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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

-38.6MiB live, 0.5MiB 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)

sample644.0ms (9.7%)

Memory

45.9MiB live, 944.2MiB allocated

Samples

428.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 258.0ms

ival-mult: 131.0ms (50.7% of total)

ival-add: 118.0ms (45.7% of total)

ival-true: 6.0ms (2.3% of total)

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

Bogosity

explain131.0ms (2%)

Memory

-10.4MiB live, 180.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
3	-	-	`(+.f64 (.f64 x y) (.f64 z z))`
1	-	-	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
1	-	-	`(+.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	3	0
↳	`(*.f64 x y)`	overflow	30
↳	`(*.f64 z z)`	overflow	59
`+.f64`	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`	nan-rescue	1	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	overflow	81
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	81
↳	`(*.f64 x y)`	overflow	30
↳	`(*.f64 z z)`	overflow	118
↳	`(*.f64 z z)`	overflow	59
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	1	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	81
↳	`(*.f64 x y)`	overflow	30
↳	`(*.f64 z z)`	overflow	59
↳	`(*.f64 z z)`	overflow	59

Confusion

	Predicted +	Predicted -
+	3	0
-	0	253

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	0	0	253

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	253
1	2
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms

512×

valid

Compiler

Compiled 145 to 36 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 15.0ms (69.6% of total)

ival-add: 6.0ms (27.8% of total)

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

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

preprocess71.0ms (1.1%)

Memory

2.9MiB live, 51.1MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(+.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

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	1	(+.f64 (.f64 x y) (.f64 z z))
cost-diff	2	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
cost-diff	4	(+.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

localize21.0ms (0.3%)

Memory

-2.4MiB live, 36.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.2578104358302058	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
accuracy	0.3476541858302058	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
accuracy	0.6601541858302059	(+.f64 (.f64 x y) (.f64 z z))

Samples

14.0ms

256×

valid

Compiler

Compiled 86 to 18 computations (79.1% saved)

Precisions

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

ival-mult: 4.0ms (55.2% of total)

ival-add: 3.0ms (41.4% of total)

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

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

series7.0ms (0.1%)

Memory

12.6MiB live, 12.5MiB 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	x	@	-inf	((+ (+ (+ (* 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))

simplify98.0ms (1.5%)

Memory

-6.6MiB live, 111.2MiB 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))

rewrite427.0ms (6.5%)

Memory

-6.3MiB live, 155.5MiB 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 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)

eval29.0ms (0.4%)

Memory: 23.7MiB live, 59.1MiB allocated
Compiler: Compiled 10 015 to 1 015 computations (89.9% saved)

prune72.0ms (1.1%)

Memory

-17.3MiB live, 19.3MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	325	6	331
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	326	6	332

Accuracy

100.0%

Counts

332 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.7%	(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)))
▶	99.1%	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
▶	99.5%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	98.7%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
▶	99.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
▶	55.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))

Compiler

Compiled 182 to 126 computations (30.8% saved)

simplify5.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
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	3	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.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 z z)
cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 z z))
cost-diff	0	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	138
0	38	133
1	59	121
2	71	121
3	79	121
0	79	121

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize66.0ms (1%)

Memory

12.9MiB live, 96.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(*.f64 #s(literal 2 binary64) z)
accuracy	0.05078125	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
accuracy	0.5117132452111204	(fma.f64 z z (*.f64 y x))
accuracy	0.0	(*.f64 z z)
accuracy	0.0	(*.f64 y x)
accuracy	0.7617166858302058	(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	0.5781194952111204	(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	28.539947413814925	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
accuracy	0.0	(*.f64 z z)
accuracy	0.171875	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	0.24999724760556022	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))

Samples

45.0ms

256×

valid

Compiler

Compiled 269 to 47 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 13.0ms (60.8% of total)

ival-add: 8.0ms (37.4% of total)

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

exact: 0.0ms (0% of total)

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

series162.0ms (2.4%)

Memory

-17.6MiB live, 19.2MiB allocated

Counts

13 → 23

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
154.0ms	y	@	0	((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* 3 (* z z)) (* y x)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)))
2.0ms	z	@	-inf	((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* 3 (* z z)) (* y x)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)))
1.0ms	z	@	inf	((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* 3 (* z z)) (* y x)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)))
1.0ms	z	@	0	((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* 3 (* z z)) (* y x)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)))
1.0ms	x	@	-inf	((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* 3 (* z z)) (* y x)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)))

simplify177.0ms (2.7%)

Memory

9.0MiB live, 127.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	163
1	248	163
2	788	163
3	2233	163
4	6591	163
0	8072	146

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

Calls

Call 1

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

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

rewrite333.0ms (5%)

Memory

2.4MiB live, 195.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	108
0	38	103
1	155	91
2	1177	91
0	8319	91

Stop Event

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

Counts

13 → 843

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z z (.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 (*.f64 z z) #s(literal 3 binary64))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y (/.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 x y #s(literal 0 binary64))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x y (/.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 (.f64 z z) (-.f64 (*.f64 z z) (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))))
(.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 z #s(literal 12 binary64)) (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (fma.f64 z z (*.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y (.f64 #s(literal -3 binary64) (*.f64 z z))))))
(.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)))))
(.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 x y) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))))))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (fma.f64 x y (.f64 #s(literal -3 binary64) (*.f64 z z))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y))) #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 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (fma.f64 x y (/.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 x y #s(literal 0 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))))))
(.f64 (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 z #s(literal 12 binary64)) (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (fma.f64 z z (*.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 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 (.f64 (.f64 z z) #s(literal 3 binary64)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 (neg.f64 x) y)) (pow.f64 (*.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) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (fma.f64 x y (/.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) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 z z))))))
(.f64 (+.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 z z) (-.f64 (*.f64 z z) (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))))) (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))))) (+.f64 (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y))))) (.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))))) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))) (.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))))) (+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 (neg.f64 x) y))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 (neg.f64 x) y)))) (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 (neg.f64 x) y))))) (+.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 (neg.f64 x) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (*.f64 (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) (fma.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) (.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (*.f64 x y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (fma.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (*.f64 z z))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 (neg.f64 x) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 (neg.f64 x) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 (neg.f64 x) y))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 (neg.f64 x) y))) (fma.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 (neg.f64 x) y))) (.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (-.f64 (fma.f64 z z (*.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 z z) (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (*.f64 x y))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 z #s(literal 12 binary64)) (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (fma.f64 z z (.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 (neg.f64 x) y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 (neg.f64 x) y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))))
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(.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 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 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x y) (fma.f64 x y (.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 x y (*.f64 (neg.f64 z) z)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 z z (*.f64 (neg.f64 x) y)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 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 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 x y) (fma.f64 x y (.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x y))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 (neg.f64 z) z))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 (neg.f64 z) z)))) (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x y (.f64 (neg.f64 z) z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x y (.f64 (neg.f64 z) z))))) (+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 (neg.f64 z) z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 (neg.f64 x) y))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 (neg.f64 x) y)))) (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (.f64 (neg.f64 x) y))))) (+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 (neg.f64 z) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x y (.f64 (neg.f64 z) z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 (neg.f64 z) z))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 (neg.f64 z) z))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x y (.f64 (neg.f64 z) z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x y (.f64 (neg.f64 z) z))) (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 (neg.f64 z) z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 (neg.f64 x) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (.f64 (neg.f64 x) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 (neg.f64 x) y))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 (neg.f64 x) y))) (fma.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (.f64 (neg.f64 x) y))) (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 x y (.f64 (neg.f64 z) z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 z z (.f64 (neg.f64 x) y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))))) (neg.f64 (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 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 (neg.f64 z) z))) (.f64 (fma.f64 x y (.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (fma.f64 x y (.f64 (neg.f64 z) z)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 (neg.f64 x) y))) (.f64 (fma.f64 z z (.f64 (neg.f64 x) y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 z z (.f64 (neg.f64 x) y)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 x y (.f64 (neg.f64 z) z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z z (.f64 (neg.f64 x) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 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 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 (neg.f64 z) z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (fma.f64 z z (.f64 (neg.f64 x) y)))
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (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 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 x y))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 z z (.f64 (neg.f64 x) y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y)))))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 x y (.f64 (neg.f64 z) z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z)))))
(fma.f64 z z (*.f64 x y))
(fma.f64 x y (*.f64 z z))
(fma.f64 y x (*.f64 z z))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 (neg.f64 z) z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z))))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))))
(+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 (neg.f64 z) z))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 (neg.f64 x) y))) (neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y)))))
(+.f64 (.f64 x y) (.f64 z z))
(+.f64 (.f64 z z) (.f64 x y))

eval63.0ms (1%)

Memory: -4.0MiB live, 67.3MiB allocated
Compiler: Compiled 8 513 to 849 computations (90% saved)

prune9.0ms (0.1%)

Memory

25.8MiB live, 25.8MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	297	3	300
Fresh	0	1	1
Picked	2	3	5
Done	0	0	0
Total	299	7	306

Accuracy

100.0%

Counts

306 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.7%	(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)))
▶	55.3%	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z)))
✓	99.5%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	42.7%	(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))
✓	99.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
✓	55.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	55.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Compiler

Compiled 129 to 87 computations (32.6% saved)

simplify240.0ms (3.6%)

Memory

-21.0MiB live, 44.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 z #s(literal 6 binary64))
cost-diff	0	(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64)))
cost-diff	2	(+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))
cost-diff	2	(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)))
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (* z z) (* y x)) (*.f64 z z))
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 z z)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(pow.f64 (*.f64 x y) #s(literal 2 binary64))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))
cost-diff	1	(-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
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	40	193
0	64	186
1	112	183
2	188	180
3	289	180
4	415	180
5	650	180
6	991	180
7	1685	180
8	3139	180
9	3820	180
10	4211	180
11	4285	180
12	4340	180
13	4359	180
14	4565	180
15	4647	180
16	4647	180
17	4647	180
18	4647	180
19	4647	180
20	4653	180
0	4653	176

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 (.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
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))
(-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
#s(literal 9 binary64)
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
(fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))
(.f64 #s(literal -3 binary64) (.f64 z z))
#s(literal -3 binary64)
(*.f64 z z)
(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z)))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
#s(approx (+ (* z z) (* y x)) (*.f64 z z))
(*.f64 z z)
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)))
(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64)))
#s(literal 2 binary64)
(pow.f64 z #s(literal 6 binary64))
z
#s(literal 6 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))
#s(literal 0 binary64)
(pow.f64 z #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 z z (*.f64 y x))
(*.f64 y x)
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
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))
(/.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 #s(literal -3 binary64) (.f64 z z) (*.f64 y x)))
(-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 #s(literal -9 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 x y)
(*.f64 y x)
x
y
#s(literal 2 binary64)
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))
#s(literal 9 binary64)
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
(fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))
(fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x))
(.f64 #s(literal -3 binary64) (.f64 z z))
#s(literal -3 binary64)
(*.f64 z z)
(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z)))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
#s(approx (+ (* z z) (* y x)) (*.f64 z z))
(*.f64 z z)
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 6 binary64)) (fma.f64 z z (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64)))
(*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 z #s(literal 6 binary64))
z
#s(literal 6 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))
(pow.f64 z #s(literal 4 binary64))
#s(literal 0 binary64)
(pow.f64 z #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 z z (*.f64 y x))
(*.f64 y x)
y
x

localize137.0ms (2.1%)

Memory

3.3MiB live, 115.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64)))
accuracy	0.47165662719487367	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
accuracy	0.5117132452111204	(fma.f64 z z (*.f64 y x))
accuracy	44.649329015802856	(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)))
accuracy	0.0	(*.f64 z z)
accuracy	0.0	(*.f64 #s(literal 2 binary64) z)
accuracy	0.05078125	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z)))
accuracy	28.54946473109057	#s(approx (+ (* z z) (* y x)) (*.f64 z z))
accuracy	0.25390625	(pow.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy	0.7538979928166806	(fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))
accuracy	5.343719037453088	(-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
accuracy	33.21685808896352	(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))
accuracy	0.0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.1328125	(.f64 (.f64 #s(literal 3 binary64) z) z)
accuracy	28.539947413814925	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Samples

115.0ms

256×

valid

Compiler

Compiled 384 to 78 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-add: 43.0ms (47.3% of total)

ival-div: 21.0ms (23.1% of total)

ival-mult: 16.0ms (17.6% of total)

ival-pow: 5.0ms (5.5% of total)

ival-pow2: 3.0ms (3.3% of total)

ival-sub: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

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

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

series45.0ms (0.7%)

Memory

-22.6MiB live, 56.6MiB allocated

Counts

18 → 41

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)
(-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z)))
(*.f64 #s(literal 2 binary64) z)
#s(approx (+ (* z z) (* y x)) (*.f64 z z))
(*.f64 z z)
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)))
(+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64)))
(pow.f64 z #s(literal 6 binary64))
(fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))
(fma.f64 z z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))

Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* -9 (pow z 4))
(- (* (pow x 2) (pow y 2)) (* 9 (pow z 4)))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(* (pow x 2) (pow y 2))
(* x y)
(pow z 2)
(+ (* x y) (pow z 2))
(* -3 (pow z 2))
(+ (* -3 (pow z 2)) (* x y))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* (pow x 2) (+ (* -9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (* -3 (/ (pow z 2) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* 3 (/ (pow z 2) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* (pow y 2) (+ (* -9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (* -3 (/ (pow z 2) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* 3 (/ (pow z 2) y)))))
(* 3 z)
(+ (* -9 (pow z 4)) (* (pow x 2) (pow y 2)))
(* 2 z)
(pow z 4)
(* 2 (pow z 6))
(pow z 6)
(/ 1 (pow z 4))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 4) (- (/ (* (pow x 2) (pow y 2)) (pow z 4)) 9))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (- (/ (* x y) (pow z 2)) 3))

Calls

9 calls:

Time	Variable		Point	Expression
22.0ms	y	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (- (pow (* x y) 2) (* 9 (pow z 4))) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (pow (* x y) 2) (* x y) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* z z) (+ (* (* 2 (pow z 6)) (/ 1 (+ 0 (pow z 4)))) (+ (* z z) (* y x))) (+ 0 (pow z 4)) (* 2 (pow z 6)) (pow z 6) (+ (* x y) (* -3 (* z z))) (+ (* z z) (* y x)) (/ 1 (+ 0 (pow z 4))))
6.0ms	z	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (- (pow (* x y) 2) (* 9 (pow z 4))) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (pow (* x y) 2) (* x y) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* z z) (+ (* (* 2 (pow z 6)) (/ 1 (+ 0 (pow z 4)))) (+ (* z z) (* y x))) (+ 0 (pow z 4)) (* 2 (pow z 6)) (pow z 6) (+ (* x y) (* -3 (* z z))) (+ (* z z) (* y x)) (/ 1 (+ 0 (pow z 4))))
3.0ms	x	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (- (pow (* x y) 2) (* 9 (pow z 4))) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (pow (* x y) 2) (* x y) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* z z) (+ (* (* 2 (pow z 6)) (/ 1 (+ 0 (pow z 4)))) (+ (* z z) (* y x))) (+ 0 (pow z 4)) (* 2 (pow z 6)) (pow z 6) (+ (* x y) (* -3 (* z z))) (+ (* z z) (* y x)) (/ 1 (+ 0 (pow z 4))))
3.0ms	z	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (- (pow (* x y) 2) (* 9 (pow z 4))) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (pow (* x y) 2) (* x y) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* z z) (+ (* (* 2 (pow z 6)) (/ 1 (+ 0 (pow z 4)))) (+ (* z z) (* y x))) (+ 0 (pow z 4)) (* 2 (pow z 6)) (pow z 6) (+ (* x y) (* -3 (* z z))) (+ (* z z) (* y x)) (/ 1 (+ 0 (pow z 4))))
3.0ms	z	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (- (pow (* x y) 2) (* 9 (pow z 4))) (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (pow (* x y) 2) (* x y) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* z z) (+ (* (* 2 (pow z 6)) (/ 1 (+ 0 (pow z 4)))) (+ (* z z) (* y x))) (+ 0 (pow z 4)) (* 2 (pow z 6)) (pow z 6) (+ (* x y) (* -3 (* z z))) (+ (* z z) (* y x)) (/ 1 (+ 0 (pow z 4))))

simplify276.0ms (4.2%)

Memory

15.8MiB live, 211.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	371
1	348	327
2	1071	327
3	3186	323
0	8563	295

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 41

Calls

Call 1

Inputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* -9 (pow z 4))
(- (* (pow x 2) (pow y 2)) (* 9 (pow z 4)))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(* (pow x 2) (pow y 2))
(* x y)
(pow z 2)
(+ (* x y) (pow z 2))
(* -3 (pow z 2))
(+ (* -3 (pow z 2)) (* x y))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* (pow x 2) (+ (* -9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (* -3 (/ (pow z 2) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* 3 (/ (pow z 2) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* (pow y 2) (+ (* -9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (* -3 (/ (pow z 2) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* 3 (/ (pow z 2) y)))))
(* 3 z)
(+ (* -9 (pow z 4)) (* (pow x 2) (pow y 2)))
(* 2 z)
(pow z 4)
(* 2 (pow z 6))
(pow z 6)
(/ 1 (pow z 4))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 4) (- (/ (* (pow x 2) (pow y 2)) (pow z 4)) 9))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (- (/ (* x y) (pow z 2)) 3))

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 z z) #s(literal 3 binary64) (.f64 y x))
(* -9 (pow z 4))
(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))
(- (* (pow x 2) (pow y 2)) (* 9 (pow z 4)))
(fma.f64 (.f64 (.f64 y y) x) x (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)))
(* 3 (pow z 2))
(.f64 (.f64 #s(literal 3 binary64) z) z)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(* (pow x 2) (pow y 2))
(.f64 (.f64 (*.f64 y y) x) x)
(* x y)
(*.f64 y x)
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(* -3 (pow z 2))
(.f64 (.f64 #s(literal -3 binary64) z) z)
(+ (* -3 (pow z 2)) (* x y))
(fma.f64 (.f64 #s(literal -3 binary64) z) z (.f64 y x))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(* (pow x 2) (+ (* -9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)) #s(literal 1 binary64)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* x (+ y (* -3 (/ (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 z z) #s(literal 3 binary64) (.f64 y x))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* 3 (/ (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 z z) #s(literal 3 binary64) (.f64 y x))
(* (pow y 2) (+ (* -9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)) #s(literal 1 binary64)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 z z (*.f64 y x))
(* y (+ x (* -3 (/ (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 z z) #s(literal 3 binary64) (.f64 y x))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* y (+ (* -1 x) (* 3 (/ (pow z 2) y)))))
(fma.f64 (.f64 #s(literal -3 binary64) z) z (.f64 y x))
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(+ (* -9 (pow z 4)) (* (pow x 2) (pow y 2)))
(fma.f64 (.f64 (.f64 y y) x) x (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)))
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(pow z 4)
(pow.f64 z #s(literal 4 binary64))
(* 2 (pow z 6))
(*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 2 binary64))
(pow z 6)
(pow.f64 z #s(literal 6 binary64))
(/ 1 (pow z 4))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(* (pow z 4) (- (/ (* (pow x 2) (pow y 2)) (pow z 4)) 9))
(.f64 (fma.f64 (.f64 (*.f64 y y) x) (/.f64 x (pow.f64 z #s(literal 4 binary64))) #s(literal -9 binary64)) (pow.f64 z #s(literal 4 binary64)))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* (pow z 2) (- (/ (* x y) (pow z 2)) 3))
(fma.f64 (.f64 #s(literal -3 binary64) z) z (.f64 y x))

rewrite457.0ms (6.9%)

Memory

-12.8MiB live, 262.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	152
0	64	144
1	266	128
2	2160	125
0	8926	121

Stop Event

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

Counts

18 → 826

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)
(-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z)))
(*.f64 #s(literal 2 binary64) z)
#s(approx (+ (* z z) (* y x)) (*.f64 z z))
(*.f64 z z)
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)))
(+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64)))
(pow.f64 z #s(literal 6 binary64))
(fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))
(fma.f64 z z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))

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) (.f64 z z))
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 z (.f64 #s(literal 3 binary64) z))
(*.f64 #s(literal 3 binary64) z)
(*.f64 z #s(literal 3 binary64))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (.f64 #s(literal 81 binary64) (pow.f64 z #s(literal 8 binary64)))) (pow.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (.f64 #s(literal 729 binary64) (pow.f64 z #s(literal 12 binary64)))) (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (.f64 y x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 z z) (.f64 y x)) (fma.f64 y x (.f64 (*.f64 #s(literal 3 binary64) z) z)))
(pow.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (*.f64 #s(literal 81 binary64) (pow.f64 z #s(literal 8 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 729 binary64) (pow.f64 z #s(literal 12 binary64))))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 z #s(literal 12 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 #s(literal 81 binary64) (pow.f64 z #s(literal 8 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (.f64 (.f64 #s(literal -9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 #s(literal -3 binary64) (.f64 z z))) (.f64 #s(literal -3 binary64) (.f64 z z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (.f64 #s(literal -3 binary64) (.f64 z z))) (.f64 #s(literal -3 binary64) (.f64 z z))) (.f64 (neg.f64 (.f64 #s(literal -3 binary64) (.f64 z z))) (.f64 #s(literal -3 binary64) (.f64 z z)))) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 #s(literal -3 binary64) (.f64 z z))) (.f64 #s(literal -3 binary64) (*.f64 z z)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (.f64 #s(literal 81 binary64) (pow.f64 z #s(literal 8 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (.f64 #s(literal 729 binary64) (pow.f64 z #s(literal 12 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))))
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(.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 8 binary64))) (/.f64 (.f64 z z) (pow.f64 z #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 z z) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 z #s(literal 8 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 z #s(literal 8 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))))
(.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 (.f64 z z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 (pow.f64 z #s(literal -12 binary64)) (pow.f64 (pow.f64 z #s(literal -8 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -12 binary64)) (pow.f64 z #s(literal 8 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (pow.f64 z #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -4 binary64)))
(.f64 (.f64 z z) (/.f64 (*.f64 z z) (pow.f64 z #s(literal 8 binary64))))
(pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 z #s(literal 8 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 z z) #s(literal -2 binary64))
(pow.f64 z #s(literal -4 binary64))
(/.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) (neg.f64 (*.f64 z z)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 z z))
(/.f64 (neg.f64 (pow.f64 z #s(literal 8 binary64))) (neg.f64 (pow.f64 z #s(literal 12 binary64))))
(/.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 z #s(literal 12 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 z #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))))
(-.f64 (pow.f64 z #s(literal -4 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 12 binary64))))
(exp.f64 (-.f64 (fma.f64 (log.f64 z) #s(literal 4 binary64) (.f64 (log.f64 z) #s(literal 4 binary64))) (.f64 (*.f64 (log.f64 z) #s(literal 4 binary64)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 z) #s(literal -4 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 z) #s(literal 4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal 4 binary64)) #s(literal -1 binary64)))

eval122.0ms (1.8%)

Memory: -9.1MiB live, 177.4MiB allocated
Compiler: Compiled 25 926 to 2 445 computations (90.6% saved)

prune141.0ms (2.1%)

Memory

-8.2MiB live, 68.9MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	895	3	898
Fresh	0	0	0
Picked	3	1	4
Done	0	3	3
Total	898	7	905

Accuracy

100.0%

Counts

905 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.0%	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)))))
▶	55.3%	(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
✓	99.5%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	20.8%	(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (*.f64 z z))))
✓	99.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
✓	55.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	55.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Compiler

Compiled 144 to 90 computations (37.5% saved)

simplify284.0ms (4.3%)

Memory

18.1MiB live, 223.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* z z) (* y x)) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))))
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 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)))))
cost-diff	6	(/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (* z z) (* y x)) (*.f64 z z))
cost-diff	0	(+.f64 z z)
cost-diff	0	(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
cost-diff	0	(pow.f64 z #s(literal 4 binary64))
cost-diff	0	(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))
cost-diff	0	#s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)))
cost-diff	0	(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (*.f64 z z))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	192
0	48	150
1	80	150
2	148	150
3	392	150
4	740	150
5	2083	150
6	4649	150
0	8502	144

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (*.f64 z z))))
#s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)))
(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
#s(literal -9 binary64)
(fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))
x
y
(.f64 #s(literal -3 binary64) (.f64 z z))
#s(literal -3 binary64)
(*.f64 z z)
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
z
(+.f64 z z)
#s(approx (+ (* z z) (* y x)) (*.f64 z z))
(*.f64 z z)
(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)))))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
#s(approx (+ (* z z) (* y x)) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))))
(.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)))
(/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))
(pow.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 z z)

Outputs
(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (*.f64 z z))))
(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 (.f64 z z) #s(literal -3 binary64) (*.f64 y x)))
#s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)))
(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
#s(literal -9 binary64)
(fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))
(fma.f64 (.f64 z z) #s(literal -3 binary64) (.f64 y x))
x
y
(.f64 #s(literal -3 binary64) (.f64 z z))
(.f64 (.f64 z z) #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 z z)
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
(fma.f64 (.f64 z #s(literal 2 binary64)) z #s(approx (+ ( z z) (* y x)) (*.f64 z z)))
z
(+.f64 z z)
(*.f64 z #s(literal 2 binary64))
#s(approx (+ (* z z) (* y x)) (*.f64 z z))
(*.f64 z z)
(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)))))
(fma.f64 (.f64 z #s(literal 2 binary64)) z #s(approx (+ ( z z) (* y x)) (*.f64 z z)))
(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)
z
#s(approx (+ (* z z) (* y x)) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))))
#s(approx (+ (* z z) (* y x)) (*.f64 z z))
(.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)))
(*.f64 z z)
(/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))
z
(pow.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 z z)

localize108.0ms (1.6%)

Memory

-35.9MiB live, 134.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 2 binary64) z)
accuracy	0.05078125	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)))))
accuracy	28.54946473109057	#s(approx (+ (* z z) (* y x)) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))))
accuracy	38.61167299235128	(/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))
accuracy	0.0	(+.f64 z z)
accuracy	0.0	(*.f64 z z)
accuracy	0.05078125	(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
accuracy	28.54946473109057	#s(approx (+ (* z z) (* y x)) (*.f64 z z))
accuracy	0.171875	(.f64 #s(literal -3 binary64) (.f64 z z))
accuracy	0.7538979928166806	(fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))
accuracy	25.91273191829837	#s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)))
accuracy	33.21685808896352	(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (*.f64 z z))))

Samples

51.0ms

256×

valid

Compiler

Compiled 338 to 67 computations (80.2% saved)

Precisions

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

ival-mult: 17.0ms (44.9% of total)

ival-add: 5.0ms (13.2% of total)

ival-pow: 5.0ms (13.2% of total)

ival-pow2: 5.0ms (13.2% of total)

ival-div: 3.0ms (7.9% of total)

ival-sub: 1.0ms (2.6% of total)

exact: 1.0ms (2.6% of total)

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

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

series14.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

14 → 38

Calls

Call 1

Inputs
(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (*.f64 z z))))
#s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)))
(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))
(pow.f64 z #s(literal 4 binary64))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
(+.f64 z z)
#s(approx (+ (* z z) (* y x)) (*.f64 z z))
(*.f64 z z)
(/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))
(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)))))
(*.f64 #s(literal 2 binary64) z)
#s(approx (+ (* z z) (* y x)) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))))
(fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))
(.f64 #s(literal -3 binary64) (.f64 z z))

Outputs
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(* -9 (pow z 4))
(- (* (pow x 2) (pow y 2)) (* 9 (pow z 4)))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(* -3 (pow z 2))
(+ (* -3 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (* -9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (* -3 (/ (pow z 2) x))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 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 y) (* 3 (/ (pow z 2) x)))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* (pow y 2) (+ (* -9 (/ (pow z 4) (pow y 2))) (pow x 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))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* 3 (/ (pow z 2) y)))))
(+ (* -9 (pow z 4)) (* (pow x 2) (pow y 2)))
(pow z 4)
(* 2 z)
z
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 4) (- (/ (* (pow x 2) (pow y 2)) (pow z 4)) 9))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (- (/ (* x y) (pow z 2)) 3))

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	((/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (- (pow (* x y) 2) (* 9 (pow z 4))) (* (pow z 4) -9) (pow z 4) (+ (* z (+ z z)) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* z z) (/ (pow z 3) (* z z)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* x y) (* -3 (* z z))) (* -3 (* z z)))
2.0ms	z	@	inf	((/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (- (pow (* x y) 2) (* 9 (pow z 4))) (* (pow z 4) -9) (pow z 4) (+ (* z (+ z z)) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* z z) (/ (pow z 3) (* z z)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* x y) (* -3 (* z z))) (* -3 (* z z)))
2.0ms	z	@	0	((/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (- (pow (* x y) 2) (* 9 (pow z 4))) (* (pow z 4) -9) (pow z 4) (+ (* z (+ z z)) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* z z) (/ (pow z 3) (* z z)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* x y) (* -3 (* z z))) (* -3 (* z z)))
1.0ms	x	@	0	((/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (- (pow (* x y) 2) (* 9 (pow z 4))) (* (pow z 4) -9) (pow z 4) (+ (* z (+ z z)) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* z z) (/ (pow z 3) (* z z)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* x y) (* -3 (* z z))) (* -3 (* z z)))
1.0ms	x	@	-inf	((/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (- (pow (* x y) 2) (* 9 (pow z 4))) (* (pow z 4) -9) (pow z 4) (+ (* z (+ z z)) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* z z) (/ (pow z 3) (* z z)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* x y) (* -3 (* z z))) (* -3 (* z z)))

simplify178.0ms (2.7%)

Memory

13.0MiB live, 125.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	312
1	341	312
2	1066	312
3	3202	308
0	8561	280

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 37

Calls

Call 1

Inputs
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(* -9 (pow z 4))
(- (* (pow x 2) (pow y 2)) (* 9 (pow z 4)))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(* -3 (pow z 2))
(+ (* -3 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (* -9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (* -3 (/ (pow z 2) x))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 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 y) (* 3 (/ (pow z 2) x)))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* (pow y 2) (+ (* -9 (/ (pow z 4) (pow y 2))) (pow x 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))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* 3 (/ (pow z 2) y)))))
(+ (* -9 (pow z 4)) (* (pow x 2) (pow y 2)))
(pow z 4)
(* 2 z)
z
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 4) (- (/ (* (pow x 2) (pow y 2)) (pow z 4)) 9))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (- (/ (* x y) (pow z 2)) 3))

Outputs
(* 3 (pow z 2))
(.f64 (.f64 #s(literal 3 binary64) z) z)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
(* -9 (pow z 4))
(*.f64 #s(literal -9 binary64) (pow.f64 z #s(literal 4 binary64)))
(- (* (pow x 2) (pow y 2)) (* 9 (pow z 4)))
(fma.f64 (.f64 (.f64 y y) x) x (*.f64 #s(literal -9 binary64) (pow.f64 z #s(literal 4 binary64))))
(+ (* 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))
(* -3 (pow z 2))
(.f64 (.f64 #s(literal -3 binary64) z) z)
(+ (* -3 (pow z 2)) (* x y))
(fma.f64 (.f64 #s(literal -3 binary64) z) z (.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ y (* 3 (/ (pow z 2) x))))
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
(* (pow x 2) (pow y 2))
(.f64 (.f64 (*.f64 y y) x) x)
(* (pow x 2) (+ (* -9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 #s(literal -9 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(* 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 (+ y (* -3 (/ (pow z 2) x))))
(fma.f64 (.f64 #s(literal -3 binary64) z) z (.f64 y x))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(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))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* 3 (/ (pow z 2) x)))))
(fma.f64 (.f64 #s(literal -3 binary64) z) z (.f64 y x))
(* y (+ x (* 3 (/ (pow z 2) y))))
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
(* (pow y 2) (+ (* -9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(fma.f64 (.f64 (.f64 y y) x) x (.f64 (.f64 #s(literal -9 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(* 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))
(* y (+ x (* -3 (/ (pow z 2) y))))
(fma.f64 (.f64 #s(literal -3 binary64) z) z (.f64 y x))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(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))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* y (+ (* -1 x) (* 3 (/ (pow z 2) y)))))
(fma.f64 (.f64 #s(literal -3 binary64) z) z (.f64 y x))
(+ (* -9 (pow z 4)) (* (pow x 2) (pow y 2)))
(fma.f64 (.f64 (.f64 y y) x) x (*.f64 #s(literal -9 binary64) (pow.f64 z #s(literal 4 binary64))))
(pow z 4)
(pow.f64 z #s(literal 4 binary64))
(* 2 z)
(*.f64 z #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 4) (- (/ (* (pow x 2) (pow y 2)) (pow z 4)) 9))
(.f64 (fma.f64 (.f64 (*.f64 y y) x) (/.f64 x (pow.f64 z #s(literal 4 binary64))) #s(literal -9 binary64)) (pow.f64 z #s(literal 4 binary64)))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* (pow z 2) (- (/ (* x y) (pow z 2)) 3))
(fma.f64 (.f64 #s(literal -3 binary64) z) z (.f64 y x))

rewrite54.0ms (0.8%)

Memory

22.2MiB live, 22.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	158
0	48	134
1	195	128
0	1371	120

Stop Event

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

Counts

14 → 293

Calls

Call 1

Inputs
(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (*.f64 z z))))
#s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)))
(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))
(pow.f64 z #s(literal 4 binary64))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
(+.f64 z z)
#s(approx (+ (* z z) (* y x)) (*.f64 z z))
(*.f64 z z)
(/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))
(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)))))
(*.f64 #s(literal 2 binary64) z)
#s(approx (+ (* z z) (* y x)) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))))
(fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))
(.f64 #s(literal -3 binary64) (.f64 z z))

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

eval188.0ms (2.8%)

Memory: -22.4MiB live, 92.2MiB allocated
Compiler: Compiled 11 606 to 1 234 computations (89.4% saved)

prune28.0ms (0.4%)

Memory

-1.1MiB live, 37.5MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	382	4	386
Fresh	0	0	0
Picked	2	1	3
Done	1	3	4
Total	385	8	393

Accuracy

100.0%

Counts

393 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.1%	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)) (.f64 (.f64 z z) (/.f64 z (*.f64 z z))))))
✓	55.3%	(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
✓	99.5%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
	20.9%	(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal -9 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))
	20.8%	(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal -9 binary64)))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))
	51.0%	#s(approx (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (*.f64 y x))
✓	55.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	55.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Compiler

Compiled 529 to 203 computations (61.6% saved)

regimes118.0ms (1.8%)

Memory

-11.3MiB live, 42.6MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* 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)))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.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 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z)))
(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))
(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal -9 binary64)))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))
(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal -9 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))
(/.f64 #s(approx (- (pow (* x y) 2) (* 9 (pow z 4))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (*.f64 z z))))
(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)) (.f64 (.f64 z z) (/.f64 z (*.f64 z z))))))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))
(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)))))

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

Calls

6 calls:

90.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
6.0ms	z
6.0ms	x
6.0ms	y
5.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`y`
99.5%	1	`z`
99.5%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.5%	1	`(*.f64 x y)`
99.5%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes16.0ms (0.2%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* 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)))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.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:

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

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`y`
99.1%	1	`z`
99.1%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.1%	1	`(*.f64 x y)`
99.1%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes15.0ms (0.2%)

Memory

-10.7MiB live, 27.1MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* 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)))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))

Outputs
#s(approx (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (*.f64 y x))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))

Calls

6 calls:

5.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
2.0ms	y
2.0ms	z
2.0ms	x
2.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
72.4%	3	`x`
66.1%	3	`y`
87.1%	2	`z`
79.0%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
72.5%	3	`(*.f64 x y)`
87.1%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes4.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* 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 (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* 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
87.1%	2	`z`
87.1%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes9.0ms (0.1%)

Memory

-18.5MiB live, 19.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (*.f64 y x))

Outputs
#s(approx (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (*.f64 y x))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
51.0%	1	`y`
51.0%	1	`x`
51.0%	1	`(*.f64 x y)`
51.0%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
51.0%	1	`z`
51.0%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.094909808787776e-129	1.6780163234359364e-113

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.094909808787776e-129	1.6780163234359364e-113

Compiler

Compiled 14 to 14 computations (0% saved)

simplify69.0ms (1%)

Memory

34.9MiB live, 70.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	156
1	61	152
2	105	148
3	172	148
4	285	148
5	494	148
6	879	148
7	3739	148

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 y x (.f64 #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)))
(if (<=.f64 (.f64 z z) #s(literal 7804371375789981/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)) #s(approx (/ (- (pow ( x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (.f64 y x)) (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 7804371375789981/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)) #s(approx (/ (- (pow ( x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* 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 (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (*.f64 y x))

Outputs
(fma.f64 y x (.f64 #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)))
(if (<=.f64 (.f64 z z) #s(literal 7804371375789981/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)) #s(approx (/ (- (pow ( x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (.f64 y x)) (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 7804371375789981/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)) #s(approx (/ (- (pow ( x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* 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 (/ (- (pow (* x y) 2) (* 9 (pow z 4))) (+ (* x y) (* -3 (* z z)))) (*.f64 y x))

soundness1.7s (26.4%)

Memory

-21.5MiB live, 860.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	312
1	341	312
2	1066	312
3	3202	308
0	8561	280
0	8	36
0	13	36
1	55	32
2	517	26
3	7658	26
0	8262	23
0	40	152
0	64	144
1	266	128
2	2160	125
0	8926	121
0	23	108
0	38	103
1	155	91
2	1177	91
0	8319	91
0	70	208
1	244	180
2	776	180
3	2210	180
4	6662	180
0	8142	161
0	111	371
1	348	327
2	1071	327
3	3186	323
0	8563	295
0	71	163
1	248	163
2	788	163
3	2233	163
4	6591	163
0	8072	146

Stop Event

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

Compiler

Compiled 430 to 207 computations (51.9% saved)

preprocess46.0ms (0.7%)

Memory

14.6MiB live, 53.5MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 392 to 138 computations (64.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample644.0ms (9.7%)

explain131.0ms (2%)

preprocess71.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize21.0ms (0.3%)

series7.0ms (0.1%)

simplify98.0ms (1.5%)

rewrite427.0ms (6.5%)

eval29.0ms (0.4%)

prune72.0ms (1.1%)

simplify5.0ms (0.1%)

localize66.0ms (1%)

series162.0ms (2.4%)

simplify177.0ms (2.7%)

rewrite333.0ms (5%)

eval63.0ms (1%)

prune9.0ms (0.1%)

simplify240.0ms (3.6%)

localize137.0ms (2.1%)

series45.0ms (0.7%)

simplify276.0ms (4.2%)

rewrite457.0ms (6.9%)

eval122.0ms (1.8%)

prune141.0ms (2.1%)

simplify284.0ms (4.3%)

localize108.0ms (1.6%)

series14.0ms (0.2%)

simplify178.0ms (2.7%)

rewrite54.0ms (0.8%)

eval188.0ms (2.8%)

prune28.0ms (0.4%)

regimes118.0ms (1.8%)

regimes16.0ms (0.2%)

regimes15.0ms (0.2%)

regimes4.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify69.0ms (1%)

soundness1.7s (26.4%)

preprocess46.0ms (0.7%)

end0.0ms (0%)

Profiling