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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

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)

sample859.0ms (12.5%)

Memory

77.1MiB live, 1 475.0MiB allocated; 387ms collecting garbage

Samples

606.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 354.0ms

ival-add: 209.0ms (59.1% of total)

ival-mult: 133.0ms (37.6% of total)

ival-true: 5.0ms (1.4% of total)

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

adjust: 2.0ms (0.6% of total)

Bogosity

explain142.0ms (2.1%)

Memory

11.0MiB live, 198.7MiB allocated; 47ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 z z))`	nan-rescue	2	0
↳	`(*.f64 x y)`	overflow	24
↳	`(*.f64 z z)`	overflow	65
`+.f64`	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`	nan-rescue	1	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	overflow	82
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	82
↳	`(*.f64 x y)`	overflow	24
↳	`(*.f64 z z)`	overflow	130
↳	`(*.f64 z z)`	overflow	65
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	1	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	82
↳	`(*.f64 x y)`	overflow	24
↳	`(*.f64 z z)`	overflow	65
↳	`(*.f64 z z)`	overflow	65

Confusion

	Predicted +	Predicted -
+	2	0
-	0	254

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	254
1	1
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms

512×

valid

Compiler

Compiled 103 to 28 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-add: 39.0ms (84.4% of total)

ival-mult: 7.0ms (15.2% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess141.0ms (2.1%)

Memory

-0.5MiB live, 137.5MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	142
1	129	120
2	373	84
3	946	82
4	2093	81
5	3017	81
6	3501	81
7	3666	81
8	3786	81
9	3786	81
0	8	15
0	13	15
1	28	13
2	90	9
3	270	9
4	643	9
5	932	9
6	1184	9
7	1292	9
8	1372	9
0	1372	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: 0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify31.0ms (0.4%)

Memory

0.4MiB live, 49.8MiB allocated; 9ms collecting garbage

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	28	38
2	90	34
3	270	34
4	643	34
5	932	34
6	1184	34
7	1292	34
8	1372	34
0	1372	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

localize26.0ms (0.4%)

Memory

-7.9MiB live, 82.0MiB allocated; 7ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.24999793583020583	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
accuracy	0.3124979358302058	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
accuracy	0.45702918583020585	(+.f64 (.f64 x y) (.f64 z z))

Samples

20.0ms

256×

valid

Compiler

Compiled 44 to 10 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (50.6% of total)

ival-add: 4.0ms (40.4% of total)

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

adjust: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

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))

simplify100.0ms (1.5%)

Memory

-15.3MiB live, 144.1MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	208
1	281	180
2	997	180
3	4202	180
0	8237	161

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

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

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

rewrite342.0ms (5%)

Memory

-13.8MiB live, 212.3MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
0	13	36
1	63	32
2	637	24
0	9212	20

Stop Event

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

Counts

4 → 244

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

eval30.0ms (0.4%)

Memory: 19.7MiB live, 58.4MiB allocated; 13ms collecting garbage
Compiler: Compiled 8 183 to 794 computations (90.3% saved)

prune17.0ms (0.2%)

Memory

-38.0MiB live, 27.9MiB allocated; 16ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	244	7	251
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	245	7	252

Accuracy

100.0%

Counts

252 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.7%	(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
▶	79.7%	(fma.f64 y x (fma.f64 z z #s(literal 0 binary64)))
▶	99.1%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
	29.2%	(+.f64 (fma.f64 z z (/.f64 (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 3 binary64)) (fma.f64 (.f64 z z) (-.f64 #s(literal 0 binary64) (.f64 y x)) (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (-.f64 #s(literal 0 binary64) (.f64 y x)) (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)))))
	38.8%	(+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (.f64 (neg.f64 z) z))) (.f64 z z)) (.f64 z z))
▶	99.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
▶	52.4%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Compiler

Compiled 286 to 158 computations (44.8% saved)

simplify39.0ms (0.6%)

Memory

17.4MiB live, 60.4MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	121
0	35	115
1	68	111
2	178	103
3	481	103
4	1027	103
5	1375	103
6	1657	103
7	1787	103
8	1907	103
0	1907	103

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize111.0ms (1.6%)

Memory

20.8MiB live, 111.0MiB allocated; 7ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z z)
accuracy	0.0	(*.f64 y x)
accuracy	0.5078104358302058	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
accuracy	0.0	(fma.f64 y x #s(literal 0 binary64))
accuracy	0.2539034976055602	(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
accuracy	0.0	(fma.f64 z z #s(literal 0 binary64))
accuracy	0.2539034976055602	(fma.f64 y x (fma.f64 z z #s(literal 0 binary64)))
accuracy	0.0	(*.f64 z z)
accuracy	0.12890625	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	30.376885266031945	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
accuracy	0.3046847476055602	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))

Samples

99.0ms

256×

valid

Compiler

Compiled 116 to 22 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 75.0ms (89.4% of total)

ival-add: 8.0ms (9.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-30.4MiB live, 24.9MiB allocated; 9ms collecting garbage

Counts

12 → 22

Calls

Call 1

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

Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(pow z 2)
(+ (* x y) (pow z 2))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (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 (+ (* -3 (/ (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 (* 3 (/ (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 (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* 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
5.0ms	z	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (* z z) 0) (+ (* y x) (+ (* z z) 0)) (+ (* y x) 0) (+ (* z z) (+ (* y x) 0)) (+ (* 3 (* z z)) (* y x)))
1.0ms	z	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (* z z) 0) (+ (* y x) (+ (* z z) 0)) (+ (* y x) 0) (+ (* z z) (+ (* y x) 0)) (+ (* 3 (* z z)) (* y x)))
1.0ms	z	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (* z z) 0) (+ (* y x) (+ (* z z) 0)) (+ (* y x) 0) (+ (* z z) (+ (* y x) 0)) (+ (* 3 (* z z)) (* y x)))
1.0ms	x	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (* z z) 0) (+ (* y x) (+ (* z z) 0)) (+ (* y x) 0) (+ (* z z) (+ (* y x) 0)) (+ (* 3 (* z z)) (* y x)))
1.0ms	y	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (* z z) 0) (+ (* y x) (+ (* z z) 0)) (+ (* y x) 0) (+ (* z z) (+ (* y x) 0)) (+ (* 3 (* z z)) (* y x)))

simplify245.0ms (3.6%)

Memory

16.6MiB live, 218.6MiB allocated; 36ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	204
1	276	160
2	948	160
3	3781	160
0	8253	143

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

rewrite338.0ms (4.9%)

Memory

-1.6MiB live, 421.4MiB allocated; 75ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	97
0	35	91
1	179	87
2	1927	87
0	8834	85

Stop Event

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

Counts

12 → 2 327

Calls

Call 1

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

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

eval487.0ms (7.1%)

Memory: -29.4MiB live, 570.4MiB allocated; 181ms collecting garbage
Compiler: Compiled 46 694 to 3 498 computations (92.5% saved)

prune65.0ms (0.9%)

Memory

9.8MiB live, 159.3MiB allocated; 15ms collecting garbage

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	1 696	8	1 704
Fresh	2	0	2
Picked	3	2	5
Done	0	0	0
Total	1 701	10	1 711

Accuracy

100.0%

Counts

1 711 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.7%	(fma.f64 z z (*.f64 y x))
▶	79.7%	(fma.f64 y x (*.f64 z z))
✓	99.1%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
▶	14.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64)) (.f64 z z)))
▶	99.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (-.f64 (.f64 y x) (.f64 #s(literal -3 binary64) (*.f64 z z))))
	52.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
	14.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 z z))))
✓	52.4%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	42.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))
▶	33.5%	#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))

Compiler

Compiled 315 to 199 computations (36.8% saved)

simplify150.0ms (2.2%)

Memory

-4.5MiB live, 41.7MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 z #s(literal 4 binary64))
cost-diff	0	(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64))
cost-diff	0	(/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64)) (.f64 z z))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64)) (.f64 z z)))
cost-diff	0	(pow.f64 z #s(literal 4 binary64))
cost-diff	0	(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))
cost-diff	0	(*.f64 z z)
cost-diff	0	(fma.f64 y x (*.f64 z z))
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))
cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 z z))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (-.f64 (.f64 y x) (.f64 #s(literal -3 binary64) (*.f64 z z))))
cost-diff	1	(-.f64 (.f64 y x) (.f64 #s(literal -3 binary64) (*.f64 z z)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	165
0	43	159
1	79	153
2	224	144
3	570	144
4	1189	144
5	1585	144
6	1903	144
7	2037	144
8	2162	144
9	2165	144
0	2165	139

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

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

localize144.0ms (2.1%)

Memory

2.8MiB live, 137.8MiB allocated; 28ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z z)
accuracy	0.0703125	(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64))
accuracy	30.376885266031945	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64)) (.f64 z z)))
accuracy	43.31185082240831	(/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64)) (.f64 z z))
accuracy	0.0	(pow.f64 z #s(literal 4 binary64))
accuracy	0.06869125976844201	(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
accuracy	13.790032104220947	(sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
accuracy	30.376885266031945	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))
accuracy	0.0	(*.f64 z z)
accuracy	0.2539034976055602	(fma.f64 y x (*.f64 z z))
accuracy	0.0	(*.f64 z z)
accuracy	30.391713057557595	#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (-.f64 (.f64 y x) (.f64 #s(literal -3 binary64) (*.f64 z z))))
accuracy	0.12890625	(.f64 #s(literal -3 binary64) (.f64 z z))
accuracy	0.44921668583020585	(-.f64 (.f64 y x) (.f64 #s(literal -3 binary64) (*.f64 z z)))

Samples

105.0ms

256×

valid

Compiler

Compiled 137 to 26 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 34.0ms (70.6% of total)

ival-add: 6.0ms (12.5% of total)

ival-pow: 3.0ms (6.2% of total)

ival-sqrt: 2.0ms (4.2% of total)

ival-div: 1.0ms (2.1% of total)

ival-sub: 1.0ms (2.1% of total)

exact: 1.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

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

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

series13.0ms (0.2%)

Memory

-8.5MiB live, 33.6MiB allocated; 8ms collecting garbage

Counts

14 → 26

Calls

Call 1

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

Outputs
(* 3 (pow z 2))
(- (* x y) (* -3 (pow z 2)))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(pow z 2)
(+ (* x y) (pow z 2))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(+ (* 3 (pow z 2)) (* x y))
(* -3 (pow z 2))
(* 9 (pow z 4))
(pow z 4)
(* 3 (pow z 4))
(* (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
5.0ms	z	@	-inf	((- (* y x) (* -3 (* z z))) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (* -3 (* z z)) (+ (* y x) (+ (* z z) 0)) (* z z) (+ (* y x) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* 9 (pow z 4))) (* 9 (pow z 4)) (pow z 4) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ (* (pow z 4) 3) (* z z)) (* (pow z 4) 3))
2.0ms	z	@	inf	((- (* y x) (* -3 (* z z))) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (* -3 (* z z)) (+ (* y x) (+ (* z z) 0)) (* z z) (+ (* y x) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* 9 (pow z 4))) (* 9 (pow z 4)) (pow z 4) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ (* (pow z 4) 3) (* z z)) (* (pow z 4) 3))
1.0ms	z	@	0	((- (* y x) (* -3 (* z z))) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (* -3 (* z z)) (+ (* y x) (+ (* z z) 0)) (* z z) (+ (* y x) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* 9 (pow z 4))) (* 9 (pow z 4)) (pow z 4) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ (* (pow z 4) 3) (* z z)) (* (pow z 4) 3))
1.0ms	x	@	-inf	((- (* y x) (* -3 (* z z))) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (* -3 (* z z)) (+ (* y x) (+ (* z z) 0)) (* z z) (+ (* y x) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* 9 (pow z 4))) (* 9 (pow z 4)) (pow z 4) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ (* (pow z 4) 3) (* z z)) (* (pow z 4) 3))
1.0ms	x	@	0	((- (* y x) (* -3 (* z z))) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (* -3 (* z z)) (+ (* y x) (+ (* z z) 0)) (* z z) (+ (* y x) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* 9 (pow z 4))) (* 9 (pow z 4)) (pow z 4) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ (* (pow z 4) 3) (* z z)) (* (pow z 4) 3))

simplify130.0ms (1.9%)

Memory

9.0MiB live, 172.2MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	184
1	284	184
2	963	184
3	3857	184
0	8414	166

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

Calls

Call 1

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

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

rewrite232.0ms (3.4%)

Memory

0.0MiB live, 320.8MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	139
0	43	125
1	179	117
2	1472	117
0	9287	112

Stop Event

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

Counts

14 → 1 455

Calls

Call 1

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

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

eval376.0ms (5.5%)

Memory: 29.9MiB live, 551.3MiB allocated; 111ms collecting garbage
Compiler: Compiled 55 003 to 4 885 computations (91.1% saved)

prune55.0ms (0.8%)

Memory

-19.5MiB live, 219.5MiB allocated; 23ms collecting garbage

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	2 016	5	2 021
Fresh	1	2	3
Picked	3	2	5
Done	0	2	2
Total	2 020	11	2 031

Accuracy

100.0%

Counts

2 031 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.7%	(fma.f64 y x (*.f64 z z))
✓	99.1%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
▶	99.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (*.f64 x y)))
▶	99.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))))
▶	52.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
	14.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 z z))))
✓	52.4%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	42.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (.f64 (.f64 z z) (.f64 #s(literal 9 binary64) (.f64 z z)))))
	42.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (.f64 #s(literal 9 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) z))))
▶	4.8%	#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 (neg.f64 z) z))
✓	33.5%	#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))

Compiler

Compiled 380 to 224 computations (41.1% saved)

simplify111.0ms (1.6%)

Memory

-12.6MiB live, 89.4MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 z z))
cost-diff	0	(sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z)))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (*.f64 x y)))
cost-diff	8	(fma.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (*.f64 x y))
cost-diff	0	(*.f64 z z)
cost-diff	0	(sqrt.f64 (.f64 (.f64 z z) (.f64 #s(literal 9 binary64) (.f64 z z))))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (.f64 (.f64 z z) (.f64 #s(literal 9 binary64) (.f64 z z)))))
cost-diff	4	(.f64 (.f64 z z) (.f64 #s(literal 9 binary64) (.f64 z z)))
cost-diff	0	(*.f64 #s(literal 3 binary64) z)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) z) z)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) z)
cost-diff	0	#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 (neg.f64 z) z))
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	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	220
0	48	202
1	94	194
2	270	168
3	952	162
4	2583	162
5	3042	162
6	3301	162
7	3418	162
8	3522	162
9	3522	162
0	3522	161

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
y
x
(.f64 #s(literal 3 binary64) (.f64 z z))
#s(literal 3 binary64)
(*.f64 z z)
z
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 (neg.f64 z) z))
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
#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)) (sqrt.f64 (.f64 (.f64 z z) (.f64 #s(literal 9 binary64) (.f64 z z)))))
(sqrt.f64 (.f64 (.f64 z z) (.f64 #s(literal 9 binary64) (.f64 z z))))
(.f64 (.f64 z z) (.f64 #s(literal 9 binary64) (.f64 z z)))
(*.f64 z z)
z
(.f64 #s(literal 9 binary64) (.f64 z z))
#s(literal 9 binary64)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (*.f64 x y)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (*.f64 x y))
(sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z)))
(.f64 #s(literal 3 binary64) (.f64 z z))
#s(literal 3 binary64)
(*.f64 z z)
z
(*.f64 x y)
x
y

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
y
x
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 (.f64 z z) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 z z)
z
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 (neg.f64 z) z))
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) z) z)
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
z
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (.f64 (.f64 z z) (.f64 #s(literal 9 binary64) (.f64 z z)))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))))
(sqrt.f64 (.f64 (.f64 z z) (.f64 #s(literal 9 binary64) (.f64 z z))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)))
(.f64 (.f64 z z) (.f64 #s(literal 9 binary64) (.f64 z z)))
(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))
(*.f64 z z)
z
(.f64 #s(literal 9 binary64) (.f64 z z))
#s(literal 9 binary64)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (*.f64 x y)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (*.f64 x y))
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
(sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z)))
(sqrt.f64 (.f64 (.f64 z z) #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 (.f64 z z) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 z z)
z
(*.f64 x y)
(*.f64 y x)
x
y

localize134.0ms (2%)

Memory

-3.4MiB live, 142.1MiB allocated; 12ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (*.f64 x y)))
accuracy	0.12890625	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	0.3593722476055602	(fma.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (*.f64 x y))
accuracy	31.303345096641443	(sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z)))
accuracy	0.1015625	(.f64 (.f64 z z) (.f64 #s(literal 9 binary64) (.f64 z z)))
accuracy	0.16369879138909577	(.f64 #s(literal 9 binary64) (.f64 z z))
accuracy	13.790032104220947	(sqrt.f64 (.f64 (.f64 z z) (.f64 #s(literal 9 binary64) (.f64 z z))))
accuracy	30.376885266031945	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (.f64 (.f64 z z) (.f64 #s(literal 9 binary64) (.f64 z z)))))
accuracy	0.0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.1171875	(.f64 (.f64 #s(literal 3 binary64) z) z)
accuracy	30.376885266031945	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
accuracy	0.0	(*.f64 (neg.f64 z) z)
accuracy	0.0	(neg.f64 z)
accuracy	60.923428540501284	#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 (neg.f64 z) z))
accuracy	0.0	(*.f64 z z)
accuracy	0.0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))))
accuracy	0.12890625	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	0.24999724760556022	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))

Samples

60.0ms

256×

valid

Compiler

Compiled 176 to 28 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-add: 21.0ms (52.4% of total)

ival-mult: 14.0ms (34.9% of total)

ival-sqrt: 3.0ms (7.5% of total)

ival-neg: 1.0ms (2.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

32.6MiB live, 32.6MiB allocated; 0ms collecting garbage

Counts

17 → 35

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(.f64 #s(literal 3 binary64) (.f64 z z))
(*.f64 z z)
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 (neg.f64 z) z))
(*.f64 (neg.f64 z) z)
(neg.f64 z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
(.f64 (.f64 #s(literal 3 binary64) z) z)
(*.f64 #s(literal 3 binary64) z)
(.f64 (.f64 z z) (.f64 #s(literal 9 binary64) (.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (.f64 (.f64 z z) (.f64 #s(literal 9 binary64) (.f64 z z)))))
(sqrt.f64 (.f64 (.f64 z z) (.f64 #s(literal 9 binary64) (.f64 z z))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (*.f64 x y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (*.f64 x y)))
(sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z)))
(.f64 #s(literal 9 binary64) (.f64 z z))

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (* y x) (+ (* z z) 0)) (* (neg z) z) (neg z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (* (* z z) (* 9 (* z z))) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* (* z z) (* 9 (* z z)))) (+ (* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z)))) (* x y)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* 3 (* z z))) (* 9 (* z z)))
2.0ms	z	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (* y x) (+ (* z z) 0)) (* (neg z) z) (neg z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (* (* z z) (* 9 (* z z))) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* (* z z) (* 9 (* z z)))) (+ (* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z)))) (* x y)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* 3 (* z z))) (* 9 (* z z)))
2.0ms	z	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (* y x) (+ (* z z) 0)) (* (neg z) z) (neg z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (* (* z z) (* 9 (* z z))) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* (* z z) (* 9 (* z z)))) (+ (* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z)))) (* x y)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* 3 (* z z))) (* 9 (* z z)))
2.0ms	x	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (* y x) (+ (* z z) 0)) (* (neg z) z) (neg z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (* (* z z) (* 9 (* z z))) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* (* z z) (* 9 (* z z)))) (+ (* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z)))) (* x y)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* 3 (* z z))) (* 9 (* z z)))
1.0ms	x	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (* y x) (+ (* z z) 0)) (* (neg z) z) (neg z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (* (* z z) (* 9 (* z z))) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* (* z z) (* 9 (* z z)))) (+ (* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z)))) (* x y)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt (* 3 (* z z))) (* 9 (* z z)))

simplify209.0ms (3%)

Memory

-29.3MiB live, 214.7MiB allocated; 52ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	302
1	372	290
2	1264	290
3	4576	290
0	8246	267

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 35

Calls

Call 1

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

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

rewrite248.0ms (3.6%)

Memory

14.4MiB live, 248.0MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	193
0	48	164
1	190	151
2	1685	148
0	8879	139

Stop Event

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

Counts

17 → 1 267

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(.f64 #s(literal 3 binary64) (.f64 z z))
(*.f64 z z)
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 (neg.f64 z) z))
(*.f64 (neg.f64 z) z)
(neg.f64 z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
(.f64 (.f64 #s(literal 3 binary64) z) z)
(*.f64 #s(literal 3 binary64) z)
(.f64 (.f64 z z) (.f64 #s(literal 9 binary64) (.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (.f64 (.f64 z z) (.f64 #s(literal 9 binary64) (.f64 z z)))))
(sqrt.f64 (.f64 (.f64 z z) (.f64 #s(literal 9 binary64) (.f64 z z))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (*.f64 x y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z))) (*.f64 x y)))
(sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 z z)))
(.f64 #s(literal 9 binary64) (.f64 z z))

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

eval296.0ms (4.3%)

Memory: -7.3MiB live, 323.9MiB allocated; 50ms collecting garbage
Compiler: Compiled 52 680 to 4 763 computations (91% saved)

prune251.0ms (3.7%)

Memory

-4.2MiB live, 211.1MiB allocated; 34ms collecting garbage

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	1 481	5	1 486
Fresh	2	0	2
Picked	3	2	5
Done	0	4	4
Total	1 486	11	1 497

Accuracy

100.0%

Counts

1 497 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.7%	(fma.f64 y x (*.f64 z z))
✓	99.1%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
	99.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))) z (*.f64 y x)))
✓	99.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))))
	94.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x))
	52.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 (*.f64 (sqrt.f64 z) #s(literal 3 binary64)) (sqrt.f64 z)) z))
✓	52.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
	54.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
✓	52.4%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
	42.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (sqrt.f64 (.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 9 binary64)) z)))
✓	33.5%	#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))

Compiler

Compiled 758 to 231 computations (69.5% saved)

regimes136.0ms (2%)

Memory

-9.3MiB live, 84.7MiB allocated; 3ms collecting garbage

Counts

26 → 1

Calls

Call 1

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

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:

62.0ms	(*.f64 z z)
44.0ms	y
7.0ms	x
7.0ms	z
7.0ms	(*.f64 x y)

Results

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

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes43.0ms (0.6%)

Memory

7.0MiB live, 58.1MiB allocated; 5ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes39.0ms (0.6%)

Memory

-16.7MiB live, 70.9MiB allocated; 9ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

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

Calls

6 calls:

16.0ms	x
9.0ms	(*.f64 z z)
3.0ms	z
3.0ms	y
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

Accuracy	Segments	Branch
86.7%	2	`(*.f64 z z)`
86.2%	3	`(*.f64 x y)`
83.4%	3	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
79.7%	1	`x`
79.7%	1	`y`
86.7%	2	`z`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes5.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 (neg.f64 z) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
85.9%	2	`(*.f64 z z)`
85.9%	2	`z`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes7.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 (neg.f64 z) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.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)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Calls

2 calls:

5.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
85.8%	2	`(*.f64 z z)`
85.8%	2	`z`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes30.0ms (0.4%)

Memory

5.6MiB live, 50.1MiB allocated; 4ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 (neg.f64 z) z))

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))

Calls

6 calls:

22.0ms	z
2.0ms	x
2.0ms	y
2.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
1.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
62.3%	5	`x`
54.3%	1	`y`
73.5%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
60.1%	3	`(*.f64 x y)`
77.1%	2	`(*.f64 z z)`
77.1%	2	`z`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes18.0ms (0.3%)

Memory

-30.5MiB live, 24.4MiB allocated; 14ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))

Outputs
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))

Calls

6 calls:

12.0ms	z
1.0ms	(*.f64 z z)
1.0ms	y
1.0ms	x
1.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

Accuracy	Segments	Branch
33.5%	1	`y`
33.5%	1	`x`
33.5%	1	`(*.f64 x y)`
33.5%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
33.5%	1	`(*.f64 z z)`
33.5%	1	`z`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

bsearch15.0ms (0.2%)

Memory

-18.9MiB live, 28.1MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.7216755413531262e-6	0.00022543791586092187

Samples

6.0ms

112×

valid

Compiler

Compiled 207 to 147 computations (29% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 1.0ms (34.5% of total)

ival-mult: 1.0ms (34.5% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7216755413531262e-6	0.00022543791586092187

Compiler

Compiled 298 to 182 computations (38.9% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7216755413531262e-6	0.00022543791586092187

Compiler

Compiled 298 to 182 computations (38.9% saved)

bsearch8.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.2221024769956009e+101	3.304299203807543e+101

Samples

4.0ms

80×

valid

Compiler

Compiled 178 to 124 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 1.0ms (48.8% of total)

ival-mult: 1.0ms (48.8% of total)

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

adjust: 0.0ms (0% of total)

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

simplify40.0ms (0.6%)

Memory

-13.0MiB live, 32.0MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	212
1	55	196
2	142	180
3	383	180
4	910	180
5	2055	180
6	3267	180

Stop Event

1×	node limit

Calls

Call 1

Inputs
#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 y x (.f64 #s(literal 3 binary64) (.f64 z z))))
(if (<=.f64 z #s(literal 8116567392432203/73786976294838206464 binary64)) (fma.f64 y x (.f64 z z)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 z #s(literal 8116567392432203/73786976294838206464 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)))
(if (<=.f64 z #s(literal 8116567392432203/73786976294838206464 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z))))
(if (<=.f64 z #s(literal 165000000000000005537980371448980084107146201540375502895002163281048621618529902111778682574450196480 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ ( y x) (+ (* z z) 0)) (*.f64 z z)))
#s(approx (+ (* y x) (+ (* z z) 0)) (*.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)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))))
(if (<=.f64 z #s(literal 8116567392432203/73786976294838206464 binary64)) (fma.f64 y x (.f64 z z)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 z #s(literal 8116567392432203/73786976294838206464 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)))
(if (<=.f64 z #s(literal 8116567392432203/73786976294838206464 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z))))
(if (<=.f64 z #s(literal 165000000000000005537980371448980084107146201540375502895002163281048621618529902111778682574450196480 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ ( y x) (+ (* z z) 0)) (*.f64 z z)))
#s(approx (+ (* y x) (+ (* z z) 0)) (*.f64 z z))

derivations1.0s (15.1%)

Memory

72.7MiB live, 1 045.6MiB allocated; 233ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	302
1	372	290
2	1264	290
3	4576	290
0	8246	267
0	70	204
1	276	160
2	948	160
3	3781	160
0	8253	143
0	30	139
0	43	125
1	179	117
2	1472	117
0	9287	112
0	70	208
1	281	180
2	997	180
3	4202	180
0	8237	161
0	8	36
0	13	36
1	63	32
2	637	24
0	9212	20
0	22	97
0	35	91
1	179	87
2	1927	87
0	8834	85

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

Compiler

Compiled 216 to 35 computations (83.8% saved)

preprocess144.0ms (2.1%)

Memory

-19.0MiB live, 179.0MiB allocated; 55ms collecting garbage

Remove

(sort x y)

(abs z)

Compiler

Compiled 576 to 154 computations (73.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze1.0ms (0%)

sample859.0ms (12.5%)

explain142.0ms (2.1%)

preprocess141.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify31.0ms (0.4%)

localize26.0ms (0.4%)

series7.0ms (0.1%)

simplify100.0ms (1.5%)

rewrite342.0ms (5%)

eval30.0ms (0.4%)

prune17.0ms (0.2%)

simplify39.0ms (0.6%)

localize111.0ms (1.6%)

series13.0ms (0.2%)

simplify245.0ms (3.6%)

rewrite338.0ms (4.9%)

eval487.0ms (7.1%)

prune65.0ms (0.9%)

simplify150.0ms (2.2%)

localize144.0ms (2.1%)

series13.0ms (0.2%)

simplify130.0ms (1.9%)

rewrite232.0ms (3.4%)

eval376.0ms (5.5%)

prune55.0ms (0.8%)

simplify111.0ms (1.6%)

localize134.0ms (2%)

series15.0ms (0.2%)

simplify209.0ms (3%)

rewrite248.0ms (3.6%)

eval296.0ms (4.3%)

prune251.0ms (3.7%)

regimes136.0ms (2%)

regimes43.0ms (0.6%)

regimes39.0ms (0.6%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes30.0ms (0.4%)

regimes18.0ms (0.3%)

bsearch15.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch8.0ms (0.1%)

simplify40.0ms (0.6%)

derivations1.0s (15.1%)

preprocess144.0ms (2.1%)

end0.0ms (0%)

Profiling