Metrics for Data.Colour.Matrix:inverse from colour-2.3.3, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze176.0ms (1.8%)

Memory

9.6MiB live, 125.4MiB 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
50%	49.9%	49.9%	0.2%	0%	0%	0%	6
50%	49.9%	49.9%	0.2%	0%	0%	0%	7
50%	49.9%	49.9%	0.2%	0%	0%	0%	8
50%	49.9%	49.9%	0.2%	0%	0%	0%	9
50%	49.9%	49.9%	0.2%	0%	0%	0%	10
75%	74.8%	24.9%	0.2%	0%	0%	0%	11
75%	74.8%	24.9%	0.2%	0%	0%	0%	12

Compiler

Compiled 11 to 11 computations (0% saved)

sample1.3s (13.4%)

Memory

-29.8MiB live, 1 163.8MiB allocated

Samples

704.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 280.0ms

ival-mult: 151.0ms (53.9% of total)

ival-div: 68.0ms (24.3% of total)

ival-sub: 50.0ms (17.8% of total)

ival-true: 7.0ms (2.5% of total)

ival-assert: 4.0ms (1.4% of total)

Bogosity

explain271.0ms (2.8%)

Memory

4.3MiB live, 130.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
21	-	1	(-1.7011064554783287e-143 5.686412356688862e-295 -1.3460316810831635e-235 -3.4322028845653375e-85 7.621662947705504e-106)	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
1	-	0	-	`(-.f64 (.f64 x y) (.f64 z t))`
0	-	0	-	`a`
0	-	0	-	`t`
0	-	0	-	`(*.f64 z t)`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`y`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`	o/n	19	0
↳	`(*.f64 x y)`	overflow	32
↳	`(*.f64 z t)`	overflow	22
↳	`(-.f64 (.f64 x y) (.f64 z t))`	overflow	53
`/.f64`	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`	u/n	1	0
↳	`(*.f64 x y)`	underflow	27
↳	`(*.f64 z t)`	underflow	38
↳	`(-.f64 (.f64 x y) (.f64 z t))`	underflow	3
`-.f64`	`(-.f64 (.f64 x y) (.f64 z t))`	nan-rescue	1	0
↳	`(*.f64 x y)`	overflow	32
↳	`(*.f64 z t)`	overflow	22

Confusion

	Predicted +	Predicted -
+	21	1
-	0	234

Precision

1.0

Recall

0.9545454545454546

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	21	0	1
-	0	0	234

Precision?

1.0

Recall?

0.9545454545454546

Freqs

test

number	freq
0	235
1	21

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms

512×

valid

Compiler

Compiled 67 to 31 computations (53.7% saved)

Precisions

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

ival-mult: 7.0ms (52% of total)

ival-div: 3.0ms (22.3% of total)

ival-sub: 2.0ms (14.9% of total)

ival-true: 1.0ms (7.4% of total)

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

preprocess326.0ms (3.4%)

Memory

25.9MiB live, 100.4MiB allocated

Algorithm

1×	egg-herbie

Rules

1 388×	`unsub-neg`
1 116×	`div-sub`
1 108×	`distribute-rgt-in`
1 070×	`distribute-lft-in`
824×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	191
1	210	185
2	447	184
3	1465	184
4	3869	184
5	5187	184
6	5622	184
7	5742	184
8	5772	184
9	5788	184
10	6784	184
11	7224	184
12	7296	184
13	7296	184
14	7296	184
15	7408	184
16	7568	184
17	7632	184
18	7632	184
0	9	9
0	13	9
1	23	9
2	45	9
3	75	9
4	130	9
5	215	9
6	340	9
7	554	9
8	995	9
9	1582	9
10	1856	9
11	1894	9
12	1922	9
13	1922	9
0	1922	9

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs a)

(sort x y)

(sort z t)

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.9%	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

Compiler

Compiled 9 to 9 computations (0% saved)

simplify46.0ms (0.5%)

Memory

-6.4MiB live, 31.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

656×	`lower-fma.f64`
656×	`lower-fma.f32`
536×	`times-frac`
464×	`lower-*.f32`
460×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
0	13	27
1	23	27
2	45	27
3	75	27
4	130	27
5	215	27
6	340	27
7	554	27
8	995	27
9	1582	27
10	1856	27
11	1894	27
12	1922	27
13	1922	27
0	1922	27

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize78.0ms (0.8%)

Memory

4.7MiB live, 83.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z t)
accuracy	0	(*.f64 x y)
accuracy	0.2617166858302058	(-.f64 (.f64 x y) (.f64 z t))
accuracy	4.960628901224921	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

Samples

49.0ms

256×

valid

Compiler

Compiled 29 to 11 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sub: 15.0ms (72.7% of total)

ival-mult: 3.0ms (14.5% of total)

ival-div: 2.0ms (9.7% of total)

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

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

series83.0ms (0.9%)

Memory

-19.7MiB live, 51.7MiB allocated

Counts

4 → 156

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())

Outputs
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor inf a) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor inf a) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor inf a) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor inf a) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor -inf a) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor -inf a) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor -inf a) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor -inf a) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor 0 t) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a)) (taylor 0 t) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a)) (taylor 0 t) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a)) (taylor 0 t) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor inf t) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* -1 (/ z a)) (/ (* x y) (* a t)))) (taylor inf t) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* -1 (/ z a)) (/ (* x y) (* a t)))) (taylor inf t) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* -1 (/ z a)) (/ (* x y) (* a t)))) (taylor inf t) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* t (- (/ (* x y) t) z)) (taylor inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* t (- (/ (* x y) t) z)) (taylor inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* t (- (/ (* x y) t) z)) (taylor inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor -inf t) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a)))) (taylor -inf t) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a)))) (taylor -inf t) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a)))) (taylor -inf t) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor -inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor 0 z) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a)) (taylor 0 z) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a)) (taylor 0 z) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a)) (taylor 0 z) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor inf z) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ t a)) (/ (* x y) (* a z)))) (taylor inf z) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ t a)) (/ (* x y) (* a z)))) (taylor inf z) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ t a)) (/ (* x y) (* a z)))) (taylor inf z) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x y) z) t)) (taylor inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x y) z) t)) (taylor inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x y) z) t)) (taylor inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor -inf z) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a)))) (taylor -inf z) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a)))) (taylor -inf z) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a)))) (taylor -inf z) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor -inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor 0 y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) (* t z)) (taylor 0 y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) (* t z)) (taylor 0 y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) (* t z)) (taylor 0 y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor inf y) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ (* t z) (* a y))) (/ x a))) (taylor inf y) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ (* t z) (* a y))) (/ x a))) (taylor inf y) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ (* t z) (* a y))) (/ x a))) (taylor inf y) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ (* t z) y)))) (taylor inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ (* t z) y)))) (taylor inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ (* t z) y)))) (taylor inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor -inf y) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y))))) (taylor -inf y) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y))))) (taylor -inf y) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y))))) (taylor -inf y) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ (* t z) y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ (* t z) y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ (* t z) y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor 0 x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) (* t z)) (taylor 0 x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) (* t z)) (taylor 0 x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) (* t z)) (taylor 0 x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor inf x) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (* t z) (* a x))) (/ y a))) (taylor inf x) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (* t z) (* a x))) (/ y a))) (taylor inf x) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (* t z) (* a x))) (/ y a))) (taylor inf x) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (patch (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
26.0ms	t	@	-inf	((/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* x y) (* z t))
2.0ms	x	@	inf	((/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* x y) (* z t))
1.0ms	z	@	0	((/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* x y) (* z t))
1.0ms	a	@	0	((/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* x y) (* z t))
1.0ms	y	@	-inf	((/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* x y) (* z t))

simplify213.0ms (2.2%)

Memory

15.2MiB live, 172.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 640×	`lower-fma.f64`
6 640×	`lower-fma.f32`
3 892×	`lower-*.f64`
3 892×	`lower-*.f32`
2 490×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	960
1	314	960
2	1016	960
3	3856	960
4	6581	960
0	8019	960

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

Outputs
(/ (- (* x y) (* t z)) a)
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(/ (- (* x y) (* t z)) a)
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(/ (- (* x y) (* t z)) a)
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(/ (- (* x y) (* t z)) a)
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(/ (- (* x y) (* t z)) a)
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(/ (- (* x y) (* t z)) a)
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(/ (- (* x y) (* t z)) a)
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(/ (- (* x y) (* t z)) a)
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(/ (- (* x y) (* t z)) a)
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(/ (- (* x y) (* t z)) a)
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(/ (- (* x y) (* t z)) a)
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(/ (- (* x y) (* t z)) a)
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(/ (* x y) a)
(/.f64 (*.f64 y x) a)
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* x y)
(*.f64 y x)
(+ (* -1 (* t z)) (* x y))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(+ (* -1 (* t z)) (* x y))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(+ (* -1 (* t z)) (* x y))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* t z)
(*.f64 z t)
(* t z)
(*.f64 z t)
(* t z)
(*.f64 z t)
(* t z)
(*.f64 z t)
(* -1 (/ (* t z) a))
(*.f64 (neg.f64 t) (/.f64 z a))
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* -1 (* t z))
(*.f64 (neg.f64 t) z)
(* t (- (/ (* x y) t) z))
(.f64 (-.f64 (/.f64 (.f64 y x) t) z) t)
(* t (- (/ (* x y) t) z))
(.f64 (-.f64 (/.f64 (.f64 y x) t) z) t)
(* t (- (/ (* x y) t) z))
(.f64 (-.f64 (/.f64 (.f64 y x) t) z) t)
(* t z)
(*.f64 z t)
(* t z)
(*.f64 z t)
(* t z)
(*.f64 z t)
(* t z)
(*.f64 z t)
(* -1 (/ (* t z) a))
(*.f64 (neg.f64 t) (/.f64 z a))
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* -1 (* t z))
(*.f64 (neg.f64 t) z)
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))
(.f64 (-.f64 (/.f64 (.f64 y x) t) z) t)
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))
(.f64 (-.f64 (/.f64 (.f64 y x) t) z) t)
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))
(.f64 (-.f64 (/.f64 (.f64 y x) t) z) t)
(* t z)
(*.f64 z t)
(* t z)
(*.f64 z t)
(* t z)
(*.f64 z t)
(* t z)
(*.f64 z t)
(/ (* x y) a)
(/.f64 (*.f64 y x) a)
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* x y)
(*.f64 y x)
(+ (* -1 (* t z)) (* x y))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(+ (* -1 (* t z)) (* x y))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(+ (* -1 (* t z)) (* x y))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* t z)
(*.f64 z t)
(* t z)
(*.f64 z t)
(* t z)
(*.f64 z t)
(* t z)
(*.f64 z t)
(* -1 (/ (* t z) a))
(*.f64 (neg.f64 t) (/.f64 z a))
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* -1 (* t z))
(*.f64 (neg.f64 t) z)
(* z (- (/ (* x y) z) t))
(.f64 (-.f64 (/.f64 (.f64 y x) z) t) z)
(* z (- (/ (* x y) z) t))
(.f64 (-.f64 (/.f64 (.f64 y x) z) t) z)
(* z (- (/ (* x y) z) t))
(.f64 (-.f64 (/.f64 (.f64 y x) z) t) z)
(* t z)
(*.f64 z t)
(* t z)
(*.f64 z t)
(* t z)
(*.f64 z t)
(* t z)
(*.f64 z t)
(* -1 (/ (* t z) a))
(*.f64 (neg.f64 t) (/.f64 z a))
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* -1 (* t z))
(*.f64 (neg.f64 t) z)
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(.f64 (-.f64 (/.f64 (.f64 y x) z) t) z)
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(.f64 (-.f64 (/.f64 (.f64 y x) z) t) z)
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(.f64 (-.f64 (/.f64 (.f64 y x) z) t) z)
(* t z)
(*.f64 z t)
(* t z)
(*.f64 z t)
(* t z)
(*.f64 z t)
(* t z)
(*.f64 z t)
(* -1 (/ (* t z) a))
(*.f64 (neg.f64 t) (/.f64 z a))
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* -1 (* t z))
(*.f64 (neg.f64 t) z)
(- (* x y) (* t z))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(- (* x y) (* t z))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(- (* x y) (* t z))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x y) a)
(/.f64 (*.f64 y x) a)
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (/ (* t z) y))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* y (+ x (* -1 (/ (* t z) y))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* y (+ x (* -1 (/ (* t z) y))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x y) a)
(/.f64 (*.f64 y x) a)
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (/ (* t z) a))
(*.f64 (neg.f64 t) (/.f64 z a))
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* -1 (* t z))
(*.f64 (neg.f64 t) z)
(- (* x y) (* t z))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(- (* x y) (* t z))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(- (* x y) (* t z))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x y) a)
(/.f64 (*.f64 y x) a)
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* x y)
(*.f64 y x)
(* x (+ y (* -1 (/ (* t z) x))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* x (+ y (* -1 (/ (* t z) x))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* x (+ y (* -1 (/ (* t z) x))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x y) a)
(/.f64 (*.f64 y x) a)
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite205.0ms (2.1%)

Memory

-11.8MiB live, 239.8MiB allocated

Rules

6 256×	`lower-*.f32`
6 252×	`lower-*.f64`
3 936×	`lower-fma.f64`
3 936×	`lower-fma.f32`
3 328×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
0	13	22
1	44	22
2	313	22
3	3287	22
0	8826	22

Stop Event

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

Counts

4 → 399

Calls

Call 1

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

Outputs
#<batchref>
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eval65.0ms (0.7%)

Memory: -3.7MiB live, 151.2MiB allocated
Compiler: Compiled 12 242 to 1 211 computations (90.1% saved)

prune21.0ms (0.2%)

Memory

30.8MiB live, 70.1MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	543	12	555
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	543	13	556

Accuracy

100.0%

Counts

556 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.0%	(fma.f64 (/.f64 y a) x (*.f64 (neg.f64 t) (/.f64 z a)))
▶	87.9%	(fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 (*.f64 y x) a))
	46.1%	(pow.f64 (pow.f64 (/.f64 a (fma.f64 (neg.f64 t) z (*.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶	92.2%	(/.f64 (fma.f64 y x (*.f64 (neg.f64 t) z)) a)
	53.3%	(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (.f64 (fma.f64 t z (.f64 y x)) a))
✓	91.9%	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
▶	55.7%	(/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 a (*.f64 y x)) a))
▶	50.5%	(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) a)
▶	50.6%	(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 y x)) a)
	91.5%	(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (fma.f64 (neg.f64 t) z (.f64 y x)) #s(literal -1 binary64)) (neg.f64 a)))
	92.2%	(.f64 (fma.f64 (neg.f64 y) x (.f64 t z)) (/.f64 #s(literal -1 binary64) a))
	58.1%	(.f64 (-.f64 (.f64 a (.f64 y x)) (.f64 a (*.f64 t z))) (pow.f64 a #s(literal -2 binary64)))
	50.7%	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 z a)))

Compiler

Compiled 295 to 271 computations (8.1% saved)

simplify174.0ms (1.8%)

Memory

-12.3MiB live, 181.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 a (*.f64 y x))
cost-diff	384	(-.f64 a (.f64 (/.f64 a (.f64 y x)) (*.f64 t z)))
cost-diff	2368	(/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 a (*.f64 y x)) a))
cost-diff	0	(/.f64 (*.f64 y x) a)
cost-diff	0	(/.f64 t a)
cost-diff	0	(neg.f64 z)
cost-diff	704	(fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 (*.f64 y x) a))
cost-diff	0	(neg.f64 t)
cost-diff	0	(*.f64 (neg.f64 t) z)
cost-diff	0	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z))
cost-diff	0	(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) a)
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (- (* x y) (* z t)) (*.f64 y x))
cost-diff	0	(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 y x)) a)
cost-diff	0	(neg.f64 t)
cost-diff	0	(*.f64 (neg.f64 t) z)
cost-diff	0	(fma.f64 y x (*.f64 (neg.f64 t) z))
cost-diff	0	(/.f64 (fma.f64 y x (*.f64 (neg.f64 t) z)) a)

Rules

15 478×	`lower-fma.f32`
15 474×	`lower-fma.f64`
5 028×	`lower-*.f32`
5 018×	`lower-*.f64`
4 020×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	183
0	45	171
1	90	171
2	228	171
3	952	171
4	5634	171
0	8441	171

Stop Event

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

Calls

Call 1

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

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

localize100.0ms (1%)

Memory

-20.8MiB live, 191.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.8818974116360305	(.f64 (/.f64 a (.f64 y x)) a)
accuracy	5.0997503892361395	(/.f64 a (*.f64 y x))
accuracy	9.295729814027148	(.f64 (/.f64 a (.f64 y x)) (*.f64 t z))
accuracy	19.73316044193828	(/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 a (*.f64 y x)) a))
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 z)
accuracy	5.072003564174586	(/.f64 (*.f64 y x) a)
accuracy	5.302284099838871	(fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 (*.f64 y x) a))
accuracy	0	(*.f64 (neg.f64 t) z)
accuracy	0	(neg.f64 t)
accuracy	4.960628901224921	(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) a)
accuracy	31.334482436376582	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z))
accuracy	0	(*.f64 y x)
accuracy	4.960628901224921	(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 y x)) a)
accuracy	30.27952366520211	#s(approx (- (* x y) (* z t)) (*.f64 y x))
accuracy	0	(*.f64 (neg.f64 t) z)
accuracy	0	(neg.f64 t)
accuracy	0.00390625	(fma.f64 y x (*.f64 (neg.f64 t) z))
accuracy	4.960628901224921	(/.f64 (fma.f64 y x (*.f64 (neg.f64 t) z)) a)

Samples

80.0ms

256×

valid

Compiler

Compiled 170 to 27 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 17.0ms (43.5% of total)

ival-div: 16.0ms (40.9% of total)

ival-sub: 2.0ms (5.1% of total)

ival-add: 2.0ms (5.1% of total)

ival-neg: 2.0ms (5.1% of total)

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

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

series127.0ms (1.3%)

Memory

15.1MiB live, 167.8MiB allocated

Counts

18 → 768

Calls

Call 1

Inputs
#s(alt (/.f64 (fma.f64 y x (.f64 (neg.f64 t) z)) a) (patch (/.f64 (fma.f64 y x (.f64 (neg.f64 t) z)) a) #<representation binary64>) () ())
#s(alt (fma.f64 y x (.f64 (neg.f64 t) z)) (patch (fma.f64 y x (.f64 (neg.f64 t) z)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 t) z) (patch (.f64 (neg.f64 t) z) #<representation binary64>) () ())
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (* x y) (* z t)) (.f64 y x)) a) (patch (/.f64 #s(approx (- ( x y) (* z t)) (*.f64 y x)) a) #<representation binary64>) () ())
#s(alt #s(approx (- (* x y) (* z t)) (.f64 y x)) (patch #s(approx (- ( x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) a) (patch (/.f64 #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) a) #<representation binary64>) () ())
#s(alt #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) (patch #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 (.f64 y x) a)) (patch (fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 (.f64 y x) a)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (/.f64 t a) (patch (/.f64 t a) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 y x) a) (patch (/.f64 (.f64 y x) a) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 a (.f64 y x)) a)) (patch (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 a (.f64 y x)) a)) #<representation binary64>) () ())
#s(alt (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (patch (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) #<representation binary64>) () ())
#s(alt (/.f64 a (.f64 y x)) (patch (/.f64 a (.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) (patch (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 a (.f64 y x)) a) (patch (.f64 (/.f64 a (.f64 y x)) a) #<representation binary64>) () ())

Outputs
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor 0 a) (#s(alt (/.f64 (fma.f64 y x (.f64 (neg.f64 t) z)) a) (patch (/.f64 (fma.f64 y x (.f64 (neg.f64 t) z)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor 0 a) (#s(alt (/.f64 (fma.f64 y x (.f64 (neg.f64 t) z)) a) (patch (/.f64 (fma.f64 y x (.f64 (neg.f64 t) z)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor 0 a) (#s(alt (/.f64 (fma.f64 y x (.f64 (neg.f64 t) z)) a) (patch (/.f64 (fma.f64 y x (.f64 (neg.f64 t) z)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor 0 a) (#s(alt (/.f64 (fma.f64 y x (.f64 (neg.f64 t) z)) a) (patch (/.f64 (fma.f64 y x (.f64 (neg.f64 t) z)) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (* x y) (* z t)) (.f64 y x)) a) (patch (/.f64 #s(approx (- ( x y) (* z t)) (*.f64 y x)) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (* x y) (* z t)) (.f64 y x)) a) (patch (/.f64 #s(approx (- ( x y) (* z t)) (*.f64 y x)) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (* x y) (* z t)) (.f64 y x)) a) (patch (/.f64 #s(approx (- ( x y) (* z t)) (*.f64 y x)) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (* x y) (* z t)) (.f64 y x)) a) (patch (/.f64 #s(approx (- ( x y) (* z t)) (*.f64 y x)) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) a) (patch (/.f64 #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) a) (patch (/.f64 #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) a) (patch (/.f64 #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) a) (patch (/.f64 #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 (.f64 y x) a)) (patch (fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 (.f64 y x) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 (.f64 y x) a)) (patch (fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 (.f64 y x) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 (.f64 y x) a)) (patch (fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 (.f64 y x) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 (.f64 y x) a)) (patch (fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 (.f64 y x) a)) #<representation binary64>) () ())) ())
#s(alt (/ t a) (taylor 0 a) (#s(alt (/.f64 t a) (patch (/.f64 t a) #<representation binary64>) () ())) ())
#s(alt (/ t a) (taylor 0 a) (#s(alt (/.f64 t a) (patch (/.f64 t a) #<representation binary64>) () ())) ())
#s(alt (/ t a) (taylor 0 a) (#s(alt (/.f64 t a) (patch (/.f64 t a) #<representation binary64>) () ())) ())
#s(alt (/ t a) (taylor 0 a) (#s(alt (/.f64 t a) (patch (/.f64 t a) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor 0 a) (#s(alt (/.f64 (.f64 y x) a) (patch (/.f64 (.f64 y x) a) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor 0 a) (#s(alt (/.f64 (.f64 y x) a) (patch (/.f64 (.f64 y x) a) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor 0 a) (#s(alt (/.f64 (.f64 y x) a) (patch (/.f64 (.f64 y x) a) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor 0 a) (#s(alt (/.f64 (.f64 y x) a) (patch (/.f64 (.f64 y x) a) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (- 1 (/ (* t z) (* x y))))) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 a (.f64 y x)) a)) (patch (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 a (.f64 y x)) a)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (- 1 (/ (* t z) (* x y))))) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 a (.f64 y x)) a)) (patch (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 a (.f64 y x)) a)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (- 1 (/ (* t z) (* x y))))) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 a (.f64 y x)) a)) (patch (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 a (.f64 y x)) a)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 a (.f64 y x)) a)) (patch (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 a (.f64 y x)) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 a (.f64 y x)) a)) (patch (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 a (.f64 y x)) a)) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf x) (#s(alt (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (patch (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (+ a (* -1 (/ (* a (* t z)) (* x y)))) (taylor -inf x) (#s(alt (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (patch (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (+ a (* -1 (/ (* a (* t z)) (* x y)))) (taylor -inf x) (#s(alt (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (patch (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (+ a (* -1 (/ (* a (* t z)) (* x y)))) (taylor -inf x) (#s(alt (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (patch (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor -inf x) (#s(alt (/.f64 a (.f64 y x)) (patch (/.f64 a (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor -inf x) (#s(alt (/.f64 a (.f64 y x)) (patch (/.f64 a (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor -inf x) (#s(alt (/.f64 a (.f64 y x)) (patch (/.f64 a (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor -inf x) (#s(alt (/.f64 a (.f64 y x)) (patch (/.f64 a (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* a (* t z)) (* x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) (patch (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ (* a (* t z)) (* x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) (patch (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ (* a (* t z)) (* x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) (patch (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ (* a (* t z)) (* x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) (patch (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow a 2) (* x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 a (.f64 y x)) a) (patch (.f64 (/.f64 a (.f64 y x)) a) #<representation binary64>) () ())) ())
#s(alt (/ (pow a 2) (* x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 a (.f64 y x)) a) (patch (.f64 (/.f64 a (.f64 y x)) a) #<representation binary64>) () ())) ())
#s(alt (/ (pow a 2) (* x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 a (.f64 y x)) a) (patch (.f64 (/.f64 a (.f64 y x)) a) #<representation binary64>) () ())) ())
#s(alt (/ (pow a 2) (* x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 a (.f64 y x)) a) (patch (.f64 (/.f64 a (.f64 y x)) a) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
30.0ms	a	@	-inf	((/ (+ (* y x) (* (neg t) z)) a) (+ (* y x) (* (neg t) z)) (* (neg t) z) (neg t) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* y x) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (+ (* (neg z) (/ t a)) (/ (* y x) a)) (neg z) (/ t a) (/ (* y x) a) (/ (- a (* (/ a (* y x)) (* t z))) (* (/ a (* y x)) a)) (- a (* (/ a (* y x)) (* t z))) (/ a (* y x)) (* (/ a (* y x)) (* t z)) (* (/ a (* y x)) a))
20.0ms	y	@	inf	((/ (+ (* y x) (* (neg t) z)) a) (+ (* y x) (* (neg t) z)) (* (neg t) z) (neg t) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* y x) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (+ (* (neg z) (/ t a)) (/ (* y x) a)) (neg z) (/ t a) (/ (* y x) a) (/ (- a (* (/ a (* y x)) (* t z))) (* (/ a (* y x)) a)) (- a (* (/ a (* y x)) (* t z))) (/ a (* y x)) (* (/ a (* y x)) (* t z)) (* (/ a (* y x)) a))
10.0ms	y	@	-inf	((/ (+ (* y x) (* (neg t) z)) a) (+ (* y x) (* (neg t) z)) (* (neg t) z) (neg t) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* y x) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (+ (* (neg z) (/ t a)) (/ (* y x) a)) (neg z) (/ t a) (/ (* y x) a) (/ (- a (* (/ a (* y x)) (* t z))) (* (/ a (* y x)) a)) (- a (* (/ a (* y x)) (* t z))) (/ a (* y x)) (* (/ a (* y x)) (* t z)) (* (/ a (* y x)) a))
6.0ms	x	@	-inf	((/ (+ (* y x) (* (neg t) z)) a) (+ (* y x) (* (neg t) z)) (* (neg t) z) (neg t) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* y x) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (+ (* (neg z) (/ t a)) (/ (* y x) a)) (neg z) (/ t a) (/ (* y x) a) (/ (- a (* (/ a (* y x)) (* t z))) (* (/ a (* y x)) a)) (- a (* (/ a (* y x)) (* t z))) (/ a (* y x)) (* (/ a (* y x)) (* t z)) (* (/ a (* y x)) a))
5.0ms	a	@	0	((/ (+ (* y x) (* (neg t) z)) a) (+ (* y x) (* (neg t) z)) (* (neg t) z) (neg t) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* y x) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (+ (* (neg z) (/ t a)) (/ (* y x) a)) (neg z) (/ t a) (/ (* y x) a) (/ (- a (* (/ a (* y x)) (* t z))) (* (/ a (* y x)) a)) (- a (* (/ a (* y x)) (* t z))) (/ a (* y x)) (* (/ a (* y x)) (* t z)) (* (/ a (* y x)) a))

simplify148.0ms (1.5%)

Memory

12.1MiB live, 241.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 982×	`lower-fma.f64`
7 982×	`lower-fma.f32`
3 958×	`lower-*.f64`
3 958×	`lower-*.f32`
2 302×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	5430
1	526	5430
2	1658	5430
3	4475	5430
0	8272	5430

Stop Event

1×	iter limit
1×	node limit

Counts

768 → 762

Calls

Call 1

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

Outputs
(/ (+ (* -1 (* t z)) (* x y)) a)
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(/ (+ (* -1 (* t z)) (* x y)) a)
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(/ (+ (* -1 (* t z)) (* x y)) a)
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(/ (+ (* -1 (* t z)) (* x y)) a)
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(/ (- (* x y) (* t z)) a)
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(/ (- (* x y) (* t z)) a)
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(/ (- (* x y) (* t z)) a)
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(/ (- (* x y) (* t z)) a)
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(/ (- (* x y) (* t z)) a)
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(/ (- (* x y) (* t z)) a)
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(/ (- (* x y) (* t z)) a)
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(/ (+ (* -1 (* t z)) (* x y)) a)
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(/ (+ (* -1 (* t z)) (* x y)) a)
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(/ (+ (* -1 (* t z)) (* x y)) a)
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(/ (+ (* -1 (* t z)) (* x y)) a)
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(/ t a)
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(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
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(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(* a (- 1 (/ (* t z) (* x y))))
(fma.f64 (.f64 (/.f64 a (.f64 y x)) t) (neg.f64 z) a)
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(.f64 (.f64 (/.f64 t y) a) (/.f64 z x))
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(.f64 (.f64 (/.f64 t y) a) (/.f64 z x))
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(.f64 (.f64 (/.f64 t y) a) (/.f64 z x))
(/ (* a (* t z)) (* x y))
(.f64 (.f64 (/.f64 t y) a) (/.f64 z x))
(/ (pow a 2) (* x y))
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(/ (pow a 2) (* x y))
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(/ (pow a 2) (* x y))
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(/ (pow a 2) (* x y))
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(/ (+ (* -1 (* t z)) (* x y)) a)
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(/ (+ (* -1 (* t z)) (* x y)) a)
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(/ (+ (* -1 (* t z)) (* x y)) a)
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(/ (+ (* -1 (* t z)) (* x y)) a)
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(/ (- (* x y) (* t z)) a)
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(/ (- (* x y) (* t z)) a)
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(/ (- (* x y) (* t z)) a)
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(/ (- (* x y) (* t z)) a)
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(/ (- (* x y) (* t z)) a)
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(/ (- (* x y) (* t z)) a)
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(/ (- (* x y) (* t z)) a)
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(/ (+ (* -1 (* t z)) (* x y)) a)
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(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x y) a)
(/.f64 (*.f64 y x) a)
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(/ (* x y) a)
(/.f64 (*.f64 y x) a)
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(/ (* x y) a)
(/.f64 (*.f64 y x) a)
(/ (* x y) a)
(/.f64 (*.f64 y x) a)
(/ (* x y) a)
(/.f64 (*.f64 y x) a)
(/ (* x y) a)
(/.f64 (*.f64 y x) a)
(/ (* x y) a)
(/.f64 (*.f64 y x) a)
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
a
(+ a (* -1 (/ (* a (* t z)) (* x y))))
(fma.f64 (.f64 (/.f64 a (.f64 y x)) t) (neg.f64 z) a)
(+ a (* -1 (/ (* a (* t z)) (* x y))))
(fma.f64 (.f64 (/.f64 a (.f64 y x)) t) (neg.f64 z) a)
(+ a (* -1 (/ (* a (* t z)) (* x y))))
(fma.f64 (.f64 (/.f64 a (.f64 y x)) t) (neg.f64 z) a)
(/ a (* x y))
(/.f64 a (*.f64 y x))
(/ a (* x y))
(/.f64 a (*.f64 y x))
(/ a (* x y))
(/.f64 a (*.f64 y x))
(/ a (* x y))
(/.f64 a (*.f64 y x))
(/ (* a (* t z)) (* x y))
(.f64 (.f64 (/.f64 t y) a) (/.f64 z x))
(/ (* a (* t z)) (* x y))
(.f64 (.f64 (/.f64 t y) a) (/.f64 z x))
(/ (* a (* t z)) (* x y))
(.f64 (.f64 (/.f64 t y) a) (/.f64 z x))
(/ (* a (* t z)) (* x y))
(.f64 (.f64 (/.f64 t y) a) (/.f64 z x))
(/ (pow a 2) (* x y))
(.f64 (/.f64 a (.f64 y x)) a)
(/ (pow a 2) (* x y))
(.f64 (/.f64 a (.f64 y x)) a)
(/ (pow a 2) (* x y))
(.f64 (/.f64 a (.f64 y x)) a)
(/ (pow a 2) (* x y))
(.f64 (/.f64 a (.f64 y x)) a)

rewrite253.0ms (2.6%)

Memory

3.8MiB live, 443.2MiB allocated

Rules

6 380×	`lower-fma.f32`
6 376×	`lower-fma.f64`
5 344×	`lower-/.f32`
5 330×	`lower-/.f64`
5 004×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	147
0	45	135
1	184	135
2	1429	135
0	8563	135

Stop Event

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

Counts

18 → 1 603

Calls

Call 1

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

Outputs
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eval420.0ms (4.4%)

Memory: 3.5MiB live, 624.0MiB allocated
Compiler: Compiled 53 809 to 2 727 computations (94.9% saved)

prune205.0ms (2.1%)

Memory

-83.2MiB live, 196.7MiB allocated

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	2 577	6	2 583
Fresh	2	5	7
Picked	2	3	5
Done	0	1	1
Total	2 581	15	2 596

Accuracy

100.0%

Counts

2 596 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.0%	(fma.f64 (/.f64 y a) x (*.f64 (neg.f64 t) (/.f64 z a)))
▶	87.9%	(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 a t)) (/.f64 (*.f64 y x) a))
	46.1%	(pow.f64 (pow.f64 (/.f64 a (fma.f64 (neg.f64 t) z (*.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	56.2%	(/.f64 (fma.f64 (.f64 x y) (/.f64 a t) (.f64 a (neg.f64 z))) (*.f64 a (/.f64 a t)))
✓	92.2%	(/.f64 (fma.f64 y x (*.f64 (neg.f64 t) z)) a)
	53.3%	(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (.f64 (fma.f64 t z (.f64 y x)) a))
✓	91.9%	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
	47.8%	(/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (/.f64 (/.f64 (.f64 a a) y) x))
▶	59.3%	(/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 (/.f64 a x) y) a))
✓	50.5%	(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) a)
✓	50.6%	(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 y x)) a)
▶	50.6%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (* x y) (* z t)) (*.f64 x y))))
▶	92.2%	(.f64 (fma.f64 (neg.f64 y) x (.f64 t z)) (/.f64 #s(literal -1 binary64) a))
	49.8%	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z))
▶	50.7%	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 z a)))

Compiler

Compiled 321 to 291 computations (9.3% saved)

simplify172.0ms (1.8%)

Memory

-22.0MiB live, 170.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 a (*.f64 y x))
cost-diff	0	(-.f64 a (.f64 (/.f64 a (.f64 y x)) (*.f64 t z)))
cost-diff	384	(/.f64 (/.f64 a x) y)
cost-diff	2752	(/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 (/.f64 a x) y) a))
cost-diff	0	(/.f64 a t)
cost-diff	0	(neg.f64 z)
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 a t))
cost-diff	704	(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 a t)) (/.f64 (*.f64 y x) a))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (- (* x y) (* z t)) (*.f64 x y))
cost-diff	0	(/.f64 a #s(approx (- (* x y) (* z t)) (*.f64 x y)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (* x y) (* z t)) (*.f64 x y))))
cost-diff	0	(/.f64 z a)
cost-diff	0	(neg.f64 t)
cost-diff	0	(*.f64 (neg.f64 t) (/.f64 z a))
cost-diff	0	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 z a)))
cost-diff	0	(*.f64 t z)
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) x (*.f64 t z))
cost-diff	320	(.f64 (fma.f64 (neg.f64 y) x (.f64 t z)) (/.f64 #s(literal -1 binary64) a))

Rules

15 626×	`lower-fma.f32`
15 622×	`lower-fma.f64`
5 150×	`lower-*.f32`
5 136×	`lower-*.f64`
3 322×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	215
0	63	205
1	130	205
2	327	198
3	1260	195
4	5032	195
5	7673	195
0	8021	195

Stop Event

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

Calls

Call 1

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

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

localize96.0ms (1%)

Memory

6.0MiB live, 208.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.0997503892361395	(/.f64 a (*.f64 y x))
accuracy	6.206207980671616	(/.f64 (/.f64 a x) y)
accuracy	9.295729814027148	(.f64 (/.f64 a (.f64 y x)) (*.f64 t z))
accuracy	19.73316044193828	(/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 (/.f64 a x) y) a))
accuracy	0	(neg.f64 z)
accuracy	0.4363308574026144	(/.f64 #s(literal 1 binary64) (/.f64 a t))
accuracy	5.072003564174586	(/.f64 (*.f64 y x) a)
accuracy	5.302284099838871	(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 a t)) (/.f64 (*.f64 y x) a))
accuracy	0	(*.f64 x y)
accuracy	0.19921875	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (* x y) (* z t)) (*.f64 x y))))
accuracy	5.068047376030954	(/.f64 a #s(approx (- (* x y) (* z t)) (*.f64 x y)))
accuracy	30.27952366520211	#s(approx (- (* x y) (* z t)) (*.f64 x y))
accuracy	0	(/.f64 z a)
accuracy	0	(neg.f64 t)
accuracy	5.537170013895153	(*.f64 (neg.f64 t) (/.f64 z a))
accuracy	29.10540327803485	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 z a)))
accuracy	0	(*.f64 t z)
accuracy	0	(neg.f64 y)
accuracy	0.00390625	(fma.f64 (neg.f64 y) x (*.f64 t z))
accuracy	5.00750390122495	(.f64 (fma.f64 (neg.f64 y) x (.f64 t z)) (/.f64 #s(literal -1 binary64) a))

Samples

70.0ms

256×

valid

Compiler

Compiled 201 to 38 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 20.0ms (42.7% of total)

ival-div: 19.0ms (40.6% of total)

ival-neg: 3.0ms (6.4% of total)

ival-sub: 2.0ms (4.3% of total)

ival-add: 2.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

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

series85.0ms (0.9%)

Memory

5.1MiB live, 156.3MiB allocated

Counts

22 → 876

Calls

Call 1

Inputs
#s(alt (.f64 (fma.f64 (neg.f64 y) x (.f64 t z)) (/.f64 #s(literal -1 binary64) a)) (patch (.f64 (fma.f64 (neg.f64 y) x (.f64 t z)) (/.f64 #s(literal -1 binary64) a)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 y) x (.f64 t z)) (patch (fma.f64 (neg.f64 y) x (.f64 t z)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (.f64 t z) (patch (.f64 t z) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (neg.f64 t) (/.f64 z a))) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 z a))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 t) (/.f64 z a)) (patch (.f64 (neg.f64 t) (/.f64 z a)) #<representation binary64>) () ())
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())
#s(alt (/.f64 z a) (patch (/.f64 z a) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (* x y) (* z t)) (.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- ( x y) (* z t)) (*.f64 x y)))) #<representation binary64>) () ())
#s(alt (/.f64 a #s(approx (- (* x y) (* z t)) (.f64 x y))) (patch (/.f64 a #s(approx (- ( x y) (* z t)) (*.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x y) (* z t)) (.f64 x y)) (patch #s(approx (- ( x y) (* z t)) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 a t)) (/.f64 (.f64 y x) a)) (patch (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 a t)) (/.f64 (.f64 y x) a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a t)) (patch (/.f64 #s(literal 1 binary64) (/.f64 a t)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (/.f64 a t) (patch (/.f64 a t) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 (/.f64 a x) y) a)) (patch (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 (/.f64 a x) y) a)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 a x) y) (patch (/.f64 (/.f64 a x) y) #<representation binary64>) () ())
#s(alt (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (patch (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) #<representation binary64>) () ())
#s(alt (/.f64 a (.f64 y x)) (patch (/.f64 a (.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 y x) a) (patch (/.f64 (.f64 y x) a) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) (patch (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (/ (+ (* -1 (* x y)) (* t z)) a)) (taylor 0 a) (#s(alt (.f64 (fma.f64 (neg.f64 y) x (.f64 t z)) (/.f64 #s(literal -1 binary64) a)) (patch (.f64 (fma.f64 (neg.f64 y) x (.f64 t z)) (/.f64 #s(literal -1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* x y)) (* t z)) a)) (taylor 0 a) (#s(alt (.f64 (fma.f64 (neg.f64 y) x (.f64 t z)) (/.f64 #s(literal -1 binary64) a)) (patch (.f64 (fma.f64 (neg.f64 y) x (.f64 t z)) (/.f64 #s(literal -1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* x y)) (* t z)) a)) (taylor 0 a) (#s(alt (.f64 (fma.f64 (neg.f64 y) x (.f64 t z)) (/.f64 #s(literal -1 binary64) a)) (patch (.f64 (fma.f64 (neg.f64 y) x (.f64 t z)) (/.f64 #s(literal -1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* x y)) (* t z)) a)) (taylor 0 a) (#s(alt (.f64 (fma.f64 (neg.f64 y) x (.f64 t z)) (/.f64 #s(literal -1 binary64) a)) (patch (.f64 (fma.f64 (neg.f64 y) x (.f64 t z)) (/.f64 #s(literal -1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (neg.f64 t) (/.f64 z a))) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 z a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (neg.f64 t) (/.f64 z a))) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 z a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (neg.f64 t) (/.f64 z a))) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 z a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (neg.f64 t) (/.f64 z a))) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 z a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor 0 a) (#s(alt (.f64 (neg.f64 t) (/.f64 z a)) (patch (.f64 (neg.f64 t) (/.f64 z a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor 0 a) (#s(alt (.f64 (neg.f64 t) (/.f64 z a)) (patch (.f64 (neg.f64 t) (/.f64 z a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor 0 a) (#s(alt (.f64 (neg.f64 t) (/.f64 z a)) (patch (.f64 (neg.f64 t) (/.f64 z a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor 0 a) (#s(alt (.f64 (neg.f64 t) (/.f64 z a)) (patch (.f64 (neg.f64 t) (/.f64 z a)) #<representation binary64>) () ())) ())
#s(alt (/ z a) (taylor 0 a) (#s(alt (/.f64 z a) (patch (/.f64 z a) #<representation binary64>) () ())) ())
#s(alt (/ z a) (taylor 0 a) (#s(alt (/.f64 z a) (patch (/.f64 z a) #<representation binary64>) () ())) ())
#s(alt (/ z a) (taylor 0 a) (#s(alt (/.f64 z a) (patch (/.f64 z a) #<representation binary64>) () ())) ())
#s(alt (/ z a) (taylor 0 a) (#s(alt (/.f64 z a) (patch (/.f64 z a) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (* x y) (* z t)) (.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- ( x y) (* z t)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (* x y) (* z t)) (.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- ( x y) (* z t)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (* x y) (* z t)) (.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- ( x y) (* z t)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (* x y) (* z t)) (.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- ( x y) (* z t)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ a (- (* x y) (* t z))) (taylor 0 a) (#s(alt (/.f64 a #s(approx (- (* x y) (* z t)) (.f64 x y))) (patch (/.f64 a #s(approx (- ( x y) (* z t)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ a (- (* x y) (* t z))) (taylor 0 a) (#s(alt (/.f64 a #s(approx (- (* x y) (* z t)) (.f64 x y))) (patch (/.f64 a #s(approx (- ( x y) (* z t)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ a (- (* x y) (* t z))) (taylor 0 a) (#s(alt (/.f64 a #s(approx (- (* x y) (* z t)) (.f64 x y))) (patch (/.f64 a #s(approx (- ( x y) (* z t)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ a (- (* x y) (* t z))) (taylor 0 a) (#s(alt (/.f64 a #s(approx (- (* x y) (* z t)) (.f64 x y))) (patch (/.f64 a #s(approx (- ( x y) (* z t)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 a t)) (/.f64 (.f64 y x) a)) (patch (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 a t)) (/.f64 (.f64 y x) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 a t)) (/.f64 (.f64 y x) a)) (patch (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 a t)) (/.f64 (.f64 y x) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 a t)) (/.f64 (.f64 y x) a)) (patch (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 a t)) (/.f64 (.f64 y x) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 a t)) (/.f64 (.f64 y x) a)) (patch (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 a t)) (/.f64 (.f64 y x) a)) #<representation binary64>) () ())) ())
#s(alt (/ t a) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a t)) (patch (/.f64 #s(literal 1 binary64) (/.f64 a t)) #<representation binary64>) () ())) ())
#s(alt (/ t a) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a t)) (patch (/.f64 #s(literal 1 binary64) (/.f64 a t)) #<representation binary64>) () ())) ())
#s(alt (/ t a) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a t)) (patch (/.f64 #s(literal 1 binary64) (/.f64 a t)) #<representation binary64>) () ())) ())
#s(alt (/ t a) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a t)) (patch (/.f64 #s(literal 1 binary64) (/.f64 a t)) #<representation binary64>) () ())) ())
#s(alt (/ a t) (taylor 0 a) (#s(alt (/.f64 a t) (patch (/.f64 a t) #<representation binary64>) () ())) ())
#s(alt (/ a t) (taylor 0 a) (#s(alt (/.f64 a t) (patch (/.f64 a t) #<representation binary64>) () ())) ())
#s(alt (/ a t) (taylor 0 a) (#s(alt (/.f64 a t) (patch (/.f64 a t) #<representation binary64>) () ())) ())
#s(alt (/ a t) (taylor 0 a) (#s(alt (/.f64 a t) (patch (/.f64 a t) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (- 1 (/ (* t z) (* x y))))) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 (/.f64 a x) y) a)) (patch (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 (/.f64 a x) y) a)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (- 1 (/ (* t z) (* x y))))) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 (/.f64 a x) y) a)) (patch (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 (/.f64 a x) y) a)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (- 1 (/ (* t z) (* x y))))) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 (/.f64 a x) y) a)) (patch (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 (/.f64 a x) y) a)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (- 1 (/ (* t z) (* x y))))) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 (/.f64 a x) y) a)) (patch (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 (/.f64 a x) y) a)) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor 0 a) (#s(alt (/.f64 (/.f64 a x) y) (patch (/.f64 (/.f64 a x) y) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor 0 a) (#s(alt (/.f64 (/.f64 a x) y) (patch (/.f64 (/.f64 a x) y) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor 0 a) (#s(alt (/.f64 (/.f64 a x) y) (patch (/.f64 (/.f64 a x) y) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor 0 a) (#s(alt (/.f64 (/.f64 a x) y) (patch (/.f64 (/.f64 a x) y) #<representation binary64>) () ())) ())
#s(alt (* a (- 1 (/ (* t z) (* x y)))) (taylor 0 a) (#s(alt (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (patch (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* a (- 1 (/ (* t z) (* x y)))) (taylor 0 a) (#s(alt (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (patch (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* a (- 1 (/ (* t z) (* x y)))) (taylor 0 a) (#s(alt (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (patch (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* a (- 1 (/ (* t z) (* x y)))) (taylor 0 a) (#s(alt (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (patch (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor 0 a) (#s(alt (/.f64 a (.f64 y x)) (patch (/.f64 a (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor 0 a) (#s(alt (/.f64 a (.f64 y x)) (patch (/.f64 a (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor 0 a) (#s(alt (/.f64 a (.f64 y x)) (patch (/.f64 a (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor 0 a) (#s(alt (/.f64 a (.f64 y x)) (patch (/.f64 a (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor 0 a) (#s(alt (/.f64 (.f64 y x) a) (patch (/.f64 (.f64 y x) a) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor 0 a) (#s(alt (/.f64 (.f64 y x) a) (patch (/.f64 (.f64 y x) a) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor 0 a) (#s(alt (/.f64 (.f64 y x) a) (patch (/.f64 (.f64 y x) a) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor 0 a) (#s(alt (/.f64 (.f64 y x) a) (patch (/.f64 (.f64 y x) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a (* t z)) (* x y)) (taylor 0 a) (#s(alt (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) (patch (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ (* a (* t z)) (* x y)) (taylor 0 a) (#s(alt (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) (patch (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ (* a (* t z)) (* x y)) (taylor 0 a) (#s(alt (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) (patch (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ (* a (* t z)) (* x y)) (taylor 0 a) (#s(alt (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) (patch (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 x y)) (patch #s(approx (- ( x y) (* z t)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 a t)) (/.f64 (.f64 y x) a)) (patch (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 a t)) (/.f64 (.f64 y x) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 a t)) (/.f64 (.f64 y x) a)) (patch (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 a t)) (/.f64 (.f64 y x) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 a t)) (/.f64 (.f64 y x) a)) (patch (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 a t)) (/.f64 (.f64 y x) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 a t)) (/.f64 (.f64 y x) a)) (patch (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 a t)) (/.f64 (.f64 y x) a)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor -inf x) (#s(alt (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 (/.f64 a x) y) a)) (patch (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 (/.f64 a x) y) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 (/.f64 a x) y) a)) (patch (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 (/.f64 a x) y) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 (/.f64 a x) y) a)) (patch (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 (/.f64 a x) y) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 (/.f64 a x) y) a)) (patch (/.f64 (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (.f64 (/.f64 (/.f64 a x) y) a)) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 a x) y) (patch (/.f64 (/.f64 a x) y) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 a x) y) (patch (/.f64 (/.f64 a x) y) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 a x) y) (patch (/.f64 (/.f64 a x) y) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 a x) y) (patch (/.f64 (/.f64 a x) y) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf x) (#s(alt (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (patch (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (+ a (* -1 (/ (* a (* t z)) (* x y)))) (taylor -inf x) (#s(alt (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (patch (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (+ a (* -1 (/ (* a (* t z)) (* x y)))) (taylor -inf x) (#s(alt (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (patch (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (+ a (* -1 (/ (* a (* t z)) (* x y)))) (taylor -inf x) (#s(alt (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) (patch (-.f64 a (.f64 (/.f64 a (.f64 y x)) (.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor -inf x) (#s(alt (/.f64 a (.f64 y x)) (patch (/.f64 a (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor -inf x) (#s(alt (/.f64 a (.f64 y x)) (patch (/.f64 a (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor -inf x) (#s(alt (/.f64 a (.f64 y x)) (patch (/.f64 a (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor -inf x) (#s(alt (/.f64 a (.f64 y x)) (patch (/.f64 a (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor -inf x) (#s(alt (/.f64 (.f64 y x) a) (patch (/.f64 (.f64 y x) a) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor -inf x) (#s(alt (/.f64 (.f64 y x) a) (patch (/.f64 (.f64 y x) a) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor -inf x) (#s(alt (/.f64 (.f64 y x) a) (patch (/.f64 (.f64 y x) a) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor -inf x) (#s(alt (/.f64 (.f64 y x) a) (patch (/.f64 (.f64 y x) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a (* t z)) (* x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) (patch (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ (* a (* t z)) (* x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) (patch (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ (* a (* t z)) (* x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) (patch (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ (* a (* t z)) (* x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) (patch (.f64 (/.f64 a (.f64 y x)) (.f64 t z)) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
10.0ms	a	@	-inf	((* (+ (* (neg y) x) (* t z)) (/ -1 a)) (+ (* (neg y) x) (* t z)) (neg y) (* t z) (/ (- (* x y) (* z t)) a) (* (neg t) (/ z a)) (neg t) (/ z a) (/ 1 (/ a (- (* x y) (* z t)))) (/ a (- (* x y) (* z t))) (- (* x y) (* z t)) (* x y) (+ (* (neg z) (/ 1 (/ a t))) (/ (* y x) a)) (/ 1 (/ a t)) (neg z) (/ a t) (/ (- a (* (/ a (* y x)) (* t z))) (* (/ (/ a x) y) a)) (/ (/ a x) y) (- a (* (/ a (* y x)) (* t z))) (/ a (* y x)) (/ (* y x) a) (* (/ a (* y x)) (* t z)))
5.0ms	z	@	-inf	((* (+ (* (neg y) x) (* t z)) (/ -1 a)) (+ (* (neg y) x) (* t z)) (neg y) (* t z) (/ (- (* x y) (* z t)) a) (* (neg t) (/ z a)) (neg t) (/ z a) (/ 1 (/ a (- (* x y) (* z t)))) (/ a (- (* x y) (* z t))) (- (* x y) (* z t)) (* x y) (+ (* (neg z) (/ 1 (/ a t))) (/ (* y x) a)) (/ 1 (/ a t)) (neg z) (/ a t) (/ (- a (* (/ a (* y x)) (* t z))) (* (/ (/ a x) y) a)) (/ (/ a x) y) (- a (* (/ a (* y x)) (* t z))) (/ a (* y x)) (/ (* y x) a) (* (/ a (* y x)) (* t z)))
5.0ms	x	@	-inf	((* (+ (* (neg y) x) (* t z)) (/ -1 a)) (+ (* (neg y) x) (* t z)) (neg y) (* t z) (/ (- (* x y) (* z t)) a) (* (neg t) (/ z a)) (neg t) (/ z a) (/ 1 (/ a (- (* x y) (* z t)))) (/ a (- (* x y) (* z t))) (- (* x y) (* z t)) (* x y) (+ (* (neg z) (/ 1 (/ a t))) (/ (* y x) a)) (/ 1 (/ a t)) (neg z) (/ a t) (/ (- a (* (/ a (* y x)) (* t z))) (* (/ (/ a x) y) a)) (/ (/ a x) y) (- a (* (/ a (* y x)) (* t z))) (/ a (* y x)) (/ (* y x) a) (* (/ a (* y x)) (* t z)))
4.0ms	a	@	0	((* (+ (* (neg y) x) (* t z)) (/ -1 a)) (+ (* (neg y) x) (* t z)) (neg y) (* t z) (/ (- (* x y) (* z t)) a) (* (neg t) (/ z a)) (neg t) (/ z a) (/ 1 (/ a (- (* x y) (* z t)))) (/ a (- (* x y) (* z t))) (- (* x y) (* z t)) (* x y) (+ (* (neg z) (/ 1 (/ a t))) (/ (* y x) a)) (/ 1 (/ a t)) (neg z) (/ a t) (/ (- a (* (/ a (* y x)) (* t z))) (* (/ (/ a x) y) a)) (/ (/ a x) y) (- a (* (/ a (* y x)) (* t z))) (/ a (* y x)) (/ (* y x) a) (* (/ a (* y x)) (* t z)))
4.0ms	a	@	inf	((* (+ (* (neg y) x) (* t z)) (/ -1 a)) (+ (* (neg y) x) (* t z)) (neg y) (* t z) (/ (- (* x y) (* z t)) a) (* (neg t) (/ z a)) (neg t) (/ z a) (/ 1 (/ a (- (* x y) (* z t)))) (/ a (- (* x y) (* z t))) (- (* x y) (* z t)) (* x y) (+ (* (neg z) (/ 1 (/ a t))) (/ (* y x) a)) (/ 1 (/ a t)) (neg z) (/ a t) (/ (- a (* (/ a (* y x)) (* t z))) (* (/ (/ a x) y) a)) (/ (/ a x) y) (- a (* (/ a (* y x)) (* t z))) (/ a (* y x)) (/ (* y x) a) (* (/ a (* y x)) (* t z)))

simplify200.0ms (2.1%)

Memory

-9.3MiB live, 269.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 400×	`lower-*.f64`
6 400×	`lower-*.f32`
4 754×	`lower-fma.f64`
4 754×	`lower-fma.f32`
3 094×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	427	7930
1	1541	7604
2	6141	7480
0	8085	7422

Stop Event

1×	iter limit
1×	node limit

Counts

876 → 870

Calls

Call 1

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

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

rewrite201.0ms (2.1%)

Memory

14.0MiB live, 330.7MiB allocated

Rules

5 030×	`lower-/.f32`
5 008×	`lower-/.f64`
4 550×	`lower-*.f32`
4 536×	`lower-*.f64`
3 534×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	169
0	63	161
1	255	150
2	1887	150
0	8370	150

Stop Event

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

Counts

22 → 1 872

Calls

Call 1

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

Outputs
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eval1.1s (11.1%)

Memory: 1.1MiB live, 670.0MiB allocated
Compiler: Compiled 54 634 to 4 015 computations (92.7% saved)

prune107.0ms (1.1%)

Memory

-22.9MiB live, 210.4MiB allocated

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	2 760	8	2 768
Fresh	5	1	6
Picked	2	3	5
Done	0	4	4
Total	2 767	16	2 783

Accuracy

100.0%

Counts

2 783 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.0%	(fma.f64 (/.f64 y a) x (*.f64 (/.f64 (neg.f64 z) a) t))
	85.7%	(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 a x)) (neg.f64 y) (*.f64 (/.f64 (neg.f64 z) a) t))
✓	92.2%	(/.f64 (fma.f64 y x (*.f64 (neg.f64 t) z)) a)
✓	91.9%	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
✓	50.5%	(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) a)
✓	50.6%	(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 y x)) a)
✓	50.6%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (* x y) (* z t)) (*.f64 x y))))
✓	92.2%	(.f64 (fma.f64 (neg.f64 y) x (.f64 t z)) (/.f64 #s(literal -1 binary64) a))
▶	50.6%	(.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 #s(approx (- ( x y) (* z t)) (*.f64 x y))))
	50.5%	(.f64 #s(approx (+ ( (neg y) x) (* t z)) (*.f64 z t)) (/.f64 #s(literal -1 binary64) a))
	49.9%	#s(approx (/ (- (* x y) (* z t)) a) (/.f64 (neg.f64 z) (/.f64 a t)))
▶	74.9%	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z))
	74.3%	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (fma.f64 (/.f64 x t) (/.f64 y a) (/.f64 (neg.f64 z) a)) t))
▶	49.8%	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z))
✓	50.7%	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 z a)))
▶	50.7%	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z))))

Compiler

Compiled 243 to 259 computations (-6.6% saved)

simplify247.0ms (2.6%)

Memory

-2.9MiB live, 194.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x z)
cost-diff	0	(fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a))
cost-diff	0	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z))
cost-diff	1408	(*.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z)
cost-diff	0	(neg.f64 t)
cost-diff	0	(*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z)))
cost-diff	0	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 a z))
cost-diff	0	#s(approx (- (* x y) (* z t)) (*.f64 x y))
cost-diff	0	(neg.f64 #s(approx (- (* x y) (* z t)) (*.f64 x y)))
cost-diff	0	(/.f64 #s(literal -1 binary64) a)
cost-diff	448	(.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 #s(approx (- ( x y) (* z t)) (*.f64 x y))))
cost-diff	0	(neg.f64 t)
cost-diff	0	(/.f64 (neg.f64 t) a)
cost-diff	0	(*.f64 (/.f64 (neg.f64 t) a) z)
cost-diff	0	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z))
cost-diff	0	(/.f64 (neg.f64 z) a)
cost-diff	0	(*.f64 (/.f64 (neg.f64 z) a) t)
cost-diff	0	(/.f64 y a)
cost-diff	704	(fma.f64 (/.f64 y a) x (*.f64 (/.f64 (neg.f64 z) a) t))

Rules

9 112×	`lower-fma.f32`
9 108×	`lower-fma.f64`
2 640×	`lower-*.f32`
2 628×	`lower-*.f64`
1 560×	`div-sub`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	215
0	53	209
1	102	204
2	193	200
3	407	200
4	852	196
5	1910	196
6	3209	196
7	4229	196
8	4706	196
9	5148	196
10	5210	196
11	5270	196
12	6292	196
13	7098	196
14	7290	196
15	7536	196
16	7683	196
17	7775	196
18	7995	196
0	8167	196

Stop Event

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

Calls

Call 1

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

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

localize73.0ms (0.8%)

Memory

35.4MiB live, 73.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 t)
accuracy	0	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z))
accuracy	8.347706161942057	(*.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z)
accuracy	9.084724362713603	(fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a))
accuracy	0	(neg.f64 t)
accuracy	0.2934663665947169	(/.f64 #s(literal 1 binary64) (/.f64 a z))
accuracy	5.537170013895153	(*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z)))
accuracy	29.10540327803485	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z))))
accuracy	0	(*.f64 x y)
accuracy	0	(neg.f64 #s(approx (- (* x y) (* z t)) (*.f64 x y)))
accuracy	5.00750390122495	(.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 #s(approx (- ( x y) (* z t)) (*.f64 x y))))
accuracy	30.27952366520211	#s(approx (- (* x y) (* z t)) (*.f64 x y))
accuracy	0	(/.f64 (neg.f64 t) a)
accuracy	0	(neg.f64 t)
accuracy	5.479386849280114	(*.f64 (/.f64 (neg.f64 t) a) z)
accuracy	29.10540327803485	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z))
accuracy	0	(/.f64 y a)
accuracy	0	(neg.f64 z)
accuracy	5.23938411953686	(fma.f64 (/.f64 y a) x (*.f64 (/.f64 (neg.f64 z) a) t))
accuracy	5.537170013895153	(*.f64 (/.f64 (neg.f64 z) a) t)

Samples

53.0ms

256×

valid

Compiler

Compiled 178 to 32 computations (82% saved)

Precisions

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

ival-div: 13.0ms (39.1% of total)

ival-mult: 13.0ms (39.1% of total)

ival-neg: 3.0ms (9% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series118.0ms (1.2%)

Memory

-11.9MiB live, 65.8MiB allocated

Counts

21 → 804

Calls

Call 1

Inputs
#s(alt (fma.f64 (/.f64 y a) x (.f64 (/.f64 (neg.f64 z) a) t)) (patch (fma.f64 (/.f64 y a) x (.f64 (/.f64 (neg.f64 z) a) t)) #<representation binary64>) () ())
#s(alt (/.f64 y a) (patch (/.f64 y a) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (neg.f64 z) a) t) (patch (.f64 (/.f64 (neg.f64 z) a) t) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 z) a) (patch (/.f64 (neg.f64 z) a) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (/.f64 (neg.f64 t) a) z)) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (neg.f64 t) a) z) (patch (.f64 (/.f64 (neg.f64 t) a) z) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 t) a) (patch (/.f64 (neg.f64 t) a) #<representation binary64>) () ())
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 #s(approx (- ( x y) (* z t)) (.f64 x y)))) (patch (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 #s(approx (- (* x y) (* z t)) (*.f64 x y)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) a) (patch (/.f64 #s(literal -1 binary64) a) #<representation binary64>) () ())
#s(alt (neg.f64 #s(approx (- (* x y) (* z t)) (.f64 x y))) (patch (neg.f64 #s(approx (- ( x y) (* z t)) (*.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x y) (* z t)) (.f64 x y)) (patch #s(approx (- ( x y) (* z t)) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a z)) (patch (/.f64 #s(literal 1 binary64) (/.f64 a z)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z)))) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z)))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z))) (patch (.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z) (patch (.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z)) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) (patch (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())

Outputs
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 y a) x (.f64 (/.f64 (neg.f64 z) a) t)) (patch (fma.f64 (/.f64 y a) x (.f64 (/.f64 (neg.f64 z) a) t)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 y a) x (.f64 (/.f64 (neg.f64 z) a) t)) (patch (fma.f64 (/.f64 y a) x (.f64 (/.f64 (neg.f64 z) a) t)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 y a) x (.f64 (/.f64 (neg.f64 z) a) t)) (patch (fma.f64 (/.f64 y a) x (.f64 (/.f64 (neg.f64 z) a) t)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 y a) x (.f64 (/.f64 (neg.f64 z) a) t)) (patch (fma.f64 (/.f64 y a) x (.f64 (/.f64 (neg.f64 z) a) t)) #<representation binary64>) () ())) ())
#s(alt (/ y a) (taylor 0 a) (#s(alt (/.f64 y a) (patch (/.f64 y a) #<representation binary64>) () ())) ())
#s(alt (/ y a) (taylor 0 a) (#s(alt (/.f64 y a) (patch (/.f64 y a) #<representation binary64>) () ())) ())
#s(alt (/ y a) (taylor 0 a) (#s(alt (/.f64 y a) (patch (/.f64 y a) #<representation binary64>) () ())) ())
#s(alt (/ y a) (taylor 0 a) (#s(alt (/.f64 y a) (patch (/.f64 y a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor 0 a) (#s(alt (.f64 (/.f64 (neg.f64 z) a) t) (patch (.f64 (/.f64 (neg.f64 z) a) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor 0 a) (#s(alt (.f64 (/.f64 (neg.f64 z) a) t) (patch (.f64 (/.f64 (neg.f64 z) a) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor 0 a) (#s(alt (.f64 (/.f64 (neg.f64 z) a) t) (patch (.f64 (/.f64 (neg.f64 z) a) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor 0 a) (#s(alt (.f64 (/.f64 (neg.f64 z) a) t) (patch (.f64 (/.f64 (neg.f64 z) a) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z a)) (taylor 0 a) (#s(alt (/.f64 (neg.f64 z) a) (patch (/.f64 (neg.f64 z) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z a)) (taylor 0 a) (#s(alt (/.f64 (neg.f64 z) a) (patch (/.f64 (neg.f64 z) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z a)) (taylor 0 a) (#s(alt (/.f64 (neg.f64 z) a) (patch (/.f64 (neg.f64 z) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z a)) (taylor 0 a) (#s(alt (/.f64 (neg.f64 z) a) (patch (/.f64 (neg.f64 z) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (/.f64 (neg.f64 t) a) z)) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (/.f64 (neg.f64 t) a) z)) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (/.f64 (neg.f64 t) a) z)) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (/.f64 (neg.f64 t) a) z)) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor 0 a) (#s(alt (.f64 (/.f64 (neg.f64 t) a) z) (patch (.f64 (/.f64 (neg.f64 t) a) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor 0 a) (#s(alt (.f64 (/.f64 (neg.f64 t) a) z) (patch (.f64 (/.f64 (neg.f64 t) a) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor 0 a) (#s(alt (.f64 (/.f64 (neg.f64 t) a) z) (patch (.f64 (/.f64 (neg.f64 t) a) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor 0 a) (#s(alt (.f64 (/.f64 (neg.f64 t) a) z) (patch (.f64 (/.f64 (neg.f64 t) a) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ t a)) (taylor 0 a) (#s(alt (/.f64 (neg.f64 t) a) (patch (/.f64 (neg.f64 t) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ t a)) (taylor 0 a) (#s(alt (/.f64 (neg.f64 t) a) (patch (/.f64 (neg.f64 t) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ t a)) (taylor 0 a) (#s(alt (/.f64 (neg.f64 t) a) (patch (/.f64 (neg.f64 t) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ t a)) (taylor 0 a) (#s(alt (/.f64 (neg.f64 t) a) (patch (/.f64 (neg.f64 t) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* t z) (* x y)) a)) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 #s(approx (- ( x y) (* z t)) (.f64 x y)))) (patch (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 #s(approx (- (* x y) (* z t)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* t z) (* x y)) a)) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 #s(approx (- ( x y) (* z t)) (.f64 x y)))) (patch (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 #s(approx (- (* x y) (* z t)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* t z) (* x y)) a)) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 #s(approx (- ( x y) (* z t)) (.f64 x y)))) (patch (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 #s(approx (- (* x y) (* z t)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* t z) (* x y)) a)) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 #s(approx (- ( x y) (* z t)) (.f64 x y)))) (patch (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 #s(approx (- (* x y) (* z t)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 a) (taylor 0 a) (#s(alt (/.f64 #s(literal -1 binary64) a) (patch (/.f64 #s(literal -1 binary64) a) #<representation binary64>) () ())) ())
#s(alt (/ -1 a) (taylor 0 a) (#s(alt (/.f64 #s(literal -1 binary64) a) (patch (/.f64 #s(literal -1 binary64) a) #<representation binary64>) () ())) ())
#s(alt (/ -1 a) (taylor 0 a) (#s(alt (/.f64 #s(literal -1 binary64) a) (patch (/.f64 #s(literal -1 binary64) a) #<representation binary64>) () ())) ())
#s(alt (/ -1 a) (taylor 0 a) (#s(alt (/.f64 #s(literal -1 binary64) a) (patch (/.f64 #s(literal -1 binary64) a) #<representation binary64>) () ())) ())
#s(alt (/ z a) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a z)) (patch (/.f64 #s(literal 1 binary64) (/.f64 a z)) #<representation binary64>) () ())) ())
#s(alt (/ z a) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a z)) (patch (/.f64 #s(literal 1 binary64) (/.f64 a z)) #<representation binary64>) () ())) ())
#s(alt (/ z a) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a z)) (patch (/.f64 #s(literal 1 binary64) (/.f64 a z)) #<representation binary64>) () ())) ())
#s(alt (/ z a) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a z)) (patch (/.f64 #s(literal 1 binary64) (/.f64 a z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z)))) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z)))) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z)))) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z)))) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor 0 a) (#s(alt (.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z))) (patch (.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor 0 a) (#s(alt (.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z))) (patch (.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor 0 a) (#s(alt (.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z))) (patch (.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor 0 a) (#s(alt (.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z))) (patch (.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z))) #<representation binary64>) () ())) ())
#s(alt (/ (* z (+ (* -1 t) (/ (* x y) z))) a) (taylor 0 a) (#s(alt (.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z) (patch (.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* z (+ (* -1 t) (/ (* x y) z))) a) (taylor 0 a) (#s(alt (.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z) (patch (.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* z (+ (* -1 t) (/ (* x y) z))) a) (taylor 0 a) (#s(alt (.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z) (patch (.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* z (+ (* -1 t) (/ (* x y) z))) a) (taylor 0 a) (#s(alt (.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z) (patch (.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z)) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z)) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z)) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z)) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 t) (/ (* x y) z)) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) (patch (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 t) (/ (* x y) z)) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) (patch (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 t) (/ (* x y) z)) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) (patch (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 t) (/ (* x y) z)) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) (patch (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor inf a) (#s(alt (fma.f64 (/.f64 y a) x (.f64 (/.f64 (neg.f64 z) a) t)) (patch (fma.f64 (/.f64 y a) x (.f64 (/.f64 (neg.f64 z) a) t)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor inf a) (#s(alt (fma.f64 (/.f64 y a) x (.f64 (/.f64 (neg.f64 z) a) t)) (patch (fma.f64 (/.f64 y a) x (.f64 (/.f64 (neg.f64 z) a) t)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor inf a) (#s(alt (fma.f64 (/.f64 y a) x (.f64 (/.f64 (neg.f64 z) a) t)) (patch (fma.f64 (/.f64 y a) x (.f64 (/.f64 (neg.f64 z) a) t)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor inf a) (#s(alt (fma.f64 (/.f64 y a) x (.f64 (/.f64 (neg.f64 z) a) t)) (patch (fma.f64 (/.f64 y a) x (.f64 (/.f64 (neg.f64 z) a) t)) #<representation binary64>) () ())) ())
#s(alt (/ y a) (taylor inf a) (#s(alt (/.f64 y a) (patch (/.f64 y a) #<representation binary64>) () ())) ())
#s(alt (/ y a) (taylor inf a) (#s(alt (/.f64 y a) (patch (/.f64 y a) #<representation binary64>) () ())) ())
#s(alt (/ y a) (taylor inf a) (#s(alt (/.f64 y a) (patch (/.f64 y a) #<representation binary64>) () ())) ())
#s(alt (/ y a) (taylor inf a) (#s(alt (/.f64 y a) (patch (/.f64 y a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor inf a) (#s(alt (.f64 (/.f64 (neg.f64 z) a) t) (patch (.f64 (/.f64 (neg.f64 z) a) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor inf a) (#s(alt (.f64 (/.f64 (neg.f64 z) a) t) (patch (.f64 (/.f64 (neg.f64 z) a) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor inf a) (#s(alt (.f64 (/.f64 (neg.f64 z) a) t) (patch (.f64 (/.f64 (neg.f64 z) a) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor inf a) (#s(alt (.f64 (/.f64 (neg.f64 z) a) t) (patch (.f64 (/.f64 (neg.f64 z) a) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z a)) (taylor inf a) (#s(alt (/.f64 (neg.f64 z) a) (patch (/.f64 (neg.f64 z) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z a)) (taylor inf a) (#s(alt (/.f64 (neg.f64 z) a) (patch (/.f64 (neg.f64 z) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z a)) (taylor inf a) (#s(alt (/.f64 (neg.f64 z) a) (patch (/.f64 (neg.f64 z) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z a)) (taylor inf a) (#s(alt (/.f64 (neg.f64 z) a) (patch (/.f64 (neg.f64 z) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor inf a) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (/.f64 (neg.f64 t) a) z)) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor inf a) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (/.f64 (neg.f64 t) a) z)) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor inf a) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (/.f64 (neg.f64 t) a) z)) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor inf a) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (/.f64 (neg.f64 t) a) z)) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor inf a) (#s(alt (.f64 (/.f64 (neg.f64 t) a) z) (patch (.f64 (/.f64 (neg.f64 t) a) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor inf a) (#s(alt (.f64 (/.f64 (neg.f64 t) a) z) (patch (.f64 (/.f64 (neg.f64 t) a) z) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z)) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* a z)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) (patch (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* a z))) (/ t (* a x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) (patch (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* a z))) (/ t (* a x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) (patch (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* a z))) (/ t (* a x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) (patch (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
23.0ms	x	@	inf	((+ (* (/ y a) x) (* (/ (neg z) a) t)) (/ y a) (* (/ (neg z) a) t) (/ (neg z) a) (/ (- (* x y) (* z t)) a) (* (/ (neg t) a) z) (/ (neg t) a) (neg t) (* (/ -1 a) (neg (- (* x y) (* z t)))) (/ -1 a) (neg (- (* x y) (* z t))) (- (* x y) (* z t)) (/ 1 (/ a z)) (/ (- (* x y) (* z t)) a) (* (neg t) (/ 1 (/ a z))) (* (+ (* (/ x z) (/ y a)) (/ (neg t) a)) z) (/ (- (* x y) (* z t)) a) (+ (* (/ x z) (/ y a)) (/ (neg t) a)) (/ x z) (neg z) (* x y))
4.0ms	a	@	0	((+ (* (/ y a) x) (* (/ (neg z) a) t)) (/ y a) (* (/ (neg z) a) t) (/ (neg z) a) (/ (- (* x y) (* z t)) a) (* (/ (neg t) a) z) (/ (neg t) a) (neg t) (* (/ -1 a) (neg (- (* x y) (* z t)))) (/ -1 a) (neg (- (* x y) (* z t))) (- (* x y) (* z t)) (/ 1 (/ a z)) (/ (- (* x y) (* z t)) a) (* (neg t) (/ 1 (/ a z))) (* (+ (* (/ x z) (/ y a)) (/ (neg t) a)) z) (/ (- (* x y) (* z t)) a) (+ (* (/ x z) (/ y a)) (/ (neg t) a)) (/ x z) (neg z) (* x y))
3.0ms	a	@	inf	((+ (* (/ y a) x) (* (/ (neg z) a) t)) (/ y a) (* (/ (neg z) a) t) (/ (neg z) a) (/ (- (* x y) (* z t)) a) (* (/ (neg t) a) z) (/ (neg t) a) (neg t) (* (/ -1 a) (neg (- (* x y) (* z t)))) (/ -1 a) (neg (- (* x y) (* z t))) (- (* x y) (* z t)) (/ 1 (/ a z)) (/ (- (* x y) (* z t)) a) (* (neg t) (/ 1 (/ a z))) (* (+ (* (/ x z) (/ y a)) (/ (neg t) a)) z) (/ (- (* x y) (* z t)) a) (+ (* (/ x z) (/ y a)) (/ (neg t) a)) (/ x z) (neg z) (* x y))
3.0ms	a	@	-inf	((+ (* (/ y a) x) (* (/ (neg z) a) t)) (/ y a) (* (/ (neg z) a) t) (/ (neg z) a) (/ (- (* x y) (* z t)) a) (* (/ (neg t) a) z) (/ (neg t) a) (neg t) (* (/ -1 a) (neg (- (* x y) (* z t)))) (/ -1 a) (neg (- (* x y) (* z t))) (- (* x y) (* z t)) (/ 1 (/ a z)) (/ (- (* x y) (* z t)) a) (* (neg t) (/ 1 (/ a z))) (* (+ (* (/ x z) (/ y a)) (/ (neg t) a)) z) (/ (- (* x y) (* z t)) a) (+ (* (/ x z) (/ y a)) (/ (neg t) a)) (/ x z) (neg z) (* x y))
3.0ms	z	@	-inf	((+ (* (/ y a) x) (* (/ (neg z) a) t)) (/ y a) (* (/ (neg z) a) t) (/ (neg z) a) (/ (- (* x y) (* z t)) a) (* (/ (neg t) a) z) (/ (neg t) a) (neg t) (* (/ -1 a) (neg (- (* x y) (* z t)))) (/ -1 a) (neg (- (* x y) (* z t))) (- (* x y) (* z t)) (/ 1 (/ a z)) (/ (- (* x y) (* z t)) a) (* (neg t) (/ 1 (/ a z))) (* (+ (* (/ x z) (/ y a)) (/ (neg t) a)) z) (/ (- (* x y) (* z t)) a) (+ (* (/ x z) (/ y a)) (/ (neg t) a)) (/ x z) (neg z) (* x y))

simplify217.0ms (2.3%)

Memory

3.8MiB live, 164.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 518×	`lower-fma.f64`
6 518×	`lower-fma.f32`
3 334×	`lower-*.f64`
3 334×	`lower-*.f32`
2 640×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	153	5361
1	541	5340
2	1693	5340
3	4546	5340
0	8932	5340

Stop Event

1×	iter limit
1×	node limit

Counts

804 → 804

Calls

Call 1

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

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

rewrite232.0ms (2.4%)

Memory

-5.0MiB live, 190.8MiB allocated

Rules

7 994×	`lower-fma.f32`
7 990×	`lower-fma.f64`
4 134×	`lower-*.f32`
4 122×	`lower-*.f64`
3 888×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	180
0	53	176
1	184	171
2	1431	163
0	8423	163

Stop Event

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

Counts

21 → 802

Calls

Call 1

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

Outputs
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eval362.0ms (3.8%)

Memory: 25.9MiB live, 366.2MiB allocated
Compiler: Compiled 24 759 to 2 534 computations (89.8% saved)

prune139.0ms (1.4%)

Memory

-2.0MiB live, 154.1MiB allocated

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	1 756	5	1 761
Fresh	2	2	4
Picked	1	4	5
Done	1	6	7
Total	1 760	17	1 777

Accuracy

100.0%

Counts

1 777 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.0%	(fma.f64 (/.f64 y a) x (*.f64 (/.f64 (neg.f64 z) a) t))
	85.7%	(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 a x)) (neg.f64 y) (*.f64 (/.f64 (neg.f64 z) a) t))
✓	92.2%	(/.f64 (fma.f64 y x (*.f64 (neg.f64 t) z)) a)
✓	91.9%	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
✓	50.5%	(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) a)
✓	50.6%	(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 y x)) a)
✓	92.2%	(.f64 (fma.f64 (neg.f64 y) x (.f64 t z)) (/.f64 #s(literal -1 binary64) a))
✓	50.6%	(.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 #s(approx (- ( x y) (* z t)) (*.f64 x y))))
	50.5%	(.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (neg (- ( x y) (* z t))) (*.f64 z t)))
	49.9%	#s(approx (/ (- (* x y) (* z t)) a) (/.f64 (neg.f64 z) (/.f64 a t)))
	78.0%	#s(approx (/ (- (* x y) (* z t)) a) (.f64 (/.f64 (-.f64 (.f64 (/.f64 x z) y) t) a) z))
✓	49.8%	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z))
	50.2%	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 y a) x))
	49.8%	#s(approx (/ (- (* x y) (* z t)) a) (.f64 (.f64 t (/.f64 #s(literal -1 binary64) a)) z))
✓	50.7%	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 z a)))
✓	50.7%	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a z))))
	73.2%	#s(approx (/ (- (* x y) (* z t)) a) (.f64 #s(approx (+ ( (/ x z) (/ y a)) (/ (neg t) a)) (/.f64 (fma.f64 (neg.f64 z) t (.f64 y x)) (.f64 a z))) z))

Compiler

Compiled 525 to 293 computations (44.2% saved)

regimes143.0ms (1.5%)

Memory

-36.1MiB live, 104.1MiB allocated

Counts

32 → 3

Calls

Call 1

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

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

Calls

9 calls:

32.0ms	(*.f64 x y)
32.0ms	t
25.0ms	x
9.0ms	y
9.0ms	a

Results

Accuracy	Segments	Branch
94.5%	2	`x`
94.1%	2	`y`
92.2%	1	`z`
92.2%	1	`t`
95.5%	2	`a`
95.9%	2	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
98.4%	3	`(-.f64 (.f64 x y) (.f64 z t))`
96.3%	3	`(*.f64 x y)`
94.8%	2	`(*.f64 z t)`

Compiler

Compiled 27 to 54 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

23 → 3

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

(-.f64 (*.f64 x y) (*.f64 z t))

Results

Accuracy	Segments	Branch
98.4%	3	`(-.f64 (.f64 x y) (.f64 z t))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes18.0ms (0.2%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	a
6.0ms	(-.f64 (.f64 x y) (.f64 z t))
5.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

Results

Accuracy	Segments	Branch
92.2%	1	`a`
94.4%	2	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
94.8%	2	`(-.f64 (.f64 x y) (.f64 z t))`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes19.0ms (0.2%)

Memory

-23.5MiB live, 15.1MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	(-.f64 (.f64 x y) (.f64 z t))
5.0ms	(*.f64 z t)

Results

Accuracy	Segments	Branch
94.8%	2	`(*.f64 z t)`
92.2%	1	`(-.f64 (.f64 x y) (.f64 z t))`

Compiler

Compiled 10 to 14 computations (-40% saved)

regimes38.0ms (0.4%)

Memory

16.3MiB live, 54.7MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

9 calls:

7.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
4.0ms	y
4.0ms	x
4.0ms	a
4.0ms	t

Results

Accuracy	Segments	Branch
69.5%	3	`z`
72.9%	3	`t`
64.1%	4	`(-.f64 (.f64 x y) (.f64 z t))`
63.1%	5	`a`
69.7%	3	`y`
63.7%	4	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
68.0%	3	`x`
75.2%	4	`(*.f64 x y)`
75.7%	3	`(*.f64 z t)`

Compiler

Compiled 27 to 54 computations (-100% saved)

regimes4.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

(*.f64 z t)

Results

Accuracy	Segments	Branch
75.5%	3	`(*.f64 z t)`

Compiler

Compiled 3 to 6 computations (-100% saved)

regimes3.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

(*.f64 z t)

Results

Accuracy	Segments	Branch
75.5%	3	`(*.f64 z t)`

Compiler

Compiled 3 to 6 computations (-100% saved)

regimes17.0ms (0.2%)

Memory

-38.0MiB live, 3.4MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

(*.f64 z t)

Results

Accuracy	Segments	Branch
75.2%	3	`(*.f64 z t)`

Compiler

Compiled 3 to 6 computations (-100% saved)

regimes15.0ms (0.2%)

Memory

26.2MiB live, 26.2MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
50.6%	1	`a`
55.4%	3	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
55.1%	3	`(-.f64 (.f64 x y) (.f64 z t))`
52.4%	2	`x`
52.4%	2	`z`
52.5%	2	`y`
50.6%	1	`t`
54.3%	3	`(*.f64 x y)`
53.2%	2	`(*.f64 z t)`

Compiler

Compiled 27 to 54 computations (-100% saved)

regimes17.0ms (0.2%)

Memory

-16.0MiB live, 23.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

9 calls:

6.0ms	x
1.0ms	(*.f64 x y)
1.0ms	z
1.0ms	t
1.0ms	a

Results

Accuracy	Segments	Branch
50.2%	1	`a`
50.2%	1	`t`
50.2%	1	`z`
50.2%	1	`x`
50.2%	1	`y`
50.2%	1	`(*.f64 x y)`
50.2%	1	`(*.f64 z t)`
50.2%	1	`(-.f64 (.f64 x y) (.f64 z t))`
50.2%	1	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`

Compiler

Compiled 27 to 54 computations (-100% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.03079122705882e+279	1.32385634393423e+289
0.0ms	-inf	-1.871983659984415e+307

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.61111631484164e+248	1.0651850060434554e+250
0.0ms	-inf	-1.871983659984415e+307

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-1.871983659984415e+307

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.8500657376398965e+302	2.0556159463122096e+306

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	207219.46282335572	6905048365384913.0
0.0ms	-27586371247213183000.0	-1647504036917024.0

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	207219.46282335572	6905048365384913.0
0.0ms	-27586371247213183000.0	-1647504036917024.0

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	207219.46282335572	6905048365384913.0
0.0ms	-27586371247213183000.0	-1647504036917024.0

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	207219.46282335572	6905048365384913.0
0.0ms	-27586371247213183000.0	-1647504036917024.0

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0613325086356227e+301	3.036858854203459e+307
0.0ms	-8.688216354503951e+261	-2.695930637112113e+261

Compiler

Compiled 12 to 17 computations (-41.7% saved)

simplify29.0ms (0.3%)

Memory

1.6MiB live, 40.3MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`-commutative-binary64-.f64`
26×	`+-commutative-binary64-+.f64`
26×	`sub-neg-binary64-neg.f64-+.f64--.f64`
24×	`neg-sub0-binary64--.f64-neg.f64`
24×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	486
1	116	486
2	147	486
3	172	486
4	183	486
5	186	486

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) #s(literal -inf.0 binary64)) (fma.f64 (/.f64 y a) x (.f64 (neg.f64 t) (/.f64 z a))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) #s(literal 10000000000000000327822459828620982485707052830214935642633335774409426031973743359279343786724117930538174975818241508187016346769106956959939911012930425211247788042456200658152732723551495964903285489125103006290926013924448356521309485648260046220787856768108551057012647002112 binary64)) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 a x)) (neg.f64 y) (.f64 (/.f64 (neg.f64 z) a) t))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) #s(literal -inf.0 binary64)) (fma.f64 (/.f64 y a) x (.f64 (neg.f64 t) (/.f64 z a))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) #s(literal 999999999999999921096833083214702657554042769375222237286651769671841261663933600278047414170535414411036408111814232401040478571454131528428125775275729162364250341707296785977412047465036916114055333519200963067478208555469597215339755257651527680 binary64)) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (fma.f64 (/.f64 y a) x (.f64 (neg.f64 t) (/.f64 z a)))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) #s(literal -inf.0 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (.f64 (/.f64 (-.f64 (.f64 (/.f64 x z) y) t) a) z)) (/.f64 (fma.f64 y x (*.f64 (neg.f64 t) z)) a))
(if (<=.f64 (.f64 z t) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z)))
(if (<=.f64 (.f64 z t) #s(literal -20000000000000000000 binary64)) (.f64 #s(approx (+ (* (neg y) x) (* t z)) (.f64 z t)) (/.f64 #s(literal -1 binary64) a)) (if (<=.f64 (.f64 z t) #s(literal 400000 binary64)) (/.f64 #s(approx (- (* x y) (* z t)) (.f64 y x)) a) #s(approx (/ (- ( x y) (* z t)) a) (/.f64 (neg.f64 z) (/.f64 a t)))))
(if (<=.f64 (.f64 z t) #s(literal -20000000000000000000 binary64)) (.f64 #s(approx (+ (* (neg y) x) (* t z)) (.f64 z t)) (/.f64 #s(literal -1 binary64) a)) (if (<=.f64 (.f64 z t) #s(literal 400000 binary64)) (/.f64 #s(approx (- (* x y) (* z t)) (.f64 y x)) a) #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z))))
(if (<=.f64 (.f64 z t) #s(literal -20000000000000000000 binary64)) #s(approx (/ (- ( x y) (* z t)) a) (.f64 (/.f64 (neg.f64 t) a) z)) (if (<=.f64 (.f64 z t) #s(literal 400000 binary64)) (/.f64 #s(approx (- (* x y) (* z t)) (.f64 y x)) a) #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z))))
(if (<=.f64 (.f64 z t) #s(literal -20000000000000000000 binary64)) #s(approx (/ (- ( x y) (* z t)) a) (.f64 (neg.f64 t) (/.f64 z a))) (if (<=.f64 (.f64 z t) #s(literal 400000 binary64)) (/.f64 #s(approx (- (* x y) (* z t)) (.f64 y x)) a) #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 z a)))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #s(literal -5000000000000000080864196475047917390480863560766234054837788814802707676501789421806676124822026821440952665165919815755816086233746458697662077001272823792217174549282301297790469616246499440354456781353533234380180747355509156821802718767934507722333315137536 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (.f64 (/.f64 y a) x)) (if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #s(literal 40000000000000002100190410208176809948178743244326366196634164620472098319556327831454855003217914561748177753315355127077700929414417223025791687391468279313935488037063032149513209351791523602374758129398831997803244761558705635202986109711205699783170351552802273713524626778887855474618376021606400 binary64)) (/.f64 #s(approx (- ( x y) (* z t)) (.f64 y x)) a) #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 y a) x))))
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 y a) x))

Outputs
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) #s(literal -inf.0 binary64)) (fma.f64 (/.f64 y a) x (.f64 (neg.f64 t) (/.f64 z a))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) #s(literal 10000000000000000327822459828620982485707052830214935642633335774409426031973743359279343786724117930538174975818241508187016346769106956959939911012930425211247788042456200658152732723551495964903285489125103006290926013924448356521309485648260046220787856768108551057012647002112 binary64)) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 a x)) (neg.f64 y) (.f64 (/.f64 (neg.f64 z) a) t))))
(if (<=.f64 (-.f64 (.f64 y x) (.f64 t z)) #s(literal -inf.0 binary64)) (fma.f64 (/.f64 y a) x (.f64 (/.f64 (neg.f64 z) a) t)) (if (<=.f64 (-.f64 (.f64 y x) (.f64 t z)) #s(literal 10000000000000000327822459828620982485707052830214935642633335774409426031973743359279343786724117930538174975818241508187016346769106956959939911012930425211247788042456200658152732723551495964903285489125103006290926013924448356521309485648260046220787856768108551057012647002112 binary64)) (/.f64 (-.f64 (.f64 y x) (.f64 t z)) a) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 a x)) (neg.f64 y) (.f64 (/.f64 (neg.f64 z) a) t))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) #s(literal -inf.0 binary64)) (fma.f64 (/.f64 y a) x (.f64 (neg.f64 t) (/.f64 z a))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) #s(literal 999999999999999921096833083214702657554042769375222237286651769671841261663933600278047414170535414411036408111814232401040478571454131528428125775275729162364250341707296785977412047465036916114055333519200963067478208555469597215339755257651527680 binary64)) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (fma.f64 (/.f64 y a) x (.f64 (neg.f64 t) (/.f64 z a)))))
(if (<=.f64 (-.f64 (.f64 y x) (.f64 t z)) #s(literal -inf.0 binary64)) (fma.f64 (/.f64 y a) x (.f64 (/.f64 (neg.f64 z) a) t)) (if (<=.f64 (-.f64 (.f64 y x) (.f64 t z)) #s(literal 999999999999999921096833083214702657554042769375222237286651769671841261663933600278047414170535414411036408111814232401040478571454131528428125775275729162364250341707296785977412047465036916114055333519200963067478208555469597215339755257651527680 binary64)) (/.f64 (-.f64 (.f64 y x) (.f64 t z)) a) (fma.f64 (/.f64 y a) x (.f64 (/.f64 (neg.f64 z) a) t))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) #s(literal -inf.0 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (.f64 (/.f64 (-.f64 (.f64 (/.f64 x z) y) t) a) z)) (/.f64 (fma.f64 y x (*.f64 (neg.f64 t) z)) a))
(if (<=.f64 (-.f64 (.f64 y x) (.f64 t z)) #s(literal -inf.0 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (.f64 (/.f64 (-.f64 (.f64 (/.f64 x z) y) t) a) z)) (/.f64 (fma.f64 y x (*.f64 (neg.f64 z) t)) a))
(if (<=.f64 (.f64 z t) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z)))
(if (<=.f64 (.f64 t z) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) (/.f64 (-.f64 (.f64 y x) (.f64 t z)) a) #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z)))
(if (<=.f64 (.f64 z t) #s(literal -20000000000000000000 binary64)) (.f64 #s(approx (+ (* (neg y) x) (* t z)) (.f64 z t)) (/.f64 #s(literal -1 binary64) a)) (if (<=.f64 (.f64 z t) #s(literal 400000 binary64)) (/.f64 #s(approx (- (* x y) (* z t)) (.f64 y x)) a) #s(approx (/ (- ( x y) (* z t)) a) (/.f64 (neg.f64 z) (/.f64 a t)))))
(if (<=.f64 (.f64 t z) #s(literal -20000000000000000000 binary64)) (.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (+ (* (neg y) x) (* t z)) (.f64 t z))) (if (<=.f64 (.f64 t z) #s(literal 400000 binary64)) (/.f64 #s(approx (- (* x y) (* z t)) (.f64 y x)) a) #s(approx (/ (- ( x y) (* z t)) a) (/.f64 (neg.f64 z) (/.f64 a t)))))
(if (<=.f64 (.f64 z t) #s(literal -20000000000000000000 binary64)) (.f64 #s(approx (+ (* (neg y) x) (* t z)) (.f64 z t)) (/.f64 #s(literal -1 binary64) a)) (if (<=.f64 (.f64 z t) #s(literal 400000 binary64)) (/.f64 #s(approx (- (* x y) (* z t)) (.f64 y x)) a) #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z))))
(if (<=.f64 (.f64 t z) #s(literal -20000000000000000000 binary64)) (.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (+ (* (neg y) x) (* t z)) (.f64 t z))) (if (<=.f64 (.f64 t z) #s(literal 400000 binary64)) (/.f64 #s(approx (- (* x y) (* z t)) (.f64 y x)) a) #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z))))
(if (<=.f64 (.f64 z t) #s(literal -20000000000000000000 binary64)) #s(approx (/ (- ( x y) (* z t)) a) (.f64 (/.f64 (neg.f64 t) a) z)) (if (<=.f64 (.f64 z t) #s(literal 400000 binary64)) (/.f64 #s(approx (- (* x y) (* z t)) (.f64 y x)) a) #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z))))
(if (<=.f64 (.f64 t z) #s(literal -20000000000000000000 binary64)) #s(approx (/ (- ( x y) (* z t)) a) (.f64 (/.f64 (neg.f64 t) a) z)) (if (<=.f64 (.f64 t z) #s(literal 400000 binary64)) (/.f64 #s(approx (- (* x y) (* z t)) (.f64 y x)) a) #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z))))
(if (<=.f64 (.f64 z t) #s(literal -20000000000000000000 binary64)) #s(approx (/ (- ( x y) (* z t)) a) (.f64 (neg.f64 t) (/.f64 z a))) (if (<=.f64 (.f64 z t) #s(literal 400000 binary64)) (/.f64 #s(approx (- (* x y) (* z t)) (.f64 y x)) a) #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 z a)))))
(if (<=.f64 (.f64 t z) #s(literal -20000000000000000000 binary64)) #s(approx (/ (- ( x y) (* z t)) a) (.f64 (/.f64 (neg.f64 z) a) t)) (if (<=.f64 (.f64 t z) #s(literal 400000 binary64)) (/.f64 #s(approx (- (* x y) (* z t)) (.f64 y x)) a) #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 z) a) t))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #s(literal -5000000000000000080864196475047917390480863560766234054837788814802707676501789421806676124822026821440952665165919815755816086233746458697662077001272823792217174549282301297790469616246499440354456781353533234380180747355509156821802718767934507722333315137536 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (.f64 (/.f64 y a) x)) (if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #s(literal 40000000000000002100190410208176809948178743244326366196634164620472098319556327831454855003217914561748177753315355127077700929414417223025791687391468279313935488037063032149513209351791523602374758129398831997803244761558705635202986109711205699783170351552802273713524626778887855474618376021606400 binary64)) (/.f64 #s(approx (- ( x y) (* z t)) (.f64 y x)) a) #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 y a) x))))
(if (<=.f64 (/.f64 (-.f64 (.f64 y x) (.f64 t z)) a) #s(literal -5000000000000000080864196475047917390480863560766234054837788814802707676501789421806676124822026821440952665165919815755816086233746458697662077001272823792217174549282301297790469616246499440354456781353533234380180747355509156821802718767934507722333315137536 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (.f64 (/.f64 y a) x)) (if (<=.f64 (/.f64 (-.f64 (.f64 y x) (.f64 t z)) a) #s(literal 40000000000000002100190410208176809948178743244326366196634164620472098319556327831454855003217914561748177753315355127077700929414417223025791687391468279313935488037063032149513209351791523602374758129398831997803244761558705635202986109711205699783170351552802273713524626778887855474618376021606400 binary64)) (/.f64 #s(approx (- ( x y) (* z t)) (.f64 y x)) a) #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 y a) x))))
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 y a) x))

soundness1.7s (17.3%)

Memory

14.4MiB live, 1 238.6MiB allocated

Rules

7 994×	`lower-fma.f32`
7 990×	`lower-fma.f64`
7 982×	`lower-fma.f64`
7 982×	`lower-fma.f32`
6 640×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	960
1	314	960
2	1016	960
3	3856	960
4	6581	960
0	8019	960
0	9	22
0	13	22
1	44	22
2	313	22
3	3287	22
0	8826	22
0	153	5361
1	541	5340
2	1693	5340
3	4546	5340
0	8932	5340
0	37	169
0	63	161
1	255	150
2	1887	150
0	8370	150
0	148	5430
1	526	5430
2	1658	5430
3	4475	5430
0	8272	5430
0	27	147
0	45	135
1	184	135
2	1429	135
0	8563	135
0	427	7930
1	1541	7604
2	6141	7480
0	8085	7422
0	33	180
0	53	176
1	184	171
2	1431	163
0	8423	163

Stop Event

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

Compiler

Compiled 658 to 385 computations (41.5% saved)

preprocess100.0ms (1%)

Memory

-0.3MiB live, 230.1MiB allocated

Remove

(sort x y)

(sort z t)

(negabs a)

Compiler

Compiled 1 200 to 406 computations (66.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze176.0ms (1.8%)

sample1.3s (13.4%)

explain271.0ms (2.8%)

preprocess326.0ms (3.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify46.0ms (0.5%)

localize78.0ms (0.8%)

series83.0ms (0.9%)

simplify213.0ms (2.2%)

rewrite205.0ms (2.1%)

eval65.0ms (0.7%)

prune21.0ms (0.2%)

simplify174.0ms (1.8%)

localize100.0ms (1%)

series127.0ms (1.3%)

simplify148.0ms (1.5%)

rewrite253.0ms (2.6%)

eval420.0ms (4.4%)

prune205.0ms (2.1%)

simplify172.0ms (1.8%)

localize96.0ms (1%)

series85.0ms (0.9%)

simplify200.0ms (2.1%)

rewrite201.0ms (2.1%)

eval1.1s (11.1%)

prune107.0ms (1.1%)

simplify247.0ms (2.6%)

localize73.0ms (0.8%)

series118.0ms (1.2%)

simplify217.0ms (2.3%)

rewrite232.0ms (2.4%)

eval362.0ms (3.8%)

prune139.0ms (1.4%)

regimes143.0ms (1.5%)

regimes8.0ms (0.1%)

regimes18.0ms (0.2%)

regimes19.0ms (0.2%)

regimes38.0ms (0.4%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes17.0ms (0.2%)

regimes15.0ms (0.2%)

regimes17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

simplify29.0ms (0.3%)

soundness1.7s (17.3%)

preprocess100.0ms (1%)

end0.0ms (0%)

Profiling