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

start0.0ms (0%)

Memory: 0.2MiB live, 0.1MiB allocated

analyze41.0ms (0.7%)

Memory

4.8MiB live, 82.4MiB 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)

sample985.0ms (17.8%)

Memory

8.5MiB live, 1 227.2MiB allocated

Samples

603.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 388.0ms

ival-mult: 223.0ms (57.4% of total)

ival-div: 72.0ms (18.5% of total)

ival-sub: 42.0ms (10.8% of total)

ival-add: 36.0ms (9.3% of total)

ival-true: 7.0ms (1.8% of total)

exact: 5.0ms (1.3% of total)

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

Bogosity

explain127.0ms (2.3%)

Memory

-9.6MiB live, 194.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
66	-	-	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
33	-	-	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0	-	-	`z`
0	-	-	`(*.f64 x x)`
0	-	-	`(*.f64 y #s(literal 2 binary64))`
0	-	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(*.f64 z z)`
0	-	-	`(*.f64 y y)`
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	62	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	141
↳	`(*.f64 y y)`	overflow	58
↳	`(*.f64 x x)`	overflow	62
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	103
↳	`(*.f64 z z)`	overflow	71
`-.f64`	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	nan-rescue	33	0
↳	`(*.f64 y y)`	overflow	58
↳	`(*.f64 x x)`	overflow	62
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	103
↳	`(*.f64 z z)`	overflow	71
`/.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	56
↳	`(*.f64 x x)`	underflow	59
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	15
↳	`(*.f64 z z)`	underflow	61

Confusion

	Predicted +	Predicted -
+	82	0
-	0	174

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	82	0	0
-	0	0	174

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	174
1	65
2	17

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms

512×

valid

Compiler

Compiled 166 to 48 computations (71.1% saved)

Precisions

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

ival-mult: 13.0ms (41.6% of total)

ival-add: 12.0ms (38.4% of total)

ival-div: 4.0ms (12.8% of total)

ival-sub: 2.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess216.0ms (3.9%)

Memory

11.6MiB live, 209.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	138
1	147	135
2	489	135
3	2201	135
4	6856	117
0	11	15
0	18	15
1	32	15
2	69	15
3	136	15
4	295	15
5	630	15
6	1515	13
7	3498	13
8	7949	13
0	8123	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 (-.f64 x z) y) (+.f64 z x) 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

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.3%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify148.0ms (2.7%)

Memory

-8.3MiB live, 185.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(*.f64 x x)
cost-diff	128	(+.f64 (.f64 x x) (.f64 y y))
cost-diff	128	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
0	18	49
1	32	49
2	69	49
3	136	49
4	295	49
5	630	49
6	1515	47
7	3498	47
8	7949	47
0	8123	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 (-.f64 x z) y) (+.f64 z x) 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)

localize27.0ms (0.5%)

Memory

11.1MiB live, 49.7MiB 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	7.136696044132265	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
accuracy	15.346113090979385	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Samples

19.0ms

256×

valid

Compiler

Compiled 100 to 24 computations (76% saved)

Precisions

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

ival-mult: 6.0ms (58% of total)

ival-div: 2.0ms (19.3% of total)

ival-sub: 1.0ms (9.7% of total)

ival-add: 1.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

-18.5MiB live, 20.3MiB allocated

Counts

6 → 27

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2))
2.0ms	y	@	inf	((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2))
1.0ms	x	@	inf	((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2))
1.0ms	x	@	0	((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2))
1.0ms	y	@	0	((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2))

simplify146.0ms (2.6%)

Memory

11.5MiB live, 176.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	286
1	198	286
2	573	260
3	2185	256
4	6059	252
0	8348	234

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

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

rewrite176.0ms (3.2%)

Memory

11.2MiB live, 254.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
0	18	42
1	68	42
2	569	42
0	8351	39

Stop Event

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

Counts

6 → 542

Calls

Call 1

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

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

eval56.0ms (1%)

Memory: -14.4MiB live, 103.8MiB allocated
Compiler: Compiled 17 881 to 1 674 computations (90.6% saved)

prune31.0ms (0.6%)

Memory

-8.6MiB live, 30.5MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	552	7	559
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	553	7	560

Accuracy

100.0%

Counts

560 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.2%	(/.f64 (-.f64 (.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) y) (.f64 y (.f64 (.f64 z z) #s(literal 1/2 binary64)))) (*.f64 y y))
▶	67.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
▶	29.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
▶	61.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
	65.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
▶	36.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	30.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))

Compiler

Compiled 326 to 222 computations (31.9% saved)

simplify167.0ms (3%)

Memory

21.1MiB live, 142.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	202
0	43	202
1	73	202
2	145	202
3	270	202
4	517	202
5	988	192
6	1952	192
7	4898	192
0	8138	187

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

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

localize63.0ms (1.1%)

Memory

-11.8MiB live, 98.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z z)
accuracy	0.00390625	(-.f64 y (/.f64 (*.f64 z z) y))
accuracy	9.25990215132616	(/.f64 (*.f64 z z) y)
accuracy	19.901331501569995	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
accuracy	7.92007918386494	(/.f64 (*.f64 x x) y)
accuracy	42.654803021594894	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 z z)
accuracy	0.00390625	(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
accuracy	9.25990215132616	(/.f64 (*.f64 z z) y)
accuracy	42.39694380567981	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	40.59099576179462	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
accuracy	0.0390625	(fma.f64 (/.f64 x y) x y)
accuracy	21.084901217301137	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))

Samples

43.0ms

256×

valid

Compiler

Compiled 369 to 56 computations (84.8% saved)

Precisions

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

ival-mult: 14.0ms (54.3% of total)

ival-div: 6.0ms (23.3% of total)

ival-sub: 2.0ms (7.8% of total)

ival-add: 2.0ms (7.8% of total)

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

exact: 0.0ms (0% of total)

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

series51.0ms (0.9%)

Memory

-15.5MiB live, 31.5MiB allocated

Counts

17 → 40

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
32.0ms	z	@	inf	((/ (- (+ (* 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)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)))
3.0ms	x	@	inf	((/ (- (+ (* 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)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)))
3.0ms	y	@	-inf	((/ (- (+ (* 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)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)))
3.0ms	y	@	inf	((/ (- (+ (* 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)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)))
3.0ms	y	@	0	((/ (- (+ (* 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)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)))

simplify139.0ms (2.5%)

Memory

34.0MiB live, 142.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	391
1	289	391
2	787	349
3	2771	349
4	6102	349
0	8092	329

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 39

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

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

rewrite222.0ms (4%)

Memory

-3.8MiB live, 237.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	180
0	43	180
1	147	180
2	1133	180
0	8687	175

Stop Event

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

Counts

17 → 368

Calls

Call 1

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

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

eval122.0ms (2.2%)

Memory: -25.0MiB live, 141.2MiB allocated
Compiler: Compiled 13 644 to 1 484 computations (89.1% saved)

prune14.0ms (0.2%)

Memory

33.8MiB live, 33.8MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	422	3	425
Fresh	1	1	2
Picked	0	5	5
Done	0	0	0
Total	423	9	432

Accuracy

100.0%

Counts

432 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))
✓	67.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
✓	29.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
▶	33.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64))))
✓	61.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
▶	65.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
▶	33.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
✓	36.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	30.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))

Compiler

Compiled 210 to 145 computations (31% saved)

simplify276.0ms (5%)

Memory

-1.1MiB live, 119.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y x)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))
cost-diff	-384	(.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64))))
cost-diff	0	(/.f64 (-.f64 x z) y)
cost-diff	0	(+.f64 z x)
cost-diff	0	(*.f64 (+.f64 z x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
cost-diff	0	(/.f64 z y)
cost-diff	0	(*.f64 #s(literal -1/2 binary64) z)
cost-diff	0	(.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	175
0	45	175
1	86	175
2	176	175
3	390	175
4	944	175
5	2287	175
6	5085	167
0	8457	163

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

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

localize102.0ms (1.8%)

Memory

-21.8MiB live, 54.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.12109375	(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x))
accuracy	42.654803021594894	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0.10546875	(.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64)))
accuracy	42.654803021594894	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64))))
accuracy	0.0	(*.f64 (+.f64 z x) #s(literal 1/2 binary64))
accuracy	0.0234375	(/.f64 (-.f64 x z) y)
accuracy	0.12890625	(.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
accuracy	21.929982488168363	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
accuracy	0.0	(/.f64 z y)
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	0.14453125	(.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))
accuracy	42.39694380567981	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))

Samples

76.0ms

256×

valid

Compiler

Compiled 316 to 60 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 47.0ms (76.2% of total)

ival-div: 9.0ms (14.6% of total)

ival-sub: 2.0ms (3.2% of total)

ival-add: 2.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.5%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

17 → 50

Calls

Call 1

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

Calls

9 calls:

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

simplify185.0ms (3.3%)

Memory

14.5MiB live, 127.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	493
1	529	443
2	1695	393
3	5671	375
0	8492	367

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 48

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

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

rewrite232.0ms (4.2%)

Memory

-13.2MiB live, 147.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	159
0	45	159
1	164	159
2	1194	159
0	8390	155

Stop Event

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

Counts

17 → 663

Calls

Call 1

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

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

eval191.0ms (3.5%)

Memory: 7.9MiB live, 174.2MiB allocated
Compiler: Compiled 19 734 to 2 198 computations (88.9% saved)

prune37.0ms (0.7%)

Memory

-0.7MiB live, 35.8MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	607	1	608
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	607	10	617

Accuracy

100.0%

Counts

617 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	33.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))
✓	67.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
✓	29.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
✓	33.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64))))
✓	61.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
✓	65.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
▶	52.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (.f64 (-.f64 (/.f64 y z) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 y z))))))
✓	33.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
✓	36.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	30.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))

Compiler

Compiled 249 to 168 computations (32.5% saved)

simplify163.0ms (2.9%)

Memory

10.3MiB live, 164.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (.f64 (-.f64 (/.f64 y z) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 y z)))))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (.f64 (-.f64 (/.f64 y z) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 y z))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y z)))
cost-diff	2432	(.f64 (-.f64 (/.f64 y z) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 y z))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	121
0	32	121
1	67	115
2	193	115
3	939	89
4	5050	89
0	8389	88

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

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

localize58.0ms (1.1%)

Memory

-1.7MiB live, 36.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.1640563074906176	(-.f64 (/.f64 y z) (/.f64 y x))
accuracy	3.0268113078032437	(*.f64 (/.f64 y x) (/.f64 y z))
accuracy	21.929982488168363	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (.f64 (-.f64 (/.f64 y z) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 y z))))))
accuracy	23.461168950529068	(.f64 (-.f64 (/.f64 y z) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 y z))))

Samples

47.0ms

256×

valid

Compiler

Compiled 220 to 47 computations (78.6% saved)

Precisions

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

ival-mult: 11.0ms (48.4% of total)

ival-div: 6.0ms (26.4% of total)

ival-sub: 2.0ms (8.8% of total)

ival-add: 2.0ms (8.8% of total)

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

exact: 0.0ms (0% of total)

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

series128.0ms (2.3%)

Memory

-28.0MiB live, 57.2MiB allocated

Counts

6 → 44

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
58.0ms	y	@	-inf	((* (- (/ y z) (/ y x)) (/ 1 (* (/ y x) (/ y z)))) (/ 1 (* (/ y x) (/ y z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (* (- (/ y z) (/ y x)) (/ 1 (* (/ y x) (/ y z))))) (* (/ y x) (/ y z)) (- (/ y z) (/ y x)))
47.0ms	x	@	inf	((* (- (/ y z) (/ y x)) (/ 1 (* (/ y x) (/ y z)))) (/ 1 (* (/ y x) (/ y z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (* (- (/ y z) (/ y x)) (/ 1 (* (/ y x) (/ y z))))) (* (/ y x) (/ y z)) (- (/ y z) (/ y x)))
4.0ms	y	@	0	((* (- (/ y z) (/ y x)) (/ 1 (* (/ y x) (/ y z)))) (/ 1 (* (/ y x) (/ y z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (* (- (/ y z) (/ y x)) (/ 1 (* (/ y x) (/ y z))))) (* (/ y x) (/ y z)) (- (/ y z) (/ y x)))
3.0ms	x	@	0	((* (- (/ y z) (/ y x)) (/ 1 (* (/ y x) (/ y z)))) (/ 1 (* (/ y x) (/ y z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (* (- (/ y z) (/ y x)) (/ 1 (* (/ y x) (/ y z))))) (* (/ y x) (/ y z)) (- (/ y z) (/ y x)))
3.0ms	z	@	0	((* (- (/ y z) (/ y x)) (/ 1 (* (/ y x) (/ y z)))) (/ 1 (* (/ y x) (/ y z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (* (- (/ y z) (/ y x)) (/ 1 (* (/ y x) (/ y z))))) (* (/ y x) (/ y z)) (- (/ y z) (/ y x)))

simplify122.0ms (2.2%)

Memory

27.1MiB live, 99.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	576
1	522	550
2	1799	463
3	5449	413
0	8508	399

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 44

Calls

Call 1

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

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

rewrite193.0ms (3.5%)

Memory

0.5MiB live, 119.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	102
0	32	96
1	151	94
2	1440	94
0	8547	93

Stop Event

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

Counts

6 → 572

Calls

Call 1

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

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

eval139.0ms (2.5%)

Memory: -19.8MiB live, 116.6MiB allocated
Compiler: Compiled 26 863 to 2 922 computations (89.1% saved)

prune41.0ms (0.7%)

Memory

9.6MiB live, 46.2MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	596	1	597
Fresh	0	0	0
Picked	1	0	1
Done	0	9	9
Total	597	10	607

Accuracy

100.0%

Counts

607 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	33.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))
✓	67.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
✓	29.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
✓	33.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64))))
✓	61.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64)))
✓	65.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
	27.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (.f64 #s(approx (- (/ y z) (/ y x)) (/.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 y z))))))
✓	33.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
✓	36.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	30.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))

Compiler

Compiled 582 to 246 computations (57.7% saved)

regimes50.0ms (0.9%)

Memory

2.9MiB live, 41.2MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

30.0ms	(*.f64 x x)
4.0ms	y
4.0ms	z
4.0ms	x
4.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
87.5%	3	`x`
92.3%	3	`y`
89.4%	3	`z`
94.7%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
87.5%	3	`(*.f64 x x)`
89.4%	3	`(*.f64 z z)`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes3.0ms (0.1%)

Memory

4.4MiB live, 4.5MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

#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:

2.0ms

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

Results

Accuracy	Segments	Branch
94.4%	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)

regimes28.0ms (0.5%)

Memory

-31.2MiB live, 20.4MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

17.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
60.3%	3	`x`
60.3%	3	`(*.f64 x x)`
59.3%	3	`z`
59.3%	3	`(*.f64 z z)`
61.8%	5	`y`
73.4%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes2.0ms (0%)

Memory

3.2MiB live, 3.2MiB 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))

#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) z) (/.f64 z y)))

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

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
63.9%	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)

regimes2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#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) (/.f64 (.f64 z z) y)))

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
62.5%	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)

regimes7.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB 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	x
1.0ms	z
1.0ms	y
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
36.6%	1	`y`
36.6%	1	`(*.f64 z z)`
36.6%	1	`z`
36.6%	1	`x`
36.6%	1	`(*.f64 x x)`
36.6%	1	`(/.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)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.331366889395104e-133

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.331366889395104e-133

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.8617549036239177e+152	1.1655476310313337e+155
0.0ms	0.0	3.331366889395104e-133

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.331366889395104e-133

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.559575160905205e-99	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify80.0ms (1.4%)

Memory

-3.7MiB live, 70.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	54	374
1	74	374
2	123	374
3	193	374
4	359	374
5	722	374
6	1654	350
7	4010	350
8	7381	350

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))) #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 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) #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 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) #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 -2462625387274655/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 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 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Outputs
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))) #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 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) #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 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) #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 -2462625387274655/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 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 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

soundness577.0ms (10.4%)

Memory

-15.4MiB live, 304.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	180
0	43	180
1	147	180
2	1133	180
0	8687	175
0	72	286
1	198	286
2	573	260
3	2185	256
4	6059	252
0	8348	234

Stop Event

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

Compiler

Compiled 524 to 189 computations (63.9% saved)

preprocess140.0ms (2.5%)

Memory: 0.3MiB live, 157.9MiB allocated
Remove: (abs z)
Compiler: Compiled 1 498 to 484 computations (67.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze41.0ms (0.7%)

sample985.0ms (17.8%)

explain127.0ms (2.3%)

preprocess216.0ms (3.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify148.0ms (2.7%)

localize27.0ms (0.5%)

series12.0ms (0.2%)

simplify146.0ms (2.6%)

rewrite176.0ms (3.2%)

eval56.0ms (1%)

prune31.0ms (0.6%)

simplify167.0ms (3%)

localize63.0ms (1.1%)

series51.0ms (0.9%)

simplify139.0ms (2.5%)

rewrite222.0ms (4%)

eval122.0ms (2.2%)

prune14.0ms (0.2%)

simplify276.0ms (5%)

localize102.0ms (1.8%)

series26.0ms (0.5%)

simplify185.0ms (3.3%)

rewrite232.0ms (4.2%)

eval191.0ms (3.5%)

prune37.0ms (0.7%)

simplify163.0ms (2.9%)

localize58.0ms (1.1%)

series128.0ms (2.3%)

simplify122.0ms (2.2%)

rewrite193.0ms (3.5%)

eval139.0ms (2.5%)

prune41.0ms (0.7%)

regimes50.0ms (0.9%)

regimes3.0ms (0.1%)

regimes28.0ms (0.5%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify80.0ms (1.4%)

soundness577.0ms (10.4%)

preprocess140.0ms (2.5%)

end0.0ms (0%)

Profiling