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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample751.0ms (12%)

Memory

12.4MiB live, 1 019.0MiB allocated

Samples

504.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 313.0ms

ival-add: 179.0ms (57.2% of total)

ival-mult: 124.0ms (39.6% of total)

ival-true: 7.0ms (2.2% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain265.0ms (4.3%)

Memory

18.9MiB live, 150.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
4	-	-	`(+.f64 (.f64 x y) (.f64 z z))`
2	-	-	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
2	-	-	`(+.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	4	0
↳	`(*.f64 x y)`	overflow	37
↳	`(*.f64 z z)`	overflow	62
`+.f64`	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`	nan-rescue	2	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	overflow	92
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	92
↳	`(*.f64 x y)`	overflow	37
↳	`(*.f64 z z)`	overflow	124
↳	`(*.f64 z z)`	overflow	62
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	2	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	92
↳	`(*.f64 x y)`	overflow	37
↳	`(*.f64 z z)`	overflow	62
↳	`(*.f64 z z)`	overflow	62

Confusion

	Predicted +	Predicted -
+	4	0
-	0	252

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	0
-	0	0	252

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	252
1	2
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 145 to 36 computations (75.2% saved)

Precisions

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

ival-mult: 7.0ms (51% of total)

ival-add: 6.0ms (43.7% of total)

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

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

preprocess80.0ms (1.3%)

Memory

-27.4MiB live, 55.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(sort x y)

Compiler

Compiled 15 to 8 computations (46.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.3%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify4.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.3%)

Memory

1.1MiB live, 39.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.5078083716604116	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
accuracy	0.5820271216604116	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
accuracy	0.9062458716604117	(+.f64 (.f64 x y) (.f64 z z))

Samples

16.0ms

256×

valid

Compiler

Compiled 86 to 18 computations (79.1% saved)

Precisions

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

ival-add: 3.0ms (44.8% of total)

ival-mult: 3.0ms (44.8% of total)

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

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

series7.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB 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))

simplify163.0ms (2.6%)

Memory

10.6MiB live, 85.6MiB 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))

rewrite384.0ms (6.2%)

Memory

-13.8MiB live, 216.9MiB 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 (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)

eval181.0ms (2.9%)

Memory: 6.8MiB live, 44.6MiB allocated
Compiler: Compiled 10 015 to 1 015 computations (89.9% saved)

prune11.0ms (0.2%)

Memory

20.8MiB live, 20.8MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

100.0%

Counts

332 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
▶	99.1%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	98.2%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 y x)))) (.f64 z z)) (*.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)))
▶	50.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))

Compiler

Compiled 164 to 102 computations (37.8% saved)

simplify64.0ms (1%)

Memory

-26.1MiB live, 11.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))
cost-diff	192	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 y x)))) (.f64 z z))
cost-diff	512	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 y x)))) (.f64 z z)) (*.f64 z z))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))))
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)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(*.f64 #s(literal 3 binary64) z)
cost-diff	0	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 z z) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 z z (*.f64 y x))
cost-diff	0	(*.f64 #s(literal 2 binary64) z)
cost-diff	384	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	186
0	45	175
1	75	150
2	101	150
3	121	150
4	133	150
5	142	150
6	143	150
0	143	149

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize97.0ms (1.5%)

Memory

-9.8MiB live, 96.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.5039007452111204	(fma.f64 z z (*.f64 y x))
accuracy	0.5078083716604116	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 y x)))) (.f64 z z))
accuracy	0.5820271216604116	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 y x)))) (.f64 z z)) (*.f64 z z))
accuracy	0.679494982191878	(/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))
accuracy	0.0	(*.f64 z z)
accuracy	0.1640625	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	0.49999449521112044	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
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	0.5664007452111204	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
accuracy	0.0	(*.f64 z z)
accuracy	0.1640625	(.f64 (.f64 z z) #s(literal 3 binary64))
accuracy	31.564642761142807	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(*.f64 #s(literal 2 binary64) z)
accuracy	0.046875	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
accuracy	0.5039007452111204	(fma.f64 z z (*.f64 y x))

Samples

60.0ms

256×

valid

Compiler

Compiled 369 to 55 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 29.0ms (67.2% of total)

ival-add: 10.0ms (23.2% of total)

ival-div: 3.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.3%)

Memory

-1.3MiB live, 33.0MiB allocated

Counts

16 → 55

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	z	@	inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (+ (* z z) (* y x))))
2.0ms	z	@	-inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (+ (* z z) (* y x))))
1.0ms	z	@	0	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (+ (* z z) (* y x))))
1.0ms	x	@	-inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (+ (* z z) (* y x))))
1.0ms	y	@	-inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (+ (* z z) (* y x))))

simplify210.0ms (3.4%)

Memory

-5.8MiB live, 195.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	251	923
1	784	887
2	2365	861
0	8111	827

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 55

Calls

Call 1

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

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

rewrite326.0ms (5.2%)

Memory

26.1MiB live, 231.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	150
0	45	139
1	203	114
2	1435	114
0	8091	113

Stop Event

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

Counts

16 → 1 148

Calls

Call 1

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

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

eval102.0ms (1.6%)

Memory: -38.6MiB live, 126.1MiB allocated
Compiler: Compiled 18 767 to 1 864 computations (90.1% saved)

prune14.0ms (0.2%)

Memory

22.7MiB live, 22.7MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	565	4	569
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	567	7	574

Accuracy

100.0%

Counts

574 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	50.6%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* y x)) (.f64 z z)))) (.f64 z z)) (*.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)))
▶	50.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
✓	50.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	50.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
▶	95.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)))

Compiler

Compiled 157 to 89 computations (43.3% saved)

simplify144.0ms (2.3%)

Memory

3.8MiB live, 159.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
cost-diff	128	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* y x)) (.f64 z z)))) (.f64 z z))
cost-diff	192	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* y x)) (.f64 z z)))) (.f64 z z)) (*.f64 z z))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* y x)) (*.f64 z z))))
cost-diff	-128	(+.f64 z z)
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
cost-diff	384	(fma.f64 z (+.f64 z z) (*.f64 z z))
cost-diff	0	(*.f64 #s(literal 3 binary64) z)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) z) z)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
cost-diff	0	(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
cost-diff	0	#s(approx (+ (* (* 3 z) z) (* y x)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)))
cost-diff	704	(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	242
0	49	216
1	85	204
2	112	204
3	148	204
4	235	201
5	338	201
6	691	201
7	1190	201
8	2853	201
9	5198	201
10	5848	201
11	6289	201
12	6874	201
13	7198	201
0	8601	186

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)))
#s(approx (+ (* (* 3 z) z) (* y x)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
(/.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(literal 3 binary64)
x
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
(.f64 (.f64 #s(literal 3 binary64) z) z)
(*.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
z
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
(fma.f64 z (+.f64 z z) (*.f64 z z))
z
(+.f64 z z)
(*.f64 z z)
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* y x)) (.f64 z z)))) (.f64 z z)) (*.f64 z z))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* y x)) (.f64 z z)))) (.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* y x)) (*.f64 z z))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
#s(approx (+ (* z z) (* y x)) (*.f64 z z))
(*.f64 z z)
z

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

localize265.0ms (4.3%)

Memory

22.1MiB live, 131.9MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.5078083716604116	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* y x)) (.f64 z z)))) (.f64 z z))
accuracy	0.5820271216604116	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* y x)) (.f64 z z)))) (.f64 z z)) (*.f64 z z))
accuracy	0.679494982191878	(/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
accuracy	31.58217691543271	#s(approx (+ (* z z) (* y x)) (*.f64 z z))
accuracy	0.0	(+.f64 z z)
accuracy	0.0	(*.f64 z z)
accuracy	0.0703125	(fma.f64 z (+.f64 z z) (*.f64 z z))
accuracy	31.564642761142807	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
accuracy	0.0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.140625	(.f64 (.f64 #s(literal 3 binary64) z) z)
accuracy	31.564642761142807	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
accuracy	0.0	#s(approx (+ (* (* 3 z) z) (* y x)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
accuracy	0.08984375	(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
accuracy	2.6284940218809343	(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
accuracy	10.356148880542003	(/.f64 (*.f64 z z) y)

Samples

247.0ms

256×

valid

Compiler

Compiled 422 to 61 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 12.0ms (43.8% of total)

ival-add: 11.0ms (40.1% of total)

ival-div: 5.0ms (18.2% of total)

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.7%)

Memory

-23.2MiB live, 24.7MiB allocated

Counts

17 → 63

Calls

Call 1

Inputs
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)))
#s(approx (+ (* (* 3 z) z) (* y x)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
(.f64 (.f64 #s(literal 3 binary64) z) z)
(*.f64 #s(literal 3 binary64) z)
(fma.f64 z (+.f64 z z) (*.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
(*.f64 z z)
(+.f64 z z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* y x)) (*.f64 z z))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* y x)) (.f64 z z)))) (.f64 z z)) (*.f64 z z))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* y x)) (.f64 z z)))) (.f64 z z))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
(/.f64 (*.f64 z z) y)
#s(approx (+ (* z z) (* y x)) (*.f64 z z))

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

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	x	@	0	((* (+ (* (/ (* z z) y) 3) x) y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (+ (* (/ (* z z) y) 3) x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (+ (* z z) (* y x))) (/ (* z z) y) (+ (* z z) (* y x)))
2.0ms	z	@	inf	((* (+ (* (/ (* z z) y) 3) x) y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (+ (* (/ (* z z) y) 3) x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (+ (* z z) (* y x))) (/ (* z z) y) (+ (* z z) (* y x)))
2.0ms	z	@	-inf	((* (+ (* (/ (* z z) y) 3) x) y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (+ (* (/ (* z z) y) 3) x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (+ (* z z) (* y x))) (/ (* z z) y) (+ (* z z) (* y x)))
2.0ms	z	@	0	((* (+ (* (/ (* z z) y) 3) x) y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (+ (* (/ (* z z) y) 3) x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (+ (* z z) (* y x))) (/ (* z z) y) (+ (* z z) (* y x)))
2.0ms	y	@	-inf	((* (+ (* (/ (* z z) y) 3) x) y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (+ (* (/ (* z z) y) 3) x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (+ (* z z) (* y x))) (/ (* z z) y) (+ (* z z) (* y x)))

simplify195.0ms (3.1%)

Memory

16.6MiB live, 173.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	264	988
1	827	960
2	2483	936
0	8026	898

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 62

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

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

rewrite397.0ms (6.4%)

Memory

-3.7MiB live, 199.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	227
0	49	201
1	215	187
2	1718	187
0	8130	175

Stop Event

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

Counts

17 → 728

Calls

Call 1

Inputs
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)))
#s(approx (+ (* (* 3 z) z) (* y x)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
(.f64 (.f64 #s(literal 3 binary64) z) z)
(*.f64 #s(literal 3 binary64) z)
(fma.f64 z (+.f64 z z) (*.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
(*.f64 z z)
(+.f64 z z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* y x)) (*.f64 z z))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* y x)) (.f64 z z)))) (.f64 z z)) (*.f64 z z))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* y x)) (.f64 z z)))) (.f64 z z))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
(/.f64 (*.f64 z z) y)
#s(approx (+ (* z z) (* y x)) (*.f64 z z))

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

eval146.0ms (2.3%)

Memory: 3.7MiB live, 121.9MiB allocated
Compiler: Compiled 25 445 to 2 583 computations (89.8% saved)

prune19.0ms (0.3%)

Memory

-17.4MiB live, 55.6MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	708	2	710
Fresh	0	0	0
Picked	0	4	4
Done	1	2	3
Total	709	8	717

Accuracy

100.0%

Counts

717 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	50.6%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* y x)) (.f64 z z)))) (.f64 z z)) (*.f64 z z))
✓	50.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
✓	50.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	50.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	95.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)))
▶	94.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) (.f64 (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x) y)))
▶	54.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) #s(approx (* (+ (* (/ (* z z) y) 3) x) y) (*.f64 x y))))

Compiler

Compiled 210 to 117 computations (44.3% saved)

simplify188.0ms (3%)

Memory

5.0MiB live, 251.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	170
0	33	167
1	57	163
2	82	155
3	132	155
4	219	149
5	264	149
6	545	149
7	1282	149
8	2569	149
9	4461	149
10	4677	149
11	4775	149
12	4783	149
13	4783	149
0	9698	137

Stop Event

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

Calls

Call 1

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

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

localize159.0ms (2.5%)

Memory

-6.5MiB live, 69.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) (.f64 (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x) y)))
accuracy	0.0	#s(approx (+ (* (* 3 z) z) (* y x)) (.f64 (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x) y))
accuracy	2.6284940218809343	(.f64 (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x) y)
accuracy	5.737493192482004	(fma.f64 (*.f64 z z) (/.f64 #s(literal 3 binary64) y) x)
accuracy	0.0	(*.f64 x y)
accuracy	0.0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) #s(approx (* (+ (* (/ (* z z) y) 3) x) y) (*.f64 x y))))
accuracy	0.0	#s(approx (+ (* (* 3 z) z) (* y x)) #s(approx (* (+ (* (/ (* z z) y) 3) x) y) (*.f64 x y)))
accuracy	29.312759030617404	#s(approx (* (+ (* (/ (* z z) y) 3) x) y) (*.f64 x y))

Samples

60.0ms

256×

valid

Compiler

Compiled 266 to 51 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 40.0ms (79.6% of total)

ival-add: 6.0ms (11.9% of total)

ival-div: 3.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated

Counts

8 → 21

Calls

Call 1

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

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

Calls

9 calls:

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

simplify379.0ms (6.1%)

Memory

-21.4MiB live, 67.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	211
1	227	167
2	716	167
3	2740	167
4	7604	167
0	8150	151

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 20

Calls

Call 1

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

rewrite270.0ms (4.3%)

Memory

10.9MiB live, 204.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	158
0	33	155
1	147	151
2	1011	143
0	8354	137

Stop Event

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

Counts

8 → 95

Calls

Call 1

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

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

eval26.0ms (0.4%)

Memory: -15.8MiB live, 21.6MiB allocated
Compiler: Compiled 5 322 to 509 computations (90.4% saved)

prune8.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	103	8	111

Accuracy

100.0%

Counts

111 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	50.6%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* y x)) (.f64 z z)))) (.f64 z z)) (*.f64 z z))
✓	50.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
✓	50.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	50.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	95.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)))
✓	94.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) (.f64 (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x) y)))
✓	54.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) #s(approx (* (+ (* (/ (* z z) y) 3) x) y) (*.f64 x y))))

Compiler

Compiled 488 to 181 computations (62.9% saved)

regimes26.0ms (0.4%)

Memory

12.1MiB live, 49.2MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

6 calls:

7.0ms	(*.f64 x y)
4.0ms	x
4.0ms	y
4.0ms	z
4.0ms	(+.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)

regimes19.0ms (0.3%)

Memory

-8.5MiB live, 37.1MiB allocated

Counts

6 → 1

Calls

Call 1

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

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:

7.0ms	(*.f64 z z)
3.0ms	x
2.0ms	y
2.0ms	(*.f64 x y)
2.0ms	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)

regimes14.0ms (0.2%)

Memory

-10.7MiB live, 27.4MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
73.1%	3	`x`
69.0%	5	`y`
84.6%	2	`z`
76.2%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
70.3%	3	`(*.f64 x y)`
84.6%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes7.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) #s(approx (* (+ (* (/ (* z z) y) 3) x) y) (*.f64 x y))))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
54.2%	1	`y`
54.2%	1	`(*.f64 x y)`
54.2%	1	`x`
54.2%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
54.2%	1	`z`
54.2%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.0424729833233105e-26	2.494432847924233e-25

Compiler

Compiled 14 to 14 computations (0% saved)

simplify75.0ms (1.2%)

Memory

-12.1MiB live, 64.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	144
1	54	136
2	76	128
3	120	128
4	194	128
5	227	124
6	243	124
7	572	124
8	1559	124
9	2926	124
10	3936	124
11	4558	124
12	5574	124

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(if (<=.f64 (.f64 z z) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) #s(approx (* (+ (* (/ (* z z) y) 3) x) y) (.f64 x y)))) #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)) #s(approx (+ (* (* 3 z) z) (* y x)) #s(approx (* (+ (* (/ (* z z) y) 3) x) y) (*.f64 x y))))

Outputs
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(if (<=.f64 (.f64 z z) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) #s(approx (* (+ (* (/ (* z z) y) 3) x) y) (.f64 x y)))) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 (.f64 z z) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) #s(approx (+ (* (* 3 z) z) (* y x)) (.f64 x y)))) #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)) #s(approx (+ (* (* 3 z) z) (* y x)) #s(approx (* (+ (* (/ (* z z) y) 3) x) y) (*.f64 x y))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) #s(approx (+ (* (* 3 z) z) (* y x)) (*.f64 x y))))

soundness1.1s (17.3%)

Memory

-18.4MiB live, 584.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	264	988
1	827	960
2	2483	936
0	8026	898
0	70	208
1	244	180
2	776	180
3	2210	180
4	6662	180
0	8142	161
0	251	923
1	784	887
2	2365	861
0	8111	827
0	8	36
0	13	36
1	55	32
2	517	26
3	7658	26
0	8262	23
0	27	150
0	45	139
1	203	114
2	1435	114
0	8091	113

Stop Event

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

Compiler

Compiled 239 to 99 computations (58.6% saved)

preprocess76.0ms (1.2%)

Memory

9.0MiB live, 47.1MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 416 to 160 computations (61.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	27	186
0	45	175
1	75	150
2	101	150
3	121	150
4	133	150
5	142	150
6	143	150
0	143	149

Iter	Nodes	Cost
0	27	186
0	45	175
1	75	150
2	101	150
3	121	150
4	133	150
5	142	150
6	143	150
0	143	149

start0.0ms (0%)

analyze0.0ms (0%)

sample751.0ms (12%)

explain265.0ms (4.3%)

preprocess80.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize22.0ms (0.3%)

series7.0ms (0.1%)

simplify163.0ms (2.6%)

rewrite384.0ms (6.2%)

eval181.0ms (2.9%)

prune11.0ms (0.2%)

simplify64.0ms (1%)

localize97.0ms (1.5%)

series19.0ms (0.3%)

simplify210.0ms (3.4%)

rewrite326.0ms (5.2%)

eval102.0ms (1.6%)

prune14.0ms (0.2%)

simplify144.0ms (2.3%)

localize265.0ms (4.3%)

series42.0ms (0.7%)

simplify195.0ms (3.1%)

rewrite397.0ms (6.4%)

eval146.0ms (2.3%)

prune19.0ms (0.3%)

simplify188.0ms (3%)

localize159.0ms (2.5%)

series8.0ms (0.1%)

simplify379.0ms (6.1%)

rewrite270.0ms (4.3%)

eval26.0ms (0.4%)

prune8.0ms (0.1%)

regimes26.0ms (0.4%)

regimes19.0ms (0.3%)

regimes14.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

simplify75.0ms (1.2%)

soundness1.1s (17.3%)

preprocess76.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	27	186
0	45	175
1	75	150
2	101	150
3	121	150
4	133	150
5	142	150
6	143	150
0	143	149