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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze103.0ms (1.6%)

Memory

10.8MiB live, 166.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.5s (24%)

Memory

21.7MiB live, 1 480.2MiB allocated

Samples

792.0ms	8 256×	0	valid
231.0ms	2 429×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 587.0ms

ival-mult: 361.0ms (61.5% of total)

ival-sqrt: 168.0ms (28.6% of total)

ival-sub: 48.0ms (8.2% of total)

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

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

Bogosity

explain278.0ms (4.4%)

Memory

-26.7MiB live, 181.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
106	-	-	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
23	-	-	`(-.f64 (.f64 y y) (.f64 z z))`
0	-	-	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
0	-	-	`y`
0	-	-	`(*.f64 z z)`
0	-	-	`(*.f64 y y)`
0	-	-	`z`
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	96	0
↳	`(*.f64 y y)`	overflow	96
↳	`(-.f64 (.f64 y y) (.f64 z z))`	overflow	96
↳	`(*.f64 z z)`	overflow	23
`-.f64`	`(-.f64 (.f64 y y) (.f64 z z))`	nan-rescue	23	0
↳	`(*.f64 y y)`	overflow	96
↳	`(*.f64 z z)`	overflow	23
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`	uflow-rescue	10	0
↳	`(*.f64 y y)`	underflow	10
↳	`(-.f64 (.f64 y y) (.f64 z z))`	underflow	10
↳	`(*.f64 z z)`	underflow	110

Confusion

	Predicted +	Predicted -
+	82	0
-	24	150

Precision

0.7735849056603774

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	82	0	0
-	24	0	150

Precision?

0.7735849056603774

Recall?

1.0

Freqs

test

number	freq
0	150
1	83
2	23

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

98.0ms

512×

valid

Compiler

Compiled 150 to 44 computations (70.7% saved)

Precisions

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

ival-mult: 10.0ms (59.2% of total)

ival-sqrt: 4.0ms (23.7% of total)

ival-sub: 2.0ms (11.8% of total)

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

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

preprocess555.0ms (8.8%)

Memory

35.8MiB live, 263.2MiB 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	1655	93
5	2753	93
6	3995	93
7	4670	93
8	5262	93
9	5561	93
10	5651	93
11	5747	93
12	5811	93
13	6963	93
14	7539	93
15	7635	93
16	7731	93
17	7827	93
18	7827	93
0	8	10
0	13	10
1	22	10
2	33	10
3	59	10
4	123	10
5	324	10
6	579	10
7	1254	10
8	2514	10
9	4177	10
10	5039	10
11	5408	10
12	5638	10
13	5752	10
14	5752	10
15	6712	10
16	6872	10
17	7192	10
18	7192	10
19	7592	10
20	7752	10
21	7832	10
22	7832	10
23	7832	10
0	10485	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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.2%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify451.0ms (7.1%)

Memory

-7.1MiB live, 275.6MiB 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	324	34
6	579	34
7	1254	34
8	2514	34
9	4177	34
10	5039	34
11	5408	34
12	5638	34
13	5752	34
14	5752	34
15	6712	34
16	6872	34
17	7192	34
18	7192	34
19	7592	34
20	7752	34
21	7832	34
22	7832	34
23	7832	34
0	10485	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

localize24.0ms (0.4%)

Memory

-16.1MiB live, 59.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
accuracy	4.589843750000001	(-.f64 (.f64 y y) (.f64 z z))
accuracy	24.579612196496374	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

Samples

16.0ms

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 (62.9% of total)

ival-sqrt: 2.0ms (25.2% of total)

ival-sub: 1.0ms (12.6% of total)

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

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

series11.0ms (0.2%)

Memory

22.1MiB live, 22.1MiB 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	y	@	0	((- (* 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	x	@	-inf	((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y))

simplify185.0ms (2.9%)

Memory

-13.7MiB live, 219.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1152
1	648	1151
2	2459	1094
3	7917	1094
0	8151	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))))))

rewrite306.0ms (4.8%)

Memory

-20.4MiB live, 271.3MiB 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	9394	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)))

eval152.0ms (2.4%)

Memory: 15.2MiB live, 89.3MiB allocated
Compiler: Compiled 12 269 to 1 729 computations (85.9% saved)

prune6.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	377	4	381
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	377	5	382

Accuracy

100.0%

Counts

382 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
▶	74.1%	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
✓	69.2%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
▶	99.3%	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
▶	98.8%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 64 to 48 computations (25% saved)

simplify216.0ms (3.4%)

Memory

-26.5MiB live, 131.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 z y)
cost-diff	0	(sqrt.f64 (+.f64 z y))
cost-diff	0	(*.f64 x (sqrt.f64 (+.f64 z y)))
cost-diff	0	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
cost-diff	0	(-.f64 y z)
cost-diff	0	(*.f64 (-.f64 y z) (+.f64 z y))
cost-diff	0	(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
cost-diff	0	(.f64 (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	113	141
3	178	141
4	301	141
5	640	141
6	1555	141
7	3314	141
8	6164	141
0	8299	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 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
(*.f64 x (sqrt.f64 (+.f64 z y)))
x
(sqrt.f64 (+.f64 z y))
(+.f64 z y)
z
y
(sqrt.f64 (-.f64 y z))
(-.f64 y z)

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

localize169.0ms (2.7%)

Memory

17.9MiB live, 98.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(sqrt.f64 (-.f64 y z))
accuracy	0.0078125	(sqrt.f64 (+.f64 z y))
accuracy	0.23046875	(*.f64 x (sqrt.f64 (+.f64 z y)))
accuracy	0.26171875	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
accuracy	0	(+.f64 z y)
accuracy	0	(*.f64 (-.f64 y z) (+.f64 z y))
accuracy	0	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
accuracy	24.579612196496374	(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
accuracy	0	(/.f64 z y)
accuracy	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	(*.f64 #s(literal -1/2 binary64) z)
accuracy	0.4680052516964317	#s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))
accuracy	0	(*.f64 x y)
accuracy	0.7477428978807417	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Samples

64.0ms

256×

valid

Compiler

Compiled 263 to 50 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 14.0ms (50.9% of total)

ival-sqrt: 6.0ms (21.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

series143.0ms (2.3%)

Memory

-1.6MiB live, 71.5MiB 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 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
(*.f64 x (sqrt.f64 (+.f64 z y)))
(sqrt.f64 (+.f64 z y))
(+.f64 z y)
(/.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))))
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(* -1 (* z (+ (* -1/8 (* (/ (* x (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (* x y) (sqrt (/ 1 (pow z 3))))) (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/8 (* (/ (* x (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (/ (* x (pow y 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (* x y) (sqrt (/ 1 (pow z 3))))) (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* 1/2 (* y (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1/8 (* (/ (pow y 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* y (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1/8 (* (/ (pow y 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (/ (pow y 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* y (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* (sqrt z) (sqrt -1)))
(* -1 (* z (+ (* 1/2 (* (* y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1)))))
(* -1 (* z (+ (* -1/8 (* (* (pow y 2) (sqrt -1)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (* y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1))))))
(* -1 (* z (+ (* -1/8 (* (* (pow y 2) (sqrt -1)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (* (pow y 3) (sqrt -1)) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (* y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1)))))))

Calls

9 calls:

Time	Variable		Point	Expression
62.0ms	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) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ z y) (sqrt (- y z)))
52.0ms	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) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ 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) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ 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) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ 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) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ z y) (sqrt (- y z)))

simplify301.0ms (4.8%)

Memory

4.6MiB live, 208.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	902	4815
1	3081	4026
0	9629	3779

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

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

rewrite192.0ms (3%)

Memory

29.8MiB live, 300.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	123
0	40	122
1	127	122
2	803	122
0	8597	122

Stop Event

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

Counts

16 → 747

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

eval167.0ms (2.6%)

Memory: -16.7MiB live, 268.6MiB allocated
Compiler: Compiled 31 988 to 4 542 computations (85.8% saved)

prune20.0ms (0.3%)

Memory

-5.2MiB live, 71.8MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 106	1	1 107
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	1 106	6	1 112

Accuracy

100.0%

Counts

1 112 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)))))
✓	99.4%	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
✓	74.1%	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
✓	69.2%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
✓	99.3%	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
✓	98.8%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 79 to 60 computations (24.1% saved)

simplify11.0ms (0.2%)

Memory

13.3MiB live, 13.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 z y)
cost-diff	0	(sqrt.f64 (+.f64 z y))
cost-diff	0	(*.f64 x (sqrt.f64 (+.f64 z y)))
cost-diff	320	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	54
0	20	54
1	31	52
2	50	52
3	75	52
4	92	52
5	115	52
6	149	52
7	179	52
8	237	52
9	279	52
10	311	52
11	313	52
0	313	52

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (0.6%)

Memory

-26.5MiB live, 57.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)))
accuracy	0.23046875	(*.f64 x (sqrt.f64 (+.f64 z y)))
accuracy	0.25	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z))))
accuracy	0.26171875	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)))))

Samples

27.0ms

256×

valid

Compiler

Compiled 110 to 26 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-sqrt: 4.0ms (29.3% of total)

ival-div: 3.0ms (22% of total)

ival-mult: 3.0ms (22% of total)

ival-add: 2.0ms (14.7% of total)

ival-sub: 1.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

6 → 115

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	((* (* x (sqrt (+ z y))) (/ 1 (sqrt (/ 1 (- y z))))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ 1 (sqrt (/ 1 (- y z)))) (sqrt (/ 1 (- y z))))
2.0ms	y	@	-inf	((* (* x (sqrt (+ z y))) (/ 1 (sqrt (/ 1 (- y z))))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ 1 (sqrt (/ 1 (- y z)))) (sqrt (/ 1 (- y z))))
1.0ms	z	@	inf	((* (* x (sqrt (+ z y))) (/ 1 (sqrt (/ 1 (- y z))))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ 1 (sqrt (/ 1 (- y z)))) (sqrt (/ 1 (- y z))))
1.0ms	y	@	0	((* (* x (sqrt (+ z y))) (/ 1 (sqrt (/ 1 (- y z))))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ 1 (sqrt (/ 1 (- y z)))) (sqrt (/ 1 (- y z))))
1.0ms	x	@	-inf	((* (* x (sqrt (+ z y))) (/ 1 (sqrt (/ 1 (- y z))))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ 1 (sqrt (/ 1 (- y z)))) (sqrt (/ 1 (- y z))))

simplify172.0ms (2.7%)

Memory

-5.1MiB live, 218.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	651	3448
1	2235	2958
0	8748	2775

Stop Event

1×	iter limit
1×	node limit

Counts

115 → 113

Calls

Call 1

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

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

rewrite109.0ms (1.7%)

Memory

12.8MiB live, 139.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	42
0	20	40
1	73	33
2	421	32
0	4520	32

Stop Event

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

Counts

6 → 291

Calls

Call 1

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

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

eval81.0ms (1.3%)

Memory: -25.4MiB live, 143.5MiB allocated
Compiler: Compiled 11 057 to 1 774 computations (84% saved)

prune8.0ms (0.1%)

Memory

-8.3MiB live, 30.8MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	399	1	400
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	400	6	406

Accuracy

100.0%

Counts

406 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (*.f64 (neg.f64 x) (sqrt.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 y z))))
✓	99.4%	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
✓	74.1%	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
✓	69.2%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
✓	99.3%	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
✓	98.8%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 78 to 60 computations (23.1% saved)

simplify44.0ms (0.7%)

Memory

7.4MiB live, 53.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (+.f64 y z))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) (sqrt.f64 (+.f64 y z)))
cost-diff	1216	(/.f64 (*.f64 (neg.f64 x) (sqrt.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 y z))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	47
0	20	47
1	33	47
2	64	46
3	169	44
4	382	44
5	971	44
6	1386	44
7	1441	44
8	1502	44
9	1527	44
10	1547	44
11	1549	44
0	1549	44

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize49.0ms (0.8%)

Memory

-0.8MiB live, 37.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(sqrt.f64 (+.f64 y z))
accuracy	0.23046875	(*.f64 (neg.f64 x) (sqrt.f64 (+.f64 y z)))
accuracy	0.23828125	(/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 y z)))
accuracy	0.28744125976844204	(/.f64 (*.f64 (neg.f64 x) (sqrt.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 y z))))

Samples

42.0ms

256×

valid

Compiler

Compiled 96 to 26 computations (72.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-neg: 20.0ms (63.9% of total)

ival-div: 3.0ms (9.6% of total)

ival-sqrt: 3.0ms (9.6% of total)

ival-mult: 2.0ms (6.4% of total)

ival-add: 1.0ms (3.2% of total)

ival-sub: 1.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

5 → 87

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	0	((/ (* (neg x) (sqrt (+ y z))) (/ -1 (sqrt (- y z)))) (* (neg x) (sqrt (+ y z))) (neg x) (sqrt (+ y z)) (/ -1 (sqrt (- y z))))
2.0ms	y	@	-inf	((/ (* (neg x) (sqrt (+ y z))) (/ -1 (sqrt (- y z)))) (* (neg x) (sqrt (+ y z))) (neg x) (sqrt (+ y z)) (/ -1 (sqrt (- y z))))
2.0ms	z	@	-inf	((/ (* (neg x) (sqrt (+ y z))) (/ -1 (sqrt (- y z)))) (* (neg x) (sqrt (+ y z))) (neg x) (sqrt (+ y z)) (/ -1 (sqrt (- y z))))
1.0ms	z	@	inf	((/ (* (neg x) (sqrt (+ y z))) (/ -1 (sqrt (- y z)))) (* (neg x) (sqrt (+ y z))) (neg x) (sqrt (+ y z)) (/ -1 (sqrt (- y z))))
1.0ms	y	@	inf	((/ (* (neg x) (sqrt (+ y z))) (/ -1 (sqrt (- y z)))) (* (neg x) (sqrt (+ y z))) (neg x) (sqrt (+ y z)) (/ -1 (sqrt (- y z))))

simplify204.0ms (3.2%)

Memory

15.2MiB live, 170.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	572	2758
1	1926	2283
2	7561	2251
0	8248	2148

Stop Event

1×	iter limit
1×	node limit

Counts

87 → 87

Calls

Call 1

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

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

rewrite137.0ms (2.2%)

Memory

-23.8MiB live, 172.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	33
0	20	33
1	68	31
2	410	29
3	4236	29
0	8474	29

Stop Event

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

Counts

5 → 241

Calls

Call 1

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

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

eval49.0ms (0.8%)

Memory: 23.4MiB live, 60.7MiB allocated
Compiler: Compiled 8 095 to 1 274 computations (84.3% saved)

prune49.0ms (0.8%)

Memory

-35.5MiB live, 54.1MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	321	0	321
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	321	6	327

Accuracy

100.0%

Counts

327 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.f64 (*.f64 (neg.f64 x) (sqrt.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 y z))))
✓	99.4%	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
✓	74.1%	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
✓	69.2%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
✓	99.3%	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
✓	98.8%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 171 to 102 computations (40.4% saved)

regimes23.0ms (0.4%)

Memory

10.7MiB live, 49.2MiB allocated

Counts

7 → 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 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
(/.f64 (*.f64 (neg.f64 x) (sqrt.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 y z))))
(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)))))

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

Calls

8 calls:

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

regimes46.0ms (0.7%)

Memory

-7.8MiB live, 30.4MiB allocated

Counts

4 → 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))))

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:

32.0ms	x
2.0ms	y
2.0ms	z
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
99.3%	1	`x`
99.3%	1	`y`
99.3%	1	`z`
99.3%	1	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
99.3%	1	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
99.3%	1	`(-.f64 (.f64 y y) (.f64 z z))`
99.3%	1	`(*.f64 y y)`
99.3%	1	`(*.f64 z z)`

Compiler

Compiled 34 to 38 computations (-11.8% saved)

regimes12.0ms (0.2%)

Memory

25.4MiB live, 25.4MiB allocated

Accuracy

Total -16.3b remaining (-2179.5%)

Threshold costs -16.3b (-2179.5%)

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:

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

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`z`
98.8%	1	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
98.8%	1	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
98.8%	1	`(-.f64 (.f64 y y) (.f64 z z))`
98.8%	1	`(*.f64 y y)`
98.8%	1	`(*.f64 z z)`

Compiler

Compiled 34 to 38 computations (-11.8% saved)

simplify26.0ms (0.4%)

Memory

3.4MiB live, 46.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	44
1	30	44
2	35	44
3	37	44
4	38	44

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

soundness288.0ms (4.6%)

Memory

10.2MiB live, 242.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1152
1	648	1151
2	2459	1094
3	7917	1094
0	8151	1022
0	8	28
0	13	28
1	40	28
2	243	28
3	2153	28
0	9394	28

Stop Event

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

Compiler

Compiled 78 to 48 computations (38.5% saved)

preprocess154.0ms (2.4%)

Memory: -17.8MiB live, 174.0MiB allocated
Remove: (negabs x)
Compiler: Compiled 586 to 448 computations (23.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	54
0	20	54
1	31	52
2	50	52
3	75	52
4	92	52
5	115	52
6	149	52
7	179	52
8	237	52
9	279	52
10	311	52
11	313	52
0	313	52

Iter	Nodes	Cost
0	12	54
0	20	54
1	31	52
2	50	52
3	75	52
4	92	52
5	115	52
6	149	52
7	179	52
8	237	52
9	279	52
10	311	52
11	313	52
0	313	52

start0.0ms (0%)

analyze103.0ms (1.6%)

sample1.5s (24%)

explain278.0ms (4.4%)

preprocess555.0ms (8.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify451.0ms (7.1%)

localize24.0ms (0.4%)

series11.0ms (0.2%)

simplify185.0ms (2.9%)

rewrite306.0ms (4.8%)

eval152.0ms (2.4%)

prune6.0ms (0.1%)

simplify216.0ms (3.4%)

localize169.0ms (2.7%)

series143.0ms (2.3%)

simplify301.0ms (4.8%)

rewrite192.0ms (3%)

eval167.0ms (2.6%)

prune20.0ms (0.3%)

simplify11.0ms (0.2%)

localize35.0ms (0.6%)

series13.0ms (0.2%)

simplify172.0ms (2.7%)

rewrite109.0ms (1.7%)

eval81.0ms (1.3%)

prune8.0ms (0.1%)

simplify44.0ms (0.7%)

localize49.0ms (0.8%)

series17.0ms (0.3%)

simplify204.0ms (3.2%)

rewrite137.0ms (2.2%)

eval49.0ms (0.8%)

prune49.0ms (0.8%)

regimes23.0ms (0.4%)

regimes46.0ms (0.7%)

regimes12.0ms (0.2%)

simplify26.0ms (0.4%)

soundness288.0ms (4.6%)

preprocess154.0ms (2.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	54
0	20	54
1	31	52
2	50	52
3	75	52
4	92	52
5	115	52
6	149	52
7	179	52
8	237	52
9	279	52
10	311	52
11	313	52
0	313	52