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

analyze288.0ms (2.1%)

Memory

31.0MiB live, 499.9MiB allocated

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 (12.5%)

Memory

13.5MiB live, 2 247.3MiB allocated

Samples

1.1s	8 256×	0	valid
193.0ms	2 078×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 761.0ms

ival-mult: 380.0ms (49.9% of total)

ival-div: 248.0ms (32.6% of total)

ival-sqrt: 72.0ms (9.5% of total)

ival-sub: 49.0ms (6.4% of total)

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

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

Bogosity

preprocess215.0ms (1.6%)

Memory

-31.4MiB live, 129.0MiB allocated

Algorithm

1×	egg-herbie

Rules

1 536×	`unsub-neg`
1 194×	`div-sub`
1 182×	`times-frac`
1 032×	`associate-/l*`
866×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	295
1	260	285
2	625	285
3	1662	285
4	4345	285
5	6481	285
0	12	14
1	24	14
2	52	14
3	82	14
4	112	14
5	140	14
6	189	14
7	242	14
8	422	14
9	966	14
10	1295	14
11	2164	14
12	3180	14
13	3370	14
14	3392	14
15	3392	14
0	3392	14

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Symmetry

(negabs z)

(negabs y)

(negabs x)

(sort x y)

(sort t a)

explain669.0ms (4.9%)

Memory

11.6MiB live, 171.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
102	-	0	-	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`
27	-	2	(1.124449402884354e-284 4.105825505364139e+176 1.609309751150133e-216 -2.1577309951246336e+217 1.282204534047682e-280)	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
25	-	1	(6.975301029618928e-173 3.0933229635261786e-151 1.4849173898925351e+236 -4.158955933458294e-194 8.153974540613982e-197)	`(.f64 (.f64 x y) z)`
1	-	0	-	`(-.f64 (.f64 z z) (.f64 t a))`
0	-	0	-	`a`
0	-	0	-	`t`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 t a)`
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	96	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	overflow	96
↳	`(*.f64 t a)`	overflow	25
↳	`(*.f64 z z)`	overflow	76
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	o/n	22	0
↳	`(*.f64 x y)`	overflow	37
↳	`(.f64 (.f64 x y) z)`	overflow	47
`*.f64`	`(.f64 (.f64 x y) z)`	*nu**	13	0
`*.f64`	`(.f64 (.f64 x y) z)`	*no**	11	0
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`	uflow-rescue	6	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	underflow	6
↳	`(*.f64 t a)`	underflow	41
↳	`(*.f64 z z)`	underflow	53
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	u/n	3	0
↳	`(*.f64 x y)`	underflow	31
↳	`(.f64 (.f64 x y) z)`	underflow	31
`-.f64`	`(-.f64 (.f64 z z) (.f64 t a))`	nan-rescue	1	0
↳	`(*.f64 z z)`	overflow	76
↳	`(*.f64 t a)`	overflow	25

Confusion

	Predicted +	Predicted -
+	92	2
-	27	135

Precision

0.773109243697479

Recall

0.9787234042553191

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	92	0	2
-	27	0	135

Precision?

0.773109243697479

Recall?

0.9787234042553191

Freqs

test

number	freq
0	137
1	86
2	33

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

316.0ms

512×

valid

Compiler

Compiled 138 to 52 computations (62.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 296.0ms

ival-mult: 152.0ms (51.4% of total)

ival-sqrt: 138.0ms (46.6% of total)

ival-div: 3.0ms (1% of total)

ival-sub: 2.0ms (0.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.0%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify108.0ms (0.8%)

Memory

-21.7MiB live, 46.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

816×	`accelerator-lowering-fma.f32`
816×	`accelerator-lowering-fma.f64`
760×	`-lowering-.f32`
760×	`-lowering-.f64`
652×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	24	48
2	52	48
3	82	48
4	112	48
5	140	48
6	189	48
7	242	48
8	422	48
9	966	48
10	1295	48
11	2164	48
12	3180	48
13	3370	48
14	3392	48
15	3392	48
0	3392	48

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize43.0ms (0.3%)

Memory

-3.7MiB live, 33.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(-.f64 (.f64 z z) (.f64 t a))
✓	accuracy	90.9%	(.f64 (.f64 x y) z)
✓	accuracy	90.3%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
✓	accuracy	62.8%	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))

Samples

20.0ms

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 (57% of total)

ival-sqrt: 2.0ms (19% of total)

ival-sub: 1.0ms (9.5% of total)

ival-div: 1.0ms (9.5% of total)

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

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

series185.0ms (1.4%)

Memory

20.0MiB live, 55.2MiB allocated

Counts

5 → 192

Calls

Call 1

Inputs
#<alt (/ (* (* x y) z) (sqrt (- (* z z) (* t a))))>
#<alt (* (* x y) z)>
#<alt (* x y)>
#<alt (sqrt (- (* z z) (* t a)))>
#<alt (- (* z z) (* t a))>

Outputs
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* 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))))))>
#<alt (* 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))))))))>
#<alt (* 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))))))))))>
#<alt (* x y)>
#<alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))>
#<alt (+ (* -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)))>
#<alt (+ (* -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))))>
#<alt (* -1 (* x y))>
#<alt (+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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))))))>
#<alt (* x y)>
#<alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))>
#<alt (+ (* 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))>
#<alt (+ (* 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))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -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)))))))>
#<alt (+ (* -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))))))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -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)))))))>
#<alt (+ (* -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)))))))>
#<alt (* x y)>
#<alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))>
#<alt (+ (* 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))>
#<alt (+ (* 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))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -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)))))))>
#<alt (+ (* -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))))))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -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)))))))>
#<alt (+ (* -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)))))))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt z>
#<alt (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))>
#<alt (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))>
#<alt (* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))>
#<alt (* -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))))))))>
#<alt z>
#<alt (+ z (* -1/2 (/ (* a t) z)))>
#<alt (+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))>
#<alt (+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt z>
#<alt (+ z (* -1/2 (/ (* a t) z)))>
#<alt (+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))>
#<alt (+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* -1 (* a t))>
#<alt (- (pow z 2) (* a t))>
#<alt (- (pow z 2) (* a t))>
#<alt (- (pow z 2) (* a t))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))>
#<alt (pow z 2)>
#<alt (+ (* -1 (* a t)) (pow z 2))>
#<alt (+ (* -1 (* a t)) (pow z 2))>
#<alt (+ (* -1 (* a t)) (pow z 2))>
#<alt (* -1 (* a t))>
#<alt (* t (- (/ (pow z 2) t) a))>
#<alt (* t (- (/ (pow z 2) t) a))>
#<alt (* t (- (/ (pow z 2) t) a))>
#<alt (* -1 (* a t))>
#<alt (* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))>
#<alt (* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))>
#<alt (* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))>
#<alt (pow z 2)>
#<alt (+ (* -1 (* a t)) (pow z 2))>
#<alt (+ (* -1 (* a t)) (pow z 2))>
#<alt (+ (* -1 (* a t)) (pow z 2))>
#<alt (* -1 (* a t))>
#<alt (* a (- (/ (pow z 2) a) t))>
#<alt (* a (- (/ (pow z 2) a) t))>
#<alt (* a (- (/ (pow z 2) a) t))>
#<alt (* -1 (* a t))>
#<alt (* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))>
#<alt (* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))>
#<alt (* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))>

Calls

48 calls:

Time	Variable		Point	Expression
150.0ms	a	@	-inf	(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
3.0ms	x	@	-inf	(* x y)
2.0ms	x	@	0	(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
2.0ms	z	@	0	(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
2.0ms	t	@	inf	(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))

rewrite402.0ms (2.9%)

Memory

-13.4MiB live, 582.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 222×	`-lowering-.f32`
4 222×	`-lowering-.f64`
3 334×	`accelerator-lowering-fma.f32`
3 334×	`accelerator-lowering-fma.f64`
2 738×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	49	37
2	313	37
3	2693	37
0	8407	37

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 380

Calls

Call 1

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

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

simplify356.0ms (2.6%)

Memory

-3.4MiB live, 625.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 704×	`-lowering-.f32`
8 704×	`-lowering-.f64`
7 510×	`accelerator-lowering-fma.f32`
7 510×	`accelerator-lowering-fma.f64`
1 846×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	495	3663
1	1609	3591
2	6478	3573
0	8266	3461

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (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))))))))))
(* x y)
(+ (* 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))))
(* -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))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* 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))
(* (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)))) (* (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))))))))
(* (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)))))) (* (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)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* 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))
(* (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)))) (* (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 (/ 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))))))))
(* (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)))))) (* (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 (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)))))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* (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)))))))))
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)))))))
(* -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))))))))
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))))))))
(* (sqrt (* a t)) (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))))))
(* -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)))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ 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))))))))
(* (sqrt (* a t)) (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))))))
(* -1 (* (sqrt (* a t)) (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 t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* -1 (* a t))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* -1 (* a t))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* -1 (* a t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* -1 (* a t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))

Outputs
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(.f64 (.f64 x (.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a (neg.f64 t))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 y (.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(* 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 z (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 x (.f64 y (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t))))) (.f64 (/.f64 (.f64 x (.f64 y (.f64 z z))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64)))))
(* 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 z (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 x (.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t)))))) (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 a t)) x) (.f64 (.f64 z z) (fma.f64 y (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 a a)) (neg.f64 (.f64 t (.f64 t t))))) (/.f64 y (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t))))))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 z z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 x (.f64 y (sqrt.f64 #s(literal -1 binary64)))))))
(* 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 z (fma.f64 (.f64 z z) (fma.f64 (.f64 z z) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 a t))) (fma.f64 (.f64 y (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t)))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 a a)) (neg.f64 (.f64 t (.f64 t t)))))) (.f64 a (neg.f64 t))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 t #s(literal 4 binary64))))))) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 x (fma.f64 y (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 a a)) (neg.f64 (.f64 t (.f64 t t))))) (/.f64 y (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t)))))) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 t (.f64 t t))))) (.f64 (/.f64 (.f64 x y) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a t))) (.f64 x (.f64 y (sqrt.f64 #s(literal -1 binary64)))))))
(* x y)
(*.f64 x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z)) (*.f64 x y))
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z
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z
(+ z (* -1/2 (/ (* a t) z)))
(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 t z) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 t t))) (.f64 z (*.f64 z z)))) 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 a (fma.f64 a (fma.f64 #s(literal -1/8 binary64) (.f64 t (/.f64 t (.f64 z (.f64 z z)))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 t (.f64 t t)))) (pow.f64 z #s(literal 5 binary64)))) (/.f64 (.f64 t #s(literal -1/2 binary64)) z)) z)
(* (sqrt (* a t)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 a t)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
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(* 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)))))
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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))))))
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(* -1 (* (sqrt (* a t)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a t)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
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(- (pow z 2) (* a t))
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(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
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(pow z 2)
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(.f64 a (-.f64 (/.f64 (.f64 z z) a) t))
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eval72.0ms (0.5%)

Memory: 44.4MiB live, 155.7MiB allocated
Compiler: Compiled 21 980 to 1 796 computations (91.8% saved)

prune90.0ms (0.7%)

Memory

-10.7MiB live, 225.9MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	559	13	572
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	560	13	573

Accuracy

94.0%

Counts

573 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.6%	(fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z)) (*.f64 x y))
	52.1%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 x (.f64 y z)))) (-.f64 (.f64 z z) (.f64 t a)))
▶	66.8%	(/.f64 (.f64 (.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
	55.2%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (.f64 z (.f64 z (fma.f64 (neg.f64 a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))))
	40.2%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (*.f64 a (neg.f64 t))))
▶	62.5%	(/.f64 (.f64 (.f64 x y) z) z)
▶	66.4%	(/.f64 (.f64 x y) (/.f64 (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a))) z))
	65.2%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) x)
▶	62.8%	(.f64 (/.f64 (.f64 x z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) y)
	61.5%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a)))) y) (*.f64 x z))
	63.4%	(.f64 (.f64 y z) (/.f64 x (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
	61.5%	(.f64 (.f64 x z) (/.f64 y (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
▶	67.3%	(*.f64 x y)

Compiler

Compiled 514 to 312 computations (39.3% saved)

simplify176.0ms (1.3%)

Memory

-18.8MiB live, 280.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
✓	cost-diff	0	(/.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	384	(/.f64 (.f64 x y) (/.f64 (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a))) z))
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(/.f64 (.f64 x z) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a))))
✓	cost-diff	0	(.f64 (/.f64 (.f64 x z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) y)
✓	cost-diff	0	(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) 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) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(.f64 (.f64 x y) z)
✓	cost-diff	1024	(/.f64 (.f64 (.f64 x y) z) z)
✓	cost-diff	0	(*.f64 x y)

Rules

4 072×	`-lowering-.f32`
4 072×	`-lowering-.f64`
2 610×	`/-lowering-/.f32`
2 610×	`/-lowering-/.f64`
2 146×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	173
1	54	173
2	117	173
3	190	173
4	500	173
5	1262	173
6	2365	173
7	3878	173
8	6134	173
0	8195	171

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x y)
x
y
(/ (* (* x y) z) z)
(* (* x y) z)
(* x y)
x
y
z
(/ (* (* x y) z) (+ (* a (/ (* t -1/2) z)) z))
(* (* x y) z)
(* x y)
x
y
z
(+ (* a (/ (* t -1/2) z)) z)
a
(/ (* t -1/2) z)
(* t -1/2)
t
-1/2
(* (/ (* x z) (sqrt (- (* z z) (* t a)))) y)
(/ (* x z) (sqrt (- (* z z) (* t a))))
(* x z)
x
z
(sqrt (- (* z z) (* t a)))
(- (* z z) (* t a))
(* z z)
(* t a)
t
a
y
(/ (* x y) (/ (sqrt (- (* z z) (* t a))) z))
(* x y)
x
y
(/ (sqrt (- (* z z) (* t a))) z)
(sqrt (- (* z z) (* t a)))
(- (* z z) (* t a))
(* z z)
z
(* t a)
t
a

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

localize102.0ms (0.7%)

Memory

-18.2MiB live, 97.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) z)
✓	accuracy	99.7%	(-.f64 (.f64 z z) (.f64 t a))
✓	accuracy	95.1%	(/.f64 (.f64 x y) (/.f64 (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a))) z))
✓	accuracy	62.8%	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
✓	accuracy	99.7%	(-.f64 (.f64 z z) (.f64 t a))
✓	accuracy	91.8%	(/.f64 (.f64 x z) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a))))
✓	accuracy	91.6%	(.f64 (/.f64 (.f64 x z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) y)
✓	accuracy	62.8%	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
✓	accuracy	100.0%	(*.f64 t #s(literal -1/2 binary64))
✓	accuracy	98.8%	(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
✓	accuracy	90.9%	(.f64 (.f64 x y) z)
✓	accuracy	88.9%	(/.f64 (.f64 (.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	90.9%	(.f64 (.f64 x y) z)
✓	accuracy	86.9%	(/.f64 (.f64 (.f64 x y) z) z)
✓	accuracy	100.0%	(*.f64 x y)

Samples

49.0ms

256×

valid

Compiler

Compiled 177 to 25 computations (85.9% saved)

Precisions

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

ival-mult: 16.0ms (51.3% of total)

ival-div: 10.0ms (32% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

series100.0ms (0.7%)

Memory

14.7MiB live, 51.0MiB allocated

Counts

13 → 504

Calls

Call 1

Inputs
#<alt (* x y)>
#<alt (/ (* (* x y) z) z)>
#<alt (* (* x y) z)>
#<alt (/ (* (* x y) z) (+ (* a (/ (* t -1/2) z)) z))>
#<alt (+ (* a (/ (* t -1/2) z)) z)>
#<alt (* (/ (* x z) (sqrt (- (* z z) (* t a)))) y)>
#<alt (/ (* x z) (sqrt (- (* z z) (* t a))))>
#<alt (* x z)>
#<alt (sqrt (- (* z z) (* t a)))>
#<alt (/ (* x y) (/ (sqrt (- (* z z) (* t a))) z))>
#<alt (/ (sqrt (- (* z z) (* t a))) z)>
#<alt (* t -1/2)>
#<alt (- (* z z) (* t a))>

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

Calls

126 calls:

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

rewrite772.0ms (5.7%)

Memory

1.7MiB live, 487.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 032×	`-lowering-.f32`
6 032×	`-lowering-.f64`
5 740×	`accelerator-lowering-fma.f32`
5 740×	`accelerator-lowering-fma.f64`
4 024×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	106
1	118	106
2	807	106
0	8284	104

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 867

Calls

Call 1

Inputs
(* x y)
(/ (* (* x y) z) z)
(* (* x y) z)
(/ (* (* x y) z) (+ (* a (/ (* t -1/2) z)) z))
(+ (* a (/ (* t -1/2) z)) z)
(* (/ (* x z) (sqrt (- (* z z) (* t a)))) y)
(/ (* x z) (sqrt (- (* z z) (* t a))))
(* x z)
(sqrt (- (* z z) (* t a)))
(/ (* x y) (/ (sqrt (- (* z z) (* t a))) z))
(/ (sqrt (- (* z z) (* t a))) z)
(* t -1/2)
(- (* z z) (* t a))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 x (neg.f64 y)))
(neg.f64 (*.f64 x (neg.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 x (neg.f64 y))))
(/.f64 (*.f64 x y) #s(literal 1 binary64))
(/.f64 (.f64 x (.f64 y z)) z)
(/.f64 (.f64 z (.f64 x (neg.f64 y))) (neg.f64 z))
(/.f64 (*.f64 x (neg.f64 y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y z))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
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(/.f64 (.f64 (.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 a (.f64 a (.f64 t t)))) (.f64 (fma.f64 z z (.f64 t (neg.f64 a))) (fma.f64 z z (.f64 a t)))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 a t)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 a (.f64 a (.f64 t t)))))
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(.f64 (/.f64 (.f64 (fma.f64 z z (.f64 t (neg.f64 a))) (fma.f64 z z (.f64 a t))) (.f64 (fma.f64 z z (.f64 t (neg.f64 a))) (fma.f64 z z (.f64 a t)))) (fma.f64 z z (.f64 t (neg.f64 a))))
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(.f64 (/.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 a t) (.f64 a (.f64 a (.f64 t t))))) (.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 a (.f64 t (fma.f64 z z (.f64 a t))))) (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 a (.f64 t (fma.f64 z z (.f64 a t))))))) (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 a (.f64 t (fma.f64 z z (*.f64 a t))))))
(.f64 (/.f64 (.f64 (fma.f64 z z (.f64 t (neg.f64 a))) (fma.f64 z z (.f64 a t))) (fma.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))) (.f64 (.f64 a t) (.f64 a (.f64 a (.f64 t t)))))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 (.f64 a t) (-.f64 (.f64 a t) (*.f64 z z)))))

simplify617.0ms (4.5%)

Memory

1.7MiB live, 790.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 346×	`-lowering-.f32`
7 346×	`-lowering-.f64`
7 002×	`accelerator-lowering-fma.f32`
7 002×	`accelerator-lowering-fma.f64`
4 910×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	964	10612
1	3246	10404
0	8452	10050

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

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

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

eval255.0ms (1.9%)

Memory: 12.1MiB live, 437.8MiB allocated
Compiler: Compiled 47 775 to 3 351 computations (93% saved)

prune272.0ms (2%)

Memory

32.9MiB live, 532.6MiB allocated

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	1 849	27	1 876
Fresh	4	4	8
Picked	2	3	5
Done	0	0	0
Total	1 855	34	1 889

Accuracy

94.0%

Counts

1 889 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.6%	(fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z)) (*.f64 x y))
	12.6%	(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal 4 binary64))) (.f64 t (.f64 a a))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 x (.f64 y (.f64 z z))) a))) t)
	52.1%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 x (.f64 y z)))) (-.f64 (.f64 z z) (.f64 t a)))
	55.2%	(/.f64 (.f64 (.f64 y z) x) z)
	63.2%	(/.f64 (.f64 (.f64 x z) y) z)
✓	66.8%	(/.f64 (.f64 (.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
	27.1%	(/.f64 (.f64 (.f64 x y) z) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t))
	40.2%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (*.f64 a (neg.f64 t))))
✓	62.5%	(/.f64 (.f64 (.f64 x y) z) z)
	64.4%	(/.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -1 binary64))) z) (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z))
	39.4%	(/.f64 (.f64 x y) (/.f64 (sqrt.f64 (.f64 a (neg.f64 t))) z))
	21.7%	(/.f64 (.f64 #s(literal -2 binary64) (.f64 x (.f64 y (.f64 z z)))) (*.f64 a t))
	67.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
	57.5%	(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (.f64 x t)) (.f64 z z)) x) y)
	60.2%	(.f64 (/.f64 (.f64 y z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)) x)
	65.2%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a))))) x)
	72.3%	(.f64 (/.f64 (.f64 x z) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t z)) y)
▶	34.9%	(.f64 (/.f64 (.f64 x z) (sqrt.f64 (*.f64 a (neg.f64 t)))) y)
	64.9%	(.f64 (/.f64 (.f64 x y) (sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a))))) z)
	60.3%	(.f64 (/.f64 (.f64 x y) z) z)
▶	63.4%	(.f64 (/.f64 x (sqrt.f64 (fma.f64 z z (.f64 t (neg.f64 a))))) (*.f64 y z))
	48.6%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 z x)) (.f64 y z))
	55.2%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (*.f64 y z)))
	63.9%	(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a))))) x) y)
	67.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
▶	65.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 x z))
	48.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) x) (*.f64 y z))
	61.5%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a)))) y) (*.f64 x z))
	48.8%	(.f64 (.f64 y z) (/.f64 x z))
▶	75.1%	(.f64 (.f64 x (neg.f64 y)) (.f64 z (/.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z))))
▶	65.1%	(.f64 (.f64 x z) (/.f64 y z))
	53.0%	(.f64 (neg.f64 x) (/.f64 (.f64 y z) (neg.f64 z)))
✓	67.3%	(*.f64 x y)
	57.7%	(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z) (.f64 x (.f64 y z)))) #s(literal -1 binary64)))

Compiler

Compiled 1 155 to 752 computations (34.9% saved)

simplify219.0ms (1.6%)

Memory

-11.1MiB live, 262.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 z z (*.f64 t (neg.f64 a)))
✓	cost-diff	0	(sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a))))
✓	cost-diff	0	(/.f64 x (sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a)))))
✓	cost-diff	0	(.f64 (/.f64 x (sqrt.f64 (fma.f64 z z (.f64 t (neg.f64 a))))) (*.f64 y z))
✓	cost-diff	0	(sqrt.f64 (*.f64 a (neg.f64 t)))
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(/.f64 (.f64 x z) (sqrt.f64 (.f64 a (neg.f64 t))))
✓	cost-diff	0	(.f64 (/.f64 (.f64 x z) (sqrt.f64 (*.f64 a (neg.f64 t)))) y)
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) z) y)
✓	cost-diff	1024	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 x z))
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	1024	(.f64 (.f64 x z) (/.f64 y z))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(*.f64 x (neg.f64 y))
✓	cost-diff	192	(.f64 z (/.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z)))
✓	cost-diff	256	(.f64 (.f64 x (neg.f64 y)) (.f64 z (/.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z))))

Rules

2 904×	`-lowering-.f32`
2 904×	`-lowering-.f64`
2 874×	`/-lowering-/.f32`
2 874×	`/-lowering-/.f64`
1 964×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	204
1	93	200
2	228	198
3	591	188
4	1154	188
5	2620	187
6	6002	187
0	8158	184

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* x (neg y)) (* z (/ -1 (+ (* a (/ (* t -1/2) z)) z))))
(* x (neg y))
x
(neg y)
y
(* z (/ -1 (+ (* a (/ (* t -1/2) z)) z)))
z
(/ -1 (+ (* a (/ (* t -1/2) z)) z))
-1
(+ (* a (/ (* t -1/2) z)) z)
a
(/ (* t -1/2) z)
(* t -1/2)
t
-1/2
(* (* x z) (/ y z))
(* x z)
x
z
(/ y z)
y
(* (* (/ 1 z) y) (* x z))
(* (/ 1 z) y)
(/ 1 z)
1
z
y
(* x z)
x
(* (/ (* x z) (sqrt (* a (neg t)))) y)
(/ (* x z) (sqrt (* a (neg t))))
(* x z)
x
z
(sqrt (* a (neg t)))
(* a (neg t))
a
(neg t)
t
y
(* (/ x (sqrt (+ (* z z) (* t (neg a))))) (* y z))
(/ x (sqrt (+ (* z z) (* t (neg a)))))
x
(sqrt (+ (* z z) (* t (neg a))))
(+ (* z z) (* t (neg a)))
z
(* t (neg a))
t
(neg a)
a
(* y z)
y

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

localize104.0ms (0.8%)

Memory

41.3MiB live, 236.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 z z (*.f64 t (neg.f64 a)))
✓	accuracy	99.8%	(/.f64 x (sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a)))))
✓	accuracy	85.3%	(.f64 (/.f64 x (sqrt.f64 (fma.f64 z z (.f64 t (neg.f64 a))))) (*.f64 y z))
✓	accuracy	74.8%	(sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a))))
✓	accuracy	100.0%	(neg.f64 t)
✓	accuracy	97.6%	(/.f64 (.f64 x z) (sqrt.f64 (.f64 a (neg.f64 t))))
✓	accuracy	91.5%	(.f64 (/.f64 (.f64 x z) (sqrt.f64 (*.f64 a (neg.f64 t)))) y)
✓	accuracy	81.8%	(sqrt.f64 (*.f64 a (neg.f64 t)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) z) y)
✓	accuracy	83.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 x z))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	83.5%	(.f64 (.f64 x z) (/.f64 y z))
✓	accuracy	99.8%	(.f64 z (/.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z)))
✓	accuracy	99.6%	(/.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
✓	accuracy	98.8%	(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
✓	accuracy	94.0%	(.f64 (.f64 x (neg.f64 y)) (.f64 z (/.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z))))

Samples

49.0ms	184×	0	valid
18.0ms	72×	0	invalid

Compiler

Compiled 202 to 38 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 23.0ms (50.6% of total)

ival-div: 11.0ms (24.2% of total)

ival-neg: 5.0ms (11% of total)

ival-sqrt: 3.0ms (6.6% of total)

ival-add: 2.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series55.0ms (0.4%)

Memory

1.9MiB live, 119.4MiB allocated

Counts

20 → 684

Calls

Call 1

Inputs
#<alt (* (* x (neg y)) (* z (/ -1 (+ (* a (/ (* t -1/2) z)) z))))>
#<alt (* z (/ -1 (+ (* a (/ (* t -1/2) z)) z)))>
#<alt (* x (neg y))>
#<alt (neg y)>
#<alt (* (* x z) (/ y z))>
#<alt (* x z)>
#<alt (/ y z)>
#<alt (* (* (/ 1 z) y) (* x z))>
#<alt (* (/ 1 z) y)>
#<alt (/ 1 z)>
#<alt (* (/ (* x z) (sqrt (* a (neg t)))) y)>
#<alt (/ (* x z) (sqrt (* a (neg t))))>
#<alt (sqrt (* a (neg t)))>
#<alt (* (/ x (sqrt (+ (* z z) (* t (neg a))))) (* y z))>
#<alt (/ x (sqrt (+ (* z z) (* t (neg a)))))>
#<alt (sqrt (+ (* z z) (* t (neg a))))>
#<alt (+ (* z z) (* t (neg a)))>
#<alt (+ (* a (/ (* t -1/2) z)) z)>
#<alt (/ -1 (+ (* a (/ (* t -1/2) z)) z))>
#<alt (neg t)>

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

Calls

171 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(/ x (sqrt (+ (* z z) (* t (neg a)))))
3.0ms	y	@	0	(* (/ (* x z) (sqrt (* a (neg t)))) y)
2.0ms	a	@	inf	(* (* x (neg y)) (* z (/ -1 (+ (* a (/ (* t -1/2) z)) z))))
2.0ms	a	@	0	(* (/ (* x z) (sqrt (* a (neg t)))) y)
1.0ms	x	@	0	(* (/ x (sqrt (+ (* z z) (* t (neg a))))) (* y z))

rewrite641.0ms (4.7%)

Memory

-27.6MiB live, 561.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 212×	`accelerator-lowering-fma.f32`
6 212×	`accelerator-lowering-fma.f64`
6 180×	`-lowering-.f32`
6 180×	`-lowering-.f64`
3 290×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	153
1	161	147
2	980	136
0	8837	133

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 890

Calls

Call 1

Inputs
(* (* x (neg y)) (* z (/ -1 (+ (* a (/ (* t -1/2) z)) z))))
(* z (/ -1 (+ (* a (/ (* t -1/2) z)) z)))
(* x (neg y))
(neg y)
(* (* x z) (/ y z))
(* x z)
(/ y z)
(* (* (/ 1 z) y) (* x z))
(* (/ 1 z) y)
(/ 1 z)
(* (/ (* x z) (sqrt (* a (neg t)))) y)
(/ (* x z) (sqrt (* a (neg t))))
(sqrt (* a (neg t)))
(* (/ x (sqrt (+ (* z z) (* t (neg a))))) (* y z))
(/ x (sqrt (+ (* z z) (* t (neg a)))))
(sqrt (+ (* z z) (* t (neg a))))
(+ (* z z) (* t (neg a)))
(+ (* a (/ (* t -1/2) z)) z)
(/ -1 (+ (* a (/ (* t -1/2) z)) z))
(neg t)

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

simplify568.0ms (4.2%)

Memory

-10.4MiB live, 778.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 534×	`accelerator-lowering-fma.f32`
7 534×	`accelerator-lowering-fma.f64`
7 320×	`-lowering-.f32`
7 320×	`-lowering-.f64`
5 026×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1159	11046
1	3829	10846
0	8059	10506

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 684

Calls

Call 1

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

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

eval236.0ms (1.7%)

Memory: 1.2MiB live, 434.0MiB allocated
Compiler: Compiled 34 337 to 3 676 computations (89.3% saved)

prune297.0ms (2.2%)

Memory

-14.7MiB live, 512.2MiB allocated

Pruning

37 alts after pruning (30 fresh and 7 done)

	Pruned	Kept	Total
New	1 625	17	1 642
Fresh	13	13	26
Picked	1	4	5
Done	0	3	3
Total	1 639	37	1 676

Accuracy

100.0%

Counts

1 676 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.9%	(/.f64 (/.f64 (.f64 y (.f64 x z)) (sqrt.f64 a)) (sqrt.f64 (neg.f64 t)))
	55.2%	(/.f64 (.f64 (.f64 y z) x) z)
	63.2%	(/.f64 (.f64 (.f64 x z) y) z)
✓	66.8%	(/.f64 (.f64 (.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
	27.1%	(/.f64 (.f64 (.f64 x y) z) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t))
✓	62.5%	(/.f64 (.f64 (.f64 x y) z) z)
	65.2%	(/.f64 (*.f64 x z) (/.f64 z y))
	21.7%	(/.f64 (.f64 #s(literal -2 binary64) (.f64 x (.f64 y (.f64 z z)))) (*.f64 a t))
	65.0%	(/.f64 x (*.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) z)))
	67.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
	57.5%	(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (.f64 x t)) (.f64 z z)) x) y)
▶	60.2%	(.f64 (/.f64 (.f64 y z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)) x)
	65.2%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a))))) x)
	43.4%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 a)) (/.f64 x (sqrt.f64 (neg.f64 t))))
▶	72.3%	(.f64 (/.f64 (.f64 x z) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t z)) y)
	38.4%	(.f64 (/.f64 (.f64 x z) (*.f64 (sqrt.f64 (neg.f64 t)) (sqrt.f64 a))) y)
✓	34.9%	(.f64 (/.f64 (.f64 x z) (sqrt.f64 (*.f64 a (neg.f64 t)))) y)
	45.1%	(.f64 (/.f64 (.f64 x y) (sqrt.f64 a)) (/.f64 z (sqrt.f64 (neg.f64 t))))
	60.3%	(.f64 (/.f64 (.f64 x y) z) z)
	39.4%	(.f64 (/.f64 x (sqrt.f64 (.f64 a (neg.f64 t)))) (*.f64 y z))
▶	48.8%	(.f64 (/.f64 x z) (.f64 y z))
	48.6%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 z x)) (.f64 y z))
	63.2%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (*.f64 x z)))
	35.3%	(.f64 (.f64 (/.f64 z (sqrt.f64 (*.f64 t (neg.f64 a)))) x) y)
	38.3%	(.f64 (.f64 (/.f64 z (sqrt.f64 a)) (/.f64 x (sqrt.f64 (neg.f64 t)))) y)
✓	65.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 x z))
	56.5%	(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) z) y)
	61.5%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a)))) y) (*.f64 x z))
	40.2%	(.f64 (.f64 y (/.f64 z (sqrt.f64 (*.f64 t (neg.f64 a))))) x)
	59.0%	(.f64 (.f64 x (neg.f64 y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a t) (.f64 z z)) #s(literal -1 binary64)))
✓	75.1%	(.f64 (.f64 x (neg.f64 y)) (.f64 z (/.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z))))
✓	65.1%	(.f64 (.f64 x z) (/.f64 y z))
	53.0%	(.f64 (neg.f64 x) (/.f64 (.f64 y z) (neg.f64 z)))
▶	38.3%	(.f64 z (.f64 (/.f64 x (sqrt.f64 (*.f64 t (neg.f64 a)))) y))
	37.9%	(.f64 x (.f64 z (/.f64 y (sqrt.f64 (*.f64 t (neg.f64 a))))))
✓	67.3%	(*.f64 x y)
▶	67.1%	(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))

Compiler

Compiled 1 047 to 716 computations (31.6% saved)

simplify261.0ms (1.9%)

Memory

17.4MiB live, 293.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(/.f64 (.f64 y z) (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z))
✓	cost-diff	0	(.f64 (/.f64 (.f64 y z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)) x)
✓	cost-diff	0	(sqrt.f64 (*.f64 t (neg.f64 a)))
✓	cost-diff	0	(/.f64 x (sqrt.f64 (*.f64 t (neg.f64 a))))
✓	cost-diff	0	(.f64 (/.f64 x (sqrt.f64 (.f64 t (neg.f64 a)))) y)
✓	cost-diff	0	(.f64 z (.f64 (/.f64 x (sqrt.f64 (*.f64 t (neg.f64 a)))) y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	320	(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
✓	cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	1024	(.f64 (/.f64 x z) (.f64 y z))
✓	cost-diff	0	(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t z)
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(/.f64 (.f64 x z) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t z))
✓	cost-diff	0	(.f64 (/.f64 (.f64 x z) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t z)) y)

Rules

3 532×	`accelerator-lowering-fma.f32`
3 532×	`accelerator-lowering-fma.f64`
3 178×	`-lowering-.f32`
3 178×	`-lowering-.f64`
2 084×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	187
1	82	187
2	174	187
3	306	175
4	508	175
5	1253	175
6	2011	175
7	2160	175
8	2348	175
9	2902	175
10	3003	175
11	3003	175
12	4990	175
13	5009	175
14	7054	175
15	7602	175
16	7635	175
17	7665	175
18	7767	175
19	7801	175
20	7837	175
21	7875	175
22	7915	175
23	7957	175
0	8001	169

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (* x z) (+ (* (* -1/2 (/ a z)) t) z)) y)
(/ (* x z) (+ (* (* -1/2 (/ a z)) t) z))
(* x z)
x
z
(+ (* (* -1/2 (/ a z)) t) z)
(* -1/2 (/ a z))
-1/2
(/ a z)
a
t
y
(* (/ x z) (* y z))
(/ x z)
x
z
(* y z)
y
(* 1 (/ x (/ 1 y)))
1
(/ x (/ 1 y))
x
(/ 1 y)
y
(* z (* (/ x (sqrt (* t (neg a)))) y))
z
(* (/ x (sqrt (* t (neg a)))) y)
(/ x (sqrt (* t (neg a))))
x
(sqrt (* t (neg a)))
(* t (neg a))
t
(neg a)
a
y
(* (/ (* y z) (+ (* a (/ (* t -1/2) z)) z)) x)
(/ (* y z) (+ (* a (/ (* t -1/2) z)) z))
(* y z)
y
z
(+ (* a (/ (* t -1/2) z)) z)
a
(/ (* t -1/2) z)
(* t -1/2)
t
-1/2
x

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

localize164.0ms (1.2%)

Memory

-25.4MiB live, 230.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 t #s(literal -1/2 binary64))
✓	accuracy	99.6%	(.f64 (/.f64 (.f64 y z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)) x)
✓	accuracy	98.8%	(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
✓	accuracy	83.6%	(/.f64 (.f64 y z) (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z))
✓	accuracy	99.7%	(/.f64 x (sqrt.f64 (*.f64 t (neg.f64 a))))
✓	accuracy	96.5%	(.f64 (/.f64 x (sqrt.f64 (.f64 t (neg.f64 a)))) y)
✓	accuracy	95.5%	(.f64 z (.f64 (/.f64 x (sqrt.f64 (*.f64 t (neg.f64 a)))) y))
✓	accuracy	81.8%	(sqrt.f64 (*.f64 t (neg.f64 a)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	85.4%	(.f64 (/.f64 x z) (.f64 y z))
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) (/.f64 a z))
✓	accuracy	96.6%	(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t z)
✓	accuracy	96.2%	(/.f64 (.f64 x z) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t z))
✓	accuracy	93.6%	(.f64 (/.f64 (.f64 x z) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t z)) y)

Samples

45.0ms	184×	0	valid
17.0ms	72×	0	invalid

Compiler

Compiled 181 to 34 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 18.0ms (45.2% of total)

ival-div: 15.0ms (37.6% of total)

ival-add: 2.0ms (5% of total)

ival-sqrt: 2.0ms (5% of total)

ival-neg: 1.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

series59.0ms (0.4%)

Memory

4.6MiB live, 119.2MiB allocated

Counts

19 → 660

Calls

Call 1

Inputs
#<alt (* (/ (* x z) (+ (* (* -1/2 (/ a z)) t) z)) y)>
#<alt (/ (* x z) (+ (* (* -1/2 (/ a z)) t) z))>
#<alt (* x z)>
#<alt (+ (* (* -1/2 (/ a z)) t) z)>
#<alt (* (/ x z) (* y z))>
#<alt (/ x z)>
#<alt (* y z)>
#<alt (/ x (/ 1 y))>
#<alt (* 1 (/ x (/ 1 y)))>
#<alt (/ 1 y)>
#<alt (* z (* (/ x (sqrt (* t (neg a)))) y))>
#<alt (* (/ x (sqrt (* t (neg a)))) y)>
#<alt (/ x (sqrt (* t (neg a))))>
#<alt (sqrt (* t (neg a)))>
#<alt (* (/ (* y z) (+ (* a (/ (* t -1/2) z)) z)) x)>
#<alt (/ (* y z) (+ (* a (/ (* t -1/2) z)) z))>
#<alt (+ (* a (/ (* t -1/2) z)) z)>
#<alt (* -1/2 (/ a z))>
#<alt (* t -1/2)>

Outputs
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (* -2 (/ (* x (* y (pow z 2))) (* a t)))>
#<alt (* (pow z 2) (+ (* -4 (/ (* x (* y (pow z 2))) (* (pow a 2) (pow t 2)))) (* -2 (/ (* x y) (* a t)))))>
#<alt (* (pow z 2) (+ (* -2 (/ (* x y) (* a t))) (* (pow z 2) (- (* -8 (/ (* x (* y (pow z 2))) (* (pow a 3) (pow t 3)))) (* 4 (/ (* x y) (* (pow a 2) (pow t 2))))))))>
#<alt (* (pow z 2) (+ (* -2 (/ (* x y) (* a t))) (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (* x (* y (pow z 2))) (* (pow a 4) (pow t 4)))) (* 8 (/ (* x y) (* (pow a 3) (pow t 3)))))) (* 4 (/ (* x y) (* (pow a 2) (pow t 2))))))))>
#<alt (* x y)>
#<alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))>
#<alt (- (+ (* 1/4 (/ (* (pow a 2) (* (pow t 2) (* x y))) (pow z 4))) (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))>
#<alt (- (+ (* 1/8 (/ (* (pow a 3) (* (pow t 3) (* x y))) (pow z 6))) (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* -1/4 (/ (* (pow a 2) (* (pow t 2) (* x y))) (pow z 4)))))>
#<alt (* x y)>
#<alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))>
#<alt (+ (* 1/4 (/ (* (pow a 2) (* (pow t 2) (* x y))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))>
#<alt (+ (* 1/8 (/ (* (pow a 3) (* (pow t 3) (* x y))) (pow z 6))) (+ (* 1/4 (/ (* (pow a 2) (* (pow t 2) (* x y))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))>
#<alt (* x y)>
#<alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))>
#<alt (+ (* a (- (* 1/4 (/ (* a (* (pow t 2) (* x y))) (pow z 4))) (* -1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))>
#<alt (+ (* a (- (* a (- (* 1/8 (/ (* a (* (pow t 3) (* x y))) (pow z 6))) (* -1/4 (/ (* (pow t 2) (* x y)) (pow z 4))))) (* -1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))>
#<alt (* -2 (/ (* x (* y (pow z 2))) (* a t)))>
#<alt (/ (+ (* -4 (/ (* x (* y (pow z 4))) (* a (pow t 2)))) (* -2 (/ (* x (* y (pow z 2))) t))) a)>
#<alt (/ (- (+ (* -8 (/ (* x (* y (pow z 6))) (* (pow a 2) (pow t 3)))) (* -2 (/ (* x (* y (pow z 2))) t))) (* 4 (/ (* x (* y (pow z 4))) (* a (pow t 2))))) a)>
#<alt (/ (- (+ (* -16 (/ (* x (* y (pow z 8))) (* (pow a 3) (pow t 4)))) (* -2 (/ (* x (* y (pow z 2))) t))) (+ (* 4 (/ (* x (* y (pow z 4))) (* a (pow t 2)))) (* 8 (/ (* x (* y (pow z 6))) (* (pow a 2) (pow t 3)))))) a)>
#<alt (* -2 (/ (* x (* y (pow z 2))) (* a t)))>
#<alt (* -1 (/ (+ (* 2 (/ (* x (* y (pow z 2))) t)) (* 4 (/ (* x (* y (pow z 4))) (* a (pow t 2))))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -8 (/ (* x (* y (pow z 6))) (* a (pow t 3)))) (* 4 (/ (* x (* y (pow z 4))) (pow t 2)))) a)) (* 2 (/ (* x (* y (pow z 2))) t))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 16 (/ (* x (* y (pow z 8))) (* a (pow t 4)))) (* -8 (/ (* x (* y (pow z 6))) (pow t 3)))) a)) (* 4 (/ (* x (* y (pow z 4))) (pow t 2)))) a)) (* 2 (/ (* x (* y (pow z 2))) t))) a))>
#<alt (* x y)>
#<alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))>
#<alt (+ (* t (- (* 1/4 (/ (* (pow a 2) (* t (* x y))) (pow z 4))) (* -1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))>
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#<alt (* (sqrt (/ 1 (* a t))) (/ x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (* -2 (/ (* x (* y (pow z 2))) (* a t)))>
#<alt (* (pow z 2) (+ (* -4 (/ (* x (* y (pow z 2))) (* (pow a 2) (pow t 2)))) (* -2 (/ (* x y) (* a t)))))>
#<alt (* (pow z 2) (+ (* -2 (/ (* x y) (* a t))) (* (pow z 2) (- (* -8 (/ (* x (* y (pow z 2))) (* (pow a 3) (pow t 3)))) (* 4 (/ (* x y) (* (pow a 2) (pow t 2))))))))>
#<alt (* (pow z 2) (+ (* -2 (/ (* x y) (* a t))) (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (* x (* y (pow z 2))) (* (pow a 4) (pow t 4)))) (* 8 (/ (* x y) (* (pow a 3) (pow t 3)))))) (* 4 (/ (* x y) (* (pow a 2) (pow t 2))))))))>
#<alt (* x y)>
#<alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))>
#<alt (- (+ (* 1/4 (/ (* (pow a 2) (* (pow t 2) (* x y))) (pow z 4))) (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))>
#<alt (- (+ (* 1/8 (/ (* (pow a 3) (* (pow t 3) (* x y))) (pow z 6))) (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* -1/4 (/ (* (pow a 2) (* (pow t 2) (* x y))) (pow z 4)))))>
#<alt (* x y)>
#<alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))>
#<alt (+ (* 1/4 (/ (* (pow a 2) (* (pow t 2) (* x y))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))>
#<alt (+ (* 1/8 (/ (* (pow a 3) (* (pow t 3) (* x y))) (pow z 6))) (+ (* 1/4 (/ (* (pow a 2) (* (pow t 2) (* x y))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))>
#<alt (* x y)>
#<alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))>
#<alt (+ (* a (- (* 1/4 (/ (* a (* (pow t 2) (* x y))) (pow z 4))) (* -1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))>
#<alt (+ (* a (- (* a (- (* 1/8 (/ (* a (* (pow t 3) (* x y))) (pow z 6))) (* -1/4 (/ (* (pow t 2) (* x y)) (pow z 4))))) (* -1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))>
#<alt (* -2 (/ (* x (* y (pow z 2))) (* a t)))>
#<alt (/ (+ (* -4 (/ (* x (* y (pow z 4))) (* a (pow t 2)))) (* -2 (/ (* x (* y (pow z 2))) t))) a)>
#<alt (/ (- (+ (* -8 (/ (* x (* y (pow z 6))) (* (pow a 2) (pow t 3)))) (* -2 (/ (* x (* y (pow z 2))) t))) (* 4 (/ (* x (* y (pow z 4))) (* a (pow t 2))))) a)>
#<alt (/ (- (+ (* -16 (/ (* x (* y (pow z 8))) (* (pow a 3) (pow t 4)))) (* -2 (/ (* x (* y (pow z 2))) t))) (+ (* 4 (/ (* x (* y (pow z 4))) (* a (pow t 2)))) (* 8 (/ (* x (* y (pow z 6))) (* (pow a 2) (pow t 3)))))) a)>
#<alt (* -2 (/ (* x (* y (pow z 2))) (* a t)))>
#<alt (* -1 (/ (+ (* 2 (/ (* x (* y (pow z 2))) t)) (* 4 (/ (* x (* y (pow z 4))) (* a (pow t 2))))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -8 (/ (* x (* y (pow z 6))) (* a (pow t 3)))) (* 4 (/ (* x (* y (pow z 4))) (pow t 2)))) a)) (* 2 (/ (* x (* y (pow z 2))) t))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 16 (/ (* x (* y (pow z 8))) (* a (pow t 4)))) (* -8 (/ (* x (* y (pow z 6))) (pow t 3)))) a)) (* 4 (/ (* x (* y (pow z 4))) (pow t 2)))) a)) (* 2 (/ (* x (* y (pow z 2))) t))) a))>
#<alt (* x y)>
#<alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))>
#<alt (+ (* t (- (* 1/4 (/ (* (pow a 2) (* t (* x y))) (pow z 4))) (* -1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))>
#<alt (+ (* t (- (* t (- (* 1/8 (/ (* (pow a 3) (* t (* x y))) (pow z 6))) (* -1/4 (/ (* (pow a 2) (* x y)) (pow z 4))))) (* -1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))>
#<alt (* -2 (/ (* x (* y (pow z 2))) (* a t)))>
#<alt (/ (+ (* -4 (/ (* x (* y (pow z 4))) (* (pow a 2) t))) (* -2 (/ (* x (* y (pow z 2))) a))) t)>
#<alt (/ (- (+ (* -8 (/ (* x (* y (pow z 6))) (* (pow a 3) (pow t 2)))) (* -2 (/ (* x (* y (pow z 2))) a))) (* 4 (/ (* x (* y (pow z 4))) (* (pow a 2) t)))) t)>
#<alt (/ (- (+ (* -16 (/ (* x (* y (pow z 8))) (* (pow a 4) (pow t 3)))) (* -2 (/ (* x (* y (pow z 2))) a))) (+ (* 4 (/ (* x (* y (pow z 4))) (* (pow a 2) t))) (* 8 (/ (* x (* y (pow z 6))) (* (pow a 3) (pow t 2)))))) t)>
#<alt (* -2 (/ (* x (* y (pow z 2))) (* a t)))>
#<alt (* -1 (/ (+ (* 2 (/ (* x (* y (pow z 2))) a)) (* 4 (/ (* x (* y (pow z 4))) (* (pow a 2) t)))) t))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -8 (/ (* x (* y (pow z 6))) (* (pow a 3) t))) (* 4 (/ (* x (* y (pow z 4))) (pow a 2)))) t)) (* 2 (/ (* x (* y (pow z 2))) a))) t))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 16 (/ (* x (* y (pow z 8))) (* (pow a 4) t))) (* -8 (/ (* x (* y (pow z 6))) (pow a 3)))) t)) (* 4 (/ (* x (* y (pow z 4))) (pow a 2)))) t)) (* 2 (/ (* x (* y (pow z 2))) a))) t))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* y z) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* y z) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* y z) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* y z) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* y z) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* y z) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* y z) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* y z) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* y z) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* y z) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* y z) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* y z) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (* -2 (/ (* y (pow z 2)) (* a t)))>
#<alt (* (pow z 2) (+ (* -4 (/ (* y (pow z 2)) (* (pow a 2) (pow t 2)))) (* -2 (/ y (* a t)))))>
#<alt (* (pow z 2) (+ (* -2 (/ y (* a t))) (* (pow z 2) (- (* -8 (/ (* y (pow z 2)) (* (pow a 3) (pow t 3)))) (* 4 (/ y (* (pow a 2) (pow t 2))))))))>
#<alt (* (pow z 2) (+ (* -2 (/ y (* a t))) (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (* y (pow z 2)) (* (pow a 4) (pow t 4)))) (* 8 (/ y (* (pow a 3) (pow t 3)))))) (* 4 (/ y (* (pow a 2) (pow t 2))))))))>
#<alt y>
#<alt (+ y (* 1/2 (/ (* a (* t y)) (pow z 2))))>
#<alt (- (+ y (* 1/4 (/ (* (pow a 2) (* (pow t 2) y)) (pow z 4)))) (* -1/2 (/ (* a (* t y)) (pow z 2))))>
#<alt (- (+ y (* 1/8 (/ (* (pow a 3) (* (pow t 3) y)) (pow z 6)))) (+ (* -1/2 (/ (* a (* t y)) (pow z 2))) (* -1/4 (/ (* (pow a 2) (* (pow t 2) y)) (pow z 4)))))>
#<alt y>
#<alt (+ y (* 1/2 (/ (* a (* t y)) (pow z 2))))>
#<alt (+ y (+ (* 1/4 (/ (* (pow a 2) (* (pow t 2) y)) (pow z 4))) (* 1/2 (/ (* a (* t y)) (pow z 2)))))>
#<alt (+ y (+ (* 1/8 (/ (* (pow a 3) (* (pow t 3) y)) (pow z 6))) (+ (* 1/4 (/ (* (pow a 2) (* (pow t 2) y)) (pow z 4))) (* 1/2 (/ (* a (* t y)) (pow z 2))))))>
#<alt y>
#<alt (+ y (* 1/2 (/ (* a (* t y)) (pow z 2))))>
#<alt (+ y (* a (- (* 1/4 (/ (* a (* (pow t 2) y)) (pow z 4))) (* -1/2 (/ (* t y) (pow z 2))))))>
#<alt (+ y (* a (- (* a (- (* 1/8 (/ (* a (* (pow t 3) y)) (pow z 6))) (* -1/4 (/ (* (pow t 2) y) (pow z 4))))) (* -1/2 (/ (* t y) (pow z 2))))))>
#<alt (* -2 (/ (* y (pow z 2)) (* a t)))>
#<alt (/ (+ (* -4 (/ (* y (pow z 4)) (* a (pow t 2)))) (* -2 (/ (* y (pow z 2)) t))) a)>
#<alt (/ (- (+ (* -8 (/ (* y (pow z 6)) (* (pow a 2) (pow t 3)))) (* -2 (/ (* y (pow z 2)) t))) (* 4 (/ (* y (pow z 4)) (* a (pow t 2))))) a)>
#<alt (/ (- (+ (* -16 (/ (* y (pow z 8)) (* (pow a 3) (pow t 4)))) (* -2 (/ (* y (pow z 2)) t))) (+ (* 4 (/ (* y (pow z 4)) (* a (pow t 2)))) (* 8 (/ (* y (pow z 6)) (* (pow a 2) (pow t 3)))))) a)>
#<alt (* -2 (/ (* y (pow z 2)) (* a t)))>
#<alt (* -1 (/ (+ (* 2 (/ (* y (pow z 2)) t)) (* 4 (/ (* y (pow z 4)) (* a (pow t 2))))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -8 (/ (* y (pow z 6)) (* a (pow t 3)))) (* 4 (/ (* y (pow z 4)) (pow t 2)))) a)) (* 2 (/ (* y (pow z 2)) t))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 16 (/ (* y (pow z 8)) (* a (pow t 4)))) (* -8 (/ (* y (pow z 6)) (pow t 3)))) a)) (* 4 (/ (* y (pow z 4)) (pow t 2)))) a)) (* 2 (/ (* y (pow z 2)) t))) a))>
#<alt y>
#<alt (+ y (* 1/2 (/ (* a (* t y)) (pow z 2))))>
#<alt (+ y (* t (- (* 1/4 (/ (* (pow a 2) (* t y)) (pow z 4))) (* -1/2 (/ (* a y) (pow z 2))))))>
#<alt (+ y (* t (- (* t (- (* 1/8 (/ (* (pow a 3) (* t y)) (pow z 6))) (* -1/4 (/ (* (pow a 2) y) (pow z 4))))) (* -1/2 (/ (* a y) (pow z 2))))))>
#<alt (* -2 (/ (* y (pow z 2)) (* a t)))>
#<alt (/ (+ (* -4 (/ (* y (pow z 4)) (* (pow a 2) t))) (* -2 (/ (* y (pow z 2)) a))) t)>
#<alt (/ (- (+ (* -8 (/ (* y (pow z 6)) (* (pow a 3) (pow t 2)))) (* -2 (/ (* y (pow z 2)) a))) (* 4 (/ (* y (pow z 4)) (* (pow a 2) t)))) t)>
#<alt (/ (- (+ (* -16 (/ (* y (pow z 8)) (* (pow a 4) (pow t 3)))) (* -2 (/ (* y (pow z 2)) a))) (+ (* 4 (/ (* y (pow z 4)) (* (pow a 2) t))) (* 8 (/ (* y (pow z 6)) (* (pow a 3) (pow t 2)))))) t)>
#<alt (* -2 (/ (* y (pow z 2)) (* a t)))>
#<alt (* -1 (/ (+ (* 2 (/ (* y (pow z 2)) a)) (* 4 (/ (* y (pow z 4)) (* (pow a 2) t)))) t))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -8 (/ (* y (pow z 6)) (* (pow a 3) t))) (* 4 (/ (* y (pow z 4)) (pow a 2)))) t)) (* 2 (/ (* y (pow z 2)) a))) t))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 16 (/ (* y (pow z 8)) (* (pow a 4) t))) (* -8 (/ (* y (pow z 6)) (pow a 3)))) t)) (* 4 (/ (* y (pow z 4)) (pow a 2)))) t)) (* 2 (/ (* y (pow z 2)) a))) t))>
#<alt z>
#<alt (+ z (* -1/2 (/ (* a t) z)))>
#<alt (+ z (* -1/2 (/ (* a t) z)))>
#<alt (+ z (* -1/2 (/ (* a t) z)))>
#<alt (* -1/2 (/ (* a t) z))>
#<alt (* a (+ (* -1/2 (/ t z)) (/ z a)))>
#<alt (* a (+ (* -1/2 (/ t z)) (/ z a)))>
#<alt (* a (+ (* -1/2 (/ t z)) (/ z a)))>
#<alt (* -1/2 (/ (* a t) z))>
#<alt (* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))>
#<alt (* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))>
#<alt (* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z)))))>
#<alt z>
#<alt (+ z (* -1/2 (/ (* a t) z)))>
#<alt (+ z (* -1/2 (/ (* a t) z)))>
#<alt (+ z (* -1/2 (/ (* a t) z)))>
#<alt (* -1/2 (/ (* a t) z))>
#<alt (* t (+ (* -1/2 (/ a z)) (/ z t)))>
#<alt (* t (+ (* -1/2 (/ a z)) (/ z t)))>
#<alt (* t (+ (* -1/2 (/ a z)) (/ z t)))>
#<alt (* -1/2 (/ (* a t) z))>
#<alt (* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))>
#<alt (* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))>
#<alt (* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z)))))>
#<alt (* -1/2 (/ (* a t) z))>
#<alt (/ (+ (* -1/2 (* a t)) (pow z 2)) z)>
#<alt (/ (+ (* -1/2 (* a t)) (pow z 2)) z)>
#<alt (/ (+ (* -1/2 (* a t)) (pow z 2)) z)>
#<alt z>
#<alt (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))>
#<alt (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))>
#<alt (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))>
#<alt z>
#<alt (* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))>
#<alt (* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))>
#<alt (* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1)))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 (/ a z))>
#<alt (* -1/2 t)>
#<alt (* -1/2 t)>
#<alt (* -1/2 t)>
#<alt (* -1/2 t)>
#<alt (* -1/2 t)>
#<alt (* -1/2 t)>
#<alt (* -1/2 t)>
#<alt (* -1/2 t)>
#<alt (* -1/2 t)>
#<alt (* -1/2 t)>
#<alt (* -1/2 t)>
#<alt (* -1/2 t)>

Calls

165 calls:

Time	Variable		Point	Expression
18.0ms	x	@	0	(* (/ x (sqrt (* t (neg a)))) y)
4.0ms	t	@	0	(/ (* y z) (+ (* a (/ (* t -1/2) z)) z))
2.0ms	a	@	-inf	(/ (* y z) (+ (* a (/ (* t -1/2) z)) z))
1.0ms	x	@	0	(/ x (sqrt (* t (neg a))))
1.0ms	a	@	0	(* (/ x (sqrt (* t (neg a)))) y)

rewrite433.0ms (3.2%)

Memory

39.9MiB live, 784.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 958×	`-lowering-.f32`
5 958×	`-lowering-.f64`
5 316×	`accelerator-lowering-fma.f32`
5 316×	`accelerator-lowering-fma.f64`
3 688×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	143
1	159	139
2	1061	139
3	7595	139
0	8414	133

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1 058

Calls

Call 1

Inputs
(* (/ (* x z) (+ (* (* -1/2 (/ a z)) t) z)) y)
(/ (* x z) (+ (* (* -1/2 (/ a z)) t) z))
(* x z)
(+ (* (* -1/2 (/ a z)) t) z)
(* (/ x z) (* y z))
(/ x z)
(* y z)
(/ x (/ 1 y))
(* 1 (/ x (/ 1 y)))
(/ 1 y)
(* z (* (/ x (sqrt (* t (neg a)))) y))
(* (/ x (sqrt (* t (neg a)))) y)
(/ x (sqrt (* t (neg a))))
(sqrt (* t (neg a)))
(* (/ (* y z) (+ (* a (/ (* t -1/2) z)) z)) x)
(/ (* y z) (+ (* a (/ (* t -1/2) z)) z))
(+ (* a (/ (* t -1/2) z)) z)
(* -1/2 (/ a z))
(* t -1/2)

Outputs
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(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a t) z) (neg.f64 z)) (.f64 z z))) (fma.f64 z (.f64 z z) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (.f64 (.f64 (.f64 a t) (.f64 a t)) #s(literal 1/4 binary64))) (.f64 z (*.f64 z z)))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a z) (.f64 t #s(literal 1/2 binary64)) z)) (-.f64 (/.f64 (.f64 (.f64 (.f64 a t) (.f64 a t)) #s(literal 1/4 binary64)) (.f64 z z)) (.f64 z z)))
(.f64 (-.f64 (.f64 z z) (/.f64 (.f64 (.f64 (.f64 a t) (.f64 a t)) #s(literal 1/4 binary64)) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 z (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a t)) z))))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 a t) (.f64 a t)) #s(literal 1/4 binary64)) (.f64 z z)) (.f64 z z)) (-.f64 (/.f64 (.f64 (.f64 (.f64 a t) (.f64 a t)) #s(literal 1/4 binary64)) (.f64 z z)) (.f64 z z))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a t) z) z))
(.f64 (/.f64 (fma.f64 z (.f64 z z) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (.f64 (.f64 (.f64 a t) (.f64 a t)) #s(literal 1/4 binary64))) (.f64 z (.f64 z z)))) (fma.f64 (.f64 z (+.f64 z (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a t)) z))) (.f64 z (.f64 (+.f64 z (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a t)) z)) (.f64 z (+.f64 z (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a t)) z))))) (.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (.f64 (.f64 (.f64 a t) (.f64 a t)) #s(literal 1/4 binary64))) (.f64 z (.f64 z z))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (.f64 (.f64 (.f64 a t) (.f64 a t)) #s(literal 1/4 binary64))) (.f64 z (.f64 z z)))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 a t) (.f64 a t)) #s(literal 1/4 binary64)) (.f64 z z)) (/.f64 (.f64 (.f64 (.f64 a t) (.f64 a t)) #s(literal 1/4 binary64)) (.f64 z z)) (.f64 (.f64 z (+.f64 z (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a t)) z))) (-.f64 (.f64 z (+.f64 z (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a t)) z))) (/.f64 (.f64 (.f64 (.f64 a t) (.f64 a t)) #s(literal 1/4 binary64)) (.f64 z z))))))
(.f64 (/.f64 (fma.f64 z (.f64 z z) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (.f64 (.f64 (.f64 a t) (.f64 a t)) #s(literal 1/4 binary64))) (.f64 z (.f64 z z)))) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a t) z) (neg.f64 z)) (.f64 z z)) (-.f64 (/.f64 (.f64 (.f64 (.f64 a t) (.f64 a t)) #s(literal 1/4 binary64)) (.f64 z z)) (.f64 z (+.f64 z (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a t)) z)))))) (-.f64 (/.f64 (.f64 (.f64 (.f64 a t) (.f64 a t)) #s(literal 1/4 binary64)) (.f64 z z)) (.f64 z (+.f64 z (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a t)) z)))))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 a t) (.f64 a t)) #s(literal 1/4 binary64)) (.f64 z z)) (.f64 z z)) (-.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 a t)) (.f64 (.f64 (.f64 a t) (.f64 a t)) #s(literal 1/4 binary64))) (.f64 z (.f64 z z))) (.f64 z (.f64 z z)))) (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a t) z) z) (/.f64 (.f64 (.f64 (.f64 a t) (.f64 a t)) #s(literal 1/4 binary64)) (.f64 z z))))
(neg.f64 (*.f64 (/.f64 a (neg.f64 z)) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a (neg.f64 z))))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) z))
(/.f64 #s(literal -1/2 binary64) (/.f64 z a))
(/.f64 a (*.f64 z #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal -1/2 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 #s(literal -1/2 binary64) a)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 #s(literal -1/2 binary64) a))))
(/.f64 #s(literal 1/2 binary64) (/.f64 z (neg.f64 a)))
(/.f64 (*.f64 #s(literal -1/2 binary64) a) z)
(/.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 a #s(literal 1/2 binary64))) z)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) z)
(pow.f64 (/.f64 z (*.f64 #s(literal -1/2 binary64) a)) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 a z))
(*.f64 a (/.f64 #s(literal -1/2 binary64) z))
(*.f64 (/.f64 a z) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) a) z))
(.f64 (neg.f64 a) (.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 a) (/.f64 #s(literal -1/2 binary64) (neg.f64 z)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 a (neg.f64 z)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 a (neg.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 #s(literal -1/2 binary64) a))
(.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal -1/2 binary64) z) a)
(.f64 (.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (neg.f64 a) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) z))
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 z)) (neg.f64 a))
(-.f64 #s(literal 0 binary64) (*.f64 t #s(literal 1/2 binary64)))
(neg.f64 (*.f64 t #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) t)
(*.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 t)))
(*.f64 t #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) t))
(.f64 (.f64 #s(literal -1/2 binary64) t) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 t #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (neg.f64 t))
(*.f64 (neg.f64 t) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (neg.f64 t)) #s(literal -1/2 binary64))

simplify435.0ms (3.2%)

Memory

5.5MiB live, 754.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 978×	`-lowering-.f32`
7 978×	`-lowering-.f64`
5 224×	`accelerator-lowering-fma.f32`
5 224×	`accelerator-lowering-fma.f64`
3 268×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	661	8914
1	2167	8870
2	7361	8862
0	8017	8564

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 660

Calls

Call 1

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

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

eval322.0ms (2.4%)

Memory: 30.9MiB live, 459.3MiB allocated
Compiler: Compiled 40 148 to 3 020 computations (92.5% saved)

prune300.0ms (2.2%)

Memory

-52.6MiB live, 456.5MiB allocated

Pruning

42 alts after pruning (32 fresh and 10 done)

	Pruned	Kept	Total
New	1 742	13	1 755
Fresh	6	19	25
Picked	1	4	5
Done	1	6	7
Total	1 750	42	1 792

Accuracy

100.0%

Counts

1 792 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.9%	(/.f64 (/.f64 (.f64 y (.f64 x z)) (sqrt.f64 a)) (sqrt.f64 (neg.f64 t)))
	55.2%	(/.f64 (.f64 (.f64 y z) x) z)
	63.2%	(/.f64 (.f64 (.f64 x z) y) z)
✓	66.8%	(/.f64 (.f64 (.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
	27.1%	(/.f64 (.f64 (.f64 x y) z) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t))
✓	62.5%	(/.f64 (.f64 (.f64 x y) z) z)
	48.6%	(/.f64 (*.f64 z y) (/.f64 z x))
	65.2%	(/.f64 (*.f64 x z) (/.f64 z y))
	67.1%	(/.f64 y (/.f64 #s(literal 1 binary64) x))
	65.0%	(/.f64 x (*.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) z)))
	55.2%	(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 x (.f64 z y))))
	67.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
	60.7%	(.f64 (fma.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 x (/.f64 t (.f64 z z))) x) y)
	58.4%	(.f64 (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 t (.f64 z z)))) y) x)
	21.4%	(.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 z z)) y) (*.f64 a t)) x)
	53.0%	(.f64 (/.f64 (.f64 z y) z) x)
✓	60.2%	(.f64 (/.f64 (.f64 y z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)) x)
	65.2%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a))))) x)
	43.4%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 a)) (/.f64 x (sqrt.f64 (neg.f64 t))))
✓	72.3%	(.f64 (/.f64 (.f64 x z) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t z)) y)
	38.4%	(.f64 (/.f64 (.f64 x z) (*.f64 (sqrt.f64 (neg.f64 t)) (sqrt.f64 a))) y)
✓	34.9%	(.f64 (/.f64 (.f64 x z) (sqrt.f64 (*.f64 a (neg.f64 t)))) y)
	45.1%	(.f64 (/.f64 (.f64 x y) (sqrt.f64 a)) (/.f64 z (sqrt.f64 (neg.f64 t))))
	60.3%	(.f64 (/.f64 (.f64 x y) z) z)
	21.4%	(.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 x (.f64 z z))) (*.f64 a t)) y)
	70.3%	(.f64 (/.f64 y (fma.f64 (/.f64 a z) (.f64 t #s(literal 1/2 binary64)) (neg.f64 z))) (*.f64 x (neg.f64 z)))
✓	48.8%	(.f64 (/.f64 x z) (.f64 y z))
	48.6%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 z x)) (.f64 y z))
	63.2%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (*.f64 x z)))
	35.3%	(.f64 (.f64 (/.f64 z (sqrt.f64 (*.f64 t (neg.f64 a)))) x) y)
	38.3%	(.f64 (.f64 (/.f64 z (sqrt.f64 a)) (/.f64 x (sqrt.f64 (neg.f64 t)))) y)
✓	65.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 x z))
	56.5%	(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) z) y)
	61.5%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a)))) y) (*.f64 x z))
	72.2%	(.f64 (.f64 (neg.f64 z) (/.f64 y (fma.f64 (/.f64 a z) (*.f64 t #s(literal 1/2 binary64)) (neg.f64 z)))) x)
	59.0%	(.f64 (.f64 x (neg.f64 y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a t) (.f64 z z)) #s(literal -1 binary64)))
✓	65.1%	(.f64 (.f64 x z) (/.f64 y z))
	43.5%	(.f64 z (.f64 (/.f64 x (*.f64 (sqrt.f64 (neg.f64 t)) (sqrt.f64 a))) y))
✓	38.3%	(.f64 z (.f64 (/.f64 x (sqrt.f64 (*.f64 t (neg.f64 a)))) y))
	40.0%	(.f64 x (/.f64 (.f64 z y) (sqrt.f64 (neg.f64 (*.f64 a t)))))
	37.9%	(.f64 x (.f64 (/.f64 y (sqrt.f64 (neg.f64 (*.f64 a t)))) z))
✓	67.3%	(*.f64 x y)

Compiler

Compiled 1 517 to 678 computations (55.3% saved)

regimes166.0ms (1.2%)

Memory

-2.0MiB live, 391.8MiB allocated

Counts

71 → 3

Calls

Call 1

Inputs
(*.f64 x y)
(.f64 (.f64 x z) (/.f64 y z))
(.f64 (.f64 y z) (/.f64 x z))
(.f64 (/.f64 x z) (.f64 y z))
(.f64 (/.f64 (.f64 x y) z) z)
(.f64 (/.f64 (.f64 z y) z) x)
(/.f64 (.f64 (.f64 x y) z) z)
(/.f64 (.f64 (.f64 x z) y) z)
(/.f64 (.f64 (.f64 y z) x) z)
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(.f64 (neg.f64 x) (/.f64 (.f64 y z) (neg.f64 z)))
(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) z) y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) x) (*.f64 y z))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 x z))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (*.f64 y z)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (*.f64 x z)))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (*.f64 x z) (/.f64 z y))
(/.f64 (*.f64 z y) (/.f64 z x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 z x)) (.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 x (.f64 z y))))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 x (.f64 z z))) (*.f64 a t)) y)
(.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 z z)) y) (*.f64 a t)) x)
(/.f64 (.f64 #s(literal -2 binary64) (.f64 x (.f64 y (.f64 z z)))) (*.f64 a t))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (.f64 x t)) (.f64 z z)) x) y)
(.f64 (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 t (.f64 z z)))) y) x)
(.f64 (fma.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 x (/.f64 t (.f64 z z))) x) y)
(.f64 x (.f64 z (/.f64 y (sqrt.f64 (*.f64 t (neg.f64 a))))))
(.f64 x (.f64 (/.f64 y (sqrt.f64 (neg.f64 (*.f64 a t)))) z))
(.f64 x (/.f64 (.f64 z y) (sqrt.f64 (neg.f64 (*.f64 a t)))))
(.f64 z (.f64 (/.f64 x (sqrt.f64 (*.f64 t (neg.f64 a)))) y))
(.f64 (.f64 y (/.f64 z (sqrt.f64 (*.f64 t (neg.f64 a))))) x)
(.f64 (.f64 (/.f64 z (sqrt.f64 (*.f64 t (neg.f64 a)))) x) y)
(.f64 (/.f64 x (sqrt.f64 (.f64 a (neg.f64 t)))) (*.f64 y z))
(.f64 (/.f64 (.f64 x z) (sqrt.f64 (*.f64 a (neg.f64 t)))) y)
(/.f64 x (*.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (*.f64 a (neg.f64 t))))
(.f64 (.f64 x (neg.f64 y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a t) (.f64 z z)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 x y) z) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a z)) t))
(fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z)) (*.f64 x y))
(.f64 (/.f64 (.f64 x z) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t z)) y)
(.f64 (/.f64 (.f64 y z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)) x)
(/.f64 (.f64 (.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
(.f64 (.f64 x z) (/.f64 y (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
(.f64 (.f64 y z) (/.f64 x (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
(.f64 (.f64 (/.f64 z (sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a))))) x) y)
(.f64 (/.f64 x (sqrt.f64 (fma.f64 z z (.f64 t (neg.f64 a))))) (*.f64 y z))
(.f64 (/.f64 (.f64 x y) (sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a))))) z)
(.f64 (/.f64 (.f64 x z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) y)
(.f64 (/.f64 (.f64 y z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) x)
(.f64 (/.f64 (.f64 y z) (sqrt.f64 (fma.f64 z z (*.f64 t (neg.f64 a))))) x)
(/.f64 (.f64 x y) (/.f64 (sqrt.f64 (.f64 a (neg.f64 t))) z))
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
(.f64 (.f64 (neg.f64 z) (/.f64 y (fma.f64 (/.f64 a z) (*.f64 t #s(literal 1/2 binary64)) (neg.f64 z)))) x)
(.f64 (/.f64 y (fma.f64 (/.f64 a z) (.f64 t #s(literal 1/2 binary64)) (neg.f64 z))) (*.f64 x (neg.f64 z)))
(.f64 z (.f64 (/.f64 x (*.f64 (sqrt.f64 (neg.f64 t)) (sqrt.f64 a))) y))
(.f64 (/.f64 (.f64 x z) (*.f64 (sqrt.f64 (neg.f64 t)) (sqrt.f64 a))) y)
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a)))) y) (*.f64 x z))
(.f64 (.f64 x (neg.f64 y)) (.f64 z (/.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z))))
(/.f64 (.f64 x y) (/.f64 (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a))) z))
(.f64 (.f64 (/.f64 z (sqrt.f64 a)) (/.f64 x (sqrt.f64 (neg.f64 t)))) y)
(.f64 (/.f64 (.f64 x y) (sqrt.f64 a)) (/.f64 z (sqrt.f64 (neg.f64 t))))
(.f64 (/.f64 (.f64 y z) (sqrt.f64 a)) (/.f64 x (sqrt.f64 (neg.f64 t))))
(/.f64 (/.f64 (.f64 y (.f64 x z)) (sqrt.f64 a)) (sqrt.f64 (neg.f64 t)))
(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (.f64 z (.f64 z (fma.f64 (neg.f64 a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 x (.f64 y z)))) (-.f64 (.f64 z z) (.f64 t a)))
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal 4 binary64))) (.f64 t (.f64 a a))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 x (.f64 y (.f64 z z))) a))) t)
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z) (.f64 x (.f64 y z)))) #s(literal -1 binary64)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -1 binary64))) z) (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z))

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

Calls

8 calls:

22.0ms	t
21.0ms	(*.f64 t a)
20.0ms	x
20.0ms	y
20.0ms	a

Results

Accuracy	Segments	Branch
75.1%	1	`x`
75.1%	1	`y`
95.2%	3	`z`
78.8%	3	`t`
75.1%	1	`a`
93.0%	4	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
75.1%	1	`(*.f64 x y)`
86.2%	3	`(*.f64 t a)`

Compiler

Compiled 65 to 49 computations (24.6% saved)

regimes23.0ms (0.2%)

Memory

0.6MiB live, 75.3MiB allocated

Counts

64 → 2

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
92.3%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes16.0ms (0.1%)

Memory

34.2MiB live, 34.2MiB allocated

Counts

51 → 2

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
91.7%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes39.0ms (0.3%)

Memory

-18.6MiB live, 29.3MiB allocated

Counts

48 → 2

Calls

Call 1

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

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

Calls

1 calls:

37.0ms

Results

Accuracy	Segments	Branch
91.7%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes46.0ms (0.3%)

Memory

-10.8MiB live, 59.9MiB allocated

Counts

46 → 3

Calls

Call 1

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

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

Calls

2 calls:

31.0ms	z
11.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Results

Accuracy	Segments	Branch
85.9%	3	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
90.8%	3	`z`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes49.0ms (0.4%)

Memory

25.6MiB live, 100.7MiB allocated

Counts

45 → 2

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
15.0ms	z
12.0ms	(*.f64 t a)

Results

Accuracy	Segments	Branch
81.1%	3	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
77.3%	2	`(*.f64 t a)`
84.2%	2	`z`

Compiler

Compiled 33 to 23 computations (30.3% saved)

regimes12.0ms (0.1%)

Memory

-9.5MiB live, 27.7MiB allocated

Counts

31 → 2

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
81.7%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes83.0ms (0.6%)

Memory

26.0MiB live, 218.0MiB allocated

Counts

29 → 2

Calls

Call 1

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

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

Calls

8 calls:

16.0ms	t
14.0ms	(*.f64 t a)
10.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
9.0ms	y
8.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
70.6%	2	`x`
70.7%	2	`(*.f64 x y)`
69.6%	2	`y`
67.3%	1	`a`
67.3%	1	`t`
69.3%	2	`(*.f64 t a)`
71.6%	2	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
72.0%	2	`z`

Compiler

Compiled 65 to 49 computations (24.6% saved)

regimes9.0ms (0.1%)

Memory

-14.8MiB live, 24.2MiB allocated

Counts

24 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
72.0%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes8.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs
(/.f64 (.f64 (.f64 x z) y) z)
(*.f64 x y)

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
71.7%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes12.0ms (0.1%)

Memory

-8.7MiB live, 32.0MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(.f64 (.f64 x z) (/.f64 y z))
(.f64 (.f64 y z) (/.f64 x z))
(.f64 (/.f64 x z) (.f64 y z))
(.f64 (/.f64 (.f64 x y) z) z)
(.f64 (/.f64 (.f64 z y) z) x)
(/.f64 (.f64 (.f64 x y) z) z)

Outputs
(/.f64 (.f64 (.f64 x y) z) z)
(*.f64 x y)

Calls

4 calls:

4.0ms	z
3.0ms	x
3.0ms	(*.f64 x y)
2.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Results

Accuracy	Segments	Branch
70.0%	2	`x`
70.3%	2	`(*.f64 x y)`
70.5%	2	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
70.5%	2	`z`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes16.0ms (0.1%)

Memory

2.7MiB live, 41.9MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(.f64 (.f64 x z) (/.f64 y z))
(.f64 (.f64 y z) (/.f64 x z))
(.f64 (/.f64 x z) (.f64 y z))
(.f64 (/.f64 (.f64 x y) z) z)
(.f64 (/.f64 (.f64 z y) z) x)

Outputs
(.f64 (.f64 x z) (/.f64 y z))
(*.f64 x y)

Calls

6 calls:

3.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
2.0ms	(*.f64 x y)
2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
67.3%	1	`(*.f64 t a)`
67.3%	1	`y`
67.3%	1	`x`
67.3%	1	`(*.f64 x y)`
67.3%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
68.9%	2	`z`

Compiler

Compiled 53 to 39 computations (26.4% saved)

regimes1.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x y)

Outputs
(*.f64 x y)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
67.3%	1	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch24.0ms (0.2%)

Memory

-8.0MiB live, 70.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	2.2148847727744294e+91	2.0450989271816334e+95
20.0ms	5.614128899398343e-150	1.8220283946636426e-143

Samples

12.0ms	160×	0	valid
3.0ms	43×	0	invalid

Compiler

Compiled 393 to 274 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (57.2% of total)

ival-div: 2.0ms (22.9% of total)

ival-sub: 1.0ms (11.4% of total)

ival-sqrt: 1.0ms (11.4% of total)

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

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

bsearch17.0ms (0.1%)

Memory

-45.1MiB live, 19.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	6.554457990178757e+41	8.093324534343896e+41

Samples

14.0ms	48×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 109 to 80 computations (26.6% saved)

Precisions

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

ival-sub: 11.0ms (87.9% of total)

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

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

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

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

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

bsearch6.0ms (0%)

Memory

19.1MiB live, 19.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	6.554457990178757e+41	8.093324534343896e+41

Samples

3.0ms	48×	0	valid
0.0ms	3×	0	invalid

Compiler

Compiled 109 to 80 computations (26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (48% of total)

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

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

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

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

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

bsearch6.0ms (0%)

Memory

12.9MiB live, 12.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	6.554457990178757e+41	8.093324534343896e+41

Samples

3.0ms	48×	0	valid
0.0ms	2×	0	invalid

Compiler

Compiled 109 to 80 computations (26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (49.7% of total)

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

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

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

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

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

bsearch29.0ms (0.2%)

Memory

-11.5MiB live, 65.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.2148847727744294e+91	2.0450989271816334e+95
12.0ms	5.243277035705042e-113	1.1993745071970276e-112

Samples

16.0ms	208×	0	valid
3.0ms	24×	0	invalid

Compiler

Compiled 439 to 305 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (53.3% of total)

ival-sqrt: 2.0ms (21.3% of total)

ival-sub: 1.0ms (10.7% of total)

ival-div: 1.0ms (10.7% of total)

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

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

bsearch13.0ms (0.1%)

Memory

-7.5MiB live, 30.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	8.568360540739353e-44	2.629572142231005e-43

Samples

7.0ms	80×	0	valid
1.0ms	14×	0	invalid

Compiler

Compiled 152 to 115 computations (24.3% saved)

Precisions

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

ival-div: 2.0ms (37.2% of total)

ival-mult: 2.0ms (37.2% of total)

ival-sqrt: 1.0ms (18.6% of total)

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

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

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

bsearch15.0ms (0.1%)

Memory

-13.4MiB live, 26.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.568360540739353e-44	2.629572142231005e-43

Samples

6.0ms	80×	0	valid
1.0ms	16×	0	invalid

Compiler

Compiled 152 to 115 computations (24.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (51.2% of total)

ival-div: 1.0ms (25.6% of total)

ival-sqrt: 1.0ms (25.6% of total)

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

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

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

bsearch21.0ms (0.2%)

Memory

9.6MiB live, 47.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.7940899397449005e-127	1.3504540658908334e-122

Samples

11.0ms	128×	0	valid
3.0ms	46×	0	invalid

Compiler

Compiled 246 to 180 computations (26.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (46.1% of total)

ival-sqrt: 3.0ms (34.6% of total)

ival-sub: 1.0ms (11.5% of total)

ival-div: 1.0ms (11.5% of total)

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

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

bsearch23.0ms (0.2%)

Memory

13.5MiB live, 51.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.684542541774408e-132	2.7940899397449005e-127

Samples

10.0ms	144×	0	valid
5.0ms	45×	0	invalid

Compiler

Compiled 274 to 200 computations (27% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (43% of total)

ival-sub: 3.0ms (32.2% of total)

ival-div: 1.0ms (10.7% of total)

ival-sqrt: 1.0ms (10.7% of total)

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

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

bsearch20.0ms (0.1%)

Memory

8.8MiB live, 46.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	3.501473039583589e-136	1.684542541774408e-132

Samples

9.0ms	128×	0	valid
4.0ms	39×	0	invalid

Compiler

Compiled 198 to 148 computations (25.3% saved)

Precisions

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

ival-mult: 4.0ms (47.4% of total)

ival-div: 2.0ms (23.7% of total)

ival-sub: 1.0ms (11.9% of total)

ival-sqrt: 1.0ms (11.9% of total)

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

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

bsearch23.0ms (0.2%)

Memory

1.9MiB live, 43.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	3.501473039583589e-136	1.684542541774408e-132

Samples

9.0ms	128×	0	valid
7.0ms	25×	0	invalid

Compiler

Compiled 198 to 148 computations (25.3% saved)

Precisions

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

ival-mult: 3.0ms (49.4% of total)

ival-sub: 1.0ms (16.5% of total)

ival-div: 1.0ms (16.5% of total)

ival-sqrt: 1.0ms (16.5% of total)

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

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

bsearch19.0ms (0.1%)

Memory

8.7MiB live, 46.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.674832898797758e-199	4.63223427444689e-197

Samples

9.0ms	112×	0	valid
3.0ms	48×	0	invalid

Compiler

Compiled 176 to 132 computations (25% saved)

Precisions

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

ival-mult: 4.0ms (50.4% of total)

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

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

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

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

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

simplify15.0ms (0.1%)

Memory

3.5MiB live, 37.8MiB allocated

Algorithm

1×	egg-herbie

Rules

50×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	257
1	136	257
2	144	257
3	147	257

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 4462922484186851/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 a)) (/.f64 x (sqrt.f64 (neg.f64 t)))) (if (<=.f64 z #s(literal 40000000000000003182492994451219885726249045606676420637545759893951723008807044536567070720 binary64)) (/.f64 (.f64 x y) (/.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) z)) (.f64 x y)))
(if (<=.f64 z #s(literal 750000000000000072349910736225071179759616 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) x) (*.f64 x y))
(if (<=.f64 z #s(literal 669999999999999963534150382721674470490112 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 z z (.f64 t (neg.f64 a))))) (.f64 y z)) (.f64 x y))
(if (<=.f64 z #s(literal 800000000000000004960069160326226555961344 binary64)) (.f64 (.f64 y z) (/.f64 x (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) (*.f64 x y))
(if (<=.f64 z #s(literal 4678880108828875/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 (neg.f64 (.f64 a t))))) (if (<=.f64 z #s(literal 18500000000000000744583949411796844644084934007266923341512822769897879018730308548457924657152 binary64)) (.f64 (.f64 x z) (/.f64 y (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) (.f64 x y)))
(if (<=.f64 z #s(literal 1945901537969871/12554203470773361527671578846415332832204710888928069025792 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 (neg.f64 (.f64 a t))))) (.f64 x y))
(if (<=.f64 z #s(literal 4067561924530569/25108406941546723055343157692830665664409421777856138051584 binary64)) (.f64 x (.f64 z (/.f64 y (sqrt.f64 (.f64 t (neg.f64 a)))))) (.f64 x y))
(if (<=.f64 z #s(literal 3572557697657767/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) (.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 z z)) y) (.f64 a t)) x) (.f64 x y))
(if (<=.f64 z #s(literal 413631682916869/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272 binary64)) (.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 x (.f64 z z))) (.f64 a t)) y) (.f64 x y))
(if (<=.f64 z #s(literal 8439210160982241/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448 binary64)) (/.f64 (.f64 (.f64 x z) y) z) (*.f64 x y))
(if (<=.f64 z #s(literal 8183476519740355/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (/.f64 (.f64 (.f64 x y) z) z) (*.f64 x y))
(if (<=.f64 z #s(literal 2693189581592767/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128 binary64)) (.f64 (.f64 x z) (/.f64 y z)) (*.f64 x y))
(*.f64 x y)

Outputs
(if (<=.f64 z #s(literal 4462922484186851/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 a)) (/.f64 x (sqrt.f64 (neg.f64 t)))) (if (<=.f64 z #s(literal 40000000000000003182492994451219885726249045606676420637545759893951723008807044536567070720 binary64)) (/.f64 (.f64 x y) (/.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))) z)) (.f64 x y)))
(if (<=.f64 z #s(literal 4462922484186851/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208 binary64)) (.f64 (/.f64 (.f64 z y) (sqrt.f64 a)) (/.f64 x (sqrt.f64 (neg.f64 t)))) (if (<=.f64 z #s(literal 40000000000000003182492994451219885726249045606676420637545759893951723008807044536567070720 binary64)) (/.f64 (.f64 y x) (/.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 a t))) z)) (.f64 y x)))
(if (<=.f64 z #s(literal 750000000000000072349910736225071179759616 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) x) (*.f64 x y))
(if (<=.f64 z #s(literal 750000000000000072349910736225071179759616 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 a t))))) (*.f64 y x))
(if (<=.f64 z #s(literal 669999999999999963534150382721674470490112 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 z z (.f64 t (neg.f64 a))))) (.f64 y z)) (.f64 x y))
(if (<=.f64 z #s(literal 669999999999999963534150382721674470490112 binary64)) (.f64 (.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 z z (neg.f64 (.f64 a t)))))) (.f64 y x))
(if (<=.f64 z #s(literal 800000000000000004960069160326226555961344 binary64)) (.f64 (.f64 y z) (/.f64 x (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) (*.f64 x y))
(if (<=.f64 z #s(literal 800000000000000004960069160326226555961344 binary64)) (.f64 (.f64 z y) (/.f64 x (sqrt.f64 (-.f64 (.f64 z z) (.f64 a t))))) (*.f64 y x))
(if (<=.f64 z #s(literal 4678880108828875/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 (neg.f64 (.f64 a t))))) (if (<=.f64 z #s(literal 18500000000000000744583949411796844644084934007266923341512822769897879018730308548457924657152 binary64)) (.f64 (.f64 x z) (/.f64 y (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) (.f64 x y)))
(if (<=.f64 z #s(literal 4678880108828875/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 (neg.f64 (.f64 a t))))) (if (<=.f64 z #s(literal 18500000000000000744583949411796844644084934007266923341512822769897879018730308548457924657152 binary64)) (.f64 (.f64 z x) (/.f64 y (sqrt.f64 (-.f64 (.f64 z z) (.f64 a t))))) (.f64 y x)))
(if (<=.f64 z #s(literal 1945901537969871/12554203470773361527671578846415332832204710888928069025792 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 (neg.f64 (.f64 a t))))) (.f64 x y))
(if (<=.f64 z #s(literal 1945901537969871/12554203470773361527671578846415332832204710888928069025792 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 (neg.f64 (.f64 a t))))) (.f64 y x))
(if (<=.f64 z #s(literal 4067561924530569/25108406941546723055343157692830665664409421777856138051584 binary64)) (.f64 x (.f64 z (/.f64 y (sqrt.f64 (.f64 t (neg.f64 a)))))) (.f64 x y))
(if (<=.f64 z #s(literal 4067561924530569/25108406941546723055343157692830665664409421777856138051584 binary64)) (.f64 x (.f64 z (/.f64 y (sqrt.f64 (neg.f64 (.f64 a t)))))) (.f64 y x))
(if (<=.f64 z #s(literal 3572557697657767/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) (.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 z z)) y) (.f64 a t)) x) (.f64 x y))
(if (<=.f64 z #s(literal 3572557697657767/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) (.f64 x (/.f64 (.f64 y (.f64 (.f64 z z) #s(literal -2 binary64))) (.f64 a t))) (.f64 y x))
(if (<=.f64 z #s(literal 413631682916869/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272 binary64)) (.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 x (.f64 z z))) (.f64 a t)) y) (.f64 x y))
(if (<=.f64 z #s(literal 413631682916869/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272 binary64)) (.f64 y (/.f64 (.f64 #s(literal -2 binary64) (.f64 x (.f64 z z))) (.f64 a t))) (.f64 y x))
(if (<=.f64 z #s(literal 8439210160982241/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448 binary64)) (/.f64 (.f64 (.f64 x z) y) z) (*.f64 x y))
(if (<=.f64 z #s(literal 8439210160982241/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448 binary64)) (/.f64 (.f64 y (.f64 z x)) z) (*.f64 y x))
(if (<=.f64 z #s(literal 8183476519740355/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (/.f64 (.f64 (.f64 x y) z) z) (*.f64 x y))
(if (<=.f64 z #s(literal 8183476519740355/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (/.f64 (.f64 z (.f64 y x)) z) (*.f64 y x))
(if (<=.f64 z #s(literal 2693189581592767/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128 binary64)) (.f64 (.f64 x z) (/.f64 y z)) (*.f64 x y))
(if (<=.f64 z #s(literal 2693189581592767/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128 binary64)) (.f64 (.f64 z x) (/.f64 y z)) (*.f64 y x))
(*.f64 x y)
(*.f64 y x)

soundness1.5s (11.2%)

Memory

-24.1MiB live, 1 078.4MiB allocated

Rules

8 704×	`-lowering-.f32`
8 704×	`-lowering-.f64`
7 978×	`-lowering-.f32`
7 978×	`-lowering-.f64`
7 510×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	661	8914
1	2167	8870
2	7361	8862
0	8017	8564
0	32	143
1	159	139
2	1061	139
3	7595	139
0	8414	133
0	964	10612
1	3246	10404
0	8452	10050
0	23	106
1	118	106
2	807	106
0	8284	104
0	495	3663
1	1609	3591
2	6478	3573
0	8266	3461
0	36	153
1	161	147
2	980	136
0	8837	133
0	12	37
1	49	37
2	313	37
3	2693	37
0	8407	37

Stop Event

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

Compiler

Compiled 885 to 513 computations (42% saved)

preprocess899.0ms (6.6%)

Memory: 2.3MiB live, 604.7MiB allocated
Compiler: Compiled 1 470 to 752 computations (48.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze288.0ms (2.1%)

sample1.7s (12.5%)

preprocess215.0ms (1.6%)

explain669.0ms (4.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify108.0ms (0.8%)

localize43.0ms (0.3%)

series185.0ms (1.4%)

rewrite402.0ms (2.9%)

simplify356.0ms (2.6%)

eval72.0ms (0.5%)

prune90.0ms (0.7%)

simplify176.0ms (1.3%)

localize102.0ms (0.7%)

series100.0ms (0.7%)

rewrite772.0ms (5.7%)

simplify617.0ms (4.5%)

eval255.0ms (1.9%)

prune272.0ms (2%)

simplify219.0ms (1.6%)

localize104.0ms (0.8%)

series55.0ms (0.4%)

rewrite641.0ms (4.7%)

simplify568.0ms (4.2%)

eval236.0ms (1.7%)

prune297.0ms (2.2%)

simplify261.0ms (1.9%)

localize164.0ms (1.2%)

series59.0ms (0.4%)

rewrite433.0ms (3.2%)

simplify435.0ms (3.2%)

eval322.0ms (2.4%)

prune300.0ms (2.2%)

regimes166.0ms (1.2%)

regimes23.0ms (0.2%)

regimes16.0ms (0.1%)

regimes39.0ms (0.3%)

regimes46.0ms (0.3%)

regimes49.0ms (0.4%)

regimes12.0ms (0.1%)

regimes83.0ms (0.6%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes12.0ms (0.1%)

regimes16.0ms (0.1%)

regimes1.0ms (0%)

bsearch24.0ms (0.2%)

bsearch17.0ms (0.1%)

bsearch6.0ms (0%)

bsearch6.0ms (0%)

bsearch29.0ms (0.2%)

bsearch13.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch21.0ms (0.2%)

bsearch23.0ms (0.2%)

bsearch20.0ms (0.1%)

bsearch23.0ms (0.2%)

bsearch19.0ms (0.1%)

simplify15.0ms (0.1%)

soundness1.5s (11.2%)

preprocess899.0ms (6.6%)

end0.0ms (0%)

Profiling