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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze131.0ms (2.3%)

Memory

22.1MiB live, 218.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
30.8%	25%	56.2%	0.1%	0%	18.7%	0%	7
30.8%	25%	56.2%	0.1%	0%	18.7%	0%	8
32%	25%	53%	0.1%	0%	21.8%	0%	9
55.8%	37.4%	29.6%	0.1%	0%	32.8%	0%	10
55.8%	37.4%	29.6%	0.1%	0%	32.8%	0%	11
57.8%	37.4%	27.3%	0.1%	0%	35.1%	0%	12

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.5s (27.3%)

Memory

37.2MiB live, 1 334.6MiB allocated

Samples

804.0ms	8 256×	0	valid
274.0ms	2 428×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 550.0ms

ival-mult: 321.0ms (58.3% of total)

ival-sqrt: 141.0ms (25.6% of total)

ival-sub: 75.0ms (13.6% of total)

ival-true: 8.0ms (1.5% of total)

ival-assert: 5.0ms (0.9% of total)

Bogosity

explain120.0ms (2.1%)

Memory

-2.9MiB live, 161.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
124	-	4	(1.6822221024122344e-59 2.0207193999048604e-157 -4.556003423175212e-308)	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
15	-	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	105	0
↳	`(*.f64 y y)`	overflow	105
↳	`(-.f64 (.f64 y y) (.f64 z z))`	overflow	105
↳	`(*.f64 z z)`	overflow	15
`-.f64`	`(-.f64 (.f64 y y) (.f64 z z))`	nan-rescue	15	0
↳	`(*.f64 y y)`	overflow	105
↳	`(*.f64 z z)`	overflow	15
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`	uflow-rescue	15	0
↳	`(*.f64 y y)`	underflow	15
↳	`(-.f64 (.f64 y y) (.f64 z z))`	underflow	15
↳	`(*.f64 z z)`	underflow	114

Confusion

	Predicted +	Predicted -
+	74	3
-	46	133

Precision

0.6166666666666667

Recall

0.961038961038961

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	74	0	3
-	46	0	133

Precision?

0.6166666666666667

Recall?

0.961038961038961

Freqs

test

number	freq
0	136
1	105
2	15

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms

512×

valid

Compiler

Compiled 82 to 28 computations (65.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 10.0ms (59.6% of total)

ival-sqrt: 4.0ms (23.8% of total)

ival-sub: 2.0ms (11.9% of total)

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

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

preprocess121.0ms (2.1%)

Memory

-0.4MiB live, 123.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(abs y)

(negabs x)

Compiler

Compiled 10 to 8 computations (20% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.2%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify67.0ms (1.2%)

Memory

-1.8MiB live, 75.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize33.0ms (0.6%)

Memory

-19.4MiB live, 59.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0078125	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
accuracy	2.9921875000000004	(-.f64 (.f64 y y) (.f64 z z))
accuracy	28.226976949180248	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

Samples

27.0ms

256×

valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 9.0ms (71.9% of total)

ival-sqrt: 2.0ms (16% of total)

ival-sub: 1.0ms (8% of total)

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

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

series10.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

4 → 51

Calls

Call 1

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

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

Calls

9 calls:

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

simplify197.0ms (3.5%)

Memory

14.7MiB live, 205.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 50

Calls

Call 1

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

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

rewrite167.0ms (2.9%)

Memory

-32.1MiB live, 144.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 143

Calls

Call 1

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

Outputs
(.f64 (.f64 x (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/4 binary64)))
(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
(.f64 (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/4 binary64)) x))
(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x))
(*.f64 (hypot.f64 z y) x)
(*.f64 x (hypot.f64 z y))
(/.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) x) (hypot.f64 z y))
(/.f64 (.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (hypot.f64 (.f64 z (+.f64 z y)) (*.f64 y y)))
(/.f64 (*.f64 x (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) (hypot.f64 z y))
(/.f64 (.f64 x (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (hypot.f64 (.f64 z (+.f64 z y)) (*.f64 y y)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (.f64 z y) #s(literal 4 binary64))))) #s(literal 1/2 binary64)) (hypot.f64 (.f64 z (+.f64 z y)) (.f64 y y)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (pow.f64 (.f64 z (+.f64 z y)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 z (+.f64 z y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 z (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (hypot.f64 z y))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (hypot.f64 (.f64 z (+.f64 z y)) (*.f64 y y)))
(.f64 (pow.f64 (.f64 (fma.f64 z z (*.f64 y y)) (-.f64 y z)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 z z (*.f64 y y)) (+.f64 z y)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)))
(.f64 (neg.f64 (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/4 binary64))))
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eval39.0ms (0.7%)

Memory: -4.9MiB live, 32.6MiB allocated
Compiler: Compiled 4 447 to 826 computations (81.4% saved)

prune5.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	187	5	192
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	188	5	193

Accuracy

100.0%

Counts

193 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x))
▶	99.5%	(.f64 x (.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 z y))))
▶	74.8%	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))))
▶	66.0%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (.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))
▶	99.3%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))

Compiler

Compiled 182 to 130 computations (28.6% saved)

simplify172.0ms (3%)

Memory

-21.6MiB live, 215.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -1/16 binary64) x)
cost-diff	0	(.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)
cost-diff	0	#s(approx (* x (sqrt (- (* y y) (* z z)))) (.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))
cost-diff	2	(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))
cost-diff	0	(*.f64 (sqrt.f64 (-.f64 y z)) x)
cost-diff	0	(+.f64 z y)
cost-diff	0	(sqrt.f64 (+.f64 z y))
cost-diff	0	(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x))
cost-diff	0	(-.f64 y z)
cost-diff	0	(*.f64 (-.f64 y z) (+.f64 z y))
cost-diff	0	(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
cost-diff	0	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))
cost-diff	0	(-.f64 y z)
cost-diff	0	(sqrt.f64 (-.f64 y z))
cost-diff	0	(*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 z y)))
cost-diff	0	(.f64 x (.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 z y))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	329
0	72	329
1	129	329
2	336	329
3	1059	329
4	3692	329
0	8137	323

Stop Event

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

Calls

Call 1

Inputs
(.f64 x (.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 z y))))
x
(*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 z y)))
(sqrt.f64 (-.f64 y z))
(-.f64 y z)
y
z
(sqrt.f64 (+.f64 z y))
(+.f64 z y)
#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))))
x
(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
(*.f64 (-.f64 y z) (+.f64 z y))
(-.f64 y z)
y
z
(+.f64 z y)
(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x))
(sqrt.f64 (+.f64 z y))
(+.f64 z y)
z
y
(*.f64 (sqrt.f64 (-.f64 y z)) x)
(sqrt.f64 (-.f64 y z))
(-.f64 y z)
x
#s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 (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))
(.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)
(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))
(*.f64 #s(literal -1/16 binary64) x)
#s(literal -1/16 binary64)
x
(/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))
(pow.f64 z #s(literal 6 binary64))
z
#s(literal 6 binary64)
(pow.f64 y #s(literal 6 binary64))
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)
(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))))
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
(/.f64 (*.f64 z z) y)
(*.f64 z z)
(/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1/8 binary64))
(pow.f64 z #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/8 binary64)
(pow.f64 y #s(literal 4 binary64))

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

localize160.0ms (2.8%)

Memory

39.3MiB live, 234.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	3.9111142618643626	(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))))
accuracy	8.312217456700289	(/.f64 (*.f64 z z) y)
accuracy	18.627967823191256	(/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64)))
accuracy	22.04466992733651	(/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))
accuracy	0.0	(sqrt.f64 (-.f64 y z))
accuracy	0.00390625	(sqrt.f64 (+.f64 z y))
accuracy	0.21484375	(*.f64 (sqrt.f64 (-.f64 y z)) x)
accuracy	0.25	(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x))
accuracy	0.0	(+.f64 z y)
accuracy	0.0	(*.f64 (-.f64 y z) (+.f64 z y))
accuracy	0.0078125	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))))
accuracy	28.226976949180248	(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
accuracy	0.0	(*.f64 y x)
accuracy	0.4528089707585441	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))
accuracy	0.0	(sqrt.f64 (-.f64 y z))
accuracy	0.00390625	(sqrt.f64 (+.f64 z y))
accuracy	0.0078125	(.f64 x (.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 z y))))
accuracy	0.49609375	(*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 z y)))

Samples

135.0ms

256×

valid

Compiler

Compiled 301 to 44 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-mult: 61.0ms (56% of total)

ival-pow: 25.0ms (22.9% of total)

ival-div: 8.0ms (7.3% of total)

ival-sqrt: 7.0ms (6.4% of total)

ival-add: 4.0ms (3.7% of total)

ival-sub: 3.0ms (2.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series129.0ms (2.3%)

Memory

-32.1MiB live, 129.0MiB allocated

Counts

21 → 192

Calls

Call 1

Inputs
(.f64 x (.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 z y))))
(*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 z y)))
(sqrt.f64 (-.f64 y z))
(-.f64 y z)
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))
(*.f64 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 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x))
(sqrt.f64 (+.f64 z y))
(+.f64 z y)
(*.f64 (sqrt.f64 (-.f64 y z)) x)
(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))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (.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))
(.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)
(*.f64 #s(literal -1/16 binary64) x)
(/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))
(/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (*.f64 z z) y)
(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))))

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

Calls

9 calls:

Time	Variable		Point	Expression
48.0ms	z	@	-inf	((* x (* (sqrt (- y z)) (sqrt (+ z y)))) (* (sqrt (- y z)) (sqrt (+ z y))) (sqrt (- y z)) (- y z) (* x (sqrt (- (* y y) (* z z)))) (* y x) (* x (sqrt (* (- y z) (+ z y)))) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (+ (* (* -1/16 x) (/ (pow z 6) (pow y 6))) (+ (* x (+ (* (/ -1/2 y) (/ (* z z) y)) (/ (* (pow z 4) -1/8) (pow y 4)))) x)) (* x (sqrt (- (* y y) (* z z)))) (* (+ (* (* -1/16 x) (/ (pow z 6) (pow y 6))) (+ (* x (+ (* (/ -1/2 y) (/ (* z z) y)) (/ (* (pow z 4) -1/8) (pow y 4)))) x)) y) (* -1/16 x) (/ (pow z 6) (pow y 6)) (/ (* (pow z 4) -1/8) (pow y 4)) (/ (* z z) y) (+ (* (/ -1/2 y) (/ (* z z) y)) (/ (* (pow z 4) -1/8) (pow y 4))))
17.0ms	x	@	-inf	((* x (* (sqrt (- y z)) (sqrt (+ z y)))) (* (sqrt (- y z)) (sqrt (+ z y))) (sqrt (- y z)) (- y z) (* x (sqrt (- (* y y) (* z z)))) (* y x) (* x (sqrt (* (- y z) (+ z y)))) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (+ (* (* -1/16 x) (/ (pow z 6) (pow y 6))) (+ (* x (+ (* (/ -1/2 y) (/ (* z z) y)) (/ (* (pow z 4) -1/8) (pow y 4)))) x)) (* x (sqrt (- (* y y) (* z z)))) (* (+ (* (* -1/16 x) (/ (pow z 6) (pow y 6))) (+ (* x (+ (* (/ -1/2 y) (/ (* z z) y)) (/ (* (pow z 4) -1/8) (pow y 4)))) x)) y) (* -1/16 x) (/ (pow z 6) (pow y 6)) (/ (* (pow z 4) -1/8) (pow y 4)) (/ (* z z) y) (+ (* (/ -1/2 y) (/ (* z z) y)) (/ (* (pow z 4) -1/8) (pow y 4))))
13.0ms	z	@	inf	((* x (* (sqrt (- y z)) (sqrt (+ z y)))) (* (sqrt (- y z)) (sqrt (+ z y))) (sqrt (- y z)) (- y z) (* x (sqrt (- (* y y) (* z z)))) (* y x) (* x (sqrt (* (- y z) (+ z y)))) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (+ (* (* -1/16 x) (/ (pow z 6) (pow y 6))) (+ (* x (+ (* (/ -1/2 y) (/ (* z z) y)) (/ (* (pow z 4) -1/8) (pow y 4)))) x)) (* x (sqrt (- (* y y) (* z z)))) (* (+ (* (* -1/16 x) (/ (pow z 6) (pow y 6))) (+ (* x (+ (* (/ -1/2 y) (/ (* z z) y)) (/ (* (pow z 4) -1/8) (pow y 4)))) x)) y) (* -1/16 x) (/ (pow z 6) (pow y 6)) (/ (* (pow z 4) -1/8) (pow y 4)) (/ (* z z) y) (+ (* (/ -1/2 y) (/ (* z z) y)) (/ (* (pow z 4) -1/8) (pow y 4))))
12.0ms	y	@	-inf	((* x (* (sqrt (- y z)) (sqrt (+ z y)))) (* (sqrt (- y z)) (sqrt (+ z y))) (sqrt (- y z)) (- y z) (* x (sqrt (- (* y y) (* z z)))) (* y x) (* x (sqrt (* (- y z) (+ z y)))) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (+ (* (* -1/16 x) (/ (pow z 6) (pow y 6))) (+ (* x (+ (* (/ -1/2 y) (/ (* z z) y)) (/ (* (pow z 4) -1/8) (pow y 4)))) x)) (* x (sqrt (- (* y y) (* z z)))) (* (+ (* (* -1/16 x) (/ (pow z 6) (pow y 6))) (+ (* x (+ (* (/ -1/2 y) (/ (* z z) y)) (/ (* (pow z 4) -1/8) (pow y 4)))) x)) y) (* -1/16 x) (/ (pow z 6) (pow y 6)) (/ (* (pow z 4) -1/8) (pow y 4)) (/ (* z z) y) (+ (* (/ -1/2 y) (/ (* z z) y)) (/ (* (pow z 4) -1/8) (pow y 4))))
11.0ms	x	@	0	((* x (* (sqrt (- y z)) (sqrt (+ z y)))) (* (sqrt (- y z)) (sqrt (+ z y))) (sqrt (- y z)) (- y z) (* x (sqrt (- (* y y) (* z z)))) (* y x) (* x (sqrt (* (- y z) (+ z y)))) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (+ (* (* -1/16 x) (/ (pow z 6) (pow y 6))) (+ (* x (+ (* (/ -1/2 y) (/ (* z z) y)) (/ (* (pow z 4) -1/8) (pow y 4)))) x)) (* x (sqrt (- (* y y) (* z z)))) (* (+ (* (* -1/16 x) (/ (pow z 6) (pow y 6))) (+ (* x (+ (* (/ -1/2 y) (/ (* z z) y)) (/ (* (pow z 4) -1/8) (pow y 4)))) x)) y) (* -1/16 x) (/ (pow z 6) (pow y 6)) (/ (* (pow z 4) -1/8) (pow y 4)) (/ (* z z) y) (+ (* (/ -1/2 y) (/ (* z z) y)) (/ (* (pow z 4) -1/8) (pow y 4))))

simplify201.0ms (3.5%)

Memory

34.3MiB live, 339.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	970	5288
1	3676	5028
0	8348	4740

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 189

Calls

Call 1

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

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

rewrite185.0ms (3.3%)

Memory

-9.3MiB live, 282.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	246
0	72	243
1	231	243
2	1811	243
0	8511	243

Stop Event

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

Counts

21 → 600

Calls

Call 1

Inputs
(.f64 x (.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 z y))))
(*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 z y)))
(sqrt.f64 (-.f64 y z))
(-.f64 y z)
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))
(*.f64 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 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x))
(sqrt.f64 (+.f64 z y))
(+.f64 z y)
(*.f64 (sqrt.f64 (-.f64 y z)) x)
(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))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (.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))
(.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)
(*.f64 #s(literal -1/16 binary64) x)
(/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))
(/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (*.f64 z z) y)
(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))))

Outputs
(.f64 (.f64 (sqrt.f64 (+.f64 z y)) x) (sqrt.f64 (-.f64 y z)))
(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
(.f64 (.f64 (sqrt.f64 (-.f64 y z)) x) (sqrt.f64 (+.f64 z y)))
(.f64 (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))) x)
(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x))
(.f64 (sqrt.f64 (-.f64 y z)) (.f64 (sqrt.f64 (+.f64 z y)) x))
(.f64 (sqrt.f64 (-.f64 y z)) (.f64 x (sqrt.f64 (+.f64 z y))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(.f64 (neg.f64 (pow.f64 (.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (*.f64 (+.f64 z y) (-.f64 y z)) #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 (neg.f64 y) z)) (sqrt.f64 (-.f64 (neg.f64 y) z)))
(*.f64 (sqrt.f64 (+.f64 y (neg.f64 z))) (sqrt.f64 (-.f64 y (neg.f64 z))))
(*.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 (neg.f64 y) z) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (neg.f64 y) 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 y z)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))
(*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 z y)))
(pow.f64 (exp.f64 (log.f64 (*.f64 (+.f64 z y) (-.f64 y z)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) (*.f64 (+.f64 z y) (-.f64 y z))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) (-.f64 y z))) (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 y z))) (sqrt.f64 (fma.f64 (-.f64 y z) 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 y z)) (+.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 y z)))) (sqrt.f64 (+.f64 z y)))
(/.f64 (sqrt.f64 (.f64 (-.f64 y z) (.f64 (+.f64 z y) (-.f64 z y)))) (sqrt.f64 (-.f64 z y)))
(/.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (-.f64 y z) y (.f64 z z))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 y z) z) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 y z) y) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (.f64 (-.f64 y z) z) (.f64 (-.f64 y z) y))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 y z) z) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 y z) y) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 y z) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 y z) y) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 y z) z) (*.f64 (-.f64 y z) y))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 z z (*.f64 y y)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (pow.f64 y #s(literal 4 binary64))))))
(/.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 (+.f64 z y) (-.f64 y z)))) (sqrt.f64 (.f64 (-.f64 z y) (+.f64 z y))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 (.f64 (fma.f64 (-.f64 y z) y (.f64 z z)) (fma.f64 z (+.f64 z y) (.f64 y y)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 (+.f64 z y) (-.f64 y z)))) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 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)))) (sqrt.f64 (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (fma.f64 (-.f64 y z) y (.f64 z z)))))
(/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) (.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 y z)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 (.f64 (+.f64 z y) (fma.f64 (-.f64 y z) 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 y #s(literal 4 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y y) (*.f64 (neg.f64 z) z))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (hypot.f64 z y))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 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 y z)))
(exp.f64 (fma.f64 (log.f64 (+.f64 z y)) #s(literal 1/2 binary64) (*.f64 (log.f64 (-.f64 y z)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (-.f64 y z)) #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 z y)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 z y) (-.f64 y z))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 (+.f64 z y) (-.f64 y z))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 (+.f64 z y) (-.f64 y z))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 z y) (-.f64 y z)) (*.f64 (+.f64 z y) (-.f64 z y)))) (sqrt.f64 (-.f64 z y)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 z y) (-.f64 y z)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 z y) (-.f64 y z)) (*.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 y z)) (+.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 y z) y (*.f64 z z))))
(*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (/.f64 (-.f64 y z) (+.f64 z y))))
(*.f64 (sqrt.f64 (+.f64 z y)) (pow.f64 (/.f64 (-.f64 y z) (+.f64 z y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (/.f64 (+.f64 z y) (+.f64 z y))))
(*.f64 (sqrt.f64 (-.f64 y z)) (pow.f64 (/.f64 (+.f64 z y) (+.f64 z y)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (-.f64 y z))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 y z) #s(literal 1/2 binary64))
(/.f64 (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 (sqrt.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z)))) (sqrt.f64 (neg.f64 (+.f64 z y))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (.f64 (fma.f64 z z (.f64 y y)) (+.f64 z y))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 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 (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))))
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(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 z z) y) y) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 8 binary64))))) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y y))) (.f64 y y))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1/512 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 z #s(literal 12 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 z z) y) y) #s(literal 2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 8 binary64)))) (/.f64 (.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64))))))
(/.f64 (fma.f64 (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))) (.f64 y (.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64))))) (*.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (fma.f64 (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 y (.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))))) (*.f64 y (pow.f64 y #s(literal 4 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 y y) (.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64))))) (.f64 (*.f64 y y) (neg.f64 (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 y y) (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64))) y (.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) y))
(/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y y) (.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 z z) #s(literal -1/2 binary64)))) (.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 y y)))
(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) y (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64)))) (pow.f64 y #s(literal 5 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y y) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (*.f64 z z) #s(literal -1/2 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 z z) y) y) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 8 binary64)))) (/.f64 (-.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y y))) (.f64 y y)))
(/.f64 (fma.f64 (/.f64 #s(literal -1/512 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 z #s(literal 12 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) (/.f64 z y)) (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))))) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (fma.f64 (/.f64 #s(literal -1/512 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 z #s(literal 12 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 z z) y) y) #s(literal 2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 8 binary64)))) (/.f64 (.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))))
(fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) (/.f64 z y) (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 y y)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 y y)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) (/.f64 z y)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 y y)) (/.f64 #s(literal -1/8 binary64) (.f64 y y)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) (/.f64 z y)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 y)) (/.f64 (.f64 (neg.f64 z) z) y) (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) (/.f64 z y)))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) (/.f64 z y)))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) (/.f64 z y)))
(fma.f64 (/.f64 (.f64 z z) y) (/.f64 #s(literal -1/2 binary64) y) (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (.f64 z z) (.f64 (.f64 z z) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) (/.f64 z y)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 z z) y) (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 z z) y) y) (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) (.f64 y y)) (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 z (.f64 (/.f64 z y) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 z z) y) y) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y y))) (.f64 y y))) (/.f64 (.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 8 binary64))) (/.f64 (-.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y y))) (*.f64 y y))))
(-.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) (/.f64 z y)) (*.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64))) (.f64 (neg.f64 (/.f64 (*.f64 z z) y)) (/.f64 #s(literal -1/2 binary64) y)))
(-.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64))) (.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (*.f64 z z) y)))
(+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 z z) y) y) #s(literal 2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 8 binary64)))) (/.f64 (.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 z #s(literal 12 binary64))) (pow.f64 y #s(literal 12 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (.f64 z z) y) y) #s(literal 2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 8 binary64)))) (/.f64 (.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64))))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) (/.f64 z y)) (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64))) (.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) (/.f64 z y)))

eval214.0ms (3.8%)

Memory: 5.8MiB live, 198.4MiB allocated
Compiler: Compiled 40 539 to 4 409 computations (89.1% saved)

prune51.0ms (0.9%)

Memory

12.1MiB live, 50.9MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	926	2	928
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	928	5	933

Accuracy

100.0%

Counts

933 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.9%	(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 #s(approx (- y z) (*.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) z))) x))
✓	99.5%	(.f64 x (.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 z y))))
✓	74.8%	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))))
▶	93.9%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (.f64 x (/.f64 (.f64 z z) y)) #s(literal -1/2 binary64) (*.f64 y x)))
✓	99.3%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify250.0ms (4.4%)

Memory

-32.5MiB live, 91.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	139
0	40	139
1	73	137
2	190	137
3	523	137
4	1394	137
5	2797	137
6	3674	137
7	4479	137
8	5067	137
9	5545	137
10	6136	137
11	6348	137
12	6813	137
13	6922	137
14	6927	137
15	6927	137
0	6927	135

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize140.0ms (2.5%)

Memory

-0.1MiB live, 76.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sqrt.f64 (+.f64 z y))
accuracy	0.21484375	(.f64 (sqrt.f64 #s(approx (- y z) (.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) z))) x)
accuracy	0.25	(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 #s(approx (- y z) (*.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) z))) x))
accuracy	14.169264746165245	(*.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) z)
accuracy	0.10073243055321932	#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (.f64 x (/.f64 (.f64 z z) y)) #s(literal -1/2 binary64) (*.f64 y x)))
accuracy	0.6015625000000001	(fma.f64 (.f64 x (/.f64 (.f64 z z) y)) #s(literal -1/2 binary64) (*.f64 y x))
accuracy	4.284501797702727	(.f64 x (/.f64 (.f64 z z) y))
accuracy	8.312217456700289	(/.f64 (*.f64 z z) y)

Samples

40.0ms

256×

valid

Compiler

Compiled 97 to 26 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 13.0ms (47.2% of total)

ival-sqrt: 5.0ms (18.2% of total)

ival-div: 3.0ms (10.9% of total)

ival-sub: 3.0ms (10.9% of total)

ival-add: 2.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.4%)

Memory

25.3MiB live, 25.3MiB allocated

Counts

9 → 109

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((+ (* (* x (/ (* z z) y)) -1/2) (* y x)) (* x (sqrt (- (* y y) (* z z)))) (* x (/ (* z z) y)) (/ (* z z) y) (* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (* (- (/ y z) 1) z))
3.0ms	x	@	-inf	((+ (* (* x (/ (* z z) y)) -1/2) (* y x)) (* x (sqrt (- (* y y) (* z z)))) (* x (/ (* z z) y)) (/ (* z z) y) (* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (* (- (/ y z) 1) z))
2.0ms	y	@	-inf	((+ (* (* x (/ (* z z) y)) -1/2) (* y x)) (* x (sqrt (- (* y y) (* z z)))) (* x (/ (* z z) y)) (/ (* z z) y) (* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (* (- (/ y z) 1) z))
2.0ms	x	@	inf	((+ (* (* x (/ (* z z) y)) -1/2) (* y x)) (* x (sqrt (- (* y y) (* z z)))) (* x (/ (* z z) y)) (/ (* z z) y) (* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (* (- (/ y z) 1) z))
2.0ms	z	@	-inf	((+ (* (* x (/ (* z z) y)) -1/2) (* y x)) (* x (sqrt (- (* y y) (* z z)))) (* x (/ (* z z) y)) (/ (* z z) y) (* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (* (- (/ y z) 1) z))

simplify188.0ms (3.3%)

Memory

-16.9MiB live, 210.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	592	2942
1	2221	2551
0	9316	2398

Stop Event

1×	iter limit
1×	node limit

Counts

109 → 107

Calls

Call 1

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

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

rewrite163.0ms (2.9%)

Memory

27.3MiB live, 271.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	94
0	40	94
1	138	91
2	999	91
0	9106	89

Stop Event

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

Counts

9 → 218

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) y)) x) (/.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)) y)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)) y)))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) y))
(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)) y))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)) y)))) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)) y))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)) y))))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)) y)) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)) y)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)))) (fma.f64 y x (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 z z) y) x))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (.f64 (/.f64 (.f64 z z) y) x)) #s(literal -1/2 binary64)) (.f64 (neg.f64 (.f64 (/.f64 (.f64 z z) y) x)) #s(literal -1/2 binary64)))) (fma.f64 y x (.f64 (neg.f64 (.f64 (/.f64 (*.f64 z z) y) x)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))) (.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))))) (fma.f64 y x (.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 x) y) (.f64 (neg.f64 x) y))) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) y)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)))))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x))))))) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)))))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)))))))) (-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)))))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)) y))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)) y))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)) y))) (fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)) y))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)) y))) (.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)) y))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) y)))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (.f64 (neg.f64 x) y) (.f64 (neg.f64 x) y) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) (*.f64 (neg.f64 x) y)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) (.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x))))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 (/.f64 (.f64 z z) y) x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 (.f64 (/.f64 (.f64 z z) y) x)) #s(literal -1/2 binary64)) (.f64 (neg.f64 (.f64 (/.f64 (.f64 z z) y) x)) #s(literal -1/2 binary64)) (.f64 (.f64 y x) (.f64 (neg.f64 (.f64 (/.f64 (.f64 z z) y) x)) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))) (.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))) (.f64 (.f64 y x) (.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)))))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)))))) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)))))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x))))))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)))))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x))))))))))
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eval43.0ms (0.8%)

Memory: -13.8MiB live, 101.1MiB allocated
Compiler: Compiled 12 622 to 1 520 computations (88% saved)

prune6.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	322	1	323
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	323	5	328

Accuracy

100.0%

Counts

328 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.9%	(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 #s(approx (- y z) (*.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) z))) x))
✓	99.5%	(.f64 x (.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 z y))))
✓	74.8%	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))))
▶	95.5%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (.f64 (.f64 x z) (/.f64 z y)) #s(literal -1/2 binary64) (*.f64 y x)))
✓	99.3%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify140.0ms (2.5%)

Memory

-8.0MiB live, 73.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	55
0	21	55
1	48	55
2	156	53
3	463	53
4	1091	53
5	2416	53
6	3395	53
7	4191	53
8	4779	53
9	5257	53
10	5848	53
11	6058	53
12	6484	53
13	6562	53
14	6567	53
0	6567	51

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (0.6%)

Memory

11.4MiB live, 49.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x z)
accuracy	0.10073243055321932	#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (.f64 (.f64 x z) (/.f64 z y)) #s(literal -1/2 binary64) (*.f64 y x)))
accuracy	0.6015625000000001	(fma.f64 (.f64 (.f64 x z) (/.f64 z y)) #s(literal -1/2 binary64) (*.f64 y x))
accuracy	2.473158615027401	(.f64 (.f64 x z) (/.f64 z y))

Samples

27.0ms

256×

valid

Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions

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

ival-mult: 10.0ms (61.5% of total)

ival-div: 2.0ms (12.3% of total)

ival-sqrt: 2.0ms (12.3% of total)

ival-sub: 1.0ms (6.1% of total)

ival-add: 1.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.3%)

Memory

-22.4MiB live, 15.6MiB allocated

Counts

4 → 31

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	((+ (* (* (* x z) (/ z y)) -1/2) (* y x)) (* x (sqrt (- (* y y) (* z z)))) (* (* x z) (/ z y)) (* x z))
2.0ms	x	@	-inf	((+ (* (* (* x z) (/ z y)) -1/2) (* y x)) (* x (sqrt (- (* y y) (* z z)))) (* (* x z) (/ z y)) (* x z))
1.0ms	x	@	inf	((+ (* (* (* x z) (/ z y)) -1/2) (* y x)) (* x (sqrt (- (* y y) (* z z)))) (* (* x z) (/ z y)) (* x z))
1.0ms	x	@	0	((+ (* (* (* x z) (/ z y)) -1/2) (* y x)) (* x (sqrt (- (* y y) (* z z)))) (* (* x z) (/ z y)) (* x z))
1.0ms	y	@	-inf	((+ (* (* (* x z) (/ z y)) -1/2) (* y x)) (* x (sqrt (- (* y y) (* z z)))) (* (* x z) (/ z y)) (* x z))

simplify195.0ms (3.4%)

Memory

-12.7MiB live, 243.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	691
1	500	691
2	2192	650
0	8244	610

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 31

Calls

Call 1

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

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

rewrite165.0ms (2.9%)

Memory

0.6MiB live, 154.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	45
0	21	45
1	79	45
2	618	43
3	7952	43
0	8003	36

Stop Event

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

Counts

4 → 139

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (.f64 (/.f64 z y) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)) (.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x))))
(.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (.f64 (/.f64 z y) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x)) (-.f64 (.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (.f64 x (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (.f64 (/.f64 z y) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 (.f64 y x) (.f64 x (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))))
(.f64 (.f64 x (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) (/.f64 (.f64 x (-.f64 (.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) 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) z) (/.f64 z y) 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))))) (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 z y) x) z) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 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 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 3 binary64)) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 3 binary64)) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))))) (.f64 x (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
(/.f64 (-.f64 (pow.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))) #s(literal 3 binary64)) (pow.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))) #s(literal 3 binary64))) (fma.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))) (fma.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)))))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 3 binary64))) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z y) x)) z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 3 binary64)) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 3 binary64)) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 3 binary64)) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 3 binary64)) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))) (neg.f64 (.f64 x (-.f64 y (.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z (*.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (.f64 (/.f64 z y) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64))))))
(/.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 (.f64 x (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) y)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (.f64 (.f64 x (-.f64 (.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) y))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 3 binary64)) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64))) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (.f64 (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 z y) x) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (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 y x) #s(literal 2 binary64)) (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 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 y x) z) (.f64 (.f64 (/.f64 z y) x) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 4 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 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (.f64 (/.f64 z y) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (.f64 (/.f64 z y) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 9 binary64))) (.f64 (-.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 y x) z) (.f64 (.f64 (/.f64 z y) x) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z (*.f64 y x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (.f64 (/.f64 z y) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)) (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 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) x)) z) (/.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 (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))))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) x)) z) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))))
(fma.f64 (.f64 y x) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 3 binary64)) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 (.f64 (.f64 (/.f64 z y) x) z) #s(literal 2 binary64)) #s(literal -1/2 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))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 z y) x) z) (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 z y) x) z) (*.f64 (neg.f64 x) (neg.f64 y)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 z y) x) z) (*.f64 y x))
(fma.f64 (.f64 (.f64 (/.f64 z y) x) z) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 z y) x) z)) (.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))))
(fma.f64 (.f64 (.f64 (/.f64 z y) x) z) #s(literal -1/2 binary64) (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 (.f64 (.f64 (/.f64 z y) x) z) #s(literal -1/2 binary64) (*.f64 (neg.f64 x) (neg.f64 y)))
(fma.f64 (.f64 (.f64 (/.f64 z y) x) z) #s(literal -1/2 binary64) (*.f64 y x))
(fma.f64 (/.f64 z y) (.f64 (.f64 #s(literal -1/2 binary64) x) z) (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 (/.f64 z y) (.f64 (.f64 #s(literal -1/2 binary64) x) z) (*.f64 (neg.f64 x) (neg.f64 y)))
(fma.f64 (/.f64 z y) (.f64 (.f64 #s(literal -1/2 binary64) x) z) (*.f64 y x))
(fma.f64 y x (.f64 (neg.f64 (.f64 (neg.f64 z) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(fma.f64 y x (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 z y) x)) z))
(fma.f64 (.f64 z x) (/.f64 (.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) #s(literal 2 binary64)) (.f64 z x)) (.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))))
(fma.f64 (.f64 z x) (.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 (.f64 z x) (.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 (neg.f64 x) (neg.f64 y)))
(fma.f64 (.f64 z x) (.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 y x))
(fma.f64 z (.f64 (.f64 (/.f64 z y) x) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 z (.f64 (.f64 (/.f64 z y) x) #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) (neg.f64 y)))
(fma.f64 z (.f64 (.f64 (/.f64 z y) x) #s(literal -1/2 binary64)) (*.f64 y x))
(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 (neg.f64 (.f64 (neg.f64 z) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(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 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))))
(-.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 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 3 binary64)) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 3 binary64)) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 x (-.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))) (.f64 y x) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) x)) z) #s(literal 2 binary64)))))
(+.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 (neg.f64 (.f64 (neg.f64 z) x)) (.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(+.f64 (.f64 y x) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) x)) z))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 x (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
(.f64 (.f64 (/.f64 z y) x) z)
(.f64 (.f64 (/.f64 z y) z) x)
(.f64 (neg.f64 z) (/.f64 (.f64 z x) (neg.f64 y)))
(.f64 (/.f64 z y) (.f64 z x))
(.f64 (.f64 z x) (/.f64 z y))
(.f64 z (.f64 (/.f64 z y) x))
(.f64 x (.f64 (/.f64 z y) z))
(/.f64 (.f64 (.f64 (neg.f64 z) z) x) (neg.f64 y))
(/.f64 (.f64 (.f64 z z) x) y)
(neg.f64 (/.f64 (.f64 (.f64 (neg.f64 z) z) x) y))
(*.f64 z x)
(*.f64 x z)

eval21.0ms (0.4%)

Memory: 9.8MiB live, 45.6MiB allocated
Compiler: Compiled 7 836 to 638 computations (91.9% saved)

prune7.0ms (0.1%)

Memory

27.3MiB live, 27.3MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	167	5	172

Accuracy

100.0%

Counts

172 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.9%	(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 #s(approx (- y z) (*.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) z))) x))
✓	74.8%	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))))
✓	95.5%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (.f64 (.f64 x z) (/.f64 z y)) #s(literal -1/2 binary64) (*.f64 y x)))
✓	99.3%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))
	99.8%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 x (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))

Compiler

Compiled 274 to 128 computations (53.3% saved)

regimes28.0ms (0.5%)

Memory

-21.4MiB live, 68.3MiB allocated

Counts

10 → 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))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 x (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (.f64 x (/.f64 (.f64 z z) y)) #s(literal -1/2 binary64) (*.f64 y x)))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (.f64 (.f64 x z) (/.f64 z y)) #s(literal -1/2 binary64) (*.f64 y x)))
(.f64 x (.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 z y))))
(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x))
(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 #s(approx (- y z) (*.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) z))) x))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (.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))

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

Calls

8 calls:

6.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
3.0ms	x
3.0ms	z
3.0ms	y
3.0ms	(-.f64 (.f64 y y) (.f64 z z))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
99.8%	1	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
99.8%	1	`(-.f64 (.f64 y y) (.f64 z z))`
99.8%	1	`(*.f64 y y)`
99.8%	1	`(*.f64 z z)`

Compiler

Compiled 34 to 38 computations (-11.8% saved)

regimes15.0ms (0.3%)

Memory

-10.1MiB live, 28.4MiB allocated

Accuracy

Total -16.0b remaining (-3534.6%)

Threshold costs -16b (-3534.6%)

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:

6.0ms	(-.f64 (.f64 y y) (.f64 z z))
1.0ms	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
1.0ms	x
1.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
1.0ms	y

Results

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

Compiler

Compiled 34 to 38 computations (-11.8% saved)

simplify63.0ms (1.1%)

Memory

-3.8MiB live, 35.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	35
1	30	35
2	90	35
3	232	35
4	412	35
5	847	35
6	1398	35
7	2082	35
8	2911	35
9	3221	35
10	3283	35
11	3283	35
12	3361	35

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness575.0ms (10.1%)

Memory

8.4MiB live, 452.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	970	5288
1	3676	5028
0	8348	4740
0	26	94
0	40	94
1	138	91
2	999	91
0	9106	89
0	205	1144
1	708	1143
2	3083	1100
0	8534	1028
0	15	45
0	21	45
1	79	45
2	618	43
3	7952	43
0	8003	36

Stop Event

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

Compiler

Compiled 99 to 63 computations (36.4% saved)

preprocess58.0ms (1%)

Memory

15.7MiB live, 53.2MiB allocated

Remove

(negabs x)

(abs z)

Compiler

Compiled 296 to 188 computations (36.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze131.0ms (2.3%)

sample1.5s (27.3%)

explain120.0ms (2.1%)

preprocess121.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify67.0ms (1.2%)

localize33.0ms (0.6%)

series10.0ms (0.2%)

simplify197.0ms (3.5%)

rewrite167.0ms (2.9%)

eval39.0ms (0.7%)

prune5.0ms (0.1%)

simplify172.0ms (3%)

localize160.0ms (2.8%)

series129.0ms (2.3%)

simplify201.0ms (3.5%)

rewrite185.0ms (3.3%)

eval214.0ms (3.8%)

prune51.0ms (0.9%)

simplify250.0ms (4.4%)

localize140.0ms (2.5%)

series21.0ms (0.4%)

simplify188.0ms (3.3%)

rewrite163.0ms (2.9%)

eval43.0ms (0.8%)

prune6.0ms (0.1%)

simplify140.0ms (2.5%)

localize35.0ms (0.6%)

series15.0ms (0.3%)

simplify195.0ms (3.4%)

rewrite165.0ms (2.9%)

eval21.0ms (0.4%)

prune7.0ms (0.1%)

regimes28.0ms (0.5%)

regimes15.0ms (0.3%)

simplify63.0ms (1.1%)

soundness575.0ms (10.1%)

preprocess58.0ms (1%)

end0.0ms (0%)

Profiling