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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 17 to 10 computations (41.2% saved)

sample845.0ms (15.6%)

Memory

16.3MiB live, 1 009.3MiB allocated

Samples

592.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 242.0ms

ival-mult: 119.0ms (49.2% of total)

ival-add: 114.0ms (47.2% of total)

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

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

Bogosity

explain182.0ms (3.4%)

Memory

4.3MiB live, 201.8MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 z z))`	nan-rescue	5	0
↳	`(*.f64 x y)`	overflow	23
↳	`(*.f64 z z)`	overflow	69
`+.f64`	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`	nan-rescue	3	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	overflow	84
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	84
↳	`(*.f64 x y)`	overflow	23
↳	`(*.f64 z z)`	overflow	138
↳	`(*.f64 z z)`	overflow	69
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	3	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	84
↳	`(*.f64 x y)`	overflow	23
↳	`(*.f64 z z)`	overflow	69
↳	`(*.f64 z z)`	overflow	69

Confusion

	Predicted +	Predicted -
+	5	0
-	0	251

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5	0	0
-	0	0	251

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	251
1	2
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms

512×

valid

Compiler

Compiled 103 to 28 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 25.0ms (80% of total)

ival-add: 6.0ms (19.2% of total)

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

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

preprocess73.0ms (1.3%)

Memory

-24.4MiB live, 62.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(sort x y)

Compiler

Compiled 15 to 8 computations (46.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(+.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

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.4%)

Memory

2.5MiB live, 41.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.7578063074906174	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
accuracy	0.8515563074906174	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
accuracy	1.1663413172590595	(+.f64 (.f64 x y) (.f64 z z))

Samples

16.0ms

256×

valid

Compiler

Compiled 44 to 10 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (47.1% of total)

ival-mult: 3.0ms (47.1% of total)

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

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

series7.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

4 → 24

Calls

Call 1

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

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

Calls

9 calls:

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

simplify109.0ms (2%)

Memory

3.6MiB live, 121.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

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

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

rewrite416.0ms (7.7%)

Memory

12.0MiB live, 278.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 324

Calls

Call 1

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

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

eval34.0ms (0.6%)

Memory: -40.8MiB live, 87.0MiB allocated
Compiler: Compiled 10 015 to 1 015 computations (89.9% saved)

prune7.0ms (0.1%)

Memory

25.2MiB live, 25.2MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

100.0%

Counts

332 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
▶	98.7%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	97.9%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
▶	99.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
▶	54.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))

Compiler

Compiled 144 to 94 computations (34.7% saved)

simplify5.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	138
0	38	145
1	59	121
2	72	121
3	80	121
0	80	121

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize241.0ms (4.5%)

Memory

-8.1MiB live, 77.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z z)
accuracy	0.1953125	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	0.7578042428166806	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
accuracy	0.0	(*.f64 z z)
accuracy	0.0	(*.f64 y x)
accuracy	1.2148375574906176	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
accuracy	0.5742132452111204	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
accuracy	0.0	(*.f64 z z)
accuracy	0.1953125	(.f64 (.f64 z z) #s(literal 3 binary64))
accuracy	29.198531842408453	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(*.f64 #s(literal 2 binary64) z)
accuracy	0.03125	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
accuracy	0.5139982549795624	(fma.f64 z z (*.f64 y x))

Samples

181.0ms

256×

valid

Compiler

Compiled 131 to 24 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 12.0ms (59.3% of total)

ival-add: 7.0ms (34.6% of total)

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.7%)

Memory

-21.9MiB live, 14.0MiB allocated

Counts

13 → 23

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
29.0ms	z	@	-inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* 3 (* z z)) (* y x)) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)))
1.0ms	z	@	inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* 3 (* z z)) (* y x)) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)))
1.0ms	z	@	0	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* 3 (* z z)) (* y x)) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)))
1.0ms	y	@	-inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* 3 (* z z)) (* y x)) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)))
1.0ms	x	@	-inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* 3 (* z z)) (* y x)) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)))

simplify105.0ms (1.9%)

Memory

26.6MiB live, 96.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	207
1	248	163
2	788	163
3	2235	163
4	6578	163
0	8315	146

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

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

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

rewrite399.0ms (7.4%)

Memory

-2.3MiB live, 217.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	108
0	38	115
1	155	91
2	1173	91
0	8311	91

Stop Event

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

Counts

13 → 843

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(.f64 (-.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z z (.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 3 binary64) z) z (*.f64 x y)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 z z) (-.f64 (*.f64 z z) (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))))
(.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 z #s(literal 12 binary64)) (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (fma.f64 z z (*.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y (.f64 #s(literal -3 binary64) (*.f64 z z))))))
(.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (*.f64 (neg.f64 x) y)))))
(.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) z) z) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 x y) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))))))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (fma.f64 x y (.f64 #s(literal -3 binary64) (*.f64 z z))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (*.f64 (neg.f64 x) y)) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (.f64 (*.f64 z z) (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(.f64 (+.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 z z) (-.f64 (*.f64 z z) (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.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 #s(literal 3 binary64) z) z) (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 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 x y) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))))))
(.f64 (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 z #s(literal 12 binary64)) (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (fma.f64 z z (*.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))))) (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))))) (+.f64 (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y))))) (.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))))) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))) (.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))))) (+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))) (/.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 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))))) (+.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 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (*.f64 (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) (fma.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) (.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (*.f64 x y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (fma.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (*.f64 z z))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))) (/.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))) (fma.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))) (.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 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (*.f64 (neg.f64 x) y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 z z) (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (-.f64 (fma.f64 z z (*.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (*.f64 x y))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 z #s(literal 12 binary64)) (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (fma.f64 z z (.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) z) z) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))))
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(-.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (fma.f64 z z (.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (fma.f64 z z (.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))))
(-.f64 (/.f64 (.f64 #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 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (.f64 x y))))))
(+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z)))) (neg.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (.f64 #s(literal -3 binary64) (.f64 z z))))))
(+.f64 (/.f64 (.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))) (neg.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y)))))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (*.f64 x y)))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) z) z) (*.f64 x y))
(+.f64 (*.f64 z z) (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 z z))
(+.f64 (fma.f64 z z (*.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (.f64 x y) (.f64 (*.f64 #s(literal 3 binary64) z) z))
(.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 z #s(literal 12 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 z z))))
(.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 z #s(literal 12 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 z z))))))
(.f64 (.f64 #s(literal 3 binary64) z) z)
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z (fma.f64 z #s(literal 2 binary64) z))
(.f64 z (.f64 #s(literal 3 binary64) z))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 (.f64 z z) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 (*.f64 z z) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 z #s(literal 12 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 z z))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (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 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 z z))))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 z #s(literal 12 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 z z)) (fma.f64 #s(literal 64 binary64) (pow.f64 z #s(literal 12 binary64)) (neg.f64 (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 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 z z)))) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (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 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 z z)))))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (*.f64 z z))
(fma.f64 #s(literal 512 binary64) (pow.f64 z #s(literal 18 binary64)) (*.f64 z z))
(fma.f64 (pow.f64 (.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 3 binary64)) (.f64 z z))
(fma.f64 (pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 3 binary64)) (.f64 z z))
(fma.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 z z))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 z z))
(fma.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64))) (*.f64 z z))
(fma.f64 (.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)) (.f64 z z))
(fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 z z) #s(literal 3 binary64)) (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64))) (.f64 z z))
(fma.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 z z))
(fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 binary64) (*.f64 z z))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 z z))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 z z))
(fma.f64 (.f64 z #s(literal 2 binary64)) z (.f64 z z))
(fma.f64 z (+.f64 z z) (*.f64 z z))
(fma.f64 z (.f64 z #s(literal 2 binary64)) (.f64 z z))
(fma.f64 z z (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 z z))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 z z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 z z))))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 z z))
(+.f64 (*.f64 z z) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))

eval55.0ms (1%)

Memory: -24.6MiB live, 51.8MiB allocated
Compiler: Compiled 9 048 to 852 computations (90.6% saved)

prune9.0ms (0.2%)

Memory

23.5MiB live, 23.5MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	298	2	300
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	300	5	305

Accuracy

100.0%

Counts

305 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	99.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
▶	54.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
✓	54.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	54.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Compiler

Compiled 98 to 56 computations (42.9% saved)

simplify4.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(*.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	3	(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	16	70
0	22	60
1	38	52
2	49	52
3	53	52
0	53	50

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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)

localize57.0ms (1.1%)

Memory

-19.6MiB live, 58.8MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 z z)
accuracy	0.0	(*.f64 z z)
accuracy	0.0703125	(fma.f64 z (+.f64 z z) (*.f64 z z))
accuracy	29.198531842408453	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
accuracy	0.0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.140625	(.f64 (.f64 #s(literal 3 binary64) z) z)
accuracy	29.198531842408453	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Samples

49.0ms

256×

valid

Compiler

Compiled 58 to 16 computations (72.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 36.0ms (87.3% of total)

ival-add: 5.0ms (12.1% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

7 → 13

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)

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ z z) (* z z))
1.0ms	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))
1.0ms	z	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ z z) (* z z))
0.0ms	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))
0.0ms	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))

simplify99.0ms (1.8%)

Memory

-5.9MiB live, 153.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	113
1	129	85
2	404	85
3	1347	85
4	4729	85
0	8565	78

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

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

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

rewrite39.0ms (0.7%)

Memory

12.5MiB live, 50.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	67
0	22	57
1	88	49
0	763	47

Stop Event

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

Counts

7 → 105

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)

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

eval12.0ms (0.2%)

Memory: -13.4MiB live, 24.3MiB allocated
Compiler: Compiled 2 248 to 262 computations (88.3% saved)

prune5.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	79	8	87

Accuracy

100.0%

Counts

87 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	99.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
▶	17.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64))) (.f64 z z)))
▶	17.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (/.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 z z)))
✓	54.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
✓	54.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	54.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
▶	52.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 181 to 104 computations (42.5% saved)

simplify394.0ms (7.3%)

Memory

19.6MiB live, 199.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64))) (.f64 z z)))
cost-diff	1	(fma.f64 z z #s(literal 0 binary64))
cost-diff	3	(fma.f64 z (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64))) (.f64 z z))
cost-diff	6	(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64)))
cost-diff	1	(fma.f64 z z #s(literal 0 binary64))
cost-diff	2	(/.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)))))
cost-diff	3	(fma.f64 z (/.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 z z))
cost-diff	6	(/.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))))
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	25	191
0	38	184
1	74	178
2	192	106
3	774	104
4	2353	104
5	3518	104
6	4691	104
7	5585	104
8	6386	104
9	6712	104
10	6857	104
0	8229	101

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

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

localize106.0ms (2%)

Memory

-16.9MiB live, 112.4MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))
accuracy	0.0703125	(fma.f64 z (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64))) (.f64 z z))
accuracy	29.198531842408453	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64))) (.f64 z z)))
accuracy	40.98673074294057	(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64)))
accuracy	0.0703125	(fma.f64 z (/.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 z z))
accuracy	0.1875	(/.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)))))
accuracy	29.198531842408453	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (/.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 z z)))
accuracy	41.12430157293024	(/.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))))
accuracy	0.0	(*.f64 y x)
accuracy	30.50659173150227	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Samples

46.0ms

256×

valid

Compiler

Compiled 164 to 25 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-add: 14.0ms (46.2% of total)

ival-mult: 9.0ms (29.7% of total)

ival-div: 4.0ms (13.2% of total)

ival-pow: 3.0ms (9.9% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

11 → 14

Calls

Call 1

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

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

Calls

9 calls:

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

simplify204.0ms (3.8%)

Memory

-4.9MiB live, 116.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	118
1	134	90
2	415	90
3	1381	90
4	4750	90
0	8605	83

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

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

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

rewrite203.0ms (3.8%)

Memory

13.8MiB live, 239.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	159
0	38	141
1	165	107
2	1635	87
0	8568	77

Stop Event

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

Counts

11 → 822

Calls

Call 1

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

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)
(.f64 (/.f64 (.f64 z z) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 z #s(literal 4 binary64))))
(.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal -1 binary64)))
(.f64 (/.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 z (.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64)))))
(.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal -4 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal -2 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3/2 binary64)))) (/.f64 (pow.f64 z #s(literal -4 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 (*.f64 #s(literal 2 binary64) z) z)) (/.f64 (pow.f64 z #s(literal -4 binary64)) z))
(.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3/2 binary64)))) (/.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(.f64 (/.f64 z (.f64 #s(literal 2 binary64) z)) (pow.f64 z #s(literal -1 binary64)))
(.f64 (/.f64 z (.f64 (*.f64 #s(literal 2 binary64) z) z)) (/.f64 z z))
(.f64 (/.f64 (.f64 z z) (pow.f64 z #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 z z) (pow.f64 z #s(literal 3/2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 3/2 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (.f64 z z) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 z z) (.f64 (.f64 #s(literal 2 binary64) z) z)) (pow.f64 z #s(literal -1 binary64)))
(.f64 (/.f64 z (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3/2 binary64)))) (/.f64 z (pow.f64 z #s(literal 3/2 binary64))))
(*.f64 (/.f64 (neg.f64 z) #s(literal 2 binary64)) (/.f64 z (neg.f64 (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (/.f64 (neg.f64 z) (pow.f64 z #s(literal 3 binary64))) (/.f64 z #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal -4 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 (/.f64 z #s(literal -2 binary64)) (/.f64 (neg.f64 z) (pow.f64 z #s(literal 3 binary64))))
(*.f64 (/.f64 z (neg.f64 (pow.f64 z #s(literal 3 binary64)))) (/.f64 (neg.f64 z) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 z #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 3 binary64))) (.f64 z z)))
(*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal -4 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 3 binary64))) z))
(*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) z))
(.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (/.f64 (pow.f64 z #s(literal -4 binary64)) (.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) z) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))))
(.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) z) (/.f64 (pow.f64 z #s(literal -4 binary64)) (.f64 (*.f64 #s(literal 2 binary64) z) z)))
(.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (/.f64 (pow.f64 z #s(literal -2 binary64)) (.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) z) (/.f64 (pow.f64 z #s(literal -2 binary64)) (.f64 (*.f64 #s(literal 2 binary64) z) z)))
(*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) z) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 3 binary64))) z))
(.f64 (/.f64 z (pow.f64 z #s(literal 3/2 binary64))) (/.f64 (.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(.f64 (/.f64 z (pow.f64 z #s(literal 3/2 binary64))) (/.f64 z (.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 4 binary64))) z) #s(literal -1 binary64)) (pow.f64 z #s(literal -4 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -3 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 z z))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -1 binary64)) (pow.f64 z #s(literal -2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 z) z) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 z z) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 z) z) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 z z))
(.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 z (.f64 #s(literal 2 binary64) z)))
(.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (.f64 z #s(literal 1/2 binary64)) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -2 binary64))) z)
(.f64 (/.f64 (.f64 (*.f64 z z) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3/2 binary64))))
(.f64 (.f64 z (/.f64 #s(literal 1/2 binary64) z)) (pow.f64 z #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal -2 binary64)))
(.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal -4 binary64)))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) (neg.f64 (pow.f64 z #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -1 binary64)))
(.f64 (pow.f64 z #s(literal -3 binary64)) (.f64 (*.f64 z z) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 z) z))
(.f64 (/.f64 z z) (/.f64 z (.f64 (*.f64 #s(literal 2 binary64) z) z)))
(*.f64 (/.f64 z z) (/.f64 #s(literal 1/2 binary64) z))
(.f64 (.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal -2 binary64)))
(.f64 (neg.f64 (.f64 (*.f64 z z) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 z #s(literal 3 binary64)))))
(.f64 (neg.f64 (.f64 (neg.f64 z) z)) (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 3 binary64))))
(.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 z z)))
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(fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 (.f64 #s(literal 2 binary64) z) z))) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 z #s(literal -4 binary64)) (.f64 (.f64 #s(literal 2 binary64) z) z))
(fma.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 (neg.f64 z) z) #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 2 binary64) z) z))
(fma.f64 (pow.f64 (.f64 (neg.f64 z) z) #s(literal -1 binary64)) (/.f64 z (pow.f64 (.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal -3 binary64)) (/.f64 z (pow.f64 z #s(literal -4 binary64))) (.f64 (.f64 #s(literal 2 binary64) z) z))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal -2 binary64))) (/.f64 z (pow.f64 z #s(literal -3 binary64))) (.f64 z z))
(fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -2 binary64)))) (*.f64 z z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3/2 binary64)) z) (/.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 z z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3/2 binary64)) z) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) z) z))
(fma.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -3 binary64))) (*.f64 z z))
(fma.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 z z))
(fma.f64 (/.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))
(fma.f64 (/.f64 z z) (/.f64 (.f64 (.f64 #s(literal 2 binary64) z) z) #s(literal 1 binary64)) (*.f64 z z))
(fma.f64 (/.f64 z z) (.f64 (.f64 #s(literal 2 binary64) z) z) (*.f64 z z))
(fma.f64 (/.f64 z z) (.f64 z z) (.f64 (*.f64 #s(literal 2 binary64) z) z))
(fma.f64 (.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)) (*.f64 z z))
(fma.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 z (-.f64 (*.f64 #s(literal 2 binary64) z) z)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)))))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (.f64 (neg.f64 z) z) #s(literal -1 binary64)) (*.f64 z z))
(fma.f64 (neg.f64 z) (.f64 #s(literal -2 binary64) z) (.f64 z z))
(fma.f64 (neg.f64 (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (.f64 (.f64 #s(literal 2 binary64) z) z))
(fma.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 z z) (pow.f64 z #s(literal 6 binary64))) (pow.f64 z #s(literal -4 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal -6 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) z) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 z z))) #s(literal 0 binary64))
(fma.f64 (fma.f64 z (pow.f64 z #s(literal 4 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) z) (pow.f64 z #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) z) (pow.f64 z #s(literal 4 binary64)))) #s(literal 0 binary64))
(fma.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 (.f64 z z) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)))) (pow.f64 z #s(literal -4 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 1/2 binary64) z) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) z) #s(literal 0 binary64))
(fma.f64 (+.f64 (pow.f64 z #s(literal 8 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)))) (pow.f64 z #s(literal -6 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (/.f64 #s(literal 1/2 binary64) z) (pow.f64 z #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 1/2 binary64) z))) #s(literal 0 binary64))
(fma.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 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 z z))
(fma.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 z #s(literal -4 binary64)) (*.f64 z z))
(fma.f64 (+.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal -6 binary64)) (*.f64 z z))
(fma.f64 (+.f64 (pow.f64 z #s(literal 10 binary64)) (pow.f64 z #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 z #s(literal -4 binary64))) (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 z (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal -2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 z z))
(fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) z) z))
(fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal -2 binary64)) (.f64 z z))
(fma.f64 (fma.f64 #s(literal 2 binary64) z z) z #s(literal 0 binary64))
(fma.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 z (-.f64 (*.f64 #s(literal 2 binary64) z) z)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal -4 binary64)) (.f64 (.f64 #s(literal 2 binary64) z) z))
(fma.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 2 binary64))))) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)) (.f64 (.f64 #s(literal 2 binary64) z) z))
(fma.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 (/.f64 #s(literal 1/2 binary64) z))) (*.f64 z z))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) z) z) (/.f64 z z) (*.f64 z z))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) z) z) #s(literal 1 binary64) (*.f64 z z))
(fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 z z))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) z) z) (*.f64 z z))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) z z) z) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 z z) (.f64 (*.f64 #s(literal 2 binary64) z) z))
(fma.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal -1 binary64)) (.f64 z z))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal -1 binary64)) (.f64 (.f64 #s(literal 2 binary64) z) z))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 #s(literal 2 binary64) z) (*.f64 z z))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 z z))
(fma.f64 (.f64 z z) (/.f64 (.f64 #s(literal 2 binary64) z) z) (*.f64 z z))
(fma.f64 (.f64 z z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 (*.f64 #s(literal 2 binary64) z) z))
(fma.f64 (.f64 z z) (/.f64 z (.f64 z #s(literal 1/2 binary64))) (*.f64 z z))
(fma.f64 (.f64 z z) (/.f64 z z) (.f64 (*.f64 #s(literal 2 binary64) z) z))
(fma.f64 (.f64 z z) #s(literal 1 binary64) (.f64 (*.f64 #s(literal 2 binary64) z) z))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 z z))
(fma.f64 z (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 (.f64 #s(literal 2 binary64) z) z))
(fma.f64 z (+.f64 z z) (*.f64 z z))
(fma.f64 z (fma.f64 #s(literal 2 binary64) z z) #s(literal 0 binary64))
(fma.f64 z (.f64 #s(literal 2 binary64) z) (.f64 z z))
(fma.f64 z z (.f64 (.f64 #s(literal 2 binary64) z) z))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 z z) (.f64 (.f64 #s(literal 2 binary64) z) z))) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (.f64 z z) (.f64 (*.f64 #s(literal 2 binary64) z) z))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 z (-.f64 (.f64 #s(literal 2 binary64) z) z))) (.f64 (.f64 z z) (/.f64 z (-.f64 (.f64 #s(literal 2 binary64) z) z))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) z) z) (*.f64 z z))
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) z z) z) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) z z) z))
(+.f64 (.f64 z z) (.f64 (*.f64 #s(literal 2 binary64) z) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (fma.f64 #s(literal 2 binary64) z z) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (fma.f64 #s(literal 2 binary64) z z) z))
(*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) z))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) z) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) z) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3/2 binary64))) (pow.f64 z #s(literal 3/2 binary64)))
(.f64 (/.f64 z z) (.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 z z))
(.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal -1 binary64)))
(.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) z) z) z)
(.f64 (.f64 #s(literal 2 binary64) z) (*.f64 z z))
(*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))
(.f64 (.f64 z z) (*.f64 #s(literal 2 binary64) z))
(.f64 z (.f64 (*.f64 #s(literal 2 binary64) z) z))
(/.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 2 binary64))) (neg.f64 z))
(/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) z)
(/.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 2 binary64))))
(/.f64 z (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -2 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) z)) #s(literal -1 binary64) (*.f64 (log.f64 z) #s(literal 2 binary64))))

eval208.0ms (3.9%)

Memory: -21.2MiB live, 141.2MiB allocated
Compiler: Compiled 22 513 to 2 587 computations (88.5% saved)

prune42.0ms (0.8%)

Memory

-20.1MiB live, 54.8MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	658	2	660
Fresh	0	0	0
Picked	2	1	3
Done	0	5	5
Total	660	8	668

Accuracy

100.0%

Counts

668 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	99.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
	54.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 z z)))
✓	54.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
	54.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 (/.f64 #s(literal 1/2 binary64) z))) (*.f64 z z)))
✓	54.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	54.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	52.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 438 to 152 computations (65.3% saved)

regimes43.0ms (0.8%)

Memory

4.6MiB live, 43.1MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

6 calls:

22.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
4.0ms	y
4.0ms	x
4.0ms	z
4.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`
99.2%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.2%	1	`(*.f64 x y)`
99.2%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes47.0ms (0.9%)

Memory

-16.2MiB live, 23.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

34.0ms	z
3.0ms	y
3.0ms	x
3.0ms	(*.f64 x y)
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

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

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes12.0ms (0.2%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
70.7%	3	`x`
67.6%	3	`y`
85.7%	2	`z`
79.0%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
73.6%	3	`(*.f64 x y)`
85.7%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes4.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
85.6%	2	`z`
85.6%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes28.0ms (0.5%)

Memory

-25.9MiB live, 13.6MiB 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:

22.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
1.0ms	(*.f64 x y)
1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
52.3%	1	`y`
52.3%	1	`x`
52.3%	1	`(*.f64 x y)`
52.3%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
52.3%	1	`z`
52.3%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.860645802500689e+59	4.953813182472343e+60

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.860645802500689e+59	4.953813182472343e+60

Compiler

Compiled 14 to 14 computations (0% saved)

simplify162.0ms (3%)

Memory

10.8MiB live, 48.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(if (<=.f64 (.f64 z z) #s(literal 499999999999999974693567648537009433481822505506705036541952 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 499999999999999974693567648537009433481822505506705036541952 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Outputs
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(if (<=.f64 (.f64 z z) #s(literal 499999999999999974693567648537009433481822505506705036541952 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 499999999999999974693567648537009433481822505506705036541952 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

soundness1.0s (19.4%)

Memory

17.6MiB live, 410.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	208
1	244	180
2	776	180
3	2210	180
4	6662	180
0	8142	161
0	41	113
1	129	85
2	404	85
3	1347	85
4	4729	85
0	8565	78
0	23	108
0	38	115
1	155	91
2	1173	91
0	8311	91
0	8	36
0	13	36
1	55	32
2	517	26
3	7658	26
0	8262	23

Stop Event

1×	fuel
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 345 to 153 computations (55.7% saved)

preprocess121.0ms (2.2%)

Memory

8.0MiB live, 91.5MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 390 to 120 computations (69.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample845.0ms (15.6%)

explain182.0ms (3.4%)

preprocess73.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize22.0ms (0.4%)

series7.0ms (0.1%)

simplify109.0ms (2%)

rewrite416.0ms (7.7%)

eval34.0ms (0.6%)

prune7.0ms (0.1%)

simplify5.0ms (0.1%)

localize241.0ms (4.5%)

series36.0ms (0.7%)

simplify105.0ms (1.9%)

rewrite399.0ms (7.4%)

eval55.0ms (1%)

prune9.0ms (0.2%)

simplify4.0ms (0.1%)

localize57.0ms (1.1%)

series5.0ms (0.1%)

simplify99.0ms (1.8%)

rewrite39.0ms (0.7%)

eval12.0ms (0.2%)

prune5.0ms (0.1%)

simplify394.0ms (7.3%)

localize106.0ms (2%)

series8.0ms (0.1%)

simplify204.0ms (3.8%)

rewrite203.0ms (3.8%)

eval208.0ms (3.9%)

prune42.0ms (0.8%)

regimes43.0ms (0.8%)

regimes47.0ms (0.9%)

regimes12.0ms (0.2%)

regimes4.0ms (0.1%)

regimes28.0ms (0.5%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify162.0ms (3%)

soundness1.0s (19.4%)

preprocess121.0ms (2.2%)

end0.0ms (0%)

Profiling