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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze98.0ms (1.8%)

Memory

-7.8MiB live, 224.9MiB 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
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
30.8%	25%	56.2%	0.1%	0%	18.7%	0%	7
30.8%	25%	56.2%	0.1%	0%	18.7%	0%	8
32%	25%	53%	0.1%	0%	21.8%	0%	9
55.8%	37.4%	29.6%	0.1%	0%	32.8%	0%	10
55.8%	37.4%	29.6%	0.1%	0%	32.8%	0%	11
57.8%	37.4%	27.3%	0.1%	0%	35.1%	0%	12

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.1s (20.8%)

Memory

-82.6MiB live, 1 412.9MiB allocated

Samples

486.0ms	8 256×	0	valid
320.0ms	2 457×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 368.0ms

ival-mult: 229.0ms (62.3% of total)

ival-sqrt: 72.0ms (19.6% of total)

ival-sub: 55.0ms (15% of total)

ival-true: 8.0ms (2.2% of total)

ival-assert: 4.0ms (1.1% of total)

Bogosity

explain87.0ms (1.6%)

Memory

-12.7MiB live, 147.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
126	-	-	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
12	-	-	`(-.f64 (.f64 y y) (.f64 z z))`
0	-	-	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
0	-	-	`y`
0	-	-	`(*.f64 z z)`
0	-	-	`(*.f64 y y)`
0	-	-	`z`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`	oflow-rescue	106	0
↳	`(*.f64 y y)`	overflow	106
↳	`(-.f64 (.f64 y y) (.f64 z z))`	overflow	106
↳	`(*.f64 z z)`	overflow	12
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`	uflow-rescue	20	0
↳	`(*.f64 y y)`	underflow	20
↳	`(-.f64 (.f64 y y) (.f64 z z))`	underflow	20
↳	`(*.f64 z z)`	underflow	101
`-.f64`	`(-.f64 (.f64 y y) (.f64 z z))`	nan-rescue	12	0
↳	`(*.f64 y y)`	overflow	106
↳	`(*.f64 z z)`	overflow	12

Confusion

	Predicted +	Predicted -
+	84	0
-	42	130

Precision

0.6666666666666666

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	84	0	0
-	42	0	130

Precision?

0.6666666666666666

Recall?

1.0

Freqs

test

number	freq
0	130
1	114
2	12

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 82 to 28 computations (65.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 10.0ms (61.2% of total)

ival-sqrt: 3.0ms (18.4% of total)

ival-sub: 2.0ms (12.2% of total)

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

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

preprocess532.0ms (10%)

Memory

-8.4MiB live, 309.5MiB allocated

Algorithm

1×	egg-herbie

Rules

24 584×	`lower-fma.f64`
24 584×	`lower-fma.f32`
5 200×	`lower-+.f64`
5 200×	`lower-+.f32`
4 138×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	93
1	108	93
2	221	93
3	608	93
4	1655	93
5	2753	93
6	3995	93
7	4670	93
8	5262	93
9	5561	93
10	5651	93
11	5747	93
12	5811	93
13	6963	93
14	7539	93
15	7635	93
16	7731	93
17	7827	93
18	7827	93
0	8	10
0	13	10
1	22	10
2	33	10
3	59	10
4	123	10
5	324	10
6	579	10
7	1254	10
8	2514	10
9	4177	10
10	5039	10
11	5408	10
12	5638	10
13	5752	10
14	5752	10
15	6712	10
16	6872	10
17	7192	10
18	7192	10
19	7592	10
20	7752	10
21	7832	10
22	7832	10
23	7832	10
0	10485	10

Stop Event

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

Calls

Call 1

Inputs
(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))

Outputs
(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)

Symmetry

(abs z)

(abs y)

(negabs x)

Compiler

Compiled 10 to 8 computations (20% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.6%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify349.0ms (6.6%)

Memory

31.7MiB live, 183.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

24 584×	`lower-fma.f64`
24 584×	`lower-fma.f32`
5 200×	`lower-+.f64`
5 200×	`lower-+.f32`
4 138×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
0	13	34
1	22	34
2	33	34
3	59	34
4	123	34
5	324	34
6	579	34
7	1254	34
8	2514	34
9	4177	34
10	5039	34
11	5408	34
12	5638	34
13	5752	34
14	5752	34
15	6712	34
16	6872	34
17	7192	34
18	7192	34
19	7592	34
20	7752	34
21	7832	34
22	7832	34
23	7832	34
0	10485	34

Stop Event

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

Calls

Call 1

Inputs
(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
x
(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 y y) (.f64 z z))
(*.f64 y y)
y
(*.f64 z z)
z

Outputs
(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
x
(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
(-.f64 (.f64 y y) (.f64 z z))
(*.f64 (-.f64 y z) (+.f64 z y))
(*.f64 y y)
y
(*.f64 z z)
z

localize36.0ms (0.7%)

Memory

-9.2MiB live, 29.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.00390625	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
accuracy	2.3984375	(-.f64 (.f64 y y) (.f64 z z))
accuracy	29.351577313548056	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

Samples

15.0ms

256×

valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (65.1% of total)

ival-sqrt: 2.0ms (26% of total)

ival-sub: 1.0ms (13% of total)

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

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

series17.0ms (0.3%)

Memory

-23.7MiB live, 21.2MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())
#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())

Outputs
#s(alt (pow y 2) (taylor 0 z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (pow y 2)) (taylor 0 z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (pow y 2)) (taylor 0 z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (pow y 2)) (taylor 0 z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y)) (taylor 0 z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3)))))) (taylor 0 z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))))))) (taylor 0 z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1/2 (/ (pow z 2) y))) (taylor 0 z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ y (* (pow z 2) (- (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y))))) (taylor 0 z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) (taylor 0 z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor inf z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (* z (sqrt -1))) (taylor inf z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))) (taylor inf z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) (taylor inf z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) (taylor inf z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* z (sqrt -1)) (taylor inf z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))) (taylor inf z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))) (taylor inf z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))) (taylor inf z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor -inf z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) (taylor -inf z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) (taylor -inf z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) (taylor -inf z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* z (sqrt -1)))) (taylor -inf z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) (taylor -inf z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) (taylor -inf z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))) (taylor -inf z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sqrt -1))) (taylor -inf z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))) (taylor -inf z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))) (taylor -inf z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))))) (taylor -inf z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) (pow z 2)) (taylor 0 y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) (pow z 2)) (taylor 0 y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) (pow z 2)) (taylor 0 y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (* z (sqrt -1))) (taylor 0 y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1)))) (taylor 0 y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* -1/8 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ x (* z (sqrt -1))))))) (taylor 0 y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* 1/2 (/ x (* z (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (/ x (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* x (pow y 2)) (* (pow z 5) (pow (sqrt -1) 5))))))))) (taylor 0 y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* z (sqrt -1)) (taylor 0 y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (pow y 2) (* z (sqrt -1)))) (* z (sqrt -1))) (taylor 0 y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (sqrt -1)) (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* z (sqrt -1))))))) (taylor 0 y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (sqrt -1)) (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (* (pow z 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow z 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* z (sqrt -1))))))) (taylor 0 y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) (taylor inf y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) (taylor inf y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) (taylor inf y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))) (taylor inf y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4)))))) (taylor inf y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6))))))) (taylor inf y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2))))) (taylor inf y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4)))))) (taylor inf y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6))))))) (taylor inf y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) (taylor -inf y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) (taylor -inf y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) (taylor -inf y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))) (taylor -inf y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))) (taylor -inf y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))) (taylor -inf y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2)))))) (taylor -inf y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4))))))) (taylor -inf y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6)))))))) (taylor -inf y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor 0 x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor 0 x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor 0 x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor 0 x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor inf x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor inf x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor inf x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor inf x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify222.0ms (4.2%)

Memory

15.1MiB live, 210.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 108×	`lower-fma.f64`
13 108×	`lower-fma.f32`
5 990×	`lower-*.f64`
5 990×	`lower-*.f32`
3 530×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1489
1	648	1483
2	2455	1426
3	7928	1426
0	8162	1349

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

Inputs
(pow y 2)
(+ (* -1 (pow z 2)) (pow y 2))
(+ (* -1 (pow z 2)) (pow y 2))
(+ (* -1 (pow z 2)) (pow y 2))
(* x y)
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3))))))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5))))))))
y
(+ y (* -1/2 (/ (pow z 2) y)))
(+ y (* (pow z 2) (- (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y)))))
(+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))
(* -1 (pow z 2))
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1))
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1))
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1))
(* x (* z (sqrt -1)))
(* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))
(* z (sqrt -1))
(* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))))
(* -1 (pow z 2))
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1))
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1))
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1))
(* -1 (* x (* z (sqrt -1))))
(* -1 (* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))))
(* -1 (* z (sqrt -1)))
(* -1 (* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))))
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))))
(* -1 (pow z 2))
(- (pow y 2) (pow z 2))
(- (pow y 2) (pow z 2))
(- (pow y 2) (pow z 2))
(* x (* z (sqrt -1)))
(+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1))))
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* -1/8 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ x (* z (sqrt -1)))))))
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* 1/2 (/ x (* z (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (/ x (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* x (pow y 2)) (* (pow z 5) (pow (sqrt -1) 5)))))))))
(* z (sqrt -1))
(+ (* 1/2 (/ (pow y 2) (* z (sqrt -1)))) (* z (sqrt -1)))
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* z (sqrt -1)))))))
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (* (pow z 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow z 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* z (sqrt -1)))))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* x y)
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))
y
(* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4))))))
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6)))))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))))
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4)))))))
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6))))))))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2))))))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4)))))))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6))))))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))

Outputs
(pow y 2)
(*.f64 y y)
(+ (* -1 (pow z 2)) (pow y 2))
(*.f64 (+.f64 z y) (-.f64 y z))
(+ (* -1 (pow z 2)) (pow y 2))
(*.f64 (+.f64 z y) (-.f64 y z))
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(.f64 (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))) x)

rewrite201.0ms (3.8%)

Memory

5.3MiB live, 232.0MiB allocated

Rules

6 736×	`lower-fma.f64`
6 736×	`lower-fma.f32`
3 592×	`lower-/.f64`
3 592×	`lower-/.f32`
3 504×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	13	28
1	40	28
2	243	28
3	2153	28
0	9394	28

Stop Event

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

Counts

4 → 332

Calls

Call 1

Inputs
(-.f64 (.f64 y y) (.f64 z z))
(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
(*.f64 y y)

Outputs
(.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 z z (.f64 y y))))))
(.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (*.f64 z z) (pow.f64 y #s(literal 4 binary64)))))))
(*.f64 (exp.f64 (log.f64 (+.f64 z y))) (exp.f64 (log.f64 (-.f64 y z))))
(*.f64 (exp.f64 (log.f64 (-.f64 y z))) (exp.f64 (log.f64 (+.f64 z y))))
(.f64 (pow.f64 (/.f64 (fma.f64 z z (.f64 y y)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 z z (.f64 y y)) (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 z #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64))) (pow.f64 y #s(literal 8 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (*.f64 z z) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 z #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 z #s(literal 18 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (pow.f64 y #s(literal 12 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64)))) (fma.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (.f64 (-.f64 y z) (+.f64 z y)))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))
(.f64 (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))
(.f64 (pow.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (*.f64 z z) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (*.f64 z z) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 y z) (+.f64 z y)))
(.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (neg.f64 (fma.f64 z z (.f64 y y))) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (*.f64 z z) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 y z) (+.f64 z y))
(*.f64 (+.f64 z y) (-.f64 y z))
(.f64 (fma.f64 z z (.f64 y y)) (/.f64 (.f64 (-.f64 y z) (+.f64 z y)) (fma.f64 z z (.f64 y y))))
(.f64 (fma.f64 z z (.f64 y y)) (.f64 (.f64 (-.f64 y z) (+.f64 z y)) (pow.f64 (fma.f64 z z (*.f64 y y)) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal -1 binary64)))
(.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 (-.f64 y z) (+.f64 z y)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))))
(.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 (-.f64 y z) (+.f64 z y)) (pow.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (*.f64 z z) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (*.f64 z z) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y z) (+.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 y z) (+.f64 z y)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 z (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 (.f64 y (-.f64 y z)) #s(literal 3 binary64))) (fma.f64 (.f64 z (-.f64 y z)) (.f64 z (-.f64 y z)) (-.f64 (.f64 (.f64 y (-.f64 y z)) (.f64 y (-.f64 y z))) (.f64 (.f64 z (-.f64 y z)) (.f64 y (-.f64 y z))))))
(/.f64 (+.f64 (pow.f64 (.f64 y (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 (.f64 z (-.f64 y z)) #s(literal 3 binary64))) (fma.f64 (.f64 y (-.f64 y z)) (.f64 y (-.f64 y z)) (-.f64 (.f64 (.f64 z (-.f64 y z)) (.f64 z (-.f64 y z))) (.f64 (.f64 y (-.f64 y z)) (.f64 z (-.f64 y z))))))
(/.f64 (+.f64 (pow.f64 (.f64 y (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 z) (+.f64 z y)) #s(literal 3 binary64))) (fma.f64 (.f64 y (+.f64 z y)) (.f64 y (+.f64 z y)) (-.f64 (.f64 (.f64 (neg.f64 z) (+.f64 z y)) (.f64 (neg.f64 z) (+.f64 z y))) (.f64 (.f64 y (+.f64 z y)) (.f64 (neg.f64 z) (+.f64 z y))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 y z) z) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 y z) y) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 y z) z) (.f64 (-.f64 y z) z) (-.f64 (.f64 (.f64 (-.f64 y z) y) (.f64 (-.f64 y z) y)) (.f64 (.f64 (-.f64 y z) z) (.f64 (-.f64 y z) y)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 y z) y) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 y z) z) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 y z) y) (.f64 (-.f64 y z) y) (-.f64 (.f64 (.f64 (-.f64 y z) z) (.f64 (-.f64 y z) z)) (.f64 (.f64 (-.f64 y z) y) (.f64 (-.f64 y z) z)))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 z y) y) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 z y) (neg.f64 z)) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 z y) y) (.f64 (+.f64 z y) y) (-.f64 (.f64 (.f64 (+.f64 z y) (neg.f64 z)) (.f64 (+.f64 z y) (neg.f64 z))) (.f64 (.f64 (+.f64 z y) y) (.f64 (+.f64 z y) (neg.f64 z))))))
(/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 3 binary64))) (pow.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 y y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 y y)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))))) (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (*.f64 y y))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))))) (.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (*.f64 z z) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 z y))) (neg.f64 (fma.f64 z (+.f64 z y) (.f64 y y))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 y z) (+.f64 z y)) (+.f64 z y))) (neg.f64 (+.f64 z y)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 y z))) (neg.f64 (fma.f64 z (-.f64 z y) (.f64 y y))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 y z) (+.f64 z y)) (-.f64 y z))) (neg.f64 (-.f64 y z)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal 8 binary64))) (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 z #s(literal 12 binary64))) (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64))) (pow.f64 y #s(literal 8 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 z #s(literal 12 binary64))) (pow.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (*.f64 z z) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 z #s(literal 18 binary64))) (pow.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (pow.f64 y #s(literal 12 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 y z) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (fma.f64 z (-.f64 z y) (.f64 y y))))
(/.f64 (neg.f64 (.f64 (-.f64 y z) (.f64 (-.f64 y z) (+.f64 z y)))) (neg.f64 (-.f64 y z)))
(/.f64 (neg.f64 (.f64 (+.f64 z y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (fma.f64 z (+.f64 z y) (.f64 y y))))
(/.f64 (neg.f64 (.f64 (+.f64 z y) (.f64 (-.f64 y z) (+.f64 z y)))) (neg.f64 (+.f64 z y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (*.f64 y y))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (*.f64 z z) (pow.f64 y #s(literal 4 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 z z (*.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 z z (.f64 y y))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (fma.f64 z (-.f64 z y) (.f64 y y)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 (-.f64 y z) (+.f64 z y)))) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 y z) (+.f64 z y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (.f64 (+.f64 z y) (fma.f64 z (-.f64 z y) (.f64 y y)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 (-.f64 y z) (+.f64 z y)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
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(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 z #s(literal 12 binary64))) (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal -1 binary64)))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64))) (pow.f64 y #s(literal 8 binary64)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 z #s(literal 12 binary64))) (pow.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (*.f64 z z) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))) (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 z #s(literal 18 binary64))) (pow.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))) (hypot.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 z y) #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 z (-.f64 z y) (.f64 y y))))
(/.f64 (sqrt.f64 (.f64 (-.f64 y z) (.f64 (-.f64 y z) (+.f64 z y)))) (sqrt.f64 (-.f64 y z)))
(/.f64 (sqrt.f64 (.f64 (+.f64 z y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 z (+.f64 z y) (.f64 y y))))
(/.f64 (sqrt.f64 (.f64 (+.f64 z y) (.f64 (-.f64 y z) (+.f64 z y)))) (sqrt.f64 (+.f64 z y)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (*.f64 y y))))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (*.f64 z z) (pow.f64 y #s(literal 4 binary64)))))))))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 z z (*.f64 y y))))))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (fma.f64 z (-.f64 z y) (.f64 y y)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 (-.f64 y z) (+.f64 z y)))) (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (sqrt.f64 (.f64 (.f64 (-.f64 y z) (+.f64 z y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 (.f64 (+.f64 z y) (fma.f64 z (-.f64 z y) (.f64 y y)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 (-.f64 y z) (+.f64 z y)))) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(/.f64 (sqrt.f64 (.f64 (.f64 (-.f64 y z) (+.f64 z y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 (.f64 (-.f64 y z) (fma.f64 z (+.f64 z y) (.f64 y y)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal 8 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 z z (*.f64 y y)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 z #s(literal 12 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (+.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64))) (pow.f64 y #s(literal 8 binary64))) (fma.f64 z z (.f64 y y)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 z #s(literal 12 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 z #s(literal 18 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (+.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (pow.f64 y #s(literal 12 binary64))) (fma.f64 (fma.f64 z z (.f64 y y)) (*.f64 z z) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))) (.f64 (fma.f64 z z (.f64 y y)) (pow.f64 z #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (fma.f64 z z (*.f64 y y)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) (.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 6 binary64))))) (sqrt.f64 (pow.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (pow.f64 (.f64 (-.f64 y z) (+.f64 z y)) #s(literal 2 binary64))) (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (.f64 (neg.f64 z) z) (.f64 y y))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (*.f64 z z) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))) (hypot.f64 z y))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 y z) (+.f64 z y)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (hypot.f64 z y)))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal 8 binary64)))) (sqrt.f64 (.f64 (fma.f64 z z (.f64 y y)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (sqrt.f64 (.f64 (fma.f64 z z (.f64 y y)) (+.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64))) (pow.f64 y #s(literal 8 binary64))))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (sqrt.f64 (.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (*.f64 z z) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (hypot.f64 z y)))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (sqrt.f64 (.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (pow.f64 y #s(literal 12 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y z) (+.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (hypot.f64 z y))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (.f64 (fma.f64 z (-.f64 z y) (.f64 y y)) (fma.f64 z (+.f64 z y) (*.f64 y y)))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
(exp.f64 (fma.f64 (log.f64 (.f64 (-.f64 y z) (+.f64 z y))) #s(literal 1/4 binary64) (.f64 (log.f64 (*.f64 (-.f64 y z) (+.f64 z y))) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 (-.f64 y z)) #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 z y)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (+.f64 z y)) #s(literal 1/2 binary64) (*.f64 (log.f64 (-.f64 y z)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (-.f64 y z) (+.f64 z y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (-.f64 y z) (+.f64 z y)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (-.f64 y z) (+.f64 z y)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 y z) (+.f64 z y))) #s(literal 1/2 binary64)))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval67.0ms (1.3%)

Memory: 23.7MiB live, 75.3MiB allocated
Compiler: Compiled 12 357 to 1 728 computations (86% saved)

prune94.0ms (1.8%)

Memory

-1.4MiB live, 109.4MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	421	5	426
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	422	5	427

Accuracy

100.0%

Counts

427 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x))
▶	71.0%	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
▶	71.0%	(.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y))))
▶	99.1%	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
▶	98.5%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 98 to 78 computations (20.4% saved)

simplify210.0ms (4%)

Memory

-8.4MiB live, 151.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

14 566×	`lower-fma.f32`
14 562×	`lower-fma.f64`
2 536×	`lower--.f32`
2 534×	`lower--.f64`
2 172×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	186
0	49	177
1	80	177
2	120	177
3	187	177
4	312	177
5	668	177
6	1609	177
7	3355	177
8	6211	177
0	8349	177

Stop Event

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

Calls

Call 1

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

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

localize183.0ms (3.4%)

Memory

-42.7MiB live, 148.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (-.f64 y z) y)
accuracy	0.00390625	(fma.f64 (-.f64 y z) z (*.f64 (-.f64 y z) y))
accuracy	0.00390625	(.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y))))
accuracy	29.351577313548056	(sqrt.f64 (fma.f64 (-.f64 y z) z (*.f64 (-.f64 y z) y)))
accuracy	0	(/.f64 z y)
accuracy	0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	0.00390625	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
accuracy	0.6491247708309315	#s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))
accuracy	0	(+.f64 z y)
accuracy	0.00390625	(*.f64 (-.f64 y z) (+.f64 z y))
accuracy	0.00390625	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
accuracy	29.351577313548056	(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
accuracy	0	(*.f64 x y)
accuracy	0.936220297311488	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))
accuracy	0.0078125	(sqrt.f64 (-.f64 y z))
accuracy	0.01171875	(sqrt.f64 (+.f64 z y))
accuracy	0.20703125	(*.f64 (sqrt.f64 (-.f64 y z)) x)
accuracy	0.2890625	(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x))

Samples

156.0ms

256×

valid

Compiler

Compiled 170 to 30 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-sub: 60.0ms (47.7% of total)

ival-mult: 53.0ms (42.1% of total)

ival-sqrt: 8.0ms (6.4% of total)

ival-add: 3.0ms (2.4% of total)

ival-div: 2.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

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

series89.0ms (1.7%)

Memory

-1.8MiB live, 41.0MiB allocated

Counts

20 → 540

Calls

Call 1

Inputs
#s(alt (.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x)) (patch (.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 z y)) (patch (sqrt.f64 (+.f64 z y)) #<representation binary64>) () ())
#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (-.f64 y z)) x) (patch (.f64 (sqrt.f64 (-.f64 y z)) x) #<representation binary64>) () ())
#s(alt #s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 x y)) (patch #s(approx ( x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) (patch (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) (patch (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 y z) (+.f64 z y)) (patch (.f64 (-.f64 y z) (+.f64 z y)) #<representation binary64>) () ())
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) (patch (.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) (patch #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/2 binary64) z) (patch (.f64 #s(literal -1/2 binary64) z) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y)) (patch (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y)) #<representation binary64>) () ())
#s(alt (.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y)))) (patch (.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y))) (patch (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 y z)) (patch (sqrt.f64 (-.f64 y z)) #<representation binary64>) () ())
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 y z) y) (patch (.f64 (-.f64 y z) y) #<representation binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x)) (patch (.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* x (* z (+ y (* -1 y)))) y)) (* x y)) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x)) (patch (.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ (* -1/2 (/ (* x (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))) y)) (* 1/2 (/ (* x (+ y (* -1 y))) y))))) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x)) (patch (.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ (* 1/2 (/ (* x (+ y (* -1 y))) y)) (* z (+ (* -1/2 (/ (* x (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/4 (/ (* x (* z (* (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) (+ y (* -1 y))))) (pow y 3)))))))) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x)) (patch (.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x)) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor 0 z) (#s(alt (sqrt.f64 (+.f64 z y)) (patch (sqrt.f64 (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt y) (* 1/2 (* (sqrt (/ 1 y)) z))) (taylor 0 z) (#s(alt (sqrt.f64 (+.f64 z y)) (patch (sqrt.f64 (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt y) (* z (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) z)) (* 1/2 (sqrt (/ 1 y)))))) (taylor 0 z) (#s(alt (sqrt.f64 (+.f64 z y)) (patch (sqrt.f64 (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt y) (* z (+ (* 1/2 (sqrt (/ 1 y))) (* z (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* (sqrt (/ 1 (pow y 5))) z))))))) (taylor 0 z) (#s(alt (sqrt.f64 (+.f64 z y)) (patch (sqrt.f64 (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt y)) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 (-.f64 y z)) x) (patch (.f64 (sqrt.f64 (-.f64 y z)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (* x z) (sqrt (/ 1 y)))) (* x (sqrt y))) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 (-.f64 y z)) x) (patch (.f64 (sqrt.f64 (-.f64 y z)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sqrt y)) (* z (+ (* -1/2 (* x (sqrt (/ 1 y)))) (* -1/8 (* (* x z) (sqrt (/ 1 (pow y 3)))))))) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 (-.f64 y z)) x) (patch (.f64 (sqrt.f64 (-.f64 y z)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sqrt y)) (* z (+ (* -1/2 (* x (sqrt (/ 1 y)))) (* z (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* -1/16 (* (* x z) (sqrt (/ 1 (pow y 5)))))))))) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 (-.f64 y z)) x) (patch (.f64 (sqrt.f64 (-.f64 y z)) x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 x y)) (patch #s(approx ( x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y)) (taylor 0 z) (#s(alt #s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 x y)) (patch #s(approx ( x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3)))))) (taylor 0 z) (#s(alt #s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 x y)) (patch #s(approx ( x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))))))) (taylor 0 z) (#s(alt #s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 x y)) (patch #s(approx ( x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) (patch (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* x (* z (+ y (* -1 y)))) y)) (* x y)) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) (patch (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ (* -1/2 (/ (* x (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))) y)) (* 1/2 (/ (* x (+ y (* -1 y))) y))))) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) (patch (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ (* 1/2 (/ (* x (+ y (* -1 y))) y)) (* z (+ (* -1/2 (/ (* x (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/4 (/ (* x (* z (* (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) (+ y (* -1 y))))) (pow y 3)))))))) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) (patch (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) (patch (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/2 (/ (* z (+ y (* -1 y))) y))) (taylor 0 z) (#s(alt (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) (patch (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ y (* z (+ (* -1/2 (/ (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/2 (/ (+ y (* -1 y)) y))))) (taylor 0 z) (#s(alt (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) (patch (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ y (* z (+ (* 1/2 (/ (+ y (* -1 y)) y)) (* z (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) y)) (* 1/4 (/ (* z (* (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) (+ y (* -1 y)))) (pow y 3)))))))) (taylor 0 z) (#s(alt (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) (patch (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 z) (#s(alt (.f64 (-.f64 y z) (+.f64 z y)) (patch (.f64 (-.f64 y z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (+ y (* -1 y))) (pow y 2)) (taylor 0 z) (#s(alt (.f64 (-.f64 y z) (+.f64 z y)) (patch (.f64 (-.f64 y z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (+ y (+ (* -1 y) (* -1 z)))) (pow y 2)) (taylor 0 z) (#s(alt (.f64 (-.f64 y z) (+.f64 z y)) (patch (.f64 (-.f64 y z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (+ y (+ (* -1 y) (* -1 z)))) (pow y 2)) (taylor 0 z) (#s(alt (.f64 (-.f64 y z) (+.f64 z y)) (patch (.f64 (-.f64 y z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) (patch (.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y)) (taylor 0 z) (#s(alt (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) (patch (.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3)))))) (taylor 0 z) (#s(alt (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) (patch (.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))))))) (taylor 0 z) (#s(alt (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) (patch (.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) (patch #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1/2 (/ (pow z 2) y))) (taylor 0 z) (#s(alt #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) (patch #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* (pow z 2) (- (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y))))) (taylor 0 z) (#s(alt #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) (patch #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) (taylor 0 z) (#s(alt #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) (patch #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1/2 (/ (pow z 2) y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1/2 (/ (pow z 2) y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1/2 (/ (pow z 2) y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor 0 z) (#s(alt (.f64 #s(literal -1/2 binary64) z) (patch (.f64 #s(literal -1/2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor 0 z) (#s(alt (.f64 #s(literal -1/2 binary64) z) (patch (.f64 #s(literal -1/2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor 0 z) (#s(alt (.f64 #s(literal -1/2 binary64) z) (patch (.f64 #s(literal -1/2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor 0 z) (#s(alt (.f64 #s(literal -1/2 binary64) z) (patch (.f64 #s(literal -1/2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 z) (#s(alt (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y)) (patch (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y)) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) (patch (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) (patch (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) (patch (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) (patch (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor inf x) (#s(alt (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) (patch (.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor inf x) (#s(alt (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) (patch (.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor inf x) (#s(alt (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) (patch (.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor inf x) (#s(alt (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) (patch (.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (+ (* y (- y z)) (* z (- y z))))) (taylor inf x) (#s(alt (.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y)))) (patch (.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (+ (* y (- y z)) (* z (- y z))))) (taylor inf x) (#s(alt (.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y)))) (patch (.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (+ (* y (- y z)) (* z (- y z))))) (taylor inf x) (#s(alt (.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y)))) (patch (.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (+ (* y (- y z)) (* z (- y z))))) (taylor inf x) (#s(alt (.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y)))) (patch (.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x)) (patch (.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x)) (patch (.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x)) (patch (.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x)) (patch (.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- y z))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (-.f64 y z)) x) (patch (.f64 (sqrt.f64 (-.f64 y z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- y z))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (-.f64 y z)) x) (patch (.f64 (sqrt.f64 (-.f64 y z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- y z))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (-.f64 y z)) x) (patch (.f64 (sqrt.f64 (-.f64 y z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- y z))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (-.f64 y z)) x) (patch (.f64 (sqrt.f64 (-.f64 y z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt #s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 x y)) (patch #s(approx ( x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt #s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 x y)) (patch #s(approx ( x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt #s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 x y)) (patch #s(approx ( x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt #s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 x y)) (patch #s(approx ( x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) (patch (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) (patch (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) (patch (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) (patch (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) (patch (.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) (patch (.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) (patch (.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) (patch (.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (+ (* y (- y z)) (* z (- y z))))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y)))) (patch (.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (+ (* y (- y z)) (* z (- y z))))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y)))) (patch (.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (+ (* y (- y z)) (* z (- y z))))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y)))) (patch (.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (+ (* y (- y z)) (* z (- y z))))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y)))) (patch (.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y)))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	((* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (* x (sqrt (- (* y y) (* z z)))) (* x y) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (+ (* (- y z) z) (* (- y z) y)) (* x (sqrt (+ (* (- y z) z) (* (- y z) y)))) (sqrt (+ (* (- y z) z) (* (- y z) y))) (sqrt (- y z)) (/ z y) (* (- y z) y))
6.0ms	y	@	-inf	((* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (* x (sqrt (- (* y y) (* z z)))) (* x y) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (+ (* (- y z) z) (* (- y z) y)) (* x (sqrt (+ (* (- y z) z) (* (- y z) y)))) (sqrt (+ (* (- y z) z) (* (- y z) y))) (sqrt (- y z)) (/ z y) (* (- y z) y))
5.0ms	z	@	inf	((* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (* x (sqrt (- (* y y) (* z z)))) (* x y) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (+ (* (- y z) z) (* (- y z) y)) (* x (sqrt (+ (* (- y z) z) (* (- y z) y)))) (sqrt (+ (* (- y z) z) (* (- y z) y))) (sqrt (- y z)) (/ z y) (* (- y z) y))
5.0ms	z	@	-inf	((* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (* x (sqrt (- (* y y) (* z z)))) (* x y) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (+ (* (- y z) z) (* (- y z) y)) (* x (sqrt (+ (* (- y z) z) (* (- y z) y)))) (sqrt (+ (* (- y z) z) (* (- y z) y))) (sqrt (- y z)) (/ z y) (* (- y z) y))
4.0ms	z	@	0	((* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (* x (sqrt (- (* y y) (* z z)))) (* x y) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (+ (* (- y z) z) (* (- y z) y)) (* x (sqrt (+ (* (- y z) z) (* (- y z) y)))) (sqrt (+ (* (- y z) z) (* (- y z) y))) (sqrt (- y z)) (/ z y) (* (- y z) y))

simplify274.0ms (5.1%)

Memory

32.0MiB live, 188.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 362×	`lower-fma.f64`
11 362×	`lower-fma.f32`
6 228×	`lower-+.f64`
6 228×	`lower-+.f32`
6 140×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	989	9683
1	3374	8038
0	8796	7528

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 522

Calls

Call 1

Inputs
(* x y)
(+ (* 1/2 (/ (* x (* z (+ y (* -1 y)))) y)) (* x y))
(+ (* x y) (* z (+ (* -1/2 (/ (* x (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))) y)) (* 1/2 (/ (* x (+ y (* -1 y))) y)))))
(+ (* x y) (* z (+ (* 1/2 (/ (* x (+ y (* -1 y))) y)) (* z (+ (* -1/2 (/ (* x (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/4 (/ (* x (* z (* (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) (+ y (* -1 y))))) (pow y 3))))))))
(sqrt y)
(+ (sqrt y) (* 1/2 (* (sqrt (/ 1 y)) z)))
(+ (sqrt y) (* z (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) z)) (* 1/2 (sqrt (/ 1 y))))))
(+ (sqrt y) (* z (+ (* 1/2 (sqrt (/ 1 y))) (* z (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* (sqrt (/ 1 (pow y 5))) z)))))))
y
(+ y z)
(+ y z)
(+ y z)
(* x (sqrt y))
(+ (* -1/2 (* (* x z) (sqrt (/ 1 y)))) (* x (sqrt y)))
(+ (* x (sqrt y)) (* z (+ (* -1/2 (* x (sqrt (/ 1 y)))) (* -1/8 (* (* x z) (sqrt (/ 1 (pow y 3))))))))
(+ (* x (sqrt y)) (* z (+ (* -1/2 (* x (sqrt (/ 1 y)))) (* z (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* -1/16 (* (* x z) (sqrt (/ 1 (pow y 5))))))))))
(* x y)
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3))))))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5))))))))
(* x y)
(+ (* 1/2 (/ (* x (* z (+ y (* -1 y)))) y)) (* x y))
(+ (* x y) (* z (+ (* -1/2 (/ (* x (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))) y)) (* 1/2 (/ (* x (+ y (* -1 y))) y)))))
(+ (* x y) (* z (+ (* 1/2 (/ (* x (+ y (* -1 y))) y)) (* z (+ (* -1/2 (/ (* x (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/4 (/ (* x (* z (* (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) (+ y (* -1 y))))) (pow y 3))))))))
y
(+ y (* 1/2 (/ (* z (+ y (* -1 y))) y)))
(+ y (* z (+ (* -1/2 (/ (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/2 (/ (+ y (* -1 y)) y)))))
(+ y (* z (+ (* 1/2 (/ (+ y (* -1 y)) y)) (* z (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) y)) (* 1/4 (/ (* z (* (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) (+ y (* -1 y)))) (pow y 3))))))))
(pow y 2)
(+ (* z (+ y (* -1 y))) (pow y 2))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (pow y 2))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (pow y 2))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(* x y)
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3))))))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5))))))))
y
(+ y (* -1/2 (/ (pow z 2) y)))
(+ y (* (pow z 2) (- (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y)))))
(+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))
y
(+ y (* -1/2 (/ (pow z 2) y)))
(+ y (* -1/2 (/ (pow z 2) y)))
(+ y (* -1/2 (/ (pow z 2) y)))
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(pow y 2)
(+ (* z (+ y (* -1 y))) (pow y 2))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (pow y 2))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (pow y 2))
(* x y)
(+ (* 1/2 (/ (* x (* z (+ y (* -1 y)))) y)) (* x y))
(+ (* x y) (* z (+ (* -1/2 (/ (* x (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))) y)) (* 1/2 (/ (* x (+ y (* -1 y))) y)))))
(+ (* x y) (* z (+ (* 1/2 (/ (* x (+ y (* -1 y))) y)) (* z (+ (* -1/2 (/ (* x (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/4 (/ (* x (* z (* (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) (+ y (* -1 y))))) (pow y 3))))))))
y
(+ y (* 1/2 (/ (* z (+ y (* -1 y))) y)))
(+ y (* z (+ (* -1/2 (/ (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/2 (/ (+ y (* -1 y)) y)))))
(+ y (* z (+ (* 1/2 (/ (+ y (* -1 y)) y)) (* z (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) y)) (* 1/4 (/ (* z (* (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) (+ y (* -1 y)))) (pow y 3))))))))
(sqrt y)
(+ (sqrt y) (* -1/2 (* (sqrt (/ 1 y)) z)))
(+ (sqrt y) (* z (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* (sqrt (/ 1 (pow y 3))) z)))))
(+ (sqrt y) (* z (+ (* -1/2 (sqrt (/ 1 y))) (* z (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* (sqrt (/ 1 (pow y 5))) z)))))))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(pow y 2)
(+ (* -1 (* y z)) (pow y 2))
(+ (* -1 (* y z)) (pow y 2))
(+ (* -1 (* y z)) (pow y 2))
(* x (* z (sqrt -1)))
(* z (+ (* 1/2 (/ (* x (+ y (* -1 y))) (* z (sqrt -1)))) (* x (sqrt -1))))
(* z (+ (* 1/2 (/ (* x (+ y (* -1 y))) (* z (sqrt -1)))) (+ (* 1/2 (/ (* x (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2))))) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))
(* z (+ (* -1/4 (/ (* x (* (+ y (* -1 y)) (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2)))))) (* (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (+ y (* -1 y))) (* z (sqrt -1)))) (+ (* 1/2 (/ (* x (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2))))) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))
(sqrt z)
(* z (+ (sqrt (/ 1 z)) (* 1/2 (* y (sqrt (/ 1 (pow z 3)))))))
(* z (+ (sqrt (/ 1 z)) (+ (* -1/8 (* (pow y 2) (sqrt (/ 1 (pow z 5))))) (* 1/2 (* y (sqrt (/ 1 (pow z 3))))))))
(* z (+ (sqrt (/ 1 z)) (+ (* -1/8 (* (pow y 2) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (pow y 3) (sqrt (/ 1 (pow z 7))))) (* 1/2 (* y (sqrt (/ 1 (pow z 3)))))))))
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
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z
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z
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(+ (* 1/2 (/ (* x (* y (+ z (* -1 z)))) (* z (sqrt -1)))) (* x (* z (sqrt -1))))
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(+ (* x (* z (sqrt -1))) (* y (+ (* 1/2 (/ (* x (+ z (* -1 z))) (* z (sqrt -1)))) (* y (+ (* -1/4 (/ (* x (* y (* (+ z (* -1 z)) (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2)))))))) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* x (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2)))))) (* z (sqrt -1)))))))))
(* z (sqrt -1))
(+ (* 1/2 (/ (* y (+ z (* -1 z))) (* z (sqrt -1)))) (* z (sqrt -1)))
(+ (* y (+ (* 1/2 (/ (* y (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2)))))) (* z (sqrt -1)))) (* 1/2 (/ (+ z (* -1 z)) (* z (sqrt -1)))))) (* z (sqrt -1)))
(+ (* y (+ (* 1/2 (/ (+ z (* -1 z)) (* z (sqrt -1)))) (* y (+ (* -1/4 (/ (* y (* (+ z (* -1 z)) (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2))))))) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2))))) (* z (sqrt -1)))))))) (* z (sqrt -1)))
(* (sqrt z) (sqrt -1))
(+ (* 1/2 (* (/ y (sqrt -1)) (sqrt (/ 1 z)))) (* (sqrt z) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (/ y (pow (sqrt -1) 3)) (sqrt (/ 1 (pow z 3))))) (* 1/2 (* (sqrt (/ 1 z)) (/ 1 (sqrt -1)))))) (* (sqrt z) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 z)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ y (pow (sqrt -1) 5)) (sqrt (/ 1 (pow z 5))))))))) (* (sqrt z) (sqrt -1)))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* -1 (* y z))
(* y (+ y (* -1 z)))
(* y (+ y (* -1 z)))
(* y (+ y (* -1 z)))
(* x y)
(* y (+ x (* 1/2 (/ (* x (+ z (* -1 z))) y))))
(* y (+ x (+ (* 1/2 (/ (* x (+ z (* -1 z))) y)) (* 1/2 (/ (* x (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2)))) (pow y 2))))))
(* y (+ x (+ (* -1/4 (/ (* x (* (+ z (* -1 z)) (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ z (* -1 z))) y)) (* 1/2 (/ (* x (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2)))) (pow y 2)))))))
(sqrt y)
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* (sqrt (/ 1 (pow y 3))) z))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (pow z 2))) (* 1/2 (* (sqrt (/ 1 (pow y 3))) z)))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (pow z 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (pow z 3))) (* 1/2 (* (sqrt (/ 1 (pow y 3))) z))))))
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* x (sqrt y))
(* y (+ (* -1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (* x (sqrt (/ 1 y)))))
(* y (+ (* -1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (* x (pow z 2)) (sqrt (/ 1 (pow y 5))))) (* x (sqrt (/ 1 y))))))
(* y (+ (* -1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (* x (pow z 2)) (sqrt (/ 1 (pow y 5))))) (+ (* -1/16 (* (* x (pow z 3)) (sqrt (/ 1 (pow y 7))))) (* x (sqrt (/ 1 y)))))))
(* x y)
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x (* 1/2 (/ (* x (+ z (* -1 z))) y))))
(* y (+ x (+ (* 1/2 (/ (* x (+ z (* -1 z))) y)) (* 1/2 (/ (* x (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2)))) (pow y 2))))))
(* y (+ x (+ (* -1/4 (/ (* x (* (+ z (* -1 z)) (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ z (* -1 z))) y)) (* 1/2 (/ (* x (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2)))) (pow y 2)))))))
y
(* y (+ 1 (* 1/2 (/ (+ z (* -1 z)) y))))
(* y (+ 1 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2))) (pow y 2))))))
(* y (+ 1 (+ (* -1/4 (/ (* (+ z (* -1 z)) (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2)))) (pow y 3))) (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 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 y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y)))))
y
(* y (+ 1 (* -1 (/ z y))))
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(* x y)
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))
y
(* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4))))))
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6)))))))
y
(* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2)))))
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(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* x y)
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))
y
(* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4))))))
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6)))))))
(sqrt y)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* (sqrt (/ 1 (pow y 3))) z))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) z)) (* -1/8 (* (sqrt (/ 1 (pow y 5))) (pow z 2))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) z)) (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (pow z 2))) (* -1/16 (* (sqrt (/ 1 (pow y 7))) (pow z 3)))))))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ z y))))
(* (pow y 2) (+ 1 (* -1 (/ z y))))
(* (pow y 2) (+ 1 (* -1 (/ z y))))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1/2 (/ (* x (+ z (* -1 z))) y)) (* x (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (* x (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2))))) y)) (* 1/2 (* x (+ z (* -1 z))))) y)) (* x (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* x (* (+ z (* -1 z)) (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2)))))) (* y (pow (sqrt -1) 2)))) (* 1/2 (* x (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2))))))) y)) (* 1/2 (* x (+ z (* -1 z))))) y)) (* x (pow (sqrt -1) 2)))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) z)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) z)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ (pow z 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) z)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* y (+ (* 1/2 (* (* x (* z (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 3))))) (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))))
(* -1 (* y (+ (* -1/8 (* (* x (* (pow z 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (* z (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 3))))) (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))))))
(* -1 (* y (+ (* -1/8 (* (* x (* (pow z 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* x (* (pow z 3) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (* z (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 3))))) (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))))
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4)))))))
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6))))))))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1/2 (/ (* x (+ z (* -1 z))) y)) (* x (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (* x (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2))))) y)) (* 1/2 (* x (+ z (* -1 z))))) y)) (* x (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* x (* (+ z (* -1 z)) (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2)))))) (* y (pow (sqrt -1) 2)))) (* 1/2 (* x (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2))))))) y)) (* 1/2 (* x (+ z (* -1 z))))) y)) (* x (pow (sqrt -1) 2)))))
(* -1 (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1/2 (/ (+ z (* -1 z)) y)) (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2)))) y)) (* 1/2 (+ z (* -1 z)))) y)) (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ z (* -1 z)) (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2))))) (* y (pow (sqrt -1) 2)))) (* 1/2 (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2)))))) y)) (* 1/2 (+ z (* -1 z)))) y)) (pow (sqrt -1) 2))))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) y)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) y)) y))))
y
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))))
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4)))))))
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6))))))))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2))))))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4)))))))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6))))))))
y
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1)))
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1)))
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1)))
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ (+ z (* -1 z)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ z (+ (* -1 z) (/ (pow z 2) y))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ z (+ (* -1 z) (/ (pow z 2) y))) y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1/2 (/ (* x (+ z (* -1 z))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (* -1/2 (/ (* x (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2)))) y)) (* 1/2 (* x (+ z (* -1 z))))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* x (* (+ z (* -1 z)) (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2))))) y)) (* 1/2 (* x (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2)))))) y)) (* 1/2 (* x (+ z (* -1 z))))) y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ (+ z (* -1 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2))) y)) (* 1/2 (+ z (* -1 z)))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ z (* -1 z)) (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2)))) y)) (* 1/2 (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2))))) y)) (* 1/2 (+ z (* -1 z)))) y)))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (pow (sqrt -1) 2)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (* (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (pow (sqrt -1) 2)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (* (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (* (pow z 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (pow (sqrt -1) 2)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ z y))))
(* (pow y 2) (+ 1 (* -1 (/ z y))))
(* (pow y 2) (+ 1 (* -1 (/ z y))))
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (- y z)))
(* x (sqrt (- y z)))
(* x (sqrt (- y z)))
(* x (sqrt (- y z)))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (+ (* y (- y z)) (* z (- y z)))))
(* x (sqrt (+ (* y (- y z)) (* z (- y z)))))
(* x (sqrt (+ (* y (- y z)) (* z (- y z)))))
(* x (sqrt (+ (* y (- y z)) (* z (- y z)))))
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (- y z)))
(* x (sqrt (- y z)))
(* x (sqrt (- y z)))
(* x (sqrt (- y z)))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (+ (* y (- y z)) (* z (- y z)))))
(* x (sqrt (+ (* y (- y z)) (* z (- y z)))))
(* x (sqrt (+ (* y (- y z)) (* z (- y z)))))
(* x (sqrt (+ (* y (- y z)) (* z (- y z)))))
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (- y z)))
(* x (sqrt (- y z)))
(* x (sqrt (- y z)))
(* x (sqrt (- y z)))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x (sqrt (+ (* y (- y z)) (* z (- y z)))))
(* x (sqrt (+ (* y (- y z)) (* z (- y z)))))
(* x (sqrt (+ (* y (- y z)) (* z (- y z)))))
(* x (sqrt (+ (* y (- y z)) (* z (- y z)))))

Outputs
(* x y)
(*.f64 y x)
(+ (* 1/2 (/ (* x (* z (+ y (* -1 y)))) y)) (* x y))
(fma.f64 (.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1/2 binary64) (.f64 y x))
(+ (* x y) (* z (+ (* -1/2 (/ (* x (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))) y)) (* 1/2 (/ (* x (+ y (* -1 y))) y)))))
(fma.f64 (fma.f64 (.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) z z) x) y) #s(literal -1/2 binary64))) z (*.f64 y x))
(+ (* x y) (* z (+ (* 1/2 (/ (* x (+ y (* -1 y))) y)) (* z (+ (* -1/2 (/ (* x (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/4 (/ (* x (* z (* (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) (+ y (* -1 y))))) (pow y 3))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 0 binary64)) z) x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) x x) y) #s(literal -1/2 binary64))) z (.f64 (.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1/2 binary64))) z (.f64 y x))
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* 1/2 (* (sqrt (/ 1 y)) z)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) z (sqrt.f64 y))
(+ (sqrt y) (* z (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) z)) (* 1/2 (sqrt (/ 1 y))))))
(fma.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64)) z (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) z (sqrt.f64 y))
(+ (sqrt y) (* z (+ (* 1/2 (sqrt (/ 1 y))) (* z (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* (sqrt (/ 1 (pow y 5))) z)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) z (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) z (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) z (sqrt.f64 y))
y
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(* x (sqrt y))
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(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (- y z)))
(*.f64 (sqrt.f64 (-.f64 y z)) x)
(* x (sqrt (- y z)))
(*.f64 (sqrt.f64 (-.f64 y z)) x)
(* x (sqrt (- y z)))
(*.f64 (sqrt.f64 (-.f64 y z)) x)
(* x (sqrt (- y z)))
(*.f64 (sqrt.f64 (-.f64 y z)) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (+ (* y (- y z)) (* z (- y z)))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (+ (* y (- y z)) (* z (- y z)))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (+ (* y (- y z)) (* z (- y z)))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (+ (* y (- y z)) (* z (- y z)))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (- y z)))
(*.f64 (sqrt.f64 (-.f64 y z)) x)
(* x (sqrt (- y z)))
(*.f64 (sqrt.f64 (-.f64 y z)) x)
(* x (sqrt (- y z)))
(*.f64 (sqrt.f64 (-.f64 y z)) x)
(* x (sqrt (- y z)))
(*.f64 (sqrt.f64 (-.f64 y z)) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (+ (* y (- y z)) (* z (- y z)))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (+ (* y (- y z)) (* z (- y z)))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (+ (* y (- y z)) (* z (- y z)))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (+ (* y (- y z)) (* z (- y z)))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)

rewrite290.0ms (5.5%)

Memory

16.0MiB live, 244.1MiB allocated

Rules

9 656×	`lower-fma.f32`
9 652×	`lower-fma.f64`
5 334×	`lower-*.f32`
5 316×	`lower-*.f64`
3 486×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	162
0	49	155
1	149	152
2	943	152
0	8573	152

Stop Event

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

Counts

20 → 1 055

Calls

Call 1

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

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

eval507.0ms (9.5%)

Memory: 26.8MiB live, 481.1MiB allocated
Compiler: Compiled 53 116 to 5 781 computations (89.1% saved)

prune392.0ms (7.4%)

Memory

-29.2MiB live, 462.1MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	2 035	0	2 035
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	2 035	5	2 040

Accuracy

100.0%

Counts

2 040 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x))
✓	71.0%	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
✓	71.0%	(.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y))))
✓	99.1%	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
✓	98.5%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 108 to 68 computations (37% saved)

regimes27.0ms (0.5%)

Memory

-18.8MiB live, 67.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x))

Calls

8 calls:

7.0ms	y
4.0ms	(-.f64 (.f64 y y) (.f64 z z))
3.0ms	z
3.0ms	x
3.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`y`
99.3%	1	`z`
99.3%	1	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
99.3%	1	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
99.3%	1	`(-.f64 (.f64 y y) (.f64 z z))`
99.3%	1	`(*.f64 y y)`
99.3%	1	`(*.f64 z z)`

Compiler

Compiled 34 to 38 computations (-11.8% saved)

regimes19.0ms (0.4%)

Memory

9.9MiB live, 48.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

8 calls:

3.0ms	z
2.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
2.0ms	y
2.0ms	x
2.0ms	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`y`
99.1%	1	`z`
99.1%	1	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
99.1%	1	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
99.1%	1	`(-.f64 (.f64 y y) (.f64 z z))`
99.1%	1	`(*.f64 y y)`
99.1%	1	`(*.f64 z z)`

Compiler

Compiled 34 to 38 computations (-11.8% saved)

regimes13.0ms (0.2%)

Memory

-1.8MiB live, 37.0MiB allocated

Accuracy

Total -18.1b remaining (-1938.4%)

Threshold costs -18.1b (-1938.4%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Calls

8 calls:

3.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
1.0ms	x
1.0ms	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
98.5%	1	`y`
98.5%	1	`z`
98.5%	1	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
98.5%	1	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
98.5%	1	`(-.f64 (.f64 y y) (.f64 z z))`
98.5%	1	`(*.f64 y y)`
98.5%	1	`(*.f64 z z)`
98.5%	1	`x`

Compiler

Compiled 34 to 38 computations (-11.8% saved)

simplify23.0ms (0.4%)

Memory

20.7MiB live, 59.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`-commutative-binary64-.f64`
6×	`+-commutative-binary64-+.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`neg-sub0-binary64--.f64-neg.f64`
2×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	44
1	30	44
2	35	44
3	37	44
4	38	44

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (sqrt.f64 (-.f64 y z)) x))

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

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

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

soundness325.0ms (6.1%)

Memory

-9.7MiB live, 253.1MiB allocated

Rules

13 108×	`lower-fma.f64`
13 108×	`lower-fma.f32`
6 736×	`lower-fma.f64`
6 736×	`lower-fma.f32`
5 990×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1489
1	648	1483
2	2455	1426
3	7928	1426
0	8162	1349
0	8	28
0	13	28
1	40	28
2	243	28
3	2153	28
0	9394	28

Stop Event

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

Compiler

Compiled 60 to 43 computations (28.3% saved)

preprocess153.0ms (2.9%)

Memory

12.3MiB live, 241.6MiB allocated

Remove

(negabs x)

(abs z)

Compiler

Compiled 374 to 294 computations (21.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze98.0ms (1.8%)

sample1.1s (20.8%)

explain87.0ms (1.6%)

preprocess532.0ms (10%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify349.0ms (6.6%)

localize36.0ms (0.7%)

series17.0ms (0.3%)

simplify222.0ms (4.2%)

rewrite201.0ms (3.8%)

eval67.0ms (1.3%)

prune94.0ms (1.8%)

simplify210.0ms (4%)

localize183.0ms (3.4%)

series89.0ms (1.7%)

simplify274.0ms (5.1%)

rewrite290.0ms (5.5%)

eval507.0ms (9.5%)

prune392.0ms (7.4%)

regimes27.0ms (0.5%)

regimes19.0ms (0.4%)

regimes13.0ms (0.2%)

simplify23.0ms (0.4%)

soundness325.0ms (6.1%)

preprocess153.0ms (2.9%)

end0.0ms (0%)

Profiling