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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze129.0ms (3.8%)

Memory

4.7MiB live, 71.7MiB 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)

sample1.5s (42.5%)

Memory

-14.0MiB live, 1 496.7MiB allocated

Samples

844.0ms	8 256×	0	valid
181.0ms	2 470×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 576.0ms

ival-mult: 339.0ms (58.9% of total)

ival-sqrt: 175.0ms (30.4% of total)

ival-sub: 48.0ms (8.3% of total)

ival-true: 8.0ms (1.4% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

explain116.0ms (3.4%)

Memory

-2.5MiB live, 139.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
140	-	1	(-1.0981942844334107e+164 3.560834313427976e-160 1.9692279552205189e-202)	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
21	-	0	-	`(-.f64 (.f64 y y) (.f64 z z))`
0	-	0	-	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
0	-	0	-	`y`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`z`
0	-	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	126	0
↳	`(*.f64 y y)`	overflow	126
↳	`(-.f64 (.f64 y y) (.f64 z z))`	overflow	126
↳	`(*.f64 z z)`	overflow	21
`-.f64`	`(-.f64 (.f64 y y) (.f64 z z))`	nan-rescue	21	0
↳	`(*.f64 y y)`	overflow	126
↳	`(*.f64 z z)`	overflow	21
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`	uflow-rescue	13	0
↳	`(*.f64 y y)`	underflow	13
↳	`(-.f64 (.f64 y y) (.f64 z z))`	underflow	13
↳	`(*.f64 z z)`	underflow	101

Confusion

	Predicted +	Predicted -
+	98	1
-	41	116

Precision

0.7050359712230215

Recall

0.98989898989899

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	98	0	1
-	41	0	116

Precision?

0.7050359712230215

Recall?

0.98989898989899

Freqs

test

number	freq
0	117
1	118
2	21

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

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 (60.9% of total)

ival-sqrt: 4.0ms (24.4% of total)

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

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

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

preprocess127.0ms (3.7%)

Memory

39.0MiB live, 130.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	93
1	101	93
2	364	93
3	641	93
4	1529	93
5	3400	93
6	5521	93
7	7433	93
0	8	10
0	13	10
1	27	10
2	87	10
3	229	10
4	407	10
5	840	10
6	1389	10
7	2073	10
8	2900	10
9	3210	10
10	3272	10
11	3272	10
12	3350	10
0	3350	10

Stop Event

1×	iter limit
1×	saturated
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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.0%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify67.0ms (2%)

Memory

-13.6MiB live, 32.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y y)
cost-diff	0	(-.f64 (.f64 y y) (.f64 z z))
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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
0	13	34
1	27	34
2	87	34
3	229	34
4	407	34
5	840	34
6	1389	34
7	2073	34
8	2900	34
9	3210	34
10	3272	34
11	3272	34
12	3350	34
0	3350	34

Stop Event

1×	iter limit
1×	saturated
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

localize26.0ms (0.8%)

Memory

-12.0MiB live, 32.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.015625	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
accuracy	4.183593750000001	(-.f64 (.f64 y y) (.f64 z z))
accuracy	32.42754864817845	(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 (64.6% of total)

ival-sqrt: 2.0ms (25.9% of total)

ival-sub: 1.0ms (12.9% of total)

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

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

series11.0ms (0.3%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

4 → 51

Calls

Call 1

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

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

Calls

9 calls:

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

simplify236.0ms (6.9%)

Memory

21.9MiB live, 257.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1144
1	708	1143
2	3083	1100
0	8534	1028

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 50

Calls

Call 1

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

Outputs
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (* z (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) x)
(+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1))))
(.f64 x (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) y) y (.f64 (sqrt.f64 #s(literal -1 binary64)) z)))
(+ (* 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)))))))
(fma.f64 (.f64 z x) (sqrt.f64 #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (/.f64 x (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) #s(literal 3 binary64))) #s(literal -1/8 binary64)) y) y (.f64 (/.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) #s(literal 1/2 binary64))) (.f64 y y)))
(+ (* 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)))))))))
(fma.f64 x (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) y) y (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (/.f64 (.f64 (.f64 y y) x) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64)))) #s(literal 1/16 binary64) (.f64 (/.f64 x (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) #s(literal 3 binary64))) #s(literal -1/8 binary64)))))
(* z (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) z)
(+ (* 1/2 (/ (pow y 2) (* z (sqrt -1)))) (* z (sqrt -1)))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) y) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) z))
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* z (sqrt -1)))))))
(fma.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) z))) (.f64 y y) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z))
(+ (* 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)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 y (pow.f64 z #s(literal 5 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) #s(literal 3 binary64)))) (.f64 y y) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) z))) (.f64 y y) (.f64 (sqrt.f64 #s(literal -1 binary64)) z))
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(- (pow y 2) (pow z 2))
(*.f64 (+.f64 y z) (-.f64 y z))
(pow y 2)
(*.f64 y y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))
(.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 (*.f64 z z) x) y) x) y)
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))
(.f64 (fma.f64 x (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 z z) y) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64)))) x) y)
(* 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)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 z z) y) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64)))) x)) y)
y
(* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2)))))
(fma.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 (/.f64 z y) (/.f64 z y)) y)
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 z z) y) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64)))) y y)
(* 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)))))))
(.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 z z) y) #s(literal 1 binary64)))) y)
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(.f64 (fma.f64 (neg.f64 z) (/.f64 z (.f64 y y)) #s(literal 1 binary64)) (*.f64 y y))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))))
(.f64 (neg.f64 y) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 (*.f64 z z) x) y) x))
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4)))))))
(.f64 (neg.f64 y) (fma.f64 x (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 z z) y) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64)))) x))
(* -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))))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal -1/16 binary64) x) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 z z) y) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64)))) x)))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2))))))
(.f64 (fma.f64 (.f64 (/.f64 z y) (/.f64 z y)) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4)))))))
(.f64 (+.f64 (fma.f64 (.f64 (/.f64 z y) (/.f64 z y)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) y)
(* -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))))))))
(.f64 (neg.f64 y) (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 z z) y) #s(literal 1 binary64)))))
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y))
(.f64 x (fma.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64) y))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3))))))
(fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64)) z) z (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (.f64 z z) (*.f64 y x))
(+ (* 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))))))))
(fma.f64 (fma.f64 (.f64 (.f64 z z) (/.f64 x (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/16 binary64) (.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (pow.f64 z #s(literal 4 binary64)) (.f64 x (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y)))
(+ y (* -1/2 (/ (pow z 2) y)))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y)
(+ y (* (pow z 2) (- (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y)))))
(fma.f64 (fma.f64 (.f64 z (/.f64 z (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z) 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)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 z (/.f64 z (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 z z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z) y)
(+ (* -1 (pow z 2)) (pow y 2))
(*.f64 (+.f64 y z) (-.f64 y z))
(* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))
(.f64 (.f64 x (fma.f64 (.f64 (/.f64 y (.f64 z z)) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) z)
(* 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)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (.f64 x (fma.f64 (.f64 (/.f64 y (*.f64 z z)) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))) z)
(* 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))))))
(.f64 (fma.f64 x (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/16 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (.f64 x (fma.f64 (.f64 (/.f64 y (.f64 z z)) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))) z)
(* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))
(.f64 (fma.f64 (.f64 (/.f64 y (*.f64 z z)) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) z)
(* 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)))))))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 z z)) (*.f64 y (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) z)
(* 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))))))))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 z z)) (*.f64 y (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) z)
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1))
(.f64 (-.f64 (.f64 (/.f64 y z) (/.f64 y z)) #s(literal 1 binary64)) (*.f64 z z))
(* -1 (* x (* z (sqrt -1))))
(.f64 (.f64 (neg.f64 z) x) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))
(.f64 (neg.f64 z) (.f64 x (fma.f64 (.f64 (/.f64 y (.f64 z z)) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* -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))))))
(.f64 (neg.f64 z) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (.f64 x (fma.f64 (.f64 (/.f64 y (*.f64 z z)) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(* -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)))))))
(.f64 (neg.f64 z) (fma.f64 x (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/16 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (.f64 x (fma.f64 (.f64 (/.f64 y (.f64 z z)) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* z (sqrt -1)))
(*.f64 (neg.f64 z) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))
(.f64 (neg.f64 z) (fma.f64 (.f64 (/.f64 y (*.f64 z z)) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -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))))))))
(.f64 (neg.f64 z) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 z z)) (*.f64 y (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))))
(* -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)))))))))
(.f64 (neg.f64 z) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 z z)) (*.f64 y (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))))))

rewrite108.0ms (3.2%)

Memory

-28.3MiB live, 170.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	13	28
1	45	28
2	356	28
3	4776	28
0	8785	17

Stop Event

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

Counts

4 → 143

Calls

Call 1

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

Outputs
(.f64 (.f64 x (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/4 binary64)))
(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
(.f64 (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/4 binary64)) x))
(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x))
(*.f64 (hypot.f64 z y) x)
(*.f64 x (hypot.f64 z y))
(/.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) x) (hypot.f64 z y))
(/.f64 (.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (hypot.f64 (.f64 z (+.f64 z y)) (*.f64 y y)))
(/.f64 (*.f64 x (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) (hypot.f64 z y))
(/.f64 (.f64 x (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (hypot.f64 (.f64 z (+.f64 z y)) (*.f64 y y)))
(.f64 (pow.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)) (-.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (.f64 z y) #s(literal 4 binary64))))) #s(literal 1/2 binary64)) (hypot.f64 (.f64 z (+.f64 z y)) (.f64 y y)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (pow.f64 (.f64 z (+.f64 z y)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 z (+.f64 z y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 z (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))))
(*.f64 (pow.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)))) #s(literal 1/2 binary64)) (hypot.f64 z y))
(.f64 (pow.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)))) #s(literal 1/2 binary64)) (hypot.f64 (.f64 z (+.f64 z y)) (*.f64 y y)))
(.f64 (pow.f64 (.f64 (fma.f64 z z (*.f64 y y)) (-.f64 y z)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 z z (*.f64 y y)) (+.f64 z y)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)))
(.f64 (neg.f64 (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/4 binary64))))
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eval23.0ms (0.7%)

Memory: -6.9MiB live, 38.1MiB allocated
Compiler: Compiled 4 447 to 826 computations (81.4% saved)

prune3.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	189	3	192
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	190	3	193

Accuracy

100.0%

Counts

193 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
▶	99.3%	(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x))
▶	99.3%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))

Compiler

Compiled 36 to 28 computations (22.2% saved)

simplify79.0ms (2.3%)

Memory

24.4MiB live, 70.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 z y)
cost-diff	0	(sqrt.f64 (+.f64 z y))
cost-diff	0	(*.f64 x (sqrt.f64 (+.f64 z y)))
cost-diff	0	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
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))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	87
0	27	87
1	49	87
2	111	87
3	253	87
4	437	87
5	872	87
6	1430	87
7	2119	87
8	2968	87
9	3299	87
10	3373	87
11	3377	87
12	3377	87
13	3506	87
14	3540	87
0	3540	87

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize100.0ms (2.9%)

Memory

-26.9MiB live, 68.1MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sqrt.f64 (-.f64 y z))
accuracy	0.01171875	(sqrt.f64 (+.f64 z y))
accuracy	0.171875	(*.f64 x (sqrt.f64 (+.f64 z y)))
accuracy	0.28125	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
accuracy	0.00390625	(sqrt.f64 (-.f64 y z))
accuracy	0.01171875	(sqrt.f64 (+.f64 z y))
accuracy	0.1640625	(*.f64 (sqrt.f64 (-.f64 y z)) x)
accuracy	0.28515625	(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x))
accuracy	0.0	(*.f64 y x)
accuracy	0.437711799437464	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))

Samples

89.0ms

256×

valid

Compiler

Compiled 85 to 19 computations (77.6% saved)

Precisions

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

ival-sqrt: 53.0ms (70.6% of total)

ival-mult: 11.0ms (14.6% of total)

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

ival-sub: 2.0ms (2.7% of total)

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

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

series38.0ms (1.1%)

Memory

22.0MiB live, 65.2MiB allocated

Counts

9 → 136

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	y	@	-inf	((* x (sqrt (- (* y y) (* z z)))) (* y x) (* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (- y z)))
4.0ms	z	@	inf	((* x (sqrt (- (* y y) (* z z)))) (* y x) (* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (- y z)))
4.0ms	x	@	0	((* x (sqrt (- (* y y) (* z z)))) (* y x) (* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (- y z)))
3.0ms	y	@	0	((* x (sqrt (- (* y y) (* z z)))) (* y x) (* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (- y z)))
3.0ms	y	@	inf	((* x (sqrt (- (* y y) (* z z)))) (* y x) (* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (- y z)))

simplify164.0ms (4.8%)

Memory

22.4MiB live, 253.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	749	4151
1	2838	3704
0	8741	3493

Stop Event

1×	iter limit
1×	node limit

Counts

136 → 134

Calls

Call 1

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

Outputs
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 y (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) x)
(* x y)
(*.f64 y x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 y (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) x)
(* x (sqrt (- y z)))
(*.f64 (sqrt.f64 (-.f64 y z)) x)
(* x (sqrt (+ y z)))
(*.f64 (sqrt.f64 (+.f64 z y)) x)
(* x (* z (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) x)
(+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 (.f64 y y) x) z) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) x))
(+ (* 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)))))))
(fma.f64 (.f64 z x) (sqrt.f64 #s(literal -1 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 x z) (/.f64 (.f64 (.f64 (.f64 y y) x) #s(literal -1/8 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) #s(literal 3 binary64)))) (*.f64 y y)))
(+ (* 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)))))))))
(fma.f64 (.f64 z x) (sqrt.f64 #s(literal -1 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 x z) (.f64 (fma.f64 (.f64 (.f64 y (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 x (pow.f64 z #s(literal 5 binary64)))) #s(literal 1/16 binary64) (.f64 (/.f64 x (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) #s(literal 3 binary64))) #s(literal -1/8 binary64))) (.f64 y y))) (*.f64 y y)))
(+ (* 1/2 (/ (* x (* y (+ z (* -1 z)))) (* z (sqrt -1)))) (* x (* z (sqrt -1))))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) z) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) x))
(+ (* x (* z (sqrt -1))) (* y (+ (* 1/2 (/ (* x (* y (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2))))))) (* z (sqrt -1)))) (* 1/2 (/ (* x (+ z (* -1 z))) (* z (sqrt -1)))))))
(fma.f64 (.f64 z x) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 y (.f64 (/.f64 #s(literal 0 binary64) (.f64 z z)) y)) x (.f64 #s(literal 0 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z))) y))
(+ (* 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)))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (.f64 z z))) (/.f64 x z)) (.f64 (.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (.f64 z z))) (/.f64 x (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) #s(literal 3 binary64)))) #s(literal -1/4 binary64))) y (.f64 (.f64 #s(literal 0 binary64) (/.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) z))) #s(literal 1/2 binary64))) y (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) x))
(sqrt z)
(sqrt.f64 z)
(+ (sqrt z) (* 1/2 (* y (sqrt (/ 1 z)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(+ (sqrt z) (* y (+ (* -1/8 (* y (sqrt (/ 1 (pow z 3))))) (* 1/2 (sqrt (/ 1 z))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) y (sqrt.f64 z))
(+ (sqrt z) (* y (+ (* 1/2 (sqrt (/ 1 z))) (* y (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/16 (* y (sqrt (/ 1 (pow z 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64))) y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) y (sqrt.f64 z))
z
(+ y z)
(+.f64 z y)
(* (* x (sqrt -1)) (sqrt z))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 z))
(+ (* 1/2 (* (/ (* x y) (sqrt -1)) (sqrt (/ 1 z)))) (* (* x (sqrt -1)) (sqrt z)))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 z)))
(+ (* y (+ (* -1/8 (* (/ (* x y) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow z 3))))) (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 z)))))) (* (* x (sqrt -1)) (sqrt z)))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 y x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) y (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 z)))
(+ (* y (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 z)))) (* y (+ (* -1/8 (* (/ x (pow (sqrt -1) 3)) (sqrt (/ 1 (pow z 3))))) (* 1/16 (* (/ (* x y) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow z 5))))))))) (* (* x (sqrt -1)) (sqrt z)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 y x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) y (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) y (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 z)))
(* x (sqrt z))
(*.f64 (sqrt.f64 z) x)
(+ (* 1/2 (* (* x y) (sqrt (/ 1 z)))) (* x (sqrt z)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 z) x))
(+ (* x (sqrt z)) (* y (+ (* -1/8 (* (* x y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (* x (sqrt (/ 1 z)))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) y (*.f64 (sqrt.f64 z) x))
(+ (* x (sqrt z)) (* y (+ (* 1/2 (* x (sqrt (/ 1 z)))) (* y (+ (* -1/8 (* x (sqrt (/ 1 (pow z 3))))) (* 1/16 (* (* x y) (sqrt (/ 1 (pow z 5))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) y)) y (*.f64 (sqrt.f64 z) x))
(* (sqrt z) (sqrt -1))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (/ y (sqrt -1)) (sqrt (/ 1 z)))) (* (sqrt z) (sqrt -1)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))
(+ (* 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)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) y (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))
(+ (* 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)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) #s(literal -1/8 binary64))) y (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) y (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))
(.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 (*.f64 z z) x) y) x) y)
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))
(.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 (.f64 z z) x) y) x)) y)
(* 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)))))))
(.f64 (-.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 (.f64 z z) x) y) x)) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 z #s(literal 6 binary64)) x)) (pow.f64 y #s(literal 6 binary64)))) y)
(* y (+ x (* 1/2 (/ (* x (+ z (* -1 z))) y))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) y) #s(literal 1/2 binary64) x) 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))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 0 binary64)) (*.f64 y y)))) x) y)
(* 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)))))))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (neg.f64 z) z #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 0 binary64)) (*.f64 y y)))) x)) y)
(sqrt y)
(sqrt.f64 y)
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* (sqrt (/ 1 (pow y 3))) z))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (pow z 2))) (* 1/2 (* (sqrt (/ 1 (pow y 3))) z)))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 z z)) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* 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))))))
(.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 z z)) #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/16 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
y
(* y (+ 1 (/ z y)))
(fma.f64 (/.f64 z y) y y)
(* x (sqrt y))
(*.f64 (sqrt.f64 y) x)
(* y (+ (* -1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (* x (sqrt (/ 1 y)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 z x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x)) 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))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 z x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 z z) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x))) 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)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 z x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 z z) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x)))) y)
(* y (+ (* 1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (* x (sqrt (/ 1 y)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 z x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x)) y)
(* y (+ (* -1/8 (* (* x (pow z 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (* x (sqrt (/ 1 y))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 z z) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 z x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x))) y)
(* y (+ (* -1/8 (* (* x (pow z 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* x (pow z 3)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (* x (sqrt (/ 1 y)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 z z) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 z x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x)))) y)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* (sqrt (/ 1 (pow y 3))) z))))
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(.f64 (neg.f64 z) (fma.f64 (.f64 (.f64 x (/.f64 (.f64 y y) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(* -1 (* (sqrt z) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* z (+ (* 1/2 (* (* y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1)))))
(.f64 (neg.f64 z) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* z (+ (* -1/8 (* (* (pow y 2) (sqrt -1)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (* y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1))))))
(.f64 (neg.f64 z) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* z (+ (* -1/8 (* (* (pow y 2) (sqrt -1)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (* (pow y 3) (sqrt -1)) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (* y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1)))))))
(.f64 (neg.f64 z) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64)))))))

rewrite85.0ms (2.5%)

Memory

-14.0MiB live, 131.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	62
0	27	62
1	86	60
2	587	54
0	9995	45

Stop Event

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

Counts

9 → 243

Calls

Call 1

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

Outputs
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)
(.f64 (.f64 (*.f64 (sqrt.f64 (-.f64 z y)) x) (pow.f64 (-.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (-.f64 z y) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 z y) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 z y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (-.f64 z y)) x)))
(.f64 (.f64 (sqrt.f64 (-.f64 z y)) x) (sqrt.f64 (-.f64 z y)))
(.f64 (sqrt.f64 (-.f64 z y)) (.f64 (sqrt.f64 (-.f64 z y)) x))
(*.f64 (hypot.f64 z y) x)
(*.f64 x (hypot.f64 z y))
(/.f64 (.f64 (hypot.f64 z y) (.f64 (sqrt.f64 (-.f64 z y)) x)) (sqrt.f64 (-.f64 z y)))
(/.f64 (.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (.f64 (sqrt.f64 (-.f64 z y)) x)) (sqrt.f64 (fma.f64 z (-.f64 z y) (*.f64 y y))))
(/.f64 (.f64 (.f64 (hypot.f64 z y) (hypot.f64 z y)) x) (hypot.f64 z y))
(/.f64 (.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (hypot.f64 (.f64 z (-.f64 z y)) (*.f64 y y)))
(/.f64 (.f64 (.f64 (sqrt.f64 (-.f64 z y)) x) (hypot.f64 z y)) (sqrt.f64 (-.f64 z y)))
(/.f64 (.f64 (.f64 (sqrt.f64 (-.f64 z y)) x) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 z (-.f64 z y) (*.f64 y y))))
(/.f64 (.f64 x (.f64 (hypot.f64 z y) (hypot.f64 z y))) (hypot.f64 z y))
(/.f64 (.f64 x (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (hypot.f64 (.f64 z (-.f64 z y)) (*.f64 y y)))
(*.f64 (/.f64 (hypot.f64 z y) (hypot.f64 z y)) (sqrt.f64 (-.f64 z y)))
(.f64 (/.f64 (hypot.f64 z y) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 z (-.f64 z y) (.f64 y y))))
(.f64 (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/8 binary64)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 z y)) (pow.f64 (-.f64 z y) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (-.f64 z y)) (pow.f64 (-.f64 z y) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 (-.f64 z y) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (-.f64 z y) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 z y) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (-.f64 z y) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 z z (.f64 y 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 z y))) (sqrt.f64 (-.f64 z y)))
(.f64 (pow.f64 (/.f64 (fma.f64 z z (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 z (-.f64 z y) (*.f64 y y))))
(*.f64 (pow.f64 (/.f64 (-.f64 z y) (-.f64 z y)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 z y)))
(*.f64 (pow.f64 (-.f64 z y) #s(literal 1/4 binary64)) (pow.f64 (-.f64 z y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 z y)) (sqrt.f64 (/.f64 (-.f64 z y) (-.f64 z y))))
(*.f64 (sqrt.f64 (-.f64 z y)) (pow.f64 (/.f64 (-.f64 z y) (-.f64 z y)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (-.f64 z y))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 z y) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/4 binary64))
(/.f64 (/.f64 (hypot.f64 z y) (pow.f64 (-.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (-.f64 z y) #s(literal 1/4 binary64)))
(/.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 z (-.f64 z y) (*.f64 y y)))))
(/.f64 (neg.f64 (hypot.f64 z y)) (neg.f64 (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 z (-.f64 z y) (*.f64 y y))))
(/.f64 (.f64 (hypot.f64 z y) (hypot.f64 z y)) (sqrt.f64 (.f64 (-.f64 z y) (fma.f64 z z (*.f64 y y)))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 z y))))
(/.f64 (hypot.f64 z y) (sqrt.f64 (-.f64 z y)))
(sqrt.f64 (-.f64 z y))
(hypot.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)))
(hypot.f64 (pow.f64 z #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 y)))
(hypot.f64 (pow.f64 z #s(literal 1/2 binary64)) (sqrt.f64 y))
(hypot.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)))
(hypot.f64 (pow.f64 y #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 z)))
(hypot.f64 (pow.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
(hypot.f64 (sqrt.f64 (neg.f64 y)) (pow.f64 z #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 z)))
(hypot.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 z))
(hypot.f64 (sqrt.f64 y) (pow.f64 z #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 z)))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 z))
(hypot.f64 (sqrt.f64 (neg.f64 z)) (pow.f64 y #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 y)))
(hypot.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 z) (pow.f64 y #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 z) (sqrt.f64 (neg.f64 y)))
(hypot.f64 (sqrt.f64 z) (sqrt.f64 y))
(exp.f64 (-.f64 (.f64 (log.f64 (fma.f64 z z (.f64 y y))) #s(literal 1/2 binary64)) (*.f64 (log.f64 (-.f64 z y)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 z z (.f64 y y))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 z y)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (-.f64 z y)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (-.f64 z y)) #s(literal 1/2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y (-.f64 z y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z (-.f64 z y) (*.f64 y y)))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 z (-.f64 z y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 z (-.f64 z y)) (-.f64 (.f64 z (-.f64 z y)) (.f64 y y)))))
(.f64 (/.f64 (fma.f64 z z (.f64 y y)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 z y)))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 z y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y (-.f64 z y)) (fma.f64 z (-.f64 z y) (*.f64 y y)))))
(.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 (-.f64 z y) (fma.f64 z z (.f64 y y))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y (-.f64 z y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 y (-.f64 z y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (-.f64 z y))
(.f64 (/.f64 (-.f64 z y) (/.f64 (fma.f64 z z (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (-.f64 z y) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(*.f64 (/.f64 (-.f64 z y) (-.f64 z y)) (-.f64 z y))
(.f64 (/.f64 (fma.f64 z z (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (*.f64 y y)))
(*.f64 (-.f64 z y) (/.f64 (-.f64 z y) (-.f64 z y)))
(/.f64 (/.f64 (fma.f64 z z (*.f64 y y)) (/.f64 (-.f64 z y) (-.f64 z y))) (-.f64 z y))
(/.f64 (/.f64 (fma.f64 z z (.f64 y y)) (/.f64 (fma.f64 z z (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 z (-.f64 z y) (*.f64 y y)))
(/.f64 (.f64 (/.f64 (-.f64 z y) (-.f64 z y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (.f64 y y)))
(/.f64 (.f64 (/.f64 (fma.f64 z z (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (pow.f64 (.f64 y (-.f64 z y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z (-.f64 z y) (.f64 y y)))
(/.f64 (.f64 (/.f64 (fma.f64 z z (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 z y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y (-.f64 z y)) (fma.f64 z (-.f64 z y) (.f64 y y)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y)))) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))))) (-.f64 z y))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y y) (-.f64 z y)) (/.f64 (.f64 y y) (-.f64 z y))) (.f64 (/.f64 (.f64 z z) (-.f64 z y)) (/.f64 (.f64 z z) (-.f64 z y)))) (-.f64 z y))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z z) (-.f64 z y)) (/.f64 (.f64 z z) (-.f64 z y))) (.f64 (/.f64 (.f64 y y) (-.f64 z y)) (/.f64 (.f64 y y) (-.f64 z y)))) (-.f64 z y))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y)))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))))) (-.f64 z y))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (*.f64 y y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y y) (-.f64 z y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z z) (-.f64 z y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 y y) (-.f64 z y)) (/.f64 (.f64 y y) (-.f64 z y)) (fma.f64 (/.f64 (.f64 z z) (-.f64 z y)) (/.f64 (.f64 z z) (-.f64 z y)) (.f64 (/.f64 (.f64 y y) (-.f64 z y)) (/.f64 (*.f64 z z) (-.f64 z y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 z z) (-.f64 z y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (-.f64 z y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 z z) (-.f64 z y)) (/.f64 (.f64 z z) (-.f64 z y)) (fma.f64 (/.f64 (.f64 y y) (-.f64 z y)) (/.f64 (.f64 y y) (-.f64 z y)) (.f64 (/.f64 (.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 y y) (-.f64 z y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z z) (-.f64 z y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 y y) (-.f64 z y)) (/.f64 (.f64 y y) (-.f64 z y)) (-.f64 (.f64 (/.f64 (.f64 z z) (-.f64 z y)) (/.f64 (.f64 z z) (-.f64 z y))) (.f64 (/.f64 (.f64 y y) (-.f64 z y)) (/.f64 (.f64 z z) (-.f64 z y))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y)))) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y)))))))
(/.f64 (.f64 (fma.f64 z z (.f64 y y)) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 z y)) #s(literal 3 binary64)))) (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y (-.f64 z y)) (fma.f64 z (-.f64 z y) (*.f64 y y))))))
(/.f64 (.f64 (fma.f64 z z (.f64 y y)) (fma.f64 z (-.f64 z y) (*.f64 y y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 z z (.f64 y y)) (-.f64 (pow.f64 (.f64 y (-.f64 z y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (.f64 (fma.f64 z (-.f64 z y) (.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 y (-.f64 z y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))
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(hypot.f64 (pow.f64 z #s(literal 1/2 binary64)) (sqrt.f64 y))
(hypot.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)))
(hypot.f64 (pow.f64 y #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 z)))
(hypot.f64 (pow.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
(hypot.f64 (sqrt.f64 (neg.f64 y)) (pow.f64 z #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 z)))
(hypot.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 z))
(hypot.f64 (sqrt.f64 y) (pow.f64 z #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 z)))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 z))
(hypot.f64 (sqrt.f64 (neg.f64 z)) (pow.f64 y #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 y)))
(hypot.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 z) (pow.f64 y #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 z) (sqrt.f64 (neg.f64 y)))
(hypot.f64 (sqrt.f64 z) (sqrt.f64 y))
(exp.f64 (-.f64 (.f64 (log.f64 (fma.f64 z z (.f64 y y))) #s(literal 1/2 binary64)) (*.f64 (log.f64 (-.f64 z y)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 z z (.f64 y y))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 z y)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (-.f64 z y)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (-.f64 z y)) #s(literal 1/2 binary64))))

eval57.0ms (1.7%)

Memory: 7.4MiB live, 93.4MiB allocated
Compiler: Compiled 15 820 to 1 795 computations (88.7% saved)

prune57.0ms (1.7%)

Memory

1.6MiB live, 61.8MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	505	0	505
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	505	3	508

Accuracy

100.0%

Counts

508 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
✓	99.3%	(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x))
✓	99.3%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))

Compiler

Compiled 82 to 51 computations (37.8% saved)

regimes18.0ms (0.5%)

Memory

-23.4MiB live, 69.7MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`y`
99.4%	1	`z`
99.4%	1	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
99.4%	1	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
99.4%	1	`(-.f64 (.f64 y y) (.f64 z z))`
99.4%	1	`(*.f64 y y)`
99.4%	1	`(*.f64 z z)`

Compiler

Compiled 34 to 38 computations (-11.8% saved)

regimes28.0ms (0.8%)

Memory

-8.8MiB live, 35.8MiB allocated

Counts

3 → 1

Calls

Call 1

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

17.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
1.0ms	(.f64 x (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)

regimes10.0ms (0.3%)

Memory

18.2MiB live, 18.2MiB allocated

Accuracy

Total -23.3b remaining (-5314.2%)

Threshold costs -23.3b (-5314.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

simplify59.0ms (1.7%)

Memory

-18.6MiB live, 34.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	36
1	34	36
2	99	36
3	242	36
4	420	36
5	847	36
6	1398	36
7	2082	36
8	2919	36
9	3229	36
10	3291	36
11	3291	36
12	3369	36

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness381.0ms (11.1%)

Memory

-0.2MiB live, 234.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	13	28
1	45	28
2	356	28
3	4776	28
0	8785	17
0	205	1144
1	708	1143
2	3083	1100
0	8534	1028

Stop Event

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

Compiler

Compiled 81 to 50 computations (38.3% saved)

preprocess45.0ms (1.3%)

Memory: 41.7MiB live, 41.7MiB allocated
Remove: (negabs x)
Compiler: Compiled 240 to 170 computations (29.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze129.0ms (3.8%)

sample1.5s (42.5%)

explain116.0ms (3.4%)

preprocess127.0ms (3.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify67.0ms (2%)

localize26.0ms (0.8%)

series11.0ms (0.3%)

simplify236.0ms (6.9%)

rewrite108.0ms (3.2%)

eval23.0ms (0.7%)

prune3.0ms (0.1%)

simplify79.0ms (2.3%)

localize100.0ms (2.9%)

series38.0ms (1.1%)

simplify164.0ms (4.8%)

rewrite85.0ms (2.5%)

eval57.0ms (1.7%)

prune57.0ms (1.7%)

regimes18.0ms (0.5%)

regimes28.0ms (0.8%)

regimes10.0ms (0.3%)

simplify59.0ms (1.7%)

soundness381.0ms (11.1%)

preprocess45.0ms (1.3%)

end0.0ms (0%)

Profiling