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)

sample1.7s (26.4%)

Memory

15.7MiB live, 817.1MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 355.0ms

ival-mult: 194.0ms (54.7% of total)

ival-add: 152.0ms (42.8% of total)

ival-true: 6.0ms (1.7% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain126.0ms (2%)

Memory

9.9MiB live, 249.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
2	-	-	`(+.f64 (.f64 x y) (.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 (+.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	89
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	88
↳	`(*.f64 x y)`	overflow	29
↳	`(*.f64 z z)`	overflow	128
↳	`(*.f64 z z)`	overflow	64
`+.f64`	`(+.f64 (.f64 x y) (.f64 z z))`	nan-rescue	2	0
↳	`(*.f64 x y)`	overflow	29
↳	`(*.f64 z z)`	overflow	64
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	2	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	88
↳	`(*.f64 x y)`	overflow	29
↳	`(*.f64 z z)`	overflow	64
↳	`(*.f64 z z)`	overflow	64

Confusion

	Predicted +	Predicted -
+	2	0
-	0	254

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	0	0	254

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	254
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 187 to 44 computations (76.5% saved)

Precisions

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

ival-mult: 7.0ms (49.9% of total)

ival-add: 6.0ms (42.7% of total)

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

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

preprocess68.0ms (1.1%)

Memory

-11.5MiB live, 25.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	142
1	104	120
2	235	82
3	602	81
4	1131	81
5	1497	81
6	2068	81
7	2586	81
8	2644	81
9	2644	81
0	8	15
0	13	15
1	20	13
2	30	9
3	42	9
4	50	9
5	53	9
0	53	8

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(sort x y)

Compiler

Compiled 15 to 8 computations (46.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify4.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB 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

localize25.0ms (0.4%)

Memory

-9.5MiB live, 26.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.49999587166041165	(+.f64 (.f64 x y) (.f64 z z))
accuracy	0.5156208716604116	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
accuracy	0.5585896216604116	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Samples

20.0ms

256×

valid

Compiler

Compiled 86 to 18 computations (79.1% saved)

Precisions

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

ival-mult: 8.0ms (68% of total)

ival-add: 3.0ms (25.5% 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	y	@	-inf	((+ (+ (+ (* 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	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y))

simplify120.0ms (1.9%)

Memory

-7.4MiB live, 105.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	208
1	244	180
2	752	180
3	2132	180
4	5815	180
0	8129	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 #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 y x))
(* 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 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 z z) #s(literal 2 binary64) (.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 z z) #s(literal 2 binary64) (.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 z z) #s(literal 2 binary64) (.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 z z) #s(literal 2 binary64) (.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 #s(literal 3 binary64) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))

rewrite204.0ms (3.2%)

Memory

37.4MiB live, 274.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	23

Stop Event

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

Counts

4 → 324

Calls

Call 1

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

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

eval30.0ms (0.5%)

Memory: -13.1MiB live, 72.4MiB allocated
Compiler: Compiled 10 015 to 1 014 computations (89.9% saved)

prune9.0ms (0.1%)

Memory

-14.0MiB live, 25.0MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	324	7	331
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	325	7	332

Accuracy

100.0%

Counts

332 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.0%	(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)))
▶	100.0%	(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)))
	33.8%	(+.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 y x))) (.f64 z z)) (*.f64 z z))
▶	34.4%	(+.f64 (+.f64 (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))))) (.f64 z z)) (.f64 z z))
▶	99.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
▶	55.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Compiler

Compiled 288 to 176 computations (38.9% saved)

simplify173.0ms (2.7%)

Memory

26.6MiB live, 65.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	275
0	59	279
1	107	256
2	184	252
3	370	252
4	746	252
5	1718	252
6	3004	237
7	3858	237
8	3953	237
9	3962	237
10	3963	237
11	3963	231
12	4229	231
13	4373	231
14	4375	231
15	4375	231
16	4375	231
17	4376	231
0	4376	229

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

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

localize99.0ms (1.6%)

Memory

-13.8MiB live, 138.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	7.138582157988097	(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)))))
accuracy	7.258095511750117	(.f64 (.f64 y y) x)
accuracy	10.469189995293114	(/.f64 x (fma.f64 (neg.f64 z) z (*.f64 y x)))
accuracy	28.552231206471387	(/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))
accuracy	0	(*.f64 z z)
accuracy	0.15625	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	0.5039007452111204	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
accuracy	0	(*.f64 y x)
accuracy	0	(*.f64 #s(literal 3 binary64) z)
accuracy	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
accuracy	0.06640625	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
accuracy	0	(*.f64 z z)
accuracy	0.15625	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	28.580725688175647	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
accuracy	0	(fma.f64 z z (*.f64 y x))
accuracy	0	(*.f64 y x)
accuracy	0	(*.f64 #s(literal 2 binary64) z)
accuracy	0.0234375	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))

Samples

73.0ms

256×

valid

Compiler

Compiled 555 to 69 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 24.0ms (54.6% of total)

ival-add: 11.0ms (25% of total)

ival-div: 3.0ms (6.8% of total)

ival-pow: 3.0ms (6.8% of total)

ival-neg: 2.0ms (4.6% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.6%)

Memory

11.6MiB live, 56.0MiB allocated

Counts

18 → 132

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	y	@	0	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* y x) (* 3 (* z z))) (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x)))) (/ (pow z 4) (+ (* (neg z) z) (* y x))) (/ x (+ (* (neg z) z) (* y x))) (* (* y y) x))
5.0ms	z	@	0	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* y x) (* 3 (* z z))) (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x)))) (/ (pow z 4) (+ (* (neg z) z) (* y x))) (/ x (+ (* (neg z) z) (* y x))) (* (* y y) x))
4.0ms	x	@	inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* y x) (* 3 (* z z))) (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x)))) (/ (pow z 4) (+ (* (neg z) z) (* y x))) (/ x (+ (* (neg z) z) (* y x))) (* (* y y) x))
4.0ms	y	@	inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* y x) (* 3 (* z z))) (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x)))) (/ (pow z 4) (+ (* (neg z) z) (* y x))) (/ x (+ (* (neg z) z) (* y x))) (* (* y y) x))
3.0ms	z	@	inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* y x) (* 3 (* z z))) (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x)))) (/ (pow z 4) (+ (* (neg z) z) (* y x))) (/ x (+ (* (neg z) z) (* y x))) (* (* y y) x))

simplify214.0ms (3.4%)

Memory

14.4MiB live, 127.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	593	2584
1	2017	2457
2	6355	2414
0	8504	2307

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

rewrite362.0ms (5.7%)

Memory

-42.8MiB live, 372.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	225
0	59	184
1	262	138
2	2286	138
0	9586	137

Stop Event

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

Counts

18 → 1 695

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

eval120.0ms (1.9%)

Memory: 32.2MiB live, 178.5MiB allocated
Compiler: Compiled 43 097 to 3 127 computations (92.7% saved)

prune21.0ms (0.3%)

Memory

-16.8MiB live, 60.0MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	839	4	843
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	843	7	850

Accuracy

100.0%

Counts

850 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.0%	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z x) y) x)))
✓	99.1%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	92.1%	#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x))
✓	99.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
▶	55.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
▶	55.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	55.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Compiler

Compiled 168 to 94 computations (44% saved)

simplify290.0ms (4.6%)

Memory

1.6MiB live, 139.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z x) y) x))
cost-diff	0	(*.f64 #s(literal 2 binary64) z)
cost-diff	0	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z x) y) x)))
cost-diff	704	(*.f64 (fma.f64 z (/.f64 z x) y) x)
cost-diff	0	(/.f64 (*.f64 z z) x)
cost-diff	0	(fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y)
cost-diff	0	#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x))
cost-diff	704	(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
cost-diff	-128	(+.f64 z z)
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
cost-diff	384	(fma.f64 z (+.f64 z z) (*.f64 z z))
cost-diff	0	(*.f64 #s(literal 3 binary64) z)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) z) z)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	210
0	61	197
1	119	187
2	213	187
3	446	187
4	993	182
5	2813	182
6	5715	176
7	7410	176
0	8091	166

Stop Event

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

Calls

Call 1

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

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

localize210.0ms (3.3%)

Memory

-9.6MiB live, 111.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z x) y) x))
accuracy	0.0234375	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z x) y) x)))
accuracy	0.0625	(fma.f64 z (/.f64 z x) y)
accuracy	4.724791479653444	(*.f64 (fma.f64 z (/.f64 z x) y) x)
accuracy	0	#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x))
accuracy	0.07421875	(fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y)
accuracy	4.528222112628478	(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
accuracy	7.505230912187005	(/.f64 (*.f64 z z) x)
accuracy	0	(+.f64 z z)
accuracy	0	(*.f64 z z)
accuracy	0.0625	(fma.f64 z (+.f64 z z) (*.f64 z z))
accuracy	28.580725688175647	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
accuracy	0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.10546875	(.f64 (.f64 #s(literal 3 binary64) z) z)
accuracy	28.580725688175647	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Samples

149.0ms

256×

valid

Compiler

Compiled 384 to 87 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-div: 32.0ms (43.3% of total)

ival-mult: 23.0ms (31.1% of total)

ival-add: 13.0ms (17.6% of total)

ival-pow: 3.0ms (4.1% of total)

ival-neg: 2.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.5%)

Memory

-6.5MiB live, 29.1MiB allocated

Counts

16 → 49

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	z	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* (/ (* z z) x) 3) y) x) (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (* (/ (* z z) x) 3) y) (/ (* z z) x) (* (+ (* z (/ z x)) y) x) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* z (/ z x)) y))
3.0ms	z	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* (/ (* z z) x) 3) y) x) (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (* (/ (* z z) x) 3) y) (/ (* z z) x) (* (+ (* z (/ z x)) y) x) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* z (/ z x)) y))
2.0ms	z	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* (/ (* z z) x) 3) y) x) (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (* (/ (* z z) x) 3) y) (/ (* z z) x) (* (+ (* z (/ z x)) y) x) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* z (/ z x)) y))
2.0ms	x	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* (/ (* z z) x) 3) y) x) (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (* (/ (* z z) x) 3) y) (/ (* z z) x) (* (+ (* z (/ z x)) y) x) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* z (/ z x)) y))
2.0ms	x	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* (/ (* z z) x) 3) y) x) (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (+ (* (/ (* z z) x) 3) y) (/ (* z z) x) (* (+ (* z (/ z x)) y) x) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* z (/ z x)) y))

simplify130.0ms (2.1%)

Memory

24.9MiB live, 144.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	465
1	616	373
2	1863	373
3	5966	373
0	8351	334

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

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

rewrite351.0ms (5.5%)

Memory

-20.3MiB live, 334.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	193
0	61	180
1	297	145
2	2639	145
0	9269	139

Stop Event

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

Counts

16 → 542

Calls

Call 1

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

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

eval87.0ms (1.4%)

Memory: 20.4MiB live, 104.8MiB allocated
Compiler: Compiled 16 196 to 1 490 computations (90.8% saved)

prune169.0ms (2.7%)

Memory

-12.7MiB live, 22.9MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	423	2	425
Fresh	0	0	0
Picked	2	2	4
Done	1	2	3
Total	426	6	432

Accuracy

100.0%

Counts

432 → 6

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)))
▶	92.9%	#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x))
✓	55.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
✓	55.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
▶	51.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
✓	55.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Compiler

Compiled 142 to 78 computations (45.1% saved)

simplify150.0ms (2.4%)

Memory

10.3MiB live, 132.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (/.f64 z x) z)
cost-diff	0	(fma.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64) y)
cost-diff	0	#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x))
cost-diff	704	(.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x)
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	103
0	37	102
1	80	96
2	170	92
3	389	92
4	852	90
5	2318	90
6	4410	84
7	6000	84
8	7332	84
9	7994	84
0	8001	80

Stop Event

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

Calls

Call 1

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

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

localize79.0ms (1.2%)

Memory

-9.8MiB live, 28.9MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x))
accuracy	0.07421875	(fma.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64) y)
accuracy	0.13671875	(*.f64 (/.f64 z x) z)
accuracy	4.528222112628478	(.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x)
accuracy	0	(*.f64 y x)
accuracy	31.32128260746366	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Samples

66.0ms

256×

valid

Compiler

Compiled 195 to 62 computations (68.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 38.0ms (67.8% of total)

ival-add: 8.0ms (14.3% of total)

ival-div: 5.0ms (8.9% of total)

ival-pow: 3.0ms (5.4% of total)

ival-neg: 2.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

6 → 35

Calls

Call 1

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

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

Calls

9 calls:

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

simplify125.0ms (2%)

Memory

-15.4MiB live, 142.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	377
1	532	285
2	1612	285
3	6527	285
0	8447	257

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 34

Calls

Call 1

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

rewrite210.0ms (3.3%)

Memory

20.0MiB live, 295.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	94
0	37	93
1	201	67
2	1868	67
0	8303	63

Stop Event

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

Counts

6 → 70

Calls

Call 1

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

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

eval11.0ms (0.2%)

Memory: -24.3MiB live, 51.4MiB allocated
Compiler: Compiled 4 548 to 332 computations (92.7% saved)

prune8.0ms (0.1%)

Memory

-3.7MiB live, 35.3MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	81	6	87

Accuracy

100.0%

Counts

87 → 6

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)))
✓	92.9%	#s(approx (+ (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (* z z)) (.f64 (fma.f64 (.f64 (/.f64 z x) z) #s(literal 3 binary64) y) x))
✓	55.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
✓	55.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	51.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
✓	55.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Compiler

Compiled 484 to 164 computations (66.1% saved)

regimes59.0ms (0.9%)

Memory

13.5MiB live, 60.3MiB allocated

Counts

14 → 1

Calls

Call 1

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

36.0ms	z
5.0ms	x
5.0ms	y
4.0ms	(*.f64 x y)
4.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

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

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes25.0ms (0.4%)

Memory

7.2MiB live, 43.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

12.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
3.0ms	x
3.0ms	y
3.0ms	z
3.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.9%	1	`(*.f64 x y)`
99.9%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes17.0ms (0.3%)

Memory

-20.7MiB live, 55.8MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	(*.f64 x y)
3.0ms	x
2.0ms	y
2.0ms	z
2.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

Accuracy	Segments	Branch
71.4%	3	`x`
73.3%	3	`y`
90.4%	2	`z`
78.6%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
77.1%	3	`(*.f64 x y)`
90.4%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes4.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
90.3%	2	`z`
90.3%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes8.0ms (0.1%)

Memory

26.8MiB live, 26.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
51.1%	1	`x`
51.1%	1	`y`
51.1%	1	`(*.f64 x y)`
51.1%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
51.1%	1	`z`
51.1%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

bsearch2.0ms (0%)

Memory

-46.0MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
2.0ms	7.039940957146637e-50	1.1353617715370907e-38

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.039940957146637e-50	1.1353617715370907e-38

Compiler

Compiled 14 to 14 computations (0% saved)

simplify93.0ms (1.5%)

Memory

4.1MiB live, 43.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	149
1	32	149

Stop Event

1×

saturated

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 5265614583427859/52656145834278593348959013841835216159447547700274555627155488768 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 5265614583427859/52656145834278593348959013841835216159447547700274555627155488768 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Outputs
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
(fma.f64 (.f64 z #s(literal 2 binary64)) z (fma.f64 z z (.f64 x y)))
#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)))
(if (<=.f64 (.f64 z z) #s(literal 5265614583427859/52656145834278593348959013841835216159447547700274555627155488768 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 5265614583427859/52656145834278593348959013841835216159447547700274555627155488768 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 5265614583427859/52656145834278593348959013841835216159447547700274555627155488768 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 5265614583427859/52656145834278593348959013841835216159447547700274555627155488768 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #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 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))

soundness923.0ms (14.5%)

Memory

5.0MiB live, 456.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	465
1	616	373
2	1863	373
3	5966	373
0	8351	334
0	70	208
1	244	180
2	752	180
3	2132	180
4	5815	180
0	8129	161
0	8	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	23
0	33	225
0	59	184
1	262	138
2	2286	138
0	9586	137

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

Compiler

Compiled 324 to 141 computations (56.5% saved)

preprocess47.0ms (0.7%)

Memory

22.0MiB live, 98.8MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 522 to 216 computations (58.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.7s (26.4%)

explain126.0ms (2%)

preprocess68.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize25.0ms (0.4%)

series7.0ms (0.1%)

simplify120.0ms (1.9%)

rewrite204.0ms (3.2%)

eval30.0ms (0.5%)

prune9.0ms (0.1%)

simplify173.0ms (2.7%)

localize99.0ms (1.6%)

series39.0ms (0.6%)

simplify214.0ms (3.4%)

rewrite362.0ms (5.7%)

eval120.0ms (1.9%)

prune21.0ms (0.3%)

simplify290.0ms (4.6%)

localize210.0ms (3.3%)

series34.0ms (0.5%)

simplify130.0ms (2.1%)

rewrite351.0ms (5.5%)

eval87.0ms (1.4%)

prune169.0ms (2.7%)

simplify150.0ms (2.4%)

localize79.0ms (1.2%)

series11.0ms (0.2%)

simplify125.0ms (2%)

rewrite210.0ms (3.3%)

eval11.0ms (0.2%)

prune8.0ms (0.1%)

regimes59.0ms (0.9%)

regimes25.0ms (0.4%)

regimes17.0ms (0.3%)

regimes4.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

simplify93.0ms (1.5%)

soundness923.0ms (14.5%)

preprocess47.0ms (0.7%)

end0.0ms (0%)

Profiling