 8) (* x (pow y 3))) (* -1 (/ (pow z 6) (pow y 2)))) x)) (* -1 (/ (pow z 4) y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 10) (* x (pow y 4)))) (/ (pow z 8) (pow y 3))) x)) (* -1 (/ (pow z 6) (pow y 2)))) x)) (* -1 (/ (pow z 4) y))) x))
(* -1 (/ (- (* -1 (/ (pow z 2) (* x y))) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow y 2))) (* -1 (/ (pow z 2) y))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 6) (* x (pow y 3)))) (/ (pow z 4) (pow y 2))) x)) (* -1 (/ (pow z 2) y))) x)) 1) x))
(- (* y (+ x (* y (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2)))))) (* -1 (pow z 2)))
(- (+ (* 2 (pow z 2)) (* y (+ x (* y (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2))))))) (* -1 (pow z 2)))
(- (+ (* y (+ x (* y (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2)))))) (pow z 2)) (* -1 (pow z 2)))
(- (* y (+ x (/ (* (pow x 2) y) (pow z 2)))) (* -1 (pow z 2)))
(- (* y (+ x (* y (+ (/ (* (pow x 3) y) (pow z 4)) (/ (pow x 2) (pow z 2)))))) (* -1 (pow z 2)))
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(/ (+ (/ (pow z 4) x) (/ (pow z 6) (* (pow x 2) y))) y)
(/ (- (+ (/ (pow z 4) x) (/ (pow z 8) (* (pow x 3) (pow y 2)))) (* -1 (/ (pow z 6) (* (pow x 2) y)))) y)
(/ (- (+ (/ (pow z 4) x) (/ (pow z 10) (* (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow z 6) (* (pow x 2) y))) (* -1 (/ (pow z 8) (* (pow x 3) (pow y 2)))))) y)
(+ (/ 1 x) (/ (pow z 2) (* (pow x 2) y)))
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(* 2 z)
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(* (pow z 4) (+ (/ 1 (* x y)) (/ (pow z 2) (* (pow x 2) (pow y 2)))))
(* (pow z 4) (+ (* (pow z 2) (+ (/ 1 (* (pow x 2) (pow y 2))) (/ (pow z 2) (* (pow x 3) (pow y 3))))) (/ 1 (* x y))))
(* (pow z 4) (+ (* (pow z 2) (+ (* (pow z 2) (+ (/ 1 (* (pow x 3) (pow y 3))) (/ (pow z 2) (* (pow x 4) (pow y 4))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))))
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(/ (+ (* -1 y) (* -1 (/ (* x (pow y 2)) (pow z 2)))) (pow z 2))
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Outputs
(+ (* 2 (pow z 2)) (pow z 2))
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(/ (- (+ (/ (pow z 4) y) (/ (pow z 10) (* (pow x 3) (pow y 4)))) (+ (* -1 (/ (pow z 6) (* x (pow y 2)))) (* -1 (/ (pow z 8) (* (pow x 2) (pow y 3)))))) x)
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(/ 1 x)
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(/ (+ 1 (/ (pow z 2) (* x y))) x)
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(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
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(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 2 binary64) y) x)
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(.f64 (fma.f64 (/.f64 x z) (/.f64 y z) (fma.f64 (.f64 x x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 x (pow.f64 z #s(literal 6 binary64))) (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64))))) #s(literal 1 binary64))) (.f64 z z))
(* (pow z 2) (- (* -1 (/ (* x y) (pow z 2))) 1))
(.f64 (.f64 (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) #s(literal -1 binary64)) z) z)
(* (pow z 2) (- (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ 1 (/ (* x y) (pow z 2)))))
(.f64 (neg.f64 (fma.f64 x (fma.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64)))) x (/.f64 y (.f64 z z))) #s(literal 1 binary64))) (.f64 z z))
(* (pow z 2) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 6))) (+ 1 (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 x (fma.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64)))) x (/.f64 y (.f64 z z))) #s(literal 1 binary64)))) (.f64 z z))
(/ (+ (* -1 y) (* -1 (/ (* x (pow y 2)) (pow z 2)))) (pow z 2))
(/.f64 (neg.f64 (fma.f64 (/.f64 x z) (/.f64 (.f64 y y) z) y)) (.f64 z z))
(/ (- (+ (* -1 y) (* -1 (/ (* (pow x 2) (pow y 3)) (pow z 4)))) (/ (* x (pow y 2)) (pow z 2))) (pow z 2))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 x (pow.f64 z #s(literal 4 binary64))))) x y)) (.f64 z z))
(/ (- (+ (* -1 y) (* -1 (/ (* (pow x 3) (pow y 4)) (pow z 6)))) (+ (/ (* x (pow y 2)) (pow z 2)) (/ (* (pow x 2) (pow y 3)) (pow z 4)))) (pow z 2))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 x (pow.f64 z #s(literal 4 binary64))))) x (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)) y))) (*.f64 z z))

rewrite526.0ms (8.2%)

Memory

-4.9MiB live, 425.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	225
0	60	184
1	263	138
2	2190	138
0	9453	137

Stop Event

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

Counts

18 → 1 655

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
(*.f64 #s(literal 2 binary64) z)
(fma.f64 z z (*.f64 y x))
(*.f64 y x)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
(*.f64 #s(literal 3 binary64) z)
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(fma.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))))
(+.f64 (+.f64 (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (.f64 z z))
(+.f64 (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (*.f64 z z))
(neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))
(/.f64 y (fma.f64 (neg.f64 z) z (*.f64 y x)))
(.f64 (.f64 x x) y)

Outputs
(.f64 (-.f64 (pow.f64 (fma.f64 (.f64 z #s(literal 2 binary64)) z (.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (-.f64 (fma.f64 (.f64 z #s(literal 2 binary64)) z (.f64 x y)) (.f64 z z)) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (*.f64 (neg.f64 x) y)) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 (.f64 z z) #s(literal 2 binary64)) (fma.f64 z z (.f64 x y))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (fma.f64 (.f64 z #s(literal 2 binary64)) z (.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 (.f64 z #s(literal 2 binary64)) z (.f64 x y))) (pow.f64 (fma.f64 (.f64 z #s(literal 2 binary64)) z (*.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 (*.f64 #s(literal 3 binary64) z) z)))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (fma.f64 z z (.f64 x y)) (.f64 (*.f64 z z) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 z #s(literal 2 binary64)) z (.f64 x y)) (.f64 z z)) (-.f64 (pow.f64 (fma.f64 (.f64 z #s(literal 2 binary64)) z (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 (.f64 z #s(literal 2 binary64)) z (.f64 x y))) (pow.f64 (fma.f64 (.f64 z #s(literal 2 binary64)) z (.f64 x y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (.f64 z #s(literal 2 binary64)) z (.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y)) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 (.f64 #s(literal 3 binary64) z) z)))) (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 (.f64 z z) #s(literal 2 binary64)) (fma.f64 z z (.f64 x y))) (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (fma.f64 z z (.f64 x y)) (.f64 (.f64 z z) #s(literal 2 binary64))))) (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 z #s(literal 2 binary64)) z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 z #s(literal 2 binary64)) z (.f64 x y)) (.f64 z z))) (.f64 (-.f64 (fma.f64 (.f64 z #s(literal 2 binary64)) z (.f64 x y)) (.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) (.f64 (-.f64 (fma.f64 (.f64 z #s(literal 2 binary64)) z (.f64 x y)) (.f64 z z)) (-.f64 (fma.f64 (.f64 z #s(literal 2 binary64)) z (.f64 x y)) (*.f64 z z))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (*.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 z z) #s(literal 2 binary64)) (fma.f64 z z (.f64 x y)))) (.f64 (-.f64 (.f64 (.f64 z z) #s(literal 2 binary64)) (fma.f64 z z (.f64 x y))) (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (.f64 z z) #s(literal 2 binary64)) (fma.f64 z z (.f64 x y))) (-.f64 (.f64 (.f64 z z) #s(literal 2 binary64)) (fma.f64 z z (*.f64 x y)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (-.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (.f64 x y))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (/.f64 (-.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (/.f64 (-.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (.f64 x y)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64))) (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y)))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 3 binary64))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64))) (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (fma.f64 (.f64 x y) (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal 4 binary64)))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (fma.f64 (.f64 x y) (fma.f64 (neg.f64 z) z (*.f64 x y)) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (fma.f64 (.f64 z z) (fma.f64 z z (.f64 (neg.f64 x) y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (fma.f64 (.f64 z z) (fma.f64 z z (.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (fma.f64 z z (.f64 (neg.f64 x) y))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (fma.f64 z z (*.f64 (neg.f64 x) y)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (neg.f64 z) z (.f64 x y)))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64))) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64)))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (neg.f64 z) z (.f64 x y))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (+.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 8 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))))) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 3 binary64))))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (+.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 8 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))))) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y)))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y)))) (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (neg.f64 (pow.f64 z #s(literal 4 binary64))))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal -4 binary64)))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal -4 binary64)))) (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 1 binary64))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal -4 binary64))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))) (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal 4 binary64)))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (pow.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y)) (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (neg.f64 (pow.f64 z #s(literal 4 binary64))))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64))))
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(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))) (+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))) (.f64 z z)))
(fma.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 3 binary64)))) (pow.f64 (+.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 8 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))))) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 z z))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal -1 binary64)) (fma.f64 z z (/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (*.f64 x y)))))
(fma.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 x y) (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 z z))
(fma.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 z z) (fma.f64 z z (.f64 (neg.f64 x) y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal -1 binary64))) (+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))) (.f64 z z)))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y))) #s(literal -1 binary64)) (+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))) (.f64 z z)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))) #s(literal -1 binary64) (+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))) (.f64 z z)))
(fma.f64 (/.f64 y (fma.f64 (neg.f64 z) z (.f64 x y))) (.f64 (.f64 x x) y) (fma.f64 z z (/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (.f64 x y)))))
(fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 z z (*.f64 x y)))
(fma.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 (neg.f64 z) z (.f64 x y))) (fma.f64 z z (/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (.f64 x y)))))
(fma.f64 (.f64 x x) (.f64 (/.f64 y (fma.f64 (neg.f64 z) z (.f64 x y))) y) (fma.f64 z z (/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (.f64 x y)))))
(fma.f64 (.f64 z z) (/.f64 (.f64 z z) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y)))) (+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))) (.f64 z z)))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 x y))
(fma.f64 x (.f64 (.f64 x y) (/.f64 y (fma.f64 (neg.f64 z) z (.f64 x y)))) (fma.f64 z z (/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (.f64 x y)))))
(fma.f64 x (.f64 x (.f64 (/.f64 y (fma.f64 (neg.f64 z) z (.f64 x y))) y)) (fma.f64 z z (/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (.f64 x y)))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 2 binary64)))
(fma.f64 y (.f64 (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal -1 binary64)) (.f64 (.f64 x x) y)) (fma.f64 z z (/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (*.f64 x y)))))
(fma.f64 y (.f64 (.f64 x x) (/.f64 y (fma.f64 (neg.f64 z) z (.f64 x y)))) (fma.f64 z z (/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (.f64 x y)))))
(fma.f64 y x (.f64 (.f64 z z) #s(literal 2 binary64)))
(fma.f64 (.f64 z #s(literal 2 binary64)) z (.f64 x y))
(fma.f64 z (+.f64 z z) (*.f64 x y))
(fma.f64 z (.f64 z #s(literal 2 binary64)) (.f64 x y))
(fma.f64 z z (fma.f64 z z (*.f64 x y)))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(-.f64 (fma.f64 z z (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 x y))))
(-.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 (neg.f64 z) z (.f64 x y)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 (neg.f64 z) z (*.f64 x y)))))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))) (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))) (.f64 z z)))
(+.f64 (fma.f64 z z (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y)))) (/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (*.f64 x y))))
(+.f64 (fma.f64 z z (/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (.f64 x y)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 x y))))
(+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))) (fma.f64 z z (/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (*.f64 x y)))))
(+.f64 (.f64 (.f64 z z) #s(literal 2 binary64)) (*.f64 x y))
(+.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (.f64 x y))) (+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))) (.f64 z z)))
(+.f64 (.f64 z z) (fma.f64 z z (.f64 x y)))
(+.f64 (fma.f64 z z (.f64 x y)) (.f64 z z))
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 2 binary64)))
(.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) z (*.f64 (neg.f64 x) y)))
(.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))))
(.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))))
(.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal -1 binary64))))
(.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y))) #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))) #s(literal -1 binary64))
(.f64 (.f64 z z) (/.f64 (.f64 z z) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y)))))
(pow.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal -4 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y)))))))
(/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)))))
(/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y))) (pow.f64 z #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal -4 binary64)))))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y))))
(neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 x y))))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 x y))))
(+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (*.f64 x y))))
(.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) z (*.f64 (neg.f64 x) y)))
(.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))))
(.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal -1 binary64)) (pow.f64 z #s(literal 4 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))))
(.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal -1 binary64)))
(.f64 (.f64 z z) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) z (.f64 x y))))
(.f64 (.f64 z z) (.f64 (.f64 z z) (pow.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal -4 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y)))
(/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal -4 binary64))))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)))))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 x y)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (*.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)) (pow.f64 z #s(literal -4 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) z (*.f64 (neg.f64 x) y)))
(.f64 (/.f64 y (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))))
(.f64 (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal -1 binary64)) y)
(.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (neg.f64 z) z (.f64 x y))))
(.f64 (neg.f64 y) (pow.f64 (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y))) #s(literal -1 binary64)))
(.f64 y (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)) y) #s(literal -1 binary64))
(/.f64 (.f64 y #s(literal 1 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y)))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)) y))
(/.f64 (neg.f64 y) (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y))))
(/.f64 y (fma.f64 (neg.f64 z) z (*.f64 x y)))
(neg.f64 (/.f64 (neg.f64 y) (fma.f64 (neg.f64 z) z (*.f64 x y))))
(neg.f64 (/.f64 y (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) y)) #s(literal -1 binary64)))
(.f64 (.f64 x x) y)
(.f64 (.f64 x y) x)
(.f64 x (.f64 x y))
(.f64 y (.f64 x x))

eval128.0ms (2%)

Memory: 16.8MiB live, 169.6MiB allocated
Compiler: Compiled 42 674 to 3 100 computations (92.7% saved)

prune68.0ms (1.1%)

Memory

-16.1MiB live, 61.7MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	818	3	821
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	821	5	826

Accuracy

100.0%

Counts

826 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.0%	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)))
✓	98.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
▶	49.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
✓	49.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	49.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Compiler

Compiled 111 to 62 computations (44.1% saved)

simplify260.0ms (4%)

Memory

-0.2MiB live, 123.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y))
cost-diff	0	(*.f64 #s(literal 2 binary64) z)
cost-diff	0	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)))
cost-diff	704	(*.f64 (fma.f64 z (/.f64 z y) x) y)
cost-diff	-128	(+.f64 z z)
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
cost-diff	384	(fma.f64 z (+.f64 z z) (*.f64 z z))
cost-diff	0	(*.f64 #s(literal 3 binary64) z)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) z) z)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	131
0	38	121
1	63	113
2	82	113
3	98	113
4	109	113
5	113	110
6	117	110
7	285	110
8	1002	110
9	3428	110
10	4529	110
11	4909	110
12	5165	110
13	5289	110
14	5360	110
15	7098	110
0	8131	103

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
(.f64 (.f64 #s(literal 3 binary64) z) z)
(*.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
z
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
(fma.f64 z (+.f64 z z) (*.f64 z z))
z
(+.f64 z z)
(*.f64 z z)
(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
#s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y))
(*.f64 (fma.f64 z (/.f64 z y) x) y)
(fma.f64 z (/.f64 z y) x)
(/.f64 z y)
y
x

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
(.f64 (.f64 #s(literal 3 binary64) z) z)
(*.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
z
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
(fma.f64 z (+.f64 z z) (*.f64 z z))
(.f64 (.f64 #s(literal 3 binary64) z) z)
z
(+.f64 z z)
(*.f64 #s(literal 2 binary64) z)
(*.f64 z z)
(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)))
(fma.f64 #s(literal 2 binary64) (.f64 z z) #s(approx (+ ( z z) (* y x)) (fma.f64 z z (*.f64 y x))))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
#s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y))
#s(approx (+ (* z z) (* y x)) (fma.f64 z z (*.f64 y x)))
(*.f64 (fma.f64 z (/.f64 z y) x) y)
(fma.f64 z z (*.f64 y x))
(fma.f64 z (/.f64 z y) x)
(fma.f64 (/.f64 z y) z x)
(/.f64 z y)
y
x

localize50.0ms (0.8%)

Memory

29.5MiB live, 29.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y))
accuracy	0.0234375	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)))
accuracy	0.046875	(fma.f64 z (/.f64 z y) x)
accuracy	2.6090517442528673	(*.f64 (fma.f64 z (/.f64 z y) x) y)
accuracy	0.0	(+.f64 z z)
accuracy	0.0	(*.f64 z z)
accuracy	0.07421875	(fma.f64 z (+.f64 z z) (*.f64 z z))
accuracy	32.47601718813296	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
accuracy	0.0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.140625	(.f64 (.f64 #s(literal 3 binary64) z) z)
accuracy	32.47601718813296	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Samples

36.0ms

256×

valid

Compiler

Compiled 235 to 51 computations (78.3% saved)

Precisions

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

ival-mult: 15.0ms (60.2% of total)

ival-add: 8.0ms (32.1% of total)

ival-div: 2.0ms (8% of total)

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

exact: 0.0ms (0% of total)

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

series72.0ms (1.1%)

Memory

-18.7MiB live, 20.3MiB allocated

Counts

12 → 26

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
(.f64 (.f64 #s(literal 3 binary64) z) z)
(*.f64 #s(literal 3 binary64) z)
(fma.f64 z (+.f64 z z) (*.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
(*.f64 z z)
(+.f64 z z)
(*.f64 (fma.f64 z (/.f64 z y) x) y)
(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)))
(*.f64 #s(literal 2 binary64) z)
#s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y))
(fma.f64 z (/.f64 z y) x)

Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(/ (pow z 2) y)
(+ x (/ (pow z 2) y))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
x
(* x (+ 1 (/ (pow z 2) (* x y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (- (* -1 (/ (pow z 2) (* x y))) 1)))
(/ (+ (* x y) (pow z 2)) y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* 3 z)
(* 2 z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (/ 1 y) (/ x (pow z 2))))

Calls

9 calls:

Time	Variable		Point	Expression
63.0ms	x	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* z (/ z y)) x) y) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* z (/ z y)) x))
2.0ms	z	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* z (/ z y)) x) y) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* z (/ z y)) x))
2.0ms	z	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* z (/ z y)) x) y) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* z (/ z y)) x))
1.0ms	z	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* z (/ z y)) x) y) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* z (/ z y)) x))
1.0ms	y	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* z (/ z y)) x) y) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* z (/ z y)) x))

simplify132.0ms (2.1%)

Memory

11.0MiB live, 121.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	198
1	230	170
2	706	170
3	2497	170
4	6288	170
0	8172	152

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 25

Calls

Call 1

Inputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(/ (pow z 2) y)
(+ x (/ (pow z 2) y))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
x
(* x (+ 1 (/ (pow z 2) (* x y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (- (* -1 (/ (pow z 2) (* x y))) 1)))
(/ (+ (* x y) (pow z 2)) y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* 3 z)
(* 2 z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (/ 1 y) (/ x (pow z 2))))

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

rewrite329.0ms (5.1%)

Memory

-49.0MiB live, 264.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	121
0	38	111
1	165	102
2	1297	102
0	8620	97

Stop Event

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

Counts

12 → 894

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
(.f64 (.f64 #s(literal 3 binary64) z) z)
(*.f64 #s(literal 3 binary64) z)
(fma.f64 z (+.f64 z z) (*.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
(*.f64 z z)
(+.f64 z z)
(*.f64 (fma.f64 z (/.f64 z y) x) y)
(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)))
(*.f64 #s(literal 2 binary64) z)
#s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y))
(fma.f64 z (/.f64 z y) x)

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
(.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) z) z) z) (.f64 #s(literal 3 binary64) z))
(.f64 (-.f64 (.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 6 binary64))) (pow.f64 (-.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) z)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) z) z)
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 z (.f64 #s(literal 3 binary64) z))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) z) z)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) z) (fma.f64 z z #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 0 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) z) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (.f64 #s(literal 2 binary64) z) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 0 binary64))) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) z))) (neg.f64 (-.f64 (.f64 z z) (*.f64 #s(literal 2 binary64) z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 z z #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) z)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) z) (fma.f64 z z #s(literal 0 binary64))) (.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 z #s(literal 4 binary64)))) (.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) z)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) z) z))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z z) (.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) z) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) z)) (-.f64 (.f64 z z) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) z))))
(/.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 6 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) z)))
(fma.f64 (/.f64 z (fma.f64 z z #s(literal 0 binary64))) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) z) z) (.f64 #s(literal 2 binary64) z)) (*.f64 z z))
(fma.f64 (/.f64 z #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) z) z) (pow.f64 z #s(literal 3 binary64))) (.f64 z z))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) z) (/.f64 z (-.f64 (.f64 #s(literal 2 binary64) z) z)) (*.f64 z z))
(fma.f64 (/.f64 z z) (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 (.f64 #s(literal 2 binary64) z) z)) (*.f64 z z))
(fma.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) z) (/.f64 (.f64 #s(literal 2 binary64) z) (-.f64 (.f64 #s(literal 2 binary64) z) z)) (*.f64 z z))
(fma.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2 binary64) z) z)) (.f64 z z))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 #s(literal 2 binary64) z))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (.f64 z z))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (.f64 z z))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (*.f64 z z))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 6 binary64)) (*.f64 z z))
(fma.f64 #s(literal 512 binary64) (pow.f64 z #s(literal 18 binary64)) (*.f64 z z))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 z z))
(fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (*.f64 z z))
(fma.f64 #s(literal 64 binary64) (pow.f64 z #s(literal 12 binary64)) (*.f64 z z))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) (.f64 z z) (.f64 z z))
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 #s(literal 2 binary64) z) (.f64 z z))
(fma.f64 (pow.f64 z #s(literal 9 binary64)) (.f64 #s(literal 2 binary64) z) (.f64 z z))
(fma.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 8 binary64)) (*.f64 z z))
(fma.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 z z))
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(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) z))
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) z))
(fma.f64 (pow.f64 z #s(literal 9 binary64)) (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) z))
(fma.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 8 binary64)) (*.f64 #s(literal 2 binary64) z))
(fma.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) z))
(fma.f64 #s(literal 4 binary64) (.f64 z z) (.f64 #s(literal 2 binary64) z))
(fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 12 binary64)) (*.f64 #s(literal 2 binary64) z))
(fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) z))
(fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (*.f64 #s(literal 2 binary64) z))
(fma.f64 #s(literal 8 binary64) (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) z))
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) z))
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) z))
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) z))
(fma.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) z))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) z))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) z))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal 2 binary64) z))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) z))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) z))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) z))
(fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 binary64) (*.f64 #s(literal 2 binary64) z))
(fma.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) z))
(fma.f64 (.f64 #s(literal 2 binary64) z) (pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 3/2 binary64)) (.f64 #s(literal 2 binary64) z))
(fma.f64 (.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 3/2 binary64)) (.f64 #s(literal 2 binary64) z))
(fma.f64 (.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 9 binary64)) (.f64 #s(literal 2 binary64) z))
(fma.f64 (.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) z))
(fma.f64 (.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) z))
(fma.f64 (.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 6 binary64)) (.f64 #s(literal 2 binary64) z))
(fma.f64 (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z))
(fma.f64 (.f64 #s(literal 2 binary64) z) (.f64 z z) (*.f64 #s(literal 2 binary64) z))
(fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 #s(literal 2 binary64) z))
(fma.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) z))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) z))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 #s(literal 2 binary64) z))
(fma.f64 #s(literal 2 binary64) z (*.f64 #s(literal 2 binary64) z))
(fma.f64 (.f64 z z) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) z))
(fma.f64 (.f64 z z) (.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) z))
(fma.f64 z (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) z))
(fma.f64 z #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) z))
(fma.f64 z z (*.f64 z z))
(-.f64 (/.f64 (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (.f64 z z) (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 z z) #s(literal 0 binary64)) (/.f64 (.f64 z z) #s(literal 0 binary64)))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 3 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) z)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) z)) #s(literal 3 binary64) (.f64 (log.f64 z) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) z)) #s(literal 3 binary64) (.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) z)) #s(literal 3 binary64) (.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 3 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) z)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) z)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) z)) #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) z))
(+.f64 (.f64 z z) (.f64 z z))
(+.f64 z z)
#s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y))
(.f64 (-.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (-.f64 (.f64 (/.f64 z y) z) x) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (.f64 (/.f64 z y) z)) (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) z x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 z y) z) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (/.f64 z y) z) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 z y) z) x)) (/.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 z y) z) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (/.f64 z y) z) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (/.f64 z y) z) x)) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 z y) z) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 (/.f64 z y) z) x))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 z y) z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) (.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 z y) z) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (.f64 (/.f64 z y) z)) (pow.f64 (*.f64 (/.f64 z y) z) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 z y) z) x)) (.f64 (-.f64 (.f64 (/.f64 z y) z) x) (.f64 x x))) (.f64 (-.f64 (.f64 (/.f64 z y) z) x) (-.f64 (*.f64 (/.f64 z y) z) x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 z y) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (*.f64 (/.f64 z y) z) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 z y) z) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (/.f64 z y) z)) (pow.f64 (*.f64 (/.f64 z y) z) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) z x))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (*.f64 (/.f64 z y) z) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (/.f64 z y) z)) (-.f64 (.f64 x x) (pow.f64 (*.f64 (/.f64 z y) z) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) z x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 z y) z) x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) z x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 z y) z) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (/.f64 z y) z)) (pow.f64 (*.f64 (/.f64 z y) z) #s(literal 2 binary64))))
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) y) x)
(fma.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 z y) x)
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 z (pow.f64 z #s(literal -1 binary64))) x)
(fma.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) x)
(fma.f64 (/.f64 z y) z x)
(fma.f64 (*.f64 z z) (pow.f64 y #s(literal -1 binary64)) x)
(fma.f64 z (/.f64 z y) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (/.f64 z y) z))) (/.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (/.f64 z y) z))))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 z y) z) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (/.f64 z y) z) x)))
(+.f64 (*.f64 (/.f64 z y) z) x)
(+.f64 x (*.f64 (/.f64 z y) z))

eval155.0ms (2.4%)

Memory: 27.9MiB live, 64.0MiB allocated
Compiler: Compiled 19 095 to 1 921 computations (89.9% saved)

prune218.0ms (3.4%)

Memory

-10.2MiB live, 26.7MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	566	1	567
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	566	6	572

Accuracy

100.0%

Counts

572 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.0%	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)))
✓	98.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
✓	49.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
✓	49.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	49.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
▶	55.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 130 to 72 computations (44.6% saved)

simplify4.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB 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) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
0	11	24
1	18	22
2	28	18
3	40	18
4	48	18
5	51	18
0	51	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize112.0ms (1.7%)

Memory

-25.7MiB live, 22.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 y x)
accuracy	28.736701648954604	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Samples

14.0ms

256×

valid

Compiler

Compiled 46 to 21 computations (54.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (61.6% of total)

ival-add: 3.0ms (37% of total)

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

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

series3.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB allocated

Counts

2 → 10

Calls

Call 1

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

Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))

Calls

9 calls:

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

simplify193.0ms (3%)

Memory

6.4MiB live, 119.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	104
1	125	76
2	404	76
3	1377	76
4	4738	76
0	8589	69

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

Inputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))

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

rewrite341.0ms (5.3%)

Memory

0.5MiB live, 241.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
0	11	22
1	53	20
2	515	16
3	7644	16
0	8248	15

Stop Event

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

Counts

2 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Memory: 1.0MiB live, 1.0MiB allocated
Compiler: Compiled 125 to 22 computations (82.4% saved)

prune4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	6	0	6
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	6	6	12

Accuracy

100.0%

Counts

12 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.0%	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)))
✓	98.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
✓	49.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
✓	49.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	49.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	55.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 329 to 122 computations (62.9% saved)

regimes44.0ms (0.7%)

Memory

-1.2MiB live, 37.0MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)))
(+.f64 (+.f64 (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (.f64 z z))

Outputs
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))

Calls

6 calls:

26.0ms	x
4.0ms	y
4.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
4.0ms	z
3.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`z`
98.8%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
98.8%	1	`(*.f64 x y)`
98.8%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes19.0ms (0.3%)

Memory

-3.5MiB live, 33.6MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))

Calls

6 calls:

6.0ms	x
3.0ms	y
2.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
2.0ms	z
2.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`y`
98.7%	1	`z`
98.7%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
98.7%	1	`(*.f64 x y)`
98.7%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes12.0ms (0.2%)

Memory

25.5MiB live, 25.5MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
70.4%	3	`x`
71.1%	3	`y`
80.3%	2	`z`
74.4%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
74.5%	3	`(*.f64 x y)`
80.3%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))

#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Calls

2 calls:

2.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
80.3%	2	`z`
80.3%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes69.0ms (1.1%)

Memory

-28.8MiB live, 50.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

44.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
20.0ms	(*.f64 x y)
1.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
55.1%	1	`x`
55.1%	1	`y`
55.1%	1	`(*.f64 x y)`
55.1%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
55.1%	1	`z`
55.1%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3771329274162115e+30	2.1545621593616937e+30

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3771329274162115e+30	2.1545621593616937e+30

Compiler

Compiled 14 to 14 computations (0% saved)

simplify162.0ms (2.5%)

Memory

25.8MiB live, 59.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	149
1	35	137
2	44	125
3	55	125
4	64	125
5	73	125
6	81	125
7	99	125
8	114	125
9	122	125
10	135	125
11	206	125
12	1201	125
13	2248	125
14	2920	125
15	3785	125
16	4995	125
17	6869	125
18	7326	125
19	7615	125
20	7830	125

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000039769249677312 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000039769249677312 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Outputs
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000039769249677312 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000039769249677312 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

soundness998.0ms (15.5%)

Memory

-14.0MiB live, 465.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	198
1	230	170
2	706	170
3	2497	170
4	6288	170
0	8172	152
0	33	225
0	60	184
1	263	138
2	2190	138
0	9453	137
0	8	36
0	13	36
1	55	32
2	517	26
3	7658	26
0	8262	23
0	70	208
1	244	180
2	776	180
3	2210	180
4	6662	180
0	8142	161

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

Compiler

Compiled 345 to 153 computations (55.7% saved)

preprocess37.0ms (0.6%)

Memory

30.7MiB live, 67.5MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 390 to 120 computations (69.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample856.0ms (13.3%)

explain189.0ms (2.9%)

preprocess70.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize161.0ms (2.5%)

series7.0ms (0.1%)

simplify142.0ms (2.2%)

rewrite389.0ms (6%)

eval32.0ms (0.5%)

prune15.0ms (0.2%)

simplify190.0ms (2.9%)

localize176.0ms (2.7%)

series63.0ms (1%)

simplify207.0ms (3.2%)

rewrite526.0ms (8.2%)

eval128.0ms (2%)

prune68.0ms (1.1%)

simplify260.0ms (4%)

localize50.0ms (0.8%)

series72.0ms (1.1%)

simplify132.0ms (2.1%)

rewrite329.0ms (5.1%)

eval155.0ms (2.4%)

prune218.0ms (3.4%)

simplify4.0ms (0.1%)

localize112.0ms (1.7%)

series3.0ms (0.1%)

simplify193.0ms (3%)

rewrite341.0ms (5.3%)

eval1.0ms (0%)

prune4.0ms (0.1%)

regimes44.0ms (0.7%)

regimes19.0ms (0.3%)

regimes12.0ms (0.2%)

regimes4.0ms (0.1%)

regimes69.0ms (1.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify162.0ms (2.5%)

soundness998.0ms (15.5%)

preprocess37.0ms (0.6%)

end0.0ms (0%)

Profiling