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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze102.0ms (1.5%)

Memory

-50.9MiB live, 116.0MiB allocated

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)

sample1.3s (18.9%)

Memory

50.4MiB live, 1 876.3MiB allocated

Samples

943.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 713.0ms

ival-mult: 391.0ms (54.9% of total)

ival-div: 189.0ms (26.5% of total)

ival-sub: 78.0ms (10.9% of total)

ival-add: 40.0ms (5.6% of total)

ival-true: 6.0ms (0.8% of total)

exact: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain139.0ms (2.1%)

Memory

7.5MiB live, 335.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
61	-	1	(2.104165572377332e-208 -7.305147338120052e-272 6.837969081421287e-160)	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
33	-	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	56	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	149
↳	`(*.f64 y y)`	overflow	57
↳	`(*.f64 x x)`	overflow	65
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	100
↳	`(*.f64 z z)`	overflow	82
`-.f64`	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	nan-rescue	33	0
↳	`(*.f64 y y)`	overflow	57
↳	`(*.f64 x x)`	overflow	65
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	100
↳	`(*.f64 z z)`	overflow	82
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	u/n	4	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	4
↳	`(*.f64 y y)`	underflow	70
↳	`(*.f64 x x)`	underflow	59
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	18
↳	`(*.f64 z z)`	underflow	62

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	61
2	16

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms

512×

valid

Compiler

Compiled 117 to 37 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 15.0ms (57.5% of total)

ival-sub: 4.0ms (15.3% of total)

ival-div: 4.0ms (15.3% of total)

ival-add: 3.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess197.0ms (2.9%)

Memory

8.6MiB live, 209.9MiB allocated

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.8%	(/.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)

simplify114.0ms (1.7%)

Memory

15.3MiB live, 109.1MiB allocated

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)

localize31.0ms (0.5%)

Memory

-14.6MiB live, 30.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y #s(literal 2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	7.492150344943705	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
accuracy	14.087190539418755	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Samples

24.0ms

256×

valid

Compiler

Compiled 51 to 13 computations (74.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 10.0ms (67.5% of total)

ival-div: 2.0ms (13.5% of total)

ival-sub: 1.0ms (6.7% of total)

ival-add: 1.0ms (6.7% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

5 → 27

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)
(*.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)))
(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))
(* 2 y)
(* 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) (* y 2))
1.0ms	x	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (* y 2))
1.0ms	x	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (* y 2))
1.0ms	y	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (* y 2))
1.0ms	y	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (* y 2))

simplify300.0ms (4.4%)

Memory

-22.0MiB live, 311.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	315
1	201	309
2	634	297
3	3432	295
0	8259	279

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

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))
(* 2 y)
(* 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))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 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 (fma.f64 y y (.f64 x x)) z) z) #s(literal 1 binary64)) (*.f64 z z))

rewrite255.0ms (3.8%)

Memory

-11.5MiB live, 296.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
0	18	39
1	76	39
2	745	39
0	8750	36

Stop Event

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

Counts

5 → 322

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)
(*.f64 y #s(literal 2 binary64))

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))))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 y y) (.f64 y y)) (-.f64 y y))
(/.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 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 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 y y)

eval43.0ms (0.6%)

Memory: 7.9MiB live, 108.1MiB allocated
Compiler: Compiled 10 844 to 1 364 computations (87.4% saved)

prune14.0ms (0.2%)

Memory

-4.8MiB live, 41.6MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	333	13	346
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	334	13	347

Accuracy

100.0%

Counts

347 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.5%	(/.f64 (fma.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(literal 2 binary64) y) (.f64 (.f64 #s(literal 2 binary64) y) (.f64 (neg.f64 z) z))) (.f64 #s(literal 4 binary64) (*.f64 y y)))
	22.3%	(/.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)))
	49.7%	(/.f64 (-.f64 #s(approx (+ (* x x) (* y y)) (.f64 y y)) (.f64 z z)) (*.f64 y #s(literal 2 binary64)))
▶	50.2%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (-.f64 y z) (+.f64 z y))) (.f64 y #s(literal 2 binary64)))
	19.9%	(+.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) (.f64 #s(literal 2 binary64) y))) (/.f64 (.f64 (.f64 (neg.f64 z) z) (.f64 z z)) (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) (.f64 #s(literal 2 binary64) y))))
	71.6%	#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))
▶	61.0%	#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)))
	31.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
	60.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
	71.5%	#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)))
▶	29.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
	35.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))

Compiler

Compiled 692 to 420 computations (39.3% saved)

simplify185.0ms (2.7%)

Memory

13.1MiB live, 241.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	1	(.f64 (.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 z) z))
cost-diff	3	(fma.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(literal 2 binary64) y) (.f64 (.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 z) z)))
cost-diff	6	(/.f64 (fma.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(literal 2 binary64) y) (.f64 (.f64 #s(literal 2 binary64) y) (.f64 (neg.f64 z) z))) (.f64 #s(literal 4 binary64) (*.f64 y y)))
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 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 #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: 2 (0.0ms)

Iter	Nodes	Cost
0	41	275
0	67	270
1	145	262
2	522	255
3	3609	255
0	8209	255

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

localize133.0ms (2%)

Memory

-5.4MiB live, 184.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.029628759768442016	(.f64 #s(literal 4 binary64) (.f64 y y))
accuracy	7.806051775786527	(.f64 (.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 z) z))
accuracy	12.226452052570373	(fma.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(literal 2 binary64) y) (.f64 (.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 z) z)))
accuracy	26.405278678510072	(/.f64 (fma.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(literal 2 binary64) y) (.f64 (.f64 #s(literal 2 binary64) y) (.f64 (neg.f64 z) z))) (.f64 #s(literal 4 binary64) (*.f64 y y)))
accuracy	0.0	(*.f64 y #s(literal 2 binary64))
accuracy	0.00390625	(*.f64 (-.f64 y z) (+.f64 z y))
accuracy	14.087190539418755	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (-.f64 y z) (+.f64 z y))) (.f64 y #s(literal 2 binary64)))
accuracy	17.911226423278784	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 y z) (+.f64 z y)))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
accuracy	0.078125	(fma.f64 (/.f64 x y) x y)
accuracy	24.900539846088176	#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 #s(literal 1/2 binary64) y)
accuracy	45.16336392467277	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
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	0.01171875	(/.f64 (-.f64 x z) y)
accuracy	0.08773215476030194	(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)

Samples

87.0ms

256×

valid

Compiler

Compiled 244 to 38 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-add: 25.0ms (40.8% of total)

ival-mult: 24.0ms (39.2% of total)

ival-div: 6.0ms (9.8% of total)

ival-sub: 4.0ms (6.5% of total)

ival-neg: 1.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

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

series69.0ms (1%)

Memory

-5.3MiB live, 96.7MiB allocated

Counts

21 → 128

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 (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)
(/.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 (fma.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(literal 2 binary64) y) (.f64 (.f64 #s(literal 2 binary64) y) (.f64 (neg.f64 z) z))) (.f64 #s(literal 4 binary64) (*.f64 y y)))
(fma.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(literal 2 binary64) y) (.f64 (.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 z) z)))
(.f64 (.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 z) z))
(fma.f64 y y (*.f64 x x))
(/.f64 (-.f64 x z) y)
(*.f64 y #s(literal 2 binary64))
(.f64 #s(literal 4 binary64) (.f64 y y))

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

Calls

9 calls:

Time	Variable		Point	Expression
32.0ms	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 y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (/ (+ (* (+ (* y y) (* x x)) (* 2 y)) (* (* 2 y) (* (neg z) z))) (* 4 (* y y))) (+ (* (+ (* y y) (* x x)) (* 2 y)) (* (* 2 y) (* (neg z) z))) (* (* 2 y) (* (neg z) z)) (+ (* y y) (* x x)) (/ (- x z) y) (* y 2) (* 4 (* y y)))
7.0ms	z	@	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 y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (/ (+ (* (+ (* y y) (* x x)) (* 2 y)) (* (* 2 y) (* (neg z) z))) (* 4 (* y y))) (+ (* (+ (* y y) (* x x)) (* 2 y)) (* (* 2 y) (* (neg z) z))) (* (* 2 y) (* (neg z) z)) (+ (* y y) (* x x)) (/ (- x z) y) (* y 2) (* 4 (* y y)))
5.0ms	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 y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (/ (+ (* (+ (* y y) (* x x)) (* 2 y)) (* (* 2 y) (* (neg z) z))) (* 4 (* y y))) (+ (* (+ (* y y) (* x x)) (* 2 y)) (* (* 2 y) (* (neg z) z))) (* (* 2 y) (* (neg z) z)) (+ (* y y) (* x x)) (/ (- x z) y) (* y 2) (* 4 (* y y)))
5.0ms	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 y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (/ (+ (* (+ (* y y) (* x x)) (* 2 y)) (* (* 2 y) (* (neg z) z))) (* 4 (* y y))) (+ (* (+ (* y y) (* x x)) (* 2 y)) (* (* 2 y) (* (neg z) z))) (* (* 2 y) (* (neg z) z)) (+ (* y y) (* x x)) (/ (- x z) y) (* y 2) (* 4 (* y y)))
5.0ms	x	@	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 y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (/ (+ (* (+ (* y y) (* x x)) (* 2 y)) (* (* 2 y) (* (neg z) z))) (* 4 (* y y))) (+ (* (+ (* y y) (* x x)) (* 2 y)) (* (* 2 y) (* (neg z) z))) (* (* 2 y) (* (neg z) z)) (+ (* y y) (* x x)) (/ (- x z) y) (* y 2) (* 4 (* y y)))

simplify167.0ms (2.5%)

Memory

35.2MiB live, 263.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	398	1747
1	1371	1523
2	5632	1502
0	8304	1434

Stop Event

1×	iter limit
1×	node limit

Counts

128 → 125

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

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

rewrite229.0ms (3.4%)

Memory

-32.6MiB live, 302.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	237
0	67	232
1	260	224
2	2409	224
0	8450	224

Stop Event

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

Counts

21 → 579

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 (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)
(/.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 (fma.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(literal 2 binary64) y) (.f64 (.f64 #s(literal 2 binary64) y) (.f64 (neg.f64 z) z))) (.f64 #s(literal 4 binary64) (*.f64 y y)))
(fma.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(literal 2 binary64) y) (.f64 (.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 z) z)))
(.f64 (.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 z) z))
(fma.f64 y y (*.f64 x x))
(/.f64 (-.f64 x z) y)
(*.f64 y #s(literal 2 binary64))
(.f64 #s(literal 4 binary64) (.f64 y y))

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

eval119.0ms (1.8%)

Memory: 17.0MiB live, 169.1MiB allocated
Compiler: Compiled 26 740 to 2 825 computations (89.4% saved)

prune25.0ms (0.4%)

Memory

9.7MiB live, 54.2MiB allocated

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	680	10	690
Fresh	3	5	8
Picked	3	2	5
Done	0	0	0
Total	686	17	703

Accuracy

100.0%

Counts

703 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.3%	(/.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)))
	49.7%	(/.f64 (-.f64 #s(approx (+ (* x x) (* y y)) (.f64 y y)) (.f64 z z)) (*.f64 y #s(literal 2 binary64)))
▶	50.2%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 y z) (+.f64 z y))) (+.f64 y y))
	31.8%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
	22.4%	(/.f64 #s(approx (+ (* (+ (* y y) (* x x)) (* 2 y)) (* (* 2 y) (* (neg z) z))) (.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 y y)))
	46.0%	(/.f64 #s(approx (+ (* (+ (* y y) (* x x)) (* 2 y)) (* (* 2 y) (* (neg z) z))) (.f64 (.f64 #s(literal -2 binary64) (fma.f64 z z (.f64 (neg.f64 x) x))) y)) (.f64 #s(literal 4 binary64) (*.f64 y y)))
	19.9%	(+.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) (.f64 #s(literal 2 binary64) y))) (/.f64 (.f64 (.f64 (neg.f64 z) z) (.f64 z z)) (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) (.f64 #s(literal 2 binary64) y))))
▶	99.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
✓	61.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
▶	71.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 (.f64 y x) (.f64 z y)) (.f64 y y)) y) #s(literal 1/2 binary64)))
	92.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal 1 binary64)) y) x)) y) #s(literal 1/2 binary64)))
	60.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
	39.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
	67.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ z x) (/ (- x z) y)) y) (-.f64 y (fma.f64 z (/.f64 z y) #s(literal 0 binary64)))) #s(literal 1/2 binary64)))
✓	29.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	35.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
▶	39.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z)))

Compiler

Compiled 971 to 594 computations (38.8% saved)

simplify133.0ms (2%)

Memory

-6.1MiB live, 181.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 (.f64 y x) (.f64 z y)) (.f64 y 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 (.f64 y x) (.f64 z y)) (.f64 y y)) y) #s(literal 1/2 binary64)))
cost-diff	2	(-.f64 (.f64 y x) (.f64 z y))
cost-diff	4	(/.f64 (-.f64 (.f64 y x) (.f64 z y)) (*.f64 y y))
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 y))
cost-diff	0	(.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z)
cost-diff	0	#s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z)))
cost-diff	2	(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y))
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	(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z) (/.f64 (-.f64 x z) y) y)
cost-diff	0	(*.f64 (fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z) (/.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 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
cost-diff	3	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	372
0	80	328
1	159	322
2	498	322
3	2214	322
0	9145	316

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

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

localize125.0ms (1.9%)

Memory

-27.1MiB live, 168.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 (.f64 y x) (.f64 z y)) (.f64 y y)) y) #s(literal 1/2 binary64)))
accuracy	0.08773215476030194	(fma.f64 (+.f64 z x) (/.f64 (-.f64 (.f64 y x) (.f64 z y)) (*.f64 y y)) y)
accuracy	3.597639736641647	(-.f64 (.f64 y x) (.f64 z y))
accuracy	25.338878818792807	(/.f64 (-.f64 (.f64 y x) (.f64 z y)) (*.f64 y y))
accuracy	0.0	(+.f64 y y)
accuracy	0.00390625	(*.f64 (-.f64 y z) (+.f64 z y))
accuracy	14.087190539418755	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 y z) (+.f64 z y))) (+.f64 y y))
accuracy	17.911226423278784	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 y z) (+.f64 z y)))
accuracy	0.0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z)))
accuracy	0.12109375	(.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z)
accuracy	0.19921875	(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z)
accuracy	38.73798720221915	#s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z))
accuracy	0.0	(*.f64 z z)
accuracy	0.00390625	(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
accuracy	9.290760023037093	(/.f64 (*.f64 z z) y)
accuracy	38.73798720221915	#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 (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
accuracy	0.01171875	(/.f64 (-.f64 x z) y)
accuracy	0.08773215476030194	(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z) (/.f64 (-.f64 x z) y) y)
accuracy	0.25390625	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)

Samples

71.0ms

256×

valid

Compiler

Compiled 288 to 46 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 24.0ms (49.3% of total)

ival-div: 9.0ms (18.5% of total)

ival-add: 8.0ms (16.4% of total)

ival-sub: 6.0ms (12.3% of total)

ival-sqrt: 2.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.6%)

Memory

4.1MiB live, 49.8MiB allocated

Counts

24 → 122

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((+ (* (sqrt x) (sqrt x)) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ (* (sqrt x) (sqrt x)) z) (/ (- x z) y)) y) 1/2) (+ (* (+ (* (sqrt x) (sqrt x)) z) (/ (- x z) y)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (- 0 (/ 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (* (- 0 (/ 1/2 y)) z) z) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (/ (- (* y x) (* z y)) (* y y)) (- (* y x) (* z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- (* y x) (* z y)) (* y y))) y) 1/2) (/ (- x z) y) (* (- 0 (/ 1/2 y)) z) (+ y y) (+ (* (+ z x) (/ (- (* y x) (* z y)) (* y y))) y))
7.0ms	z	@	-inf	((+ (* (sqrt x) (sqrt x)) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ (* (sqrt x) (sqrt x)) z) (/ (- x z) y)) y) 1/2) (+ (* (+ (* (sqrt x) (sqrt x)) z) (/ (- x z) y)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (- 0 (/ 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (* (- 0 (/ 1/2 y)) z) z) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (/ (- (* y x) (* z y)) (* y y)) (- (* y x) (* z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- (* y x) (* z y)) (* y y))) y) 1/2) (/ (- x z) y) (* (- 0 (/ 1/2 y)) z) (+ y y) (+ (* (+ z x) (/ (- (* y x) (* z y)) (* y y))) y))
5.0ms	y	@	-inf	((+ (* (sqrt x) (sqrt x)) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ (* (sqrt x) (sqrt x)) z) (/ (- x z) y)) y) 1/2) (+ (* (+ (* (sqrt x) (sqrt x)) z) (/ (- x z) y)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (- 0 (/ 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (* (- 0 (/ 1/2 y)) z) z) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (/ (- (* y x) (* z y)) (* y y)) (- (* y x) (* z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- (* y x) (* z y)) (* y y))) y) 1/2) (/ (- x z) y) (* (- 0 (/ 1/2 y)) z) (+ y y) (+ (* (+ z x) (/ (- (* y x) (* z y)) (* y y))) y))
3.0ms	y	@	0	((+ (* (sqrt x) (sqrt x)) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ (* (sqrt x) (sqrt x)) z) (/ (- x z) y)) y) 1/2) (+ (* (+ (* (sqrt x) (sqrt x)) z) (/ (- x z) y)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (- 0 (/ 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (* (- 0 (/ 1/2 y)) z) z) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (/ (- (* y x) (* z y)) (* y y)) (- (* y x) (* z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- (* y x) (* z y)) (* y y))) y) 1/2) (/ (- x z) y) (* (- 0 (/ 1/2 y)) z) (+ y y) (+ (* (+ z x) (/ (- (* y x) (* z y)) (* y y))) y))
3.0ms	y	@	inf	((+ (* (sqrt x) (sqrt x)) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ (* (sqrt x) (sqrt x)) z) (/ (- x z) y)) y) 1/2) (+ (* (+ (* (sqrt x) (sqrt x)) z) (/ (- x z) y)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (- 0 (/ 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (* (- 0 (/ 1/2 y)) z) z) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* (- y z) (+ z y)) (- y z) (/ (- (* y x) (* z y)) (* y y)) (- (* y x) (* z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- (* y x) (* z y)) (* y y))) y) 1/2) (/ (- x z) y) (* (- 0 (/ 1/2 y)) z) (+ y y) (+ (* (+ z x) (/ (- (* y x) (* z y)) (* y y))) y))

simplify171.0ms (2.5%)

Memory

33.0MiB live, 126.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	378	1548
1	1308	1284
2	5467	1260
0	8224	1210

Stop Event

1×	iter limit
1×	node limit

Counts

122 → 119

Calls

Call 1

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

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

rewrite205.0ms (3%)

Memory

-3.7MiB live, 129.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	332
0	80	289
1	308	282
2	2634	282
0	8400	272

Stop Event

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

Counts

24 → 580

Calls

Call 1

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

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

eval161.0ms (2.4%)

Memory: -16.7MiB live, 177.4MiB allocated
Compiler: Compiled 22 507 to 2 613 computations (88.4% saved)

prune26.0ms (0.4%)

Memory

10.8MiB live, 71.3MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	539	7	546
Fresh	5	5	10
Picked	2	3	5
Done	0	2	2
Total	546	17	563

Accuracy

100.0%

Counts

563 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.3%	(/.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)))
▶	50.0%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (fma.f64 y y (*.f64 (neg.f64 z) z))) (+.f64 y y))
✓	50.2%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 y z) (+.f64 z y))) (+.f64 y y))
	17.0%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 y y)) (+.f64 y y))
▶	31.8%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y))
	46.0%	(/.f64 #s(approx (+ (* (+ (* y y) (* x x)) (* 2 y)) (* (* 2 y) (* (neg z) z))) (.f64 (.f64 #s(literal -2 binary64) (fma.f64 z z (.f64 (neg.f64 x) x))) y)) (.f64 #s(literal 4 binary64) (*.f64 y y)))
	19.9%	(+.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) (.f64 #s(literal 2 binary64) y))) (/.f64 (.f64 (.f64 (neg.f64 z) z) (.f64 z z)) (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) (.f64 #s(literal 2 binary64) y))))
✓	99.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
✓	61.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
	43.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (+.f64 z x) (/.f64 #s(approx (- ( y x) (* z y)) (.f64 y x)) (.f64 y y)) y) #s(literal 1/2 binary64)))
▶	92.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- ( y x) (* z y)) (* y y)) (*.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal 1 binary64)) y) x)) y) #s(literal 1/2 binary64)))
▶	60.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
	39.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
	67.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(approx (+ ( (+ (* (sqrt x) (sqrt x)) z) (/ (- x z) y)) y) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) z y)) #s(literal 1/2 binary64)))
✓	29.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	35.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
▶	39.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)))

Compiler

Compiled 896 to 533 computations (40.5% saved)

simplify153.0ms (2.3%)

Memory

-8.5MiB live, 218.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	389
0	76	389
1	149	381
2	446	366
3	1687	358
4	6909	352
0	8532	343

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

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

localize110.0ms (1.6%)

Memory

7.5MiB live, 149.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 z)
accuracy	2.261693978450042	(fma.f64 y y (*.f64 (neg.f64 z) z))
accuracy	14.087190539418755	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (fma.f64 y y (*.f64 (neg.f64 z) z))) (+.f64 y y))
accuracy	17.911226423278784	#s(approx (- (+ (* x x) (* y y)) (* z z)) (fma.f64 y y (*.f64 (neg.f64 z) z)))
accuracy	0.0	(*.f64 z z)
accuracy	0.014872480164287516	(-.f64 y (/.f64 (*.f64 z z) y))
accuracy	9.290760023037093	(/.f64 (*.f64 z z) y)
accuracy	20.534885722829753	#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	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)))
accuracy	0.12109375	(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)
accuracy	0.19921875	(*.f64 (/.f64 #s(literal -1/2 binary64) y) z)
accuracy	38.73798720221915	#s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))
accuracy	0.0	(+.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	14.087190539418755	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y))
accuracy	39.00530957786014	#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x))
accuracy	0.00390625	(fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal 1 binary64))
accuracy	0.08773215476030194	(fma.f64 (+.f64 z x) #s(approx (/ (- (* y x) (* z y)) (* y y)) (*.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal 1 binary64)) y) x)) y)
accuracy	2.160104869367177	(/.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal 1 binary64)) y)
accuracy	5.774198595687391	(*.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal 1 binary64)) y) x)

Samples

71.0ms

256×

valid

Compiler

Compiled 270 to 46 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 25.0ms (47.7% of total)

ival-div: 12.0ms (22.9% of total)

ival-add: 9.0ms (17.2% of total)

ival-sub: 4.0ms (7.6% of total)

exact: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

series33.0ms (0.5%)

Memory

20.2MiB live, 66.2MiB allocated

Counts

24 → 103

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	((+ (* (/ z x) -1) 1) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- (* y x) (* z y)) (* y y))) y) 1/2) (+ (* (+ z x) (/ (- (* y x) (* z y)) (* y y))) y) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (+ y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (* (/ -1/2 y) z) z) (* (/ -1/2 y) z) (/ (- (+ (* 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 y)) (- (+ (* x x) (* y y)) (* z z)) (+ (* y y) (* (neg z) z)) (* (neg z) z) (* (/ (+ (* (/ z x) -1) 1) y) x) (/ (+ (* (/ z x) -1) 1) y) (* z z) (neg z))
4.0ms	y	@	-inf	((+ (* (/ z x) -1) 1) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- (* y x) (* z y)) (* y y))) y) 1/2) (+ (* (+ z x) (/ (- (* y x) (* z y)) (* y y))) y) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (+ y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (* (/ -1/2 y) z) z) (* (/ -1/2 y) z) (/ (- (+ (* 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 y)) (- (+ (* x x) (* y y)) (* z z)) (+ (* y y) (* (neg z) z)) (* (neg z) z) (* (/ (+ (* (/ z x) -1) 1) y) x) (/ (+ (* (/ z x) -1) 1) y) (* z z) (neg z))
4.0ms	y	@	0	((+ (* (/ z x) -1) 1) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- (* y x) (* z y)) (* y y))) y) 1/2) (+ (* (+ z x) (/ (- (* y x) (* z y)) (* y y))) y) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (+ y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (* (/ -1/2 y) z) z) (* (/ -1/2 y) z) (/ (- (+ (* 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 y)) (- (+ (* x x) (* y y)) (* z z)) (+ (* y y) (* (neg z) z)) (* (neg z) z) (* (/ (+ (* (/ z x) -1) 1) y) x) (/ (+ (* (/ z x) -1) 1) y) (* z z) (neg z))
4.0ms	z	@	inf	((+ (* (/ z x) -1) 1) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- (* y x) (* z y)) (* y y))) y) 1/2) (+ (* (+ z x) (/ (- (* y x) (* z y)) (* y y))) y) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (+ y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (* (/ -1/2 y) z) z) (* (/ -1/2 y) z) (/ (- (+ (* 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 y)) (- (+ (* x x) (* y y)) (* z z)) (+ (* y y) (* (neg z) z)) (* (neg z) z) (* (/ (+ (* (/ z x) -1) 1) y) x) (/ (+ (* (/ z x) -1) 1) y) (* z z) (neg z))
3.0ms	z	@	-inf	((+ (* (/ z x) -1) 1) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- (* y x) (* z y)) (* y y))) y) 1/2) (+ (* (+ z x) (/ (- (* y x) (* z y)) (* y y))) y) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (+ y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (* (* (/ -1/2 y) z) z) (* (/ -1/2 y) z) (/ (- (+ (* 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 y)) (- (+ (* x x) (* y y)) (* z z)) (+ (* y y) (* (neg z) z)) (* (neg z) z) (* (/ (+ (* (/ z x) -1) 1) y) x) (/ (+ (* (/ z x) -1) 1) y) (* z z) (neg z))

simplify227.0ms (3.4%)

Memory

-37.5MiB live, 214.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	1382
1	943	1187
2	3825	1168
0	8388	1121

Stop Event

1×	iter limit
1×	node limit

Counts

103 → 102

Calls

Call 1

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

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

rewrite148.0ms (2.2%)

Memory

3.9MiB live, 190.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	339
0	76	339
1	288	321
2	2397	321
0	9629	309

Stop Event

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

Counts

24 → 307

Calls

Call 1

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

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

eval53.0ms (0.8%)

Memory: -7.9MiB live, 95.5MiB allocated
Compiler: Compiled 17 807 to 1 936 computations (89.1% saved)

prune23.0ms (0.3%)

Memory

5.6MiB live, 51.8MiB allocated

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	419	2	421
Fresh	1	6	7
Picked	1	4	5
Done	0	5	5
Total	421	17	438

Accuracy

100.0%

Counts

438 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.3%	(/.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)))
✓	50.0%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (fma.f64 y y (*.f64 (neg.f64 z) z))) (+.f64 y y))
✓	50.2%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 y z) (+.f64 z y))) (+.f64 y y))
	17.0%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 y y)) (+.f64 y y))
✓	31.8%	(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y))
	46.0%	(/.f64 #s(approx (+ (* (+ (* y y) (* x x)) (* 2 y)) (* (* 2 y) (* (neg z) z))) (.f64 (.f64 #s(literal -2 binary64) (fma.f64 z z (.f64 (neg.f64 x) x))) y)) (.f64 #s(literal 4 binary64) (*.f64 y y)))
	19.9%	(+.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) (.f64 #s(literal 2 binary64) y))) (/.f64 (.f64 (.f64 (neg.f64 z) z) (.f64 z z)) (.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) (.f64 #s(literal 2 binary64) y))))
✓	99.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) z) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
✓	61.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
	43.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (+.f64 z x) (/.f64 #s(approx (- ( y x) (* z y)) (.f64 y x)) (.f64 y y)) y) #s(literal 1/2 binary64)))
	59.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- ( y x) (* z y)) (* y y)) (.f64 (/.f64 #s(approx (+ ( (/ z x) -1) 1) (/.f64 (neg.f64 z) x)) y) x)) y) #s(literal 1/2 binary64)))
✓	60.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
	67.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64)))
	39.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
✓	29.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	35.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
✓	39.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)))

Compiler

Compiled 1 475 to 502 computations (66% saved)

regimes56.0ms (0.8%)

Memory

-0.1MiB live, 92.3MiB allocated

Counts

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

13.0ms	(*.f64 z z)
10.0ms	y
9.0ms	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)

regimes30.0ms (0.4%)

Memory

38.4MiB live, 38.4MiB allocated

Counts

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

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)))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
88.3%	2	`(*.f64 z z)`
85.0%	2	`(*.f64 x x)`
97.0%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
85.0%	2	`x`
88.6%	3	`y`
90.2%	3	`z`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes3.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

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

Outputs

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

#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
92.3%	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)

regimes22.0ms (0.3%)

Memory

-21.4MiB live, 32.0MiB allocated

Counts

8 → 4

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

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

Calls

6 calls:

8.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
3.0ms	z
3.0ms	y
3.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
52.3%	2	`(*.f64 x x)`
52.3%	2	`x`
60.7%	5	`y`
58.8%	2	`(*.f64 z z)`
62.3%	3	`z`
74.4%	4	`(/.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)

regimes2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

5 → 4

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
74.4%	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)

regimes13.0ms (0.2%)

Memory

-23.6MiB live, 21.0MiB allocated

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
(/.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))

Calls

6 calls:

5.0ms	y
2.0ms	(*.f64 x x)
2.0ms	z
2.0ms	x
1.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
45.3%	2	`(*.f64 x x)`
45.3%	2	`x`
47.7%	2	`y`
34.6%	2	`(*.f64 z z)`
40.0%	4	`z`
38.9%	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)

regimes6.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

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

6 calls:

1.0ms	y
1.0ms	z
1.0ms	x
1.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
29.4%	1	`(*.f64 z z)`
29.4%	1	`z`
29.4%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
29.4%	1	`(*.f64 x x)`
29.4%	1	`x`
29.4%	1	`y`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-5.386612407395844e-107	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.386612407395844e-107	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.3553438723144004e+147	4.278013324812343e+152
0.0ms	-5.386612407395844e-107	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.3553438723144004e+147	4.278013324812343e+152
0.0ms	-5.386612407395844e-107	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch19.0ms (0.3%)

Memory

-13.9MiB live, 30.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.1048384924909105e+62	1.1437257541835055e+67

Samples

12.0ms

144×

valid

Compiler

Compiled 360 to 269 computations (25.3% saved)

Precisions

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

ival-mult: 3.0ms (51.5% of total)

ival-sub: 1.0ms (17.2% of total)

ival-div: 1.0ms (17.2% of total)

ival-add: 1.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify46.0ms (0.7%)

Memory

7.5MiB live, 53.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	572
1	122	572
2	311	572
3	1122	572
4	3506	572

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 -8263199609878107/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) 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 +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 y (.f64 (/.f64 z y) 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 -8263199609878107/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))) #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 -8263199609878107/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 1999999999999999955992764811315320348729647778935602161544506489938527878458214984853852098846521027939536536831074154937676864613462292790727671808 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (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)) (/.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 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -8263199609878107/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 1999999999999999955992764811315320348729647778935602161544506489938527878458214984853852098846521027939536536831074154937676864613462292790727671808 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (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)) (/.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)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))))))
(if (<=.f64 y #s(literal 114999999999999992038649020104572348113390222092299453830529024 binary64)) (/.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)))
#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 -8263199609878107/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (.f64 (/.f64 z y) 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 +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 y (.f64 (/.f64 z y) z)) #s(literal 1/2 binary64)))))
(if (or (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -8263199609878107/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) (not (<=.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 (-.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 -8263199609878107/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))) #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 -8263199609878107/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 1999999999999999955992764811315320348729647778935602161544506489938527878458214984853852098846521027939536536831074154937676864613462292790727671808 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (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)) (/.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 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -8263199609878107/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 1999999999999999955992764811315320348729647778935602161544506489938527878458214984853852098846521027939536536831074154937676864613462292790727671808 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (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)) (/.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)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))))))
(if (<=.f64 y #s(literal 114999999999999992038649020104572348113390222092299453830529024 binary64)) (/.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)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

soundness1.4s (20.5%)

Memory

11.7MiB live, 772.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	378	1548
1	1308	1284
2	5467	1260
0	8224	1210
0	41	237
0	67	232
1	260	224
2	2409	224
0	8450	224
0	52	332
0	80	289
1	308	282
2	2634	282
0	8400	272
0	53	339
0	76	339
1	288	321
2	2397	321
0	9629	309
0	398	1747
1	1371	1523
2	5632	1502
0	8304	1434
0	72	315
1	201	309
2	634	297
3	3432	295
0	8259	279

Stop Event

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

Compiler

Compiled 950 to 330 computations (65.3% saved)

preprocess146.0ms (2.2%)

Memory

-8.7MiB live, 94.3MiB allocated

Remove

(negabs y)

(abs x)

(abs z)

Compiler

Compiled 1 372 to 302 computations (78% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze102.0ms (1.5%)

sample1.3s (18.9%)

explain139.0ms (2.1%)

preprocess197.0ms (2.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify114.0ms (1.7%)

localize31.0ms (0.5%)

series10.0ms (0.2%)

simplify300.0ms (4.4%)

rewrite255.0ms (3.8%)

eval43.0ms (0.6%)

prune14.0ms (0.2%)

simplify185.0ms (2.7%)

localize133.0ms (2%)

series69.0ms (1%)

simplify167.0ms (2.5%)

rewrite229.0ms (3.4%)

eval119.0ms (1.8%)

prune25.0ms (0.4%)

simplify133.0ms (2%)

localize125.0ms (1.9%)

series39.0ms (0.6%)

simplify171.0ms (2.5%)

rewrite205.0ms (3%)

eval161.0ms (2.4%)

prune26.0ms (0.4%)

simplify153.0ms (2.3%)

localize110.0ms (1.6%)

series33.0ms (0.5%)

simplify227.0ms (3.4%)

rewrite148.0ms (2.2%)

eval53.0ms (0.8%)

prune23.0ms (0.3%)

regimes56.0ms (0.8%)

regimes30.0ms (0.4%)

regimes3.0ms (0.1%)

regimes22.0ms (0.3%)

regimes2.0ms (0%)

regimes13.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch19.0ms (0.3%)

simplify46.0ms (0.7%)

soundness1.4s (20.5%)

preprocess146.0ms (2.2%)

end0.0ms (0%)

Profiling