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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze155.0ms (3.3%)

Memory

27.9MiB live, 167.7MiB allocated; 23ms collecting garbage

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)

sample1.4s (28.8%)

Memory

73.4MiB live, 2 696.9MiB allocated; 496ms collecting garbage

Samples

717.0ms	8 256×	0	valid
242.0ms	2 478×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 579.0ms

ival-mult: 405.0ms (69.9% of total)

ival-sqrt: 105.0ms (18.1% of total)

ival-sub: 55.0ms (9.5% of total)

ival-true: 7.0ms (1.2% of total)

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

adjust: 3.0ms (0.5% of total)

Bogosity

explain108.0ms (2.3%)

Memory

-17.7MiB live, 403.7MiB allocated; 31ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
142	-	1	(1.3708803224275403e+240 1.0629681799143697e-159 2.1568354126082594e-212)	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
14	-	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	125	0
↳	`(*.f64 y y)`	overflow	125
↳	`(-.f64 (.f64 y y) (.f64 z z))`	overflow	125
↳	`(*.f64 z z)`	overflow	14
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`	uflow-rescue	16	0
↳	`(*.f64 y y)`	underflow	16
↳	`(-.f64 (.f64 y y) (.f64 z z))`	underflow	16
↳	`(*.f64 z z)`	underflow	108
`-.f64`	`(-.f64 (.f64 y y) (.f64 z z))`	nan-rescue	14	0
↳	`(*.f64 y y)`	overflow	125
↳	`(*.f64 z z)`	overflow	14

Confusion

	Predicted +	Predicted -
+	104	1
-	37	114

Precision

0.7375886524822695

Recall

0.9904761904761905

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	104	0	1
-	37	0	114

Precision?

0.7375886524822695

Recall?

0.9904761904761905

Freqs

test

number	freq
0	115
1	127
2	14

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 82 to 28 computations (65.9% saved)

Precisions

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

ival-mult: 16.0ms (68.7% of total)

ival-sqrt: 4.0ms (17.2% of total)

ival-sub: 2.0ms (8.6% of total)

ival-true: 1.0ms (4.3% of total)

adjust: 0.0ms (0% of total)

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

preprocess136.0ms (2.9%)

Memory

12.1MiB live, 170.9MiB allocated; 26ms collecting garbage

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: 0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.0%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

series16.0ms (0.3%)

Memory

19.3MiB live, 63.2MiB allocated; 4ms collecting garbage

Counts

8 → 54

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
(* x (sqrt (- (pow y 2) (pow z 2))))
x
(* 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)
y
(* x y)
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))
(* 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))
(pow z 2)
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 (+ (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
4.0ms	x	@	-inf	((* x (sqrt (- (* y y) (* z z)))) x (sqrt (- (* y y) (* z z))) (- (* y y) (* z z)) (* y y) y (* z z) z)
2.0ms	y	@	inf	((* x (sqrt (- (* y y) (* z z)))) x (sqrt (- (* y y) (* z z))) (- (* y y) (* z z)) (* y y) y (* z z) z)
2.0ms	z	@	inf	((* x (sqrt (- (* y y) (* z z)))) x (sqrt (- (* y y) (* z z))) (- (* y y) (* z z)) (* y y) y (* z z) z)
1.0ms	y	@	0	((* x (sqrt (- (* y y) (* z z)))) x (sqrt (- (* y y) (* z z))) (- (* y y) (* z z)) (* y y) y (* z z) z)
1.0ms	x	@	0	((* x (sqrt (- (* y y) (* z z)))) x (sqrt (- (* y y) (* z z))) (- (* y y) (* z z)) (* y y) y (* z z) z)

simplify197.0ms (4.2%)

Memory

8.5MiB live, 371.2MiB allocated; 42ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1149
1	708	1148
2	3083	1105
0	8534	1033

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 51

Calls

Call 1

Inputs
(* x (sqrt (- (pow y 2) (pow z 2))))
x
(* 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)
y
(* x y)
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))
(* 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))
(pow z 2)
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 (+ (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
(* 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)
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 (+ 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))
(pow z 2)
(*.f64 z z)
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))))))

rewrite111.0ms (2.3%)

Memory

-1.3MiB live, 231.1MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
0	13	34
1	45	34
2	356	34
3	4776	34
0	8785	23

Stop Event

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

Counts

8 → 202

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

eval64.0ms (1.4%)

Memory: -20.9MiB live, 184.2MiB allocated; 41ms collecting garbage
Compiler: Compiled 5 876 to 1 257 computations (78.6% saved)

prune4.0ms (0.1%)

Memory

26.0MiB live, 26.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	285	3	288
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	286	3	289

Accuracy

100.0%

Counts

289 → 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)))
▶	63.8%	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))))
▶	99.4%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

series38.0ms (0.8%)

Memory

1.0MiB live, 99.2MiB allocated; 9ms collecting garbage

Counts

14 → 157

Calls

Call 1

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

Outputs
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x y)
x
(* x (sqrt (* (+ y z) (- 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)))))))))
y
(+ (* 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)))))))))
(* z (sqrt -1))
(+ (* 1/2 (/ (* y (+ z (* -1 z))) (* z (sqrt -1)))) (* z (sqrt -1)))
(+ (* y (+ (* 1/2 (/ (* y (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2)))))) (* z (sqrt -1)))) (* 1/2 (/ (+ z (* -1 z)) (* z (sqrt -1)))))) (* z (sqrt -1)))
(+ (* y (+ (* 1/2 (/ (+ z (* -1 z)) (* z (sqrt -1)))) (* y (+ (* -1/4 (/ (* y (* (+ z (* -1 z)) (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2))))))) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2))))) (* z (sqrt -1)))))))) (* z (sqrt -1)))
(* -1 (pow z 2))
(+ (* -1 (pow z 2)) (* y (+ z (* -1 z))))
(+ (* -1 (pow z 2)) (* y (+ y (+ z (* -1 z)))))
(* -1 z)
(- y z)
z
(+ y 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 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))))))))))
(* (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)))))))
(* y (+ 1 (* 1/2 (/ (+ z (* -1 z)) y))))
(* y (+ 1 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2))) (pow y 2))))))
(* y (+ 1 (+ (* -1/4 (/ (* (+ z (* -1 z)) (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2)))) (pow y 3))) (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2))) (pow y 2)))))))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y)))))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (/ z y)))
(* x (sqrt y))
(* y (+ (* 1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (* x (sqrt (/ 1 y)))))
(* y (+ (* -1/8 (* (* 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)))))))
(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 (+ (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 (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1/2 (/ (+ z (* -1 z)) y)) (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2)))) y)) (* 1/2 (+ z (* -1 z)))) y)) (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ z (* -1 z)) (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2))))) (* y (pow (sqrt -1) 2)))) (* 1/2 (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2)))))) y)) (* 1/2 (+ z (* -1 z)))) y)) (pow (sqrt -1) 2))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) y)) y))))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt 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 (* (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 (+ (* 1/2 (* (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))))))))
(+ y (* 1/2 (/ (* z (+ y (* -1 y))) y)))
(+ y (* z (+ (* -1/2 (/ (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/2 (/ (+ y (* -1 y)) y)))))
(+ y (* z (+ (* 1/2 (/ (+ y (* -1 y)) y)) (* z (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) y)) (* 1/4 (/ (* z (* (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) (+ y (* -1 y)))) (pow y 3))))))))
(+ (* z (+ y (* -1 y))) (pow y 2))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (pow y 2))
(+ y (* -1 z))
(+ (* 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 (+ (* -1/8 (* (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)))))))
(+ (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) (* 1/2 (/ (+ y (* -1 y)) (* z (sqrt -1))))))
(* z (+ (sqrt -1) (+ (* 1/2 (/ (+ y (* -1 y)) (* z (sqrt -1)))) (* 1/2 (/ (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2)))) (* (pow z 2) (sqrt -1)))))))
(* z (+ (sqrt -1) (+ (* -1/4 (/ (* (+ 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 (/ (+ y (* -1 y)) (* z (sqrt -1)))) (* 1/2 (/ (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2)))) (* (pow z 2) (sqrt -1))))))))
(* (pow z 2) (- (+ (* -1 (/ y z)) (/ y z)) 1))
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (/ (pow y 2) (pow z 2)))) 1))
(* z (- (/ y z) 1))
(* z (+ 1 (/ y 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 (+ (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 (+ (* 1/2 (* (/ 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 (* z (sqrt -1)))
(* -1 (* z (+ (sqrt -1) (* -1/2 (/ (+ y (* -1 y)) (* z (sqrt -1)))))))
(* -1 (* z (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2)))) (* z (sqrt -1)))) (* 1/2 (/ (+ y (* -1 y)) (sqrt -1)))) z)))))
(* -1 (* z (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ y (* -1 y)) (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2))))) (* z (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) z)) (* 1/2 (/ (+ y (* -1 y)) (sqrt -1)))) z)))))
(* (pow z 2) (- (* -1 (/ (+ y (* -1 y)) z)) 1))
(* (pow z 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) z)))) z)) 1))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -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) (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 (* (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
7.0ms	y	@	-inf	((* x (sqrt (- (* y y) (* z z)))) (* y x) y x (* x (sqrt (* (- y z) (+ z y)))) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) z (+ z y) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (sqrt (- y z)))
7.0ms	y	@	inf	((* x (sqrt (- (* y y) (* z z)))) (* y x) y x (* x (sqrt (* (- y z) (+ z y)))) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) z (+ z y) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (sqrt (- y z)))
5.0ms	x	@	0	((* x (sqrt (- (* y y) (* z z)))) (* y x) y x (* x (sqrt (* (- y z) (+ z y)))) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) z (+ z y) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (sqrt (- y z)))
4.0ms	z	@	inf	((* x (sqrt (- (* y y) (* z z)))) (* y x) y x (* x (sqrt (* (- y z) (+ z y)))) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) z (+ z y) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (sqrt (- y z)))
3.0ms	y	@	0	((* x (sqrt (- (* y y) (* z z)))) (* y x) y x (* x (sqrt (* (- y z) (+ z y)))) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) z (+ z y) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (sqrt (- y z)))

simplify217.0ms (4.6%)

Memory

1.6MiB live, 229.5MiB allocated; 38ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	820	4202
1	3144	3280
0	9443	3085

Stop Event

1×	iter limit
1×	node limit

Counts

157 → 154

Calls

Call 1

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

rewrite183.0ms (3.9%)

Memory

-1.7MiB live, 191.8MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	76
0	29	75
1	94	75
2	684	75
0	9188	75

Stop Event

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

Counts

14 → 606

Calls

Call 1

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

eval378.0ms (8%)

Memory: -75.7MiB live, 358.5MiB allocated; 114ms collecting garbage
Compiler: Compiled 26 813 to 4 012 computations (85% saved)

prune22.0ms (0.5%)

Memory

12.9MiB live, 58.8MiB allocated; 3ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	980	1	981
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	980	4	984

Accuracy

100.0%

Counts

984 → 4

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)))
✓	63.8%	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))))
▶	99.4%	(.f64 x #s(approx (sqrt ( (- y z) (+ z y))) (fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z y)))
✓	99.4%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))

Compiler

Compiled 54 to 40 computations (25.9% saved)

simplify0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

series11.0ms (0.2%)

Memory

26.0MiB live, 26.0MiB allocated; 0ms collecting garbage

Counts

9 → 55

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	((* x (sqrt (* (- y z) (+ z y)))) x (sqrt (* (- y z) (+ z y))) (+ (* (* (/ z y) -1/2) z) y) (* (/ z y) -1/2) (/ z y) z y -1/2)
1.0ms	z	@	-inf	((* x (sqrt (* (- y z) (+ z y)))) x (sqrt (* (- y z) (+ z y))) (+ (* (* (/ z y) -1/2) z) y) (* (/ z y) -1/2) (/ z y) z y -1/2)
1.0ms	y	@	-inf	((* x (sqrt (* (- y z) (+ z y)))) x (sqrt (* (- y z) (+ z y))) (+ (* (* (/ z y) -1/2) z) y) (* (/ z y) -1/2) (/ z y) z y -1/2)
1.0ms	y	@	inf	((* x (sqrt (* (- y z) (+ z y)))) x (sqrt (* (- y z) (+ z y))) (+ (* (* (/ z y) -1/2) z) y) (* (/ z y) -1/2) (/ z y) z y -1/2)
1.0ms	y	@	0	((* x (sqrt (* (- y z) (+ z y)))) x (sqrt (* (- y z) (+ z y))) (+ (* (* (/ z y) -1/2) z) y) (* (/ z y) -1/2) (/ z y) z y -1/2)

simplify125.0ms (2.7%)

Memory

-20.8MiB live, 209.8MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	342	1479
1	1361	845
0	8492	776

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 52

Calls

Call 1

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

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

rewrite167.0ms (3.5%)

Memory

-7.3MiB live, 243.7MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	56
0	18	56
1	73	56
2	519	56
0	8420	56

Stop Event

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

Counts

9 → 93

Calls

Call 1

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

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

eval16.0ms (0.3%)

Memory: 28.1MiB live, 28.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 5 900 to 671 computations (88.6% saved)

prune34.0ms (0.7%)

Memory

-30.1MiB live, 13.6MiB allocated; 7ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	137	5	142

Accuracy

100.0%

Counts

142 → 5

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)))
✓	63.8%	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))))
✓	99.4%	(.f64 x #s(approx (sqrt ( (- y z) (+ z y))) (fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z y)))
✓	99.4%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))
▶	99.4%	#s(approx (* x (sqrt (* (- y z) (+ z y)))) (fma.f64 (.f64 (.f64 (/.f64 z y) x) #s(literal -1/2 binary64)) z (*.f64 y x)))

Compiler

Compiled 77 to 55 computations (28.6% saved)

simplify0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

series25.0ms (0.5%)

Memory

9.9MiB live, 53.9MiB allocated; 6ms collecting garbage

Counts

10 → 37

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	z	@	-inf	((* x (sqrt (* (- y z) (+ z y)))) (+ (* (* (* (/ z y) x) -1/2) z) (* y x)) (* (* (/ z y) x) -1/2) (* (/ z y) x) (/ z y) z y x -1/2 (* y x))
5.0ms	z	@	inf	((* x (sqrt (* (- y z) (+ z y)))) (+ (* (* (* (/ z y) x) -1/2) z) (* y x)) (* (* (/ z y) x) -1/2) (* (/ z y) x) (/ z y) z y x -1/2 (* y x))
2.0ms	x	@	-inf	((* x (sqrt (* (- y z) (+ z y)))) (+ (* (* (* (/ z y) x) -1/2) z) (* y x)) (* (* (/ z y) x) -1/2) (* (/ z y) x) (/ z y) z y x -1/2 (* y x))
2.0ms	x	@	0	((* x (sqrt (* (- y z) (+ z y)))) (+ (* (* (* (/ z y) x) -1/2) z) (* y x)) (* (* (/ z y) x) -1/2) (* (/ z y) x) (/ z y) z y x -1/2 (* y x))
2.0ms	y	@	0	((* x (sqrt (* (- y z) (+ z y)))) (+ (* (* (* (/ z y) x) -1/2) z) (* y x)) (* (* (/ z y) x) -1/2) (* (/ z y) x) (/ z y) z y x -1/2 (* y x))

simplify164.0ms (3.5%)

Memory

-2.4MiB live, 228.3MiB allocated; 34ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	953
1	900	638
2	5005	614
0	8095	567

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 34

Calls

Call 1

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

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

rewrite183.0ms (3.9%)

Memory

9.5MiB live, 382.2MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	57
0	21	57
1	84	57
2	606	55
0	8336	53

Stop Event

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

Counts

10 → 134

Calls

Call 1

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

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

eval50.0ms (1.1%)

Memory: -20.3MiB live, 145.8MiB allocated; 19ms collecting garbage
Compiler: Compiled 5 983 to 613 computations (89.8% saved)

prune7.0ms (0.1%)

Memory

36.1MiB live, 36.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	168	5	173

Accuracy

100.0%

Counts

173 → 5

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)))
✓	63.8%	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))))
✓	99.4%	(.f64 x #s(approx (sqrt ( (- y z) (+ z y))) (fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z y)))
✓	99.4%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))
✓	99.4%	#s(approx (* x (sqrt (* (- y z) (+ z y)))) (fma.f64 (.f64 (.f64 (/.f64 z y) x) #s(literal -1/2 binary64)) z (*.f64 y x)))

Compiler

Compiled 164 to 94 computations (42.7% saved)

regimes24.0ms (0.5%)

Memory

-11.1MiB live, 85.4MiB allocated; 8ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

8 calls:

6.0ms	z
5.0ms	(-.f64 (.f64 y y) (.f64 z z))
2.0ms	y
2.0ms	x
2.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 34 to 38 computations (-11.8% saved)

regimes17.0ms (0.4%)

Memory

-10.9MiB live, 81.9MiB allocated; 3ms collecting garbage

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

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

Calls

8 calls:

4.0ms	(*.f64 y y)
3.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(-.f64 (.f64 y y) (.f64 z z))

Results

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

Compiler

Compiled 34 to 38 computations (-11.8% saved)

regimes11.0ms (0.2%)

Memory

-4.7MiB live, 42.7MiB allocated; 1ms collecting garbage

Accuracy

Total -23.0b remaining (-5699.7%)

Threshold costs -23b (-5699.7%)

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 z) (+.f64 z y))))

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

Calls

8 calls:

2.0ms	(-.f64 (.f64 y y) (.f64 z z))
1.0ms	z
1.0ms	y
1.0ms	x
1.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 34 to 38 computations (-11.8% saved)

simplify59.0ms (1.2%)

Memory

16.0MiB live, 61.0MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	56
1	47	56
2	113	56
3	261	56
4	445	56
5	877	56
6	1413	56
7	2097	56
8	2919	56
9	3229	56
10	3291	56
11	3291	56
12	3369	56

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

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

derivations771.0ms (16.4%)

Memory

-3.9MiB live, 603.4MiB allocated; 106ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1149
1	708	1148
2	3083	1105
0	8534	1033
0	8	34
0	13	34
1	45	34
2	356	34
3	4776	34
0	8785	23
0	342	1479
1	1361	845
0	8492	776
0	820	4202
1	3144	3280
0	9443	3085

Stop Event

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

Compiler

Compiled 56 to 20 computations (64.3% saved)

preprocess63.0ms (1.3%)

Memory

44.9MiB live, 134.0MiB allocated; 16ms collecting garbage

Remove

(negabs x)

(abs z)

Compiler

Compiled 538 to 324 computations (39.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze155.0ms (3.3%)

sample1.4s (28.8%)

explain108.0ms (2.3%)

preprocess136.0ms (2.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

series16.0ms (0.3%)

simplify197.0ms (4.2%)

rewrite111.0ms (2.3%)

eval64.0ms (1.4%)

prune4.0ms (0.1%)

simplify0.0ms (0%)

series38.0ms (0.8%)

simplify217.0ms (4.6%)

rewrite183.0ms (3.9%)

eval378.0ms (8%)

prune22.0ms (0.5%)

simplify0.0ms (0%)

series11.0ms (0.2%)

simplify125.0ms (2.7%)

rewrite167.0ms (3.5%)

eval16.0ms (0.3%)

prune34.0ms (0.7%)

simplify0.0ms (0%)

series25.0ms (0.5%)

simplify164.0ms (3.5%)

rewrite183.0ms (3.9%)

eval50.0ms (1.1%)

prune7.0ms (0.1%)

regimes24.0ms (0.5%)

regimes17.0ms (0.4%)

regimes11.0ms (0.2%)

simplify59.0ms (1.2%)

derivations771.0ms (16.4%)

preprocess63.0ms (1.3%)

end0.0ms (0%)

Profiling