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

start0.0ms (0%)

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

analyze159.0ms (3.3%)

Memory

-11.5MiB live, 256.5MiB allocated; 68ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.2s (24.6%)

Memory

21.5MiB live, 1 263.8MiB allocated; 283ms collecting garbage

Samples

595.0ms	8 256×	0	valid
195.0ms	2 482×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 444.0ms

ival-mult: 296.0ms (66.6% of total)

ival-sqrt: 71.0ms (16% of total)

ival-sub: 64.0ms (14.4% of total)

ival-true: 8.0ms (1.8% of total)

ival-assert: 4.0ms (0.9% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain103.0ms (2.1%)

Memory

1.7MiB live, 148.8MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
121	-	2	(8.530702729454547e+269 -5.326639814202993e-156 -7.60072659007991e-165)	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
12	-	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	106	0
↳	`(*.f64 y y)`	overflow	106
↳	`(-.f64 (.f64 y y) (.f64 z z))`	overflow	106
↳	`(*.f64 z z)`	overflow	12
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`	uflow-rescue	13	0
↳	`(*.f64 y y)`	underflow	13
↳	`(-.f64 (.f64 y y) (.f64 z z))`	underflow	13
↳	`(*.f64 z z)`	underflow	113
`-.f64`	`(-.f64 (.f64 y y) (.f64 z z))`	nan-rescue	12	0
↳	`(*.f64 y y)`	overflow	106
↳	`(*.f64 z z)`	overflow	12

Confusion

	Predicted +	Predicted -
+	84	1
-	35	136

Precision

0.7058823529411765

Recall

0.9882352941176471

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	84	0	1
-	35	0	136

Precision?

0.7058823529411765

Recall?

0.9882352941176471

Freqs

test

number	freq
0	137
1	107
2	12

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: 18.0ms

ival-mult: 11.0ms (62.4% of total)

ival-sqrt: 3.0ms (17% of total)

ival-sub: 2.0ms (11.3% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess126.0ms (2.6%)

Memory

32.2MiB live, 122.6MiB allocated; 11ms collecting garbage

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; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune21.0ms (0.4%)

Memory

-41.1MiB live, 4.5MiB allocated; 5ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.5%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify73.0ms (1.5%)

Memory

15.6MiB live, 71.0MiB allocated; 4ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize26.0ms (0.5%)

Memory

-1.2MiB live, 44.4MiB allocated; 5ms collecting garbage

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	2.3906250000000004	(-.f64 (.f64 y y) (.f64 z z))
accuracy	27.912211373694944	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

Samples

18.0ms

256×

valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

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

ival-mult: 7.0ms (67.4% of total)

ival-sqrt: 2.0ms (19.3% of total)

ival-sub: 1.0ms (9.6% of total)

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

adjust: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB allocated; 0ms collecting garbage

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	x	@	0	((* 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	@	-inf	((* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (- (* y y) (* z z)) (* y y))

simplify230.0ms (4.8%)

Memory

18.3MiB live, 231.1MiB allocated; 60ms collecting garbage

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))))))

rewrite146.0ms (3%)

Memory

-28.6MiB live, 174.0MiB allocated; 53ms collecting garbage

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))))
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(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))

eval30.0ms (0.6%)

Memory: 5.9MiB live, 50.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 447 to 826 computations (81.4% saved)

prune3.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Accuracy

100.0%

Counts

193 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
▶	69.5%	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))))
▶	99.9%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify91.0ms (1.9%)

Memory

-17.1MiB live, 82.2MiB allocated; 13ms collecting garbage

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	87
0	29	87
1	55	87
2	128	87
3	278	87
4	466	87
5	892	87
6	1433	87
7	2122	87
8	2970	87
9	3305	87
10	3379	87
11	3383	87
12	3383	87
13	3502	87
14	3536	87
0	3536	87

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize47.0ms (1%)

Memory

4.7MiB live, 96.9MiB allocated; 6ms collecting garbage

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sqrt.f64 (-.f64 y z))
accuracy	0.01953125	(sqrt.f64 (+.f64 z y))
accuracy	0.19921875	(*.f64 x (sqrt.f64 (+.f64 z y)))
accuracy	0.27181625976844204	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
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	27.912211373694944	(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
accuracy	0.0	(*.f64 y x)
accuracy	0.09354508616495981	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))

Samples

37.0ms

256×

valid

Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 12.0ms (49% of total)

ival-sqrt: 7.0ms (28.6% of total)

ival-sub: 5.0ms (20.4% of total)

ival-add: 1.0ms (4.1% of total)

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

adjust: 0.0ms (0% of total)

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

series38.0ms (0.8%)

Memory

17.1MiB live, 70.6MiB allocated; 8ms collecting garbage

Counts

11 → 156

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	y	@	inf	((* x (sqrt (- (* y y) (* z z)))) (* y x) (* x (sqrt (* (- y z) (+ z y)))) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (sqrt (- y z)))
7.0ms	y	@	-inf	((* x (sqrt (- (* y y) (* z z)))) (* y x) (* x (sqrt (* (- y z) (+ z y)))) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (sqrt (- y z)))
3.0ms	z	@	inf	((* x (sqrt (- (* y y) (* z z)))) (* y x) (* x (sqrt (* (- y z) (+ z y)))) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (sqrt (- y z)))
3.0ms	y	@	0	((* x (sqrt (- (* y y) (* z z)))) (* y x) (* x (sqrt (* (- y z) (+ z y)))) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (sqrt (- y z)))
3.0ms	x	@	0	((* x (sqrt (- (* y y) (* z z)))) (* y x) (* x (sqrt (* (- y z) (+ z y)))) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (sqrt (- y z)))

simplify164.0ms (3.4%)

Memory

-1.0MiB live, 228.2MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	820	4201
1	3144	3279
0	9443	3084

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 154

Calls

Call 1

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

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

rewrite159.0ms (3.3%)

Memory

15.2MiB live, 205.7MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	73
0	29	72
1	94	72
2	684	72
0	9188	72

Stop Event

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

Counts

11 → 577

Calls

Call 1

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

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

eval121.0ms (2.5%)

Memory: -22.5MiB live, 157.5MiB allocated; 30ms collecting garbage
Compiler: Compiled 24 938 to 3 616 computations (85.5% saved)

prune14.0ms (0.3%)

Memory

-2.1MiB live, 43.0MiB allocated; 3ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	850	2	852
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	850	5	855

Accuracy

100.0%

Counts

855 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
✓	69.5%	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))))
▶	100.0%	(.f64 x #s(approx (sqrt ( (- y z) (+ z y))) (fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z y)))
✓	99.9%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))
▶	100.0%	#s(approx (* x (sqrt (* (- y z) (+ z y)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 x (/.f64 z y)) (.f64 #s(literal 0 binary64) x))) z (.f64 y x)))

Compiler

Compiled 81 to 58 computations (28.4% saved)

simplify165.0ms (3.4%)

Memory

38.3MiB live, 84.3MiB allocated; 2ms collecting garbage

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	138
0	34	126
1	69	120
2	148	120
3	316	116
4	861	116
5	1627	116
6	2574	116
7	3333	116
8	3910	116
9	4755	116
10	5309	116
11	5971	116
12	6598	116
13	6790	116
14	7208	116
15	7270	116
16	7270	116
0	7270	116

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* x (sqrt (* (- y z) (+ z y)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 x (/.f64 z y)) (.f64 #s(literal 0 binary64) x))) z (.f64 y x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 x (/.f64 z y)) (.f64 #s(literal 0 binary64) x))) z (.f64 y x))
(.f64 #s(literal -1/2 binary64) (-.f64 (.f64 x (/.f64 z y)) (*.f64 #s(literal 0 binary64) x)))
#s(literal -1/2 binary64)
(-.f64 (.f64 x (/.f64 z y)) (.f64 #s(literal 0 binary64) x))
(*.f64 x (/.f64 z y))
x
(/.f64 z y)
z
y
(*.f64 #s(literal 0 binary64) x)
#s(literal 0 binary64)
(*.f64 y x)
(.f64 x #s(approx (sqrt ( (- y z) (+ z y))) (fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z y)))
x
#s(approx (sqrt (* (- y z) (+ z y))) (fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z y))
(fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z y)
(*.f64 (/.f64 z y) #s(literal -1/2 binary64))
(/.f64 z y)
z
y
#s(literal -1/2 binary64)

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

localize59.0ms (1.2%)

Memory

-1.6MiB live, 101.2MiB allocated; 10ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 z y)
accuracy	0.00390625	(*.f64 (/.f64 z y) #s(literal -1/2 binary64))
accuracy	0.0078125	(.f64 x #s(approx (sqrt ( (- y z) (+ z y))) (fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z y)))
accuracy	0.14624762973392416	#s(approx (sqrt (* (- y z) (+ z y))) (fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z y))
accuracy	0.0	(*.f64 #s(literal 0 binary64) x)
accuracy	0.0	#s(approx (* x (sqrt (* (- y z) (+ z y)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 x (/.f64 z y)) (.f64 #s(literal 0 binary64) x))) z (.f64 y x)))
accuracy	0.00390625	(.f64 #s(literal -1/2 binary64) (-.f64 (.f64 x (/.f64 z y)) (*.f64 #s(literal 0 binary64) x)))
accuracy	3.0381950418217167	(*.f64 x (/.f64 z y))

Samples

48.0ms

256×

valid

Compiler

Compiled 107 to 23 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-add: 15.0ms (44.4% of total)

ival-mult: 12.0ms (35.5% of total)

ival-sub: 3.0ms (8.9% of total)

ival-div: 2.0ms (5.9% of total)

ival-sqrt: 2.0ms (5.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.5%)

Memory

-10.1MiB live, 35.4MiB allocated; 4ms collecting garbage

Counts

11 → 64

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 x (/.f64 z y)) (.f64 #s(literal 0 binary64) x))) z (.f64 y x))
(-.f64 (.f64 x (/.f64 z y)) (.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 0 binary64) x)
#s(approx (* x (sqrt (* (- y z) (+ z y)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 x (/.f64 z y)) (.f64 #s(literal 0 binary64) x))) z (.f64 y x)))
(.f64 x #s(approx (sqrt ( (- y z) (+ z y))) (fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z y)))
#s(approx (sqrt (* (- y z) (+ z y))) (fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z y))
(fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z y)
(*.f64 (/.f64 z y) #s(literal -1/2 binary64))
(*.f64 x (/.f64 z y))
(.f64 #s(literal -1/2 binary64) (-.f64 (.f64 x (/.f64 z y)) (*.f64 #s(literal 0 binary64) x)))
(/.f64 z y)

Outputs
(* x (+ y (* -1/2 (/ (pow z 2) y))))
(/ (* x z) y)
0
(* x (sqrt (* (+ y z) (- y z))))
(* -1/2 (/ (* x z) y))
(* -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 (* y (+ z (* -1 z)))) (* z (sqrt -1)))) (* x (* z (sqrt -1))))
(+ (* x (* z (sqrt -1))) (* y (+ (* 1/2 (/ (* x (* y (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2))))))) (* z (sqrt -1)))) (* 1/2 (/ (* x (+ z (* -1 z))) (* z (sqrt -1)))))))
(+ (* x (* z (sqrt -1))) (* y (+ (* 1/2 (/ (* x (+ z (* -1 z))) (* z (sqrt -1)))) (* y (+ (* -1/4 (/ (* x (* y (* (+ z (* -1 z)) (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2)))))))) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* x (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2)))))) (* z (sqrt -1)))))))))
(* z (sqrt -1))
(+ (* 1/2 (/ (* y (+ z (* -1 z))) (* z (sqrt -1)))) (* z (sqrt -1)))
(+ (* y (+ (* 1/2 (/ (* y (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2)))))) (* z (sqrt -1)))) (* 1/2 (/ (+ z (* -1 z)) (* z (sqrt -1)))))) (* z (sqrt -1)))
(+ (* y (+ (* 1/2 (/ (+ z (* -1 z)) (* z (sqrt -1)))) (* y (+ (* -1/4 (/ (* y (* (+ z (* -1 z)) (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2))))))) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2))))) (* z (sqrt -1)))))))) (* z (sqrt -1)))
(* -1/2 (/ (pow z 2) y))
(/ (+ (* -1/2 (pow z 2)) (pow y 2)) y)
(* -1/2 (/ z y))
(/ z y)
(* x y)
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))
(* 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)))))))
(* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* -1 (* y (+ (* -1 x) (* 1/2 (/ (* x (pow z 2)) (pow y 2))))))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1/2 (/ (* x (+ z (* -1 z))) y)) (* x (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (* x (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2))))) y)) (* 1/2 (* x (+ z (* -1 z))))) y)) (* x (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* x (* (+ z (* -1 z)) (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2)))))) (* y (pow (sqrt -1) 2)))) (* 1/2 (* x (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2))))))) y)) (* 1/2 (* x (+ z (* -1 z))))) y)) (* x (pow (sqrt -1) 2)))))
(* -1 (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1/2 (/ (+ z (* -1 z)) y)) (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2)))) y)) (* 1/2 (+ z (* -1 z)))) y)) (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ z (* -1 z)) (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2))))) (* y (pow (sqrt -1) 2)))) (* 1/2 (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2)))))) y)) (* 1/2 (+ z (* -1 z)))) y)) (pow (sqrt -1) 2))))
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1)))
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y))
(+ (* 1/2 (/ (* x (* z (+ y (* -1 y)))) y)) (* x y))
(+ (* x y) (* z (+ (* -1/2 (/ (* x (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))) y)) (* 1/2 (/ (* x (+ y (* -1 y))) y)))))
(+ (* x y) (* z (+ (* 1/2 (/ (* x (+ y (* -1 y))) y)) (* z (+ (* -1/2 (/ (* x (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/4 (/ (* x (* z (* (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) (+ y (* -1 y))))) (pow y 3))))))))
(+ y (* 1/2 (/ (* z (+ y (* -1 y))) y)))
(+ y (* z (+ (* -1/2 (/ (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/2 (/ (+ y (* -1 y)) y)))))
(+ y (* z (+ (* 1/2 (/ (+ y (* -1 y)) y)) (* z (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) y)) (* 1/4 (/ (* z (* (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) (+ y (* -1 y)))) (pow y 3))))))))
(+ y (* -1/2 (/ (pow z 2) y)))
(* (pow z 2) (+ (* -1/2 (/ x y)) (/ (* x y) (pow z 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))))))))
(* (pow z 2) (- (/ y (pow z 2)) (* 1/2 (/ 1 y))))
(* -1 (* x (* z (sqrt -1))))
(* -1 (* z (+ (* -1/2 (/ (* x (+ y (* -1 y))) (* z (sqrt -1)))) (* x (sqrt -1)))))
(* -1 (* z (+ (* -1 (/ (+ (* -1/2 (/ (* x (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2))))) (* z (sqrt -1)))) (* 1/2 (/ (* x (+ y (* -1 y))) (sqrt -1)))) z)) (* x (sqrt -1)))))
(* -1 (* z (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* x (* (+ y (* -1 y)) (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2)))))) (* z (pow (sqrt -1) 3)))) (* 1/2 (/ (* x (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2))))) (sqrt -1)))) z)) (* 1/2 (/ (* x (+ y (* -1 y))) (sqrt -1)))) z)) (* x (sqrt -1)))))
(* -1 (* z (sqrt -1)))
(* -1 (* z (+ (sqrt -1) (* -1/2 (/ (+ y (* -1 y)) (* z (sqrt -1)))))))
(* -1 (* z (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2)))) (* z (sqrt -1)))) (* 1/2 (/ (+ y (* -1 y)) (sqrt -1)))) z)))))
(* -1 (* z (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ y (* -1 y)) (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2))))) (* z (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) z)) (* 1/2 (/ (+ y (* -1 y)) (sqrt -1)))) z)))))

Calls

9 calls:

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

simplify120.0ms (2.5%)

Memory

-5.9MiB live, 176.7MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	373	1534
1	1467	954
0	8715	880

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 63

Calls

Call 1

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

rewrite277.0ms (5.8%)

Memory

-11.4MiB live, 240.7MiB allocated; 146ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	123
0	34	111
1	136	105
2	940	105
0	8431	105

Stop Event

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

Counts

11 → 508

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 x (/.f64 z y)) (.f64 #s(literal 0 binary64) x))) z (.f64 y x))
(-.f64 (.f64 x (/.f64 z y)) (.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 0 binary64) x)
#s(approx (* x (sqrt (* (- y z) (+ z y)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 x (/.f64 z y)) (.f64 #s(literal 0 binary64) x))) z (.f64 y x)))
(.f64 x #s(approx (sqrt ( (- y z) (+ z y))) (fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z y)))
#s(approx (sqrt (* (- y z) (+ z y))) (fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z y))
(fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z y)
(*.f64 (/.f64 z y) #s(literal -1/2 binary64))
(*.f64 x (/.f64 z y))
(.f64 #s(literal -1/2 binary64) (-.f64 (.f64 x (/.f64 z y)) (*.f64 #s(literal 0 binary64) x)))
(/.f64 z y)

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

eval49.0ms (1%)

Memory: -17.9MiB live, 91.4MiB allocated; 8ms collecting garbage
Compiler: Compiled 15 523 to 1 721 computations (88.9% saved)

prune7.0ms (0.1%)

Memory

24.1MiB live, 24.1MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	399	1	400
Fresh	0	0	0
Picked	1	1	2
Done	1	2	3
Total	401	4	405

Accuracy

100.0%

Counts

405 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.5%	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))))
✓	100.0%	(.f64 x #s(approx (sqrt ( (- y z) (+ z y))) (fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z y)))
✓	99.9%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))
▶	98.4%	#s(approx (* x (sqrt (* (- y z) (+ z y)))) (fma.f64 (/.f64 z y) (.f64 x (.f64 z #s(literal -1/2 binary64))) (*.f64 y x)))

Compiler

Compiled 66 to 46 computations (30.3% saved)

simplify132.0ms (2.7%)

Memory

-26.9MiB live, 64.3MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	53
0	21	53
1	44	53
2	106	51
3	293	51
4	685	51
5	1287	51
6	1856	51
7	2433	51
8	2999	51
9	3762	51
10	4339	51
11	4825	51
12	5411	51
13	5615	51
14	6016	51
15	6076	51
0	6076	49

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize38.0ms (0.8%)

Memory

5.8MiB live, 58.3MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.0	#s(approx (* x (sqrt (* (- y z) (+ z y)))) (fma.f64 (/.f64 z y) (.f64 x (.f64 z #s(literal -1/2 binary64))) (*.f64 y x)))
accuracy	0.009070031620653759	(.f64 x (.f64 z #s(literal -1/2 binary64)))
accuracy	0.7968750000000001	(fma.f64 (/.f64 z y) (.f64 x (.f64 z #s(literal -1/2 binary64))) (*.f64 y x))

Samples

30.0ms

256×

valid

Compiler

Compiled 43 to 17 computations (60.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 9.0ms (41.4% of total)

ival-sqrt: 7.0ms (32.2% of total)

ival-div: 2.0ms (9.2% of total)

ival-add: 2.0ms (9.2% of total)

ival-sub: 2.0ms (9.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory

30.7MiB live, 30.7MiB allocated; 0ms collecting garbage

Counts

5 → 33

Calls

Call 1

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

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

Calls

9 calls:

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

simplify175.0ms (3.6%)

Memory

-8.7MiB live, 176.8MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	234	943
1	897	628
2	4993	604
0	8084	557

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

Calls

Call 1

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

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

rewrite227.0ms (4.7%)

Memory

22.2MiB live, 303.2MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	46
0	21	46
1	84	46
2	619	44
0	8324	42

Stop Event

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

Counts

5 → 121

Calls

Call 1

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

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

eval18.0ms (0.4%)

Memory: 1.2MiB live, 47.5MiB allocated; 2ms collecting garbage
Compiler: Compiled 5 516 to 570 computations (89.7% saved)

prune11.0ms (0.2%)

Memory

-35.4MiB live, 18.7MiB allocated; 6ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	149	4	153

Accuracy

100.0%

Counts

153 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.5%	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))))
✓	100.0%	(.f64 x #s(approx (sqrt ( (- y z) (+ z y))) (fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z y)))
✓	99.9%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))
✓	98.4%	#s(approx (* x (sqrt (* (- y z) (+ z y)))) (fma.f64 (/.f64 z y) (.f64 x (.f64 z #s(literal -1/2 binary64))) (*.f64 y x)))

Compiler

Compiled 180 to 92 computations (48.9% saved)

regimes20.0ms (0.4%)

Memory

0.8MiB live, 46.3MiB allocated; 3ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))
(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))))
(.f64 x #s(approx (sqrt ( (- y z) (+ z y))) (fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z y)))
(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
#s(approx (* x (sqrt (* (- y z) (+ z y)))) (fma.f64 (/.f64 z y) (.f64 x (.f64 z #s(literal -1/2 binary64))) (*.f64 y x)))
(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
#s(approx (* x (sqrt (* (- y z) (+ z y)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 x (/.f64 z y)) (.f64 #s(literal 0 binary64) x))) z (.f64 y x)))

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 z z)`
100.0%	1	`(*.f64 y y)`
100.0%	1	`(-.f64 (.f64 y y) (.f64 z z))`
100.0%	1	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
100.0%	1	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 34 to 38 computations (-11.8% saved)

regimes18.0ms (0.4%)

Memory

0.3MiB live, 45.6MiB allocated; 3ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 z z)`
100.0%	1	`(*.f64 y y)`
100.0%	1	`(-.f64 (.f64 y y) (.f64 z z))`
100.0%	1	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
100.0%	1	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 34 to 38 computations (-11.8% saved)

regimes10.0ms (0.2%)

Memory

29.2MiB live, 29.2MiB allocated; 0ms collecting garbage

Accuracy

Total -19.5b remaining (-20802%)

Threshold costs -19.5b (-20802%)

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:

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

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 z z)`
99.9%	1	`(*.f64 y y)`
99.9%	1	`(-.f64 (.f64 y y) (.f64 z z))`
99.9%	1	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
99.9%	1	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`

Compiler

Compiled 34 to 38 computations (-11.8% saved)

simplify89.0ms (1.9%)

Memory

-18.7MiB live, 77.6MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	58
1	57	58
2	128	56
3	281	56
4	467	56
5	901	56
6	1439	56
7	2125	56
8	2957	56
9	3293	56
10	3751	56
11	4992	56
12	7541	56

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

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

derivations523.0ms (10.9%)

Memory

14.9MiB live, 403.7MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	13	28
1	45	28
2	356	28
3	4776	28
0	8785	17
0	205	1144
1	708	1143
2	3083	1100
0	8534	1028
0	820	4201
1	3144	3279
0	9443	3084

Stop Event

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

Compiler

Compiled 56 to 20 computations (64.3% saved)

preprocess86.0ms (1.8%)

Memory

7.5MiB live, 137.5MiB allocated; 22ms collecting garbage

Remove

(negabs x)

(abs z)

Compiler

Compiled 722 to 444 computations (38.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze159.0ms (3.3%)

sample1.2s (24.6%)

explain103.0ms (2.1%)

preprocess126.0ms (2.6%)

eval0.0ms (0%)

prune21.0ms (0.4%)

simplify73.0ms (1.5%)

localize26.0ms (0.5%)

series10.0ms (0.2%)

simplify230.0ms (4.8%)

rewrite146.0ms (3%)

eval30.0ms (0.6%)

prune3.0ms (0.1%)

simplify91.0ms (1.9%)

localize47.0ms (1%)

series38.0ms (0.8%)

simplify164.0ms (3.4%)

rewrite159.0ms (3.3%)

eval121.0ms (2.5%)

prune14.0ms (0.3%)

simplify165.0ms (3.4%)

localize59.0ms (1.2%)

series23.0ms (0.5%)

simplify120.0ms (2.5%)

rewrite277.0ms (5.8%)

eval49.0ms (1%)

prune7.0ms (0.1%)

simplify132.0ms (2.7%)

localize38.0ms (0.8%)

series16.0ms (0.3%)

simplify175.0ms (3.6%)

rewrite227.0ms (4.7%)

eval18.0ms (0.4%)

prune11.0ms (0.2%)

regimes20.0ms (0.4%)

regimes18.0ms (0.4%)

regimes10.0ms (0.2%)

simplify89.0ms (1.9%)

derivations523.0ms (10.9%)

preprocess86.0ms (1.8%)

end0.0ms (0%)

Profiling