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

analyze845.0ms (6.2%)

Memory

1.3MiB live, 313.3MiB 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)

sample1.4s (10.2%)

Memory

64.0MiB live, 1 903.0MiB allocated

Samples

808.0ms	8 256×	0	valid
153.0ms	2 019×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 524.0ms

ival-mult: 319.0ms (60.9% of total)

ival-sqrt: 79.0ms (15.1% of total)

ival-sub: 58.0ms (11.1% of total)

ival-div: 57.0ms (10.9% of total)

ival-true: 8.0ms (1.5% of total)

ival-assert: 4.0ms (0.8% of total)

Bogosity

preprocess134.0ms (1%)

Memory

-0.2MiB live, 121.8MiB 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)

explain166.0ms (1.2%)

Memory

-48.3MiB live, 220.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
103	-	0	-	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`
40	-	1	(1.3218217530356827e-44 0.028477487915825255 1.5503614918345117e-267 -2.3236107896857355e+244 2.48749610042377e-266)	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
14	-	2	(1.5980472808622916e-230 1.4278146706627062e-84 4.170858177899839e+188 -50487.479197745015 1.8614367559024634e-130)	`(.f64 (.f64 x y) z)`
4	-	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	99	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	overflow	99
↳	`(*.f64 t a)`	overflow	30
↳	`(*.f64 z z)`	overflow	78
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	o/n	34	0
↳	`(*.f64 x y)`	overflow	24
↳	`(.f64 (.f64 x y) z)`	overflow	51
`*.f64`	`(.f64 (.f64 x y) z)`	*nu**	7	0
`/.f64`	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`	u/n	5	0
↳	`(*.f64 x y)`	underflow	22
↳	`(.f64 (.f64 x y) z)`	underflow	34
`*.f64`	`(.f64 (.f64 x y) z)`	*no**	5	0
`-.f64`	`(-.f64 (.f64 z z) (.f64 t a))`	nan-rescue	4	0
↳	`(*.f64 z z)`	overflow	78
↳	`(*.f64 t a)`	overflow	30
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))`	uflow-rescue	4	0
↳	`(-.f64 (.f64 z z) (.f64 t a))`	underflow	4
↳	`(*.f64 t a)`	underflow	38
↳	`(*.f64 z z)`	underflow	38

Confusion

	Predicted +	Predicted -
+	100	1
-	19	136

Precision

0.8403361344537815

Recall

0.9900990099009901

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	100	0	1
-	19	0	136

Precision?

0.8403361344537815

Recall?

0.9900990099009901

Freqs

test

number	freq
0	137
1	82
2	35
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

76.0ms

512×

valid

Compiler

Compiled 138 to 52 computations (62.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 21.0ms (65.9% of total)

ival-div: 4.0ms (12.6% of total)

ival-sqrt: 4.0ms (12.6% of total)

ival-sub: 2.0ms (6.3% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify76.0ms (0.6%)

Memory

26.6MiB live, 100.4MiB 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

localize37.0ms (0.3%)

Memory

0.6MiB live, 84.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.7%	(-.f64 (.f64 z z) (.f64 t a))
✓	accuracy	95.4%	(.f64 (.f64 x y) z)
✓	accuracy	85.7%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
✓	accuracy	62.3%	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))

Samples

21.0ms

256×

valid

Compiler

Compiled 50 to 14 computations (72% saved)

Precisions

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

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

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

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

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

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

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

series150.0ms (1.1%)

Memory

-19.0MiB live, 55.2MiB allocated

Counts

5 → 192

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
106.0ms	y	@	0	(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
10.0ms	z	@	inf	(- (* z z) (* t a))
3.0ms	x	@	-inf	(* x y)
2.0ms	x	@	0	(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
2.0ms	z	@	0	(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))

rewrite524.0ms (3.9%)

Memory

4.0MiB live, 557.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 380

Calls

Call 1

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

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

simplify387.0ms (2.9%)

Memory

6.0MiB live, 564.0MiB 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))

eval121.0ms (0.9%)

Memory: 8.4MiB live, 157.5MiB allocated
Compiler: Compiled 21 980 to 1 796 computations (91.8% saved)

prune86.0ms (0.6%)

Memory

6.4MiB live, 203.6MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	560	12	572
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	561	12	573

Accuracy

95.1%

Counts

573 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.0%	(fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z)) (*.f64 x y))
	59.3%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
	58.7%	(/.f64 (.f64 (.f64 x z) y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
▶	67.0%	(/.f64 (.f64 (.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
	41.4%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (*.f64 z z)))
▶	32.9%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (*.f64 a (neg.f64 t))))
▶	65.2%	(/.f64 (.f64 (.f64 x y) z) z)
	61.4%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) x)
▶	62.2%	(.f64 (/.f64 (.f64 x y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) z)
	65.3%	(.f64 (/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 x y))
	58.2%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a)))) x) (*.f64 y z))
▶	72.9%	(*.f64 x y)

Compiler

Compiled 414 to 266 computations (35.7% saved)

simplify361.0ms (2.7%)

Memory

-4.3MiB live, 367.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

4 074×	`/-lowering-/.f32`
4 074×	`/-lowering-/.f64`
2 666×	`neg-lowering-neg.f64`
2 666×	`neg-lowering-neg.f32`
2 244×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	155
1	56	155
2	123	155
3	221	155
4	606	155
5	1564	155
6	2894	155
7	3966	155
0	8156	153

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

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

localize84.0ms (0.6%)

Memory

21.3MiB live, 212.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (.f64 z z) (.f64 t a))
✓	accuracy	94.7%	(/.f64 (.f64 x y) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 t a))))
✓	accuracy	93.9%	(.f64 (/.f64 (.f64 x y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) z)
✓	accuracy	79.1%	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
✓	accuracy	100.0%	(*.f64 t #s(literal -1/2 binary64))
✓	accuracy	97.3%	(.f64 (.f64 x y) z)
✓	accuracy	97.0%	(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
✓	accuracy	91.6%	(/.f64 (.f64 (.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
✓	accuracy	100.0%	(neg.f64 t)
✓	accuracy	97.3%	(.f64 (.f64 x y) z)
✓	accuracy	96.7%	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (*.f64 a (neg.f64 t))))
✓	accuracy	83.9%	(sqrt.f64 (*.f64 a (neg.f64 t)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	97.3%	(.f64 (.f64 x y) z)
✓	accuracy	88.2%	(/.f64 (.f64 (.f64 x y) z) z)
✓	accuracy	100.0%	(*.f64 x y)

Samples

35.0ms	161×	0	valid
17.0ms	95×	0	invalid

Compiler

Compiled 159 to 26 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 16.0ms (50.2% of total)

ival-div: 7.0ms (22% of total)

ival-sub: 3.0ms (9.4% of total)

ival-sqrt: 3.0ms (9.4% of total)

ival-add: 1.0ms (3.1% of total)

ival-neg: 1.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series83.0ms (0.6%)

Memory

6.4MiB live, 121.8MiB allocated

Counts

13 → 492

Calls

Call 1

Inputs
#<alt (* x y)>
#<alt (/ (* (* x y) z) z)>
#<alt (* (* x y) z)>
#<alt (/ (* (* x y) z) (sqrt (* a (neg t))))>
#<alt (sqrt (* a (neg t)))>
#<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 (neg t)>
#<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 (* (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 (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
#<alt (/ (* x (* y z)) (+ z (* -1/2 (/ (* a t) z))))>
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#<alt (/ (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) z)>
#<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))) z)>
#<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)))) z)>
#<alt (* -1 (/ (* x y) z))>
#<alt (* -1 (/ (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) z))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (/ (* x y) z)>
#<alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 3))) (/ (* x y) z))>
#<alt (+ (* 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))>
#<alt (+ (* 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))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))>
#<alt (+ (* -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 (+ (* -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))))))>
#<alt (+ (* -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 (/ a (pow t 7))) (/ (* x (* y (+ (* 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 (sqrt -1)))))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))>
#<alt (+ (* -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 (+ (* -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))))))>
#<alt (+ (* -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))))))>
#<alt (/ (* x y) z)>
#<alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 3))) (/ (* x y) z))>
#<alt (+ (* 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))>
#<alt (+ (* 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))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))>
#<alt (+ (* -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 (+ (* -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))))))>
#<alt (+ (* -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)))))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))>
#<alt (+ (* -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 (+ (* -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))))))>
#<alt (+ (* -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))))))>
#<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 t)>
#<alt (* -1 t)>
#<alt (* -1 t)>
#<alt (* -1 t)>
#<alt (* -1 t)>
#<alt (* -1 t)>
#<alt (* -1 t)>
#<alt (* -1 t)>
#<alt (* -1 t)>
#<alt (* -1 t)>
#<alt (* -1 t)>
#<alt (* -1 t)>
#<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

123 calls:

Time	Variable		Point	Expression
35.0ms	z	@	inf	(/ (* (* x y) z) (+ (* a (/ (* t -1/2) z)) z))
8.0ms	a	@	-inf	(/ (* x y) (sqrt (- (* z z) (* t a))))
1.0ms	a	@	0	(/ (* (* x y) z) (sqrt (* a (neg t))))
1.0ms	x	@	0	(/ (* (* x y) z) (sqrt (* a (neg t))))
1.0ms	t	@	0	(/ (* (* x y) z) (sqrt (* a (neg t))))

rewrite697.0ms (5.1%)

Memory

-125.0MiB live, 702.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 396×	`-lowering-.f32`
6 396×	`-lowering-.f64`
5 676×	`accelerator-lowering-fma.f32`
5 676×	`accelerator-lowering-fma.f64`
4 414×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	97
1	120	97
2	791	97
0	8319	95

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 801

Calls

Call 1

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

simplify510.0ms (3.8%)

Memory

2.5MiB live, 873.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 948×	`-lowering-.f32`
6 948×	`-lowering-.f64`
5 832×	`accelerator-lowering-fma.f32`
5 832×	`accelerator-lowering-fma.f64`
3 914×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	815	8826
1	2739	8681
2	7667	8673
0	8067	8417

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

Inputs
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
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(* x y)
(* x y)
(* x y)
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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 y)
(* x y)
(* x y)
(* 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))
(* (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 (* 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))
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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))))
(/ (* 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)
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(* x y)
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(* -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))
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)))))
(* (* 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) (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)))))
(+ (* -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 (/ a (pow t 7))) (/ (* x (* y (+ (* 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 (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 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)))))))
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 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)
(* -1/2 t)
(* -1 (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* -1 (* a t))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* -1 (* a t))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* -1 (* a t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* -1 (* a t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))

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

eval249.0ms (1.8%)

Memory: 13.5MiB live, 490.4MiB allocated
Compiler: Compiled 38 559 to 3 250 computations (91.6% saved)

prune841.0ms (6.2%)

Memory

19.3MiB live, 409.7MiB allocated

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	1 737	24	1 761
Fresh	5	2	7
Picked	4	1	5
Done	0	0	0
Total	1 746	27	1 773

Accuracy

99.9%

Counts

1 773 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.0%	(fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z)) (*.f64 x y))
	37.0%	(/.f64 (.f64 (/.f64 (.f64 x y) (sqrt.f64 a)) z) (sqrt.f64 (neg.f64 t)))
	64.3%	(/.f64 (.f64 (.f64 z x) y) z)
	32.7%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (*.f64 a (neg.f64 t))))
	37.9%	(/.f64 (.f64 (.f64 x y) z) (*.f64 (sqrt.f64 (neg.f64 t)) (sqrt.f64 a)))
	38.3%	(/.f64 (.f64 x (/.f64 (.f64 y z) (sqrt.f64 (neg.f64 t)))) (sqrt.f64 a))
	37.6%	(.f64 (/.f64 (.f64 (*.f64 x y) z) (sqrt.f64 a)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 t))))
	37.4%	(.f64 (/.f64 (.f64 y z) (sqrt.f64 (neg.f64 t))) (/.f64 x (sqrt.f64 a)))
	32.0%	(.f64 (/.f64 (.f64 x y) (sqrt.f64 (*.f64 t (neg.f64 a)))) z)
	63.1%	(.f64 (/.f64 (.f64 x y) z) z)
▶	79.3%	(.f64 (/.f64 z (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z)) (*.f64 x y))
	48.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 z x)) (.f64 y z))
	65.0%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (*.f64 x y) z))
	33.1%	(.f64 (.f64 (/.f64 z (sqrt.f64 (*.f64 t (neg.f64 a)))) y) x)
	33.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 t (neg.f64 a)))) (.f64 y z)) x)
	75.3%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z x)) y)
	63.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)) z)
▶	72.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
	58.2%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a)))) x) (*.f64 y z))
	71.2%	(.f64 (.f64 z x) (/.f64 y z))
	48.6%	(.f64 (.f64 y z) (/.f64 x z))
	54.3%	(.f64 (neg.f64 x) (/.f64 (.f64 y z) (neg.f64 z)))
▶	61.1%	(.f64 y (/.f64 (.f64 x z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 a t)))))
▶	75.5%	(.f64 y (/.f64 (.f64 x z) z))
▶	33.2%	(.f64 x (/.f64 (.f64 y z) (sqrt.f64 (*.f64 t (neg.f64 a)))))
✓	72.9%	(*.f64 x y)
	19.3%	(.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 x y) (.f64 z z)) (*.f64 a t)))

Compiler

Compiled 830 to 568 computations (31.6% saved)

simplify375.0ms (2.8%)

Memory

-30.6MiB live, 326.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

3 366×	`/-lowering-/.f32`
3 366×	`/-lowering-/.f64`
3 150×	`-lowering-.f32`
3 150×	`-lowering-.f64`
2 500×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	170
1	82	170
2	146	170
3	466	170
4	1796	170
5	2621	170
6	3714	170
7	4184	170
8	6945	170
0	8088	167

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize104.0ms (0.8%)

Memory

-16.8MiB live, 218.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (.f64 z z) (.f64 a t))
✓	accuracy	92.9%	(.f64 y (/.f64 (.f64 x z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 a t)))))
✓	accuracy	92.6%	(/.f64 (.f64 x z) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 a t))))
✓	accuracy	79.1%	(sqrt.f64 (-.f64 (.f64 z z) (.f64 a t)))
✓	accuracy	100.0%	(neg.f64 a)
✓	accuracy	96.2%	(/.f64 (.f64 y z) (sqrt.f64 (.f64 t (neg.f64 a))))
✓	accuracy	96.1%	(.f64 x (/.f64 (.f64 y z) (sqrt.f64 (*.f64 t (neg.f64 a)))))
✓	accuracy	83.9%	(sqrt.f64 (*.f64 t (neg.f64 a)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) z) z)
✓	accuracy	100.0%	(.f64 y (/.f64 (.f64 x z) z))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	84.2%	(/.f64 (*.f64 x z) z)
✓	accuracy	100.0%	(*.f64 t #s(literal -1/2 binary64))
✓	accuracy	99.3%	(/.f64 z (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
✓	accuracy	97.0%	(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
✓	accuracy	95.8%	(.f64 (/.f64 z (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z)) (*.f64 x y))

Samples

36.0ms	161×	0	valid
21.0ms	95×	0	invalid

Compiler

Compiled 187 to 34 computations (81.8% saved)

Precisions

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

ival-mult: 20.0ms (55.3% of total)

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

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.3%)

Memory

27.7MiB live, 104.0MiB allocated

Counts

21 → 684

Calls

Call 1

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

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

Calls

171 calls:

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

rewrite350.0ms (2.6%)

Memory

-1.5MiB live, 702.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 466×	`-lowering-.f32`
6 466×	`-lowering-.f64`
6 342×	`accelerator-lowering-fma.f32`
6 342×	`accelerator-lowering-fma.f64`
4 328×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	147
1	149	131
2	863	131
0	8472	128

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1 144

Calls

Call 1

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

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

simplify430.0ms (3.2%)

Memory

17.0MiB live, 746.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 482×	`-lowering-.f32`
7 482×	`-lowering-.f64`
6 488×	`accelerator-lowering-fma.f32`
6 488×	`accelerator-lowering-fma.f64`
4 384×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1018	10260
1	3374	10112
0	8232	9819

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 684

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

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

eval255.0ms (1.9%)

Memory: -2.5MiB live, 418.6MiB allocated
Compiler: Compiled 40 968 to 4 212 computations (89.7% saved)

prune322.0ms (2.4%)

Memory

6.8MiB live, 642.9MiB allocated

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	1 943	12	1 955
Fresh	7	14	21
Picked	1	4	5
Done	0	1	1
Total	1 951	31	1 982

Accuracy

99.9%

Counts

1 982 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.0%	(fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z)) (*.f64 x y))
	37.0%	(/.f64 (.f64 (/.f64 (.f64 x y) (sqrt.f64 a)) z) (sqrt.f64 (neg.f64 t)))
▶	64.3%	(/.f64 (.f64 (.f64 z x) y) z)
	32.7%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (*.f64 a (neg.f64 t))))
	37.9%	(/.f64 (.f64 (.f64 x y) z) (*.f64 (sqrt.f64 (neg.f64 t)) (sqrt.f64 a)))
	38.3%	(/.f64 (.f64 x (/.f64 (.f64 y z) (sqrt.f64 (neg.f64 t)))) (sqrt.f64 a))
	72.7%	(/.f64 y (/.f64 #s(literal 1 binary64) x))
	64.8%	(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a t) (.f64 z z)) #s(literal 1 binary64)) (.f64 x y))
	37.6%	(.f64 (/.f64 (.f64 (*.f64 x y) z) (sqrt.f64 a)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 t))))
	54.3%	(.f64 (/.f64 (.f64 z y) z) x)
	63.1%	(.f64 (/.f64 (.f64 x y) z) z)
	18.8%	(.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 z z)) (.f64 a t)) (*.f64 x y))
▶	79.3%	(.f64 (/.f64 z (fma.f64 (/.f64 a z) (.f64 t #s(literal -1/2 binary64)) z)) (*.f64 x y))
	54.6%	(*.f64 (/.f64 y (/.f64 z x)) z)
	71.2%	(.f64 (/.f64 y z) (.f64 z x))
	48.6%	(.f64 (/.f64 x z) (.f64 z y))
	48.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 z x)) (.f64 y z))
	65.0%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (*.f64 x y) z))
	33.1%	(.f64 (.f64 (/.f64 z (sqrt.f64 (*.f64 t (neg.f64 a)))) y) x)
	75.3%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z x)) y)
✓	72.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
	58.2%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a)))) x) (*.f64 y z))
	31.6%	(.f64 z (.f64 (/.f64 y (sqrt.f64 (*.f64 t (neg.f64 a)))) x))
	55.4%	(.f64 z (.f64 (/.f64 x z) y))
▶	61.0%	(.f64 z (.f64 x (/.f64 y z)))
✓	61.1%	(.f64 y (/.f64 (.f64 x z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 a t)))))
✓	75.5%	(.f64 y (/.f64 (.f64 x z) z))
	38.5%	(.f64 x (/.f64 (.f64 y z) (*.f64 (sqrt.f64 (neg.f64 t)) (sqrt.f64 a))))
✓	33.2%	(.f64 x (/.f64 (.f64 y z) (sqrt.f64 (*.f64 t (neg.f64 a)))))
✓	72.9%	(*.f64 x y)
▶	19.3%	(.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 x y) (.f64 z z)) (*.f64 a t)))

Compiler

Compiled 867 to 591 computations (31.8% saved)

simplify532.0ms (3.9%)

Memory

-17.8MiB live, 268.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

6 464×	`-lowering-.f32`
6 464×	`-lowering-.f64`
3 602×	`/-lowering-/.f32`
3 602×	`/-lowering-/.f64`
3 264×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	176
1	83	176
2	285	176
3	1062	176
4	1885	176
5	2401	174
6	2581	174
7	2690	174
8	2798	174
9	2948	174
10	3238	174
11	3540	174
12	3676	174
13	3765	174
14	3793	174
15	3793	174
16	3793	174
17	3793	174
18	7161	174
19	7781	174
20	7781	174
0	8068	170

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize93.0ms (0.7%)

Memory

6.4MiB live, 201.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 t (*.f64 x y)))
✓	accuracy	93.5%	(.f64 t (.f64 x y))
✓	accuracy	93.1%	(fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z)) (*.f64 x y))
✓	accuracy	83.4%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z))
✓	accuracy	100.0%	(*.f64 a t)
✓	accuracy	100.0%	(.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 x y) (.f64 z z)) (*.f64 a t)))
✓	accuracy	86.8%	(/.f64 (.f64 (.f64 x y) (.f64 z z)) (.f64 a t))
✓	accuracy	85.5%	(.f64 (.f64 x y) (*.f64 z z))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	94.5%	(.f64 (.f64 z x) y)
✓	accuracy	81.5%	(/.f64 (.f64 (.f64 z x) y) z)
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	94.2%	(*.f64 x (/.f64 y z))
✓	accuracy	84.0%	(.f64 z (.f64 x (/.f64 y z)))
✓	accuracy	100.0%	(*.f64 t #s(literal -1/2 binary64))
✓	accuracy	99.3%	(/.f64 z (fma.f64 (/.f64 a z) (*.f64 t #s(literal -1/2 binary64)) z))
✓	accuracy	97.7%	(fma.f64 (/.f64 a z) (*.f64 t #s(literal -1/2 binary64)) z)
✓	accuracy	95.8%	(.f64 (/.f64 z (fma.f64 (/.f64 a z) (.f64 t #s(literal -1/2 binary64)) z)) (*.f64 x y))

Samples

56.0ms

256×

valid

Compiler

Compiled 182 to 33 computations (81.9% saved)

Precisions

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

ival-mult: 20.0ms (55.7% of total)

ival-div: 13.0ms (36.2% of total)

ival-add: 2.0ms (5.6% of total)

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

exact: 0.0ms (0% of total)

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

series92.0ms (0.7%)

Memory

40.7MiB live, 110.9MiB allocated

Counts

20 → 744

Calls

Call 1

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

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

Calls

186 calls:

Time	Variable		Expression
21.0ms	a	@	(* -2 (/ (* (* x y) (* z z)) (* a t)))
15.0ms	z	@	(+ (* a (/ (* 1/2 (* t (* x y))) (* z z))) (* x y))
14.0ms	a	@	(+ (* a (/ (* 1/2 (* t (* x y))) (* z z))) (* x y))
1.0ms	x	@	(* -2 (/ (* (* x y) (* z z)) (* a t)))
1.0ms	y	@	(* -2 (/ (* (* x y) (* z z)) (* a t)))

rewrite437.0ms (3.2%)

Memory

0.6MiB live, 685.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 946×	`-lowering-.f32`
6 946×	`-lowering-.f64`
6 134×	`accelerator-lowering-fma.f32`
6 134×	`accelerator-lowering-fma.f64`
4 236×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	152
1	147	152
2	1081	140
0	8606	136

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 983

Calls

Call 1

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

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

simplify337.0ms (2.5%)

Memory

11.8MiB live, 777.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 180×	`-lowering-.f32`
7 180×	`-lowering-.f64`
5 700×	`accelerator-lowering-fma.f32`
5 700×	`accelerator-lowering-fma.f64`
3 162×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	477	7343
1	1549	7263
2	5356	7251
0	8176	7049

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 744

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

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

eval242.0ms (1.8%)

Memory: -39.2MiB live, 478.4MiB allocated
Compiler: Compiled 36 574 to 3 179 computations (91.3% saved)

prune244.0ms (1.8%)

Memory

10.6MiB live, 458.8MiB allocated

Pruning

41 alts after pruning (33 fresh and 8 done)

	Pruned	Kept	Total
New	1 951	13	1 964
Fresh	1	20	21
Picked	2	3	5
Done	0	5	5
Total	1 954	41	1 995

Accuracy

99.9%

Counts

1 995 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.0%	(fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 t (.f64 x y))) (.f64 z z)) (*.f64 x y))
	37.0%	(/.f64 (.f64 (/.f64 (.f64 x y) (sqrt.f64 a)) z) (sqrt.f64 (neg.f64 t)))
✓	64.3%	(/.f64 (.f64 (.f64 z x) y) z)
	32.7%	(/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (*.f64 a (neg.f64 t))))
	37.9%	(/.f64 (.f64 (.f64 x y) z) (*.f64 (sqrt.f64 (neg.f64 t)) (sqrt.f64 a)))
	18.2%	(/.f64 (.f64 (.f64 #s(literal -2 binary64) x) (.f64 y (.f64 z z))) (*.f64 a t))
	38.3%	(/.f64 (.f64 x (/.f64 (.f64 y z) (sqrt.f64 (neg.f64 t)))) (sqrt.f64 a))
	62.5%	(/.f64 z (/.f64 z (*.f64 x y)))
	72.7%	(/.f64 y (/.f64 #s(literal 1 binary64) x))
	64.8%	(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a t) (.f64 z z)) #s(literal 1 binary64)) (.f64 x y))
	37.6%	(.f64 (/.f64 (.f64 (*.f64 x y) z) (sqrt.f64 a)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 t))))
	54.3%	(.f64 (/.f64 (.f64 z y) z) x)
	63.1%	(.f64 (/.f64 (.f64 x y) z) z)
	20.7%	(.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 z z)) a) (/.f64 (.f64 x y) t))
	54.6%	(*.f64 (/.f64 y (/.f64 z x)) z)
	71.2%	(.f64 (/.f64 y z) (.f64 z x))
	48.6%	(.f64 (/.f64 x z) (.f64 z y))
	48.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 z x)) (.f64 y z))
	65.0%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (*.f64 x y) z))
	23.0%	(.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 x y)) a) z) (/.f64 z t))
	33.1%	(.f64 (.f64 (/.f64 z (sqrt.f64 (*.f64 t (neg.f64 a)))) y) x)
	75.3%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z x)) y)
✓	72.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
	58.2%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 t a)))) x) (*.f64 y z))
	22.0%	(.f64 (.f64 z (.f64 z (.f64 x y))) (/.f64 #s(literal -2 binary64) (*.f64 a t)))
	19.1%	(.f64 (.f64 #s(literal -2 binary64) (.f64 z z)) (/.f64 (.f64 x y) (*.f64 a t)))
	31.6%	(.f64 z (.f64 (/.f64 y (sqrt.f64 (*.f64 t (neg.f64 a)))) x))
	55.4%	(.f64 z (.f64 (/.f64 x z) y))
✓	61.0%	(.f64 z (.f64 x (/.f64 y z)))
	60.9%	(.f64 z (.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
✓	61.1%	(.f64 y (/.f64 (.f64 x z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 a t)))))
✓	75.5%	(.f64 y (/.f64 (.f64 x z) z))
	38.5%	(.f64 x (/.f64 (.f64 y z) (*.f64 (sqrt.f64 (neg.f64 t)) (sqrt.f64 a))))
✓	33.2%	(.f64 x (/.f64 (.f64 y z) (sqrt.f64 (*.f64 t (neg.f64 a)))))
✓	72.9%	(*.f64 x y)
	18.6%	(.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 (.f64 z z) x) y) (*.f64 a t)))
	18.9%	(.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 z y) (.f64 z x)) (*.f64 a t)))
	20.4%	(.f64 #s(literal -2 binary64) (.f64 (/.f64 (.f64 (.f64 z z) x) a) (/.f64 y t)))
	18.5%	(.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 z (/.f64 z (*.f64 a t))) y) x))
	19.9%	(.f64 #s(literal -2 binary64) (.f64 (.f64 z (/.f64 z (.f64 a t))) (*.f64 x y)))
	21.2%	(.f64 #s(literal -2 binary64) (.f64 (.f64 z (.f64 x y)) (/.f64 z (*.f64 a t))))

Compiler

Compiled 1 322 to 616 computations (53.4% saved)

regimes622.0ms (4.6%)

Memory

-18.6MiB live, 258.2MiB allocated

Counts

62 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

8 calls:

114.0ms	y
113.0ms	x
111.0ms	z
109.0ms	t
107.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
79.3%	1	`x`
79.3%	1	`y`
94.1%	3	`z`
83.0%	2	`t`
79.3%	1	`a`
92.9%	3	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
79.3%	1	`(*.f64 x y)`
90.0%	3	`(*.f64 t a)`

Compiler

Compiled 65 to 49 computations (24.6% saved)

regimes17.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

55 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
93.4%	3	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes91.0ms (0.7%)

Memory

-24.9MiB live, 14.2MiB allocated

Counts

51 → 2

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
91.4%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes27.0ms (0.2%)

Memory

22.3MiB live, 22.3MiB allocated

Counts

49 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

13.0ms	z
12.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Results

Accuracy	Segments	Branch
88.5%	3	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
90.7%	3	`z`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes123.0ms (0.9%)

Memory

-0.8MiB live, 40.6MiB allocated

Counts

48 → 2

Calls

Call 1

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

Calls

3 calls:

97.0ms	z
12.0ms	(*.f64 t a)
11.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))

Results

Accuracy	Segments	Branch
79.3%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
82.7%	2	`(*.f64 t a)`
85.9%	2	`z`

Compiler

Compiled 33 to 23 computations (30.3% saved)

regimes39.0ms (0.3%)

Memory

-20.6MiB live, 17.8MiB allocated

Counts

45 → 2

Calls

Call 1

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

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

Calls

1 calls:

37.0ms

Results

Accuracy	Segments	Branch
84.7%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes12.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

39 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
84.6%	2	`z`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes117.0ms (0.9%)

Memory

15.5MiB live, 92.2MiB allocated

Counts

34 → 2

Calls

Call 1

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

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

Calls

8 calls:

33.0ms	t
28.0ms	y
9.0ms	x
9.0ms	a
9.0ms	z

Results

Accuracy	Segments	Branch
75.5%	1	`x`
75.5%	1	`(*.f64 x y)`
75.5%	1	`y`
75.5%	1	`a`
77.1%	2	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
75.5%	1	`(*.f64 t a)`
77.1%	2	`t`
77.2%	2	`z`

Compiler

Compiled 65 to 49 computations (24.6% saved)

regimes83.0ms (0.6%)

Memory

-29.3MiB live, 18.4MiB 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:

74.0ms	a
1.0ms	z
1.0ms	y
1.0ms	t
1.0ms	x

Results

Accuracy	Segments	Branch
72.9%	1	`(*.f64 t a)`
72.9%	1	`x`
72.9%	1	`y`
72.9%	1	`a`
72.9%	1	`(*.f64 x y)`
72.9%	1	`t`
72.9%	1	`(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))`
72.9%	1	`z`

Compiler

Compiled 65 to 49 computations (24.6% saved)

bsearch104.0ms (0.8%)

Memory

10.6MiB live, 49.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.0861136863901894e+120	2.1617417471646275e+120
94.0ms	9.521062784203804e-153	2.4486673633022087e-149

Samples

89.0ms	192×	0	valid
4.0ms	58×	0	invalid

Compiler

Compiled 486 to 332 computations (31.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 82.0ms (95.5% of total)

ival-sqrt: 2.0ms (2.3% of total)

ival-sub: 1.0ms (1.2% of total)

ival-div: 1.0ms (1.2% of total)

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

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

bsearch11.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	1.0861136863901894e+120	2.1617417471646275e+120
7.0ms	7.840527513645507e-60	1.034831845719606e-59

Samples

6.0ms	80×	0	valid
1.0ms	18×	0	invalid

Compiler

Compiled 222 to 150 computations (32.4% saved)

Precisions

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

ival-mult: 2.0ms (50.6% of total)

ival-div: 1.0ms (25.3% of total)

ival-sqrt: 1.0ms (25.3% of total)

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

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

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

bsearch79.0ms (0.6%)

Memory

-31.3MiB live, 7.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	1.0861136863901894e+120	2.1617417471646275e+120

Samples

3.0ms	48×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 142 to 98 computations (31% saved)

Precisions

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

ival-mult: 1.0ms (52% 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)

bsearch21.0ms (0.2%)

Memory

22.4MiB live, 22.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.0861136863901894e+120	2.1617417471646275e+120
12.0ms	4.727011500470854e-153	9.521062784203804e-153

Samples

10.0ms	144×	0	valid
3.0ms	40×	0	invalid

Compiler

Compiled 367 to 249 computations (32.2% saved)

Precisions

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

ival-mult: 4.0ms (54.4% of total)

ival-sub: 1.0ms (13.6% of total)

ival-div: 1.0ms (13.6% of total)

ival-sqrt: 1.0ms (13.6% of total)

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

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

bsearch85.0ms (0.6%)

Memory

-18.8MiB live, 18.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.121547714112038e-126	3.6625988574826636e-124

Samples

8.0ms	112×	0	valid
2.0ms	37×	0	invalid

Compiler

Compiled 281 to 195 computations (30.6% saved)

Precisions

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

ival-mult: 3.0ms (51.9% of total)

ival-sub: 1.0ms (17.3% of total)

ival-div: 1.0ms (17.3% of total)

ival-sqrt: 1.0ms (17.3% of total)

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

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

bsearch16.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.121547714112038e-126	3.6625988574826636e-124

Samples

8.0ms	112×	0	valid
2.0ms	30×	0	invalid

Compiler

Compiled 204 to 153 computations (25% saved)

Precisions

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

ival-mult: 3.0ms (53.5% of total)

ival-sub: 1.0ms (17.8% of total)

ival-div: 1.0ms (17.8% of total)

ival-sqrt: 1.0ms (17.8% of total)

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

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

bsearch18.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3.4808876494264977e-78	1.9084798314697555e-74

Samples

9.0ms	128×	0	valid
2.0ms	34×	0	invalid

Compiler

Compiled 230 to 172 computations (25.2% saved)

Precisions

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

ival-mult: 4.0ms (63.4% of total)

ival-sub: 1.0ms (15.9% of total)

ival-div: 1.0ms (15.9% of total)

ival-sqrt: 1.0ms (15.9% of total)

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

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

bsearch88.0ms (0.7%)

Memory

-19.7MiB live, 19.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
87.0ms	3.963365411172599e-134	1.3333499104079716e-132

Samples

79.0ms	112×	0	valid
3.0ms	43×	0	invalid

Compiler

Compiled 176 to 132 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 75.0ms (97% of total)

ival-sub: 1.0ms (1.3% of total)

ival-div: 1.0ms (1.3% of total)

ival-sqrt: 1.0ms (1.3% of total)

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

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

simplify11.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	259
1	103	259
2	110	259
3	114	259
4	115	259

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 7923846888053041/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) (.f64 x (/.f64 (.f64 y z) (.f64 (sqrt.f64 (neg.f64 t)) (sqrt.f64 a)))) (if (<=.f64 z #s(literal 1500000000000000113348866020470771248179513745725946577068284290763728855540445549879863907925289164008323682154470965248 binary64)) (.f64 (/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 x y)) (.f64 (/.f64 z (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z)) (.f64 x y))))
(if (<=.f64 z #s(literal 8684406692798715/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) x) (if (<=.f64 z #s(literal 1500000000000000113348866020470771248179513745725946577068284290763728855540445549879863907925289164008323682154470965248 binary64)) (.f64 (/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 x y)) (.f64 (/.f64 z (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z)) (*.f64 x y))))
(if (<=.f64 z #s(literal 1999999999999999960006936694788402363337610385794017036377296623661544829254857450929578869859984879509552150362154074112 binary64)) (.f64 (/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 x y)) (.f64 (/.f64 z (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z)) (*.f64 x y)))
(if (<=.f64 z #s(literal 5189198334129619/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (.f64 a (neg.f64 t)))) (if (<=.f64 z #s(literal 2050000000000000002010209161971953265123942432352997602222322586158354520066019625707622268265574652810138824936064548864 binary64)) (.f64 y (/.f64 (.f64 x z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 a t))))) (.f64 (/.f64 z (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z)) (.f64 x y))))
(if (<=.f64 z #s(literal 8574138474378641/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (.f64 a (neg.f64 t)))) (.f64 (/.f64 z (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z)) (.f64 x y)))
(if (<=.f64 z #s(literal 8574138474378641/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (.f64 a (neg.f64 t)))) (.f64 x y))
(if (<=.f64 z #s(literal 2291665473376297/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (.f64 x (/.f64 (.f64 y z) (sqrt.f64 (.f64 t (neg.f64 a))))) (.f64 x y))
(if (<=.f64 z #s(literal 7544142416635639/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448 binary64)) (.f64 y (/.f64 (.f64 x z) z)) (*.f64 x y))
(*.f64 x y)

Outputs
(if (<=.f64 z #s(literal 7923846888053041/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) (.f64 x (/.f64 (.f64 y z) (.f64 (sqrt.f64 (neg.f64 t)) (sqrt.f64 a)))) (if (<=.f64 z #s(literal 1500000000000000113348866020470771248179513745725946577068284290763728855540445549879863907925289164008323682154470965248 binary64)) (.f64 (/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 x y)) (.f64 (/.f64 z (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z)) (.f64 x y))))
(if (<=.f64 z #s(literal 7923846888053041/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) (.f64 x (/.f64 (.f64 z y) (.f64 (sqrt.f64 (neg.f64 t)) (sqrt.f64 a)))) (if (<=.f64 z #s(literal 1500000000000000113348866020470771248179513745725946577068284290763728855540445549879863907925289164008323682154470965248 binary64)) (.f64 (/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 x y)) (.f64 (.f64 x y) (/.f64 z (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z)))))
(if (<=.f64 z #s(literal 8684406692798715/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) (.f64 (/.f64 (.f64 y z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) x) (if (<=.f64 z #s(literal 1500000000000000113348866020470771248179513745725946577068284290763728855540445549879863907925289164008323682154470965248 binary64)) (.f64 (/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 x y)) (.f64 (/.f64 z (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z)) (*.f64 x y))))
(if (<=.f64 z #s(literal 8684406692798715/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) (if (<=.f64 z #s(literal 1500000000000000113348866020470771248179513745725946577068284290763728855540445549879863907925289164008323682154470965248 binary64)) (.f64 (/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 x y)) (.f64 (.f64 x y) (/.f64 z (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)))))
(if (<=.f64 z #s(literal 1999999999999999960006936694788402363337610385794017036377296623661544829254857450929578869859984879509552150362154074112 binary64)) (.f64 (/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 x y)) (.f64 (/.f64 z (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z)) (*.f64 x y)))
(if (<=.f64 z #s(literal 1999999999999999960006936694788402363337610385794017036377296623661544829254857450929578869859984879509552150362154074112 binary64)) (.f64 (/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))) (.f64 x y)) (.f64 (.f64 x y) (/.f64 z (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))))
(if (<=.f64 z #s(literal 5189198334129619/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (.f64 a (neg.f64 t)))) (if (<=.f64 z #s(literal 2050000000000000002010209161971953265123942432352997602222322586158354520066019625707622268265574652810138824936064548864 binary64)) (.f64 y (/.f64 (.f64 x z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 a t))))) (.f64 (/.f64 z (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z)) (.f64 x y))))
(if (<=.f64 z #s(literal 5189198334129619/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (/.f64 (.f64 x (.f64 z y)) (sqrt.f64 (.f64 t (neg.f64 a)))) (if (<=.f64 z #s(literal 2050000000000000002010209161971953265123942432352997602222322586158354520066019625707622268265574652810138824936064548864 binary64)) (.f64 y (/.f64 (.f64 z x) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) (.f64 (.f64 x y) (/.f64 z (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z)))))
(if (<=.f64 z #s(literal 8574138474378641/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (.f64 a (neg.f64 t)))) (.f64 (/.f64 z (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z)) (.f64 x y)))
(if (<=.f64 z #s(literal 8574138474378641/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (/.f64 (.f64 x (.f64 z y)) (sqrt.f64 (.f64 t (neg.f64 a)))) (.f64 (.f64 x y) (/.f64 z (fma.f64 a (/.f64 (.f64 t #s(literal -1/2 binary64)) z) z))))
(if (<=.f64 z #s(literal 8574138474378641/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (/.f64 (.f64 (.f64 y z) x) (sqrt.f64 (.f64 a (neg.f64 t)))) (.f64 x y))
(if (<=.f64 z #s(literal 8574138474378641/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (/.f64 (.f64 x (.f64 z y)) (sqrt.f64 (.f64 t (neg.f64 a)))) (.f64 x y))
(if (<=.f64 z #s(literal 2291665473376297/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (.f64 x (/.f64 (.f64 y z) (sqrt.f64 (.f64 t (neg.f64 a))))) (.f64 x y))
(if (<=.f64 z #s(literal 2291665473376297/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (.f64 x (/.f64 (.f64 z y) (sqrt.f64 (.f64 t (neg.f64 a))))) (.f64 x y))
(if (<=.f64 z #s(literal 7544142416635639/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448 binary64)) (.f64 y (/.f64 (.f64 x z) z)) (*.f64 x y))
(if (<=.f64 z #s(literal 7544142416635639/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448 binary64)) (.f64 y (/.f64 (.f64 z x) z)) (*.f64 x y))
(*.f64 x y)

soundness1.0s (7.6%)

Memory

-19.6MiB live, 579.7MiB allocated

Rules

8 704×	`-lowering-.f32`
8 704×	`-lowering-.f64`
7 510×	`accelerator-lowering-fma.f32`
7 510×	`accelerator-lowering-fma.f64`
6 466×	`-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
0	32	147
1	149	131
2	863	131
0	8472	128
0	495	3663
1	1609	3591
2	6478	3573
0	8266	3461
0	24	97
1	120	97
2	791	97
0	8319	95

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

Compiler

Compiled 797 to 419 computations (47.4% saved)

preprocess360.0ms (2.7%)

Memory: 21.5MiB live, 660.9MiB allocated
Compiler: Compiled 1 164 to 508 computations (56.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze845.0ms (6.2%)

sample1.4s (10.2%)

preprocess134.0ms (1%)

explain166.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify76.0ms (0.6%)

localize37.0ms (0.3%)

series150.0ms (1.1%)

rewrite524.0ms (3.9%)

simplify387.0ms (2.9%)

eval121.0ms (0.9%)

prune86.0ms (0.6%)

simplify361.0ms (2.7%)

localize84.0ms (0.6%)

series83.0ms (0.6%)

rewrite697.0ms (5.1%)

simplify510.0ms (3.8%)

eval249.0ms (1.8%)

prune841.0ms (6.2%)

simplify375.0ms (2.8%)

localize104.0ms (0.8%)

series38.0ms (0.3%)

rewrite350.0ms (2.6%)

simplify430.0ms (3.2%)

eval255.0ms (1.9%)

prune322.0ms (2.4%)

simplify532.0ms (3.9%)

localize93.0ms (0.7%)

series92.0ms (0.7%)

rewrite437.0ms (3.2%)

simplify337.0ms (2.5%)

eval242.0ms (1.8%)

prune244.0ms (1.8%)

regimes622.0ms (4.6%)

regimes17.0ms (0.1%)

regimes91.0ms (0.7%)

regimes27.0ms (0.2%)

regimes123.0ms (0.9%)

regimes39.0ms (0.3%)

regimes12.0ms (0.1%)

regimes117.0ms (0.9%)

regimes83.0ms (0.6%)

bsearch104.0ms (0.8%)

bsearch11.0ms (0.1%)

bsearch79.0ms (0.6%)

bsearch21.0ms (0.2%)

bsearch85.0ms (0.6%)

bsearch16.0ms (0.1%)

bsearch18.0ms (0.1%)

bsearch88.0ms (0.7%)

simplify11.0ms (0.1%)

soundness1.0s (7.6%)

preprocess360.0ms (2.7%)

end0.0ms (0%)

Profiling