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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze239.0ms (2.5%)

Memory

-22.0MiB live, 193.5MiB 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)

sample1.2s (12.1%)

Memory

28.0MiB live, 1 279.6MiB allocated

Samples

856.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 286.0ms

ival-mult: 183.0ms (64% of total)

ival-div: 59.0ms (20.6% of total)

ival-sub: 36.0ms (12.6% of total)

ival-true: 5.0ms (1.7% of total)

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

Bogosity

explain109.0ms (1.1%)

Memory

15.8MiB live, 173.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
24	-	1	(-9.710212446101505e-277 -5.835939785115316e-238 -1.5631582626538637e-258 -7.96191460919634e-60 3.917069491672923e-32)	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
2	-	2	(-9.380546933768924e+157 -7.11080628196342e+224 15163485983.044247 5.412412546557778e+302 2.8690163949068908e+107)	`(-.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	20	0
↳	`(*.f64 x y)`	overflow	35
↳	`(*.f64 z t)`	overflow	35
↳	`(-.f64 (.f64 x y) (.f64 z t))`	overflow	65
`/.f64`	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`	u/n	3	0
↳	`(*.f64 x y)`	underflow	35
↳	`(*.f64 z t)`	underflow	31
↳	`(-.f64 (.f64 x y) (.f64 z t))`	underflow	6

Confusion

	Predicted +	Predicted -
+	23	1
-	0	232

Precision

1.0

Recall

0.9583333333333334

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	23	0	1
-	0	0	232

Precision?

1.0

Recall?

0.9583333333333334

Freqs

test

number	freq
0	233
1	23

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 94 to 40 computations (57.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 8.0ms (56.1% of total)

ival-div: 3.0ms (21% of total)

ival-sub: 2.0ms (14% of total)

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

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

preprocess318.0ms (3.3%)

Memory

12.5MiB live, 132.9MiB 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)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.1%	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

Compiler

Compiled 9 to 9 computations (0% saved)

simplify45.0ms (0.5%)

Memory

-9.4MiB live, 29.2MiB 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

localize64.0ms (0.7%)

Memory

-16.6MiB live, 63.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z t)
accuracy	0	(*.f64 x y)
accuracy	0.40625000000000006	(-.f64 (.f64 x y) (.f64 z t))
accuracy	5.652326566283999	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

Samples

59.0ms

256×

valid

Compiler

Compiled 29 to 11 computations (62.1% saved)

Precisions

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

ival-mult: 6.0ms (64.8% of total)

ival-div: 2.0ms (21.6% of total)

ival-sub: 1.0ms (10.8% of total)

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

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

series17.0ms (0.2%)

Memory

-7.1MiB live, 30.6MiB 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
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	t	@	0	((/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* x y) (* z t))
1.0ms	z	@	-inf	((/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* x y) (* z t))

simplify131.0ms (1.4%)

Memory

28.6MiB live, 185.6MiB 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)

rewrite197.0ms (2%)

Memory

8.1MiB live, 275.1MiB 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
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) a) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64)))) (fma.f64 (.f64 t z) (fma.f64 (neg.f64 y) x (.f64 t z)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) a) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 t) z (.f64 y x)))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) a) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 t z (.f64 y x)) (.f64 t z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (fma.f64 t z (.f64 y x)) (*.f64 t z))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) a) (+.f64 (pow.f64 (.f64 (fma.f64 t z (.f64 y x)) (.f64 t z)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 t z (.f64 y x)) (.f64 t z)) (-.f64 (.f64 (fma.f64 t z (.f64 y x)) (.f64 t z)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(.f64 (pow.f64 (/.f64 a (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 a (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x (*.f64 t z))) (/.f64 #s(literal -1 binary64) a))
(.f64 (pow.f64 (/.f64 a (fma.f64 (neg.f64 t) z (.f64 y x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (fma.f64 (neg.f64 t) z (*.f64 y x))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 t z (.f64 y x)) a) (/.f64 (fma.f64 (neg.f64 t) z (.f64 y x)) (fma.f64 t z (.f64 y x))))
(.f64 (/.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) a) (/.f64 (fma.f64 (neg.f64 t) z (.f64 y x)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) a) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) a) (pow.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (.f64 a a)) (pow.f64 (.f64 (pow.f64 a #s(literal -1 binary64)) (fma.f64 t z (.f64 y x))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 (neg.f64 y) x (.f64 t z)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (.f64 t z) a) (.f64 (pow.f64 a #s(literal -1 binary64)) (fma.f64 t z (.f64 y x))) (pow.f64 (/.f64 (*.f64 y x) a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.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 (fma.f64 (neg.f64 y) x (.f64 t z)) a))
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(fma.f64 (neg.f64 t) z (*.f64 y x))
(fma.f64 (.f64 y y) (/.f64 (.f64 x x) (fma.f64 t z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (fma.f64 t z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x)))))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (.f64 t z) (.f64 y x))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 (.f64 y x) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x)))))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(fma.f64 (.f64 t z) #s(literal -1 binary64) (.f64 y x))
(fma.f64 t (neg.f64 z) (*.f64 y x))
(fma.f64 z (neg.f64 t) (*.f64 y x))
(fma.f64 (.f64 y x) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (fma.f64 t z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x)))))
(fma.f64 y (/.f64 (.f64 (.f64 x x) y) (fma.f64 t z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x)))))
(fma.f64 y x (*.f64 (neg.f64 t) z))
(fma.f64 x (/.f64 (.f64 (.f64 y y) x) (fma.f64 t z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x)))))
(fma.f64 x y (*.f64 (neg.f64 t) z))
(-.f64 (fma.f64 y x #s(literal 0 binary64)) (*.f64 t z))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 y) x (*.f64 t z)))
(-.f64 (.f64 y x) (.f64 t z))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (neg.f64 t) z (.f64 y x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (.f64 (neg.f64 y) x)) (.f64 (neg.f64 t) z))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(+.f64 (.f64 (neg.f64 t) z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 (neg.f64 t) z))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 y x)
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 t)))
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 z)))
(*.f64 (neg.f64 (neg.f64 t)) z)
(*.f64 (neg.f64 (neg.f64 z)) t)
(*.f64 (neg.f64 t) (neg.f64 z))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 t) z))
(*.f64 (neg.f64 z) (neg.f64 t))
(.f64 #s(literal 1 binary64) (.f64 t z))
(*.f64 t (neg.f64 (neg.f64 z)))
(*.f64 t z)
(*.f64 z (neg.f64 (neg.f64 t)))
(*.f64 z t)
(pow.f64 (*.f64 t z) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 t) z))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) z))
(exp.f64 (.f64 (log.f64 (.f64 t z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 t z)))

eval79.0ms (0.8%)

Memory: 8.8MiB live, 157.8MiB allocated
Compiler: Compiled 12 242 to 1 211 computations (90.1% saved)

prune104.0ms (1.1%)

Memory

-40.8MiB live, 226.1MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	544	11	555
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	544	12	556

Accuracy

100.0%

Counts

556 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.3%	(fma.f64 (/.f64 y a) x (*.f64 (neg.f64 t) (/.f64 z a)))
	89.5%	(fma.f64 (/.f64 x a) y (*.f64 (neg.f64 t) (/.f64 z a)))
▶	87.9%	(fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 (*.f64 y x) a))
	32.1%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) a)
✓	91.1%	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
	65.0%	(/.f64 (-.f64 (.f64 a (.f64 y x)) (.f64 a (.f64 t z))) (*.f64 a a))
▶	48.5%	(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) a)
▶	52.4%	(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 y x)) a)
▶	91.1%	(/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (neg.f64 t) z (*.f64 y x))))
	90.8%	(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (fma.f64 (neg.f64 t) z (.f64 y x)) #s(literal -1 binary64)) (neg.f64 a)))
	91.0%	(.f64 (fma.f64 (neg.f64 y) x (.f64 t z)) (/.f64 #s(literal -1 binary64) a))
	48.8%	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 z a)))

Compiler

Compiled 275 to 249 computations (9.5% saved)

simplify73.0ms (0.8%)

Memory

19.5MiB live, 61.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

800×	`lower-fma.f32`
794×	`lower-fma.f64`
608×	`lower-*.f32`
602×	`lower-*.f64`
536×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	162
0	45	162
1	80	162
2	122	156
3	222	156
4	457	156
5	666	156
6	933	156
7	1281	156
8	1699	156
9	1991	156
10	2163	156
11	2189	156
12	2200	156
13	2207	156
14	2209	156
0	2209	156

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize72.0ms (0.7%)

Memory

-7.7MiB live, 149.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y a)
accuracy	0	(neg.f64 t)
accuracy	3.08366404207141	(fma.f64 (/.f64 y a) x (*.f64 (neg.f64 t) (/.f64 z a)))
accuracy	4.513143040585036	(*.f64 (neg.f64 t) (/.f64 z a))
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 z)
accuracy	4.692759696151858	(fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 (*.f64 y x) a))
accuracy	5.745403654795288	(/.f64 (*.f64 y x) a)
accuracy	0	(*.f64 (neg.f64 t) z)
accuracy	0	(neg.f64 t)
accuracy	5.652326566283999	(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) a)
accuracy	31.41418594876594	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z))
accuracy	0	(*.f64 y x)
accuracy	5.652326566283999	(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 y x)) a)
accuracy	29.048974270213026	#s(approx (- (* x y) (* z t)) (*.f64 y x))
accuracy	0	(neg.f64 t)
accuracy	0.00390625	(fma.f64 (neg.f64 t) z (*.f64 y x))
accuracy	0.16796875	(/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (neg.f64 t) z (*.f64 y x))))
accuracy	5.916995945023876	(/.f64 a (fma.f64 (neg.f64 t) z (*.f64 y x)))

Samples

50.0ms

256×

valid

Compiler

Compiled 151 to 28 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 12.0ms (41.2% of total)

ival-div: 11.0ms (37.7% of total)

ival-add: 3.0ms (10.3% of total)

ival-neg: 2.0ms (6.9% of total)

ival-sub: 1.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series158.0ms (1.6%)

Memory

15.2MiB live, 92.1MiB allocated

Counts

17 → 696

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	t	@	inf	((/ 1 (/ a (+ (* (neg t) z) (* y x)))) (/ a (+ (* (neg t) z) (* y x))) (+ (* (neg t) z) (* y x)) (neg t) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* y x) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* (neg t) z) (+ (* (neg z) (/ t a)) (/ (* y x) a)) (neg z) (/ t a) (/ (* y x) a) (+ (* (/ y a) x) (* (neg t) (/ z a))) (/ y a) (* (neg t) (/ z a)))
3.0ms	a	@	-inf	((/ 1 (/ a (+ (* (neg t) z) (* y x)))) (/ a (+ (* (neg t) z) (* y x))) (+ (* (neg t) z) (* y x)) (neg t) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* y x) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* (neg t) z) (+ (* (neg z) (/ t a)) (/ (* y x) a)) (neg z) (/ t a) (/ (* y x) a) (+ (* (/ y a) x) (* (neg t) (/ z a))) (/ y a) (* (neg t) (/ z a)))
3.0ms	a	@	0	((/ 1 (/ a (+ (* (neg t) z) (* y x)))) (/ a (+ (* (neg t) z) (* y x))) (+ (* (neg t) z) (* y x)) (neg t) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* y x) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* (neg t) z) (+ (* (neg z) (/ t a)) (/ (* y x) a)) (neg z) (/ t a) (/ (* y x) a) (+ (* (/ y a) x) (* (neg t) (/ z a))) (/ y a) (* (neg t) (/ z a)))
3.0ms	a	@	inf	((/ 1 (/ a (+ (* (neg t) z) (* y x)))) (/ a (+ (* (neg t) z) (* y x))) (+ (* (neg t) z) (* y x)) (neg t) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* y x) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* (neg t) z) (+ (* (neg z) (/ t a)) (/ (* y x) a)) (neg z) (/ t a) (/ (* y x) a) (+ (* (/ y a) x) (* (neg t) (/ z a))) (/ y a) (* (neg t) (/ z a)))
2.0ms	z	@	inf	((/ 1 (/ a (+ (* (neg t) z) (* y x)))) (/ a (+ (* (neg t) z) (* y x))) (+ (* (neg t) z) (* y x)) (neg t) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* y x) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* (neg t) z) (+ (* (neg z) (/ t a)) (/ (* y x) a)) (neg z) (/ t a) (/ (* y x) a) (+ (* (/ y a) x) (* (neg t) (/ z a))) (/ y a) (* (neg t) (/ z a)))

simplify451.0ms (4.7%)

Memory

23.8MiB live, 212.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 844×	`lower-*.f64`
5 844×	`lower-*.f32`
4 742×	`lower-fma.f64`
4 742×	`lower-fma.f32`
3 984×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	389	6382
1	1402	6176
2	5649	6160
0	8505	6098

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 696

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

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

rewrite670.0ms (7%)

Memory

-19.2MiB live, 343.3MiB allocated

Rules

6 906×	`lower-fma.f32`
6 900×	`lower-fma.f64`
5 054×	`lower-/.f32`
5 038×	`lower-/.f64`
4 268×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	127
0	45	127
1	181	121
2	1349	121
0	8480	121

Stop Event

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

Counts

17 → 1 701

Calls

Call 1

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

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

eval643.0ms (6.7%)

Memory: -82.0MiB live, 709.2MiB allocated
Compiler: Compiled 47 564 to 2 593 computations (94.5% saved)

prune198.0ms (2.1%)

Memory

24.6MiB live, 388.5MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	2 490	7	2 497
Fresh	3	3	6
Picked	2	3	5
Done	0	1	1
Total	2 495	14	2 509

Accuracy

100.0%

Counts

2 509 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.0%	(fma.f64 (/.f64 y a) x (/.f64 (neg.f64 t) (/.f64 a z)))
✓	90.3%	(fma.f64 (/.f64 y a) x (*.f64 (neg.f64 t) (/.f64 z a)))
▶	89.5%	(fma.f64 (/.f64 x a) y (*.f64 (neg.f64 t) (/.f64 z a)))
▶	88.9%	(fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 x (/.f64 a y)))
	88.8%	(fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a y) x)))
	60.6%	(/.f64 (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) (*.f64 a (/.f64 a y)))
	65.0%	(/.f64 (fma.f64 (.f64 z (neg.f64 t)) a (.f64 a (.f64 x y))) (.f64 a a))
✓	91.1%	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
✓	48.5%	(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) a)
✓	52.4%	(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 y x)) a)
▶	52.4%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (* x y) (* z t)) (*.f64 x y))))
	91.0%	(.f64 (fma.f64 (neg.f64 y) x (.f64 t z)) (/.f64 #s(literal -1 binary64) a))
	49.0%	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z))
▶	48.8%	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 z a)))

Compiler

Compiled 255 to 246 computations (3.5% saved)

simplify84.0ms (0.9%)

Memory

-12.3MiB live, 70.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

1 060×	`times-frac`
848×	`lower-fma.f32`
842×	`lower-fma.f64`
656×	`lower-*.f32`
652×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	165
0	49	165
1	90	159
2	136	157
3	194	157
4	268	157
5	352	157
6	574	157
7	976	157
8	2235	157
9	3012	157
10	3307	157
11	3519	157
12	3572	157
13	3582	157
14	3587	157
0	3587	157

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize112.0ms (1.2%)

Memory

-8.0MiB live, 147.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 a y)
accuracy	0	(neg.f64 z)
accuracy	4.344466253584392	(/.f64 x (/.f64 a y))
accuracy	4.692759696151858	(fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 x (/.f64 a y)))
accuracy	0	(/.f64 x a)
accuracy	0	(neg.f64 t)
accuracy	3.4314911806160566	(fma.f64 (/.f64 x a) y (*.f64 (neg.f64 t) (/.f64 z a)))
accuracy	4.513143040585036	(*.f64 (neg.f64 t) (/.f64 z a))
accuracy	0	(*.f64 x y)
accuracy	0.16796875	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (* x y) (* z t)) (*.f64 x y))))
accuracy	5.916995945023876	(/.f64 a #s(approx (- (* x y) (* z t)) (*.f64 x y)))
accuracy	29.048974270213026	#s(approx (- (* x y) (* z t)) (*.f64 x y))
accuracy	0	(/.f64 z a)
accuracy	0	(neg.f64 t)
accuracy	4.513143040585036	(*.f64 (neg.f64 t) (/.f64 z a))
accuracy	30.19596175829171	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 z a)))
accuracy	0	(/.f64 a z)
accuracy	0	(neg.f64 t)
accuracy	3.08366404207141	(fma.f64 (/.f64 y a) x (/.f64 (neg.f64 t) (/.f64 a z)))
accuracy	4.219684135649344	(/.f64 (neg.f64 t) (/.f64 a z))

Samples

90.0ms

256×

valid

Compiler

Compiled 151 to 31 computations (79.5% saved)

Precisions

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

ival-div: 32.0ms (67.5% of total)

ival-mult: 9.0ms (19% of total)

ival-add: 3.0ms (6.3% of total)

ival-neg: 2.0ms (4.2% of total)

ival-sub: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series58.0ms (0.6%)

Memory

-0.1MiB live, 77.8MiB allocated

Counts

19 → 708

Calls

Call 1

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

Outputs
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 y a) x (/.f64 (neg.f64 t) (/.f64 a z))) (patch (fma.f64 (/.f64 y a) x (/.f64 (neg.f64 t) (/.f64 a z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 y a) x (/.f64 (neg.f64 t) (/.f64 a z))) (patch (fma.f64 (/.f64 y a) x (/.f64 (neg.f64 t) (/.f64 a z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 y a) x (/.f64 (neg.f64 t) (/.f64 a z))) (patch (fma.f64 (/.f64 y a) x (/.f64 (neg.f64 t) (/.f64 a z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* t z)) (* x y)) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 y a) x (/.f64 (neg.f64 t) (/.f64 a z))) (patch (fma.f64 (/.f64 y a) x (/.f64 (neg.f64 t) (/.f64 a z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor 0 a) (#s(alt (/.f64 (neg.f64 t) (/.f64 a z)) (patch (/.f64 (neg.f64 t) (/.f64 a z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor 0 a) (#s(alt (/.f64 (neg.f64 t) (/.f64 a z)) (patch (/.f64 (neg.f64 t) (/.f64 a z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor 0 a) (#s(alt (/.f64 (neg.f64 t) (/.f64 a z)) (patch (/.f64 (neg.f64 t) (/.f64 a z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* t z) a)) (taylor 0 a) (#s(alt (/.f64 (neg.f64 t) (/.f64 a z)) (patch (/.f64 (neg.f64 t) (/.f64 a z)) #<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 (/ (- (* 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>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#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 (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#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)) (taylor -inf x) (#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 (/ (+ (* -1 (/ a y)) (* -1 (/ (* a (* t z)) (* x (pow y 2))))) x)) (taylor -inf x) (#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 (/ (+ (* -1 (/ a y)) (* -1 (/ (- (/ (* a (* (pow t 2) (pow z 2))) (* x (pow y 3))) (* -1 (/ (* a (* t z)) (pow y 2)))) x))) x)) (taylor -inf x) (#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 (/ (+ (* -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)) (taylor -inf x) (#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 (* x y) (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 (* -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 (* -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 (* -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 (/.f64 x a) y (.f64 (neg.f64 t) (/.f64 z a))) (patch (fma.f64 (/.f64 x a) y (.f64 (neg.f64 t) (/.f64 z a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x a) y (.f64 (neg.f64 t) (/.f64 z a))) (patch (fma.f64 (/.f64 x a) y (.f64 (neg.f64 t) (/.f64 z a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x a) y (.f64 (neg.f64 t) (/.f64 z a))) (patch (fma.f64 (/.f64 x a) y (.f64 (neg.f64 t) (/.f64 z a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x a) y (.f64 (neg.f64 t) (/.f64 z a))) (patch (fma.f64 (/.f64 x a) y (.f64 (neg.f64 t) (/.f64 z a))) #<representation binary64>) () ())) ())
#s(alt (/ x a) (taylor -inf x) (#s(alt (/.f64 x a) (patch (/.f64 x a) #<representation binary64>) () ())) ())
#s(alt (/ x a) (taylor -inf x) (#s(alt (/.f64 x a) (patch (/.f64 x a) #<representation binary64>) () ())) ())
#s(alt (/ x a) (taylor -inf x) (#s(alt (/.f64 x a) (patch (/.f64 x a) #<representation binary64>) () ())) ())
#s(alt (/ x a) (taylor -inf x) (#s(alt (/.f64 x a) (patch (/.f64 x a) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 x (/.f64 a y))) (patch (fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 x (/.f64 a y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 x (/.f64 a y))) (patch (fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 x (/.f64 a y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 x (/.f64 a y))) (patch (fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 x (/.f64 a y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 x (/.f64 a y))) (patch (fma.f64 (neg.f64 z) (/.f64 t a) (/.f64 x (/.f64 a y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor -inf x) (#s(alt (/.f64 x (/.f64 a y)) (patch (/.f64 x (/.f64 a y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor -inf x) (#s(alt (/.f64 x (/.f64 a y)) (patch (/.f64 x (/.f64 a y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor -inf x) (#s(alt (/.f64 x (/.f64 a y)) (patch (/.f64 x (/.f64 a y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor -inf x) (#s(alt (/.f64 x (/.f64 a y)) (patch (/.f64 x (/.f64 a y)) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
18.0ms	z	@	inf	((+ (* (/ y a) x) (/ (neg t) (/ a z))) (/ (neg t) (/ a z)) (/ y a) (neg t) (/ (- (* x y) (* z t)) a) (* (neg t) (/ z a)) (/ z a) (/ 1 (/ a (- (* x y) (* z t)))) (/ a (- (* x y) (* z t))) (- (* x y) (* z t)) (* x y) (+ (* (/ x a) y) (* (neg t) (/ z a))) (/ x a) (+ (* (neg z) (/ t a)) (/ x (/ a y))) (/ x (/ a y)) (neg z) (/ t a) (/ a z) (/ a y))
3.0ms	a	@	-inf	((+ (* (/ y a) x) (/ (neg t) (/ a z))) (/ (neg t) (/ a z)) (/ y a) (neg t) (/ (- (* x y) (* z t)) a) (* (neg t) (/ z a)) (/ z a) (/ 1 (/ a (- (* x y) (* z t)))) (/ a (- (* x y) (* z t))) (- (* x y) (* z t)) (* x y) (+ (* (/ x a) y) (* (neg t) (/ z a))) (/ x a) (+ (* (neg z) (/ t a)) (/ x (/ a y))) (/ x (/ a y)) (neg z) (/ t a) (/ a z) (/ a y))
3.0ms	a	@	0	((+ (* (/ y a) x) (/ (neg t) (/ a z))) (/ (neg t) (/ a z)) (/ y a) (neg t) (/ (- (* x y) (* z t)) a) (* (neg t) (/ z a)) (/ z a) (/ 1 (/ a (- (* x y) (* z t)))) (/ a (- (* x y) (* z t))) (- (* x y) (* z t)) (* x y) (+ (* (/ x a) y) (* (neg t) (/ z a))) (/ x a) (+ (* (neg z) (/ t a)) (/ x (/ a y))) (/ x (/ a y)) (neg z) (/ t a) (/ a z) (/ a y))
2.0ms	a	@	inf	((+ (* (/ y a) x) (/ (neg t) (/ a z))) (/ (neg t) (/ a z)) (/ y a) (neg t) (/ (- (* x y) (* z t)) a) (* (neg t) (/ z a)) (/ z a) (/ 1 (/ a (- (* x y) (* z t)))) (/ a (- (* x y) (* z t))) (- (* x y) (* z t)) (* x y) (+ (* (/ x a) y) (* (neg t) (/ z a))) (/ x a) (+ (* (neg z) (/ t a)) (/ x (/ a y))) (/ x (/ a y)) (neg z) (/ t a) (/ a z) (/ a y))
2.0ms	z	@	-inf	((+ (* (/ y a) x) (/ (neg t) (/ a z))) (/ (neg t) (/ a z)) (/ y a) (neg t) (/ (- (* x y) (* z t)) a) (* (neg t) (/ z a)) (/ z a) (/ 1 (/ a (- (* x y) (* z t)))) (/ a (- (* x y) (* z t))) (- (* x y) (* z t)) (* x y) (+ (* (/ x a) y) (* (neg t) (/ z a))) (/ x a) (+ (* (neg z) (/ t a)) (/ x (/ a y))) (/ x (/ a y)) (neg z) (/ t a) (/ a z) (/ a y))

simplify227.0ms (2.4%)

Memory

-27.1MiB live, 271.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 820×	`lower-*.f64`
5 820×	`lower-*.f32`
4 678×	`lower-fma.f64`
4 678×	`lower-fma.f32`
3 944×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	379	6082
1	1358	5900
2	5549	5884
0	8399	5822

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 708

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

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

rewrite202.0ms (2.1%)

Memory

5.6MiB live, 324.3MiB allocated

Rules

7 662×	`lower-fma.f32`
7 656×	`lower-fma.f64`
4 738×	`lower-/.f32`
4 718×	`lower-/.f64`
3 628×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	130
0	49	130
1	201	122
2	1732	122
0	8551	122

Stop Event

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

Counts

19 → 1 373

Calls

Call 1

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

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

eval315.0ms (3.3%)

Memory: 34.6MiB live, 526.2MiB allocated
Compiler: Compiled 38 057 to 2 340 computations (93.9% saved)

prune238.0ms (2.5%)

Memory

23.1MiB live, 303.1MiB allocated

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	2 300	4	2 304
Fresh	1	4	5
Picked	3	2	5
Done	0	4	4
Total	2 304	14	2 318

Accuracy

100.0%

Counts

2 318 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.3%	(fma.f64 (/.f64 y a) x (*.f64 (neg.f64 t) (/.f64 z a)))
▶	60.6%	(/.f64 (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) (*.f64 a (/.f64 a y)))
	65.0%	(/.f64 (fma.f64 (.f64 z (neg.f64 t)) a (.f64 a (.f64 x y))) (.f64 a a))
✓	91.1%	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
✓	48.5%	(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) a)
✓	52.4%	(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 y x)) a)
✓	52.4%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (* x y) (* z t)) (*.f64 x y))))
▶	55.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x)))
▶	91.0%	(.f64 (fma.f64 (neg.f64 y) x (.f64 t z)) (/.f64 #s(literal -1 binary64) a))
▶	52.4%	(.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 #s(approx (- ( x y) (* z t)) (*.f64 x y))))
	49.1%	#s(approx (/ (- (* x y) (* z t)) a) (/.f64 (neg.f64 t) (/.f64 a z)))
	49.0%	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z))
▶	53.6%	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y))
✓	48.8%	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 z a)))

Compiler

Compiled 208 to 219 computations (-5.3% saved)

simplify147.0ms (1.5%)

Memory

-28.7MiB live, 110.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 t)
cost-diff	0	(*.f64 z (neg.f64 t))
cost-diff	320	(fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x))
cost-diff	1728	(/.f64 (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) (*.f64 a (/.f64 a y)))
cost-diff	0	(/.f64 a y)
cost-diff	0	(/.f64 (/.f64 a y) x)
cost-diff	0	#s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x)))
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	(/.f64 x a)
cost-diff	0	(*.f64 (/.f64 x a) y)
cost-diff	0	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y))
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

4 160×	`lower-fma.f32`
4 156×	`lower-fma.f64`
2 516×	`lower-*.f32`
2 500×	`lower-*.f64`
1 874×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	201
0	55	195
1	104	194
2	190	190
3	419	187
4	797	186
5	1518	186
6	4658	186
7	6831	186
0	8040	186

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

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

localize208.0ms (2.2%)

Memory

-5.3MiB live, 117.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 t)
accuracy	0.1328125	(*.f64 a (/.f64 a y))
accuracy	7.554047388603436	(fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x))
accuracy	21.34520878945153	(/.f64 (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) (*.f64 a (/.f64 a y)))
accuracy	0	(/.f64 a y)
accuracy	0.16796875	(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x)))
accuracy	4.397626990026073	(/.f64 (/.f64 a y) x)
accuracy	28.22865270751901	#s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x))
accuracy	0	(*.f64 x y)
accuracy	0	(neg.f64 #s(approx (- (* x y) (* z t)) (*.f64 x y)))
accuracy	5.734357816283998	(.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 #s(approx (- ( x y) (* z t)) (*.f64 x y))))
accuracy	29.048974270213026	#s(approx (- (* x y) (* z t)) (*.f64 x y))
accuracy	0	(/.f64 x a)
accuracy	3.8910734043221415	(*.f64 (/.f64 x a) y)
accuracy	27.564329043655533	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y))
accuracy	0	(*.f64 t z)
accuracy	0	(neg.f64 y)
accuracy	0.5078069952111204	(fma.f64 (neg.f64 y) x (*.f64 t z))
accuracy	5.734357816283998	(.f64 (fma.f64 (neg.f64 y) x (.f64 t z)) (/.f64 #s(literal -1 binary64) a))

Samples

151.0ms

256×

valid

Compiler

Compiled 177 to 34 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 86.0ms (82.4% of total)

ival-div: 12.0ms (11.5% of total)

ival-neg: 3.0ms (2.9% of total)

ival-add: 2.0ms (1.9% of total)

ival-sub: 1.0ms (1% of total)

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

exact: 0.0ms (0% of total)

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

series121.0ms (1.3%)

Memory

24.2MiB live, 131.0MiB allocated

Counts

21 → 816

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 (/.f64 x a) y)) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 x a) y)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x a) y) (patch (.f64 (/.f64 x a) y) #<representation binary64>) () ())
#s(alt (/.f64 x a) (patch (/.f64 x a) #<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) #s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x)) (patch #s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 a y) x) (patch (/.f64 (/.f64 a y) x) #<representation binary64>) () ())
#s(alt (/.f64 a y) (patch (/.f64 a y) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) (.f64 a (/.f64 a y))) (patch (/.f64 (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) (.f64 a (/.f64 a y))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) (patch (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) #<representation binary64>) () ())
#s(alt (.f64 z (neg.f64 t)) (patch (.f64 z (neg.f64 t)) #<representation binary64>) () ())
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (.f64 a (/.f64 a y)) (patch (.f64 a (/.f64 a y)) #<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 (/.f64 x a) y)) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 x a) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (/.f64 x a) y)) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 x a) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (/.f64 x a) y)) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 x a) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) (* t z)) a) (taylor 0 a) (#s(alt #s(approx (/ (- (* x y) (* z t)) a) (.f64 (/.f64 x a) y)) (patch #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 x a) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor 0 a) (#s(alt (.f64 (/.f64 x a) y) (patch (.f64 (/.f64 x a) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor 0 a) (#s(alt (.f64 (/.f64 x a) y) (patch (.f64 (/.f64 x a) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor 0 a) (#s(alt (.f64 (/.f64 x a) y) (patch (.f64 (/.f64 x a) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor 0 a) (#s(alt (.f64 (/.f64 x a) y) (patch (.f64 (/.f64 x a) y) #<representation binary64>) () ())) ())
#s(alt (/ x a) (taylor 0 a) (#s(alt (/.f64 x a) (patch (/.f64 x a) #<representation binary64>) () ())) ())
#s(alt (/ x a) (taylor 0 a) (#s(alt (/.f64 x a) (patch (/.f64 x a) #<representation binary64>) () ())) ())
#s(alt (/ x a) (taylor 0 a) (#s(alt (/.f64 x a) (patch (/.f64 x a) #<representation binary64>) () ())) ())
#s(alt (/ x a) (taylor 0 a) (#s(alt (/.f64 x a) (patch (/.f64 x a) #<representation binary64>) () ())) ())
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#s(alt (/ (* x y) a) (taylor -inf x) (#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 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#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 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#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 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#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 (* x y)) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (* t z) x)) (* -1 y)))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (* t z) x)) (* -1 y)))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (* t z) x)) (* -1 y)))) (taylor -inf x) (#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 (* x y) (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 (* -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 (* -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 (* -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) a) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x))) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor -inf x) (#s(alt #s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x)) (patch #s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ a y)) (* -1 (/ (* a (* t z)) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt #s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x)) (patch #s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x)) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf x) (#s(alt #s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x)) (patch #s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x)) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf x) (#s(alt #s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x)) (patch #s(approx (/ a (- (* x y) (* z t))) (/.f64 (/.f64 a y) x)) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 a y) x) (patch (/.f64 (/.f64 a y) x) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 a y) x) (patch (/.f64 (/.f64 a y) x) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 a y) x) (patch (/.f64 (/.f64 a y) x) #<representation binary64>) () ())) ())
#s(alt (/ a (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 a y) x) (patch (/.f64 (/.f64 a y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) a) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) (.f64 a (/.f64 a y))) (patch (/.f64 (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) (.f64 a (/.f64 a y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) (.f64 a (/.f64 a y))) (patch (/.f64 (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) (.f64 a (/.f64 a y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) (.f64 a (/.f64 a y))) (patch (/.f64 (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) (.f64 a (/.f64 a y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) (.f64 a (/.f64 a y))) (patch (/.f64 (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) (.f64 a (/.f64 a y))) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor -inf x) (#s(alt (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) (patch (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 a) (/ (* a (* t z)) (* x y))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) (patch (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 a) (/ (* a (* t z)) (* x y))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) (patch (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 a) (/ (* a (* t z)) (* x y))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) (patch (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) #<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
28.0ms	a	@	inf	((* (+ (* (neg y) x) (* t z)) (/ -1 a)) (+ (* (neg y) x) (* t z)) (neg y) (* t z) (/ (- (* x y) (* z t)) a) (* (/ x a) y) (/ x a) (* (/ -1 a) (neg (- (* x y) (* z t)))) (/ -1 a) (neg (- (* x y) (* z t))) (- (* x y) (* z t)) (/ 1 (/ a (- (* x y) (* z t)))) (/ a (- (* x y) (* z t))) (/ (/ a y) x) (/ a y) (/ (+ (* (* z (neg t)) (/ a y)) (* a x)) (* a (/ a y))) (+ (* (* z (neg t)) (/ a y)) (* a x)) (* z (neg t)) (neg t) (* x y) (* a (/ a y)))
12.0ms	a	@	0	((* (+ (* (neg y) x) (* t z)) (/ -1 a)) (+ (* (neg y) x) (* t z)) (neg y) (* t z) (/ (- (* x y) (* z t)) a) (* (/ x a) y) (/ x a) (* (/ -1 a) (neg (- (* x y) (* z t)))) (/ -1 a) (neg (- (* x y) (* z t))) (- (* x y) (* z t)) (/ 1 (/ a (- (* x y) (* z t)))) (/ a (- (* x y) (* z t))) (/ (/ a y) x) (/ a y) (/ (+ (* (* z (neg t)) (/ a y)) (* a x)) (* a (/ a y))) (+ (* (* z (neg t)) (/ a y)) (* a x)) (* z (neg t)) (neg t) (* x y) (* a (/ a y)))
8.0ms	z	@	-inf	((* (+ (* (neg y) x) (* t z)) (/ -1 a)) (+ (* (neg y) x) (* t z)) (neg y) (* t z) (/ (- (* x y) (* z t)) a) (* (/ x a) y) (/ x a) (* (/ -1 a) (neg (- (* x y) (* z t)))) (/ -1 a) (neg (- (* x y) (* z t))) (- (* x y) (* z t)) (/ 1 (/ a (- (* x y) (* z t)))) (/ a (- (* x y) (* z t))) (/ (/ a y) x) (/ a y) (/ (+ (* (* z (neg t)) (/ a y)) (* a x)) (* a (/ a y))) (+ (* (* z (neg t)) (/ a y)) (* a x)) (* z (neg t)) (neg t) (* x y) (* a (/ a y)))
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) (* (/ x a) y) (/ x a) (* (/ -1 a) (neg (- (* x y) (* z t)))) (/ -1 a) (neg (- (* x y) (* z t))) (- (* x y) (* z t)) (/ 1 (/ a (- (* x y) (* z t)))) (/ a (- (* x y) (* z t))) (/ (/ a y) x) (/ a y) (/ (+ (* (* z (neg t)) (/ a y)) (* a x)) (* a (/ a y))) (+ (* (* z (neg t)) (/ a y)) (* a x)) (* z (neg t)) (neg t) (* x y) (* a (/ a y)))
4.0ms	y	@	-inf	((* (+ (* (neg y) x) (* t z)) (/ -1 a)) (+ (* (neg y) x) (* t z)) (neg y) (* t z) (/ (- (* x y) (* z t)) a) (* (/ x a) y) (/ x a) (* (/ -1 a) (neg (- (* x y) (* z t)))) (/ -1 a) (neg (- (* x y) (* z t))) (- (* x y) (* z t)) (/ 1 (/ a (- (* x y) (* z t)))) (/ a (- (* x y) (* z t))) (/ (/ a y) x) (/ a y) (/ (+ (* (* z (neg t)) (/ a y)) (* a x)) (* a (/ a y))) (+ (* (* z (neg t)) (/ a y)) (* a x)) (* z (neg t)) (neg t) (* x y) (* a (/ a y)))

simplify305.0ms (3.2%)

Memory

-7.1MiB live, 254.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 482×	`lower-*.f64`
6 482×	`lower-*.f32`
4 840×	`lower-fma.f64`
4 840×	`lower-fma.f32`
3 158×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	444	7288
1	1612	7022
2	6310	6898
0	8307	6840

Stop Event

1×	iter limit
1×	node limit

Counts

816 → 816

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

rewrite380.0ms (3.9%)

Memory

-14.0MiB live, 283.3MiB allocated

Rules

11 762×	`lower-fma.f32`
11 758×	`lower-fma.f64`
7 106×	`lower-*.f32`
7 090×	`lower-*.f64`
2 892×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	170
0	55	164
1	191	161
2	1222	157
0	9344	157

Stop Event

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

Counts

21 → 1 402

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

Outputs
(.f64 (.f64 (/.f64 (/.f64 (fma.f64 (.f64 (/.f64 a y) t) z (.f64 (neg.f64 x) a)) a) a) #s(literal -1 binary64)) y)
(.f64 (.f64 (/.f64 (.f64 a (fma.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (neg.f64 t) z) x)) a) y) (pow.f64 a #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (/.f64 y a) a) (-.f64 (pow.f64 (.f64 (.f64 (/.f64 a y) t) (neg.f64 z)) #s(literal 2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (.f64 (/.f64 a y) t) z (*.f64 a x))) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (/.f64 y a) a) (+.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (/.f64 (.f64 a (.f64 z t)) y) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (.f64 a x) (fma.f64 a x (/.f64 (.f64 a (.f64 z t)) y)) (pow.f64 (.f64 (.f64 (/.f64 a y) t) (neg.f64 z)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (.f64 (/.f64 a y) t) z (.f64 (neg.f64 x) a)) a) a)) (neg.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 a (fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 t) z) x)) (pow.f64 a #s(literal -2 binary64)))) y)
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 a (fma.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (neg.f64 t) z) x)) a) a)) y)
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 a y) t) z (.f64 (neg.f64 x) a))) (neg.f64 (/.f64 (/.f64 y a) a)))
(.f64 (.f64 (/.f64 (/.f64 (fma.f64 (.f64 (/.f64 a y) t) z (.f64 (neg.f64 x) a)) a) a) y) #s(literal -1 binary64))
(.f64 (.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 z t) #s(literal 2 binary64)))) (pow.f64 (fma.f64 z t (*.f64 x y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 a (fma.f64 (neg.f64 z) t (.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (fma.f64 (neg.f64 z) t (*.f64 x y))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 z t) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) a) (/.f64 (pow.f64 (fma.f64 (.f64 z t) (fma.f64 z t (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 z t) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (.f64 z t) (fma.f64 z t (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) a))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z t (.f64 x y))) a))
(.f64 (/.f64 (.f64 a (fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 t) z) x)) (pow.f64 y #s(literal -1 binary64))) (/.f64 (pow.f64 a #s(literal -1 binary64)) a))
(.f64 (/.f64 (.f64 a (fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 t) z) x)) #s(literal 1 binary64)) (/.f64 (/.f64 y a) a))
(.f64 (/.f64 (fma.f64 (.f64 a x) (fma.f64 a x (/.f64 (.f64 a (.f64 z t)) y)) (pow.f64 (.f64 (.f64 (/.f64 a y) t) (neg.f64 z)) #s(literal 2 binary64))) (.f64 (/.f64 a y) a)) (/.f64 (.f64 a (fma.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (neg.f64 t) z) x)) (fma.f64 (.f64 a x) (fma.f64 a x (/.f64 (.f64 a (.f64 z t)) y)) (pow.f64 (.f64 (.f64 (/.f64 a y) t) (neg.f64 z)) #s(literal 2 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 a y) t) (neg.f64 z)) #s(literal 2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 a a)) (/.f64 (pow.f64 (neg.f64 (fma.f64 (.f64 (/.f64 a y) t) z (*.f64 a x))) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 a y) t) (neg.f64 z)) #s(literal 2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (/.f64 a y)) (/.f64 (pow.f64 (neg.f64 (fma.f64 (.f64 (/.f64 a y) t) z (.f64 a x))) #s(literal -1 binary64)) a))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 a y) t) (neg.f64 z)) #s(literal 2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) a) (/.f64 (pow.f64 (neg.f64 (fma.f64 (.f64 (/.f64 a y) t) z (.f64 a x))) #s(literal -1 binary64)) (/.f64 a y)))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (/.f64 (.f64 a (.f64 z t)) y) #s(literal 3 binary64)))) (.f64 a a)) (/.f64 (pow.f64 (fma.f64 (.f64 a x) (fma.f64 a x (/.f64 (.f64 a (.f64 z t)) y)) (pow.f64 (.f64 (.f64 (/.f64 a y) t) (neg.f64 z)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (/.f64 (.f64 a (.f64 z t)) y) #s(literal 3 binary64)))) (/.f64 a y)) (/.f64 (pow.f64 (fma.f64 (.f64 a x) (fma.f64 a x (/.f64 (.f64 a (.f64 z t)) y)) (pow.f64 (.f64 (*.f64 (/.f64 a y) t) (neg.f64 z)) #s(literal 2 binary64))) #s(literal -1 binary64)) a))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (/.f64 (.f64 a (.f64 z t)) y) #s(literal 3 binary64)))) a) (/.f64 (pow.f64 (fma.f64 (.f64 a x) (fma.f64 a x (/.f64 (.f64 a (.f64 z t)) y)) (pow.f64 (.f64 (*.f64 (/.f64 a y) t) (neg.f64 z)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 a y)))
(.f64 (/.f64 (fma.f64 z t (.f64 x y)) a) (/.f64 (fma.f64 (neg.f64 z) t (.f64 x y)) (fma.f64 z t (.f64 x y))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (.f64 z t) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))) (/.f64 (pow.f64 a #s(literal -1 binary64)) (fma.f64 z t (.f64 x y))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 z t) #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 a #s(literal -1 binary64)) (fma.f64 (.f64 z t) (fma.f64 z t (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 z t) (fma.f64 z t (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) a) (/.f64 (fma.f64 (neg.f64 z) t (.f64 x y)) (fma.f64 (.f64 z t) (fma.f64 z t (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(.f64 (pow.f64 (/.f64 (.f64 (/.f64 a y) a) (-.f64 (pow.f64 (.f64 (.f64 (/.f64 a y) t) (neg.f64 z)) #s(literal 2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (.f64 (/.f64 a y) t) z (*.f64 a x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (/.f64 a y) a) (+.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (/.f64 (.f64 a (.f64 z t)) y) #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 a x) (fma.f64 a x (/.f64 (.f64 a (.f64 z t)) y)) (pow.f64 (.f64 (.f64 (/.f64 a y) t) (neg.f64 z)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 a (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 z t) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z t (.f64 x y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 a (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 z t) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 z t) (fma.f64 z t (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 (/.f64 a y) t) z (*.f64 (neg.f64 x) a)) a) a) (neg.f64 y))
(.f64 (.f64 (.f64 a (fma.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (neg.f64 t) z) x)) (pow.f64 a #s(literal -2 binary64))) y)
(.f64 (pow.f64 a #s(literal -2 binary64)) (.f64 y (.f64 a (fma.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (neg.f64 t) z) x))))
(.f64 (/.f64 (/.f64 (.f64 a (fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 t) z) x)) a) a) y)
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eval457.0ms (4.7%)

Memory: 25.4MiB live, 463.8MiB allocated
Compiler: Compiled 40 555 to 2 995 computations (92.6% saved)

prune704.0ms (7.3%)

Memory

-20.2MiB live, 409.7MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	2 327	3	2 330
Fresh	1	2	3
Picked	2	3	5
Done	2	4	6
Total	2 332	12	2 344

Accuracy

100.0%

Counts

2 344 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.6%	(/.f64 (fma.f64 (.f64 z (neg.f64 t)) (/.f64 a y) (.f64 a x)) (*.f64 a (/.f64 a y)))
✓	91.1%	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
✓	48.5%	(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) a)
✓	52.4%	(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 y x)) a)
✓	91.0%	(.f64 (fma.f64 (neg.f64 y) x (.f64 t z)) (/.f64 #s(literal -1 binary64) a))
	49.1%	#s(approx (/ (- (* x y) (* z t)) a) (/.f64 (neg.f64 t) (/.f64 a z)))
	53.5%	#s(approx (/ (- (* x y) (* z t)) a) (/.f64 y (/.f64 a x)))
	55.3%	#s(approx (/ (- (* x y) (* z t)) a) (/.f64 x (/.f64 a y)))
	49.0%	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 t) a) z))
	55.5%	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 y a) x))
✓	53.6%	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y))
✓	48.8%	#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 t) (/.f64 z a)))

Compiler

Compiled 367 to 200 computations (45.5% saved)

regimes78.0ms (0.8%)

Memory

29.9MiB live, 187.1MiB allocated

Counts

26 → 2

Calls

Call 1

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

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

Calls

9 calls:

11.0ms	(*.f64 x y)
9.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
9.0ms	t
9.0ms	y
8.0ms	a

Results

Accuracy	Segments	Branch
94.1%	2	`x`
94.6%	2	`y`
93.0%	2	`z`
94.1%	2	`t`
95.3%	2	`a`
95.5%	2	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
96.2%	2	`(-.f64 (.f64 x y) (.f64 z t))`
94.6%	2	`(*.f64 x y)`
96.7%	3	`(*.f64 z t)`

Compiler

Compiled 27 to 54 computations (-100% saved)

regimes12.0ms (0.1%)

Memory

-40.6MiB live, 11.2MiB allocated

Counts

17 → 2

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
95.9%	2	`(-.f64 (.f64 x y) (.f64 z t))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes47.0ms (0.5%)

Memory

5.6MiB live, 44.7MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

6 calls:

20.0ms	y
5.0ms	a
5.0ms	(-.f64 (.f64 x y) (.f64 z t))
5.0ms	(*.f64 x y)
5.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

Results

Accuracy	Segments	Branch
94.1%	2	`y`
94.5%	2	`(*.f64 x y)`
93.3%	2	`(*.f64 z t)`
93.2%	2	`a`
91.1%	1	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
91.1%	1	`(-.f64 (.f64 x y) (.f64 z t))`

Compiler

Compiled 24 to 39 computations (-62.5% saved)

regimes72.0ms (0.7%)

Memory

16.8MiB live, 94.4MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

9 calls:

38.0ms	t
6.0ms	(-.f64 (.f64 x y) (.f64 z t))
4.0ms	y
4.0ms	x
4.0ms	z

Results

Accuracy	Segments	Branch
60.1%	3	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
62.7%	5	`(-.f64 (.f64 x y) (.f64 z t))`
76.1%	3	`z`
64.8%	6	`a`
78.2%	3	`(*.f64 z t)`
71.4%	3	`t`
73.1%	3	`y`
72.8%	3	`x`
77.9%	3	`(*.f64 x y)`

Compiler

Compiled 27 to 54 computations (-100% saved)

regimes11.0ms (0.1%)

Memory

-18.1MiB live, 22.1MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	(*.f64 x y)
3.0ms	(*.f64 z t)

Results

Accuracy	Segments	Branch
77.9%	3	`(*.f64 x y)`
77.8%	3	`(*.f64 z t)`

Compiler

Compiled 6 to 12 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

2 calls:

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

Results

Accuracy	Segments	Branch
77.5%	3	`(*.f64 z t)`
76.9%	3	`(*.f64 x y)`

Compiler

Compiled 6 to 12 computations (-100% saved)

regimes21.0ms (0.2%)

Memory

-18.4MiB live, 59.0MiB allocated

Counts

3 → 1

Calls

Call 1

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

Calls

9 calls:

4.0ms	z
2.0ms	a
2.0ms	t
2.0ms	x
2.0ms	(-.f64 (.f64 x y) (.f64 z t))

Results

Accuracy	Segments	Branch
55.5%	1	`(-.f64 (.f64 x y) (.f64 z t))`
55.5%	1	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
55.5%	1	`a`
55.5%	1	`t`
55.5%	1	`x`
55.5%	1	`y`
55.5%	1	`z`
55.5%	1	`(*.f64 x y)`
55.5%	1	`(*.f64 z t)`

Compiler

Compiled 27 to 54 computations (-100% saved)

regimes12.0ms (0.1%)

Memory

37.0MiB live, 37.0MiB 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 x a) y))

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
53.6%	1	`t`
53.6%	1	`a`
53.6%	1	`x`
53.6%	1	`y`
53.6%	1	`z`
53.6%	1	`(-.f64 (.f64 x y) (.f64 z t))`
53.6%	1	`(*.f64 x y)`
53.6%	1	`(*.f64 z t)`
53.6%	1	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`

Compiler

Compiled 27 to 54 computations (-100% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0368636283179549e+231	7.094956522007884e+233

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch2.0ms (0%)

Memory

-36.6MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
2.0ms	8.552208850012779e+226	1.0368636283179549e+231

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.894765129243537e+152	6.682925505561763e+155

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2817319536505002e+28	4.190285942992245e+44
0.0ms	-3.459827976235277e+68	-7.28310252849994e+67

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.1862866341825676e-74	3.231499299042634e-59
0.0ms	-2.2255672080444937e-9	-1.8906594249365229e-10

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2817319536505002e+28	4.190285942992245e+44
0.0ms	-2.9080746177262713e+90	-3.459827976235277e+68

Compiler

Compiled 12 to 17 computations (-41.7% saved)

simplify31.0ms (0.3%)

Memory

-4.0MiB live, 77.1MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`-commutative-binary64-.f64`
18×	`+-commutative-binary64-+.f64`
18×	`sub-neg-binary64-neg.f64-+.f64--.f64`
16×	`neg-sub0-binary64--.f64-neg.f64`
16×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	286
1	83	286
2	101	286
3	121	286
4	131	286
5	135	286
6	136	286

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) #s(literal 2000000000000000112950822041041682829681252763966116749401130328310913127935156394378439523178919965959536338695072724193131961289213847754610320291206559558839567880608124639637128476165182553839199176610603506544803697392590258176 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 100000000000000009283347037202319909689034845245050771098451388126923428081969579920029641209088262542943126809822773697747226137851076470969547585887373208135923963504986275470907025292240033962037948280174037505158080469401600 binary64)) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (fma.f64 (/.f64 x a) y (*.f64 (neg.f64 t) (/.f64 z a))))
(if (<=.f64 (.f64 x y) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #s(approx (/ (- ( x y) (* z t)) a) (/.f64 x (/.f64 a y))))
(if (<=.f64 (.f64 z t) #s(literal -199999999999999990561044450276333613382502582705723397060843246977024 binary64)) #s(approx (/ (- ( x y) (* z t)) a) (/.f64 (neg.f64 t) (/.f64 a z))) (if (<=.f64 (.f64 z t) #s(literal 19999999999999999166239473664 binary64)) (/.f64 #s(approx (- ( x y) (* z t)) (.f64 y x)) a) (/.f64 #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) a)))
(if (<=.f64 (.f64 x y) #s(literal -4835703278458517/2417851639229258349412352 binary64)) (/.f64 #s(approx (- ( x y) (* z t)) (.f64 y x)) a) (if (<=.f64 (.f64 x y) #s(literal 5092589940836215/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) (/.f64 #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) a) #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 y a) x))))
(if (<=.f64 (.f64 z t) #s(literal -1999999999999999932968225430927800099650372185240251005959349194618359510874758461373022208 binary64)) #s(approx (/ (- ( x y) (* z t)) a) (.f64 (neg.f64 t) (/.f64 z a))) (if (<=.f64 (.f64 z t) #s(literal 19999999999999999166239473664 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)))))
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 y a) x))
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y))

Outputs
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) #s(literal 2000000000000000112950822041041682829681252763966116749401130328310913127935156394378439523178919965959536338695072724193131961289213847754610320291206559558839567880608124639637128476165182553839199176610603506544803697392590258176 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 2000000000000000112950822041041682829681252763966116749401130328310913127935156394378439523178919965959536338695072724193131961289213847754610320291206559558839567880608124639637128476165182553839199176610603506544803697392590258176 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 100000000000000009283347037202319909689034845245050771098451388126923428081969579920029641209088262542943126809822773697747226137851076470969547585887373208135923963504986275470907025292240033962037948280174037505158080469401600 binary64)) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (fma.f64 (/.f64 x a) y (*.f64 (neg.f64 t) (/.f64 z a))))
(if (<=.f64 (-.f64 (.f64 y x) (.f64 t z)) #s(literal 100000000000000009283347037202319909689034845245050771098451388126923428081969579920029641209088262542943126809822773697747226137851076470969547585887373208135923963504986275470907025292240033962037948280174037505158080469401600 binary64)) (/.f64 (-.f64 (.f64 y x) (.f64 t z)) a) (fma.f64 (/.f64 x a) y (*.f64 (/.f64 (neg.f64 z) a) t)))
(if (<=.f64 (.f64 x y) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) #s(approx (/ (- ( x y) (* z t)) a) (/.f64 x (/.f64 a y))))
(if (<=.f64 (.f64 y x) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) (/.f64 (-.f64 (.f64 y x) (.f64 t z)) a) #s(approx (/ (- ( x y) (* z t)) a) (/.f64 x (/.f64 a y))))
(if (<=.f64 (.f64 z t) #s(literal -199999999999999990561044450276333613382502582705723397060843246977024 binary64)) #s(approx (/ (- ( x y) (* z t)) a) (/.f64 (neg.f64 t) (/.f64 a z))) (if (<=.f64 (.f64 z t) #s(literal 19999999999999999166239473664 binary64)) (/.f64 #s(approx (- ( x y) (* z t)) (.f64 y x)) a) (/.f64 #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) a)))
(if (<=.f64 (.f64 t z) #s(literal -199999999999999990561044450276333613382502582705723397060843246977024 binary64)) #s(approx (/ (- ( x y) (* z t)) a) (/.f64 (neg.f64 t) (/.f64 a z))) (if (<=.f64 (.f64 t z) #s(literal 19999999999999999166239473664 binary64)) (/.f64 #s(approx (- ( x y) (* z t)) (.f64 y x)) a) (/.f64 #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) a)))
(if (<=.f64 (.f64 x y) #s(literal -4835703278458517/2417851639229258349412352 binary64)) (/.f64 #s(approx (- ( x y) (* z t)) (.f64 y x)) a) (if (<=.f64 (.f64 x y) #s(literal 5092589940836215/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) (/.f64 #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) a) #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 y a) x))))
(if (<=.f64 (.f64 y x) #s(literal -4835703278458517/2417851639229258349412352 binary64)) (/.f64 #s(approx (- ( x y) (* z t)) (.f64 y x)) a) (if (<=.f64 (.f64 y x) #s(literal 5092589940836215/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) (/.f64 #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) a) #s(approx (/ (- ( x y) (* z t)) a) (*.f64 (/.f64 y a) x))))
(if (<=.f64 (.f64 z t) #s(literal -1999999999999999932968225430927800099650372185240251005959349194618359510874758461373022208 binary64)) #s(approx (/ (- ( x y) (* z t)) a) (.f64 (neg.f64 t) (/.f64 z a))) (if (<=.f64 (.f64 z t) #s(literal 19999999999999999166239473664 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 -1999999999999999932968225430927800099650372185240251005959349194618359510874758461373022208 binary64)) #s(approx (/ (- ( x y) (* z t)) a) (.f64 (/.f64 (neg.f64 z) a) t)) (if (<=.f64 (.f64 t z) #s(literal 19999999999999999166239473664 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))))
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 y a) x))
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y))

soundness929.0ms (9.6%)

Memory

44.7MiB live, 863.9MiB allocated

Rules

11 762×	`lower-fma.f32`
11 758×	`lower-fma.f64`
7 662×	`lower-fma.f32`
7 656×	`lower-fma.f64`
7 106×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	170
0	55	164
1	191	161
2	1222	157
0	9344	157
0	88	960
1	314	960
2	1016	960
3	3856	960
4	6581	960
0	8019	960
0	29	130
0	49	130
1	201	122
2	1732	122
0	8551	122
0	379	6082
1	1358	5900
2	5549	5884
0	8399	5822
0	9	22
0	13	22
1	44	22
2	313	22
3	3287	22
0	8826	22

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

Compiler

Compiled 336 to 232 computations (31% saved)

preprocess114.0ms (1.2%)

Memory

0.7MiB live, 247.8MiB allocated

Remove

(sort z t)

(negabs a)

Compiler

Compiled 712 to 310 computations (56.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze239.0ms (2.5%)

sample1.2s (12.1%)

explain109.0ms (1.1%)

preprocess318.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify45.0ms (0.5%)

localize64.0ms (0.7%)

series17.0ms (0.2%)

simplify131.0ms (1.4%)

rewrite197.0ms (2%)

eval79.0ms (0.8%)

prune104.0ms (1.1%)

simplify73.0ms (0.8%)

localize72.0ms (0.7%)

series158.0ms (1.6%)

simplify451.0ms (4.7%)

rewrite670.0ms (7%)

eval643.0ms (6.7%)

prune198.0ms (2.1%)

simplify84.0ms (0.9%)

localize112.0ms (1.2%)

series58.0ms (0.6%)

simplify227.0ms (2.4%)

rewrite202.0ms (2.1%)

eval315.0ms (3.3%)

prune238.0ms (2.5%)

simplify147.0ms (1.5%)

localize208.0ms (2.2%)

series121.0ms (1.3%)

simplify305.0ms (3.2%)

rewrite380.0ms (3.9%)

eval457.0ms (4.7%)

prune704.0ms (7.3%)

regimes78.0ms (0.8%)

regimes12.0ms (0.1%)

regimes47.0ms (0.5%)

regimes72.0ms (0.7%)

regimes11.0ms (0.1%)

regimes5.0ms (0.1%)

regimes21.0ms (0.2%)

regimes12.0ms (0.1%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify31.0ms (0.3%)

soundness929.0ms (9.6%)

preprocess114.0ms (1.2%)

end0.0ms (0%)

Profiling