Metrics for Statistics.Math.RootFinding:ridders from math-functions-0.1.5.2

start0.0ms (0%)

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

analyze391.0ms (4.5%)

Memory

14.7MiB live, 330.6MiB allocated; 132ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
25%	24.9%	74.8%	0.2%	0%	0%	0%	6
25%	24.9%	74.8%	0.2%	0%	0%	0%	7
25%	24.9%	74.8%	0.2%	0%	0%	0%	8
37.5%	37.4%	62.3%	0.2%	0%	0%	0%	9
40.6%	40.5%	59.2%	0.2%	0%	0%	0%	10
51.7%	48.3%	45.2%	0.2%	0%	6.2%	0%	11
51.7%	48.3%	45.2%	0.2%	0%	6.2%	0%	12

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.7s (19.1%)

Memory

58.7MiB live, 2 300.4MiB allocated; 556ms collecting garbage

Samples

958.0ms	8 256×	0	valid
232.0ms	1 993×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 781.0ms

ival-mult: 464.0ms (59.4% of total)

ival-sub: 141.0ms (18% of total)

ival-sqrt: 86.0ms (11% of total)

ival-div: 76.0ms (9.7% of total)

ival-true: 7.0ms (0.9% of total)

ival-assert: 4.0ms (0.5% of total)

adjust: 3.0ms (0.4% of total)

Bogosity

explain203.0ms (2.3%)

Memory

10.5MiB live, 349.5MiB allocated; 54ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
109	0	-	0	-	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`
30	0	-	0	-	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
16	1	(-2.818210375557627e-144 1.6964505728105416e-297 3.012799894191002e+117 2.8885096983034764e+161 -3.5425904159579393e+295)	1	(4.1857386380856624e-94 -2.997742738219557e-221 -3.8304264087540333e+53 -4.825856988028213e-144 6.287547587501427e+215)	`(.f64 (.f64 x y) z)`
1	0	-	0	-	`(-.f64 (.f64 z z) (.f64 t a))`
0	0	-	0	-	`a`
0	0	-	0	-	`t`
0	0	-	0	-	`z`
0	0	-	0	-	`(*.f64 x y)`
0	0	-	0	-	`(*.f64 z z)`
0	0	-	0	-	`y`
0	0	-	0	-	`(*.f64 t a)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`	oflow-rescue	107	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	overflow	107
↳	`(*.f64 t a)`	overflow	28
↳	`(*.f64 z z)`	overflow	87
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	o/n	26	0
↳	`(*.f64 x y)`	overflow	25
↳	`(.f64 (.f64 x y) z)`	overflow	47
`*.f64`	`(.f64 (.f64 x y) z)`	*nu**	12	0
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	u/n	4	0
↳	`(*.f64 x y)`	underflow	27
↳	`(.f64 (.f64 x y) z)`	underflow	31
`*.f64`	`(.f64 (.f64 x y) z)`	*no**	4	0
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`	uflow-rescue	2	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	underflow	2
↳	`(*.f64 t a)`	underflow	37
↳	`(*.f64 z z)`	underflow	44
`-.f64`	`(-.f64 (.f64 z z) (.f64 t a))`	nan-rescue	1	0
↳	`(*.f64 z z)`	overflow	87
↳	`(*.f64 t a)`	overflow	28

Confusion

	Predicted +	Predicted -
+	98	0
-	23	135

Precision

0.8099173553719008

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	98	0	0
-	23	0	135

Precision?

0.8099173553719008

Recall?

1.0

Freqs

test

number	freq
0	135
1	86
2	35

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

75.0ms

512×

valid

Compiler

Compiled 114 to 40 computations (64.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 21.0ms (63.9% of total)

ival-sqrt: 5.0ms (15.2% of total)

ival-div: 4.0ms (12.2% of total)

ival-sub: 3.0ms (9.1% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess81.0ms (0.9%)

Memory

4.1MiB live, 60.3MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	295
1	234	285
2	604	285
3	1323	285
4	2588	285
5	3167	285
6	3322	285
7	3345	285
8	3349	285
9	3349	285
10	3416	285
0	12	14
0	19	14
1	33	14
2	71	14
3	133	14
4	192	14
5	274	14
6	382	14
7	491	14
8	510	14
0	510	14

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Outputs
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
(/.f64 (.f64 z (.f64 y x)) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))

Symmetry

(negabs z)

(negabs y)

(negabs x)

(sort x y)

(sort t a)

Compiler

Compiled 14 to 12 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.6%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify27.0ms (0.3%)

Memory

-33.7MiB live, 13.3MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
0	19	48
1	33	48
2	71	48
3	133	48
4	192	48
5	274	48
6	382	48
7	491	48
8	510	48
0	510	48

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
(.f64 (.f64 x y) z)
(*.f64 x y)
x
y
z
(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
(-.f64 (.f64 z z) (.f64 t a))
(*.f64 z z)
(*.f64 t a)
t
a

Outputs
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
(/.f64 (.f64 z (.f64 y x)) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))
(.f64 (.f64 x y) z)
(.f64 z (.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
z
(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))
(-.f64 (.f64 z z) (.f64 t a))
(fma.f64 (neg.f64 a) t (*.f64 z z))
(*.f64 z z)
(*.f64 t a)
(*.f64 a t)
t
a

localize43.0ms (0.5%)

Memory

8.3MiB live, 53.6MiB allocated; 4ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.19921875000000003	(-.f64 (.f64 z z) (.f64 t a))
accuracy	3.572229222879294	(.f64 (.f64 x y) z)
accuracy	7.211914113127198	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
accuracy	25.52251347343399	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))

Samples

21.0ms

256×

valid

Compiler

Compiled 50 to 14 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (56% of total)

ival-sqrt: 2.0ms (18.7% of total)

ival-sub: 1.0ms (9.3% of total)

ival-div: 1.0ms (9.3% of total)

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

adjust: 0.0ms (0% of total)

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

series52.0ms (0.6%)

Memory

4.7MiB live, 98.0MiB allocated; 19ms collecting garbage

Counts

5 → 65

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
(.f64 (.f64 x y) z)
(*.f64 x y)
(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
(-.f64 (.f64 z z) (.f64 t a))

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

Calls

15 calls:

Time	Variable		Point	Expression
9.0ms	a	@	inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
9.0ms	z	@	0	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
5.0ms	t	@	-inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
3.0ms	z	@	inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))
3.0ms	t	@	inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)))

simplify224.0ms (2.6%)

Memory

28.1MiB live, 246.6MiB allocated; 72ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	495	2455
1	1730	2376
0	8072	2271

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

Calls

Call 1

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

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

rewrite575.0ms (6.6%)

Memory

-114.5MiB live, 180.6MiB allocated; 777ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
0	19	37
1	53	37
2	301	37
3	2861	37
0	9079	32

Stop Event

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

Counts

5 → 313

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
(.f64 (.f64 x y) z)
(*.f64 x y)
(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
(-.f64 (.f64 z z) (.f64 t a))

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

eval48.0ms (0.6%)

Memory: 21.5MiB live, 107.0MiB allocated; 25ms collecting garbage
Compiler: Compiled 14 389 to 1 662 computations (88.4% saved)

prune20.0ms (0.2%)

Memory

-1.9MiB live, 53.9MiB allocated; 20ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	363	13	376
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	364	13	377

Accuracy

93.5%

Counts

377 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.0%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	60.6%	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
▶	38.1%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (fma.f64 (.f64 z z) (/.f64 (.f64 z z) (fma.f64 z z (.f64 a t))) (/.f64 (.f64 (neg.f64 (.f64 t t)) (.f64 a a)) (fma.f64 z z (*.f64 a t))))))
	44.9%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 t t) a)) (sqrt.f64 a) (*.f64 z z))))
▶	34.3%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
	39.9%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
▶	73.1%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)))
	17.0%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	31.4%	(.f64 (/.f64 (.f64 y x) (hypot.f64 (sqrt.f64 (*.f64 a t)) z)) z)
	24.1%	(.f64 (.f64 z y) (/.f64 x (hypot.f64 (sqrt.f64 (*.f64 a t)) z)))
▶	60.8%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 (.f64 (.f64 y x) t) a) z) (.f64 y x)))
	60.0%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (.f64 z z)))) (.f64 (.f64 z y) x)))
▶	12.8%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))

Compiler

Compiled 530 to 394 computations (25.7% saved)

simplify95.0ms (1.1%)

Memory

12.4MiB live, 203.8MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) z)
cost-diff	0	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (fma.f64 (.f64 z z) (/.f64 (.f64 z z) (fma.f64 z z (.f64 a t))) (/.f64 (.f64 (neg.f64 (.f64 t t)) (.f64 a a)) (fma.f64 z z (*.f64 a t))))))
cost-diff	11	(fma.f64 (.f64 z z) (/.f64 (.f64 z z) (fma.f64 z z (.f64 a t))) (/.f64 (.f64 (neg.f64 (.f64 t t)) (.f64 a a)) (fma.f64 z z (*.f64 a t))))
cost-diff	0	(/.f64 (.f64 (.f64 (*.f64 y x) t) a) z)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) z)
cost-diff	0	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 (.f64 (.f64 y x) t) a) z) (.f64 y x)))
cost-diff	2	(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 (.f64 (.f64 y x) t) a) z) (.f64 y x))
cost-diff	0	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) z)
cost-diff	0	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	0	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))
cost-diff	0	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) z)
cost-diff	0	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	401
0	81	401
1	157	383
2	472	374
3	1756	366
4	5239	366
5	7947	366
0	8055	364

Stop Event

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

Calls

Call 1

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

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

localize282.0ms (3.2%)

Memory

-19.5MiB live, 212.9MiB allocated; 28ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	16.52896570168484	(.f64 (neg.f64 (.f64 t t)) (*.f64 a a))
accuracy	17.09827090843861	(/.f64 (.f64 (neg.f64 (.f64 t t)) (.f64 a a)) (fma.f64 z z (.f64 a t)))
accuracy	24.694075650390356	(/.f64 (.f64 z z) (fma.f64 z z (.f64 a t)))
accuracy	25.52251347343399	(sqrt.f64 (fma.f64 (.f64 z z) (/.f64 (.f64 z z) (fma.f64 z z (.f64 a t))) (/.f64 (.f64 (neg.f64 (.f64 t t)) (.f64 a a)) (fma.f64 z z (*.f64 a t)))))
accuracy	4.446528682254951	(.f64 (.f64 y x) t)
accuracy	4.957102150427925	(/.f64 (.f64 (.f64 (*.f64 y x) t) a) z)
accuracy	5.404315567314212	(.f64 (.f64 (*.f64 y x) t) a)
accuracy	20.15266482903497	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 (.f64 (.f64 y x) t) a) z) (.f64 y x)))
accuracy	3.572229222879294	(.f64 (.f64 x y) z)
accuracy	7.211914113127198	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
accuracy	25.52251347343399	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
accuracy	40.70573360900865	#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
accuracy	0.0	(*.f64 (neg.f64 y) x)
accuracy	0.0	(neg.f64 y)
accuracy	55.77904168330307	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))
accuracy	1.8647551844191328	(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)
accuracy	3.572229222879294	(.f64 (.f64 x y) z)
accuracy	7.211914113127198	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)))
accuracy	19.361346378273613	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))

Samples

237.0ms

256×

valid

Compiler

Compiled 362 to 43 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 212.0ms

ival-neg: 154.0ms (72.5% of total)

ival-mult: 25.0ms (11.8% of total)

ival-div: 24.0ms (11.3% of total)

ival-add: 4.0ms (1.9% of total)

ival-sqrt: 3.0ms (1.4% of total)

ival-sub: 1.0ms (0.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series208.0ms (2.4%)

Memory

2.8MiB live, 299.9MiB allocated; 44ms collecting garbage

Counts

23 → 157

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
34.0ms	t	@	inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (/ 1/2 z) (/ (* (* (* y x) t) a) z)) (* y x)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/ 1/2 z) (/ (* (* (* y x) t) a) z) (+ (* (* z z) (/ (* z z) (+ (* z z) (* a t)))) (/ (* (neg (* t t)) (* a a)) (+ (* z z) (* a t)))) (/ (* (* x y) z) (sqrt (+ (* (* z z) (/ (* z z) (+ (* z z) (* a t)))) (/ (* (neg (* t t)) (* a a)) (+ (* z z) (* a t)))))) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (* (* (* y x) t) a) (* (* y x) t) (sqrt (+ (* (* z z) (/ (* z z) (+ (* z z) (* a t)))) (/ (* (neg (* t t)) (* a a)) (+ (* z z) (* a t))))) (/ (* z z) (+ (* z z) (* a t))) (/ (* (neg (* t t)) (* a a)) (+ (* z z) (* a t))) (* (neg (* t t)) (* a a)))
32.0ms	t	@	0	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (/ 1/2 z) (/ (* (* (* y x) t) a) z)) (* y x)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/ 1/2 z) (/ (* (* (* y x) t) a) z) (+ (* (* z z) (/ (* z z) (+ (* z z) (* a t)))) (/ (* (neg (* t t)) (* a a)) (+ (* z z) (* a t)))) (/ (* (* x y) z) (sqrt (+ (* (* z z) (/ (* z z) (+ (* z z) (* a t)))) (/ (* (neg (* t t)) (* a a)) (+ (* z z) (* a t)))))) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (* (* (* y x) t) a) (* (* y x) t) (sqrt (+ (* (* z z) (/ (* z z) (+ (* z z) (* a t)))) (/ (* (neg (* t t)) (* a a)) (+ (* z z) (* a t))))) (/ (* z z) (+ (* z z) (* a t))) (/ (* (neg (* t t)) (* a a)) (+ (* z z) (* a t))) (* (neg (* t t)) (* a a)))
30.0ms	y	@	0	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (/ 1/2 z) (/ (* (* (* y x) t) a) z)) (* y x)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/ 1/2 z) (/ (* (* (* y x) t) a) z) (+ (* (* z z) (/ (* z z) (+ (* z z) (* a t)))) (/ (* (neg (* t t)) (* a a)) (+ (* z z) (* a t)))) (/ (* (* x y) z) (sqrt (+ (* (* z z) (/ (* z z) (+ (* z z) (* a t)))) (/ (* (neg (* t t)) (* a a)) (+ (* z z) (* a t)))))) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (* (* (* y x) t) a) (* (* y x) t) (sqrt (+ (* (* z z) (/ (* z z) (+ (* z z) (* a t)))) (/ (* (neg (* t t)) (* a a)) (+ (* z z) (* a t))))) (/ (* z z) (+ (* z z) (* a t))) (/ (* (neg (* t t)) (* a a)) (+ (* z z) (* a t))) (* (neg (* t t)) (* a a)))
22.0ms	a	@	-inf	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (/ 1/2 z) (/ (* (* (* y x) t) a) z)) (* y x)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/ 1/2 z) (/ (* (* (* y x) t) a) z) (+ (* (* z z) (/ (* z z) (+ (* z z) (* a t)))) (/ (* (neg (* t t)) (* a a)) (+ (* z z) (* a t)))) (/ (* (* x y) z) (sqrt (+ (* (* z z) (/ (* z z) (+ (* z z) (* a t)))) (/ (* (neg (* t t)) (* a a)) (+ (* z z) (* a t)))))) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (* (* (* y x) t) a) (* (* y x) t) (sqrt (+ (* (* z z) (/ (* z z) (+ (* z z) (* a t)))) (/ (* (neg (* t t)) (* a a)) (+ (* z z) (* a t))))) (/ (* z z) (+ (* z z) (* a t))) (/ (* (neg (* t t)) (* a a)) (+ (* z z) (* a t))) (* (neg (* t t)) (* a a)))
18.0ms	a	@	0	((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (/ 1/2 z) (/ (* (* (* y x) t) a) z)) (* y x)) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/ 1/2 z) (/ (* (* (* y x) t) a) z) (+ (* (* z z) (/ (* z z) (+ (* z z) (* a t)))) (/ (* (neg (* t t)) (* a a)) (+ (* z z) (* a t)))) (/ (* (* x y) z) (sqrt (+ (* (* z z) (/ (* z z) (+ (* z z) (* a t)))) (/ (* (neg (* t t)) (* a a)) (+ (* z z) (* a t)))))) (+ (* (* -1/2 a) (/ t z)) z) (- (* z z) (* t a)) (* (* (* y x) t) a) (* (* y x) t) (sqrt (+ (* (* z z) (/ (* z z) (+ (* z z) (* a t)))) (/ (* (neg (* t t)) (* a a)) (+ (* z z) (* a t))))) (/ (* z z) (+ (* z z) (* a t))) (/ (* (neg (* t t)) (* a a)) (+ (* z z) (* a t))) (* (neg (* t t)) (* a a)))

simplify286.0ms (3.3%)

Memory

-1.1MiB live, 279.6MiB allocated; 48ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1024	5392
1	3685	5277
0	8087	5089

Stop Event

1×	iter limit
1×	node limit

Counts

157 → 156

Calls

Call 1

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

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

rewrite270.0ms (3.1%)

Memory

24.6MiB live, 298.4MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	324
0	81	324
1	247	284
2	1523	284
0	8366	284

Stop Event

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

Counts

23 → 479

Calls

Call 1

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

Outputs
(.f64 (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (.f64 #s(literal -1/2 binary64) a) z))) (.f64 y x))
(.f64 (.f64 y x) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))
(.f64 z (/.f64 (.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))
(.f64 y (.f64 x (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))))
(.f64 x (/.f64 (.f64 z y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))
(.f64 x (.f64 y (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) x) z))) (neg.f64 (neg.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) x) z)) (neg.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))))
(/.f64 (.f64 (.f64 (neg.f64 y) x) z) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))
(/.f64 (.f64 (.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))
(neg.f64 (/.f64 (.f64 (.f64 (neg.f64 y) x) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))
(neg.f64 (/.f64 (.f64 (.f64 z x) y) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))))
(.f64 (.f64 z x) y)
(.f64 (.f64 z y) x)
(.f64 (.f64 y x) z)
(.f64 z (.f64 y x))
(.f64 y (.f64 x z))
(.f64 x (.f64 z y))
(*.f64 y x)
(*.f64 x y)
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 x) y)
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
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eval144.0ms (1.7%)

Memory: -11.1MiB live, 242.9MiB allocated; 56ms collecting garbage
Compiler: Compiled 33 741 to 3 166 computations (90.6% saved)

prune28.0ms (0.3%)

Memory

-7.3MiB live, 84.8MiB allocated; 7ms collecting garbage

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	645	10	655
Fresh	5	3	8
Picked	3	2	5
Done	0	0	0
Total	653	15	668

Accuracy

96.1%

Counts

668 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.5%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
▶	60.6%	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	30.9%	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
	40.7%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (fma.f64 (.f64 z z) #s(approx (/ ( z z) (+ (* z z) (* a t))) #s(literal 1 binary64)) (/.f64 (.f64 (neg.f64 (.f64 t t)) (.f64 a a)) (fma.f64 z z (.f64 a t))))))
✓	34.3%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
	39.9%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
▶	17.0%	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
	34.5%	(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
▶	28.8%	(.f64 y (.f64 x (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))))
▶	83.3%	(.f64 y (.f64 x (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))))
	64.3%	(.f64 x (/.f64 (.f64 z y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))
	31.7%	(.f64 x (.f64 y (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))))
	60.0%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 z y) x)))
✓	12.8%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))
	13.9%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) #s(approx (+ (* (/ 1/2 z) (/ (* (* (* y x) t) a) z)) (* y x)) (.f64 (.f64 (/.f64 a z) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 y x) t) z))))

Compiler

Compiled 650 to 478 computations (26.5% saved)

simplify36.0ms (0.4%)

Memory

35.3MiB live, 78.5MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	339
0	67	339
1	114	339
2	213	339
3	372	339
4	604	339
5	1000	339
6	1331	339
7	1662	339
8	1680	339
0	1680	339

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize178.0ms (2%)

Memory

-20.4MiB live, 264.9MiB allocated; 34ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.19921875000000003	(-.f64 (.f64 z z) (.f64 t a))
accuracy	3.0022998031091253	(.f64 (.f64 z x) y)
accuracy	7.211914113127198	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
accuracy	25.52251347343399	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
accuracy	7.1694979011080635	(.f64 (.f64 z y) x)
accuracy	7.211914113127198	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
accuracy	25.52251347343399	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
accuracy	40.70573360900865	#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
accuracy	0.18048398387106077	(.f64 x (/.f64 z (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t)))))
accuracy	3.14563548568721	(.f64 y (.f64 x (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))))
accuracy	25.52251347343399	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
accuracy	40.70573360900865	#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
accuracy	0.0	(neg.f64 z)
accuracy	3.572229222879294	(.f64 (.f64 x y) z)
accuracy	7.211914113127198	(/.f64 (.f64 (.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
accuracy	63.2365403210218	#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
accuracy	0.18048398387106077	(.f64 x (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))
accuracy	1.8647551844191328	(fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)
accuracy	3.14563548568721	(.f64 y (.f64 x (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z)))))
accuracy	19.361346378273613	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))

Samples

129.0ms

256×

valid

Compiler

Compiled 260 to 31 computations (88.1% saved)

Precisions

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

ival-mult: 20.0ms (59.6% of total)

ival-div: 7.0ms (20.9% of total)

ival-sqrt: 2.0ms (6% of total)

ival-neg: 2.0ms (6% of total)

ival-add: 1.0ms (3% of total)

ival-sub: 1.0ms (3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series115.0ms (1.3%)

Memory

-28.4MiB live, 129.6MiB allocated; 21ms collecting garbage

Counts

23 → 123

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
27.0ms	z	@	-inf	((* y (* x (/ z (sqrt (- (* z z) (* t a)))))) (* x (/ z (sqrt (- (* z z) (* t a))))) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* y (* x (/ z (sqrt (- (* z z) (* t a)))))) (* x (/ z (sqrt (- (* z z) (* t a))))) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (sqrt (- (* z z) (* t a))) (+ (* (/ t z) (* -1/2 a)) z) (neg z) (- (* z z) (* t a)) (- (* z z) (* t a)))
16.0ms	t	@	inf	((* y (* x (/ z (sqrt (- (* z z) (* t a)))))) (* x (/ z (sqrt (- (* z z) (* t a))))) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* y (* x (/ z (sqrt (- (* z z) (* t a)))))) (* x (/ z (sqrt (- (* z z) (* t a))))) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (sqrt (- (* z z) (* t a))) (+ (* (/ t z) (* -1/2 a)) z) (neg z) (- (* z z) (* t a)) (- (* z z) (* t a)))
5.0ms	x	@	-inf	((* y (* x (/ z (sqrt (- (* z z) (* t a)))))) (* x (/ z (sqrt (- (* z z) (* t a))))) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* y (* x (/ z (sqrt (- (* z z) (* t a)))))) (* x (/ z (sqrt (- (* z z) (* t a))))) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (sqrt (- (* z z) (* t a))) (+ (* (/ t z) (* -1/2 a)) z) (neg z) (- (* z z) (* t a)) (- (* z z) (* t a)))
3.0ms	z	@	0	((* y (* x (/ z (sqrt (- (* z z) (* t a)))))) (* x (/ z (sqrt (- (* z z) (* t a))))) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* y (* x (/ z (sqrt (- (* z z) (* t a)))))) (* x (/ z (sqrt (- (* z z) (* t a))))) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (sqrt (- (* z z) (* t a))) (+ (* (/ t z) (* -1/2 a)) z) (neg z) (- (* z z) (* t a)) (- (* z z) (* t a)))
3.0ms	z	@	inf	((* y (* x (/ z (sqrt (- (* z z) (* t a)))))) (* x (/ z (sqrt (- (* z z) (* t a))))) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* y (* x (/ z (sqrt (- (* z z) (* t a)))))) (* x (/ z (sqrt (- (* z z) (* t a))))) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (sqrt (- (* z z) (* t a))) (+ (* (/ t z) (* -1/2 a)) z) (neg z) (- (* z z) (* t a)) (- (* z z) (* t a)))

simplify180.0ms (2.1%)

Memory

37.4MiB live, 265.9MiB allocated; 35ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	787	4843
1	2834	4665
0	8394	4459

Stop Event

1×	iter limit
1×	node limit

Counts

123 → 121

Calls

Call 1

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

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

rewrite213.0ms (2.4%)

Memory

31.2MiB live, 300.9MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	266
0	67	266
1	158	266
2	667	266
3	6171	266
0	8335	251

Stop Event

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

Counts

23 → 454

Calls

Call 1

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

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

eval100.0ms (1.1%)

Memory: -37.8MiB live, 117.9MiB allocated; 18ms collecting garbage
Compiler: Compiled 18 390 to 2 373 computations (87.1% saved)

prune44.0ms (0.5%)

Memory

-1.9MiB live, 44.7MiB allocated; 4ms collecting garbage

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	516	8	524
Fresh	2	6	8
Picked	3	2	5
Done	0	2	2
Total	521	18	539

Accuracy

96.1%

Counts

539 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	33.5%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
	36.5%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
✓	60.6%	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	30.9%	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
	40.7%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (fma.f64 (.f64 z z) #s(approx (/ ( z z) (+ (* z z) (* a t))) #s(literal 1 binary64)) (/.f64 (.f64 (neg.f64 (.f64 t t)) (.f64 a a)) (fma.f64 z z (.f64 a t))))))
✓	34.3%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
▶	39.9%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	64.3%	(.f64 (/.f64 (.f64 z y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))) x)
	18.9%	(.f64 (/.f64 (.f64 z x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) y)
	13.0%	(.f64 (/.f64 (.f64 x y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) z)
▶	16.8%	(.f64 (/.f64 y #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z))) (*.f64 z x))
▶	34.5%	(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
▶	63.0%	(.f64 y (.f64 (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))) z))
	21.7%	(.f64 y (.f64 x (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (/ t z) (* -1/2 a)) z) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))))))
▶	74.1%	(.f64 y (.f64 x #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64))))
	31.7%	(.f64 x (.f64 y (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))))
	60.0%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 z y) x)))
✓	12.8%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))

Compiler

Compiled 687 to 521 computations (24.2% saved)

simplify108.0ms (1.2%)

Memory

-12.0MiB live, 96.8MiB allocated; 70ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	324
0	64	324
1	112	324
2	205	324
3	351	324
4	586	324
5	983	324
6	1381	324
7	1728	324
8	1788	324
9	1824	324
10	1837	324
11	1850	324
0	1850	324

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize109.0ms (1.3%)

Memory

14.7MiB live, 102.5MiB allocated; 14ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.8647551844191328	(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z)
accuracy	3.14563548568721	(.f64 y (.f64 (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))) z))
accuracy	16.476444873011836	(.f64 (/.f64 x #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))) z)
accuracy	19.361346378273613	#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))
accuracy	3.963960874888138	(/.f64 (.f64 y x) (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 (neg.f64 a) t))))
accuracy	8.3445740676367	(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
accuracy	25.52251347343399	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))
accuracy	40.70573360900865	#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))
accuracy	3.572229222879294	(.f64 (.f64 x y) z)
accuracy	7.211914113127198	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
accuracy	19.355642384665252	#s(approx (- (* z z) (* t a)) (*.f64 z z))
accuracy	25.52251347343399	(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))
accuracy	0.0	(neg.f64 z)
accuracy	0.09375	(/.f64 y #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))
accuracy	5.770701719399835	(.f64 (/.f64 y #s(approx (sqrt (- ( z z) (* t a))) (neg.f64 z))) (*.f64 z x))
accuracy	63.2365403210218	#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))
accuracy	0.18048398387106077	(.f64 x #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)))
accuracy	3.14563548568721	(.f64 y (.f64 x #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64))))
accuracy	19.67058324913617	#s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64))

Samples

66.0ms

256×

valid

Compiler

Compiled 244 to 35 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 21.0ms (58.2% of total)

ival-div: 9.0ms (24.9% of total)

ival-sqrt: 2.0ms (5.5% of total)

ival-neg: 2.0ms (5.5% of total)

ival-add: 1.0ms (2.8% of total)

ival-sub: 1.0ms (2.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series86.0ms (1%)

Memory

21.6MiB live, 169.4MiB allocated; 22ms collecting garbage

Counts

22 → 196

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
30.0ms	y	@	inf	((* y (* x (/ z (sqrt (- (* z z) (* t a)))))) (* x (/ z (sqrt (- (* z z) (* t a))))) (/ z (sqrt (- (* z z) (* t a)))) (* (/ y (sqrt (- (* z z) (* t a)))) (* z x)) (/ y (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (neg z) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* z (/ (* y x) (sqrt (- (* z z) (* t a))))) (/ (* y x) (sqrt (- (* z z) (* t a)))) (* y x) (sqrt (- (* z z) (* t a))) (* y (* (/ x (sqrt (- (* z z) (* t a)))) z)) (* (/ x (sqrt (- (* z z) (* t a)))) z) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)) (- (* z z) (* t a)) (+ (* (* -1/2 a) (/ t z)) z))
8.0ms	t	@	inf	((* y (* x (/ z (sqrt (- (* z z) (* t a)))))) (* x (/ z (sqrt (- (* z z) (* t a))))) (/ z (sqrt (- (* z z) (* t a)))) (* (/ y (sqrt (- (* z z) (* t a)))) (* z x)) (/ y (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (neg z) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* z (/ (* y x) (sqrt (- (* z z) (* t a))))) (/ (* y x) (sqrt (- (* z z) (* t a)))) (* y x) (sqrt (- (* z z) (* t a))) (* y (* (/ x (sqrt (- (* z z) (* t a)))) z)) (* (/ x (sqrt (- (* z z) (* t a)))) z) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)) (- (* z z) (* t a)) (+ (* (* -1/2 a) (/ t z)) z))
6.0ms	t	@	-inf	((* y (* x (/ z (sqrt (- (* z z) (* t a)))))) (* x (/ z (sqrt (- (* z z) (* t a))))) (/ z (sqrt (- (* z z) (* t a)))) (* (/ y (sqrt (- (* z z) (* t a)))) (* z x)) (/ y (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (neg z) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* z (/ (* y x) (sqrt (- (* z z) (* t a))))) (/ (* y x) (sqrt (- (* z z) (* t a)))) (* y x) (sqrt (- (* z z) (* t a))) (* y (* (/ x (sqrt (- (* z z) (* t a)))) z)) (* (/ x (sqrt (- (* z z) (* t a)))) z) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)) (- (* z z) (* t a)) (+ (* (* -1/2 a) (/ t z)) z))
5.0ms	z	@	-inf	((* y (* x (/ z (sqrt (- (* z z) (* t a)))))) (* x (/ z (sqrt (- (* z z) (* t a))))) (/ z (sqrt (- (* z z) (* t a)))) (* (/ y (sqrt (- (* z z) (* t a)))) (* z x)) (/ y (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (neg z) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* z (/ (* y x) (sqrt (- (* z z) (* t a))))) (/ (* y x) (sqrt (- (* z z) (* t a)))) (* y x) (sqrt (- (* z z) (* t a))) (* y (* (/ x (sqrt (- (* z z) (* t a)))) z)) (* (/ x (sqrt (- (* z z) (* t a)))) z) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)) (- (* z z) (* t a)) (+ (* (* -1/2 a) (/ t z)) z))
4.0ms	a	@	inf	((* y (* x (/ z (sqrt (- (* z z) (* t a)))))) (* x (/ z (sqrt (- (* z z) (* t a))))) (/ z (sqrt (- (* z z) (* t a)))) (* (/ y (sqrt (- (* z z) (* t a)))) (* z x)) (/ y (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (neg z) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* z (/ (* y x) (sqrt (- (* z z) (* t a))))) (/ (* y x) (sqrt (- (* z z) (* t a)))) (* y x) (sqrt (- (* z z) (* t a))) (* y (* (/ x (sqrt (- (* z z) (* t a)))) z)) (* (/ x (sqrt (- (* z z) (* t a)))) z) (/ x (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a)) (- (* z z) (* t a)) (+ (* (* -1/2 a) (/ t z)) z))

simplify273.0ms (3.1%)

Memory

-17.4MiB live, 469.9MiB allocated; 60ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1110	8519
1	4024	8322
0	8774	7970

Stop Event

1×	iter limit
1×	node limit

Counts

196 → 194

Calls

Call 1

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

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

rewrite246.0ms (2.8%)

Memory

-14.8MiB live, 304.0MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	286
0	64	286
1	158	286
2	672	286
3	6043	286
0	8624	269

Stop Event

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

Counts

22 → 264

Calls

Call 1

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

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

eval78.0ms (0.9%)

Memory: 31.6MiB live, 129.5MiB allocated; 23ms collecting garbage
Compiler: Compiled 19 320 to 2 247 computations (88.4% saved)

prune40.0ms (0.5%)

Memory

-7.5MiB live, 83.3MiB allocated; 8ms collecting garbage

Pruning

28 alts after pruning (20 fresh and 8 done)

	Pruned	Kept	Total
New	437	12	449
Fresh	1	8	9
Picked	1	4	5
Done	0	4	4
Total	439	28	467

Accuracy

96.1%

Counts

467 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	33.5%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
	36.5%	(/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
✓	60.6%	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	30.9%	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
	40.4%	(/.f64 (.f64 (.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	39.8%	(/.f64 (.f64 (.f64 x y) z) (pow.f64 (pow.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	28.6%	(/.f64 (.f64 (.f64 x y) z) (+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 z z))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- ( z z) (* t a)) (*.f64 z z)))))))
✓	34.3%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))
✓	39.9%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))
	38.1%	(/.f64 (.f64 (.f64 x y) z) (exp.f64 (.f64 (.f64 (log.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
	35.5%	(.f64 (/.f64 (.f64 z y) (pow.f64 #s(approx (- (* z z) (* t a)) (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 x (pow.f64 #s(approx (- ( z z) (* t a)) (*.f64 z z)) #s(literal 1/4 binary64))))
	64.3%	(.f64 (/.f64 (.f64 z y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))) x)
	40.5%	(.f64 (/.f64 (.f64 z x) (pow.f64 #s(approx (- (* z z) (* t a)) (.f64 z z)) #s(literal 1/4 binary64))) (/.f64 y (pow.f64 #s(approx (- ( z z) (* t a)) (*.f64 z z)) #s(literal 1/4 binary64))))
	18.9%	(.f64 (/.f64 (.f64 z x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) y)
	13.0%	(.f64 (/.f64 (.f64 x y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) z)
	33.7%	(.f64 (.f64 z y) (/.f64 x (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))))
	73.2%	(.f64 #s(approx (/ y (sqrt (- ( z z) (* t a)))) (/.f64 y z)) (*.f64 z x))
✓	34.5%	(.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))))
	59.7%	(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (.f64 (.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))))))
	61.6%	(.f64 z #s(approx (/ ( y x) (sqrt (- (* z z) (* t a)))) (*.f64 x (/.f64 y z))))
	35.3%	(.f64 y (.f64 (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) a)) (/.f64 (.f64 #s(literal -1/2 binary64) a) (-.f64 (.f64 (.f64 (/.f64 t z) #s(literal -1/2 binary64)) a) z)) (/.f64 (.f64 (neg.f64 z) z) (-.f64 (.f64 (.f64 (/.f64 t z) #s(literal -1/2 binary64)) a) z))))) z))
✓	63.0%	(.f64 y (.f64 (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))) z))
	53.9%	(.f64 y (.f64 #s(approx (/ x (sqrt (- (* z z) (* t a)))) (/.f64 x z)) z))
	21.7%	(.f64 y (.f64 x (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (/ t z) (* -1/2 a)) z) (.f64 (.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))))))
✓	74.1%	(.f64 y (.f64 x #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64))))
	31.7%	(.f64 x (.f64 y (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))))
	60.0%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (.f64 z z)))) (.f64 (.f64 z y) x)))
✓	12.8%	#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))

Compiler

Compiled 1 658 to 662 computations (60.1% saved)

regimes144.0ms (1.7%)

Memory

-20.3MiB live, 129.0MiB allocated; 27ms collecting garbage

Counts

44 → 2

Calls

Call 1

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

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

Calls

8 calls:

33.0ms	(*.f64 t a)
28.0ms	x
27.0ms	t
11.0ms	a
11.0ms	z

Results

Accuracy	Segments	Branch
83.3%	1	`(*.f64 t a)`
83.3%	1	`(*.f64 x y)`
94.8%	3	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
83.3%	1	`x`
83.3%	1	`y`
94.2%	2	`z`
83.3%	1	`t`
83.3%	1	`a`

Compiler

Compiled 25 to 49 computations (-96% saved)

regimes9.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

Counts

28 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
93.9%	2	`z`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes21.0ms (0.2%)

Memory

-16.2MiB live, 30.5MiB allocated; 3ms collecting garbage

Counts

26 → 2

Calls

Call 1

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

Outputs

(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))

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

Calls

2 calls:

13.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
7.0ms	z

Results

Accuracy	Segments	Branch
83.3%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
90.6%	2	`z`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes7.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Counts

22 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
88.6%	2	`z`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes6.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Counts

18 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
87.8%	2	`z`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes6.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
87.8%	2	`z`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes38.0ms (0.4%)

Memory

-46.0MiB live, 20.0MiB allocated; 7ms collecting garbage

Counts

15 → 2

Calls

Call 1

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

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

Calls

1 calls:

38.0ms

Results

Accuracy	Segments	Branch
87.4%	2	`z`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes56.0ms (0.6%)

Memory

23.0MiB live, 67.9MiB allocated; 4ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

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

Calls

8 calls:

28.0ms	y
4.0ms	t
4.0ms	a
4.0ms	z
4.0ms	x

Results

Accuracy	Segments	Branch
76.1%	2	`(*.f64 x y)`
76.9%	2	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
74.1%	1	`x`
75.9%	2	`a`
75.9%	2	`y`
74.1%	1	`t`
76.6%	2	`(*.f64 t a)`
78.9%	2	`z`

Compiler

Compiled 25 to 49 computations (-96% saved)

regimes3.0ms (0%)

Memory

8.5MiB live, 8.4MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
77.3%	2	`z`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes28.0ms (0.3%)

Memory

-8.8MiB live, 38.1MiB allocated; 1ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

19.0ms	z
2.0ms	y
2.0ms	a
2.0ms	(*.f64 t a)
2.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
74.1%	1	`y`
74.1%	1	`a`
74.1%	1	`(*.f64 x y)`
74.1%	1	`(*.f64 t a)`
74.1%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
74.1%	1	`z`

Compiler

Compiled 23 to 39 computations (-69.6% saved)

regimes31.0ms (0.4%)

Memory

-19.6MiB live, 26.7MiB allocated; 3ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))

Outputs
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))

Calls

8 calls:

23.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
1.0ms	x
1.0ms	a
1.0ms	t
1.0ms	z

Results

Accuracy	Segments	Branch
12.8%	1	`t`
12.8%	1	`(*.f64 t a)`
12.8%	1	`(*.f64 x y)`
12.8%	1	`y`
12.8%	1	`a`
12.8%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
12.8%	1	`x`
12.8%	1	`z`

Compiler

Compiled 25 to 49 computations (-96% saved)

bsearch18.0ms (0.2%)

Memory

25.4MiB live, 25.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.648101793668593e+58	1.934951239692412e+65

Samples

10.0ms	144×	0	valid
0.0ms	3×	0	invalid

Compiler

Compiled 350 to 299 computations (14.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (50.4% of total)

ival-sub: 1.0ms (16.8% of total)

ival-div: 1.0ms (16.8% of total)

ival-sqrt: 1.0ms (16.8% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch42.0ms (0.5%)

Memory

-41.7MiB live, 10.7MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	2.648101793668593e+58	1.934951239692412e+65

Samples

37.0ms	64×	0	valid
0.0ms	4×	0	invalid

Compiler

Compiled 350 to 299 computations (14.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 34.0ms (96.6% of total)

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

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

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

adjust: 0.0ms (0% of total)

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

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

bsearch16.0ms (0.2%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	9.441916756143987e-87	2.311773867585463e-85

Samples

8.0ms	112×	0	valid
1.0ms	19×	0	invalid

Compiler

Compiled 311 to 258 computations (17% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (58% of total)

ival-sub: 1.0ms (19.3% of total)

ival-div: 1.0ms (19.3% of total)

ival-sqrt: 1.0ms (19.3% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.441916756143987e-87	2.311773867585463e-85

Compiler

Compiled 262 to 237 computations (9.5% saved)

bsearch10.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	9.441916756143987e-87	2.311773867585463e-85

Samples

4.0ms	64×	0	valid
1.0ms	19×	0	invalid

Compiler

Compiled 262 to 237 computations (9.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (60.8% of total)

ival-sqrt: 1.0ms (30.4% of total)

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

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

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

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.441916756143987e-87	2.311773867585463e-85

Compiler

Compiled 262 to 237 computations (9.5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.441916756143987e-87	2.311773867585463e-85

Compiler

Compiled 262 to 237 computations (9.5% saved)

bsearch42.0ms (0.5%)

Memory

-30.8MiB live, 15.9MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	1.3433267831296615e-191	1.0605363088025808e-183

Samples

30.0ms	144×	0	valid
3.0ms	49×	0	invalid

Compiler

Compiled 314 to 290 computations (7.6% saved)

Precisions

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

ival-mult: 4.0ms (52.6% of total)

ival-sub: 1.0ms (13.2% of total)

ival-div: 1.0ms (13.2% of total)

ival-sqrt: 1.0ms (13.2% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch21.0ms (0.2%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.6423811149722312e-195	1.3433267831296615e-191

Samples

9.0ms	128×	0	valid
3.0ms	48×	0	invalid

Compiler

Compiled 289 to 260 computations (10% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (58.1% of total)

ival-sub: 1.0ms (14.5% of total)

ival-div: 1.0ms (14.5% of total)

ival-sqrt: 1.0ms (14.5% of total)

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

adjust: 0.0ms (0% of total)

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

simplify23.0ms (0.3%)

Memory

23.2MiB live, 23.2MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	394
1	112	394
2	169	394
3	237	394
4	297	394
5	375	394
6	478	394
7	587	394
8	605	394

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 1999999999999999898774270594148037733927290022026820146167808 binary64)) (/.f64 (.f64 (.f64 z y) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 y (.f64 x (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))))
(if (<=.f64 z #s(literal 3399999999999999970641029280647652253504989982395107886759936 binary64)) (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 y (.f64 x (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))))
(if (<=.f64 z #s(literal 7139186365691751/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) (.f64 y (.f64 x (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))))
(if (<=.f64 z #s(literal 7139186365691751/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) (.f64 y (.f64 x #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal 8958978968711217/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) (.f64 y (.f64 x #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal 8958978968711217/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) (.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t))))) (.f64 y (.f64 x #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal 7139186365691751/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (.f64 x (.f64 y (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))))) (.f64 y (.f64 x #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal 3932901903928685/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408 binary64)) (.f64 (/.f64 (.f64 z x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) y) (.f64 y (.f64 x #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal 5650536612991417/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448 binary64)) (.f64 #s(approx (/ y (sqrt (- ( z z) (* t a)))) (/.f64 y z)) (.f64 z x)) (.f64 y (.f64 x #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)))))
(.f64 y (.f64 x #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64))))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))

Outputs
(if (<=.f64 z #s(literal 1999999999999999898774270594148037733927290022026820146167808 binary64)) (/.f64 (.f64 (.f64 z y) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 y (.f64 x (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))))
(if (<=.f64 z #s(literal 3399999999999999970641029280647652253504989982395107886759936 binary64)) (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 y (.f64 x (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))))
(if (<=.f64 z #s(literal 7139186365691751/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) (.f64 y (.f64 x (/.f64 z #s(approx (sqrt (- ( z z) (* t a))) (fma.f64 (/.f64 t z) (*.f64 #s(literal -1/2 binary64) a) z))))))
(if (<=.f64 z #s(literal 7139186365691751/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (/.f64 (.f64 (.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) (.f64 y (.f64 x #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal 8958978968711217/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) (/.f64 (.f64 (.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))) (.f64 y (.f64 x #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal 8958978968711217/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) (.f64 z (/.f64 (.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t))))) (.f64 y (.f64 x #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal 7139186365691751/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (.f64 x (.f64 y (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (.f64 (neg.f64 a) t)))))) (.f64 y (.f64 x #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal 3932901903928685/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408 binary64)) (.f64 (/.f64 (.f64 z x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) y) (.f64 y (.f64 x #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal 5650536612991417/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448 binary64)) (.f64 #s(approx (/ y (sqrt (- ( z z) (* t a)))) (/.f64 y z)) (.f64 z x)) (.f64 y (.f64 x #s(approx (/ z (sqrt (- ( z z) (* t a)))) #s(literal 1 binary64)))))
(.f64 y (.f64 x #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64))))
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x))

derivations1.2s (13.3%)

Memory

26.7MiB live, 1 132.1MiB allocated; 189ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	787	4843
1	2834	4665
0	8394	4459
0	495	2455
1	1730	2376
0	8072	2271
0	1110	8519
1	4024	8322
0	8774	7970
0	39	266
0	67	266
1	158	266
2	667	266
3	6171	266
0	8335	251
0	12	37
0	19	37
1	53	37
2	301	37
3	2861	37
0	9079	32
0	48	324
0	81	324
1	247	284
2	1523	284
0	8366	284

Stop Event

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

Compiler

Compiled 394 to 80 computations (79.7% saved)

preprocess586.0ms (6.7%)

Memory: -14.3MiB live, 415.5MiB allocated; 162ms collecting garbage
Remove: (sort t a)
Compiler: Compiled 1 612 to 710 computations (56% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	12	48
0	19	48
1	33	48
2	71	48
3	133	48
4	192	48
5	274	48
6	382	48
7	491	48
8	510	48
0	510	48

Iter	Nodes	Cost
0	80	394
1	112	394
2	169	394
3	237	394
4	297	394
5	375	394
6	478	394
7	587	394
8	605	394

Iter	Nodes	Cost
0	12	48
0	19	48
1	33	48
2	71	48
3	133	48
4	192	48
5	274	48
6	382	48
7	491	48
8	510	48
0	510	48

Iter	Nodes	Cost
0	80	394
1	112	394
2	169	394
3	237	394
4	297	394
5	375	394
6	478	394
7	587	394
8	605	394

start0.0ms (0%)

analyze391.0ms (4.5%)

sample1.7s (19.1%)

explain203.0ms (2.3%)

preprocess81.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify27.0ms (0.3%)

localize43.0ms (0.5%)

series52.0ms (0.6%)

simplify224.0ms (2.6%)

rewrite575.0ms (6.6%)

eval48.0ms (0.6%)

prune20.0ms (0.2%)

simplify95.0ms (1.1%)

localize282.0ms (3.2%)

series208.0ms (2.4%)

simplify286.0ms (3.3%)

rewrite270.0ms (3.1%)

eval144.0ms (1.7%)

prune28.0ms (0.3%)

simplify36.0ms (0.4%)

localize178.0ms (2%)

series115.0ms (1.3%)

simplify180.0ms (2.1%)

rewrite213.0ms (2.4%)

eval100.0ms (1.1%)

prune44.0ms (0.5%)

simplify108.0ms (1.2%)

localize109.0ms (1.3%)

series86.0ms (1%)

simplify273.0ms (3.1%)

rewrite246.0ms (2.8%)

eval78.0ms (0.9%)

prune40.0ms (0.5%)

regimes144.0ms (1.7%)

regimes9.0ms (0.1%)

regimes21.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes38.0ms (0.4%)

regimes56.0ms (0.6%)

regimes3.0ms (0%)

regimes28.0ms (0.3%)

regimes31.0ms (0.4%)

bsearch18.0ms (0.2%)

bsearch42.0ms (0.5%)

bsearch16.0ms (0.2%)

bsearch1.0ms (0%)

bsearch10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch42.0ms (0.5%)

bsearch21.0ms (0.2%)

simplify23.0ms (0.3%)

derivations1.2s (13.3%)

preprocess586.0ms (6.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	48
0	19	48
1	33	48
2	71	48
3	133	48
4	192	48
5	274	48
6	382	48
7	491	48
8	510	48
0	510	48

Iter	Nodes	Cost
0	80	394
1	112	394
2	169	394
3	237	394
4	297	394
5	375	394
6	478	394
7	587	394
8	605	394