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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze46.0ms (0.7%)

Memory

-17.3MiB live, 63.2MiB 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)

sample933.0ms (14.6%)

Memory

57.6MiB live, 1 387.0MiB allocated

Samples

599.0ms

8 256×

valid

Precisions

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

ival-mult: 239.0ms (61.7% of total)

ival-div: 55.0ms (14.2% of total)

ival-add: 45.0ms (11.6% of total)

ival-sub: 34.0ms (8.8% of total)

ival-true: 6.0ms (1.5% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 4.0ms (1% of total)

Bogosity

explain122.0ms (1.9%)

Memory

-15.3MiB live, 237.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
75	-	1	(-1.2988727741236546e-246 -2.896058322315948e-287 2.4518729717861808e-158)	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
22	-	0	-	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(*.f64 y #s(literal 2 binary64))`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	o/n	66	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	145
↳	`(*.f64 y y)`	overflow	67
↳	`(*.f64 x x)`	overflow	55
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	104
↳	`(*.f64 z z)`	overflow	63
`-.f64`	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	nan-rescue	22	0
↳	`(*.f64 y y)`	overflow	67
↳	`(*.f64 x x)`	overflow	55
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	104
↳	`(*.f64 z z)`	overflow	63
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	u/n	8	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	8
↳	`(*.f64 y y)`	underflow	68
↳	`(*.f64 x x)`	underflow	55
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	19
↳	`(*.f64 z z)`	underflow	68

Confusion

	Predicted +	Predicted -
+	87	1
-	0	168

Precision

1.0

Recall

0.9886363636363636

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	87	0	1
-	0	0	168

Precision?

1.0

Recall?

0.9886363636363636

Freqs

test

number	freq
0	169
1	78
2	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

43.0ms

512×

valid

Compiler

Compiled 117 to 37 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 18.0ms (67.6% of total)

ival-div: 3.0ms (11.3% of total)

ival-sub: 2.0ms (7.5% of total)

ival-add: 2.0ms (7.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess191.0ms (3%)

Memory

-7.7MiB live, 181.6MiB 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

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.4%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify144.0ms (2.3%)

Memory

-0.8MiB live, 155.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
0	18	49
1	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)

localize26.0ms (0.4%)

Memory

-1.8MiB live, 36.3MiB 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	4.7421730508114415	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
accuracy	17.450900821143083	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Samples

18.0ms

256×

valid

Compiler

Compiled 51 to 13 computations (74.5% saved)

Precisions

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

ival-mult: 6.0ms (58.8% of total)

ival-div: 2.0ms (19.6% of total)

ival-sub: 1.0ms (9.8% of total)

ival-add: 1.0ms (9.8% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

5 → 27

Calls

Call 1

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

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

Calls

9 calls:

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

simplify115.0ms (1.8%)

Memory

10.6MiB live, 128.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	286
1	198	286
2	572	260
3	2181	256
4	6052	252
0	8347	234

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

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

rewrite282.0ms (4.4%)

Memory

-21.3MiB live, 181.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
0	18	39
1	68	39
2	569	39
0	8351	36

Stop Event

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

Counts

5 → 536

Calls

Call 1

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

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

eval105.0ms (1.7%)

Memory: 11.9MiB live, 88.3MiB allocated
Compiler: Compiled 17 781 to 1 653 computations (90.7% saved)

prune35.0ms (0.5%)

Memory

-5.7MiB live, 33.3MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	544	9	553
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	545	9	554

Accuracy

100.0%

Counts

554 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.2%	(fma.f64 (neg.f64 z) (.f64 z (/.f64 #s(literal 1/2 binary64) y)) (.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
	31.8%	(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 z z)) (*.f64 y #s(literal 2 binary64)))
▶	50.1%	(/.f64 (-.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (.f64 #s(literal 2 binary64) y)) (.f64 (.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))))
▶	71.2%	(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
	69.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
▶	32.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
▶	67.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
▶	34.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
	29.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))

Compiler

Compiled 402 to 264 computations (34.3% saved)

simplify177.0ms (2.8%)

Memory

15.0MiB live, 133.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))
cost-diff	2	(.f64 (.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))
cost-diff	2	(-.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (.f64 #s(literal 2 binary64) y))
cost-diff	12	(/.f64 (-.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (.f64 #s(literal 2 binary64) y)) (.f64 (.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))))
cost-diff	0	(+.f64 z x)
cost-diff	0	(*.f64 (+.f64 z x) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
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 x x)
cost-diff	0	(/.f64 (*.f64 x x) y)
cost-diff	0	(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(-.f64 y z)
cost-diff	0	(+.f64 y z)
cost-diff	0	(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
cost-diff	0	(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	265
0	62	262
1	127	262
2	399	250
3	1942	242
0	8441	242

Stop Event

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

Calls

Call 1

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

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

localize118.0ms (1.8%)

Memory

13.7MiB live, 131.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.18359375	(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))
accuracy	4.3662432519041685	(.f64 (.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))
accuracy	10.351756311545353	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))
accuracy	21.881947545281353	(/.f64 (-.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (.f64 #s(literal 2 binary64) y)) (.f64 (.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))))
accuracy	0.0	(*.f64 (+.f64 z x) #s(literal 1/2 binary64))
accuracy	0.0078125	(/.f64 (-.f64 x z) y)
accuracy	0.125	(.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
accuracy	20.70583156352517	#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 x x)
accuracy	0.0078125	(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
accuracy	8.049389371026201	(/.f64 (*.f64 x x) y)
accuracy	40.35210873894473	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	41.86560445891026	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0.0	(+.f64 y z)
accuracy	0.0	(*.f64 x x)
accuracy	0.9999889904222409	(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
accuracy	17.462619571143083	(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))

Samples

95.0ms

256×

valid

Compiler

Compiled 249 to 37 computations (85.1% saved)

Precisions

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

ival-mult: 19.0ms (36.8% of total)

ival-add: 17.0ms (32.9% of total)

ival-div: 11.0ms (21.3% of total)

ival-sub: 5.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series64.0ms (1%)

Memory

-3.8MiB live, 41.3MiB allocated

Counts

20 → 118

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	x	@	0	((* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (+ y z) (- y z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (/ (- (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* 2 y)) (* (* 2 y) (* (/ 2 z) (/ y z)))) (- (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* 2 y)) (* (* 2 y) (* (/ 2 z) (/ y z))) (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (/ (- x z) y) (* (/ 2 z) (/ y z)))
11.0ms	z	@	0	((* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (+ y z) (- y z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (/ (- (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* 2 y)) (* (* 2 y) (* (/ 2 z) (/ y z)))) (- (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* 2 y)) (* (* 2 y) (* (/ 2 z) (/ y z))) (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (/ (- x z) y) (* (/ 2 z) (/ y z)))
8.0ms	y	@	0	((* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (+ y z) (- y z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (/ (- (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* 2 y)) (* (* 2 y) (* (/ 2 z) (/ y z)))) (- (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* 2 y)) (* (* 2 y) (* (/ 2 z) (/ y z))) (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (/ (- x z) y) (* (/ 2 z) (/ y z)))
6.0ms	y	@	inf	((* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (+ y z) (- y z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (/ (- (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* 2 y)) (* (* 2 y) (* (/ 2 z) (/ y z)))) (- (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* 2 y)) (* (* 2 y) (* (/ 2 z) (/ y z))) (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (/ (- x z) y) (* (/ 2 z) (/ y z)))
5.0ms	y	@	-inf	((* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (+ y z) (- y z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (/ (- (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* 2 y)) (* (* 2 y) (* (/ 2 z) (/ y z)))) (- (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* 2 y)) (* (* 2 y) (* (/ 2 z) (/ y z))) (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (/ (- x z) y) (* (/ 2 z) (/ y z)))

simplify243.0ms (3.8%)

Memory

-16.5MiB live, 94.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	381	1546
1	1247	1431
2	4227	1362
0	8527	1295

Stop Event

1×	iter limit
1×	node limit

Counts

118 → 115

Calls

Call 1

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

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

rewrite242.0ms (3.8%)

Memory

-1.2MiB live, 168.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	221
0	62	218
1	260	214
2	2380	214
0	8238	212

Stop Event

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

Counts

20 → 903

Calls

Call 1

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

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

eval248.0ms (3.9%)

Memory: 8.8MiB live, 242.4MiB allocated
Compiler: Compiled 39 756 to 3 954 computations (90.1% saved)

prune133.0ms (2.1%)

Memory

-4.5MiB live, 72.4MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 053	5	1 058
Fresh	2	2	4
Picked	2	3	5
Done	0	0	0
Total	1 057	10	1 067

Accuracy

100.0%

Counts

1 067 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.4%	(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1/2 binary64) y))
	67.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 (+.f64 x z) #s(literal 1/2 binary64)) (/.f64 y (-.f64 x z))))
▶	69.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
✓	32.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
▶	36.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
✓	67.5%	#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)))
▶	32.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
✓	34.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	29.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
▶	32.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)))

Compiler

Compiled 419 to 286 computations (31.7% saved)

simplify186.0ms (2.9%)

Memory

8.7MiB live, 123.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) x)
cost-diff	0	(.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
cost-diff	0	(*.f64 z z)
cost-diff	0	(/.f64 (*.f64 z z) y)
cost-diff	0	(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
cost-diff	0	(*.f64 (/.f64 z y) #s(literal -1/2 binary64))
cost-diff	0	(.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)
cost-diff	0	#s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)))
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	38	237
0	52	237
1	97	237
2	200	237
3	413	237
4	958	237
5	2305	237
6	5102	227
0	8397	222

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

localize127.0ms (2%)

Memory

-20.6MiB live, 77.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x y)
accuracy	0.0078125	(.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
accuracy	0.109375	(*.f64 (/.f64 x y) x)
accuracy	40.35210873894473	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.0	(*.f64 x x)
accuracy	8.080094714644321	(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
accuracy	40.35210873894473	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
accuracy	0.0	(*.f64 z z)
accuracy	0.01171875	(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
accuracy	8.633446515296539	(/.f64 (*.f64 z z) y)
accuracy	43.411738718999366	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
accuracy	0.00390625	(*.f64 (/.f64 z y) #s(literal -1/2 binary64))
accuracy	0.1640625	(.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)
accuracy	20.70583156352517	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)))
accuracy	31.506359711443086	#s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
accuracy	0.05859375	(fma.f64 (/.f64 x y) x y)
accuracy	19.84285065816656	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))

Samples

94.0ms

256×

valid

Compiler

Compiled 180 to 32 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 64.0ms (80.6% of total)

ival-div: 9.0ms (11.3% of total)

ival-add: 3.0ms (3.8% of total)

ival-sub: 2.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.6%)

Memory

-11.5MiB live, 27.0MiB allocated

Counts

19 → 43

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

Outputs
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 y)
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
y
(+ y (/ (pow x 2) y))
(/ x y)
(* -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)))))
(* 1/2 (/ (pow x 2) y))
(pow x 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 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* (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)))))
(* (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)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(/ (+ (pow x 2) (pow y 2)) y)
(* 1/2 (/ (* (+ x z) (- x z)) y))
(* -1/2 (/ z y))
(/ (pow z 2) y)
(/ 1/2 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))))
(* -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)))
(* 1/2 (/ (+ (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 (/ 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)
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -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
18.0ms	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)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (* (/ z y) -1/2) z) (* (/ z y) -1/2) (/ (- (+ (* 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) (/ 1/2 y)) (* x x) (/ 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x))
4.0ms	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)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (* (/ z y) -1/2) z) (* (/ z y) -1/2) (/ (- (+ (* 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) (/ 1/2 y)) (* x x) (/ 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x))
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)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (* (/ z y) -1/2) z) (* (/ z y) -1/2) (/ (- (+ (* 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) (/ 1/2 y)) (* x x) (/ 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x))
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)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (* (/ z y) -1/2) z) (* (/ z y) -1/2) (/ (- (+ (* 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) (/ 1/2 y)) (* x x) (/ 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x))
2.0ms	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)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (* (/ z y) -1/2) z) (* (/ z y) -1/2) (/ (- (+ (* 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) (/ 1/2 y)) (* x x) (/ 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x))

simplify198.0ms (3.1%)

Memory

36.7MiB live, 156.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	509
1	451	473
2	1489	415
3	5137	405
0	8172	385

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 42

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

rewrite216.0ms (3.4%)

Memory

6.5MiB live, 198.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	216
0	52	216
1	187	216
2	1344	216
0	8454	211

Stop Event

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

Counts

19 → 454

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

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

eval84.0ms (1.3%)

Memory: -25.7MiB live, 95.4MiB allocated
Compiler: Compiled 12 614 to 1 379 computations (89.1% saved)

prune23.0ms (0.4%)

Memory

0.1MiB live, 75.3MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	402	3	405
Fresh	1	1	2
Picked	0	5	5
Done	0	3	3
Total	403	12	415

Accuracy

100.0%

Counts

415 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.4%	(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1/2 binary64) y))
▶	36.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))
✓	69.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
✓	32.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
✓	36.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
✓	67.5%	#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)))
✓	32.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
✓	34.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	29.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
▶	32.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z))))
✓	32.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)))
▶	32.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 z (/.f64 #s(literal -1/2 binary64) y)) z)))

Compiler

Compiled 298 to 204 computations (31.5% saved)

simplify197.0ms (3.1%)

Memory

-4.5MiB live, 156.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	200
0	53	200
1	102	200
2	205	200
3	519	200
4	1427	200
5	2713	194
6	6113	194
0	8149	189

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

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

localize106.0ms (1.7%)

Memory

41.4MiB live, 193.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 (neg.f64 z) z)
accuracy	0.0	(neg.f64 z)
accuracy	17.462619571143083	(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1/2 binary64) y))
accuracy	41.91820434193769	#s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.15625	(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x))
accuracy	40.35210873894473	#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 y z)
accuracy	0.01171875	(*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z)))
accuracy	0.11328125	(/.f64 z (/.f64 y z))
accuracy	43.411738718999366	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z))))
accuracy	0.1640625	(.f64 (.f64 z (/.f64 #s(literal -1/2 binary64) y)) z)
accuracy	0.1953125	(*.f64 z (/.f64 #s(literal -1/2 binary64) y))
accuracy	20.70583156352517	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 z (/.f64 #s(literal -1/2 binary64) y)) z)))
accuracy	31.506359711443086	#s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 z (/.f64 #s(literal -1/2 binary64) y)) z))

Samples

89.0ms

256×

valid

Compiler

Compiled 148 to 37 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 22.0ms (38.4% of total)

ival-div: 18.0ms (31.4% of total)

ival-sub: 10.0ms (17.5% of total)

ival-add: 5.0ms (8.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.5%)

Memory

-28.2MiB live, 55.8MiB allocated

Counts

16 → 60

Calls

Call 1

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

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

Calls

9 calls:

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

simplify172.0ms (2.7%)

Memory

44.3MiB live, 264.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	223	782
1	738	710
2	2535	638
0	8461	608

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

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

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

rewrite272.0ms (4.3%)

Memory

-36.3MiB live, 237.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	182
0	53	182
1	217	182
2	1605	182
0	8234	177

Stop Event

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

Counts

16 → 369

Calls

Call 1

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

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

eval45.0ms (0.7%)

Memory: 2.8MiB live, 112.9MiB allocated
Compiler: Compiled 10 316 to 1 275 computations (87.6% saved)

prune23.0ms (0.4%)

Memory

4.1MiB live, 50.2MiB allocated

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	353	1	354
Fresh	0	0	0
Picked	1	3	4
Done	0	8	8
Total	354	12	366

Accuracy

100.0%

Counts

366 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	36.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))
✓	69.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
✓	32.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
✓	36.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
✓	67.5%	#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)))
✓	32.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
✓	34.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	29.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
✓	32.2%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z))))
	29.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z))))
✓	32.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)))
✓	32.1%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 z (/.f64 #s(literal -1/2 binary64) y)) z)))

Compiler

Compiled 773 to 324 computations (58.1% saved)

regimes313.0ms (4.9%)

Memory

-27.6MiB live, 85.2MiB allocated

Counts

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

Outputs

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

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

Calls

6 calls:

268.0ms	(*.f64 z z)
18.0ms	z
6.0ms	y
6.0ms	x
6.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
79.8%	2	`x`
96.8%	3	`y`
88.0%	2	`z`
96.8%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
79.8%	2	`(*.f64 x x)`
88.0%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes5.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB 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)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 z (/.f64 #s(literal -1/2 binary64) y)) z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
#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)))
(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.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 x z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))

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

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
96.8%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes4.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
96.3%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes4.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
96.2%	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)

regimes21.0ms (0.3%)

Memory

-14.8MiB live, 31.7MiB allocated

Counts

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

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

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

Calls

6 calls:

5.0ms	y
3.0ms	x
3.0ms	z
3.0ms	(*.f64 z z)
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
57.7%	4	`x`
55.5%	3	`(*.f64 x x)`
58.9%	3	`z`
58.9%	3	`(*.f64 z z)`
61.6%	4	`y`
69.9%	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)

regimes3.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

6 → 4

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

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)))
#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 x) (/.f64 #s(literal 1/2 binary64) 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
68.9%	4	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes3.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

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

Outputs

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

#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
62.1%	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

3.4MiB live, 3.4MiB 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)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (*.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) y)) z)))

Outputs

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

#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
62.1%	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)

regimes11.0ms (0.2%)

Memory

-21.0MiB live, 18.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
34.6%	1	`(*.f64 x x)`
34.6%	1	`x`
34.6%	1	`z`
34.6%	1	`(*.f64 z z)`
34.6%	1	`y`
34.6%	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

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.0617467242570912e-155

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.0617467242570912e-155

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0398000545282451e-44	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0398000545282451e-44	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0021828775966923e+152	8.185613623150471e+161
0.0ms	0.0	3.0617467242570912e-155

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.0773457151419765e+292	+inf
0.0ms	1.0021828775966923e+152	8.185613623150471e+161
0.0ms	0.0	3.0617467242570912e-155

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	0.0	3.0617467242570912e-155

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.0617467242570912e-155

Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify54.0ms (0.9%)

Memory

0.8MiB live, 39.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	81	688
1	115	688
2	195	688
3	435	688
4	1029	688
5	2427	688
6	5064	650

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 x z) #s(literal 1/2 binary64)) (/.f64 y (-.f64 x z)))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 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 -8034690221294951/803469022129495137770981046170581301261101496891396417650688 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z)))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -8034690221294951/803469022129495137770981046170581301261101496891396417650688 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 40000000000000000530263959134296650722746244358345840142528125911769970907617012858463917672157449998909498554263568363952491898600028103138206953210986926743629581261021098587444232750232858470317984807330649410342155342294546390088430246843766074240114997507336380714205155856460222902042624 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) 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 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))) #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 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 z (/.f64 #s(literal -1/2 binary64) y)) z))) #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 x z) #s(literal 1/2 binary64)) (/.f64 y (-.f64 x z)))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 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 -8034690221294951/803469022129495137770981046170581301261101496891396417650688 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z)))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -8034690221294951/803469022129495137770981046170581301261101496891396417650688 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 40000000000000000530263959134296650722746244358345840142528125911769970907617012858463917672157449998909498554263568363952491898600028103138206953210986926743629581261021098587444232750232858470317984807330649410342155342294546390088430246843766074240114997507336380714205155856460222902042624 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) 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 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))) (if (or (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) (not (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 40000000000000000530263959134296650722746244358345840142528125911769970907617012858463917672157449998909498554263568363952491898600028103138206953210986926743629581261021098587444232750232858470317984807330649410342155342294546390088430246843766074240114997507336380714205155856460222902042624 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 x) (/.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 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))) #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 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (.f64 (.f64 z (/.f64 #s(literal -1/2 binary64) y)) z))) #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))

soundness831.0ms (13%)

Memory

-21.3MiB live, 661.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	286
1	198	286
2	572	260
3	2181	256
4	6052	252
0	8347	234
0	38	216
0	52	216
1	187	216
2	1344	216
0	8454	211
0	38	221
0	62	218
1	260	214
2	2380	214
0	8238	212
0	381	1546
1	1247	1431
2	4227	1362
0	8527	1295

Stop Event

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

Compiler

Compiled 932 to 309 computations (66.8% saved)

preprocess168.0ms (2.6%)

Memory: 40.4MiB live, 316.2MiB allocated
Remove: (abs x)
Compiler: Compiled 2 126 to 542 computations (74.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze46.0ms (0.7%)

sample933.0ms (14.6%)

explain122.0ms (1.9%)

preprocess191.0ms (3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify144.0ms (2.3%)

localize26.0ms (0.4%)

series10.0ms (0.2%)

simplify115.0ms (1.8%)

rewrite282.0ms (4.4%)

eval105.0ms (1.7%)

prune35.0ms (0.5%)

simplify177.0ms (2.8%)

localize118.0ms (1.8%)

series64.0ms (1%)

simplify243.0ms (3.8%)

rewrite242.0ms (3.8%)

eval248.0ms (3.9%)

prune133.0ms (2.1%)

simplify186.0ms (2.9%)

localize127.0ms (2%)

series39.0ms (0.6%)

simplify198.0ms (3.1%)

rewrite216.0ms (3.4%)

eval84.0ms (1.3%)

prune23.0ms (0.4%)

simplify197.0ms (3.1%)

localize106.0ms (1.7%)

series30.0ms (0.5%)

simplify172.0ms (2.7%)

rewrite272.0ms (4.3%)

eval45.0ms (0.7%)

prune23.0ms (0.4%)

regimes313.0ms (4.9%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes21.0ms (0.3%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes11.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify54.0ms (0.9%)

soundness831.0ms (13%)

preprocess168.0ms (2.6%)

end0.0ms (0%)

Profiling