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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze320.0ms (5.2%)

Memory

10.4MiB live, 134.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.6s (26.2%)

Memory

-0.5MiB live, 1 585.0MiB allocated

Samples

990.0ms	8 256×	0	valid
216.0ms	2 468×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 750.0ms

ival-mult: 579.0ms (77.2% of total)

ival-sqrt: 107.0ms (14.3% of total)

ival-sub: 51.0ms (6.8% of total)

ival-true: 8.0ms (1.1% of total)

ival-assert: 5.0ms (0.7% of total)

Bogosity

explain212.0ms (3.4%)

Memory

-19.3MiB live, 117.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
126	-	1	(5.130842830229881e-103 1.1462232805108843e-155 -4.8172272728142435e-179)	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
22	-	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	109	0
↳	`(*.f64 y y)`	overflow	109
↳	`(-.f64 (.f64 y y) (.f64 z z))`	overflow	109
↳	`(*.f64 z z)`	overflow	22
`-.f64`	`(-.f64 (.f64 y y) (.f64 z z))`	nan-rescue	22	0
↳	`(*.f64 y y)`	overflow	109
↳	`(*.f64 z z)`	overflow	22
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`	uflow-rescue	16	0
↳	`(*.f64 y y)`	underflow	16
↳	`(-.f64 (.f64 y y) (.f64 z z))`	underflow	16
↳	`(*.f64 z z)`	underflow	111

Confusion

	Predicted +	Predicted -
+	85	1
-	40	130

Precision

0.68

Recall

0.9883720930232558

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	85	0	1
-	40	0	130

Precision?

0.68

Recall?

0.9883720930232558

Freqs

test

number	freq
0	131
1	103
2	22

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 116 to 36 computations (69% saved)

Precisions

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

ival-mult: 10.0ms (61.6% of total)

ival-sqrt: 4.0ms (24.7% of total)

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

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

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

preprocess808.0ms (13%)

Memory

24.7MiB live, 213.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	93
1	108	93
2	221	93
3	608	93
4	1762	93
5	2860	93
6	4103	93
7	4773	93
8	5328	93
9	5627	93
10	5717	93
11	5813	93
12	5877	93
13	7029	93
14	7605	93
15	7701	93
16	7797	93
17	7893	93
18	7893	93
0	8	10
0	13	10
1	22	10
2	33	10
3	59	10
4	123	10
5	326	10
6	584	10
7	1285	10
8	2617	10
9	4287	10
10	5110	10
11	5479	10
12	5709	10
13	5823	10
14	5823	10
15	6783	10
16	6943	10
17	7263	10
18	7263	10
19	7663	10
20	7823	10
21	7903	10
22	7903	10
23	7903	10
0	10370	10

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(abs y)

(negabs x)

Compiler

Compiled 10 to 8 computations (20% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.8%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify493.0ms (7.9%)

Memory

4.4MiB live, 164.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
0	13	34
1	22	34
2	33	34
3	59	34
4	123	34
5	326	34
6	584	34
7	1285	34
8	2617	34
9	4287	34
10	5110	34
11	5479	34
12	5709	34
13	5823	34
14	5823	34
15	6783	34
16	6943	34
17	7263	34
18	7263	34
19	7663	34
20	7823	34
21	7903	34
22	7903	34
23	7903	34
0	10370	34

Stop Event

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

Calls

Call 1

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

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

localize76.0ms (1.2%)

Memory

-2.2MiB live, 34.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
accuracy	4.382812500000001	(-.f64 (.f64 y y) (.f64 z z))
accuracy	29.121438066902208	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

Samples

71.0ms

256×

valid

Compiler

Compiled 70 to 18 computations (74.3% saved)

Precisions

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

ival-mult: 5.0ms (61.3% of total)

ival-sqrt: 2.0ms (24.5% of total)

ival-sub: 1.0ms (12.3% of total)

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

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

series10.0ms (0.2%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

4 → 51

Calls

Call 1

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

Outputs
(* x (sqrt (- (pow y 2) (pow z 2))))
(* -1 (pow z 2))
(- (pow y 2) (pow z 2))
(* x (* z (sqrt -1)))
(+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1))))
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* -1/8 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ x (* z (sqrt -1)))))))
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* 1/2 (/ x (* z (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (/ x (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* x (pow y 2)) (* (pow z 5) (pow (sqrt -1) 5)))))))))
(* z (sqrt -1))
(+ (* 1/2 (/ (pow y 2) (* z (sqrt -1)))) (* z (sqrt -1)))
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* z (sqrt -1)))))))
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (* (pow z 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow z 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* z (sqrt -1)))))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* x y)
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))
y
(* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4))))))
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6)))))))
(* -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 (pow z 2)) (pow y 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))))))))
(+ 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)))))
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1))
(* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))
(* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))))
(* -1 (* 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	((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y))
1.0ms	z	@	inf	((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y))
1.0ms	x	@	0	((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y))
1.0ms	y	@	0	((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y))
1.0ms	x	@	-inf	((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y))

simplify221.0ms (3.6%)

Memory

-24.3MiB live, 213.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1152
1	648	1151
2	2496	1094
0	8097	1022

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 50

Calls

Call 1

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

rewrite176.0ms (2.8%)

Memory

1.0MiB live, 279.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	13	28
1	40	28
2	243	28
3	2153	28
0	9408	28

Stop Event

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

Counts

4 → 332

Calls

Call 1

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

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

eval46.0ms (0.7%)

Memory: 18.4MiB live, 130.4MiB allocated
Compiler: Compiled 12 269 to 1 729 computations (85.9% saved)

prune8.0ms (0.1%)

Memory

-25.3MiB live, 22.8MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	377	4	381
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	378	4	382

Accuracy

100.0%

Counts

382 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x))
▶	72.0%	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
▶	99.8%	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
▶	99.4%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 54 to 40 computations (25.9% saved)

simplify254.0ms (4.1%)

Memory

3.3MiB live, 243.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	141
0	40	141
1	71	141
2	114	141
3	179	141
4	299	141
5	640	141
6	1592	141
7	3384	141
8	6241	141
0	8391	141

Stop Event

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

Calls

Call 1

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

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

localize89.0ms (1.4%)

Memory

7.2MiB live, 88.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 (+.f64 z y))
accuracy	0.01171875	(sqrt.f64 (-.f64 y z))
accuracy	0.20703125	(*.f64 (sqrt.f64 (-.f64 y z)) x)
accuracy	0.26171875	(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x))
accuracy	0.0	(+.f64 z y)
accuracy	0.0	(*.f64 (-.f64 y z) (+.f64 z y))
accuracy	0.0	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
accuracy	29.121438066902208	(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
accuracy	0.0	(/.f64 z y)
accuracy	0.0	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	0.13662631806958592	#s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))
accuracy	0.0	(*.f64 x y)
accuracy	0.3751882249591384	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Samples

75.0ms

256×

valid

Compiler

Compiled 263 to 50 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 17.0ms (55.9% of total)

ival-sqrt: 6.0ms (19.7% of total)

ival-div: 2.0ms (6.6% of total)

ival-sub: 2.0ms (6.6% of total)

ival-add: 2.0ms (6.6% of total)

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

exact: 0.0ms (0% of total)

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

series103.0ms (1.7%)

Memory

14.8MiB live, 53.4MiB allocated

Counts

16 → 181

Calls

Call 1

Inputs
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))
(*.f64 x y)
(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
#s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)
(*.f64 #s(literal -1/2 binary64) z)
(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
(*.f64 (-.f64 y z) (+.f64 z y))
(-.f64 y z)
(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x))
(sqrt.f64 (+.f64 z y))
(+.f64 z y)
(*.f64 (sqrt.f64 (-.f64 y z)) x)
(/.f64 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)))
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(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* 1/2 (* y (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1/8 (* (/ (pow y 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* y (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1/8 (* (/ (pow y 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (/ (pow y 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* y (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* (* x (sqrt -1)) (sqrt z)))
(* -1 (* z (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (pow z 3))))) (* (* x (sqrt -1)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1/8 (* (* x (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (pow z 3))))) (* (* x (sqrt -1)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/8 (* (* x (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (* x (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (pow z 3))))) (* (* x (sqrt -1)) (sqrt (/ 1 z))))))))
(* -1 (* (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
70.0ms	y	@	inf	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (/ z y) (sqrt (- y z)))
8.0ms	y	@	-inf	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (/ z y) (sqrt (- y z)))
5.0ms	z	@	inf	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (/ z y) (sqrt (- y z)))
4.0ms	y	@	0	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (/ z y) (sqrt (- y z)))
4.0ms	z	@	-inf	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (sqrt (+ z y)) (* (sqrt (- y z)) x)) (sqrt (+ z y)) (+ z y) (* (sqrt (- y z)) x) (/ z y) (sqrt (- y z)))

simplify311.0ms (5%)

Memory

12.8MiB live, 128.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	917	4840
1	3138	3923
0	9287	3686

Stop Event

1×	iter limit
1×	node limit

Counts

181 → 179

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

rewrite337.0ms (5.4%)

Memory

-15.8MiB live, 254.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	123
0	40	122
1	127	122
2	804	122
0	8647	122

Stop Event

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

Counts

16 → 756

Calls

Call 1

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

eval208.0ms (3.4%)

Memory: 18.7MiB live, 386.3MiB allocated
Compiler: Compiled 31 943 to 4 596 computations (85.6% saved)

prune18.0ms (0.3%)

Memory

-13.3MiB live, 64.3MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	1 108	1	1 109
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	1 108	5	1 113

Accuracy

100.0%

Counts

1 113 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x))
✓	72.0%	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
✓	99.8%	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
▶	99.7%	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z) y)))))
✓	99.4%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify130.0ms (2.1%)

Memory

17.9MiB live, 139.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z) y))
cost-diff	0	#s(approx (sqrt (- (* y y) (* z z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z) y))))
cost-diff	0	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z) y)))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	85
0	23	73
1	44	73
2	75	73
3	137	73
4	259	73
5	563	73
6	845	73
7	1673	73
8	3021	73
9	5486	73
10	7028	73
11	7843	73
0	8026	73

Stop Event

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

Calls

Call 1

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

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

localize36.0ms (0.6%)

Memory

0.0MiB live, 78.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z) y))
accuracy	0.13662631806958592	#s(approx (sqrt (- (* y y) (* z z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z) y))))
accuracy	0.16015625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z) y)))

Samples

27.0ms

256×

valid

Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions

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

ival-mult: 7.0ms (42.5% of total)

ival-div: 4.0ms (24.3% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.5%)

Memory

-47.1MiB live, 45.3MiB allocated

Counts

5 → 67

Calls

Call 1

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

Outputs
(* x (sqrt (- (pow y 2) (pow z 2))))
(* -1/2 (/ (pow z 2) y))
(/ (+ (* -1/2 (pow z 2)) (pow y 2)) y)
(* x (* z (sqrt -1)))
(+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1))))
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* -1/8 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ x (* z (sqrt -1)))))))
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* 1/2 (/ x (* z (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (/ x (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* x (pow y 2)) (* (pow z 5) (pow (sqrt -1) 5)))))))))
(* 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)))))))
(* -2 (/ y (pow z 2)))
(* y (- (* -4 (/ (pow y 2) (pow z 4))) (* 2 (/ 1 (pow z 2)))))
(* y (- (* (pow y 2) (- (* -8 (/ (pow y 2) (pow z 6))) (* 4 (/ 1 (pow z 4))))) (* 2 (/ 1 (pow z 2)))))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -16 (/ (pow y 2) (pow z 8))) (* 8 (/ 1 (pow z 6))))) (* 4 (/ 1 (pow z 4))))) (* 2 (/ 1 (pow z 2)))))
y
(* y (+ 1 (* -1/2 (/ (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 (+ 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)))))))
(/ 1 y)
(/ (+ 1 (* 1/2 (/ (pow z 2) (pow y 2)))) y)
(/ (- (+ 1 (* 1/4 (/ (pow z 4) (pow y 4)))) (* -1/2 (/ (pow z 2) (pow y 2)))) y)
(/ (- (+ 1 (* 1/8 (/ (pow z 6) (pow y 6)))) (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/4 (/ (pow z 4) (pow y 4))))) y)
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))))
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4)))))))
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6))))))))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2))))))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4)))))))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6))))))))
(* -1 (/ (- (* -1/2 (/ (pow z 2) (pow y 2))) 1) y))
(* -1 (/ (- (* -1/4 (/ (pow z 4) (pow y 4))) (+ 1 (* 1/2 (/ (pow z 2) (pow y 2))))) y))
(* -1 (/ (- (* -1/8 (/ (pow z 6) (pow y 6))) (+ 1 (+ (* 1/4 (/ (pow z 4) (pow y 4))) (* 1/2 (/ (pow z 2) (pow y 2)))))) y))
(+ y (* -1/2 (/ (pow z 2) y)))
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3))))))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5))))))))
(+ y (* (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)))))
(+ (* 1/2 (/ (pow z 2) (pow y 3))) (/ 1 y))
(+ (* (pow z 2) (+ (* 1/4 (/ (pow z 2) (pow y 5))) (* 1/2 (/ 1 (pow y 3))))) (/ 1 y))
(+ (* (pow z 2) (+ (* (pow z 2) (+ (* 1/8 (/ (pow z 2) (pow y 7))) (* 1/4 (/ 1 (pow y 5))))) (* 1/2 (/ 1 (pow y 3))))) (/ 1 y))
(* -1/2 z)
(* (pow z 2) (- (/ y (pow z 2)) (* 1/2 (/ 1 y))))
(* 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))))))))
(/ (+ (* -4 (/ (pow y 3) (pow z 2))) (* -2 y)) (pow z 2))
(/ (- (+ (* -8 (/ (pow y 5) (pow z 4))) (* -2 y)) (* 4 (/ (pow y 3) (pow z 2)))) (pow z 2))
(/ (- (+ (* -16 (/ (pow y 7) (pow z 6))) (* -2 y)) (+ (* 4 (/ (pow y 3) (pow z 2))) (* 8 (/ (pow y 5) (pow z 4))))) (pow z 2))
(* -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
19.0ms	x	@	-inf	((/ 1 (/ 1 (+ (* (/ z y) (* -1/2 z)) y))) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (/ 1 (+ (* (/ z y) (* -1/2 z)) y)) (* -1/2 z))
2.0ms	z	@	-inf	((/ 1 (/ 1 (+ (* (/ z y) (* -1/2 z)) y))) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (/ 1 (+ (* (/ z y) (* -1/2 z)) y)) (* -1/2 z))
1.0ms	z	@	inf	((/ 1 (/ 1 (+ (* (/ z y) (* -1/2 z)) y))) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (/ 1 (+ (* (/ z y) (* -1/2 z)) y)) (* -1/2 z))
1.0ms	y	@	0	((/ 1 (/ 1 (+ (* (/ z y) (* -1/2 z)) y))) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (/ 1 (+ (* (/ z y) (* -1/2 z)) y)) (* -1/2 z))
1.0ms	y	@	inf	((/ 1 (/ 1 (+ (* (/ z y) (* -1/2 z)) y))) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (/ 1 (+ (* (/ z y) (* -1/2 z)) y)) (* -1/2 z))

simplify171.0ms (2.8%)

Memory

17.0MiB live, 244.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	301	1531
1	928	1531
2	3306	1475
0	8454	1371

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 66

Calls

Call 1

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

rewrite159.0ms (2.6%)

Memory

9.2MiB live, 213.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	69
0	23	57
1	93	57
2	570	57
3	6245	57
0	8228	57

Stop Event

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

Counts

5 → 227

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (-.f64 (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 y (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) (+.f64 y (/.f64 (.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y) (-.f64 (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y) (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) #s(literal 1/2 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y)) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y))))
(.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) #s(literal 1/2 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) #s(literal 1/2 binary64)))
(.f64 (-.f64 (.f64 y y) (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y)) (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)))
(.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y)))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y)))))
(.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y)))
(.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (+.f64 y (/.f64 (.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)) y)) #s(literal -1 binary64))))
(.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y))))
(.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (+.f64 y (/.f64 (.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)) y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) (.f64 (fma.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) (/.f64 (fma.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64) (neg.f64 y)) (fma.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64) (neg.f64 y))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) #s(literal 1 binary64))
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(/.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) #s(literal -1 binary64)) (-.f64 (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 y (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))))
(/.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))
(/.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) (+.f64 y (/.f64 (.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))))
(/.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y) (-.f64 (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y) (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) #s(literal 4 binary64))))
(/.f64 (/.f64 (fma.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64) (neg.f64 y)) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) (neg.f64 y)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y) #s(literal 2 binary64)))) (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) #s(literal 6 binary64)))) (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y) (-.f64 (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y) (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) #s(literal 4 binary64)))))
(/.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y)))
(/.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (+.f64 y (/.f64 (.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)) y)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y) #s(literal 2 binary64))) (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) (+.f64 y (/.f64 (.f64 (*.f64 z z) #s(literal 1/2 binary64)) y))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 y (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) #s(literal 6 binary64))) (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y) (-.f64 (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y) (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y) (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (fma.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64) (neg.f64 y)) (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y)) (fma.f64 (pow.f64 (*.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
(/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) #s(literal -1 binary64)) (.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) (.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)) (neg.f64 y)))
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y) (.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y)))
(fma.f64 (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y) (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))))
(fma.f64 (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y) (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))))
(fma.f64 (.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) #s(literal -1 binary64)) (.f64 (neg.f64 y) (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y))) (/.f64 y (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y))))
(-.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 y y)) (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 y (.f64 (/.f64 z y) z)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))))
(+.f64 (.f64 (.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) #s(literal -1 binary64))) (.f64 (neg.f64 y) (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y) (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (.f64 (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (.f64 (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y) (pow.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))))
(+.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) #s(literal -1 binary64)) (.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) (.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) #s(literal -1 binary64)) (neg.f64 y)))
(+.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 y (/.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) y)) y)) (.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 (*.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(+.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 y (/.f64 (.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)) y)))
(.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 z #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) z))

eval34.0ms (0.5%)

Memory: 14.1MiB live, 50.7MiB allocated
Compiler: Compiled 11 432 to 1 374 computations (88% saved)

prune7.0ms (0.1%)

Memory

-22.9MiB live, 15.6MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	289	0	289
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	289	5	294

Accuracy

100.0%

Counts

294 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x))
✓	72.0%	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
✓	99.8%	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
✓	99.7%	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z) y)))))
✓	99.4%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 164 to 92 computations (43.9% saved)

regimes17.0ms (0.3%)

Memory

27.6MiB live, 27.6MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 34 to 38 computations (-11.8% saved)

regimes13.0ms (0.2%)

Memory

-6.6MiB live, 30.4MiB allocated

Accuracy

Total -17.6b remaining (-4699.9%)

Threshold costs -17.6b (-4699.9%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

8 calls:

4.0ms	(*.f64 y y)
1.0ms	y
1.0ms	(-.f64 (.f64 y y) (.f64 z z))
1.0ms	x
1.0ms	z

Results

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

Compiler

Compiled 34 to 38 computations (-11.8% saved)

simplify85.0ms (1.4%)

Memory

-22.0MiB live, 60.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	33
1	25	33
2	36	33
3	62	33
4	128	33
5	334	33
6	753	33
7	2273	33
8	4350	33

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness166.0ms (2.7%)

Memory

18.9MiB live, 138.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1152
1	648	1151
2	2496	1094
0	8097	1022

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 46 to 28 computations (39.1% saved)

preprocess42.0ms (0.7%)

Memory

18.9MiB live, 97.1MiB allocated

Remove

(negabs x)

(abs z)

Compiler

Compiled 276 to 180 computations (34.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze320.0ms (5.2%)

sample1.6s (26.2%)

explain212.0ms (3.4%)

preprocess808.0ms (13%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify493.0ms (7.9%)

localize76.0ms (1.2%)

series10.0ms (0.2%)

simplify221.0ms (3.6%)

rewrite176.0ms (2.8%)

eval46.0ms (0.7%)

prune8.0ms (0.1%)

simplify254.0ms (4.1%)

localize89.0ms (1.4%)

series103.0ms (1.7%)

simplify311.0ms (5%)

rewrite337.0ms (5.4%)

eval208.0ms (3.4%)

prune18.0ms (0.3%)

simplify130.0ms (2.1%)

localize36.0ms (0.6%)

series28.0ms (0.5%)

simplify171.0ms (2.8%)

rewrite159.0ms (2.6%)

eval34.0ms (0.5%)

prune7.0ms (0.1%)

regimes17.0ms (0.3%)

regimes13.0ms (0.2%)

simplify85.0ms (1.4%)

soundness166.0ms (2.7%)

preprocess42.0ms (0.7%)

end0.0ms (0%)

Profiling