Metrics for Diagrams.TwoD.Apollonian:initialConfig from diagrams-contrib-1.3.0.5, A

start0.0ms (0%)

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

analyze58.0ms (0.9%)

Memory

1.1MiB live, 141.9MiB allocated; 10ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	49.9%	49.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.2s (18.7%)

Memory

37.9MiB live, 1 827.6MiB allocated; 393ms collecting garbage

Samples

819.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 530.0ms

ival-mult: 341.0ms (64.4% of total)

ival-sub: 67.0ms (12.6% of total)

ival-div: 67.0ms (12.6% of total)

ival-add: 38.0ms (7.2% of total)

ival-true: 6.0ms (1.1% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain184.0ms (2.9%)

Memory

-45.3MiB live, 295.3MiB allocated; 50ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
64	-	1	(-3.4657929113188563e-202 -4.03894077675356e-156 8.045726724422348e-162)	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
22	-	0	-	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(*.f64 y #s(literal 2 binary64))`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	o/n	61	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	150
↳	`(*.f64 y y)`	overflow	61
↳	`(*.f64 x x)`	overflow	57
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	108
↳	`(*.f64 z z)`	overflow	64
`-.f64`	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	nan-rescue	22	0
↳	`(*.f64 y y)`	overflow	61
↳	`(*.f64 x x)`	overflow	57
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	108
↳	`(*.f64 z z)`	overflow	64
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	u/n	2	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	2
↳	`(*.f64 y y)`	underflow	57
↳	`(*.f64 x x)`	underflow	64
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	13
↳	`(*.f64 z z)`	underflow	56

Confusion

	Predicted +	Predicted -
+	77	1
-	0	178

Precision

1.0

Recall

0.9871794871794872

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	77	0	1
-	0	0	178

Precision?

1.0

Recall?

0.9871794871794872

Freqs

test

number	freq
0	179
1	69
2	8

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms

512×

valid

Compiler

Compiled 117 to 37 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 13.0ms (57.5% of total)

ival-div: 4.0ms (17.7% of total)

ival-sub: 2.0ms (8.9% of total)

ival-add: 2.0ms (8.9% 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)

preprocess133.0ms (2.1%)

Memory

44.1MiB live, 178.8MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	138
1	150	135
2	890	135
3	3698	135
0	11	15
0	18	15
1	45	15
2	192	15
3	885	15
4	2805	13
0	8294	12

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

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

Symmetry

(abs z)

(abs x)

(negabs y)

Compiler

Compiled 15 to 11 computations (26.7% 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

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.4%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify139.0ms (2.2%)

Memory

-23.4MiB live, 265.1MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
cost-diff	1	(+.f64 (.f64 x x) (.f64 y y))
cost-diff	2	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
0	18	49
1	45	49
2	192	49
3	885	49
4	2805	47
0	8294	44

Stop Event

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

Calls

Call 1

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

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

localize29.0ms (0.5%)

Memory

-12.6MiB live, 79.4MiB allocated; 4ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (.f64 x x) (.f64 y y))
accuracy	4.890604358302059	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
accuracy	14.684671597620072	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Samples

20.0ms

256×

valid

Compiler

Compiled 51 to 13 computations (74.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (56.1% of total)

ival-div: 2.0ms (18.7% of total)

ival-sub: 1.0ms (9.3% of total)

ival-add: 1.0ms (9.3% 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)

series9.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated; 0ms collecting garbage

Counts

4 → 26

Calls

Call 1

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

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

Calls

9 calls:

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

simplify234.0ms (3.6%)

Memory

6.3MiB live, 247.4MiB allocated; 52ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	312
1	198	306
2	631	294
3	3428	292
0	8251	276

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

Calls

Call 1

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

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

rewrite161.0ms (2.5%)

Memory

-15.1MiB live, 221.8MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
0	18	36
1	76	36
2	745	36
0	8750	33

Stop Event

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

Counts

4 → 313

Calls

Call 1

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

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

eval44.0ms (0.7%)

Memory: -6.9MiB live, 135.6MiB allocated; 16ms collecting garbage
Compiler: Compiled 10 647 to 1 339 computations (87.4% saved)

prune11.0ms (0.2%)

Memory

41.7MiB live, 41.7MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	324	12	336
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	325	12	337

Accuracy

100.0%

Counts

337 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.6%	(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) y) (.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 #s(literal 2 binary64) y)) (.f64 (neg.f64 z) z))) (.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) y)))
	23.7%	(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (neg.f64 y) y (.f64 z z)) (fma.f64 (neg.f64 y) y (.f64 z z)))) (fma.f64 x x (fma.f64 (neg.f64 y) y (.f64 z z)))) (*.f64 y #s(literal 2 binary64)))
▶	51.7%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (-.f64 y z) (+.f64 z y))) (.f64 y #s(literal 2 binary64)))
	64.5%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 y y (.f64 x x)) z) z) #s(literal 1 binary64)) z) z)) (.f64 y #s(literal 2 binary64)))
	81.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 (-.f64 x z) (+.f64 z x)) #s(literal 1/2 binary64)) y))
	64.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
▶	99.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
▶	28.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
▶	67.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
	66.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)))
▶	35.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
	35.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))

Compiler

Compiled 666 to 408 computations (38.7% saved)

simplify192.0ms (3%)

Memory

-20.8MiB live, 271.9MiB allocated; 113ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	243
0	54	243
1	107	243
2	305	243
3	1223	243
4	3979	243
0	8101	237

Stop Event

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

Calls

Call 1

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

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

localize142.0ms (2.2%)

Memory

-22.6MiB live, 124.6MiB allocated; 29ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 (-.f64 y z) (+.f64 z y))
accuracy	0.0	(*.f64 y #s(literal 2 binary64))
accuracy	14.684671597620072	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (-.f64 y z) (+.f64 z y))) (.f64 y #s(literal 2 binary64)))
accuracy	17.10045016201647	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 y z) (+.f64 z y)))
accuracy	0.0	(.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 z z)
accuracy	5.104999481634962	(/.f64 (*.f64 z z) y)
accuracy	18.65399599216625	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
accuracy	0.0	(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	6.6682709852123745	(/.f64 (*.f64 x x) y)
accuracy	44.02021458111518	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	41.25216336719379	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0.0	(+.f64 z x)
accuracy	0.0	(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
accuracy	0.0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
accuracy	0.04296875	(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)

Samples

55.0ms

256×

valid

Compiler

Compiled 196 to 29 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 15.0ms (38% of total)

ival-sub: 13.0ms (33% of total)

ival-div: 6.0ms (15.2% of total)

ival-add: 5.0ms (12.7% 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)

series34.0ms (0.5%)

Memory

27.8MiB live, 71.9MiB allocated; 11ms collecting garbage

Counts

20 → 98

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	y	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (* z z) (* y 2))
3.0ms	x	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (* z z) (* y 2))
3.0ms	y	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (* z z) (* y 2))
3.0ms	y	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (* z z) (* y 2))
2.0ms	z	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (* z z) (* y 2))

simplify214.0ms (3.3%)

Memory

-22.3MiB live, 315.9MiB allocated; 52ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	1270
1	1042	1082
2	4206	1068
0	8374	1020

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 95

Calls

Call 1

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

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

rewrite200.0ms (3.1%)

Memory

25.1MiB live, 268.4MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	217
0	54	217
1	200	217
2	1729	217
0	9183	211

Stop Event

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

Counts

20 → 365

Calls

Call 1

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

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

eval62.0ms (1%)

Memory: -26.4MiB live, 117.0MiB allocated; 30ms collecting garbage
Compiler: Compiled 18 178 to 2 025 computations (88.9% saved)

prune19.0ms (0.3%)

Memory

10.0MiB live, 55.3MiB allocated; 5ms collecting garbage

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	435	9	444
Fresh	4	3	7
Picked	3	2	5
Done	0	0	0
Total	442	14	456

Accuracy

100.0%

Counts

456 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.5%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z y) (.f64 y y))) (+.f64 z y))) (*.f64 y #s(literal 2 binary64)))
	64.5%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 y y (.f64 x x)) z) z) #s(literal 1 binary64)) z) z)) (.f64 y #s(literal 2 binary64)))
▶	18.2%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 y y)) (.f64 y #s(literal 2 binary64)))
▶	64.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
✓	28.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
▶	70.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64)))
	31.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
	36.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (- y (/ ( z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64)))
	70.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) z y)) #s(literal 1/2 binary64)))
▶	93.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x z) y) y) (+.f64 z x) #s(literal 1 binary64)) y)) #s(literal 1/2 binary64)))
	31.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 0 binary64) x)) x) x)) #s(literal 1/2 binary64)))
✓	35.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	35.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
	36.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (*.f64 z (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64)))))

Compiler

Compiled 792 to 514 computations (35.1% saved)

simplify232.0ms (3.6%)

Memory

13.7MiB live, 199.9MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	326
0	66	326
1	129	326
2	393	326
3	1538	314
4	6226	314
0	8044	301

Stop Event

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

Calls

Call 1

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

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

localize147.0ms (2.3%)

Memory

-0.4MiB live, 199.1MiB allocated; 19ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y (*.f64 (/.f64 z y) z))
accuracy	0.0	(.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64))
accuracy	0.1015625	(*.f64 (/.f64 z y) z)
accuracy	18.65399599216625	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64)))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
accuracy	0.0625	(fma.f64 (/.f64 x y) x y)
accuracy	22.87991961184899	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 y #s(literal 2 binary64))
accuracy	14.684671597620072	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 y y)) (.f64 y #s(literal 2 binary64)))
accuracy	39.326947174776514	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 y y))
accuracy	0.0	(*.f64 z z)
accuracy	0.0	(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
accuracy	5.104999481634962	(/.f64 (*.f64 z z) y)
accuracy	40.53404876735444	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
accuracy	0.0	#s(approx (+ (* (+ z x) (/ (- x z) y)) y) (*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x z) y) y) (+.f64 z x) #s(literal 1 binary64)) y))
accuracy	0.1171875	(/.f64 (/.f64 (-.f64 x z) y) y)
accuracy	1.2161094367884386	(fma.f64 (/.f64 (/.f64 (-.f64 x z) y) y) (+.f64 z x) #s(literal 1 binary64))
accuracy	2.83025760700642	(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x z) y) y) (+.f64 z x) #s(literal 1 binary64)) y)

Samples

113.0ms

256×

valid

Compiler

Compiled 238 to 36 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 65.0ms (68.5% of total)

ival-div: 11.0ms (11.6% of total)

ival-add: 10.0ms (10.5% of total)

ival-sub: 8.0ms (8.4% 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)

series81.0ms (1.3%)

Memory

-11.7MiB live, 134.6MiB allocated; 20ms collecting garbage

Counts

22 → 121

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	z	@	inf	((* (+ (* (/ (/ (- x z) y) y) (+ z x)) 1) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* y y) (* y 2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (* (/ z y) z)) 1/2) (- y (* (/ z y) z)) (* (/ z y) z) (+ (* (/ (/ (- x z) y) y) (+ z x)) 1) (/ (/ (- x z) y) y))
29.0ms	y	@	0	((* (+ (* (/ (/ (- x z) y) y) (+ z x)) 1) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* y y) (* y 2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (* (/ z y) z)) 1/2) (- y (* (/ z y) z)) (* (/ z y) z) (+ (* (/ (/ (- x z) y) y) (+ z x)) 1) (/ (/ (- x z) y) y))
3.0ms	y	@	-inf	((* (+ (* (/ (/ (- x z) y) y) (+ z x)) 1) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* y y) (* y 2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (* (/ z y) z)) 1/2) (- y (* (/ z y) z)) (* (/ z y) z) (+ (* (/ (/ (- x z) y) y) (+ z x)) 1) (/ (/ (- x z) y) y))
3.0ms	y	@	inf	((* (+ (* (/ (/ (- x z) y) y) (+ z x)) 1) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* y y) (* y 2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (* (/ z y) z)) 1/2) (- y (* (/ z y) z)) (* (/ z y) z) (+ (* (/ (/ (- x z) y) y) (+ z x)) 1) (/ (/ (- x z) y) y))
3.0ms	x	@	-inf	((* (+ (* (/ (/ (- x z) y) y) (+ z x)) 1) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* y y) (* y 2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (* (/ z y) z)) 1/2) (- y (* (/ z y) z)) (* (/ z y) z) (+ (* (/ (/ (- x z) y) y) (+ z x)) 1) (/ (/ (- x z) y) y))

simplify186.0ms (2.9%)

Memory

5.3MiB live, 284.9MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	383	1980
1	1304	1627
2	5739	1609
0	8238	1538

Stop Event

1×	iter limit
1×	node limit

Counts

121 → 120

Calls

Call 1

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

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

rewrite147.0ms (2.3%)

Memory

-16.7MiB live, 278.1MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	296
0	66	296
1	232	296
2	1968	296
0	9451	287

Stop Event

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

Counts

22 → 296

Calls

Call 1

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

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

eval50.0ms (0.8%)

Memory: 33.5MiB live, 123.2MiB allocated; 13ms collecting garbage
Compiler: Compiled 16 376 to 1 920 computations (88.3% saved)

prune43.0ms (0.7%)

Memory

-2.6MiB live, 54.1MiB allocated; 13ms collecting garbage

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	389	4	393
Fresh	2	5	7
Picked	3	2	5
Done	0	2	2
Total	394	13	407

Accuracy

100.0%

Counts

407 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.5%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z y) (.f64 y y))) (+.f64 z y))) (*.f64 y #s(literal 2 binary64)))
▶	64.5%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 y y (.f64 x x)) z) z) #s(literal 1 binary64)) z) z)) (.f64 y #s(literal 2 binary64)))
▶	18.2%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 y y)) (+.f64 y y))
▶	70.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) #s(literal 1/2 binary64)))
✓	64.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
✓	28.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
▶	36.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z y) (.f64 z #s(literal -1/2 binary64))))
	31.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
	31.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 0 binary64) x)) x) x)) #s(literal 1/2 binary64)))
▶	28.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (.f64 #s(approx (+ ( (/ (/ (- x z) y) y) (+ z x)) 1) (*.f64 x (/.f64 (/.f64 x y) y))) y)) #s(literal 1/2 binary64)))
✓	35.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	35.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
	36.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (*.f64 z (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64)))))

Compiler

Compiled 669 to 428 computations (36% saved)

simplify239.0ms (3.7%)

Memory

-20.5MiB live, 164.0MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f64 (-.f64 (/.f64 (/.f64 (fma.f64 y y (.f64 x x)) z) z) #s(literal 1 binary64)) z)
cost-diff	0	(.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) z) #s(literal 1 binary64)) z) z)
cost-diff	0	#s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) z) #s(literal 1 binary64)) z) z))
cost-diff	0	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 y y (.f64 x x)) z) z) #s(literal 1 binary64)) z) z)) (.f64 y #s(literal 2 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (/ (/ (- x z) y) y) (+ z x)) 1) (*.f64 x (/.f64 (/.f64 x y) y))) y)
cost-diff	0	#s(approx (+ (* (+ z x) (/ (- x z) y)) y) (.f64 #s(approx (+ ( (/ (/ (- x z) y) y) (+ z x)) 1) (*.f64 x (/.f64 (/.f64 x y) y))) y))
cost-diff	0	(.f64 #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (.f64 #s(approx (+ ( (/ (/ (- x z) y) y) (+ z x)) 1) (*.f64 x (/.f64 (/.f64 x y) y))) y)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (.f64 #s(approx (+ ( (/ (/ (- x z) y) y) (+ z x)) 1) (*.f64 x (/.f64 (/.f64 x y) y))) y)) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 z #s(literal -1/2 binary64))
cost-diff	0	(/.f64 z y)
cost-diff	0	(.f64 (/.f64 z y) (.f64 z #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z y) (.f64 z #s(literal -1/2 binary64))))
cost-diff	0	(+.f64 y y)
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 y y))
cost-diff	0	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 y y)) (+.f64 y y))
cost-diff	0	(/.f64 (neg.f64 z) y)
cost-diff	0	(fma.f64 (/.f64 (neg.f64 z) y) z y)
cost-diff	0	(*.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	454
0	77	447
1	153	447
2	444	447
3	1870	447
4	6561	447
0	8076	439

Stop Event

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

Calls

Call 1

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

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

localize137.0ms (2.1%)

Memory

41.2MiB live, 172.9MiB allocated; 25ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.0833480847755554	(.f64 (-.f64 (/.f64 (/.f64 (fma.f64 y y (.f64 x x)) z) z) #s(literal 1 binary64)) z)
accuracy	4.029110909650828	(.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) z) #s(literal 1 binary64)) z) z)
accuracy	6.714109181286976	(/.f64 (fma.f64 y y (*.f64 x x)) z)
accuracy	14.684671597620072	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 y y (.f64 x x)) z) z) #s(literal 1 binary64)) z) z)) (.f64 y #s(literal 2 binary64)))
accuracy	0.109375	(/.f64 (/.f64 x y) y)
accuracy	2.83025760700642	(.f64 #s(approx (+ ( (/ (/ (- x z) y) y) (+ z x)) 1) (*.f64 x (/.f64 (/.f64 x y) y))) y)
accuracy	3.0907996656513217	(*.f64 x (/.f64 (/.f64 x y) y))
accuracy	44.08032429562626	#s(approx (+ (* (/ (/ (- x z) y) y) (+ z x)) 1) (*.f64 x (/.f64 (/.f64 x y) y)))
accuracy	0.0	(/.f64 z y)
accuracy	0.0	(*.f64 z #s(literal -1/2 binary64))
accuracy	0.1015625	(.f64 (/.f64 z y) (.f64 z #s(literal -1/2 binary64)))
accuracy	40.53404876735444	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z y) (.f64 z #s(literal -1/2 binary64))))
accuracy	0.0	(+.f64 y y)
accuracy	0.0	(*.f64 y y)
accuracy	14.684671597620072	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 y y)) (+.f64 y y))
accuracy	39.326947174776514	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 y y))
accuracy	0.0	(*.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) #s(literal 1/2 binary64))
accuracy	0.0	(neg.f64 z)
accuracy	0.03515625	(fma.f64 (/.f64 (neg.f64 z) y) z y)
accuracy	18.65399599216625	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) #s(literal 1/2 binary64)))

Samples

113.0ms

256×

valid

Compiler

Compiled 302 to 45 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-div: 38.0ms (51% of total)

ival-mult: 23.0ms (30.9% of total)

ival-add: 8.0ms (10.7% of total)

ival-sub: 4.0ms (5.4% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

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

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

series100.0ms (1.6%)

Memory

-33.2MiB live, 121.6MiB allocated; 15ms collecting garbage

Counts

25 → 128

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	x	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (neg z) y) z) y) 1/2) (+ (* (/ (neg z) y) z) y) (/ (neg z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* y y) (+ y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ z y) (* z -1/2)) (/ z y) (* z -1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (* (+ (* (/ (/ (- x z) y) y) (+ z x)) 1) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (* (- (/ (/ (+ (* y y) (* x x)) z) z) 1) z) z) (* (- (/ (/ (+ (* y y) (* x x)) z) z) 1) z) (neg z) (+ (* (/ (/ (- x z) y) y) (+ z x)) 1) (* x (/ (/ x y) y)) (/ (/ x y) y) (/ (+ (* y y) (* x x)) z))
33.0ms	x	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (neg z) y) z) y) 1/2) (+ (* (/ (neg z) y) z) y) (/ (neg z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* y y) (+ y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ z y) (* z -1/2)) (/ z y) (* z -1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (* (+ (* (/ (/ (- x z) y) y) (+ z x)) 1) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (* (- (/ (/ (+ (* y y) (* x x)) z) z) 1) z) z) (* (- (/ (/ (+ (* y y) (* x x)) z) z) 1) z) (neg z) (+ (* (/ (/ (- x z) y) y) (+ z x)) 1) (* x (/ (/ x y) y)) (/ (/ x y) y) (/ (+ (* y y) (* x x)) z))
5.0ms	z	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (neg z) y) z) y) 1/2) (+ (* (/ (neg z) y) z) y) (/ (neg z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* y y) (+ y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ z y) (* z -1/2)) (/ z y) (* z -1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (* (+ (* (/ (/ (- x z) y) y) (+ z x)) 1) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (* (- (/ (/ (+ (* y y) (* x x)) z) z) 1) z) z) (* (- (/ (/ (+ (* y y) (* x x)) z) z) 1) z) (neg z) (+ (* (/ (/ (- x z) y) y) (+ z x)) 1) (* x (/ (/ x y) y)) (/ (/ x y) y) (/ (+ (* y y) (* x x)) z))
5.0ms	y	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (neg z) y) z) y) 1/2) (+ (* (/ (neg z) y) z) y) (/ (neg z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* y y) (+ y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ z y) (* z -1/2)) (/ z y) (* z -1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (* (+ (* (/ (/ (- x z) y) y) (+ z x)) 1) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (* (- (/ (/ (+ (* y y) (* x x)) z) z) 1) z) z) (* (- (/ (/ (+ (* y y) (* x x)) z) z) 1) z) (neg z) (+ (* (/ (/ (- x z) y) y) (+ z x)) 1) (* x (/ (/ x y) y)) (/ (/ x y) y) (/ (+ (* y y) (* x x)) z))
4.0ms	y	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (neg z) y) z) y) 1/2) (+ (* (/ (neg z) y) z) y) (/ (neg z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* y y) (+ y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ z y) (* z -1/2)) (/ z y) (* z -1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (* (+ (* (/ (/ (- x z) y) y) (+ z x)) 1) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (* (- (/ (/ (+ (* y y) (* x x)) z) z) 1) z) z) (* (- (/ (/ (+ (* y y) (* x x)) z) z) 1) z) (neg z) (+ (* (/ (/ (- x z) y) y) (+ z x)) 1) (* x (/ (/ x y) y)) (/ (/ x y) y) (/ (+ (* y y) (* x x)) z))

simplify178.0ms (2.8%)

Memory

-3.8MiB live, 223.4MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	397	2110
1	1336	1756
2	5929	1746
0	8526	1665

Stop Event

1×	iter limit
1×	node limit

Counts

128 → 127

Calls

Call 1

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

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

rewrite186.0ms (2.9%)

Memory

0.8MiB live, 200.9MiB allocated; 68ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	402
0	77	395
1	281	395
2	2446	395
0	8407	384

Stop Event

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

Counts

25 → 181

Calls

Call 1

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

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

eval57.0ms (0.9%)

Memory: 20.2MiB live, 74.9MiB allocated; 26ms collecting garbage
Compiler: Compiled 11 545 to 1 447 computations (87.5% saved)

prune39.0ms (0.6%)

Memory

-18.2MiB live, 28.4MiB allocated; 6ms collecting garbage

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	297	3	300
Fresh	0	4	4
Picked	2	3	5
Done	1	3	4
Total	300	13	313

Accuracy

100.0%

Counts

313 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.5%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z y) (.f64 y y))) (+.f64 z y))) (*.f64 y #s(literal 2 binary64)))
	58.0%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (.f64 (-.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1 binary64)) z) z)) (*.f64 y #s(literal 2 binary64)))
✓	18.2%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 y y)) (+.f64 y y))
	28.3%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y))
✓	70.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) #s(literal 1/2 binary64)))
✓	64.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
✓	36.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z y) (.f64 z #s(literal -1/2 binary64))))
	31.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
	31.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 0 binary64) x)) x) x)) #s(literal 1/2 binary64)))
	25.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (.f64 #s(approx (+ ( (/ (/ (- x z) y) y) (+ z x)) 1) (.f64 x (/.f64 x (.f64 y y)))) y)) #s(literal 1/2 binary64)))
✓	35.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	35.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
	36.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (*.f64 z (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64)))))

Compiler

Compiled 1 243 to 420 computations (66.2% saved)

regimes70.0ms (1.1%)

Memory

5.8MiB live, 52.0MiB allocated; 4ms collecting garbage

Counts

29 → 1

Calls

Call 1

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

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

Calls

6 calls:

32.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
8.0ms	y
8.0ms	z
8.0ms	x
7.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 z z)`
99.9%	1	`(*.f64 x x)`
99.9%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes31.0ms (0.5%)

Memory

-2.6MiB live, 42.0MiB allocated; 4ms collecting garbage

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

7.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
5.0ms	y
5.0ms	z
5.0ms	x
4.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
87.9%	3	`(*.f64 z z)`
92.4%	2	`(*.f64 x x)`
98.4%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
92.4%	2	`x`
87.9%	2	`y`
87.9%	3	`z`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes5.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
96.0%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes4.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
96.0%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes4.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
95.6%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes38.0ms (0.6%)

Memory

-1.8MiB live, 48.3MiB allocated; 14ms collecting garbage

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

10.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
6.0ms	y
6.0ms	x
5.0ms	z
5.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
56.8%	2	`(*.f64 z z)`
56.8%	2	`z`
64.5%	5	`y`
62.6%	4	`(*.f64 x x)`
64.3%	5	`x`
73.6%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes7.0ms (0.1%)

Memory

-34.2MiB live, 9.6MiB allocated; 5ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
73.2%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes4.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
70.4%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes17.0ms (0.3%)

Memory

26.8MiB live, 26.8MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

6 calls:

3.0ms	y
3.0ms	x
3.0ms	z
2.0ms	(*.f64 x x)
2.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
35.5%	1	`(*.f64 z z)`
35.5%	1	`z`
54.0%	2	`(*.f64 x x)`
54.0%	2	`x`
51.6%	2	`y`
39.5%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes27.0ms (0.4%)

Memory

-36.4MiB live, 9.9MiB allocated; 3ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
2.0ms	y
2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
35.5%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
35.5%	1	`y`
35.5%	1	`(*.f64 x x)`
35.5%	1	`x`

Compiler

Compiled 20 to 21 computations (-5% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.0194703883687255e-156	1.919450055183935e-150

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0194703883687255e-156	1.919450055183935e-150

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0194703883687255e-156	1.919450055183935e-150

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0683118097741254e-75	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.854118990347993e+148	9.579989579918466e+176
0.0ms	-1.0683118097741254e-75	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.854118990347993e+148	9.579989579918466e+176
0.0ms	-1.0683118097741254e-75	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.854118990347993e+148	9.579989579918466e+176
0.0ms	-1.0683118097741254e-75	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch17.0ms (0.3%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	7.468828356559217e+104	2.0068657892718606e+105

Samples

10.0ms

80×

valid

Compiler

Compiled 208 to 157 computations (24.5% saved)

Precisions

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

ival-mult: 4.0ms (66.9% of total)

ival-sub: 1.0ms (16.7% of total)

ival-div: 1.0ms (16.7% of total)

ival-add: 1.0ms (16.7% 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)

simplify72.0ms (1.1%)

Memory

13.7MiB live, 58.9MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	699
1	120	699
2	280	699
3	983	699
4	2909	699

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 7729075046034517/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 7729075046034517/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 7729075046034517/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1018517988167243/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z y) (.f64 z #s(literal -1/2 binary64)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1018517988167243/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z y) (.f64 z #s(literal -1/2 binary64)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 50000000000000002448836328757526028978611350176537194437252118729508413179669237808061576462363823189655653234075513838102671645933129260855113809920 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1018517988167243/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 50000000000000002448836328757526028978611350176537194437252118729508413179669237808061576462363823189655653234075513838102671645933129260855113809920 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1018517988167243/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 50000000000000002448836328757526028978611350176537194437252118729508413179669237808061576462363823189655653234075513838102671645933129260855113809920 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y))))
(if (<=.f64 x #s(literal 800000000000000001532540068587734988972764101812153608922242811679503459363191004768988916086544258826240 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 7729075046034517/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 7729075046034517/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 7729075046034517/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1018517988167243/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z y) (.f64 z #s(literal -1/2 binary64)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1018517988167243/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 z y) (.f64 z #s(literal -1/2 binary64)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 50000000000000002448836328757526028978611350176537194437252118729508413179669237808061576462363823189655653234075513838102671645933129260855113809920 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1018517988167243/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 50000000000000002448836328757526028978611350176537194437252118729508413179669237808061576462363823189655653234075513838102671645933129260855113809920 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -1018517988167243/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 50000000000000002448836328757526028978611350176537194437252118729508413179669237808061576462363823189655653234075513838102671645933129260855113809920 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y))))
(if (<=.f64 x #s(literal 800000000000000001532540068587734988972764101812153608922242811679503459363191004768988916086544258826240 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(approx (- (+ ( x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

derivations1.1s (17.8%)

Memory

-13.5MiB live, 649.5MiB allocated; 119ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	296
0	66	296
1	232	296
2	1968	296
0	9451	287
0	397	2110
1	1336	1756
2	5929	1746
0	8526	1665
0	309	1270
1	1042	1082
2	4206	1068
0	8374	1020
0	71	312
1	198	306
2	631	294
3	3428	292
0	8251	276
0	35	217
0	54	217
1	200	217
2	1729	217
0	9183	211

Stop Event

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

Compiler

Compiled 699 to 79 computations (88.7% saved)

preprocess95.0ms (1.5%)

Memory

32.9MiB live, 77.0MiB allocated; 6ms collecting garbage

Remove

(negabs y)

(abs x)

(abs z)

Compiler

Compiled 1 626 to 310 computations (80.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze58.0ms (0.9%)

sample1.2s (18.7%)

explain184.0ms (2.9%)

preprocess133.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify139.0ms (2.2%)

localize29.0ms (0.5%)

series9.0ms (0.1%)

simplify234.0ms (3.6%)

rewrite161.0ms (2.5%)

eval44.0ms (0.7%)

prune11.0ms (0.2%)

simplify192.0ms (3%)

localize142.0ms (2.2%)

series34.0ms (0.5%)

simplify214.0ms (3.3%)

rewrite200.0ms (3.1%)

eval62.0ms (1%)

prune19.0ms (0.3%)

simplify232.0ms (3.6%)

localize147.0ms (2.3%)

series81.0ms (1.3%)

simplify186.0ms (2.9%)

rewrite147.0ms (2.3%)

eval50.0ms (0.8%)

prune43.0ms (0.7%)

simplify239.0ms (3.7%)

localize137.0ms (2.1%)

series100.0ms (1.6%)

simplify178.0ms (2.8%)

rewrite186.0ms (2.9%)

eval57.0ms (0.9%)

prune39.0ms (0.6%)

regimes70.0ms (1.1%)

regimes31.0ms (0.5%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes38.0ms (0.6%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes17.0ms (0.3%)

regimes27.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch17.0ms (0.3%)

simplify72.0ms (1.1%)

derivations1.1s (17.8%)

preprocess95.0ms (1.5%)

end0.0ms (0%)

Profiling