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

analyze385.0ms (3%)

Memory

-14.5MiB live, 279.8MiB 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)

sample1.6s (12.2%)

Memory

44.0MiB live, 2 426.2MiB allocated

Samples

811.0ms	8 256×	0	valid
242.0ms	1 930×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 615.0ms

ival-mult: 386.0ms (62.7% of total)

ival-sqrt: 87.0ms (14.1% of total)

ival-sub: 67.0ms (10.9% of total)

ival-div: 63.0ms (10.2% of total)

ival-true: 8.0ms (1.3% of total)

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

Bogosity

preprocess137.0ms (1.1%)

Memory

-6.4MiB live, 193.3MiB allocated

Algorithm

2×	egg-herbie

Rules

1 536×	`unsub-neg`
1 196×	`div-sub`
1 182×	`times-frac`
1 014×	`associate-/l*`
866×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	299
1	260	299
2	625	299
3	1669	299
4	4342	299
5	6479	299
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)))))

Call 2

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

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

Symmetry

(negabs x)

(negabs y)

(negabs z)

(sort x y)

(sort t a)

explain147.0ms (1.1%)

Memory

-15.7MiB live, 381.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
111	-	2	(2.1671866154391654e-226 5.744678554748556e+267 1.3566688160453642e-157 -1.0648723835019177e-211 1.2720825380480514e-143)	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`
42	-	1	(2.5648767538153858e-151 15245111.22854617 8.460104978436388e-181 -4.927580714235535e-241 8.488424088128293e+58)	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
26	-	5	(8.077087934336147e-236 1.4508016540950625e-83 3351687.1408036198 3.1077612430031135e-240 1.3555505942856812e-173)	`(.f64 (.f64 x y) z)`
7	-	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	101	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	overflow	101
↳	`(*.f64 t a)`	overflow	21
↳	`(*.f64 z z)`	overflow	92
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	o/n	33	0
↳	`(*.f64 x y)`	overflow	30
↳	`(.f64 (.f64 x y) z)`	overflow	54
`*.f64`	`(.f64 (.f64 x y) z)`	*nu**	14	0
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	u/n	8	0
↳	`(*.f64 x y)`	underflow	28
↳	`(.f64 (.f64 x y) z)`	underflow	34
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`	uflow-rescue	8	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	underflow	8
↳	`(*.f64 t a)`	underflow	41
↳	`(*.f64 z z)`	underflow	38
`-.f64`	`(-.f64 (.f64 z z) (.f64 t a))`	nan-rescue	7	0
↳	`(*.f64 z z)`	overflow	92
↳	`(*.f64 t a)`	overflow	21
`*.f64`	`(.f64 (.f64 x y) z)`	*no**	7	0

Confusion

	Predicted +	Predicted -
+	112	2
-	18	124

Precision

0.8615384615384616

Recall

0.9824561403508771

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	112	0	2
-	18	0	124

Precision?

0.8615384615384616

Recall?

0.9824561403508771

Freqs

test

number	freq
0	126
1	85
2	42
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

60.0ms

512×

valid

Compiler

Compiled 138 to 52 computations (62.3% saved)

Precisions

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

ival-mult: 17.0ms (47.2% of total)

ival-sub: 8.0ms (22.2% of total)

ival-sqrt: 7.0ms (19.4% of total)

ival-div: 3.0ms (8.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.7%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify87.0ms (0.7%)

Memory

-3.8MiB live, 116.3MiB 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

localize36.0ms (0.3%)

Memory

14.8MiB live, 54.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.8%	(-.f64 (.f64 z z) (.f64 t a))
✓	accuracy	91.6%	(.f64 (.f64 x y) z)
✓	accuracy	84.4%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
✓	accuracy	59.9%	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))

Samples

26.0ms

256×

valid

Compiler

Compiled 50 to 14 computations (72% saved)

Precisions

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

ival-mult: 12.0ms (72.8% of total)

ival-div: 2.0ms (12.1% of total)

ival-sqrt: 2.0ms (12.1% of total)

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

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

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

series38.0ms (0.3%)

Memory

8.5MiB live, 85.4MiB 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
4.0ms	x	@	-inf	(* x y)
4.0ms	z	@	0	(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
2.0ms	x	@	0	(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
2.0ms	t	@	inf	(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
2.0ms	y	@	0	(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))

rewrite346.0ms (2.7%)

Memory

7.2MiB live, 557.7MiB 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))))))
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(.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)))))
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(.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))))
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(.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))))))

simplify487.0ms (3.8%)

Memory

-5.8MiB live, 665.7MiB 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))))))))
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(*.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 z (.f64 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 z (.f64 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 z (.f64 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 z (.f64 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 z (.f64 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 z (.f64 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))))
(.f64 t (-.f64 (/.f64 (.f64 z z) t) a))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(.f64 t (-.f64 (/.f64 (.f64 z z) t) a))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(.f64 t (-.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 a (-.f64 (/.f64 (.f64 z z) a) t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(.f64 a (-.f64 (/.f64 (.f64 z z) a) t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(.f64 a (-.f64 (/.f64 (.f64 z z) a) t))

eval101.0ms (0.8%)

Memory: 21.7MiB live, 138.7MiB allocated
Compiler: Compiled 21 980 to 1 796 computations (91.8% saved)

prune611.0ms (4.7%)

Memory

-24.4MiB live, 175.3MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	558	14	572
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	559	14	573

Accuracy

96.4%

Counts

573 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.5%	(fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z)) (*.f64 x y))
▶	69.0%	(/.f64 (.f64 (.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
	66.2%	(/.f64 (.f64 (.f64 x y) z) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 a (/.f64 t (*.f64 z z))) z) z))
	57.5%	(/.f64 (.f64 (.f64 x y) z) (pow.f64 (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	31.1%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (*.f64 a (neg.f64 t))))
▶	67.5%	(/.f64 (.f64 (.f64 x y) z) z)
	60.4%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) x)
	57.7%	(.f64 (/.f64 (.f64 x z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) y)
▶	59.7%	(.f64 (/.f64 (.f64 x y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) z)
	61.7%	(.f64 (/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 x y))
	57.0%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a)))) y) (*.f64 x z))
▶	56.3%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a)))) x) (*.f64 y z))
	57.3%	(.f64 (.f64 x z) (/.f64 y (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
▶	75.5%	(*.f64 x y)

Compiler

Compiled 516 to 332 computations (35.7% saved)

simplify188.0ms (1.5%)

Memory

-15.9MiB live, 330.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

4 296×	`/-lowering-/.f32`
4 296×	`/-lowering-/.f64`
2 300×	`neg-lowering-neg.f64`
2 300×	`neg-lowering-neg.f32`
2 136×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	189
1	58	189
2	134	189
3	247	189
4	638	189
5	1539	189
6	2753	189
7	3782	189
8	7553	189
0	8692	187

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

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

localize472.0ms (3.7%)

Memory

8.3MiB live, 167.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.7%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a)))
✓	accuracy	97.8%	(-.f64 (.f64 z z) (.f64 t a))
✓	accuracy	68.3%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a)))) x) (*.f64 y z))
✓	accuracy	61.0%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a))))
✓	accuracy	97.8%	(-.f64 (.f64 z z) (.f64 t a))
✓	accuracy	92.8%	(/.f64 (.f64 x y) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a))))
✓	accuracy	83.2%	(.f64 (/.f64 (.f64 x y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) z)
✓	accuracy	59.9%	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
✓	accuracy	100.0%	(*.f64 t #s(literal -1/2 binary64))
✓	accuracy	98.1%	(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
✓	accuracy	91.6%	(.f64 (.f64 x y) z)
✓	accuracy	84.3%	(/.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	91.6%	(.f64 (.f64 x y) z)
✓	accuracy	81.3%	(/.f64 (.f64 (.f64 x y) z) z)
✓	accuracy	100.0%	(*.f64 x y)

Samples

47.0ms

256×

valid

Compiler

Compiled 193 to 28 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 14.0ms (49.9% of total)

ival-div: 8.0ms (28.5% of total)

ival-sqrt: 3.0ms (10.7% of total)

ival-sub: 1.0ms (3.6% of total)

ival-add: 1.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series350.0ms (2.7%)

Memory

10.8MiB live, 90.6MiB allocated

Counts

14 → 576

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

144 calls:

Time	Variable		Point	Expression
150.0ms	t	@	inf	(+ (* a (/ (* t -1/2) z)) z)
149.0ms	a	@	-inf	(* (sqrt (/ 1 (- (* z z) (* t a)))) x)
6.0ms	t	@	-inf	(/ (* x y) (sqrt (- (* z z) (* t a))))
3.0ms	z	@	0	(* (sqrt (/ 1 (- (* z z) (* t a)))) x)
1.0ms	x	@	0	(/ (* (* x y) z) (+ (* a (/ (* t -1/2) z)) z))

rewrite388.0ms (3%)

Memory

22.8MiB live, 531.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 882×	`-lowering-.f32`
5 882×	`-lowering-.f64`
5 868×	`accelerator-lowering-fma.f32`
5 868×	`accelerator-lowering-fma.f64`
3 822×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	124
1	121	121
2	772	121
0	8049	119

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 836

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

simplify458.0ms (3.5%)

Memory

-6.6MiB live, 740.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 226×	`-lowering-.f32`
8 226×	`-lowering-.f64`
6 038×	`accelerator-lowering-fma.f32`
6 038×	`accelerator-lowering-fma.f64`
4 238×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1199	13524
1	3966	13197
0	8135	12756

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

Calls

Call 1

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

eval499.0ms (3.9%)

Memory: -113.4MiB live, 379.6MiB allocated
Compiler: Compiled 52 183 to 4 247 computations (91.9% saved)

prune643.0ms (5%)

Memory

-29.7MiB live, 512.7MiB allocated

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	1 837	28	1 865
Fresh	5	4	9
Picked	3	2	5
Done	0	0	0
Total	1 845	34	1 879

Accuracy

96.9%

Counts

1 879 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.5%	(fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z)) (*.f64 x y))
	59.7%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z)) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y z))))
	58.6%	(/.f64 (.f64 (.f64 y z) x) z)
	65.7%	(/.f64 (.f64 (.f64 x z) y) z)
▶	69.0%	(/.f64 (.f64 (.f64 x y) z) (fma.f64 (/.f64 a (/.f64 z t)) #s(literal -1/2 binary64) z))
✓	69.0%	(/.f64 (.f64 (.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
	57.5%	(/.f64 (.f64 (.f64 x y) z) (pow.f64 (pow.f64 (-.f64 (.f64 z z) (.f64 t a)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	64.1%	(/.f64 (.f64 (.f64 x y) z) (.f64 (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z) (.f64 (fma.f64 a (/.f64 t (.f64 z #s(literal -2 binary64))) (neg.f64 z)) (/.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 (*.f64 t #s(literal 1/2 binary64)) z) z)))))
	31.1%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (*.f64 a (neg.f64 t))))
	64.9%	(/.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))
	74.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
	61.2%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 (fma.f64 a (neg.f64 t) (*.f64 z z)))) x)
	32.0%	(.f64 (/.f64 (.f64 x y) (sqrt.f64 (*.f64 a (neg.f64 t)))) z)
	62.4%	(.f64 (/.f64 (.f64 x y) z) z)
▶	81.0%	(.f64 (/.f64 z (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z)) (*.f64 x y))
	62.5%	(.f64 (/.f64 z (sqrt.f64 (fma.f64 a (neg.f64 t) (.f64 z z)))) (*.f64 x y))
	47.6%	(.f64 (/.f64 x z) (.f64 y z))
	47.6%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 z x)) (.f64 y z))
	65.7%	(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 y (*.f64 x (neg.f64 z))))
	59.1%	(.f64 (.f64 (/.f64 y (sqrt.f64 (fma.f64 a (neg.f64 t) (*.f64 z z)))) x) z)
	75.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z)) (.f64 x z)) y)
▶	75.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)) y)
	75.4%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
	21.2%	(.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (.f64 z z) (.f64 t (.f64 a a))) (/.f64 #s(literal 1 binary64) a)) (neg.f64 t))) x) (.f64 y z))
	57.0%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a)))) y) (*.f64 x z))
▶	32.0%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (.f64 a t))) x) (.f64 y z))
	72.5%	(.f64 (.f64 x z) (/.f64 y (fma.f64 t (/.f64 a (*.f64 z #s(literal -2 binary64))) z)))
	71.2%	(.f64 (.f64 x z) (/.f64 y z))
	58.3%	(.f64 (neg.f64 x) (/.f64 (.f64 y z) (neg.f64 z)))
	58.2%	(.f64 (neg.f64 x) (.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) z)))
▶	75.1%	(.f64 y (/.f64 (.f64 x z) z))
✓	75.5%	(*.f64 x y)
	15.2%	(.f64 #s(literal -2 binary64) (/.f64 (.f64 x (.f64 y (.f64 z z))) (*.f64 a t)))
	56.5%	(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z) (.f64 x (.f64 y z)))) #s(literal -1 binary64)))

Compiler

Compiled 1 177 to 782 computations (33.6% saved)

simplify161.0ms (1.2%)

Memory

-3.4MiB live, 153.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	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 (/.f64 a (/.f64 z t)) #s(literal -1/2 binary64) z))
✓	cost-diff	384	(/.f64 a (/.f64 z t))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 a t))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 a t)))
✓	cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (.f64 a t))) x)
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (.f64 a t))) x) (.f64 y z))
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)) y)
✓	cost-diff	1344	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x z))
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(.f64 y (/.f64 (.f64 x z) z))
✓	cost-diff	1024	(/.f64 (*.f64 x z) z)
✓	cost-diff	0	(/.f64 a (*.f64 z #s(literal -2 binary64)))
✓	cost-diff	0	(fma.f64 t (/.f64 a (*.f64 z #s(literal -2 binary64))) z)
✓	cost-diff	0	(/.f64 z (fma.f64 t (/.f64 a (*.f64 z #s(literal -2 binary64))) z))
✓	cost-diff	0	(.f64 (/.f64 z (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z)) (*.f64 x y))

Rules

4 368×	`-lowering-.f32`
4 368×	`-lowering-.f64`
2 762×	`associate-*r/`
2 324×	`/-lowering-/.f32`
2 324×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	165
1	82	165
2	192	165
3	356	165
4	1263	165
5	1703	165
6	2059	165
7	2294	165
8	2512	165
9	2515	165
10	2515	165
11	2768	165
12	3037	165
13	3136	165
14	3136	165
15	3136	165
16	7380	165
17	7820	165
18	7865	165
0	8004	160

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize116.0ms (0.9%)

Memory

-7.8MiB live, 147.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	94.8%	(.f64 (.f64 x y) z)
✓	accuracy	93.6%	(/.f64 a (/.f64 z t))
✓	accuracy	91.8%	(/.f64 (.f64 (.f64 x y) z) (fma.f64 (/.f64 a (/.f64 z t)) #s(literal -1/2 binary64) z))
✓	accuracy	99.8%	(.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (.f64 a t))) x)
✓	accuracy	99.3%	(/.f64 #s(literal -1 binary64) (*.f64 a t))
✓	accuracy	91.2%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (.f64 a t))) x) (.f64 y z))
✓	accuracy	88.2%	(sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 a t)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)) y)
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	86.7%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x z))
✓	accuracy	100.0%	(.f64 y (/.f64 (.f64 x z) z))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	86.8%	(/.f64 (*.f64 x z) z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	98.5%	(/.f64 z (fma.f64 t (/.f64 a (*.f64 z #s(literal -2 binary64))) z))
✓	accuracy	98.1%	(fma.f64 t (/.f64 a (*.f64 z #s(literal -2 binary64))) z)
✓	accuracy	95.9%	(.f64 (/.f64 z (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z)) (*.f64 x y))

Samples

41.0ms	161×	0	valid
22.0ms	95×	0	invalid

Compiler

Compiled 182 to 36 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 21.0ms (49% of total)

ival-div: 17.0ms (39.6% of total)

ival-add: 2.0ms (4.7% of total)

ival-sqrt: 2.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series47.0ms (0.4%)

Memory

20.9MiB live, 57.0MiB allocated

Counts

18 → 612

Calls

Call 1

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

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

Calls

153 calls:

Time	Variable		Expression
12.0ms	z	@	(* (* (sqrt (/ -1 (* a t))) x) (* y z))
2.0ms	a	@	(* (* (sqrt (/ -1 (* a t))) x) (* y z))
1.0ms	x	@	(* (* (sqrt (/ -1 (* a t))) x) (* y z))
1.0ms	y	@	(* (* (sqrt (/ -1 (* a t))) x) (* y z))
1.0ms	t	@	(* (* (sqrt (/ -1 (* a t))) x) (* y z))

rewrite297.0ms (2.3%)

Memory

13.6MiB live, 519.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 982×	`accelerator-lowering-fma.f32`
5 982×	`accelerator-lowering-fma.f64`
5 212×	`-lowering-.f32`
5 212×	`-lowering-.f64`
2 942×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	133
1	158	123
2	976	111
0	9014	107

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 915

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 (.f64 z (.f64 x y)) (fma.f64 z (.f64 z z) (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 a (.f64 t a)))) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (/.f64 (.f64 t (.f64 a (.f64 t a))) (.f64 (.f64 z z) #s(literal 4 binary64)))) (.f64 (/.f64 (.f64 z (.f64 x y)) (fma.f64 z (.f64 z z) (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 a (.f64 t a)))) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (-.f64 (.f64 z z) (.f64 (.f64 (*.f64 t a) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 z (.f64 x y)) (-.f64 (/.f64 (.f64 t (.f64 a (.f64 t a))) (.f64 (.f64 z z) #s(literal 4 binary64))) (.f64 z z))) (/.f64 (.f64 t a) (.f64 z #s(literal -2 binary64)))) (.f64 (/.f64 (.f64 z (.f64 x y)) (-.f64 (/.f64 (.f64 t (.f64 a (.f64 t a))) (.f64 (.f64 z z) #s(literal 4 binary64))) (.f64 z z))) (neg.f64 z)))
(+.f64 (.f64 (/.f64 (.f64 z (.f64 x y)) (fma.f64 z (.f64 z z) (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 a (.f64 t a)))) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (-.f64 (.f64 z z) (.f64 (.f64 (.f64 t a) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 z (.f64 x y)) (fma.f64 z (.f64 z z) (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 a (.f64 t a)))) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (/.f64 (.f64 t (.f64 a (.f64 t a))) (.f64 (*.f64 z z) #s(literal 4 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 t (.f64 a (.f64 t a))) (.f64 (.f64 z z) #s(literal 4 binary64))) (/.f64 (.f64 z (.f64 x y)) (fma.f64 z (.f64 z z) (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 a (.f64 t a)))) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64)))))) (.f64 (-.f64 (.f64 z z) (.f64 (.f64 (.f64 t a) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 z (.f64 x y)) (fma.f64 z (.f64 z z) (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 a (.f64 t a)))) (.f64 (.f64 z (*.f64 z z)) #s(literal -8 binary64)))))))
(+.f64 (.f64 (/.f64 (.f64 t a) (.f64 z #s(literal -2 binary64))) (/.f64 (.f64 z (.f64 x y)) (-.f64 (/.f64 (.f64 t (.f64 a (.f64 t a))) (.f64 (.f64 z z) #s(literal 4 binary64))) (.f64 z z)))) (.f64 (neg.f64 z) (/.f64 (.f64 z (.f64 x y)) (-.f64 (/.f64 (.f64 t (.f64 a (.f64 t a))) (.f64 (.f64 z z) #s(literal 4 binary64))) (.f64 z z)))))
(+.f64 (.f64 (-.f64 (.f64 z z) (.f64 (.f64 (.f64 t a) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 z (.f64 x y)) (fma.f64 z (.f64 z z) (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 a (.f64 t a)))) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64)))))) (.f64 (/.f64 (.f64 t (.f64 a (.f64 t a))) (.f64 (.f64 z z) #s(literal 4 binary64))) (/.f64 (.f64 z (.f64 x y)) (fma.f64 z (.f64 z z) (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 a (.f64 t a)))) (.f64 (.f64 z (*.f64 z z)) #s(literal -8 binary64)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z) (.f64 z (.f64 x y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (.f64 z (.f64 x y)) (fma.f64 a (*.f64 (/.f64 #s(literal -1/2 binary64) z) t) z))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 t (/.f64 a (.f64 z #s(literal 2 binary64))) (neg.f64 z))) (neg.f64 (/.f64 (.f64 z (.f64 x y)) (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z))))
(fma.f64 (/.f64 (.f64 t a) (.f64 z #s(literal -2 binary64))) (/.f64 (.f64 z (.f64 x y)) (-.f64 (/.f64 (.f64 t (.f64 a (.f64 t a))) (.f64 (.f64 z z) #s(literal 4 binary64))) (.f64 z z))) (.f64 (neg.f64 z) (/.f64 (.f64 z (.f64 x y)) (-.f64 (/.f64 (.f64 t (.f64 a (.f64 t a))) (.f64 (.f64 z z) #s(literal 4 binary64))) (*.f64 z z)))))
(fma.f64 (/.f64 (.f64 t (.f64 a (.f64 t a))) (.f64 (.f64 z z) #s(literal 4 binary64))) (/.f64 (.f64 z (.f64 x y)) (fma.f64 z (.f64 z z) (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 a (.f64 t a)))) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (.f64 (-.f64 (.f64 z z) (.f64 (.f64 (.f64 t a) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 z (.f64 x y)) (fma.f64 z (.f64 z z) (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 a (.f64 t a)))) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64)))))))
(fma.f64 (-.f64 (.f64 z z) (.f64 (.f64 (.f64 t a) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 z (.f64 x y)) (fma.f64 z (.f64 z z) (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 a (.f64 t a)))) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (.f64 (/.f64 (.f64 t (.f64 a (.f64 t a))) (.f64 (.f64 z z) #s(literal 4 binary64))) (/.f64 (.f64 z (.f64 x y)) (fma.f64 z (.f64 z z) (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 a (.f64 t a)))) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64)))))))
(fma.f64 (/.f64 (.f64 z (.f64 x y)) (fma.f64 z (.f64 z z) (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 a (.f64 t a)))) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (/.f64 (.f64 t (.f64 a (.f64 t a))) (.f64 (.f64 z z) #s(literal 4 binary64))) (.f64 (/.f64 (.f64 z (.f64 x y)) (fma.f64 z (.f64 z z) (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 a (.f64 t a)))) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (-.f64 (.f64 z z) (.f64 (.f64 (.f64 t a) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 z (.f64 x y)) (fma.f64 z (.f64 z z) (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 a (.f64 t a)))) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (-.f64 (.f64 z z) (.f64 (.f64 (.f64 t a) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 z (.f64 x y)) (fma.f64 z (.f64 z z) (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 a (.f64 t a)))) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (/.f64 (.f64 t (.f64 a (.f64 t a))) (.f64 (.f64 z z) #s(literal 4 binary64)))))
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(neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 z (.f64 x y)) (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z)))))
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(/.f64 (.f64 z (.f64 x y)) (fma.f64 a (*.f64 (/.f64 #s(literal -1/2 binary64) z) t) z))
(/.f64 (.f64 y (.f64 x (neg.f64 z))) (fma.f64 t (/.f64 a (*.f64 z #s(literal 2 binary64))) (neg.f64 z)))
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(/.f64 (.f64 (.f64 z (.f64 x y)) #s(literal -1 binary64)) (fma.f64 t (/.f64 a (.f64 z #s(literal 2 binary64))) (neg.f64 z)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 y (.f64 x (neg.f64 z)))) (fma.f64 t (/.f64 a (.f64 z #s(literal 2 binary64))) (neg.f64 z)))
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(/.f64 (.f64 (/.f64 (.f64 z (.f64 x y)) (-.f64 (/.f64 (.f64 t (.f64 a (.f64 t a))) (.f64 (.f64 z z) #s(literal 4 binary64))) (.f64 z z))) (-.f64 (/.f64 (.f64 t (.f64 a (.f64 t a))) (.f64 (.f64 z z) #s(literal 4 binary64))) (.f64 z z))) (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z))
(/.f64 (.f64 (/.f64 (.f64 z (.f64 x y)) (-.f64 (/.f64 (.f64 t (.f64 a (.f64 t a))) (.f64 (.f64 z z) #s(literal 4 binary64))) (.f64 z z))) (-.f64 (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 a (.f64 t a)))) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))) (.f64 z (.f64 z z)))) (+.f64 (/.f64 (.f64 t (.f64 a (.f64 t a))) (.f64 (.f64 z z) #s(literal 4 binary64))) (fma.f64 z z (.f64 (.f64 (*.f64 t a) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (/.f64 (.f64 z (.f64 x y)) (fma.f64 z (.f64 z z) (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 a (.f64 t a)))) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (fma.f64 #s(literal 1/64 binary64) (.f64 (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 a (.f64 t a)))) (.f64 z (.f64 z z))) (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 a (.f64 t a)))) (.f64 z (.f64 z z)))) (.f64 (-.f64 (.f64 z z) (.f64 (.f64 (.f64 t a) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 z z) (.f64 (.f64 (.f64 t a) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 z z) (.f64 (.f64 (.f64 t a) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))) (fma.f64 (/.f64 (.f64 t a) (.f64 z #s(literal -2 binary64))) (/.f64 (.f64 (.f64 t a) (.f64 t (.f64 a (.f64 t a)))) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))) (.f64 (-.f64 (.f64 z z) (.f64 (.f64 (.f64 t a) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (-.f64 (-.f64 (.f64 z z) (.f64 (.f64 (.f64 t a) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 t (.f64 a (.f64 t a))) (.f64 (*.f64 z z) #s(literal 4 binary64)))))))
(pow.f64 (/.f64 (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z) (.f64 z (*.f64 x y))) #s(literal -1 binary64))
(.f64 z (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z)) (.f64 x y)))
(.f64 z (/.f64 (.f64 x y) (fma.f64 a (*.f64 (/.f64 #s(literal -1/2 binary64) z) t) z)))
(.f64 z (.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z))))
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(.f64 (/.f64 z (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z)) (*.f64 x y))
(.f64 x (.f64 (/.f64 z (fma.f64 a (*.f64 (/.f64 #s(literal -1/2 binary64) z) t) z)) y))
(.f64 x (/.f64 (.f64 z y) (fma.f64 a (*.f64 (/.f64 #s(literal -1/2 binary64) z) t) z)))
(.f64 y (/.f64 (.f64 z x) (fma.f64 a (*.f64 (/.f64 #s(literal -1/2 binary64) z) t) z)))
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(.f64 (.f64 z x) (.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 z (.f64 x y)) (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z)))
(.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 z (.f64 x y)) (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z))))
(.f64 (.f64 z y) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z)) x))
(.f64 (.f64 z y) (.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z))))
(.f64 (.f64 z (.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z)))
(.f64 (/.f64 (.f64 z (.f64 x y)) (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z)) #s(literal 1 binary64))
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(.f64 (neg.f64 z) (.f64 (.f64 x y) (/.f64 #s(literal -1 binary64) (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z))))
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(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z)) (.f64 z (.f64 x y)))
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(.f64 (/.f64 (.f64 z x) (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z)) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 #s(literal 1 binary64) z)))
(.f64 (neg.f64 x) (.f64 (.f64 z y) (/.f64 #s(literal -1 binary64) (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z))))
(.f64 (neg.f64 (.f64 x y)) (/.f64 z (fma.f64 t (/.f64 a (*.f64 z #s(literal 2 binary64))) (neg.f64 z))))
(.f64 (.f64 (/.f64 z (fma.f64 a (*.f64 (/.f64 #s(literal -1/2 binary64) z) t) z)) y) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z)) x) (.f64 z y))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z)) (.f64 x y)) z)
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(.f64 x (.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
(.f64 x (.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y x)
(.f64 (.f64 x y) #s(literal 1 binary64))
(.f64 (.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) z) y))
(.f64 (.f64 z x) (/.f64 y z))
(.f64 #s(literal 1 binary64) (.f64 x y))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 x y)))
(.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 #s(literal 1 binary64) (.f64 z x))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z (.f64 x y))))
(.f64 (.f64 z y) (/.f64 x z))
(.f64 (.f64 z (*.f64 x y)) (/.f64 #s(literal 1 binary64) z))
(.f64 (neg.f64 z) (/.f64 (neg.f64 (.f64 x y)) z))
(.f64 (.f64 x (neg.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) z) y))
(.f64 (.f64 y (*.f64 x (neg.f64 z))) (/.f64 #s(literal -1 binary64) z))
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 z (.f64 x y))))
(.f64 (/.f64 (.f64 x y) z) z)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 z x))
(.f64 (/.f64 x z) (.f64 z y))
(.f64 (/.f64 y z) (.f64 z x))
(.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z x))))
(.f64 (/.f64 (.f64 z y) z) x)
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 z (neg.f64 y)) z))
(.f64 (/.f64 (.f64 x y) #s(literal -1 binary64)) (/.f64 (neg.f64 z) z))
(.f64 (/.f64 (neg.f64 (.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 y #s(literal -1 binary64)) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z x))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)) z)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z y)) x)
(.f64 (.f64 (.f64 z (.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 (.f64 z (.f64 x y)) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 x z) y) z)
(.f64 (.f64 (/.f64 y z) z) x)

simplify714.0ms (5.5%)

Memory

15.0MiB live, 652.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 002×	`-lowering-.f32`
7 002×	`-lowering-.f64`
5 514×	`accelerator-lowering-fma.f32`
5 514×	`accelerator-lowering-fma.f64`
3 022×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	443	6875
1	1413	6851
2	4846	6765
0	8056	6560

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 612

Calls

Call 1

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

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

eval203.0ms (1.6%)

Memory: 9.8MiB live, 432.9MiB allocated
Compiler: Compiled 30 614 to 2 654 computations (91.3% saved)

prune319.0ms (2.5%)

Memory

-36.5MiB live, 498.6MiB allocated

Pruning

43 alts after pruning (37 fresh and 6 done)

	Pruned	Kept	Total
New	1 628	25	1 653
Fresh	15	12	27
Picked	1	4	5
Done	0	2	2
Total	1 644	43	1 687

Accuracy

97.8%

Counts

1 687 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.7%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z)) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y z))))
	58.6%	(/.f64 (.f64 (.f64 y z) x) z)
	65.7%	(/.f64 (.f64 (.f64 x z) y) z)
✓	69.0%	(/.f64 (.f64 (.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
	31.1%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (*.f64 a (neg.f64 t))))
	30.9%	(/.f64 (.f64 y (/.f64 x (sqrt.f64 (neg.f64 (.f64 t a))))) (/.f64 #s(literal 1 binary64) z))
	17.8%	(/.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 x (.f64 y z)) z)) (*.f64 a t))
	75.3%	(/.f64 y (/.f64 #s(literal 1 binary64) x))
	69.3%	(.f64 (fma.f64 a (.f64 #s(literal 1/2 binary64) (/.f64 t (.f64 z z))) #s(literal 1 binary64)) (.f64 x y))
	31.3%	(.f64 (/.f64 (.f64 z y) (sqrt.f64 (neg.f64 (*.f64 t a)))) x)
	58.3%	(.f64 (/.f64 (.f64 z y) z) x)
	61.2%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 (fma.f64 a (neg.f64 t) (*.f64 z z)))) x)
	62.4%	(.f64 (/.f64 (.f64 x y) z) z)
	15.9%	(.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 z z)) (.f64 a t)) (*.f64 x y))
	80.0%	(.f64 (/.f64 z (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
✓	81.0%	(.f64 (/.f64 z (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z)) (*.f64 x y))
	18.7%	(.f64 (/.f64 z (.f64 t (/.f64 (.f64 a #s(literal -1/2 binary64)) z))) (.f64 x y))
	62.5%	(.f64 (/.f64 z (sqrt.f64 (fma.f64 a (neg.f64 t) (.f64 z z)))) (*.f64 x y))
	72.5%	(.f64 (/.f64 y (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z)) (*.f64 z x))
	71.2%	(.f64 (/.f64 y z) (.f64 z x))
	47.6%	(.f64 (/.f64 x z) (.f64 z y))
	47.6%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 z x)) (.f64 y z))
	75.4%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y)
	67.3%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 x y)))
	65.7%	(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 y (*.f64 x (neg.f64 z))))
	33.2%	(.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) t)) (sqrt.f64 a)) x) (*.f64 y z))
▶	29.2%	(.f64 (.f64 (/.f64 x (sqrt.f64 (neg.f64 (*.f64 t a)))) z) y)
▶	54.8%	(.f64 (.f64 (/.f64 x z) y) z)
	75.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z)) (.f64 x z)) y)
	31.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (.f64 t a)))) x) (.f64 y z))
▶	58.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z y)) x)
✓	75.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)) y)
	75.4%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
▶	32.5%	(.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) t) a)) x) (*.f64 y z))
	29.1%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (.f64 t a))) y) (.f64 z x))
✓	32.0%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (.f64 a t))) x) (.f64 y z))
	71.1%	(.f64 (.f64 (exp.f64 (.f64 (log.f64 z) #s(literal -1 binary64))) (.f64 x z)) y)
	30.9%	(.f64 (.f64 y (/.f64 x (sqrt.f64 (neg.f64 (*.f64 t a))))) z)
▶	80.6%	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z) z)) #s(literal -1 binary64))) (.f64 x y))
	71.2%	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) y)
✓	75.1%	(.f64 y (/.f64 (.f64 x z) z))
✓	75.5%	(*.f64 x y)
	56.5%	(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z) (.f64 x (.f64 y z)))) #s(literal -1 binary64)))

Compiler

Compiled 1 293 to 892 computations (31% saved)

simplify194.0ms (1.5%)

Memory

12.1MiB live, 324.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) t) a))
✓	cost-diff	0	(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) t) a)) x)
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) t) a)) x) (*.f64 y z))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal -1 binary64) t) a)
✓	cost-diff	0	(sqrt.f64 (neg.f64 (*.f64 t a)))
✓	cost-diff	0	(/.f64 x (sqrt.f64 (neg.f64 (*.f64 t a))))
✓	cost-diff	0	(.f64 (/.f64 x (sqrt.f64 (neg.f64 (.f64 t a)))) z)
✓	cost-diff	0	(.f64 (.f64 (/.f64 x (sqrt.f64 (neg.f64 (*.f64 t a)))) z) y)
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z y)) x)
✓	cost-diff	1344	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z y))
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(*.f64 (/.f64 x z) y)
✓	cost-diff	1024	(.f64 (.f64 (/.f64 x z) y) z)
✓	cost-diff	0	(log.f64 (/.f64 (fma.f64 a (*.f64 (/.f64 #s(literal -1/2 binary64) z) t) z) z))
✓	cost-diff	0	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z) z)) #s(literal -1 binary64))) (.f64 x y))
✓	cost-diff	192	(.f64 (log.f64 (/.f64 (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z) z)) #s(literal -1 binary64))
✓	cost-diff	12928	(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z) z)) #s(literal -1 binary64)))

Rules

4 254×	`-lowering-.f32`
4 254×	`-lowering-.f64`
2 704×	`accelerator-lowering-fma.f32`
2 704×	`accelerator-lowering-fma.f64`
2 256×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	209
1	89	208
2	203	206
3	362	204
4	1091	204
5	3079	204
6	3547	204
7	3767	204
8	3843	204
9	5346	204
10	5952	204
11	7216	204
12	7538	204
13	7878	204
0	8030	198

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize197.0ms (1.5%)

Memory

-9.3MiB live, 364.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) t) a)) x)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal -1 binary64) t) a)
✓	accuracy	91.2%	(.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) t) a)) x) (*.f64 y z))
✓	accuracy	88.2%	(sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) t) a))
✓	accuracy	99.8%	(/.f64 x (sqrt.f64 (neg.f64 (*.f64 t a))))
✓	accuracy	96.4%	(.f64 (.f64 (/.f64 x (sqrt.f64 (neg.f64 (*.f64 t a)))) z) y)
✓	accuracy	95.5%	(.f64 (/.f64 x (sqrt.f64 (neg.f64 (.f64 t a)))) z)
✓	accuracy	87.4%	(sqrt.f64 (neg.f64 (*.f64 t a)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z y)) x)
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	84.6%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z y))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	96.9%	(*.f64 (/.f64 x z) y)
✓	accuracy	88.6%	(.f64 (.f64 (/.f64 x z) y) z)
✓	accuracy	98.3%	(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z) z)) #s(literal -1 binary64)))
✓	accuracy	98.1%	(fma.f64 a (*.f64 (/.f64 #s(literal -1/2 binary64) z) t) z)
✓	accuracy	95.9%	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z) z)) #s(literal -1 binary64))) (.f64 x y))
✓	accuracy	73.3%	(log.f64 (/.f64 (fma.f64 a (*.f64 (/.f64 #s(literal -1/2 binary64) z) t) z) z))

Samples

86.0ms	58×	2	valid
26.0ms	95×	0	invalid
24.0ms	78×	0	valid
12.0ms	25×	1	valid

Compiler

Compiled 225 to 39 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-neg: 47.0ms (40.9% of total)

ival-mult: 24.0ms (20.9% of total)

ival-log: 17.0ms (14.8% of total)

ival-div: 13.0ms (11.3% of total)

ival-sqrt: 4.0ms (3.5% of total)

adjust: 3.0ms (2.6% of total)

ival-exp: 3.0ms (2.6% of total)

ival-add: 2.0ms (1.7% of total)

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

exact: 0.0ms (0% of total)

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

series96.0ms (0.7%)

Memory

0.3MiB live, 115.2MiB allocated

Counts

20 → 708

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (* a t) (pow z 2))))>
#<alt (+ 1 (* a (- (* 1/4 (/ (* a (pow t 2)) (pow z 4))) (* -1/2 (/ t (pow z 2))))))>
#<alt (+ 1 (* a (- (* a (- (* 1/8 (/ (* a (pow t 3)) (pow z 6))) (* -1/4 (/ (pow t 2) (pow z 4))))) (* -1/2 (/ t (pow z 2))))))>
#<alt (* -2 (/ (pow z 2) (* a t)))>
#<alt (/ (+ (* -4 (/ (pow z 4) (* a (pow t 2)))) (* -2 (/ (pow z 2) t))) a)>
#<alt (/ (- (+ (* -8 (/ (pow z 6) (* (pow a 2) (pow t 3)))) (* -2 (/ (pow z 2) t))) (* 4 (/ (pow z 4) (* a (pow t 2))))) a)>
#<alt (/ (- (+ (* -16 (/ (pow z 8) (* (pow a 3) (pow t 4)))) (* -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) (* a t)))>
#<alt (* -1 (/ (+ (* 2 (/ (pow z 2) t)) (* 4 (/ (pow z 4) (* a (pow t 2))))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -8 (/ (pow z 6) (* a (pow t 3)))) (* 4 (/ (pow z 4) (pow t 2)))) a)) (* 2 (/ (pow z 2) t))) a))>
#<alt (* -1 (/ (+ (* -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)) (* 2 (/ (pow z 2) t))) a))>
#<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 (* 1/2 (/ (* a t) (pow z 2))))>
#<alt (- (+ 1 (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 4)))) (* -1/2 (/ (* a t) (pow z 2))))>
#<alt (- (+ 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)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (* a t) (pow z 2))))>
#<alt (- (+ 1 (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 4)))) (* -1/2 (/ (* a t) (pow z 2))))>
#<alt (- (+ 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)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (* a t) (pow z 2))))>
#<alt (+ 1 (* t (- (* 1/4 (/ (* (pow a 2) t) (pow z 4))) (* -1/2 (/ a (pow z 2))))))>
#<alt (+ 1 (* t (- (* t (- (* 1/8 (/ (* (pow a 3) t) (pow z 6))) (* -1/4 (/ (pow a 2) (pow z 4))))) (* -1/2 (/ a (pow z 2))))))>
#<alt (* -2 (/ (pow z 2) (* a t)))>
#<alt (/ (+ (* -4 (/ (pow z 4) (* (pow a 2) t))) (* -2 (/ (pow z 2) a))) t)>
#<alt (/ (- (+ (* -8 (/ (pow z 6) (* (pow a 3) (pow t 2)))) (* -2 (/ (pow z 2) a))) (* 4 (/ (pow z 4) (* (pow a 2) t)))) t)>
#<alt (/ (- (+ (* -16 (/ (pow z 8) (* (pow a 4) (pow t 3)))) (* -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 t)))>
#<alt (* -1 (/ (+ (* 2 (/ (pow z 2) a)) (* 4 (/ (pow z 4) (* (pow a 2) t)))) t))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -8 (/ (pow z 6) (* (pow a 3) t))) (* 4 (/ (pow z 4) (pow a 2)))) t)) (* 2 (/ (pow z 2) a))) t))>
#<alt (* -1 (/ (+ (* -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)) (* 2 (/ (pow z 2) a))) t))>
#<alt (* 1/2 (/ (* a t) (pow z 2)))>
#<alt (* a (+ (* 1/8 (/ (* a (pow t 2)) (pow z 4))) (* 1/2 (/ t (pow z 2)))))>
#<alt (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* 1/24 (/ (* a (pow t 3)) (pow z 6))) (* 1/8 (/ (pow t 2) (pow z 4)))))))>
#<alt (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* 1/8 (/ (pow t 2) (pow z 4))) (* a (+ (* 1/64 (/ (* a (pow t 4)) (pow z 8))) (* 1/24 (/ (pow t 3) (pow z 6)))))))))>
#<alt (* -1 (+ (log (* -1/2 (/ t (pow z 2)))) (* -1 (log (/ 1 a)))))>
#<alt (+ (* -1 (+ (log (* -1/2 (/ t (pow z 2)))) (* -1 (log (/ 1 a))))) (* 2 (/ (pow z 2) (* a t))))>
#<alt (+ (* -1 (+ (log (* -1/2 (/ t (pow z 2)))) (* -1 (log (/ 1 a))))) (+ (* 2 (/ (pow z 2) (* a t))) (* 2 (/ (pow z 4) (* (pow a 2) (pow t 2))))))>
#<alt (+ (* -1 (+ (log (* -1/2 (/ t (pow z 2)))) (* -1 (log (/ 1 a))))) (+ (* 2 (/ (pow z 2) (* a t))) (+ (* 2 (/ (pow z 4) (* (pow a 2) (pow t 2)))) (* 8/3 (/ (pow z 6) (* (pow a 3) (pow t 3)))))))>
#<alt (* -1 (+ (log (* 1/2 (/ t (pow z 2)))) (* -1 (log (/ -1 a)))))>
#<alt (+ (* -1 (+ (log (* 1/2 (/ t (pow z 2)))) (* -1 (log (/ -1 a))))) (* 2 (/ (pow z 2) (* a t))))>
#<alt (+ (* -1 (+ (log (* 1/2 (/ t (pow z 2)))) (* -1 (log (/ -1 a))))) (* -1 (/ (+ (* -2 (/ (pow z 2) t)) (* -2 (/ (pow z 4) (* a (pow t 2))))) a)))>
#<alt (+ (* -1 (+ (log (* 1/2 (/ t (pow z 2)))) (* -1 (log (/ -1 a))))) (* -1 (/ (+ (* -2 (/ (pow z 2) t)) (* -1 (/ (+ (* 2 (/ (pow z 4) (pow t 2))) (* 8/3 (/ (pow z 6) (* a (pow t 3))))) a))) a)))>
#<alt (* -1 (+ (log (* -1/2 (* a t))) (* -2 (log z))))>
#<alt (+ (* -1 (+ (log (* -1/2 (* a t))) (* -2 (log z)))) (* 2 (/ (pow z 2) (* a t))))>
#<alt (+ (* -1 (+ (log (* -1/2 (* a t))) (* -2 (log z)))) (* (pow z 2) (+ (* 2 (/ (pow z 2) (* (pow a 2) (pow t 2)))) (* 2 (/ 1 (* a t))))))>
#<alt (+ (* -1 (+ (log (* -1/2 (* a t))) (* -2 (log z)))) (* (pow z 2) (+ (* (pow z 2) (+ (* 8/3 (/ (pow z 2) (* (pow a 3) (pow t 3)))) (* 2 (/ 1 (* (pow a 2) (pow t 2)))))) (* 2 (/ 1 (* a t))))))>
#<alt (* 1/2 (/ (* a t) (pow z 2)))>
#<alt (/ (+ (* 1/8 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/2 (* a t))) (pow z 2))>
#<alt (/ (+ (* 1/24 (/ (* (pow a 3) (pow t 3)) (pow z 4))) (+ (* 1/8 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/2 (* a t)))) (pow z 2))>
#<alt (/ (+ (* 1/64 (/ (* (pow a 4) (pow t 4)) (pow z 6))) (+ (* 1/24 (/ (* (pow a 3) (pow t 3)) (pow z 4))) (+ (* 1/8 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/2 (* a t))))) (pow z 2))>
#<alt (* 1/2 (/ (* a t) (pow z 2)))>
#<alt (/ (+ (* 1/8 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/2 (* a t))) (pow z 2))>
#<alt (/ (+ (* 1/24 (/ (* (pow a 3) (pow t 3)) (pow z 4))) (+ (* 1/8 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/2 (* a t)))) (pow z 2))>
#<alt (/ (+ (* 1/64 (/ (* (pow a 4) (pow t 4)) (pow z 6))) (+ (* 1/24 (/ (* (pow a 3) (pow t 3)) (pow z 4))) (+ (* 1/8 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/2 (* a t))))) (pow z 2))>
#<alt (* 1/2 (/ (* a t) (pow z 2)))>
#<alt (* t (+ (* 1/8 (/ (* (pow a 2) t) (pow z 4))) (* 1/2 (/ a (pow z 2)))))>
#<alt (* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* 1/24 (/ (* (pow a 3) t) (pow z 6))) (* 1/8 (/ (pow a 2) (pow z 4)))))))>
#<alt (* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* 1/8 (/ (pow a 2) (pow z 4))) (* t (+ (* 1/64 (/ (* (pow a 4) t) (pow z 8))) (* 1/24 (/ (pow a 3) (pow z 6)))))))))>
#<alt (* -1 (+ (log (* -1/2 (/ a (pow z 2)))) (* -1 (log (/ 1 t)))))>
#<alt (+ (* -1 (+ (log (* -1/2 (/ a (pow z 2)))) (* -1 (log (/ 1 t))))) (* 2 (/ (pow z 2) (* a t))))>
#<alt (+ (* -1 (+ (log (* -1/2 (/ a (pow z 2)))) (* -1 (log (/ 1 t))))) (+ (* 2 (/ (pow z 2) (* a t))) (* 2 (/ (pow z 4) (* (pow a 2) (pow t 2))))))>
#<alt (+ (* -1 (+ (log (* -1/2 (/ a (pow z 2)))) (* -1 (log (/ 1 t))))) (+ (* 2 (/ (pow z 2) (* a t))) (+ (* 2 (/ (pow z 4) (* (pow a 2) (pow t 2)))) (* 8/3 (/ (pow z 6) (* (pow a 3) (pow t 3)))))))>
#<alt (* -1 (+ (log (* 1/2 (/ a (pow z 2)))) (* -1 (log (/ -1 t)))))>
#<alt (+ (* -1 (+ (log (* 1/2 (/ a (pow z 2)))) (* -1 (log (/ -1 t))))) (* 2 (/ (pow z 2) (* a t))))>
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#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x z) (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 (/ 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 (/ -1 (* a t))>
#<alt (/ -1 (* a t))>
#<alt (/ -1 (* a t))>
#<alt (/ -1 (* a t))>
#<alt (/ -1 (* a t))>
#<alt (/ -1 (* a t))>
#<alt (/ -1 (* a t))>
#<alt (/ -1 (* a t))>
#<alt (/ -1 (* a t))>
#<alt (/ -1 (* a t))>
#<alt (/ -1 (* a t))>
#<alt (/ -1 (* a t))>
#<alt (/ -1 (* a t))>
#<alt (/ -1 (* a t))>
#<alt (/ -1 (* a t))>
#<alt (/ -1 (* a t))>
#<alt (/ -1 (* a t))>
#<alt (/ -1 (* a t))>
#<alt (/ -1 (* a t))>
#<alt (/ -1 (* a t))>
#<alt (/ -1 (* a t))>
#<alt (/ -1 (* a t))>
#<alt (/ -1 (* a t))>
#<alt (/ -1 (* a t))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (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 (/ 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))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* a t))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* a t))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* a t))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* a t))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* a t))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* a t))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* a t))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* a t))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* a t))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* a t))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* a t))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* a t))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* a t))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* a t))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* a t))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* a t))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* a t))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* a t))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* a t))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* a t))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* a t))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* a t))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (* a t))) (sqrt -1))>
#<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 (* -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 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)))))>

Calls

177 calls:

Time	Variable		Point	Expression
29.0ms	y	@	inf	(* z y)
15.0ms	z	@	inf	(* (log (/ (+ (* a (* (/ -1/2 z) t)) z) z)) -1)
1.0ms	z	@	0	(* (log (/ (+ (* a (* (/ -1/2 z) t)) z) z)) -1)
1.0ms	a	@	0	(* (log (/ (+ (* a (* (/ -1/2 z) t)) z) z)) -1)
1.0ms	x	@	0	(* (* (/ x (sqrt (neg (* t a)))) z) y)

rewrite415.0ms (3.2%)

Memory

-13.5MiB live, 546.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 554×	`-lowering-.f32`
4 554×	`-lowering-.f64`
3 730×	`accelerator-lowering-fma.f32`
3 730×	`accelerator-lowering-fma.f64`
3 040×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	161
1	151	148
2	830	141
3	7136	141
0	8965	136

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1 129

Calls

Call 1

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

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

simplify483.0ms (3.7%)

Memory

42.6MiB live, 793.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 168×	`accelerator-lowering-fma.f32`
8 168×	`accelerator-lowering-fma.f64`
6 902×	`-lowering-.f32`
6 902×	`-lowering-.f64`
3 218×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	713	9245
1	2291	9142
2	7622	9137
0	8029	8908

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 708

Calls

Call 1

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

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

eval239.0ms (1.9%)

Memory: 13.3MiB live, 552.1MiB allocated
Compiler: Compiled 38 498 to 4 484 computations (88.4% saved)

prune320.0ms (2.5%)

Memory

-17.7MiB live, 592.8MiB allocated

Pruning

40 alts after pruning (30 fresh and 10 done)

	Pruned	Kept	Total
New	1 827	10	1 837
Fresh	12	20	32
Picked	1	4	5
Done	0	6	6
Total	1 840	40	1 880

Accuracy

100.0%

Counts

1 880 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.7%	(/.f64 (.f64 (.f64 z y) (/.f64 x (sqrt.f64 (neg.f64 t)))) (sqrt.f64 a))
	58.6%	(/.f64 (.f64 (.f64 y z) x) z)
	65.7%	(/.f64 (.f64 (.f64 x z) y) z)
✓	69.0%	(/.f64 (.f64 (.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
	31.1%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (*.f64 a (neg.f64 t))))
	17.8%	(/.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 x (.f64 y z)) z)) (*.f64 a t))
	63.4%	(/.f64 z (/.f64 z (*.f64 x y)))
	75.3%	(/.f64 y (/.f64 #s(literal 1 binary64) x))
	57.8%	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (.f64 (.f64 z (neg.f64 y)) x)))
	69.3%	(.f64 (fma.f64 a (.f64 #s(literal 1/2 binary64) (/.f64 t (.f64 z z))) #s(literal 1 binary64)) (.f64 x y))
	31.3%	(.f64 (/.f64 (.f64 z y) (sqrt.f64 (*.f64 t (neg.f64 a)))) x)
	58.3%	(.f64 (/.f64 (.f64 z y) z) x)
	61.2%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 (fma.f64 a (neg.f64 t) (*.f64 z z)))) x)
	62.4%	(.f64 (/.f64 (.f64 x y) z) z)
	15.9%	(.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 z z)) (.f64 a t)) (*.f64 x y))
✓	81.0%	(.f64 (/.f64 z (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z)) (*.f64 x y))
	18.7%	(.f64 (/.f64 z (.f64 t (/.f64 (.f64 a #s(literal -1/2 binary64)) z))) (.f64 x y))
	62.5%	(.f64 (/.f64 z (sqrt.f64 (fma.f64 a (neg.f64 t) (.f64 z z)))) (*.f64 x y))
	34.1%	(.f64 (/.f64 z (sqrt.f64 (neg.f64 t))) (/.f64 (.f64 x y) (sqrt.f64 a)))
	72.5%	(.f64 (/.f64 y (fma.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) z) t) z)) (*.f64 z x))
	71.2%	(.f64 (/.f64 y z) (.f64 z x))
	47.6%	(.f64 (/.f64 x z) (.f64 z y))
	63.0%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (.f64 x y))) z)
	75.4%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y)
	67.3%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (*.f64 x y)))
	65.7%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (*.f64 z x)))
	28.9%	(.f64 (.f64 (/.f64 z (sqrt.f64 (*.f64 t (neg.f64 a)))) x) y)
	32.0%	(.f64 (.f64 (/.f64 x (*.f64 (sqrt.f64 (neg.f64 t)) (sqrt.f64 a))) z) y)
✓	29.2%	(.f64 (.f64 (/.f64 x (sqrt.f64 (neg.f64 (*.f64 t a)))) z) y)
✓	54.8%	(.f64 (.f64 (/.f64 x z) y) z)
	31.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 t (neg.f64 a)))) x) (.f64 y z))
✓	58.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z y)) x)
✓	75.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)) y)
	75.4%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
✓	32.5%	(.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) t) a)) x) (*.f64 y z))
	29.1%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (.f64 t a))) y) (.f64 z x))
✓	32.0%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (.f64 a t))) x) (.f64 y z))
	30.9%	(.f64 (.f64 y (/.f64 x (sqrt.f64 (neg.f64 (*.f64 t a))))) z)
✓	75.1%	(.f64 y (/.f64 (.f64 x z) z))
✓	75.5%	(*.f64 x y)

Compiler

Compiled 1 552 to 680 computations (56.2% saved)

regimes183.0ms (1.4%)

Memory

24.1MiB live, 413.8MiB allocated

Counts

78 → 2

Calls

Call 1

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

Calls

8 calls:

29.0ms	(*.f64 t a)
28.0ms	a
22.0ms	x
21.0ms	y
21.0ms	t

Results

Accuracy	Segments	Branch
81.0%	1	`x`
81.0%	1	`y`
93.3%	2	`z`
81.0%	1	`t`
84.4%	3	`a`
92.6%	3	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
81.0%	1	`(*.f64 x y)`
87.3%	3	`(*.f64 t a)`

Compiler

Compiled 65 to 49 computations (24.6% saved)

regimes20.0ms (0.2%)

Memory

-6.7MiB live, 32.2MiB allocated

Counts

54 → 2

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
91.8%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes45.0ms (0.3%)

Memory

-14.4MiB live, 63.0MiB allocated

Counts

50 → 2

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	z
14.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Results

Accuracy	Segments	Branch
89.8%	3	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
89.4%	2	`z`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes30.0ms (0.2%)

Memory

-28.0MiB live, 36.4MiB allocated

Counts

49 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
90.6%	3	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes26.0ms (0.2%)

Memory

28.0MiB live, 28.0MiB allocated

Counts

48 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	z
11.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Results

Accuracy	Segments	Branch
81.0%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
85.9%	2	`z`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes51.0ms (0.4%)

Memory

7.0MiB live, 45.7MiB allocated

Counts

46 → 2

Calls

Call 1

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

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

Calls

2 calls:

37.0ms	z
12.0ms	(*.f64 t a)

Results

Accuracy	Segments	Branch
81.7%	3	`(*.f64 t a)`
84.9%	2	`z`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes13.0ms (0.1%)

Memory

-7.9MiB live, 27.6MiB allocated

Counts

35 → 2

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
83.4%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes12.0ms (0.1%)

Memory

-10.5MiB live, 27.4MiB allocated

Counts

34 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
83.4%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes75.0ms (0.6%)

Memory

7.7MiB live, 162.5MiB allocated

Counts

31 → 2

Calls

Call 1

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

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

Calls

8 calls:

11.0ms	a
10.0ms	y
10.0ms	(*.f64 x y)
9.0ms	(*.f64 t a)
9.0ms	x

Results

Accuracy	Segments	Branch
78.9%	2	`(*.f64 t a)`
75.5%	1	`x`
77.8%	2	`(*.f64 x y)`
78.0%	2	`y`
77.8%	2	`t`
78.3%	2	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
77.9%	2	`a`
79.3%	2	`z`

Compiler

Compiled 65 to 49 computations (24.6% saved)

regimes7.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	z
3.0ms	(*.f64 t a)

Results

Accuracy	Segments	Branch
78.9%	2	`(*.f64 t a)`
78.3%	2	`z`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes13.0ms (0.1%)

Memory

-8.5MiB live, 33.5MiB 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

8 calls:

4.0ms	z
1.0ms	x
1.0ms	y
1.0ms	a
1.0ms	t

Results

Accuracy	Segments	Branch
75.5%	1	`x`
75.5%	1	`t`
75.5%	1	`(*.f64 x y)`
75.5%	1	`a`
75.5%	1	`y`
75.5%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
75.5%	1	`z`
75.5%	1	`(*.f64 t a)`

Compiler

Compiled 65 to 49 computations (24.6% saved)

bsearch15.0ms (0.1%)

Memory

-4.9MiB live, 34.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.0777198192348703e+55	6.015752275227153e+56

Samples

8.0ms	112×	0	valid
0.0ms	5×	0	invalid

Compiler

Compiled 302 to 202 computations (33.1% saved)

Precisions

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

ival-mult: 3.0ms (60.6% of total)

ival-sub: 1.0ms (20.2% of total)

ival-div: 1.0ms (20.2% of total)

ival-sqrt: 1.0ms (20.2% of total)

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

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

bsearch8.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	2.2905825704352033e+132	2.2597541490290037e+136

Samples

4.0ms	64×	0	valid
0.0ms	2×	0	invalid

Compiler

Compiled 138 to 100 computations (27.5% saved)

Precisions

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

ival-mult: 2.0ms (73.6% 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)

bsearch20.0ms (0.2%)

Memory

-34.5MiB live, 41.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.455798991851668e+107	2.4801037064564265e+115

Samples

12.0ms	144×	0	valid
0.0ms	5×	0	invalid

Compiler

Compiled 382 to 254 computations (33.5% saved)

Precisions

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

ival-mult: 3.0ms (38.7% of total)

ival-sqrt: 3.0ms (38.7% of total)

ival-sub: 1.0ms (12.9% of total)

ival-div: 1.0ms (12.9% of total)

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

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

bsearch43.0ms (0.3%)

Memory

5.2MiB live, 84.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.455798991851668e+107	2.4801037064564265e+115
19.0ms	2.0005316802183672e-128	7.543081277816619e-123

Samples

23.0ms	288×	0	valid
4.0ms	63×	0	invalid

Compiler

Compiled 715 to 479 computations (33% saved)

Precisions

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

ival-mult: 11.0ms (65.6% of total)

ival-div: 2.0ms (11.9% of total)

ival-sqrt: 2.0ms (11.9% of total)

ival-sub: 1.0ms (6% of total)

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

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

bsearch22.0ms (0.2%)

Memory

29.4MiB live, 68.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.0005316802183672e-128	7.543081277816619e-123

Samples

10.0ms	144×	0	valid
3.0ms	43×	0	invalid

Compiler

Compiled 355 to 245 computations (31% saved)

Precisions

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

ival-mult: 4.0ms (52.9% of total)

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

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

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

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

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

bsearch24.0ms (0.2%)

Memory

4.4MiB live, 43.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	2.0005316802183672e-128	7.543081277816619e-123

Samples

11.0ms	144×	0	valid
5.0ms	67×	0	invalid

Compiler

Compiled 256 to 191 computations (25.4% saved)

Precisions

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

ival-mult: 5.0ms (53.1% of total)

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

ival-sub: 1.0ms (10.6% of total)

ival-sqrt: 1.0ms (10.6% of total)

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

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

bsearch60.0ms (0.5%)

Memory

-48.1MiB live, 45.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	2.0005316802183672e-128	7.543081277816619e-123

Samples

10.0ms	144×	0	valid
3.0ms	49×	0	invalid

Compiler

Compiled 256 to 191 computations (25.4% saved)

Precisions

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

ival-mult: 4.0ms (52.5% of total)

ival-sub: 1.0ms (13.1% of total)

ival-div: 1.0ms (13.1% of total)

ival-sqrt: 1.0ms (13.1% of total)

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

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

bsearch23.0ms (0.2%)

Memory

32.0MiB live, 32.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.0005316802183672e-128	7.543081277816619e-123

Samples

10.0ms	144×	0	valid
4.0ms	63×	0	invalid

Compiler

Compiled 256 to 191 computations (25.4% saved)

Precisions

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

ival-mult: 5.0ms (60.7% of total)

ival-sub: 1.0ms (12.1% of total)

ival-div: 1.0ms (12.1% of total)

ival-sqrt: 1.0ms (12.1% of total)

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

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

bsearch23.0ms (0.2%)

Memory

-25.3MiB live, 12.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.72543810244431e-158	5.1801108792899715e-158

Samples

17.0ms	80×	0	valid
2.0ms	27×	0	invalid

Compiler

Compiled 132 to 100 computations (24.2% saved)

Precisions

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

ival-mult: 3.0ms (68.8% of total)

ival-div: 1.0ms (22.9% of total)

ival-sqrt: 1.0ms (22.9% 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

14.9MiB live, 14.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-5.574810195257801e-148	-5.15035976004139e-153

Samples

9.0ms

144×

valid

Compiler

Compiled 220 to 164 computations (25.5% saved)

Precisions

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

ival-mult: 3.0ms (57.5% of total)

ival-sub: 1.0ms (19.2% of total)

ival-div: 1.0ms (19.2% of total)

ival-sqrt: 1.0ms (19.2% of total)

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

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

simplify12.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	248
1	109	248
2	119	248
3	123	248
4	124	248

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 47999999999999998313476068685604289016663575486242226176 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) x) (.f64 (/.f64 z (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z)) (*.f64 x y)))
(if (<=.f64 z #s(literal 99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584 binary64)) (.f64 (/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 x y)) (*.f64 x y))
(if (<=.f64 z #s(literal 2499999999999999954627176797099951966179412741082042811989599592474768138595013324551450856098284419065839616 binary64)) (.f64 (.f64 (/.f64 y (sqrt.f64 (fma.f64 a (neg.f64 t) (.f64 z z)))) x) z) (.f64 (/.f64 z (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z)) (.f64 x y)))
(if (<=.f64 z #s(literal 6828824953816233/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136 binary64)) (.f64 (/.f64 (.f64 z y) (sqrt.f64 (neg.f64 (.f64 t a)))) x) (if (<=.f64 z #s(literal 8199999999999999809458643099157567402290706092125035684991813961038865081563487301751029788849237151899975680 binary64)) (.f64 (.f64 x z) (/.f64 y (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) (.f64 (/.f64 z (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z)) (.f64 x y))))
(if (<=.f64 z #s(literal 520997997575091/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (.f64 (/.f64 (.f64 z y) (sqrt.f64 (neg.f64 (.f64 t a)))) x) (.f64 (/.f64 z (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z)) (.f64 x y)))
(if (<=.f64 z #s(literal 7469027293236505/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (.f64 (/.f64 (.f64 z y) (sqrt.f64 (neg.f64 (.f64 t a)))) x) (.f64 x y))
(if (<=.f64 z #s(literal 4525239750366505/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (.f64 (/.f64 (.f64 x y) (sqrt.f64 (.f64 a (neg.f64 t)))) z) (.f64 x y))
(if (<=.f64 z #s(literal 2743724311801165/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928 binary64)) (.f64 (.f64 y (/.f64 x (sqrt.f64 (neg.f64 (.f64 t a))))) z) (.f64 x y))
(if (<=.f64 z #s(literal 3215295219150359/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568 binary64)) (/.f64 (.f64 (.f64 x y) z) z) (*.f64 x y))
(if (<=.f64 (.f64 t a) #s(literal -7774123036970643/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104 binary64)) (.f64 y (/.f64 (.f64 x z) z)) (.f64 x y))
(*.f64 x y)

Outputs
(if (<=.f64 z #s(literal 47999999999999998313476068685604289016663575486242226176 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) x) (.f64 (/.f64 z (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z)) (*.f64 x y)))
(if (<=.f64 z #s(literal 47999999999999998313476068685604289016663575486242226176 binary64)) (.f64 (/.f64 (.f64 z y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) x) (.f64 (/.f64 z (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z)) (*.f64 y x)))
(if (<=.f64 z #s(literal 99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584 binary64)) (.f64 (/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 x y)) (*.f64 x y))
(if (<=.f64 z #s(literal 99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584 binary64)) (.f64 (.f64 y x) (/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) (*.f64 y x))
(if (<=.f64 z #s(literal 2499999999999999954627176797099951966179412741082042811989599592474768138595013324551450856098284419065839616 binary64)) (.f64 (.f64 (/.f64 y (sqrt.f64 (fma.f64 a (neg.f64 t) (.f64 z z)))) x) z) (.f64 (/.f64 z (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z)) (.f64 x y)))
(if (<=.f64 z #s(literal 2499999999999999954627176797099951966179412741082042811989599592474768138595013324551450856098284419065839616 binary64)) (.f64 z (.f64 x (/.f64 y (sqrt.f64 (fma.f64 a (neg.f64 t) (.f64 z z)))))) (.f64 (/.f64 z (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z)) (.f64 y x)))
(if (<=.f64 z #s(literal 6828824953816233/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136 binary64)) (.f64 (/.f64 (.f64 z y) (sqrt.f64 (neg.f64 (.f64 t a)))) x) (if (<=.f64 z #s(literal 8199999999999999809458643099157567402290706092125035684991813961038865081563487301751029788849237151899975680 binary64)) (.f64 (.f64 x z) (/.f64 y (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) (.f64 (/.f64 z (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z)) (.f64 x y))))
(if (<=.f64 z #s(literal 6828824953816233/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 (neg.f64 (.f64 t a))))) (if (<=.f64 z #s(literal 8199999999999999809458643099157567402290706092125035684991813961038865081563487301751029788849237151899975680 binary64)) (.f64 (.f64 z x) (/.f64 y (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) (.f64 (/.f64 z (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z)) (.f64 y x))))
(if (<=.f64 z #s(literal 520997997575091/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (.f64 (/.f64 (.f64 z y) (sqrt.f64 (neg.f64 (.f64 t a)))) x) (.f64 (/.f64 z (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z)) (.f64 x y)))
(if (<=.f64 z #s(literal 520997997575091/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 (neg.f64 (.f64 t a))))) (.f64 (/.f64 z (fma.f64 t (/.f64 a (.f64 z #s(literal -2 binary64))) z)) (.f64 y x)))
(if (<=.f64 z #s(literal 7469027293236505/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (.f64 (/.f64 (.f64 z y) (sqrt.f64 (neg.f64 (.f64 t a)))) x) (.f64 x y))
(if (<=.f64 z #s(literal 7469027293236505/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 (neg.f64 (.f64 t a))))) (.f64 y x))
(if (<=.f64 z #s(literal 4525239750366505/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (.f64 (/.f64 (.f64 x y) (sqrt.f64 (.f64 a (neg.f64 t)))) z) (.f64 x y))
(if (<=.f64 z #s(literal 4525239750366505/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (.f64 z (/.f64 (.f64 y x) (sqrt.f64 (neg.f64 (.f64 t a))))) (.f64 y x))
(if (<=.f64 z #s(literal 2743724311801165/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928 binary64)) (.f64 (.f64 y (/.f64 x (sqrt.f64 (neg.f64 (.f64 t a))))) z) (.f64 x y))
(if (<=.f64 z #s(literal 2743724311801165/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928 binary64)) (.f64 z (.f64 y (/.f64 x (sqrt.f64 (neg.f64 (.f64 t a)))))) (.f64 y x))
(if (<=.f64 z #s(literal 3215295219150359/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568 binary64)) (/.f64 (.f64 (.f64 x y) z) z) (*.f64 x y))
(if (<=.f64 z #s(literal 3215295219150359/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568 binary64)) (/.f64 (.f64 z (.f64 y x)) z) (*.f64 y x))
(if (<=.f64 (.f64 t a) #s(literal -7774123036970643/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104 binary64)) (.f64 y (/.f64 (.f64 x z) z)) (.f64 x y))
(if (<=.f64 (.f64 t a) #s(literal -7774123036970643/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104 binary64)) (.f64 y (/.f64 (.f64 z x) z)) (.f64 y x))
(*.f64 x y)
(*.f64 y x)

soundness938.0ms (7.3%)

Memory

13.3MiB live, 1 104.7MiB allocated

Rules

8 704×	`-lowering-.f32`
8 704×	`-lowering-.f64`
8 226×	`-lowering-.f32`
8 226×	`-lowering-.f64`
7 510×	`accelerator-lowering-fma.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
0	26	124
1	121	121
2	772	121
0	8049	119
0	495	3663
1	1609	3591
2	6478	3573
0	8266	3461
0	34	133
1	158	123
2	976	111
0	9014	107
0	1199	13524
1	3966	13197
0	8135	12756

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

Compiler

Compiled 775 to 431 computations (44.4% saved)

preprocess477.0ms (3.7%)

Memory: 4.3MiB live, 966.3MiB allocated
Remove: (sort t a)
Compiler: Compiled 1 944 to 1 008 computations (48.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze385.0ms (3%)

sample1.6s (12.2%)

preprocess137.0ms (1.1%)

explain147.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify87.0ms (0.7%)

localize36.0ms (0.3%)

series38.0ms (0.3%)

rewrite346.0ms (2.7%)

simplify487.0ms (3.8%)

eval101.0ms (0.8%)

prune611.0ms (4.7%)

simplify188.0ms (1.5%)

localize472.0ms (3.7%)

series350.0ms (2.7%)

rewrite388.0ms (3%)

simplify458.0ms (3.5%)

eval499.0ms (3.9%)

prune643.0ms (5%)

simplify161.0ms (1.2%)

localize116.0ms (0.9%)

series47.0ms (0.4%)

rewrite297.0ms (2.3%)

simplify714.0ms (5.5%)

eval203.0ms (1.6%)

prune319.0ms (2.5%)

simplify194.0ms (1.5%)

localize197.0ms (1.5%)

series96.0ms (0.7%)

rewrite415.0ms (3.2%)

simplify483.0ms (3.7%)

eval239.0ms (1.9%)

prune320.0ms (2.5%)

regimes183.0ms (1.4%)

regimes20.0ms (0.2%)

regimes45.0ms (0.3%)

regimes30.0ms (0.2%)

regimes26.0ms (0.2%)

regimes51.0ms (0.4%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes75.0ms (0.6%)

regimes7.0ms (0.1%)

regimes13.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch8.0ms (0.1%)

bsearch20.0ms (0.2%)

bsearch43.0ms (0.3%)

bsearch22.0ms (0.2%)

bsearch24.0ms (0.2%)

bsearch60.0ms (0.5%)

bsearch23.0ms (0.2%)

bsearch23.0ms (0.2%)

bsearch15.0ms (0.1%)

simplify12.0ms (0.1%)

soundness938.0ms (7.3%)

preprocess477.0ms (3.7%)

end0.0ms (0%)

Profiling