Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, C

analyze1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.7%	0.3%	0%	0%	0%	0
100%	99.7%	0%	0.3%	0%	0%	0%	1

Compiler

Compiled 19 to 19 computations (0% saved)

sample1.2s (9.4%)

Memory

44.7MiB live, 2 059.5MiB allocated

Samples

822.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 474.0ms

ival-mult: 195.0ms (41.1% of total)

ival-div: 117.0ms (24.7% of total)

ival-add: 109.0ms (23% of total)

ival-sub: 35.0ms (7.4% of total)

exact: 8.0ms (1.7% of total)

ival-true: 7.0ms (1.5% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess179.0ms (1.4%)

Memory

-6.2MiB live, 231.9MiB allocated

Algorithm

2×	egg-herbie

Rules

2 224×	`accelerator-lowering-fma.f32`
2 224×	`accelerator-lowering-fma.f64`
1 600×	`sub-neg`
840×	`distribute-neg-in`
764×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	631
1	475	622
2	1302	612
3	3617	612
4	6060	612
0	17	17
1	32	17
2	77	17
3	167	17
4	321	17
5	649	17
6	1092	17
7	1677	17
8	2038	17
9	2128	17
10	2167	17
11	2167	17
12	2167	17
13	2168	17
0	2168	14

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c)

Outputs

(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c)

(fma.f64 z (fma.f64 t #s(literal 1/16 binary64) #s(literal 0 binary64)) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 0 binary64)) (fma.f64 x y c)))

Call 2

Inputs
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c)
(+ (- (+ (* (neg x) y) (/ (* z t) 16)) (/ (* a b) 4)) c)
(+ (- (+ (* x (neg y)) (/ (* z t) 16)) (/ (* a b) 4)) c)
(+ (- (+ (* x y) (/ (* (neg z) t) 16)) (/ (* a b) 4)) c)
(+ (- (+ (* x y) (/ (* z (neg t)) 16)) (/ (* a b) 4)) c)
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* (neg a) b) 4)) c)
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a (neg b)) 4)) c)
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) (neg c))
(neg (+ (- (+ (* (neg x) y) (/ (* z t) 16)) (/ (* a b) 4)) c))
(neg (+ (- (+ (* x (neg y)) (/ (* z t) 16)) (/ (* a b) 4)) c))
(neg (+ (- (+ (* x y) (/ (* (neg z) t) 16)) (/ (* a b) 4)) c))
(neg (+ (- (+ (* x y) (/ (* z (neg t)) 16)) (/ (* a b) 4)) c))
(neg (+ (- (+ (* x y) (/ (* z t) 16)) (/ (* (neg a) b) 4)) c))
(neg (+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a (neg b)) 4)) c))
(neg (+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) (neg c)))
(+ (- (+ (* y x) (/ (* z t) 16)) (/ (* a b) 4)) c)
(+ (- (+ (* z y) (/ (* x t) 16)) (/ (* a b) 4)) c)
(+ (- (+ (* t y) (/ (* z x) 16)) (/ (* a b) 4)) c)
(+ (- (+ (* a y) (/ (* z t) 16)) (/ (* x b) 4)) c)
(+ (- (+ (* b y) (/ (* z t) 16)) (/ (* a x) 4)) c)
(+ (- (+ (* c y) (/ (* z t) 16)) (/ (* a b) 4)) x)
(+ (- (+ (* x z) (/ (* y t) 16)) (/ (* a b) 4)) c)
(+ (- (+ (* x t) (/ (* z y) 16)) (/ (* a b) 4)) c)
(+ (- (+ (* x a) (/ (* z t) 16)) (/ (* y b) 4)) c)
(+ (- (+ (* x b) (/ (* z t) 16)) (/ (* a y) 4)) c)
(+ (- (+ (* x c) (/ (* z t) 16)) (/ (* a b) 4)) y)
(+ (- (+ (* x y) (/ (* t z) 16)) (/ (* a b) 4)) c)
(+ (- (+ (* x y) (/ (* a t) 16)) (/ (* z b) 4)) c)
(+ (- (+ (* x y) (/ (* b t) 16)) (/ (* a z) 4)) c)
(+ (- (+ (* x y) (/ (* c t) 16)) (/ (* a b) 4)) z)
(+ (- (+ (* x y) (/ (* z a) 16)) (/ (* t b) 4)) c)
(+ (- (+ (* x y) (/ (* z b) 16)) (/ (* a t) 4)) c)
(+ (- (+ (* x y) (/ (* z c) 16)) (/ (* a b) 4)) t)
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* b a) 4)) c)
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* c b) 4)) a)
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a c) 4)) b)

Outputs
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c)
(+ (* x y) (+ (* z (* t 1/16)) (+ c (* b (* a -1/4)))))
(+ (- (+ (* (neg x) y) (/ (* z t) 16)) (/ (* a b) 4)) c)
(+ (- (* z (* t 1/16)) (* x y)) (+ c (* b (* a -1/4))))
(+ (- (+ (* x (neg y)) (/ (* z t) 16)) (/ (* a b) 4)) c)
(+ (- (* z (* t 1/16)) (* x y)) (+ c (* b (* a -1/4))))
(+ (- (+ (* x y) (/ (* (neg z) t) 16)) (/ (* a b) 4)) c)
(+ (+ (* x y) (* z (* t -1/16))) (+ c (* b (* a -1/4))))
(+ (- (+ (* x y) (/ (* z (neg t)) 16)) (/ (* a b) 4)) c)
(+ (+ (* x y) (* z (* t -1/16))) (+ c (* b (* a -1/4))))
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* (neg a) b) 4)) c)
(+ (* x y) (+ (* z (* t 1/16)) (+ (* b (* a 1/4)) c)))
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a (neg b)) 4)) c)
(+ (* x y) (+ (* z (* t 1/16)) (+ (* b (* a 1/4)) c)))
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) (neg c))
(+ (* x y) (+ (* z (* t 1/16)) (- (* b (* a -1/4)) c)))
(neg (+ (- (+ (* (neg x) y) (/ (* z t) 16)) (/ (* a b) 4)) c))
(+ (* x y) (+ (* z (* t -1/16)) (- (* b (* a 1/4)) c)))
(neg (+ (- (+ (* x (neg y)) (/ (* z t) 16)) (/ (* a b) 4)) c))
(+ (* x y) (+ (* z (* t -1/16)) (- (* b (* a 1/4)) c)))
(neg (+ (- (+ (* x y) (/ (* (neg z) t) 16)) (/ (* a b) 4)) c))
(+ (- (* z (* t 1/16)) (* x y)) (- (* b (* a 1/4)) c))
(neg (+ (- (+ (* x y) (/ (* z (neg t)) 16)) (/ (* a b) 4)) c))
(+ (- (* z (* t 1/16)) (* x y)) (- (* b (* a 1/4)) c))
(neg (+ (- (+ (* x y) (/ (* z t) 16)) (/ (* (neg a) b) 4)) c))
(- (* b (* a -1/4)) (+ (+ (* x y) c) (* z (* t 1/16))))
(neg (+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a (neg b)) 4)) c))
(- (* b (* a -1/4)) (+ (+ (* x y) c) (* z (* t 1/16))))
(neg (+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) (neg c)))
(- (* b (* a 1/4)) (+ (- (* x y) c) (* z (* t 1/16))))
(+ (- (+ (* y x) (/ (* z t) 16)) (/ (* a b) 4)) c)
(+ (* x y) (+ (* z (* t 1/16)) (+ c (* b (* a -1/4)))))
(+ (- (+ (* z y) (/ (* x t) 16)) (/ (* a b) 4)) c)
(+ (* b (* a -1/4)) (+ (+ c (* y z)) (* x (* t 1/16))))
(+ (- (+ (* t y) (/ (* z x) 16)) (/ (* a b) 4)) c)
(+ (* b (* a -1/4)) (+ (+ c (* x (* z 1/16))) (* y t)))
(+ (- (+ (* a y) (/ (* z t) 16)) (/ (* x b) 4)) c)
(+ (+ (* z (* t 1/16)) (* y a)) (+ c (* x (* b -1/4))))
(+ (- (+ (* b y) (/ (* z t) 16)) (/ (* a x) 4)) c)
(+ (* y b) (+ (* z (* t 1/16)) (+ c (* x (* a -1/4)))))
(+ (- (+ (* c y) (/ (* z t) 16)) (/ (* a b) 4)) x)
(+ (+ (* z (* t 1/16)) (* y c)) (+ x (* b (* a -1/4))))
(+ (- (+ (* x z) (/ (* y t) 16)) (/ (* a b) 4)) c)
(+ (* b (* a -1/4)) (+ (+ c (* x z)) (* y (* t 1/16))))
(+ (- (+ (* x t) (/ (* z y) 16)) (/ (* a b) 4)) c)
(+ (* b (* a -1/4)) (+ (+ c (* x t)) (/ (* y z) 16)))
(+ (- (+ (* x a) (/ (* z t) 16)) (/ (* y b) 4)) c)
(+ (+ (* z (* t 1/16)) (* y (* b -1/4))) (+ c (* x a)))
(+ (- (+ (* x b) (/ (* z t) 16)) (/ (* a y) 4)) c)
(+ (* z (* t 1/16)) (+ (* x b) (- c (* y (* a 1/4)))))
(+ (- (+ (* x c) (/ (* z t) 16)) (/ (* a b) 4)) y)
(+ (* b (* a -1/4)) (+ (+ y (* x c)) (* z (* t 1/16))))
(+ (- (+ (* x y) (/ (* t z) 16)) (/ (* a b) 4)) c)
(+ (* x y) (+ (* z (* t 1/16)) (+ c (* b (* a -1/4)))))
(+ (- (+ (* x y) (/ (* a t) 16)) (/ (* z b) 4)) c)
(+ (+ (* x y) (* t (* a 1/16))) (+ c (* z (* b -1/4))))
(+ (- (+ (* x y) (/ (* b t) 16)) (/ (* a z) 4)) c)
(+ (* t (/ b 16)) (+ (* x y) (+ c (* z (* a -1/4)))))
(+ (- (+ (* x y) (/ (* c t) 16)) (/ (* a b) 4)) z)
(+ (* x y) (+ (* t (* c 1/16)) (+ z (* b (* a -1/4)))))
(+ (- (+ (* x y) (/ (* z a) 16)) (/ (* t b) 4)) c)
(+ (* t (* b -1/4)) (+ (+ (* x y) c) (* z (* a 1/16))))
(+ (- (+ (* x y) (/ (* z b) 16)) (/ (* a t) 4)) c)
(+ (+ (* x y) (* b (* z 1/16))) (- c (* t (* a 1/4))))
(+ (- (+ (* x y) (/ (* z c) 16)) (/ (* a b) 4)) t)
(+ (* x y) (+ (* z (* c 1/16)) (+ t (* b (* a -1/4)))))
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* b a) 4)) c)
(+ (* x y) (+ (* z (* t 1/16)) (+ c (* b (* a -1/4)))))
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* c b) 4)) a)
(+ (+ (* x y) (* z (* t 1/16))) (+ a (* b (* c -1/4))))
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a c) 4)) b)
(+ (* c (* a -1/4)) (+ (+ (* x y) b) (* z (* t 1/16))))

Symmetry

(sort x y)

(sort z t)

(sort a b)

explain181.0ms (1.5%)

Memory

-26.4MiB live, 436.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
5	-	-	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))`
3	-	-	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`
0	-	-	`a`
0	-	-	`t`
0	-	-	`(*.f64 x y)`
0	-	-	`c`
0	-	-	`y`
0	-	-	`#s(literal 16 binary64)`
0	-	-	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
0	-	-	`(*.f64 z t)`
0	-	-	`(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)`
0	-	-	`z`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
0	-	-	`(*.f64 a b)`
0	-	-	`b`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))`	nan-rescue	5	0
↳	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`	overflow	28
↳	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`	overflow	61
↳	`(*.f64 x y)`	overflow	38
↳	`(*.f64 z t)`	overflow	28
↳	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`	overflow	35
↳	`(*.f64 a b)`	overflow	35
`+.f64`	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`	nan-rescue	3	0
↳	`(*.f64 x y)`	overflow	38
↳	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`	overflow	28
↳	`(*.f64 z t)`	overflow	28

Confusion

	Predicted +	Predicted -
+	7	0
-	0	249

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	7	0	0
-	0	0	249

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	249
1	6
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms

512×

valid

Compiler

Compiled 190 to 72 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 10.0ms (38.2% of total)

ival-div: 9.0ms (34.4% of total)

ival-add: 4.0ms (15.3% of total)

ival-sub: 2.0ms (7.6% of total)

ival-true: 1.0ms (3.8% of total)

exact: 1.0ms (3.8% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 7 to 7 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify115.0ms (0.9%)

Memory

-0.1MiB live, 159.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))
✓	cost-diff	192	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)
✓	cost-diff	320	(/.f64 (*.f64 a b) #s(literal 4 binary64))
✓	cost-diff	320	(/.f64 (*.f64 z t) #s(literal 16 binary64))

Rules

2 224×	`accelerator-lowering-fma.f32`
2 224×	`accelerator-lowering-fma.f64`
640×	`-lowering-.f32`
640×	`-lowering-.f64`
576×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	69
1	32	69
2	77	69
3	167	69
4	321	69
5	649	69
6	1092	69
7	1677	69
8	2038	69
9	2128	69
10	2167	69
11	2167	69
12	2167	69
13	2168	69
0	2168	63

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c)
(- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4))
(+ (* x y) (/ (* z t) 16))
(* x y)
x
y
(/ (* z t) 16)
(* z t)
z
t
16
(/ (* a b) 4)
(* a b)
a
b
4
c

Outputs
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c)
(fma.f64 z (fma.f64 t #s(literal 1/16 binary64) #s(literal 0 binary64)) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 0 binary64)) (fma.f64 x y c)))
(- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4))
(fma.f64 z (fma.f64 t #s(literal 1/16 binary64) #s(literal 0 binary64)) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64))))
(+ (* x y) (/ (* z t) 16))
(fma.f64 z (fma.f64 t #s(literal 1/16 binary64) #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
x
y
(/ (* z t) 16)
(fma.f64 z (fma.f64 t #s(literal 1/16 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* z t)
(fma.f64 z t #s(literal 0 binary64))
z
t
16
#s(literal 16 binary64)
(/ (* a b) 4)
(fma.f64 a (fma.f64 b #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* a b)
(fma.f64 a b #s(literal 0 binary64))
a
b
4
#s(literal 4 binary64)
c

localize44.0ms (0.4%)

Memory

-18.9MiB live, 108.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a b)
✓	accuracy	100.0%	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)
✓	accuracy	99.0%	(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))
✓	accuracy	98.3%	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))

Samples

28.0ms

256×

valid

Compiler

Compiled 71 to 19 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 6.0ms (40.5% of total)

ival-mult: 5.0ms (33.7% of total)

ival-add: 2.0ms (13.5% of total)

ival-sub: 1.0ms (6.7% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.2%)

Memory

15.2MiB live, 53.9MiB allocated

Counts

6 → 276

Calls

Call 1

Inputs
#<alt (/ (* z t) 16)>
#<alt (/ (* a b) 4)>
#<alt (+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c)>
#<alt (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4))>
#<alt (+ (* x y) (/ (* z t) 16))>
#<alt (* a b)>

Outputs
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (* x y)>
#<alt (* x (- (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))) (* 1/4 (/ (* a b) x))))>
#<alt (* x (- (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))) (* 1/4 (/ (* a b) x))))>
#<alt (* x (- (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))) (* 1/4 (/ (* a b) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) x)))))>
#<alt (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (* x y)>
#<alt (* y (- (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))) (* 1/4 (/ (* a b) y))))>
#<alt (* y (- (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))) (* 1/4 (/ (* a b) y))))>
#<alt (* y (- (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))) (* 1/4 (/ (* a b) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) y)))))>
#<alt (- (+ c (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (* 1/16 (* t z))>
#<alt (* z (- (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))) (* 1/4 (/ (* a b) z))))>
#<alt (* z (- (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))) (* 1/4 (/ (* a b) z))))>
#<alt (* z (- (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))) (* 1/4 (/ (* a b) z))))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))>
#<alt (- (+ c (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (* 1/16 (* t z))>
#<alt (* t (- (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))) (* 1/4 (/ (* a b) t))))>
#<alt (* t (- (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))) (* 1/4 (/ (* a b) t))))>
#<alt (* t (- (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))) (* 1/4 (/ (* a b) t))))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* t (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) t)) (* -1/16 z))))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (* -1/4 (* a b))>
#<alt (* a (- (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a))) (* 1/4 b)))>
#<alt (* a (- (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a))) (* 1/4 b)))>
#<alt (* a (- (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a))) (* 1/4 b)))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* a (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* -1/4 b))))>
#<alt (* -1 (* a (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* -1/4 b))))>
#<alt (* -1 (* a (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* -1/4 b))))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (* -1/4 (* a b))>
#<alt (* b (- (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b))) (* 1/4 a)))>
#<alt (* b (- (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b))) (* 1/4 a)))>
#<alt (* b (- (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b))) (* 1/4 a)))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* b (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* -1/4 a))))>
#<alt (* -1 (* b (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* -1/4 a))))>
#<alt (* -1 (* b (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* -1/4 a))))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt c>
#<alt (* c (- (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))) (* 1/4 (/ (* a b) c))))>
#<alt (* c (- (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))) (* 1/4 (/ (* a b) c))))>
#<alt (* c (- (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))) (* 1/4 (/ (* a b) c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b))) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b))) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b))) c)) 1)))>
#<alt (- (* 1/16 (* t z)) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (* x y)>
#<alt (* x (- (+ y (* 1/16 (/ (* t z) x))) (* 1/4 (/ (* a b) x))))>
#<alt (* x (- (+ y (* 1/16 (/ (* t z) x))) (* 1/4 (/ (* a b) x))))>
#<alt (* x (- (+ y (* 1/16 (/ (* t z) x))) (* 1/4 (/ (* a b) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) x)))))>
#<alt (- (* 1/16 (* t z)) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (* x y)>
#<alt (* y (- (+ x (* 1/16 (/ (* t z) y))) (* 1/4 (/ (* a b) y))))>
#<alt (* y (- (+ x (* 1/16 (/ (* t z) y))) (* 1/4 (/ (* a b) y))))>
#<alt (* y (- (+ x (* 1/16 (/ (* t z) y))) (* 1/4 (/ (* a b) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) y)))))>
#<alt (- (* x y) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (* 1/16 (* t z))>
#<alt (* z (- (+ (* 1/16 t) (/ (* x y) z)) (* 1/4 (/ (* a b) z))))>
#<alt (* z (- (+ (* 1/16 t) (/ (* x y) z)) (* 1/4 (/ (* a b) z))))>
#<alt (* z (- (+ (* 1/16 t) (/ (* x y) z)) (* 1/4 (/ (* a b) z))))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* z (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) z)) (* -1/16 t))))>
#<alt (- (* x y) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (* 1/16 (* t z))>
#<alt (* t (- (+ (* 1/16 z) (/ (* x y) t)) (* 1/4 (/ (* a b) t))))>
#<alt (* t (- (+ (* 1/16 z) (/ (* x y) t)) (* 1/4 (/ (* a b) t))))>
#<alt (* t (- (+ (* 1/16 z) (/ (* x y) t)) (* 1/4 (/ (* a b) t))))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* t (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) t)) (* -1/16 z))))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))>
#<alt (* -1/4 (* a b))>
#<alt (* a (- (+ (* 1/16 (/ (* t z) a)) (/ (* x y) a)) (* 1/4 b)))>
#<alt (* a (- (+ (* 1/16 (/ (* t z) a)) (/ (* x y) a)) (* 1/4 b)))>
#<alt (* a (- (+ (* 1/16 (/ (* t z) a)) (/ (* x y) a)) (* 1/4 b)))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* a (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) a)) (* -1/4 b))))>
#<alt (* -1 (* a (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) a)) (* -1/4 b))))>
#<alt (* -1 (* a (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) a)) (* -1/4 b))))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))>
#<alt (* -1/4 (* a b))>
#<alt (* b (- (+ (* 1/16 (/ (* t z) b)) (/ (* x y) b)) (* 1/4 a)))>
#<alt (* b (- (+ (* 1/16 (/ (* t z) b)) (/ (* x y) b)) (* 1/4 a)))>
#<alt (* b (- (+ (* 1/16 (/ (* t z) b)) (/ (* x y) b)) (* 1/4 a)))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* b (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) b)) (* -1/4 a))))>
#<alt (* -1 (* b (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) b)) (* -1/4 a))))>
#<alt (* -1 (* b (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) b)) (* -1/4 a))))>
#<alt (* 1/16 (* t z))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 1/16 (/ (* t z) x))))>
#<alt (* x (+ y (* 1/16 (/ (* t z) x))))>
#<alt (* x (+ y (* 1/16 (/ (* t z) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))>
#<alt (* 1/16 (* t z))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 1/16 (/ (* t z) y))))>
#<alt (* y (+ x (* 1/16 (/ (* t z) y))))>
#<alt (* y (+ x (* 1/16 (/ (* t z) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))>
#<alt (* x y)>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (* 1/16 (* t z))>
#<alt (* z (+ (* 1/16 t) (/ (* x y) z)))>
#<alt (* z (+ (* 1/16 t) (/ (* x y) z)))>
#<alt (* z (+ (* 1/16 t) (/ (* x y) z)))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))>
#<alt (* x y)>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (* 1/16 (* t z))>
#<alt (* t (+ (* 1/16 z) (/ (* x y) t)))>
#<alt (* t (+ (* 1/16 z) (/ (* x y) t)))>
#<alt (* t (+ (* 1/16 z) (/ (* x y) t)))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>

Calls

69 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c)
1.0ms	y	@	-inf	(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c)
1.0ms	a	@	inf	(/ (* a b) 4)
1.0ms	t	@	0	(/ (* z t) 16)
1.0ms	x	@	0	(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c)

rewrite788.0ms (6.4%)

Memory

-4.1MiB live, 663.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 364×	`-lowering-.f32`
5 364×	`-lowering-.f64`
4 844×	`/-lowering-/.f32`
4 844×	`/-lowering-/.f64`
4 258×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	54
1	88	54
2	935	54
0	8616	49

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 368

Calls

Call 1

Inputs
(/ (* z t) 16)
(/ (* a b) 4)
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c)
(- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4))
(+ (* x y) (/ (* z t) 16))
(* a b)

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 16 binary64) (.f64 z t))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z t) #s(literal -16 binary64)))
(neg.f64 (/.f64 (*.f64 z t) #s(literal -16 binary64)))
(/.f64 (*.f64 z t) #s(literal 16 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z t)) #s(literal -16 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (*.f64 z t)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 z t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 16 binary64) (*.f64 z t)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 16 binary64) (*.f64 z t))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 z t)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z t))) #s(literal 16 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z t)))) #s(literal -16 binary64))
(pow.f64 (/.f64 #s(literal 16 binary64) (*.f64 z t)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 z t)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 z (.f64 t #s(literal 1/16 binary64)))
(.f64 t (.f64 z #s(literal 1/16 binary64)))
(*.f64 t (/.f64 z #s(literal 16 binary64)))
(.f64 (.f64 z t) #s(literal 1/16 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 z t)) #s(literal -1/16 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 z t) #s(literal 1/16 binary64)))
(.f64 #s(literal 1/16 binary64) (.f64 z t))
(.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 z t)) #s(literal -1 binary64)))
(.f64 (.f64 t #s(literal 1/16 binary64)) z)
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 a b))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 a b) #s(literal -1/4 binary64)))
(neg.f64 (.f64 (.f64 a b) #s(literal -1/4 binary64)))
(/.f64 (*.f64 a b) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 a b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 a b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 a b)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)))) #s(literal -4 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 a b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 a (.f64 b #s(literal 1/4 binary64)))
(.f64 b (.f64 a #s(literal 1/4 binary64)))
(*.f64 b (/.f64 a #s(literal 4 binary64)))
(.f64 (.f64 a b) #s(literal 1/4 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 a b)) #s(literal -1/4 binary64))
(.f64 #s(literal 1 binary64) (.f64 a (*.f64 b #s(literal 1/4 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 a b)) #s(literal -1 binary64)))
(.f64 (.f64 b #s(literal 1/4 binary64)) a)
(+.f64 (.f64 (.f64 z t) #s(literal 1/16 binary64)) (-.f64 (.f64 x y) (fma.f64 a (.f64 b #s(literal 1/4 binary64)) (neg.f64 c))))
(+.f64 (.f64 x y) (+.f64 (fma.f64 z (.f64 t #s(literal 1/16 binary64)) (.f64 (.f64 a b) #s(literal -1/4 binary64))) c))
(+.f64 (.f64 x y) (-.f64 (.f64 (.f64 z t) #s(literal 1/16 binary64)) (fma.f64 a (.f64 b #s(literal 1/4 binary64)) (neg.f64 c))))
(+.f64 (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64))) (neg.f64 (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (neg.f64 c))))
(+.f64 (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64))) (fma.f64 (*.f64 a b) #s(literal -1/4 binary64) c))
(+.f64 (fma.f64 (.f64 a b) #s(literal -1/4 binary64) (fma.f64 x y (.f64 (*.f64 z t) #s(literal 1/16 binary64)))) c)
(+.f64 c (fma.f64 (.f64 a b) #s(literal -1/4 binary64) (fma.f64 x y (.f64 (*.f64 z t) #s(literal 1/16 binary64)))))
(+.f64 (+.f64 c (.f64 x y)) (fma.f64 z (.f64 t #s(literal 1/16 binary64)) (.f64 (.f64 a b) #s(literal -1/4 binary64))))
(+.f64 (+.f64 c (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64)))) (.f64 (.f64 a b) #s(literal -1/4 binary64)))
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(pow.f64 (/.f64 (fma.f64 (.f64 a (.f64 b #s(literal 1/4 binary64))) (fma.f64 a (.f64 b #s(literal 1/4 binary64)) (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64)))) (.f64 (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64))) (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64))))) (fma.f64 (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64))) (.f64 (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64))) (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64)))) (.f64 (.f64 (.f64 a b) (.f64 (.f64 a b) (*.f64 a b))) #s(literal -1/64 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a (.f64 b #s(literal 1/4 binary64)) (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64)))) (.f64 (fma.f64 a (.f64 b #s(literal 1/4 binary64)) (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64)))) (fma.f64 (.f64 a b) #s(literal -1/4 binary64) (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64)))))) #s(literal -1 binary64))
(.f64 (fma.f64 (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64))) (.f64 (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64))) (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64)))) (.f64 (.f64 (.f64 a b) (.f64 (.f64 a b) (.f64 a b))) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 b #s(literal 1/4 binary64))) (fma.f64 a (.f64 b #s(literal 1/4 binary64)) (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64)))) (.f64 (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64))) (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64)))))))
(.f64 (.f64 (fma.f64 a (.f64 b #s(literal 1/4 binary64)) (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64)))) (fma.f64 (.f64 a b) #s(literal -1/4 binary64) (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 b #s(literal 1/4 binary64)) (fma.f64 x y (.f64 (*.f64 z t) #s(literal 1/16 binary64))))))
(+.f64 (.f64 (.f64 z t) #s(literal 1/16 binary64)) (*.f64 x y))
(+.f64 (.f64 x y) (.f64 (*.f64 z t) #s(literal 1/16 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 x y) (.f64 (.f64 z t) #s(literal 1/16 binary64)))) (/.f64 (.f64 (.f64 (.f64 z t) (.f64 z t)) #s(literal 1/256 binary64)) (-.f64 (.f64 x y) (.f64 (*.f64 z t) #s(literal 1/16 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 z t) (.f64 z t)) #s(literal 1/256 binary64)) (-.f64 (.f64 (.f64 z t) #s(literal 1/16 binary64)) (.f64 x y))) (/.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 (.f64 z t) #s(literal 1/16 binary64)) (*.f64 x y))))
(fma.f64 z (.f64 t #s(literal 1/16 binary64)) (.f64 x y))
(fma.f64 t (.f64 z #s(literal 1/16 binary64)) (.f64 x y))
(fma.f64 t (/.f64 z #s(literal 16 binary64)) (*.f64 x y))
(fma.f64 (.f64 z t) #s(literal 1/16 binary64) (.f64 x y))
(fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64)))
(fma.f64 y x (.f64 (.f64 z t) #s(literal 1/16 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 z t)) #s(literal -1/16 binary64) (.f64 x y))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 z t) #s(literal 1/16 binary64)) (*.f64 x y))
(fma.f64 #s(literal 1/16 binary64) (.f64 z t) (.f64 x y))
(fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 z t)) #s(literal -1 binary64)) (.f64 x y))
(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 x y))
(/.f64 (fma.f64 (.f64 (.f64 z t) (.f64 (.f64 z t) (.f64 z t))) #s(literal 1/4096 binary64) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)))) (fma.f64 (.f64 (.f64 z t) #s(literal 1/16 binary64)) (-.f64 (.f64 (.f64 z t) #s(literal 1/16 binary64)) (.f64 x y)) (.f64 (.f64 x y) (.f64 x y))))
(/.f64 (fma.f64 (.f64 (.f64 z t) (.f64 (.f64 z t) (.f64 z t))) #s(literal 1/4096 binary64) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)))) (fma.f64 (.f64 (.f64 z t) (.f64 z t)) #s(literal 1/256 binary64) (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 (.f64 z t) #s(literal 1/16 binary64)) (.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 z t) #s(literal 1/16 binary64)) (-.f64 (.f64 (.f64 z t) #s(literal 1/16 binary64)) (.f64 x y)) (.f64 (.f64 x y) (.f64 x y))) (fma.f64 (.f64 (.f64 z t) (.f64 (.f64 z t) (.f64 z t))) #s(literal 1/4096 binary64) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z t) #s(literal 1/16 binary64))) (.f64 (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64))) (-.f64 (.f64 x y) (.f64 (*.f64 z t) #s(literal 1/16 binary64))))))
(/.f64 (.f64 (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64))) (-.f64 (.f64 x y) (.f64 (.f64 z t) #s(literal 1/16 binary64)))) (-.f64 (.f64 x y) (.f64 (*.f64 z t) #s(literal 1/16 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 z t) #s(literal 1/16 binary64)) (-.f64 (.f64 (.f64 z t) #s(literal 1/16 binary64)) (.f64 x y)) (.f64 (.f64 x y) (.f64 x y))) (fma.f64 (.f64 (.f64 z t) (.f64 (.f64 z t) (.f64 z t))) #s(literal 1/4096 binary64) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z t) #s(literal 1/16 binary64))) (.f64 (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64))) (-.f64 (.f64 x y) (.f64 (*.f64 z t) #s(literal 1/16 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 z t) (.f64 (.f64 z t) (.f64 z t))) #s(literal 1/4096 binary64) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))))) (neg.f64 (fma.f64 (.f64 (.f64 z t) #s(literal 1/16 binary64)) (-.f64 (.f64 (.f64 z t) #s(literal 1/16 binary64)) (.f64 x y)) (.f64 (.f64 x y) (.f64 x y)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 z t) (.f64 (.f64 z t) (.f64 z t))) #s(literal 1/4096 binary64) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))))) (neg.f64 (fma.f64 (.f64 (.f64 z t) (.f64 z t)) #s(literal 1/256 binary64) (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 (.f64 z t) #s(literal 1/16 binary64)) (.f64 x y))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64))) (-.f64 (.f64 x y) (.f64 (.f64 z t) #s(literal 1/16 binary64))))) (neg.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z t) #s(literal 1/16 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 z t) (.f64 z t)) #s(literal 1/256 binary64)) (.f64 (.f64 x y) (.f64 x y))) (-.f64 (.f64 (.f64 z t) #s(literal 1/16 binary64)) (.f64 x y)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 x y) (.f64 (.f64 z t) #s(literal 1/16 binary64)))) (.f64 (-.f64 (.f64 x y) (.f64 (.f64 z t) #s(literal 1/16 binary64))) (.f64 (.f64 (.f64 z t) (.f64 z t)) #s(literal 1/256 binary64)))) (.f64 (-.f64 (.f64 x y) (.f64 (.f64 z t) #s(literal 1/16 binary64))) (-.f64 (.f64 x y) (.f64 (.f64 z t) #s(literal 1/16 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 z t) (.f64 (.f64 z t) (.f64 z t))) #s(literal 1/4096 binary64) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 z t) #s(literal 1/16 binary64)) (-.f64 (.f64 (.f64 z t) #s(literal 1/16 binary64)) (.f64 x y)) (.f64 (.f64 x y) (.f64 x y))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64))) (-.f64 (.f64 x y) (.f64 (.f64 z t) #s(literal 1/16 binary64)))))) (neg.f64 (neg.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z t) #s(literal 1/16 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 z t) (.f64 z t)) #s(literal 1/256 binary64)) (.f64 (.f64 x y) (.f64 x y)))) (neg.f64 (-.f64 (.f64 (.f64 z t) #s(literal 1/16 binary64)) (.f64 x y))))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 z t) #s(literal 1/16 binary64)) (-.f64 (.f64 (.f64 z t) #s(literal 1/16 binary64)) (.f64 x y)) (.f64 (.f64 x y) (.f64 x y))) (fma.f64 (.f64 (.f64 z t) (.f64 (.f64 z t) (.f64 z t))) #s(literal 1/4096 binary64) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z t) #s(literal 1/16 binary64))) (.f64 (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64))) (-.f64 (.f64 x y) (.f64 (*.f64 z t) #s(literal 1/16 binary64))))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 z t) (.f64 (.f64 z t) (.f64 z t))) #s(literal 1/4096 binary64) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z t) #s(literal 1/16 binary64)) (-.f64 (.f64 (.f64 z t) #s(literal 1/16 binary64)) (.f64 x y)) (.f64 (.f64 x y) (*.f64 x y)))))
(.f64 (.f64 (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64))) (-.f64 (.f64 x y) (.f64 (.f64 z t) #s(literal 1/16 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (.f64 (.f64 z t) #s(literal 1/16 binary64)))))
(*.f64 a b)
(*.f64 b a)

simplify492.0ms (4%)

Memory

41.5MiB live, 707.7MiB allocated

Algorithm

1×	egg-herbie

Rules

17 544×	`accelerator-lowering-fma.f32`
17 544×	`accelerator-lowering-fma.f64`
4 640×	`-lowering-.f32`
4 640×	`-lowering-.f64`
2 338×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	3162
1	683	3126
2	2202	3084
3	6755	3078
0	8507	2767

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(- (+ c (* 1/16 (* t z))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(* x y)
(* x (- (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))) (* 1/4 (/ (* a b) x))))
(* x (- (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))) (* 1/4 (/ (* a b) x))))
(* x (- (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))) (* 1/4 (/ (* a b) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) x)))))
(- (+ c (* 1/16 (* t z))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(* x y)
(* y (- (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))) (* 1/4 (/ (* a b) y))))
(* y (- (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))) (* 1/4 (/ (* a b) y))))
(* y (- (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))) (* 1/4 (/ (* a b) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) y)))))
(- (+ c (* x y)) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(* 1/16 (* t z))
(* z (- (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))) (* 1/4 (/ (* a b) z))))
(* z (- (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))) (* 1/4 (/ (* a b) z))))
(* z (- (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))) (* 1/4 (/ (* a b) z))))
(* 1/16 (* t z))
(* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))
(- (+ c (* x y)) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(* 1/16 (* t z))
(* t (- (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))) (* 1/4 (/ (* a b) t))))
(* t (- (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))) (* 1/4 (/ (* a b) t))))
(* t (- (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))) (* 1/4 (/ (* a b) t))))
(* 1/16 (* t z))
(* -1 (* t (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) t)) (* -1/16 z))))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(* -1/4 (* a b))
(* a (- (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a))) (* 1/4 b)))
(* a (- (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a))) (* 1/4 b)))
(* a (- (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a))) (* 1/4 b)))
(* -1/4 (* a b))
(* -1 (* a (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* -1/4 b))))
(* -1 (* a (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* -1/4 b))))
(* -1 (* a (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* -1/4 b))))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(* -1/4 (* a b))
(* b (- (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b))) (* 1/4 a)))
(* b (- (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b))) (* 1/4 a)))
(* b (- (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b))) (* 1/4 a)))
(* -1/4 (* a b))
(* -1 (* b (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* -1/4 a))))
(* -1 (* b (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* -1/4 a))))
(* -1 (* b (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* -1/4 a))))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
c
(* c (- (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))) (* 1/4 (/ (* a b) c))))
(* c (- (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))) (* 1/4 (/ (* a b) c))))
(* c (- (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))) (* 1/4 (/ (* a b) c))))
c
(* -1 (* c (- (* -1 (/ (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b))) c)) 1)))
(* -1 (* c (- (* -1 (/ (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b))) c)) 1)))
(* -1 (* c (- (* -1 (/ (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b))) c)) 1)))
(- (* 1/16 (* t z)) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(* x y)
(* x (- (+ y (* 1/16 (/ (* t z) x))) (* 1/4 (/ (* a b) x))))
(* x (- (+ y (* 1/16 (/ (* t z) x))) (* 1/4 (/ (* a b) x))))
(* x (- (+ y (* 1/16 (/ (* t z) x))) (* 1/4 (/ (* a b) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) x)))))
(- (* 1/16 (* t z)) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(* x y)
(* y (- (+ x (* 1/16 (/ (* t z) y))) (* 1/4 (/ (* a b) y))))
(* y (- (+ x (* 1/16 (/ (* t z) y))) (* 1/4 (/ (* a b) y))))
(* y (- (+ x (* 1/16 (/ (* t z) y))) (* 1/4 (/ (* a b) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) y)))))
(- (* x y) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(* 1/16 (* t z))
(* z (- (+ (* 1/16 t) (/ (* x y) z)) (* 1/4 (/ (* a b) z))))
(* z (- (+ (* 1/16 t) (/ (* x y) z)) (* 1/4 (/ (* a b) z))))
(* z (- (+ (* 1/16 t) (/ (* x y) z)) (* 1/4 (/ (* a b) z))))
(* 1/16 (* t z))
(* -1 (* z (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) z)) (* -1/16 t))))
(- (* x y) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(* 1/16 (* t z))
(* t (- (+ (* 1/16 z) (/ (* x y) t)) (* 1/4 (/ (* a b) t))))
(* t (- (+ (* 1/16 z) (/ (* x y) t)) (* 1/4 (/ (* a b) t))))
(* t (- (+ (* 1/16 z) (/ (* x y) t)) (* 1/4 (/ (* a b) t))))
(* 1/16 (* t z))
(* -1 (* t (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) t)) (* -1/16 z))))
(+ (* 1/16 (* t z)) (* x y))
(+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))
(+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))
(+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))
(* -1/4 (* a b))
(* a (- (+ (* 1/16 (/ (* t z) a)) (/ (* x y) a)) (* 1/4 b)))
(* a (- (+ (* 1/16 (/ (* t z) a)) (/ (* x y) a)) (* 1/4 b)))
(* a (- (+ (* 1/16 (/ (* t z) a)) (/ (* x y) a)) (* 1/4 b)))
(* -1/4 (* a b))
(* -1 (* a (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) a)) (* -1/4 b))))
(* -1 (* a (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) a)) (* -1/4 b))))
(* -1 (* a (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) a)) (* -1/4 b))))
(+ (* 1/16 (* t z)) (* x y))
(+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))
(+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))
(+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))
(* -1/4 (* a b))
(* b (- (+ (* 1/16 (/ (* t z) b)) (/ (* x y) b)) (* 1/4 a)))
(* b (- (+ (* 1/16 (/ (* t z) b)) (/ (* x y) b)) (* 1/4 a)))
(* b (- (+ (* 1/16 (/ (* t z) b)) (/ (* x y) b)) (* 1/4 a)))
(* -1/4 (* a b))
(* -1 (* b (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) b)) (* -1/4 a))))
(* -1 (* b (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) b)) (* -1/4 a))))
(* -1 (* b (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) b)) (* -1/4 a))))
(* 1/16 (* t z))
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(* x y)
(* x (+ y (* 1/16 (/ (* t z) x))))
(* x (+ y (* 1/16 (/ (* t z) x))))
(* x (+ y (* 1/16 (/ (* t z) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))
(* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))
(* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))
(* 1/16 (* t z))
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(* x y)
(* y (+ x (* 1/16 (/ (* t z) y))))
(* y (+ x (* 1/16 (/ (* t z) y))))
(* y (+ x (* 1/16 (/ (* t z) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))
(* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))
(* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))
(* x y)
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(* 1/16 (* t z))
(* z (+ (* 1/16 t) (/ (* x y) z)))
(* z (+ (* 1/16 t) (/ (* x y) z)))
(* z (+ (* 1/16 t) (/ (* x y) z)))
(* 1/16 (* t z))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))
(* x y)
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(* 1/16 (* t z))
(* t (+ (* 1/16 z) (/ (* x y) t)))
(* t (+ (* 1/16 z) (/ (* x y) t)))
(* t (+ (* 1/16 z) (/ (* x y) t)))
(* 1/16 (* t z))
(* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)

Outputs
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(- (+ c (* 1/16 (* t z))) (* 1/4 (* a b)))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (- (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))) (* 1/4 (/ (* a b) x))))
(fma.f64 x y (-.f64 (.f64 x (/.f64 c x)) (.f64 (fma.f64 t (fma.f64 z #s(literal -1/16 binary64) #s(literal 0 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 a b))) #s(literal 1 binary64))))
(* x (- (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))) (* 1/4 (/ (* a b) x))))
(fma.f64 x y (-.f64 (.f64 x (/.f64 c x)) (.f64 (fma.f64 t (fma.f64 z #s(literal -1/16 binary64) #s(literal 0 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 a b))) #s(literal 1 binary64))))
(* x (- (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))) (* 1/4 (/ (* a b) x))))
(fma.f64 x y (-.f64 (.f64 x (/.f64 c x)) (.f64 (fma.f64 t (fma.f64 z #s(literal -1/16 binary64) #s(literal 0 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 a b))) #s(literal 1 binary64))))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) x)))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a b)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) x)))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a b)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) x)))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a b)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c)) #s(literal 1 binary64)))
(- (+ c (* 1/16 (* t z))) (* 1/4 (* a b)))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (- (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))) (* 1/4 (/ (* a b) y))))
(fma.f64 x y (-.f64 (.f64 y (/.f64 c y)) (.f64 (fma.f64 t (fma.f64 z #s(literal -1/16 binary64) #s(literal 0 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 a b))) #s(literal 1 binary64))))
(* y (- (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))) (* 1/4 (/ (* a b) y))))
(fma.f64 x y (-.f64 (.f64 y (/.f64 c y)) (.f64 (fma.f64 t (fma.f64 z #s(literal -1/16 binary64) #s(literal 0 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 a b))) #s(literal 1 binary64))))
(* y (- (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))) (* 1/4 (/ (* a b) y))))
(fma.f64 x y (-.f64 (.f64 y (/.f64 c y)) (.f64 (fma.f64 t (fma.f64 z #s(literal -1/16 binary64) #s(literal 0 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 a b))) #s(literal 1 binary64))))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) y)))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a b)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c)) #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) y)))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a b)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c)) #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) y)))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a b)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c)) #s(literal 1 binary64)))
(- (+ c (* x y)) (* 1/4 (* a b)))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* z (- (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))) (* 1/4 (/ (* a b) z))))
(-.f64 (.f64 z (fma.f64 #s(literal 1/16 binary64) t (/.f64 c z))) (neg.f64 (.f64 (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y #s(literal 0 binary64))) #s(literal 1 binary64))))
(* z (- (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))) (* 1/4 (/ (* a b) z))))
(-.f64 (.f64 z (fma.f64 #s(literal 1/16 binary64) t (/.f64 c z))) (neg.f64 (.f64 (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y #s(literal 0 binary64))) #s(literal 1 binary64))))
(* z (- (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))) (* 1/4 (/ (* a b) z))))
(-.f64 (.f64 z (fma.f64 #s(literal 1/16 binary64) t (/.f64 c z))) (neg.f64 (.f64 (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y #s(literal 0 binary64))) #s(literal 1 binary64))))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))
(-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a b)) (fma.f64 x y c)) #s(literal 1 binary64) (*.f64 t (fma.f64 z #s(literal -1/16 binary64) #s(literal 0 binary64)))))
(* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))
(-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a b)) (fma.f64 x y c)) #s(literal 1 binary64) (*.f64 t (fma.f64 z #s(literal -1/16 binary64) #s(literal 0 binary64)))))
(* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))
(-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a b)) (fma.f64 x y c)) #s(literal 1 binary64) (*.f64 t (fma.f64 z #s(literal -1/16 binary64) #s(literal 0 binary64)))))
(- (+ c (* x y)) (* 1/4 (* a b)))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* t (- (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))) (* 1/4 (/ (* a b) t))))
(-.f64 (.f64 t (fma.f64 #s(literal 1/16 binary64) z (/.f64 c t))) (neg.f64 (.f64 (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y #s(literal 0 binary64))) #s(literal 1 binary64))))
(* t (- (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))) (* 1/4 (/ (* a b) t))))
(-.f64 (.f64 t (fma.f64 #s(literal 1/16 binary64) z (/.f64 c t))) (neg.f64 (.f64 (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y #s(literal 0 binary64))) #s(literal 1 binary64))))
(* t (- (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))) (* 1/4 (/ (* a b) t))))
(-.f64 (.f64 t (fma.f64 #s(literal 1/16 binary64) z (/.f64 c t))) (neg.f64 (.f64 (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y #s(literal 0 binary64))) #s(literal 1 binary64))))
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(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y #s(literal 0 binary64))))
(+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y #s(literal 0 binary64))))
(* -1/4 (* a b))
(.f64 a (.f64 b #s(literal -1/4 binary64)))
(* a (- (+ (* 1/16 (/ (* t z) a)) (/ (* x y) a)) (* 1/4 b)))
(.f64 a (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 t z) a) (fma.f64 b #s(literal -1/4 binary64) (/.f64 (fma.f64 x y #s(literal 0 binary64)) a))))
(* a (- (+ (* 1/16 (/ (* t z) a)) (/ (* x y) a)) (* 1/4 b)))
(.f64 a (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 t z) a) (fma.f64 b #s(literal -1/4 binary64) (/.f64 (fma.f64 x y #s(literal 0 binary64)) a))))
(* a (- (+ (* 1/16 (/ (* t z) a)) (/ (* x y) a)) (* 1/4 b)))
(.f64 a (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 t z) a) (fma.f64 b #s(literal -1/4 binary64) (/.f64 (fma.f64 x y #s(literal 0 binary64)) a))))
(* -1/4 (* a b))
(.f64 a (.f64 b #s(literal -1/4 binary64)))
(* -1 (* a (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) a)) (* -1/4 b))))
(.f64 a (fma.f64 b #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y #s(literal 0 binary64))) a)))
(* -1 (* a (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) a)) (* -1/4 b))))
(.f64 a (fma.f64 b #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y #s(literal 0 binary64))) a)))
(* -1 (* a (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) a)) (* -1/4 b))))
(.f64 a (fma.f64 b #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y #s(literal 0 binary64))) a)))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y #s(literal 0 binary64))))
(+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y #s(literal 0 binary64))))
(+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y #s(literal 0 binary64))))
(* -1/4 (* a b))
(.f64 a (.f64 b #s(literal -1/4 binary64)))
(* b (- (+ (* 1/16 (/ (* t z) b)) (/ (* x y) b)) (* 1/4 a)))
(.f64 b (fma.f64 x (/.f64 y b) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 t z) b) (*.f64 a #s(literal -1/4 binary64)))))
(* b (- (+ (* 1/16 (/ (* t z) b)) (/ (* x y) b)) (* 1/4 a)))
(.f64 b (fma.f64 x (/.f64 y b) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 t z) b) (*.f64 a #s(literal -1/4 binary64)))))
(* b (- (+ (* 1/16 (/ (* t z) b)) (/ (* x y) b)) (* 1/4 a)))
(.f64 b (fma.f64 x (/.f64 y b) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 t z) b) (*.f64 a #s(literal -1/4 binary64)))))
(* -1/4 (* a b))
(.f64 a (.f64 b #s(literal -1/4 binary64)))
(* -1 (* b (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) b)) (* -1/4 a))))
(.f64 b (fma.f64 a #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y #s(literal 0 binary64))) b)))
(* -1 (* b (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) b)) (* -1/4 a))))
(.f64 b (fma.f64 a #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y #s(literal 0 binary64))) b)))
(* -1 (* b (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) b)) (* -1/4 a))))
(.f64 b (fma.f64 a #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y #s(literal 0 binary64))) b)))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (* 1/16 (/ (* t z) x))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (* 1/16 (/ (* t z) x))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (* 1/16 (/ (* t z) x))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (* 1/16 (/ (* t z) y))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (* 1/16 (/ (* t z) y))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (* 1/16 (/ (* t z) y))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* z (+ (* 1/16 t) (/ (* x y) z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* z (+ (* 1/16 t) (/ (* x y) z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* z (+ (* 1/16 t) (/ (* x y) z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* t (+ (* 1/16 z) (/ (* x y) t)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* t (+ (* 1/16 z) (/ (* x y) t)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* t (+ (* 1/16 z) (/ (* x y) t)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)

eval88.0ms (0.7%)

Memory: -19.5MiB live, 215.7MiB allocated
Compiler: Compiled 25 015 to 1 531 computations (93.9% saved)

prune86.0ms (0.7%)

Memory

31.5MiB live, 149.8MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	633	11	644
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	634	11	645

Accuracy

100.0%

Counts

645 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (-.f64 (.f64 x y) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (neg.f64 c))))
	32.4%	(fma.f64 x y #s(literal 0 binary64))
	74.7%	(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
	75.5%	(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
	69.5%	(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c))
▶	27.4%	(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
▶	52.0%	(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
▶	46.6%	(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) c)
	44.9%	(+.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) c)
	25.8%	(.f64 a (.f64 b #s(literal -1/4 binary64)))
▶	21.4%	c

Compiler

Compiled 318 to 242 computations (23.9% saved)

simplify104.0ms (0.8%)

Memory

4.8MiB live, 118.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 t z)
✓	cost-diff	0	(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
✓	cost-diff	192	(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) c)
✓	cost-diff	-64	(*.f64 t z)
✓	cost-diff	0	(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 x y #s(literal 0 binary64))
✓	cost-diff	192	(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
✓	cost-diff	-64	(*.f64 t #s(literal 1/16 binary64))
✓	cost-diff	0	(fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (neg.f64 c))
✓	cost-diff	0	(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (-.f64 (.f64 x y) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (neg.f64 c))))
✓	cost-diff	384	(-.f64 (.f64 x y) (fma.f64 a (.f64 b #s(literal 1/4 binary64)) (neg.f64 c)))

Rules

2 224×	`accelerator-lowering-fma.f32`
2 224×	`accelerator-lowering-fma.f64`
640×	`-lowering-.f32`
640×	`-lowering-.f64`
466×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	100
1	62	100
2	141	100
3	364	100
4	646	100
5	1099	100
6	1577	100
7	1858	100
8	1924	100
9	1928	100
10	1928	100
11	1928	100
0	1928	93

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (* t 1/16) z) (- (* x y) (+ (* a (* b 1/4)) (neg c))))
(* t 1/16)
t
1/16
z
(- (* x y) (+ (* a (* b 1/4)) (neg c)))
(* x y)
x
y
(+ (* a (* b 1/4)) (neg c))
a
(* b 1/4)
b
1/4
(neg c)
c
c
(+ (+ (* x y) 0) c)
(+ (* x y) 0)
x
y
0
c
(+ (* 1/16 (* t z)) 0)
1/16
(* t z)
t
z
0
(+ (+ (* 1/16 (* t z)) 0) c)
(+ (* 1/16 (* t z)) 0)
1/16
(* t z)
t
z
0
c

Outputs
(+ (* (* t 1/16) z) (- (* x y) (+ (* a (* b 1/4)) (neg c))))
(fma.f64 x y (fma.f64 t (fma.f64 #s(literal 1/16 binary64) z #s(literal 0 binary64)) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 0 binary64)) c)))
(* t 1/16)
(fma.f64 t #s(literal 1/16 binary64) #s(literal 0 binary64))
t
1/16
#s(literal 1/16 binary64)
z
(- (* x y) (+ (* a (* b 1/4)) (neg c)))
(fma.f64 x y (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 0 binary64)) c))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
x
y
(+ (* a (* b 1/4)) (neg c))
(-.f64 #s(literal 0 binary64) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 0 binary64)) c))
a
(* b 1/4)
(fma.f64 b #s(literal 1/4 binary64) #s(literal 0 binary64))
b
1/4
#s(literal 1/4 binary64)
(neg c)
(-.f64 #s(literal 0 binary64) c)
c
c
(+ (+ (* x y) 0) c)
(fma.f64 x y c)
(+ (* x y) 0)
(fma.f64 x y #s(literal 0 binary64))
x
y
0
#s(literal 0 binary64)
c
(+ (* 1/16 (* t z)) 0)
(fma.f64 t (fma.f64 #s(literal 1/16 binary64) z #s(literal 0 binary64)) #s(literal 0 binary64))
1/16
#s(literal 1/16 binary64)
(* t z)
(fma.f64 t z #s(literal 0 binary64))
t
z
0
#s(literal 0 binary64)
(+ (+ (* 1/16 (* t z)) 0) c)
(fma.f64 t (fma.f64 #s(literal 1/16 binary64) z #s(literal 0 binary64)) c)
(+ (* 1/16 (* t z)) 0)
(fma.f64 t (fma.f64 #s(literal 1/16 binary64) z #s(literal 0 binary64)) #s(literal 0 binary64))
1/16
#s(literal 1/16 binary64)
(* t z)
(fma.f64 t z #s(literal 0 binary64))
t
z
0
#s(literal 0 binary64)
c

localize91.0ms (0.7%)

Memory

-19.0MiB live, 121.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 t z)
✓	accuracy	100.0%	(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) c)
✓	accuracy	100.0%	(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 t z)
✓	accuracy	100.0%	(fma.f64 x y #s(literal 0 binary64))
✓	accuracy	100.0%	(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
✓	accuracy	100.0%	(neg.f64 c)
✓	accuracy	100.0%	(fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (neg.f64 c))
✓	accuracy	99.0%	(-.f64 (.f64 x y) (fma.f64 a (.f64 b #s(literal 1/4 binary64)) (neg.f64 c)))
✓	accuracy	98.4%	(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (-.f64 (.f64 x y) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (neg.f64 c))))

Samples

52.0ms

256×

valid

Compiler

Compiled 106 to 27 computations (74.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 13.0ms (50.2% of total)

ival-add: 8.0ms (30.9% of total)

ival-neg: 3.0ms (11.6% of total)

ival-sub: 1.0ms (3.9% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

-21.3MiB live, 16.6MiB allocated

Counts

10 → 348

Calls

Call 1

Inputs
#<alt (- (* x y) (+ (* a (* b 1/4)) (neg c)))>
#<alt (+ (* (* t 1/16) z) (- (* x y) (+ (* a (* b 1/4)) (neg c))))>
#<alt (+ (* a (* b 1/4)) (neg c))>
#<alt (* t 1/16)>
#<alt (+ (+ (* x y) 0) c)>
#<alt (+ (* x y) 0)>
#<alt (+ (* 1/16 (* t z)) 0)>
#<alt (* t z)>
#<alt (+ (+ (* 1/16 (* t z)) 0) c)>
#<alt (neg c)>

Outputs
#<alt (- c (* 1/4 (* a b)))>
#<alt (- (+ c (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ c (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ c (* x y)) (* 1/4 (* a b)))>
#<alt (* x y)>
#<alt (* x (- (+ y (/ c x)) (* 1/4 (/ (* a b) x))))>
#<alt (* x (- (+ y (/ c x)) (* 1/4 (/ (* a b) x))))>
#<alt (* x (- (+ y (/ c x)) (* 1/4 (/ (* a b) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- c (* 1/4 (* a b))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- c (* 1/4 (* a b))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- c (* 1/4 (* a b))) x)))))>
#<alt (- c (* 1/4 (* a b)))>
#<alt (- (+ c (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ c (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ c (* x y)) (* 1/4 (* a b)))>
#<alt (* x y)>
#<alt (* y (- (+ x (/ c y)) (* 1/4 (/ (* a b) y))))>
#<alt (* y (- (+ x (/ c y)) (* 1/4 (/ (* a b) y))))>
#<alt (* y (- (+ x (/ c y)) (* 1/4 (/ (* a b) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- c (* 1/4 (* a b))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- c (* 1/4 (* a b))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- c (* 1/4 (* a b))) y)))))>
#<alt (+ c (* x y))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (* -1/4 (* a b))>
#<alt (* a (- (+ (/ c a) (/ (* x y) a)) (* 1/4 b)))>
#<alt (* a (- (+ (/ c a) (/ (* x y) a)) (* 1/4 b)))>
#<alt (* a (- (+ (/ c a) (/ (* x y) a)) (* 1/4 b)))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* a (- (* -1 (/ (+ c (* x y)) a)) (* -1/4 b))))>
#<alt (* -1 (* a (- (* -1 (/ (+ c (* x y)) a)) (* -1/4 b))))>
#<alt (* -1 (* a (- (* -1 (/ (+ c (* x y)) a)) (* -1/4 b))))>
#<alt (+ c (* x y))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (* -1/4 (* a b))>
#<alt (* b (- (+ (/ c b) (/ (* x y) b)) (* 1/4 a)))>
#<alt (* b (- (+ (/ c b) (/ (* x y) b)) (* 1/4 a)))>
#<alt (* b (- (+ (/ c b) (/ (* x y) b)) (* 1/4 a)))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* b (- (* -1 (/ (+ c (* x y)) b)) (* -1/4 a))))>
#<alt (* -1 (* b (- (* -1 (/ (+ c (* x y)) b)) (* -1/4 a))))>
#<alt (* -1 (* b (- (* -1 (/ (+ c (* x y)) b)) (* -1/4 a))))>
#<alt (- (* x y) (* 1/4 (* a b)))>
#<alt (- (+ c (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ c (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ c (* x y)) (* 1/4 (* a b)))>
#<alt c>
#<alt (* c (- (+ 1 (/ (* x y) c)) (* 1/4 (/ (* a b) c))))>
#<alt (* c (- (+ 1 (/ (* x y) c)) (* 1/4 (/ (* a b) c))))>
#<alt (* c (- (+ 1 (/ (* x y) c)) (* 1/4 (/ (* a b) c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (- (* x y) (* 1/4 (* a b))) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (- (* x y) (* 1/4 (* a b))) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (- (* x y) (* 1/4 (* a b))) c)) 1)))>
#<alt (- (+ c (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (* 1/16 (* t z))>
#<alt (* t (- (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))) (* 1/4 (/ (* a b) t))))>
#<alt (* t (- (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))) (* 1/4 (/ (* a b) t))))>
#<alt (* t (- (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))) (* 1/4 (/ (* a b) t))))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* t (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) t)) (* -1/16 z))))>
#<alt (- (+ c (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (* 1/16 (* t z))>
#<alt (* z (- (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))) (* 1/4 (/ (* a b) z))))>
#<alt (* z (- (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))) (* 1/4 (/ (* a b) z))))>
#<alt (* z (- (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))) (* 1/4 (/ (* a b) z))))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))>
#<alt (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (* x y)>
#<alt (* x (- (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))) (* 1/4 (/ (* a b) x))))>
#<alt (* x (- (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))) (* 1/4 (/ (* a b) x))))>
#<alt (* x (- (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))) (* 1/4 (/ (* a b) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) x)))))>
#<alt (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (* x y)>
#<alt (* y (- (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))) (* 1/4 (/ (* a b) y))))>
#<alt (* y (- (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))) (* 1/4 (/ (* a b) y))))>
#<alt (* y (- (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))) (* 1/4 (/ (* a b) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) y)))))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (* -1/4 (* a b))>
#<alt (* a (- (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a))) (* 1/4 b)))>
#<alt (* a (- (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a))) (* 1/4 b)))>
#<alt (* a (- (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a))) (* 1/4 b)))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* a (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* -1/4 b))))>
#<alt (* -1 (* a (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* -1/4 b))))>
#<alt (* -1 (* a (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* -1/4 b))))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (* -1/4 (* a b))>
#<alt (* b (- (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b))) (* 1/4 a)))>
#<alt (* b (- (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b))) (* 1/4 a)))>
#<alt (* b (- (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b))) (* 1/4 a)))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* b (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* -1/4 a))))>
#<alt (* -1 (* b (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* -1/4 a))))>
#<alt (* -1 (* b (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* -1/4 a))))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt c>
#<alt (* c (- (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))) (* 1/4 (/ (* a b) c))))>
#<alt (* c (- (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))) (* 1/4 (/ (* a b) c))))>
#<alt (* c (- (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))) (* 1/4 (/ (* a b) c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b))) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b))) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b))) c)) 1)))>
#<alt (* -1 c)>
#<alt (- (* 1/4 (* a b)) c)>
#<alt (- (* 1/4 (* a b)) c)>
#<alt (- (* 1/4 (* a b)) c)>
#<alt (* 1/4 (* a b))>
#<alt (* a (+ (* -1 (/ c a)) (* 1/4 b)))>
#<alt (* a (+ (* -1 (/ c a)) (* 1/4 b)))>
#<alt (* a (+ (* -1 (/ c a)) (* 1/4 b)))>
#<alt (* 1/4 (* a b))>
#<alt (* -1 (* a (+ (* -1/4 b) (/ c a))))>
#<alt (* -1 (* a (+ (* -1/4 b) (/ c a))))>
#<alt (* -1 (* a (+ (* -1/4 b) (/ c a))))>
#<alt (* -1 c)>
#<alt (- (* 1/4 (* a b)) c)>
#<alt (- (* 1/4 (* a b)) c)>
#<alt (- (* 1/4 (* a b)) c)>
#<alt (* 1/4 (* a b))>
#<alt (* b (+ (* -1 (/ c b)) (* 1/4 a)))>
#<alt (* b (+ (* -1 (/ c b)) (* 1/4 a)))>
#<alt (* b (+ (* -1 (/ c b)) (* 1/4 a)))>
#<alt (* 1/4 (* a b))>
#<alt (* -1 (* b (+ (* -1/4 a) (/ c b))))>
#<alt (* -1 (* b (+ (* -1/4 a) (/ c b))))>
#<alt (* -1 (* b (+ (* -1/4 a) (/ c b))))>
#<alt (* 1/4 (* a b))>
#<alt (+ (* -1 c) (* 1/4 (* a b)))>
#<alt (+ (* -1 c) (* 1/4 (* a b)))>
#<alt (+ (* -1 c) (* 1/4 (* a b)))>
#<alt (* -1 c)>
#<alt (* c (- (* 1/4 (/ (* a b) c)) 1))>
#<alt (* c (- (* 1/4 (/ (* a b) c)) 1))>
#<alt (* c (- (* 1/4 (/ (* a b) c)) 1))>
#<alt (* -1 c)>
#<alt (* -1 (* c (+ 1 (* -1/4 (/ (* a b) c)))))>
#<alt (* -1 (* c (+ 1 (* -1/4 (/ (* a b) c)))))>
#<alt (* -1 (* c (+ 1 (* -1/4 (/ (* a b) c)))))>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt c>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ c x)))>
#<alt (* x (+ y (/ c x)))>
#<alt (* x (+ y (/ c x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))>
#<alt c>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ c y)))>
#<alt (* y (+ x (/ c y)))>
#<alt (* y (+ x (/ c y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))>
#<alt (* x y)>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt c>
#<alt (* c (+ 1 (/ (* x y) c)))>
#<alt (* c (+ 1 (/ (* x y) c)))>
#<alt (* c (+ 1 (/ (* x y) c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (* x y) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (* x y) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (* x y) c)) 1)))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt c>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (* 1/16 (* t z))>
#<alt (* t (+ (* 1/16 z) (/ c t)))>
#<alt (* t (+ (* 1/16 z) (/ c t)))>
#<alt (* t (+ (* 1/16 z) (/ c t)))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))>
#<alt c>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (* 1/16 (* t z))>
#<alt (* z (+ (* 1/16 t) (/ c z)))>
#<alt (* z (+ (* 1/16 t) (/ c z)))>
#<alt (* z (+ (* 1/16 t) (/ c z)))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))>
#<alt (* 1/16 (* t z))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt c>
#<alt (* c (+ 1 (* 1/16 (/ (* t z) c))))>
#<alt (* c (+ 1 (* 1/16 (/ (* t z) c))))>
#<alt (* c (+ 1 (* 1/16 (/ (* t z) c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))>
#<alt (* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))>
#<alt (* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>

Calls

87 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	(- (* x y) (+ (* a (* b 1/4)) (neg c)))
0.0ms	t	@	-inf	(* t 1/16)
0.0ms	t	@	inf	(* t 1/16)
0.0ms	t	@	-inf	(* t z)
0.0ms	t	@	-inf	(+ (* 1/16 (* t z)) 0)

rewrite1.0s (8.2%)

Memory

11.0MiB live, 1 318.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

22 472×	`accelerator-lowering-fma.f32`
22 472×	`accelerator-lowering-fma.f64`
5 372×	`/-lowering-/.f32`
5 372×	`/-lowering-/.f64`
4 632×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	63
1	152	63
2	1533	63
0	8437	60

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 1 928

Calls

Call 1

Inputs
(- (* x y) (+ (* a (* b 1/4)) (neg c)))
(+ (* (* t 1/16) z) (- (* x y) (+ (* a (* b 1/4)) (neg c))))
(+ (* a (* b 1/4)) (neg c))
(* t 1/16)
(+ (+ (* x y) 0) c)
(+ (* x y) 0)
(+ (* 1/16 (* t z)) 0)
(* t z)
(+ (+ (* 1/16 (* t z)) 0) c)
(neg c)

Outputs
(+.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) #s(literal 0 binary64)) c)))
(+.f64 (fma.f64 x y #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) #s(literal 0 binary64)) c))))
(+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) #s(literal 0 binary64)) c)))
(+.f64 (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) #s(literal 0 binary64)) c)) (fma.f64 x y #s(literal 0 binary64)))
(+.f64 (-.f64 (fma.f64 x y #s(literal 0 binary64)) (.f64 a (.f64 b #s(literal 1/4 binary64)))) c)
(+.f64 (-.f64 (fma.f64 x y #s(literal 0 binary64)) (.f64 a (.f64 b #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) c)))
(+.f64 (-.f64 (fma.f64 x y #s(literal 0 binary64)) (.f64 a (.f64 b #s(literal 1/4 binary64)))) (*.f64 #s(literal 1 binary64) c))
(+.f64 (-.f64 (-.f64 (fma.f64 x y #s(literal 0 binary64)) (.f64 a (.f64 b #s(literal 1/4 binary64)))) #s(literal 0 binary64)) c)
(-.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) #s(literal 0 binary64)) c))
(-.f64 (-.f64 (fma.f64 x y #s(literal 0 binary64)) (.f64 a (.f64 b #s(literal 1/4 binary64)))) (-.f64 #s(literal 0 binary64) c))
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(/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 c c))))
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(*.f64 c #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) c)
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(.f64 (-.f64 #s(literal 0 binary64) (.f64 c c)) (/.f64 #s(literal 1 binary64) c))

simplify647.0ms (5.2%)

Memory

23.4MiB live, 811.5MiB allocated

Algorithm

1×	egg-herbie

Rules

16 728×	`accelerator-lowering-fma.f32`
16 728×	`accelerator-lowering-fma.f64`
5 610×	`-lowering-.f32`
5 610×	`-lowering-.f64`
3 016×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	229	3173
1	775	3131
2	2431	3089
3	7484	3089
0	8329	2773

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
(- c (* 1/4 (* a b)))
(- (+ c (* x y)) (* 1/4 (* a b)))
(- (+ c (* x y)) (* 1/4 (* a b)))
(- (+ c (* x y)) (* 1/4 (* a b)))
(* x y)
(* x (- (+ y (/ c x)) (* 1/4 (/ (* a b) x))))
(* x (- (+ y (/ c x)) (* 1/4 (/ (* a b) x))))
(* x (- (+ y (/ c x)) (* 1/4 (/ (* a b) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- c (* 1/4 (* a b))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- c (* 1/4 (* a b))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- c (* 1/4 (* a b))) x)))))
(- c (* 1/4 (* a b)))
(- (+ c (* x y)) (* 1/4 (* a b)))
(- (+ c (* x y)) (* 1/4 (* a b)))
(- (+ c (* x y)) (* 1/4 (* a b)))
(* x y)
(* y (- (+ x (/ c y)) (* 1/4 (/ (* a b) y))))
(* y (- (+ x (/ c y)) (* 1/4 (/ (* a b) y))))
(* y (- (+ x (/ c y)) (* 1/4 (/ (* a b) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- c (* 1/4 (* a b))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- c (* 1/4 (* a b))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- c (* 1/4 (* a b))) y)))))
(+ c (* x y))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(* -1/4 (* a b))
(* a (- (+ (/ c a) (/ (* x y) a)) (* 1/4 b)))
(* a (- (+ (/ c a) (/ (* x y) a)) (* 1/4 b)))
(* a (- (+ (/ c a) (/ (* x y) a)) (* 1/4 b)))
(* -1/4 (* a b))
(* -1 (* a (- (* -1 (/ (+ c (* x y)) a)) (* -1/4 b))))
(* -1 (* a (- (* -1 (/ (+ c (* x y)) a)) (* -1/4 b))))
(* -1 (* a (- (* -1 (/ (+ c (* x y)) a)) (* -1/4 b))))
(+ c (* x y))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(* -1/4 (* a b))
(* b (- (+ (/ c b) (/ (* x y) b)) (* 1/4 a)))
(* b (- (+ (/ c b) (/ (* x y) b)) (* 1/4 a)))
(* b (- (+ (/ c b) (/ (* x y) b)) (* 1/4 a)))
(* -1/4 (* a b))
(* -1 (* b (- (* -1 (/ (+ c (* x y)) b)) (* -1/4 a))))
(* -1 (* b (- (* -1 (/ (+ c (* x y)) b)) (* -1/4 a))))
(* -1 (* b (- (* -1 (/ (+ c (* x y)) b)) (* -1/4 a))))
(- (* x y) (* 1/4 (* a b)))
(- (+ c (* x y)) (* 1/4 (* a b)))
(- (+ c (* x y)) (* 1/4 (* a b)))
(- (+ c (* x y)) (* 1/4 (* a b)))
c
(* c (- (+ 1 (/ (* x y) c)) (* 1/4 (/ (* a b) c))))
(* c (- (+ 1 (/ (* x y) c)) (* 1/4 (/ (* a b) c))))
(* c (- (+ 1 (/ (* x y) c)) (* 1/4 (/ (* a b) c))))
c
(* -1 (* c (- (* -1 (/ (- (* x y) (* 1/4 (* a b))) c)) 1)))
(* -1 (* c (- (* -1 (/ (- (* x y) (* 1/4 (* a b))) c)) 1)))
(* -1 (* c (- (* -1 (/ (- (* x y) (* 1/4 (* a b))) c)) 1)))
(- (+ c (* x y)) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(* 1/16 (* t z))
(* t (- (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))) (* 1/4 (/ (* a b) t))))
(* t (- (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))) (* 1/4 (/ (* a b) t))))
(* t (- (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))) (* 1/4 (/ (* a b) t))))
(* 1/16 (* t z))
(* -1 (* t (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) t)) (* -1/16 z))))
(- (+ c (* x y)) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(* 1/16 (* t z))
(* z (- (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))) (* 1/4 (/ (* a b) z))))
(* z (- (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))) (* 1/4 (/ (* a b) z))))
(* z (- (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))) (* 1/4 (/ (* a b) z))))
(* 1/16 (* t z))
(* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))
(- (+ c (* 1/16 (* t z))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(* x y)
(* x (- (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))) (* 1/4 (/ (* a b) x))))
(* x (- (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))) (* 1/4 (/ (* a b) x))))
(* x (- (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))) (* 1/4 (/ (* a b) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) x)))))
(- (+ c (* 1/16 (* t z))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(* x y)
(* y (- (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))) (* 1/4 (/ (* a b) y))))
(* y (- (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))) (* 1/4 (/ (* a b) y))))
(* y (- (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))) (* 1/4 (/ (* a b) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) y)))))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(* -1/4 (* a b))
(* a (- (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a))) (* 1/4 b)))
(* a (- (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a))) (* 1/4 b)))
(* a (- (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a))) (* 1/4 b)))
(* -1/4 (* a b))
(* -1 (* a (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* -1/4 b))))
(* -1 (* a (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* -1/4 b))))
(* -1 (* a (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* -1/4 b))))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(* -1/4 (* a b))
(* b (- (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b))) (* 1/4 a)))
(* b (- (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b))) (* 1/4 a)))
(* b (- (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b))) (* 1/4 a)))
(* -1/4 (* a b))
(* -1 (* b (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* -1/4 a))))
(* -1 (* b (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* -1/4 a))))
(* -1 (* b (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* -1/4 a))))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
c
(* c (- (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))) (* 1/4 (/ (* a b) c))))
(* c (- (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))) (* 1/4 (/ (* a b) c))))
(* c (- (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))) (* 1/4 (/ (* a b) c))))
c
(* -1 (* c (- (* -1 (/ (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b))) c)) 1)))
(* -1 (* c (- (* -1 (/ (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b))) c)) 1)))
(* -1 (* c (- (* -1 (/ (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b))) c)) 1)))
(* -1 c)
(- (* 1/4 (* a b)) c)
(- (* 1/4 (* a b)) c)
(- (* 1/4 (* a b)) c)
(* 1/4 (* a b))
(* a (+ (* -1 (/ c a)) (* 1/4 b)))
(* a (+ (* -1 (/ c a)) (* 1/4 b)))
(* a (+ (* -1 (/ c a)) (* 1/4 b)))
(* 1/4 (* a b))
(* -1 (* a (+ (* -1/4 b) (/ c a))))
(* -1 (* a (+ (* -1/4 b) (/ c a))))
(* -1 (* a (+ (* -1/4 b) (/ c a))))
(* -1 c)
(- (* 1/4 (* a b)) c)
(- (* 1/4 (* a b)) c)
(- (* 1/4 (* a b)) c)
(* 1/4 (* a b))
(* b (+ (* -1 (/ c b)) (* 1/4 a)))
(* b (+ (* -1 (/ c b)) (* 1/4 a)))
(* b (+ (* -1 (/ c b)) (* 1/4 a)))
(* 1/4 (* a b))
(* -1 (* b (+ (* -1/4 a) (/ c b))))
(* -1 (* b (+ (* -1/4 a) (/ c b))))
(* -1 (* b (+ (* -1/4 a) (/ c b))))
(* 1/4 (* a b))
(+ (* -1 c) (* 1/4 (* a b)))
(+ (* -1 c) (* 1/4 (* a b)))
(+ (* -1 c) (* 1/4 (* a b)))
(* -1 c)
(* c (- (* 1/4 (/ (* a b) c)) 1))
(* c (- (* 1/4 (/ (* a b) c)) 1))
(* c (- (* 1/4 (/ (* a b) c)) 1))
(* -1 c)
(* -1 (* c (+ 1 (* -1/4 (/ (* a b) c)))))
(* -1 (* c (+ 1 (* -1/4 (/ (* a b) c)))))
(* -1 (* c (+ 1 (* -1/4 (/ (* a b) c)))))
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
c
(+ c (* x y))
(+ c (* x y))
(+ c (* x y))
(* x y)
(* x (+ y (/ c x)))
(* x (+ y (/ c x)))
(* x (+ y (/ c x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
c
(+ c (* x y))
(+ c (* x y))
(+ c (* x y))
(* x y)
(* y (+ x (/ c y)))
(* y (+ x (/ c y)))
(* y (+ x (/ c y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(* x y)
(+ c (* x y))
(+ c (* x y))
(+ c (* x y))
c
(* c (+ 1 (/ (* x y) c)))
(* c (+ 1 (/ (* x y) c)))
(* c (+ 1 (/ (* x y) c)))
c
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
c
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
(* 1/16 (* t z))
(* t (+ (* 1/16 z) (/ c t)))
(* t (+ (* 1/16 z) (/ c t)))
(* t (+ (* 1/16 z) (/ c t)))
(* 1/16 (* t z))
(* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))
c
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
(* 1/16 (* t z))
(* z (+ (* 1/16 t) (/ c z)))
(* z (+ (* 1/16 t) (/ c z)))
(* z (+ (* 1/16 t) (/ c z)))
(* 1/16 (* t z))
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(* 1/16 (* t z))
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
c
(* c (+ 1 (* 1/16 (/ (* t z) c))))
(* c (+ 1 (* 1/16 (/ (* t z) c))))
(* c (+ 1 (* 1/16 (/ (* t z) c))))
c
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)

Outputs
(- c (* 1/4 (* a b)))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(- (+ c (* x y)) (* 1/4 (* a b)))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
(- (+ c (* x y)) (* 1/4 (* a b)))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
(- (+ c (* x y)) (* 1/4 (* a b)))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
(* x y)
(*.f64 x y)
(* x (- (+ y (/ c x)) (* 1/4 (/ (* a b) x))))
(.f64 x (+.f64 y (/.f64 (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c) x)))
(* x (- (+ y (/ c x)) (* 1/4 (/ (* a b) x))))
(.f64 x (+.f64 y (/.f64 (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c) x)))
(* x (- (+ y (/ c x)) (* 1/4 (/ (* a b) x))))
(.f64 x (+.f64 y (/.f64 (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c) x)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- c (* 1/4 (* a b))) x)))))
(.f64 x (+.f64 y (/.f64 (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- c (* 1/4 (* a b))) x)))))
(.f64 x (+.f64 y (/.f64 (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- c (* 1/4 (* a b))) x)))))
(.f64 x (+.f64 y (/.f64 (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c) x)))
(- c (* 1/4 (* a b)))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(- (+ c (* x y)) (* 1/4 (* a b)))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
(- (+ c (* x y)) (* 1/4 (* a b)))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
(- (+ c (* x y)) (* 1/4 (* a b)))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
(* x y)
(*.f64 x y)
(* y (- (+ x (/ c y)) (* 1/4 (/ (* a b) y))))
(.f64 y (+.f64 x (/.f64 (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c) y)))
(* y (- (+ x (/ c y)) (* 1/4 (/ (* a b) y))))
(.f64 y (+.f64 x (/.f64 (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c) y)))
(* y (- (+ x (/ c y)) (* 1/4 (/ (* a b) y))))
(.f64 y (+.f64 x (/.f64 (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c) y)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- c (* 1/4 (* a b))) y)))))
(.f64 y (+.f64 x (/.f64 (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- c (* 1/4 (* a b))) y)))))
(.f64 y (+.f64 x (/.f64 (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- c (* 1/4 (* a b))) y)))))
(.f64 y (+.f64 x (/.f64 (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c) y)))
(+ c (* x y))
(fma.f64 x y c)
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
(* -1/4 (* a b))
(.f64 a (.f64 b #s(literal -1/4 binary64)))
(* a (- (+ (/ c a) (/ (* x y) a)) (* 1/4 b)))
(*.f64 a (fma.f64 x (/.f64 y a) (fma.f64 b #s(literal -1/4 binary64) (/.f64 c a))))
(* a (- (+ (/ c a) (/ (* x y) a)) (* 1/4 b)))
(*.f64 a (fma.f64 x (/.f64 y a) (fma.f64 b #s(literal -1/4 binary64) (/.f64 c a))))
(* a (- (+ (/ c a) (/ (* x y) a)) (* 1/4 b)))
(*.f64 a (fma.f64 x (/.f64 y a) (fma.f64 b #s(literal -1/4 binary64) (/.f64 c a))))
(* -1/4 (* a b))
(.f64 a (.f64 b #s(literal -1/4 binary64)))
(* -1 (* a (- (* -1 (/ (+ c (* x y)) a)) (* -1/4 b))))
(*.f64 a (fma.f64 b #s(literal -1/4 binary64) (/.f64 (fma.f64 x y c) a)))
(* -1 (* a (- (* -1 (/ (+ c (* x y)) a)) (* -1/4 b))))
(*.f64 a (fma.f64 b #s(literal -1/4 binary64) (/.f64 (fma.f64 x y c) a)))
(* -1 (* a (- (* -1 (/ (+ c (* x y)) a)) (* -1/4 b))))
(*.f64 a (fma.f64 b #s(literal -1/4 binary64) (/.f64 (fma.f64 x y c) a)))
(+ c (* x y))
(fma.f64 x y c)
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
(* -1/4 (* a b))
(.f64 a (.f64 b #s(literal -1/4 binary64)))
(* b (- (+ (/ c b) (/ (* x y) b)) (* 1/4 a)))
(*.f64 b (fma.f64 x (/.f64 y b) (fma.f64 a #s(literal -1/4 binary64) (/.f64 c b))))
(* b (- (+ (/ c b) (/ (* x y) b)) (* 1/4 a)))
(*.f64 b (fma.f64 x (/.f64 y b) (fma.f64 a #s(literal -1/4 binary64) (/.f64 c b))))
(* b (- (+ (/ c b) (/ (* x y) b)) (* 1/4 a)))
(*.f64 b (fma.f64 x (/.f64 y b) (fma.f64 a #s(literal -1/4 binary64) (/.f64 c b))))
(* -1/4 (* a b))
(.f64 a (.f64 b #s(literal -1/4 binary64)))
(* -1 (* b (- (* -1 (/ (+ c (* x y)) b)) (* -1/4 a))))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) (/.f64 (fma.f64 x y c) b)))
(* -1 (* b (- (* -1 (/ (+ c (* x y)) b)) (* -1/4 a))))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) (/.f64 (fma.f64 x y c) b)))
(* -1 (* b (- (* -1 (/ (+ c (* x y)) b)) (* -1/4 a))))
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(*.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 b #s(literal -1/4 binary64) (/.f64 c a))))
(* -1 (* a (+ (* -1/4 b) (/ c a))))
(*.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 b #s(literal -1/4 binary64) (/.f64 c a))))
(* -1 c)
(-.f64 #s(literal 0 binary64) c)
(- (* 1/4 (* a b)) c)
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a b)) c)
(- (* 1/4 (* a b)) c)
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a b)) c)
(- (* 1/4 (* a b)) c)
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a b)) c)
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* b (+ (* -1 (/ c b)) (* 1/4 a)))
(.f64 b (-.f64 (.f64 #s(literal 1/4 binary64) a) (/.f64 c b)))
(* b (+ (* -1 (/ c b)) (* 1/4 a)))
(.f64 b (-.f64 (.f64 #s(literal 1/4 binary64) a) (/.f64 c b)))
(* b (+ (* -1 (/ c b)) (* 1/4 a)))
(.f64 b (-.f64 (.f64 #s(literal 1/4 binary64) a) (/.f64 c b)))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(* -1 (* b (+ (* -1/4 a) (/ c b))))
(.f64 b (-.f64 (.f64 #s(literal 1/4 binary64) a) (/.f64 c b)))
(* -1 (* b (+ (* -1/4 a) (/ c b))))
(.f64 b (-.f64 (.f64 #s(literal 1/4 binary64) a) (/.f64 c b)))
(* -1 (* b (+ (* -1/4 a) (/ c b))))
(.f64 b (-.f64 (.f64 #s(literal 1/4 binary64) a) (/.f64 c b)))
(* 1/4 (* a b))
(.f64 #s(literal 1/4 binary64) (.f64 a b))
(+ (* -1 c) (* 1/4 (* a b)))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a b)) c)
(+ (* -1 c) (* 1/4 (* a b)))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a b)) c)
(+ (* -1 c) (* 1/4 (* a b)))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a b)) c)
(* -1 c)
(-.f64 #s(literal 0 binary64) c)
(* c (- (* 1/4 (/ (* a b) c)) 1))
(.f64 c (fma.f64 (.f64 a b) (/.f64 #s(literal 1/4 binary64) c) #s(literal -1 binary64)))
(* c (- (* 1/4 (/ (* a b) c)) 1))
(.f64 c (fma.f64 (.f64 a b) (/.f64 #s(literal 1/4 binary64) c) #s(literal -1 binary64)))
(* c (- (* 1/4 (/ (* a b) c)) 1))
(.f64 c (fma.f64 (.f64 a b) (/.f64 #s(literal 1/4 binary64) c) #s(literal -1 binary64)))
(* -1 c)
(-.f64 #s(literal 0 binary64) c)
(* -1 (* c (+ 1 (* -1/4 (/ (* a b) c)))))
(.f64 c (fma.f64 (.f64 a b) (/.f64 #s(literal 1/4 binary64) c) #s(literal -1 binary64)))
(* -1 (* c (+ 1 (* -1/4 (/ (* a b) c)))))
(.f64 c (fma.f64 (.f64 a b) (/.f64 #s(literal 1/4 binary64) c) #s(literal -1 binary64)))
(* -1 (* c (+ 1 (* -1/4 (/ (* a b) c)))))
(.f64 c (fma.f64 (.f64 a b) (/.f64 #s(literal 1/4 binary64) c) #s(literal -1 binary64)))
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
c
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
(* x y)
(*.f64 x y)
(* x (+ y (/ c x)))
(*.f64 x (+.f64 y (/.f64 c x)))
(* x (+ y (/ c x)))
(*.f64 x (+.f64 y (/.f64 c x)))
(* x (+ y (/ c x)))
(*.f64 x (+.f64 y (/.f64 c x)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(*.f64 x (+.f64 y (/.f64 c x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(*.f64 x (+.f64 y (/.f64 c x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(*.f64 x (+.f64 y (/.f64 c x)))
c
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
(* x y)
(*.f64 x y)
(* y (+ x (/ c y)))
(*.f64 y (+.f64 x (/.f64 c y)))
(* y (+ x (/ c y)))
(*.f64 y (+.f64 x (/.f64 c y)))
(* y (+ x (/ c y)))
(*.f64 y (+.f64 x (/.f64 c y)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(*.f64 y (+.f64 x (/.f64 c y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(*.f64 y (+.f64 x (/.f64 c y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(*.f64 y (+.f64 x (/.f64 c y)))
(* x y)
(*.f64 x y)
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
c
(* c (+ 1 (/ (* x y) c)))
(*.f64 c (fma.f64 x (/.f64 y c) #s(literal 1 binary64)))
(* c (+ 1 (/ (* x y) c)))
(*.f64 c (fma.f64 x (/.f64 y c) #s(literal 1 binary64)))
(* c (+ 1 (/ (* x y) c)))
(*.f64 c (fma.f64 x (/.f64 y c) #s(literal 1 binary64)))
c
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(*.f64 c (fma.f64 x (/.f64 y c) #s(literal 1 binary64)))
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(*.f64 c (fma.f64 x (/.f64 y c) #s(literal 1 binary64)))
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(*.f64 c (fma.f64 x (/.f64 y c) #s(literal 1 binary64)))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
c
(+ c (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(+ c (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(+ c (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* t (+ (* 1/16 z) (/ c t)))
(*.f64 t (fma.f64 #s(literal 1/16 binary64) z (/.f64 c t)))
(* t (+ (* 1/16 z) (/ c t)))
(*.f64 t (fma.f64 #s(literal 1/16 binary64) z (/.f64 c t)))
(* t (+ (* 1/16 z) (/ c t)))
(*.f64 t (fma.f64 #s(literal 1/16 binary64) z (/.f64 c t)))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))
(*.f64 t (fma.f64 #s(literal 1/16 binary64) z (/.f64 c t)))
(* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))
(*.f64 t (fma.f64 #s(literal 1/16 binary64) z (/.f64 c t)))
(* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))
(*.f64 t (fma.f64 #s(literal 1/16 binary64) z (/.f64 c t)))
c
(+ c (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(+ c (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(+ c (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* z (+ (* 1/16 t) (/ c z)))
(*.f64 z (fma.f64 #s(literal 1/16 binary64) t (/.f64 c z)))
(* z (+ (* 1/16 t) (/ c z)))
(*.f64 z (fma.f64 #s(literal 1/16 binary64) t (/.f64 c z)))
(* z (+ (* 1/16 t) (/ c z)))
(*.f64 z (fma.f64 #s(literal 1/16 binary64) t (/.f64 c z)))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(*.f64 z (fma.f64 #s(literal 1/16 binary64) t (/.f64 c z)))
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(*.f64 z (fma.f64 #s(literal 1/16 binary64) t (/.f64 c z)))
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(*.f64 z (fma.f64 #s(literal 1/16 binary64) t (/.f64 c z)))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(+ c (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(+ c (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(+ c (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
c
(* c (+ 1 (* 1/16 (/ (* t z) c))))
(.f64 c (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 t z) c) #s(literal 1 binary64)))
(* c (+ 1 (* 1/16 (/ (* t z) c))))
(.f64 c (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 t z) c) #s(literal 1 binary64)))
(* c (+ 1 (* 1/16 (/ (* t z) c))))
(.f64 c (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 t z) c) #s(literal 1 binary64)))
c
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(.f64 c (-.f64 #s(literal 0 binary64) (fma.f64 t (/.f64 (.f64 z #s(literal -1/16 binary64)) c) #s(literal -1 binary64))))
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(.f64 c (-.f64 #s(literal 0 binary64) (fma.f64 t (/.f64 (.f64 z #s(literal -1/16 binary64)) c) #s(literal -1 binary64))))
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(.f64 c (-.f64 #s(literal 0 binary64) (fma.f64 t (/.f64 (.f64 z #s(literal -1/16 binary64)) c) #s(literal -1 binary64))))
(* -1 c)
(-.f64 #s(literal 0 binary64) c)
(* -1 c)
(-.f64 #s(literal 0 binary64) c)
(* -1 c)
(-.f64 #s(literal 0 binary64) c)
(* -1 c)
(-.f64 #s(literal 0 binary64) c)
(* -1 c)
(-.f64 #s(literal 0 binary64) c)
(* -1 c)
(-.f64 #s(literal 0 binary64) c)
(* -1 c)
(-.f64 #s(literal 0 binary64) c)
(* -1 c)
(-.f64 #s(literal 0 binary64) c)
(* -1 c)
(-.f64 #s(literal 0 binary64) c)
(* -1 c)
(-.f64 #s(literal 0 binary64) c)
(* -1 c)
(-.f64 #s(literal 0 binary64) c)
(* -1 c)
(-.f64 #s(literal 0 binary64) c)

eval432.0ms (3.5%)

Memory: 22.4MiB live, 761.2MiB allocated
Compiler: Compiled 83 996 to 4 343 computations (94.8% saved)

prune1.0s (8.2%)

Memory

-0.4MiB live, 1 013.5MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	2 882	6	2 888
Fresh	3	3	6
Picked	4	1	5
Done	0	0	0
Total	2 889	10	2 899

Accuracy

100.0%

Counts

2 899 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.2%	(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 x y))
	50.3%	(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 a (*.f64 b #s(literal -1/4 binary64))))
▶	46.6%	(fma.f64 (*.f64 t #s(literal 1/16 binary64)) z c)
	52.0%	(fma.f64 y x c)
▶	74.7%	(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
	44.9%	(+.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) c)
	27.4%	(.f64 (.f64 t z) #s(literal 1/16 binary64))
▶	32.4%	(*.f64 x y)
▶	25.8%	(.f64 a (.f64 b #s(literal -1/4 binary64)))
✓	21.4%	c

Compiler

Compiled 248 to 191 computations (23% saved)

simplify7.0ms (0.1%)

Memory

-25.4MiB live, 14.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(*.f64 t #s(literal 1/16 binary64))
✓	cost-diff	(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 x y))
✓	cost-diff	(*.f64 t #s(literal 1/16 binary64))
✓	cost-diff	(fma.f64 (*.f64 t #s(literal 1/16 binary64)) z c)
✓	cost-diff	(*.f64 b #s(literal -1/4 binary64))
✓	cost-diff	(.f64 a (.f64 b #s(literal -1/4 binary64)))
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(fma.f64 x y c)
✓	cost-diff	(*.f64 b #s(literal -1/4 binary64))
✓	cost-diff	(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))

Rules

76×	`accelerator-lowering-fma.f32`
76×	`accelerator-lowering-fma.f64`
52×	`-lowering-.f32`
52×	`-lowering-.f64`
32×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
1	33	75
2	54	75
3	60	75
0	60	70

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* a (* b -1/4)) (+ (* x y) c))
a
(* b -1/4)
b
-1/4
(+ (* x y) c)
x
y
c
(* x y)
x
y
(* a (* b -1/4))
a
(* b -1/4)
b
-1/4
(+ (* (* t 1/16) z) c)
(* t 1/16)
t
1/16
z
c
(+ (* (* t 1/16) z) (* x y))
(* t 1/16)
t
1/16
z
(* x y)
x
y

Outputs
(+ (* a (* b -1/4)) (+ (* x y) c))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
a
(* b -1/4)
(*.f64 b #s(literal -1/4 binary64))
b
-1/4
#s(literal -1/4 binary64)
(+ (* x y) c)
(fma.f64 x y c)
x
y
c
(* x y)
(*.f64 x y)
x
y
(* a (* b -1/4))
(.f64 a (.f64 b #s(literal -1/4 binary64)))
a
(* b -1/4)
(*.f64 b #s(literal -1/4 binary64))
b
-1/4
#s(literal -1/4 binary64)
(+ (* (* t 1/16) z) c)
(fma.f64 t (*.f64 #s(literal 1/16 binary64) z) c)
(* t 1/16)
(*.f64 t #s(literal 1/16 binary64))
t
1/16
#s(literal 1/16 binary64)
z
c
(+ (* (* t 1/16) z) (* x y))
(fma.f64 x y (.f64 t (.f64 #s(literal 1/16 binary64) z)))
(* t 1/16)
(*.f64 t #s(literal 1/16 binary64))
t
1/16
#s(literal 1/16 binary64)
z
(* x y)
(*.f64 x y)
x
y

localize55.0ms (0.4%)

Memory

33.1MiB live, 149.7MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 t #s(literal 1/16 binary64))
✓	accuracy	99.2%	(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 x y))
✓	accuracy	100.0%	(fma.f64 (*.f64 t #s(literal 1/16 binary64)) z c)
✓	accuracy	100.0%	(*.f64 t #s(literal 1/16 binary64))
✓	accuracy	100.0%	(*.f64 b #s(literal -1/4 binary64))
✓	accuracy	100.0%	(.f64 a (.f64 b #s(literal -1/4 binary64)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(fma.f64 x y c)
✓	accuracy	100.0%	(*.f64 b #s(literal -1/4 binary64))
✓	accuracy	99.6%	(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))

Samples

35.0ms

256×

valid

Compiler

Compiled 72 to 20 computations (72.2% saved)

Precisions

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

ival-mult: 8.0ms (63.6% of total)

ival-add: 4.0ms (31.8% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-16.0MiB live, 22.0MiB allocated

Counts

8 → 252

Calls

Call 1

Inputs
#<alt (+ (* a (* b -1/4)) (+ (* x y) c))>
#<alt (* b -1/4)>
#<alt (+ (* x y) c)>
#<alt (* x y)>
#<alt (* a (* b -1/4))>
#<alt (+ (* (* t 1/16) z) c)>
#<alt (* t 1/16)>
#<alt (+ (* (* t 1/16) z) (* x y))>

Outputs
#<alt (+ c (* x y))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (* -1/4 (* a b))>
#<alt (* a (+ (* -1/4 b) (+ (/ c a) (/ (* x y) a))))>
#<alt (* a (+ (* -1/4 b) (+ (/ c a) (/ (* x y) a))))>
#<alt (* a (+ (* -1/4 b) (+ (/ c a) (/ (* x y) a))))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* a (+ (* -1 (/ (+ c (* x y)) a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ c (* x y)) a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ c (* x y)) a)) (* 1/4 b))))>
#<alt (+ c (* x y))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (* -1/4 (* a b))>
#<alt (* b (+ (* -1/4 a) (+ (/ c b) (/ (* x y) b))))>
#<alt (* b (+ (* -1/4 a) (+ (/ c b) (/ (* x y) b))))>
#<alt (* b (+ (* -1/4 a) (+ (/ c b) (/ (* x y) b))))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* b (+ (* -1 (/ (+ c (* x y)) b)) (* 1/4 a))))>
#<alt (* -1 (* b (+ (* -1 (/ (+ c (* x y)) b)) (* 1/4 a))))>
#<alt (* -1 (* b (+ (* -1 (/ (+ c (* x y)) b)) (* 1/4 a))))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* -1/4 (/ (* a b) x)) (/ c x))))>
#<alt (* x (+ y (+ (* -1/4 (/ (* a b) x)) (/ c x))))>
#<alt (* x (+ y (+ (* -1/4 (/ (* a b) x)) (/ c x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (* -1/4 (* a b))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (* -1/4 (* a b))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (* -1/4 (* a b))) x)))))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* -1/4 (/ (* a b) y)) (/ c y))))>
#<alt (* y (+ x (+ (* -1/4 (/ (* a b) y)) (/ c y))))>
#<alt (* y (+ x (+ (* -1/4 (/ (* a b) y)) (/ c y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (* -1/4 (* a b))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (* -1/4 (* a b))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (* -1/4 (* a b))) y)))))>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt c>
#<alt (* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (/ (* x y) c))))>
#<alt (* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (/ (* x y) c))))>
#<alt (* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (/ (* x y) c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (* x y)) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (* x y)) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (* x y)) c)) 1)))>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt c>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ c x)))>
#<alt (* x (+ y (/ c x)))>
#<alt (* x (+ y (/ c x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))>
#<alt c>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ c y)))>
#<alt (* y (+ x (/ c y)))>
#<alt (* y (+ x (/ c y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))>
#<alt (* x y)>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt c>
#<alt (* c (+ 1 (/ (* x y) c)))>
#<alt (* c (+ 1 (/ (* x y) c)))>
#<alt (* c (+ 1 (/ (* x y) c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (* x y) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (* x y) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (* x y) c)) 1)))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt c>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (* 1/16 (* t z))>
#<alt (* t (+ (* 1/16 z) (/ c t)))>
#<alt (* t (+ (* 1/16 z) (/ c t)))>
#<alt (* t (+ (* 1/16 z) (/ c t)))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))>
#<alt c>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (* 1/16 (* t z))>
#<alt (* z (+ (* 1/16 t) (/ c z)))>
#<alt (* z (+ (* 1/16 t) (/ c z)))>
#<alt (* z (+ (* 1/16 t) (/ c z)))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))>
#<alt (* 1/16 (* t z))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt c>
#<alt (* c (+ 1 (* 1/16 (/ (* t z) c))))>
#<alt (* c (+ 1 (* 1/16 (/ (* t z) c))))>
#<alt (* c (+ 1 (* 1/16 (/ (* t z) c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))>
#<alt (* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))>
#<alt (* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* x y)>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (* 1/16 (* t z))>
#<alt (* t (+ (* 1/16 z) (/ (* x y) t)))>
#<alt (* t (+ (* 1/16 z) (/ (* x y) t)))>
#<alt (* t (+ (* 1/16 z) (/ (* x y) t)))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))>
#<alt (* x y)>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (* 1/16 (* t z))>
#<alt (* z (+ (* 1/16 t) (/ (* x y) z)))>
#<alt (* z (+ (* 1/16 t) (/ (* x y) z)))>
#<alt (* z (+ (* 1/16 t) (/ (* x y) z)))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))>
#<alt (* 1/16 (* t z))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 1/16 (/ (* t z) x))))>
#<alt (* x (+ y (* 1/16 (/ (* t z) x))))>
#<alt (* x (+ y (* 1/16 (/ (* t z) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))>
#<alt (* 1/16 (* t z))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 1/16 (/ (* t z) y))))>
#<alt (* y (+ x (* 1/16 (/ (* t z) y))))>
#<alt (* y (+ x (* 1/16 (/ (* t z) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))>

Calls

63 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(+ (* a (* b -1/4)) (+ (* x y) c))
0.0ms	b	@	inf	(* b -1/4)
0.0ms	b	@	-inf	(* b -1/4)
0.0ms	b	@	0	(* b -1/4)
0.0ms	x	@	0	(+ (* a (* b -1/4)) (+ (* x y) c))

rewrite550.0ms (4.4%)

Memory

7.8MiB live, 862.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

14 320×	`accelerator-lowering-fma.f32`
14 320×	`accelerator-lowering-fma.f64`
7 000×	`-lowering-.f32`
7 000×	`-lowering-.f64`
3 600×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	76	46
2	651	46
0	8472	41

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 269

Calls

Call 1

Inputs
(+ (* a (* b -1/4)) (+ (* x y) c))
(* b -1/4)
(+ (* x y) c)
(* x y)
(* a (* b -1/4))
(+ (* (* t 1/16) z) c)
(* t 1/16)
(+ (* (* t 1/16) z) (* x y))

Outputs
(+.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) (fma.f64 x y c))
(+.f64 (.f64 x y) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c))
(+.f64 (.f64 x y) (+.f64 c (.f64 a (*.f64 b #s(literal -1/4 binary64)))))
(+.f64 c (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y)))
(+.f64 (fma.f64 x y c) (.f64 a (.f64 b #s(literal -1/4 binary64))))
(+.f64 (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y)) c)
(+.f64 (/.f64 (.f64 (.f64 a b) (.f64 #s(literal 1/16 binary64) (.f64 a b))) (-.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) (fma.f64 x y c))) (neg.f64 (/.f64 (.f64 (fma.f64 x y c) (-.f64 #s(literal 0 binary64) (fma.f64 x y c))) (fma.f64 (.f64 a b) #s(literal 1/4 binary64) (fma.f64 x y c)))))
(+.f64 (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c) (.f64 x y))
(+.f64 (+.f64 c (.f64 a (.f64 b #s(literal -1/4 binary64)))) (*.f64 x y))
(-.f64 (/.f64 (.f64 (.f64 a b) (.f64 #s(literal 1/16 binary64) (.f64 a b))) (-.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) (fma.f64 x y c))) (/.f64 (.f64 (fma.f64 x y c) (-.f64 #s(literal 0 binary64) (fma.f64 x y c))) (fma.f64 (.f64 a b) #s(literal 1/4 binary64) (fma.f64 x y c))))
(-.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) c)) (-.f64 (/.f64 (.f64 c c) (-.f64 (.f64 x y) c)) (.f64 a (.f64 b #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (.f64 (fma.f64 x y c) (fma.f64 x y c)) (+.f64 (fma.f64 x y c) (.f64 (.f64 a b) #s(literal 1/4 binary64)))) (/.f64 (.f64 (.f64 a b) (.f64 #s(literal 1/16 binary64) (.f64 a b))) (+.f64 (fma.f64 x y c) (.f64 (*.f64 a b) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (.f64 (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y))) (-.f64 (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y)) c)) (/.f64 (.f64 c c) (-.f64 (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y)) c)))
(-.f64 (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) c))) (/.f64 (.f64 c c) (-.f64 (*.f64 x y) c)))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
(fma.f64 b (*.f64 a #s(literal -1/4 binary64)) (fma.f64 x y c))
(fma.f64 b (*.f64 #s(literal -1/4 binary64) a) (fma.f64 x y c))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 x y c))
(fma.f64 (*.f64 b #s(literal -1/4 binary64)) a (fma.f64 x y c))
(fma.f64 x y (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c))
(fma.f64 x y (+.f64 c (.f64 a (.f64 b #s(literal -1/4 binary64)))))
(fma.f64 y x (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c))
(fma.f64 y x (+.f64 c (.f64 a (.f64 b #s(literal -1/4 binary64)))))
(fma.f64 (fma.f64 x y c) (.f64 (-.f64 (.f64 x y) c) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) c))) (.f64 a (*.f64 b #s(literal -1/4 binary64))))
(fma.f64 (.f64 (.f64 a b) (.f64 #s(literal 1/16 binary64) (.f64 a b))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 a b) #s(literal 1/4 binary64) (fma.f64 x y c))) (neg.f64 (/.f64 (.f64 (fma.f64 x y c) (-.f64 #s(literal 0 binary64) (fma.f64 x y c))) (fma.f64 (*.f64 a b) #s(literal 1/4 binary64) (fma.f64 x y c)))))
(fma.f64 (.f64 (fma.f64 c c (.f64 (.f64 x y) (-.f64 (.f64 x y) c))) (fma.f64 x y c)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 c (-.f64 c (.f64 x y))))) (.f64 a (.f64 b #s(literal -1/4 binary64))))
(fma.f64 (.f64 (fma.f64 c c (.f64 (.f64 x y) (-.f64 (.f64 x y) c))) (fma.f64 x y c)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 (.f64 x y) (-.f64 (.f64 x y) c)))) (.f64 a (*.f64 b #s(literal -1/4 binary64))))
(fma.f64 (fma.f64 x (.f64 y (.f64 x y)) (.f64 c (-.f64 c (.f64 x y)))) (.f64 (fma.f64 x y c) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 c (-.f64 c (.f64 x y)))))) (.f64 a (*.f64 b #s(literal -1/4 binary64))))
(fma.f64 (.f64 (fma.f64 x y c) (-.f64 (.f64 x y) c)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) c)) (.f64 a (*.f64 b #s(literal -1/4 binary64))))
(fma.f64 (*.f64 a b) #s(literal -1/4 binary64) (fma.f64 x y c))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 c c (.f64 (.f64 x y) (-.f64 (.f64 x y) c))) (fma.f64 x y c))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 c (-.f64 c (.f64 x y)))))) (.f64 a (.f64 b #s(literal -1/4 binary64))))
(fma.f64 (.f64 (fma.f64 x y c) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x y) c))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x y) c))) (.f64 a (*.f64 b #s(literal -1/4 binary64))))
(fma.f64 (fma.f64 (.f64 (.f64 a b) (.f64 a (.f64 b (.f64 a b)))) #s(literal -1/64 binary64) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 b (.f64 #s(literal 1/16 binary64) (.f64 a b))) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 a (.f64 b #s(literal -1/4 binary64))))))) c)
(fma.f64 #s(literal 1 binary64) (fma.f64 x y c) (.f64 a (.f64 b #s(literal -1/4 binary64))))
(fma.f64 (-.f64 (.f64 (.f64 a b) (.f64 #s(literal 1/16 binary64) (.f64 a b))) (.f64 x (.f64 y (.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) (.f64 x y))) c)
(fma.f64 (.f64 (fma.f64 x y c) (-.f64 c (.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 c (.f64 x y))) (.f64 a (*.f64 b #s(literal -1/4 binary64))))
(fma.f64 (*.f64 a #s(literal -1/4 binary64)) b (fma.f64 x y c))
(fma.f64 (*.f64 #s(literal -1/4 binary64) a) b (fma.f64 x y c))
(neg.f64 (/.f64 (fma.f64 (.f64 (.f64 a b) (.f64 a (.f64 b (.f64 a b)))) #s(literal -1/64 binary64) (.f64 (fma.f64 x y c) (.f64 (fma.f64 x y c) (fma.f64 x y c)))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y c) (+.f64 (fma.f64 x y c) (.f64 (.f64 a b) #s(literal 1/4 binary64))) (.f64 (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 a b)))))))
(neg.f64 (/.f64 (-.f64 (.f64 (.f64 a b) (.f64 #s(literal 1/16 binary64) (.f64 a b))) (.f64 (fma.f64 x y c) (fma.f64 x y c))) (fma.f64 (.f64 a b) #s(literal 1/4 binary64) (fma.f64 x y c))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 a b) (.f64 a (.f64 b (.f64 a b)))) #s(literal -1/64 binary64) (.f64 (fma.f64 x y c) (.f64 (fma.f64 x y c) (fma.f64 x y c))))) (fma.f64 (fma.f64 x y c) (+.f64 (fma.f64 x y c) (.f64 (.f64 a b) #s(literal 1/4 binary64))) (.f64 (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 a b))))))
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(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64)) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))))) (neg.f64 (fma.f64 x (.f64 y (.f64 x y)) (.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t)) (.f64 x (.f64 y (.f64 x y))))) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 (.f64 t #s(literal 1/16 binary64)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 y (.f64 x y)) (.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (.f64 x y)))) (fma.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64)) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 (.f64 t #s(literal 1/16 binary64)) z))) #s(literal 1 binary64)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 (.f64 t #s(literal 1/16 binary64)) z)))))
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(/.f64 (.f64 (fma.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64))) (.f64 (.f64 (.f64 t (.f64 t t)) (.f64 t (.f64 t t))) (.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64)))) (.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64))) (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64))) (.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (-.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64)))))) (fma.f64 (.f64 x y) (fma.f64 x y (.f64 (.f64 z t) #s(literal -1/16 binary64))) (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64)) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (-.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64))) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64))) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (fma.f64 (.f64 x y) (fma.f64 x y (.f64 (.f64 z t) #s(literal -1/16 binary64))) (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t)))))
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(/.f64 (.f64 (.f64 (fma.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t)) (.f64 x (.f64 y (.f64 x y))))) #s(literal 1 binary64)) (.f64 (fma.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (*.f64 x y))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64)) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x y) (fma.f64 x y (.f64 (.f64 z t) #s(literal -1/16 binary64))) (.f64 t (.f64 (.f64 (*.f64 z z) #s(literal 1/256 binary64)) t))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t)) (.f64 x (.f64 y (.f64 x y)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (.f64 x y)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x y (.f64 (.f64 t #s(literal 1/16 binary64)) z)) (fma.f64 x y (.f64 (.f64 z t) #s(literal -1/16 binary64))))) (neg.f64 (fma.f64 x y (.f64 (*.f64 z t) #s(literal -1/16 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t)) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t)) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (.f64 x y))) (/.f64 (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t)) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (.f64 x y))) (fma.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (.f64 x y))) (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (.f64 x y))) (.f64 (/.f64 (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t)) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (.f64 x y))) (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (*.f64 x y)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t)) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (.f64 x y))) (/.f64 (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t)) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (.f64 x y)))) (.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (.f64 x y))) (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (.f64 x y))))) (+.f64 (/.f64 (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t)) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (.f64 x y))) (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (*.f64 x y)))))
(/.f64 (.f64 (fma.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64)) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))))) #s(literal 1 binary64)) (fma.f64 (.f64 x y) (fma.f64 x y (.f64 (.f64 z t) #s(literal -1/16 binary64))) (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t))))
(/.f64 (.f64 (-.f64 (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t)) (.f64 x (.f64 y (.f64 x y)))) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (*.f64 x y)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64))) (.f64 (.f64 (.f64 t (.f64 t t)) (.f64 t (.f64 t t))) (.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64)))) (.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (fma.f64 x y (.f64 (.f64 z t) #s(literal -1/16 binary64))) (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t))))) (fma.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64))) (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64))) (.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (-.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (*.f64 z z)) #s(literal 1/4096 binary64)))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64)) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (-.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64))) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (fma.f64 x y (.f64 (.f64 z t) #s(literal -1/16 binary64))) (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t))))) (-.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64))) (.f64 x (.f64 y (.f64 x (.f64 y (*.f64 x y)))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64)) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (-.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64))) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (.f64 x y)))) (fma.f64 (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t)) (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t)) (.f64 (.f64 x (.f64 y (.f64 x y))) (fma.f64 x (.f64 y (.f64 x y)) (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t))))))
(/.f64 (.f64 (.f64 (fma.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t)) (.f64 x (.f64 y (.f64 x y))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (.f64 x y)))) (fma.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t) (.f64 x (.f64 y (.f64 x y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 (.f64 t #s(literal 1/16 binary64)) z))) #s(literal -1 binary64))
(.f64 (fma.f64 x y (.f64 (.f64 t #s(literal 1/16 binary64)) z)) (.f64 (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (.f64 x y)))))
(.f64 (fma.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64)) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (fma.f64 x y (.f64 (.f64 z t) #s(literal -1/16 binary64))) (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t)))))
(.f64 (fma.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64)) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (*.f64 x y))))))
(.f64 (fma.f64 (.f64 x y) (fma.f64 x y (.f64 (.f64 z t) #s(literal -1/16 binary64))) (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t))) (.f64 (fma.f64 x y (.f64 (.f64 t #s(literal 1/16 binary64)) z)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (fma.f64 x y (.f64 (.f64 z t) #s(literal -1/16 binary64))) (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t))))))
(.f64 (-.f64 (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t)) (.f64 x (.f64 y (.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (*.f64 x y))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/4096 binary64)) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x y) (fma.f64 x y (.f64 (.f64 z t) #s(literal -1/16 binary64))) (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 t (.f64 (.f64 (.f64 z z) #s(literal 1/256 binary64)) t)) (.f64 x (.f64 y (.f64 x y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 t #s(literal 1/16 binary64)) z) (*.f64 x y)))))
(.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 (*.f64 t #s(literal 1/16 binary64)) z)))
(.f64 (.f64 (fma.f64 x y (.f64 (.f64 t #s(literal 1/16 binary64)) z)) (fma.f64 x y (.f64 (.f64 z t) #s(literal -1/16 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 (.f64 z t) #s(literal -1/16 binary64)))))

simplify420.0ms (3.4%)

Memory

-45.3MiB live, 559.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 726×	`accelerator-lowering-fma.f32`
8 726×	`accelerator-lowering-fma.f64`
4 014×	`-lowering-.f32`
4 014×	`-lowering-.f64`
2 292×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	1654
1	535	1654
2	1646	1654
3	4376	1618
4	7229	1618
0	8405	1433

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(+ c (* x y))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(* -1/4 (* a b))
(* a (+ (* -1/4 b) (+ (/ c a) (/ (* x y) a))))
(* a (+ (* -1/4 b) (+ (/ c a) (/ (* x y) a))))
(* a (+ (* -1/4 b) (+ (/ c a) (/ (* x y) a))))
(* -1/4 (* a b))
(* -1 (* a (+ (* -1 (/ (+ c (* x y)) a)) (* 1/4 b))))
(* -1 (* a (+ (* -1 (/ (+ c (* x y)) a)) (* 1/4 b))))
(* -1 (* a (+ (* -1 (/ (+ c (* x y)) a)) (* 1/4 b))))
(+ c (* x y))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(* -1/4 (* a b))
(* b (+ (* -1/4 a) (+ (/ c b) (/ (* x y) b))))
(* b (+ (* -1/4 a) (+ (/ c b) (/ (* x y) b))))
(* b (+ (* -1/4 a) (+ (/ c b) (/ (* x y) b))))
(* -1/4 (* a b))
(* -1 (* b (+ (* -1 (/ (+ c (* x y)) b)) (* 1/4 a))))
(* -1 (* b (+ (* -1 (/ (+ c (* x y)) b)) (* 1/4 a))))
(* -1 (* b (+ (* -1 (/ (+ c (* x y)) b)) (* 1/4 a))))
(+ c (* -1/4 (* a b)))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(* x y)
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (/ c x))))
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (/ c x))))
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (/ c x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (* -1/4 (* a b))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (* -1/4 (* a b))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (* -1/4 (* a b))) x)))))
(+ c (* -1/4 (* a b)))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(* x y)
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (/ c y))))
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (/ c y))))
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (/ c y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (* -1/4 (* a b))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (* -1/4 (* a b))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (* -1/4 (* a b))) y)))))
(+ (* -1/4 (* a b)) (* x y))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (* x y)))
c
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (/ (* x y) c))))
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (/ (* x y) c))))
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (/ (* x y) c))))
c
(* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (* x y)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (* x y)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (* x y)) c)) 1)))
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
c
(+ c (* x y))
(+ c (* x y))
(+ c (* x y))
(* x y)
(* x (+ y (/ c x)))
(* x (+ y (/ c x)))
(* x (+ y (/ c x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
c
(+ c (* x y))
(+ c (* x y))
(+ c (* x y))
(* x y)
(* y (+ x (/ c y)))
(* y (+ x (/ c y)))
(* y (+ x (/ c y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(* x y)
(+ c (* x y))
(+ c (* x y))
(+ c (* x y))
c
(* c (+ 1 (/ (* x y) c)))
(* c (+ 1 (/ (* x y) c)))
(* c (+ 1 (/ (* x y) c)))
c
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
c
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
(* 1/16 (* t z))
(* t (+ (* 1/16 z) (/ c t)))
(* t (+ (* 1/16 z) (/ c t)))
(* t (+ (* 1/16 z) (/ c t)))
(* 1/16 (* t z))
(* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))
c
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
(* 1/16 (* t z))
(* z (+ (* 1/16 t) (/ c z)))
(* z (+ (* 1/16 t) (/ c z)))
(* z (+ (* 1/16 t) (/ c z)))
(* 1/16 (* t z))
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(* 1/16 (* t z))
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
c
(* c (+ 1 (* 1/16 (/ (* t z) c))))
(* c (+ 1 (* 1/16 (/ (* t z) c))))
(* c (+ 1 (* 1/16 (/ (* t z) c))))
c
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* x y)
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(* 1/16 (* t z))
(* t (+ (* 1/16 z) (/ (* x y) t)))
(* t (+ (* 1/16 z) (/ (* x y) t)))
(* t (+ (* 1/16 z) (/ (* x y) t)))
(* 1/16 (* t z))
(* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))
(* x y)
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(* 1/16 (* t z))
(* z (+ (* 1/16 t) (/ (* x y) z)))
(* z (+ (* 1/16 t) (/ (* x y) z)))
(* z (+ (* 1/16 t) (/ (* x y) z)))
(* 1/16 (* t z))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))
(* 1/16 (* t z))
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(* x y)
(* x (+ y (* 1/16 (/ (* t z) x))))
(* x (+ y (* 1/16 (/ (* t z) x))))
(* x (+ y (* 1/16 (/ (* t z) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))
(* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))
(* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))
(* 1/16 (* t z))
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(* x y)
(* y (+ x (* 1/16 (/ (* t z) y))))
(* y (+ x (* 1/16 (/ (* t z) y))))
(* y (+ x (* 1/16 (/ (* t z) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))
(* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))
(* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))

Outputs
(+ c (* x y))
(fma.f64 x y c)
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* a (+ (* -1/4 b) (+ (/ c a) (/ (* x y) a))))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(* a (+ (* -1/4 b) (+ (/ c a) (/ (* x y) a))))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(* a (+ (* -1/4 b) (+ (/ c a) (/ (* x y) a))))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1 (* a (+ (* -1 (/ (+ c (* x y)) a)) (* 1/4 b))))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(* -1 (* a (+ (* -1 (/ (+ c (* x y)) a)) (* 1/4 b))))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(* -1 (* a (+ (* -1 (/ (+ c (* x y)) a)) (* 1/4 b))))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(+ c (* x y))
(fma.f64 x y c)
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* b (+ (* -1/4 a) (+ (/ c b) (/ (* x y) b))))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(* b (+ (* -1/4 a) (+ (/ c b) (/ (* x y) b))))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(* b (+ (* -1/4 a) (+ (/ c b) (/ (* x y) b))))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1 (* b (+ (* -1 (/ (+ c (* x y)) b)) (* 1/4 a))))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(* -1 (* b (+ (* -1 (/ (+ c (* x y)) b)) (* 1/4 a))))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(* -1 (* b (+ (* -1 (/ (+ c (* x y)) b)) (* 1/4 a))))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(+ c (* -1/4 (* a b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(* x y)
(*.f64 x y)
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (/ c x))))
(fma.f64 x y (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 a b) c) #s(literal 1 binary64)))
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (/ c x))))
(fma.f64 x y (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 a b) c) #s(literal 1 binary64)))
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (/ c x))))
(fma.f64 x y (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 a b) c) #s(literal 1 binary64)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (* -1/4 (* a b))) x)))))
(fma.f64 x y (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 a b) c) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (* -1/4 (* a b))) x)))))
(fma.f64 x y (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 a b) c) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (* -1/4 (* a b))) x)))))
(fma.f64 x y (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 a b) c) #s(literal 1 binary64)))
(+ c (* -1/4 (* a b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(* x y)
(*.f64 x y)
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (/ c y))))
(fma.f64 x y (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 a b) c) #s(literal 1 binary64)))
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (/ c y))))
(fma.f64 x y (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 a b) c) #s(literal 1 binary64)))
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (/ c y))))
(fma.f64 x y (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 a b) c) #s(literal 1 binary64)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (* -1/4 (* a b))) y)))))
(fma.f64 x y (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 a b) c) #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (* -1/4 (* a b))) y)))))
(fma.f64 x y (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 a b) c) #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (* -1/4 (* a b))) y)))))
(fma.f64 x y (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 a b) c) #s(literal 1 binary64)))
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 x y))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
c
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (/ (* x y) c))))
(fma.f64 c (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a b) c) #s(literal 1 binary64)) (.f64 x y))
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (/ (* x y) c))))
(fma.f64 c (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a b) c) #s(literal 1 binary64)) (.f64 x y))
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (/ (* x y) c))))
(fma.f64 c (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a b) c) #s(literal 1 binary64)) (.f64 x y))
c
(* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (* x y)) c)) 1)))
(fma.f64 c (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a b) c) #s(literal 1 binary64)) (.f64 x y))
(* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (* x y)) c)) 1)))
(fma.f64 c (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a b) c) #s(literal 1 binary64)) (.f64 x y))
(* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (* x y)) c)) 1)))
(fma.f64 c (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a b) c) #s(literal 1 binary64)) (.f64 x y))
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
c
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
(* x y)
(*.f64 x y)
(* x (+ y (/ c x)))
(fma.f64 x y c)
(* x (+ y (/ c x)))
(fma.f64 x y c)
(* x (+ y (/ c x)))
(fma.f64 x y c)
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(fma.f64 x y c)
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(fma.f64 x y c)
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(fma.f64 x y c)
c
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
(* x y)
(*.f64 x y)
(* y (+ x (/ c y)))
(fma.f64 x y c)
(* y (+ x (/ c y)))
(fma.f64 x y c)
(* y (+ x (/ c y)))
(fma.f64 x y c)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(fma.f64 x y c)
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(fma.f64 x y c)
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(fma.f64 x y c)
(* x y)
(*.f64 x y)
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
c
(* c (+ 1 (/ (* x y) c)))
(fma.f64 x y c)
(* c (+ 1 (/ (* x y) c)))
(fma.f64 x y c)
(* c (+ 1 (/ (* x y) c)))
(fma.f64 x y c)
c
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(fma.f64 x y c)
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(fma.f64 x y c)
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(fma.f64 x y c)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
c
(+ c (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(+ c (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(+ c (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* t (+ (* 1/16 z) (/ c t)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* t (+ (* 1/16 z) (/ c t)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* t (+ (* 1/16 z) (/ c t)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
c
(+ c (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(+ c (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(+ c (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* z (+ (* 1/16 t) (/ c z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* z (+ (* 1/16 t) (/ c z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* z (+ (* 1/16 t) (/ c z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(+ c (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(+ c (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(+ c (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
c
(* c (+ 1 (* 1/16 (/ (* t z) c))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* c (+ 1 (* 1/16 (/ (* t z) c))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* c (+ 1 (* 1/16 (/ (* t z) c))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
c
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* x y)
(*.f64 x y)
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* t (+ (* 1/16 z) (/ (* x y) t)))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* t (+ (* 1/16 z) (/ (* x y) t)))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* t (+ (* 1/16 z) (/ (* x y) t)))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* x y)
(*.f64 x y)
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* z (+ (* 1/16 t) (/ (* x y) z)))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* z (+ (* 1/16 t) (/ (* x y) z)))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* z (+ (* 1/16 t) (/ (* x y) z)))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* x y)
(*.f64 x y)
(* x (+ y (* 1/16 (/ (* t z) x))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* x (+ y (* 1/16 (/ (* t z) x))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* x (+ y (* 1/16 (/ (* t z) x))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* x y)
(*.f64 x y)
(* y (+ x (* 1/16 (/ (* t z) y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* y (+ x (* 1/16 (/ (* t z) y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* y (+ x (* 1/16 (/ (* t z) y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
(* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))

eval116.0ms (0.9%)

Memory: 11.4MiB live, 135.1MiB allocated
Compiler: Compiled 12 454 to 766 computations (93.8% saved)

prune79.0ms (0.6%)

Memory

-5.9MiB live, 108.2MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	573	2	575
Fresh	1	3	4
Picked	1	4	5
Done	0	1	1
Total	575	10	585

Accuracy

100.0%

Counts

585 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.2%	(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 x y))
▶	50.3%	(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 a (*.f64 b #s(literal -1/4 binary64))))
✓	46.6%	(fma.f64 (*.f64 t #s(literal 1/16 binary64)) z c)
▶	52.0%	(fma.f64 y x c)
▶	55.2%	(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y))
▶	44.9%	(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
▶	27.4%	(.f64 (.f64 t z) #s(literal 1/16 binary64))
✓	32.4%	(*.f64 x y)
✓	25.8%	(.f64 a (.f64 b #s(literal -1/4 binary64)))
✓	21.4%	c

Compiler

Compiled 194 to 150 computations (22.7% saved)

simplify7.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 b #s(literal -1/4 binary64))
✓	cost-diff	(.f64 a (.f64 b #s(literal -1/4 binary64)))
✓	cost-diff	(*.f64 t #s(literal 1/16 binary64))
✓	cost-diff	(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 a (*.f64 b #s(literal -1/4 binary64))))
✓	cost-diff	(*.f64 b #s(literal -1/4 binary64))
✓	cost-diff	(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
✓	cost-diff	(*.f64 t z)
✓	cost-diff	(.f64 (.f64 t z) #s(literal 1/16 binary64))
✓	cost-diff	(fma.f64 y x c)
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(*.f64 b #s(literal -1/4 binary64))
✓	cost-diff	(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y))

Rules

56×	`accelerator-lowering-fma.f32`
56×	`accelerator-lowering-fma.f64`
52×	`-lowering-.f32`
52×	`-lowering-.f64`
22×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	81
1	39	81
2	48	81
3	50	81
0	50	77

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* a (* b -1/4)) (* x y))
a
(* b -1/4)
b
-1/4
(* x y)
x
y
(+ (* y x) c)
y
x
c
(* (* t z) 1/16)
(* t z)
t
z
1/16
(+ (* a (* b -1/4)) c)
a
(* b -1/4)
b
-1/4
c
(+ (* (* t 1/16) z) (* a (* b -1/4)))
(* t 1/16)
t
1/16
z
(* a (* b -1/4))
a
(* b -1/4)
b
-1/4

Outputs
(+ (* a (* b -1/4)) (* x y))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y))
a
(* b -1/4)
(*.f64 b #s(literal -1/4 binary64))
b
-1/4
#s(literal -1/4 binary64)
(* x y)
(*.f64 x y)
x
y
(+ (* y x) c)
(fma.f64 x y c)
y
x
c
(* (* t z) 1/16)
(.f64 t (.f64 z #s(literal 1/16 binary64)))
(* t z)
(*.f64 t z)
t
z
1/16
#s(literal 1/16 binary64)
(+ (* a (* b -1/4)) c)
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
a
(* b -1/4)
(*.f64 b #s(literal -1/4 binary64))
b
-1/4
#s(literal -1/4 binary64)
c
(+ (* (* t 1/16) z) (* a (* b -1/4)))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 t (*.f64 z #s(literal 1/16 binary64))))
(* t 1/16)
(*.f64 t #s(literal 1/16 binary64))
t
1/16
#s(literal 1/16 binary64)
z
(* a (* b -1/4))
(.f64 a (.f64 b #s(literal -1/4 binary64)))
a
(* b -1/4)
(*.f64 b #s(literal -1/4 binary64))
b
-1/4
#s(literal -1/4 binary64)

localize65.0ms (0.5%)

Memory

-19.7MiB live, 140.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 t #s(literal 1/16 binary64))
✓	accuracy	100.0%	(*.f64 b #s(literal -1/4 binary64))
✓	accuracy	100.0%	(.f64 a (.f64 b #s(literal -1/4 binary64)))
✓	accuracy	99.2%	(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 a (*.f64 b #s(literal -1/4 binary64))))
✓	accuracy	100.0%	(*.f64 b #s(literal -1/4 binary64))
✓	accuracy	100.0%	(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
✓	accuracy	100.0%	(.f64 (.f64 t z) #s(literal 1/16 binary64))
✓	accuracy	100.0%	(*.f64 t z)
✓	accuracy	100.0%	(fma.f64 y x c)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 b #s(literal -1/4 binary64))
✓	accuracy	99.6%	(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y))

Samples

37.0ms

256×

valid

Compiler

Compiled 79 to 23 computations (70.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 14.0ms (72.6% of total)

ival-add: 4.0ms (20.7% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

10 → 288

Calls

Call 1

Inputs
#<alt (+ (* a (* b -1/4)) (* x y))>
#<alt (* b -1/4)>
#<alt (* x y)>
#<alt (+ (* y x) c)>
#<alt (* (* t z) 1/16)>
#<alt (* t z)>
#<alt (+ (* a (* b -1/4)) c)>
#<alt (+ (* (* t 1/16) z) (* a (* b -1/4)))>
#<alt (* t 1/16)>
#<alt (* a (* b -1/4))>

Outputs
#<alt (* x y)>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (* -1/4 (* a b))>
#<alt (* a (+ (* -1/4 b) (/ (* x y) a)))>
#<alt (* a (+ (* -1/4 b) (/ (* x y) a)))>
#<alt (* a (+ (* -1/4 b) (/ (* x y) a)))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* a (+ (* -1 (/ (* x y) a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1 (/ (* x y) a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1 (/ (* x y) a)) (* 1/4 b))))>
#<alt (* x y)>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (* -1/4 (* a b))>
#<alt (* b (+ (* -1/4 a) (/ (* x y) b)))>
#<alt (* b (+ (* -1/4 a) (/ (* x y) b)))>
#<alt (* b (+ (* -1/4 a) (/ (* x y) b)))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* b (+ (* -1 (/ (* x y) b)) (* 1/4 a))))>
#<alt (* -1 (* b (+ (* -1 (/ (* x y) b)) (* 1/4 a))))>
#<alt (* -1 (* b (+ (* -1 (/ (* x y) b)) (* 1/4 a))))>
#<alt (* -1/4 (* a b))>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1/4 (/ (* a b) x))))>
#<alt (* x (+ y (* -1/4 (/ (* a b) x))))>
#<alt (* x (+ y (* -1/4 (/ (* a b) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 1/4 (/ (* a b) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/4 (/ (* a b) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/4 (/ (* a b) x)))))>
#<alt (* -1/4 (* a b))>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/4 (/ (* a b) y))))>
#<alt (* y (+ x (* -1/4 (/ (* a b) y))))>
#<alt (* y (+ x (* -1/4 (/ (* a b) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* 1/4 (/ (* a b) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* 1/4 (/ (* a b) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* 1/4 (/ (* a b) y)))))>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt c>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ c y)))>
#<alt (* y (+ x (/ c y)))>
#<alt (* y (+ x (/ c y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))>
#<alt c>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ c x)))>
#<alt (* x (+ y (/ c x)))>
#<alt (* x (+ y (/ c x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))>
#<alt (* x y)>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt c>
#<alt (* c (+ 1 (/ (* x y) c)))>
#<alt (* c (+ 1 (/ (* x y) c)))>
#<alt (* c (+ 1 (/ (* x y) c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (* x y) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (* x y) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (* x y) c)) 1)))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt c>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (* -1/4 (* a b))>
#<alt (* a (+ (* -1/4 b) (/ c a)))>
#<alt (* a (+ (* -1/4 b) (/ c a)))>
#<alt (* a (+ (* -1/4 b) (/ c a)))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* a (+ (* -1 (/ c a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1 (/ c a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1 (/ c a)) (* 1/4 b))))>
#<alt c>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (* -1/4 (* a b))>
#<alt (* b (+ (* -1/4 a) (/ c b)))>
#<alt (* b (+ (* -1/4 a) (/ c b)))>
#<alt (* b (+ (* -1/4 a) (/ c b)))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* b (+ (* -1 (/ c b)) (* 1/4 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c b)) (* 1/4 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c b)) (* 1/4 a))))>
#<alt (* -1/4 (* a b))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt c>
#<alt (* c (+ 1 (* -1/4 (/ (* a b) c))))>
#<alt (* c (+ 1 (* -1/4 (/ (* a b) c))))>
#<alt (* c (+ 1 (* -1/4 (/ (* a b) c))))>
#<alt c>
#<alt (* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))>
#<alt (* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))>
#<alt (* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))>
#<alt (* -1/4 (* a b))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (* 1/16 (* t z))>
#<alt (* t (+ (* -1/4 (/ (* a b) t)) (* 1/16 z)))>
#<alt (* t (+ (* -1/4 (/ (* a b) t)) (* 1/16 z)))>
#<alt (* t (+ (* -1/4 (/ (* a b) t)) (* 1/16 z)))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* t (+ (* -1/16 z) (* 1/4 (/ (* a b) t)))))>
#<alt (* -1 (* t (+ (* -1/16 z) (* 1/4 (/ (* a b) t)))))>
#<alt (* -1 (* t (+ (* -1/16 z) (* 1/4 (/ (* a b) t)))))>
#<alt (* -1/4 (* a b))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (* 1/16 (* t z))>
#<alt (* z (+ (* -1/4 (/ (* a b) z)) (* 1/16 t)))>
#<alt (* z (+ (* -1/4 (/ (* a b) z)) (* 1/16 t)))>
#<alt (* z (+ (* -1/4 (/ (* a b) z)) (* 1/16 t)))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* z (+ (* -1/16 t) (* 1/4 (/ (* a b) z)))))>
#<alt (* -1 (* z (+ (* -1/16 t) (* 1/4 (/ (* a b) z)))))>
#<alt (* -1 (* z (+ (* -1/16 t) (* 1/4 (/ (* a b) z)))))>
#<alt (* 1/16 (* t z))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (* -1/4 (* a b))>
#<alt (* a (+ (* -1/4 b) (* 1/16 (/ (* t z) a))))>
#<alt (* a (+ (* -1/4 b) (* 1/16 (/ (* t z) a))))>
#<alt (* a (+ (* -1/4 b) (* 1/16 (/ (* t z) a))))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* a (+ (* -1/16 (/ (* t z) a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1/16 (/ (* t z) a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1/16 (/ (* t z) a)) (* 1/4 b))))>
#<alt (* 1/16 (* t z))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (* -1/4 (* a b))>
#<alt (* b (+ (* -1/4 a) (* 1/16 (/ (* t z) b))))>
#<alt (* b (+ (* -1/4 a) (* 1/16 (/ (* t z) b))))>
#<alt (* b (+ (* -1/4 a) (* 1/16 (/ (* t z) b))))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* b (+ (* -1/16 (/ (* t z) b)) (* 1/4 a))))>
#<alt (* -1 (* b (+ (* -1/16 (/ (* t z) b)) (* 1/4 a))))>
#<alt (* -1 (* b (+ (* -1/16 (/ (* t z) b)) (* 1/4 a))))>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(+ (* a (* b -1/4)) c)
0.0ms	t	@	0	(+ (* (* t 1/16) z) (* a (* b -1/4)))
0.0ms	z	@	0	(+ (* (* t 1/16) z) (* a (* b -1/4)))
0.0ms	b	@	inf	(+ (* a (* b -1/4)) c)
0.0ms	z	@	inf	(+ (* (* t 1/16) z) (* a (* b -1/4)))

rewrite1.1s (8.6%)

Memory

-8.4MiB live, 781.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

14 648×	`accelerator-lowering-fma.f32`
14 648×	`accelerator-lowering-fma.f64`
6 296×	`-lowering-.f32`
6 296×	`-lowering-.f64`
2 472×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	54
1	87	54
2	586	54
3	6681	54
0	8076	50

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 329

Calls

Call 1

Inputs
(+ (* a (* b -1/4)) (* x y))
(* b -1/4)
(* x y)
(+ (* y x) c)
(* (* t z) 1/16)
(* t z)
(+ (* a (* b -1/4)) c)
(+ (* (* t 1/16) z) (* a (* b -1/4)))
(* t 1/16)
(* a (* b -1/4))

Outputs
(+.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) (*.f64 x y))
(+.f64 (.f64 x y) (.f64 a (*.f64 b #s(literal -1/4 binary64))))
(+.f64 (/.f64 (.f64 b (.f64 a (.f64 #s(literal 1/16 binary64) (.f64 a b)))) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (.f64 b #s(literal -1/4 binary64))))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (*.f64 b #s(literal -1/4 binary64)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (*.f64 x y)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 b (.f64 a (.f64 #s(literal 1/16 binary64) (.f64 a b)))) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (.f64 b #s(literal -1/4 binary64))))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (*.f64 b #s(literal -1/4 binary64))))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y (.f64 a (.f64 b #s(literal 1/4 binary64))))) (/.f64 (.f64 b (.f64 a (.f64 #s(literal 1/16 binary64) (.f64 a b)))) (fma.f64 x y (.f64 a (*.f64 b #s(literal 1/4 binary64))))))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y))
(fma.f64 a (/.f64 (.f64 a (.f64 #s(literal 1/16 binary64) (.f64 b b))) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (.f64 b #s(literal -1/4 binary64))))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (.f64 b #s(literal -1/4 binary64)))))))
(fma.f64 b (.f64 a #s(literal -1/4 binary64)) (.f64 x y))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 x y))
(fma.f64 (.f64 b #s(literal -1/4 binary64)) a (.f64 x y))
(fma.f64 (.f64 b #s(literal -1/4 binary64)) (/.f64 (.f64 a (.f64 a (.f64 b #s(literal -1/4 binary64)))) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (.f64 b #s(literal -1/4 binary64))))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (*.f64 b #s(literal -1/4 binary64)))))))
(fma.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) (/.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (.f64 b #s(literal -1/4 binary64))))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (*.f64 b #s(literal -1/4 binary64)))))))
(fma.f64 x y (.f64 a (.f64 b #s(literal -1/4 binary64))))
(fma.f64 y x (.f64 a (.f64 b #s(literal -1/4 binary64))))
(fma.f64 (.f64 b (.f64 a (.f64 #s(literal 1/16 binary64) (.f64 a b)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (.f64 b #s(literal -1/4 binary64))))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (*.f64 b #s(literal -1/4 binary64)))))))
(fma.f64 (.f64 a b) #s(literal -1/4 binary64) (.f64 x y))
(fma.f64 (.f64 a b) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 a b)) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (.f64 b #s(literal -1/4 binary64))))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (.f64 b #s(literal -1/4 binary64)))))))
(fma.f64 (.f64 a a) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 b b)) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (.f64 b #s(literal -1/4 binary64))))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (.f64 b #s(literal -1/4 binary64)))))))
(fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 b b)) (/.f64 (.f64 a a) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (.f64 b #s(literal -1/4 binary64))))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (.f64 b #s(literal -1/4 binary64)))))))
(fma.f64 (.f64 a (.f64 b (.f64 a b))) (/.f64 #s(literal 1/16 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (.f64 b #s(literal -1/4 binary64))))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (.f64 b #s(literal -1/4 binary64)))))))
(fma.f64 (.f64 a (.f64 a (.f64 b #s(literal -1/4 binary64)))) (/.f64 (.f64 b #s(literal -1/4 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (.f64 b #s(literal -1/4 binary64))))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (*.f64 b #s(literal -1/4 binary64)))))))
(fma.f64 (.f64 b (.f64 a (.f64 a (.f64 b #s(literal -1/4 binary64))))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (.f64 b #s(literal -1/4 binary64))))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (*.f64 b #s(literal -1/4 binary64)))))))
(fma.f64 (.f64 a #s(literal -1/4 binary64)) b (.f64 x y))
(fma.f64 (.f64 a (.f64 #s(literal 1/16 binary64) (.f64 b b))) (/.f64 a (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (.f64 b #s(literal -1/4 binary64))))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (.f64 b #s(literal -1/4 binary64)))))))
(fma.f64 (/.f64 (.f64 b (.f64 a (.f64 #s(literal 1/16 binary64) (.f64 a b)))) (-.f64 (.f64 b (.f64 a (.f64 #s(literal 1/16 binary64) (.f64 a b)))) (.f64 x (.f64 x (.f64 y y))))) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (.f64 b #s(literal -1/4 binary64)))))))
(fma.f64 (/.f64 (.f64 b (.f64 a (.f64 #s(literal 1/16 binary64) (.f64 a b)))) (fma.f64 (.f64 (.f64 a b) (.f64 a (.f64 b (.f64 a b)))) #s(literal -1/64 binary64) (neg.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))))) (fma.f64 a (.f64 a (.f64 #s(literal 1/16 binary64) (.f64 b b))) (.f64 (.f64 x y) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (.f64 b #s(literal -1/4 binary64)))))))
(neg.f64 (/.f64 (fma.f64 (.f64 (.f64 a b) (.f64 a (.f64 b (.f64 a b)))) #s(literal -1/64 binary64) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (fma.f64 x y (.f64 a (.f64 b #s(literal 1/4 binary64))))) (.f64 b (.f64 a (.f64 #s(literal 1/16 binary64) (*.f64 a b))))))))
(neg.f64 (/.f64 (-.f64 (.f64 b (.f64 a (.f64 #s(literal 1/16 binary64) (.f64 a b)))) (.f64 x (.f64 x (.f64 y y)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (*.f64 b #s(literal -1/4 binary64)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 a b) (.f64 a (.f64 b (.f64 a b)))) #s(literal -1/64 binary64) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (fma.f64 x (.f64 y (fma.f64 x y (.f64 a (.f64 b #s(literal 1/4 binary64))))) (.f64 b (.f64 a (.f64 #s(literal 1/16 binary64) (*.f64 a b)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 b (.f64 a (.f64 #s(literal 1/16 binary64) (.f64 a b)))) (.f64 x (.f64 x (.f64 y y))))) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (*.f64 b #s(literal -1/4 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 a b) (.f64 a (.f64 b (.f64 a b)))) #s(literal -1/64 binary64) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (fma.f64 x (.f64 y (fma.f64 x y (.f64 a (.f64 b #s(literal 1/4 binary64))))) (.f64 b (.f64 a (.f64 #s(literal 1/16 binary64) (*.f64 a b))))))
(/.f64 (-.f64 (.f64 b (.f64 a (.f64 #s(literal 1/16 binary64) (.f64 a b)))) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (*.f64 b #s(literal -1/4 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 a b) (.f64 a (.f64 b (.f64 a b)))) #s(literal -1/64 binary64) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (fma.f64 x y (.f64 a (.f64 b #s(literal 1/4 binary64))))) (.f64 b (.f64 a (.f64 #s(literal 1/16 binary64) (*.f64 a b)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 b (.f64 a (.f64 #s(literal 1/16 binary64) (.f64 a b)))) (.f64 x (.f64 x (.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (*.f64 b #s(literal -1/4 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (.f64 (.f64 (.f64 (.f64 a b) (.f64 a (.f64 b (.f64 a b)))) #s(literal -1/64 binary64)) (.f64 (.f64 (.f64 (.f64 a b) (.f64 a (.f64 b (.f64 a b)))) (.f64 (.f64 a b) (.f64 a (.f64 b (.f64 a b))))) #s(literal 1/4096 binary64)))) (.f64 (fma.f64 x (.f64 y (fma.f64 x y (.f64 a (.f64 b #s(literal 1/4 binary64))))) (.f64 b (.f64 a (.f64 #s(literal 1/16 binary64) (.f64 a b))))) (fma.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 (.f64 a b) (.f64 a (.f64 b (.f64 a b)))) #s(literal -1/64 binary64))) (.f64 (.f64 (.f64 (.f64 a b) (.f64 a (.f64 b (.f64 a b)))) (.f64 (.f64 a b) (.f64 a (.f64 b (*.f64 a b))))) #s(literal 1/4096 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y (.f64 a (.f64 b #s(literal 1/4 binary64)))) (fma.f64 x (.f64 x (.f64 y y)) (.f64 (.f64 a (.f64 b (.f64 a b))) #s(literal -1/16 binary64)))))
(/.f64 (fma.f64 x (.f64 x (.f64 y y)) (.f64 (.f64 a (.f64 b (.f64 a b))) #s(literal -1/16 binary64))) (fma.f64 x y (.f64 a (.f64 b #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 a b) (.f64 a (.f64 b (.f64 a b)))) (.f64 (.f64 a b) (.f64 a (.f64 b (.f64 a b))))) #s(literal 1/4096 binary64) (.f64 (neg.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (.f64 (fma.f64 x (.f64 y (fma.f64 x y (.f64 a (.f64 b #s(literal 1/4 binary64))))) (.f64 b (.f64 a (.f64 #s(literal 1/16 binary64) (.f64 a b))))) (fma.f64 (.f64 (.f64 a b) (.f64 a (.f64 b (.f64 a b)))) #s(literal -1/64 binary64) (neg.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 a b) (.f64 a (.f64 b (.f64 a b)))) (.f64 (.f64 a b) (.f64 a (.f64 b (.f64 a b))))) #s(literal 1/4096 binary64) (.f64 (neg.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 a (.f64 b #s(literal -1/4 binary64)))) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 a (.f64 a (.f64 #s(literal 1/16 binary64) (.f64 b b))) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 (.f64 a (.f64 b (.f64 a b))) (.f64 a (.f64 b (.f64 a b)))) #s(literal 1/256 binary64)))))
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(*.f64 t #s(literal 1/16 binary64))
(*.f64 #s(literal 1/16 binary64) t)
(.f64 a (.f64 b #s(literal -1/4 binary64)))
(.f64 b (.f64 a #s(literal -1/4 binary64)))
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(.f64 (.f64 b #s(literal -1/4 binary64)) a)
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(.f64 (.f64 a #s(literal -1/4 binary64)) b)

simplify378.0ms (3%)

Memory

28.2MiB live, 666.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 926×	`accelerator-lowering-fma.f32`
8 926×	`accelerator-lowering-fma.f64`
6 590×	`-lowering-.f32`
6 590×	`-lowering-.f64`
1 806×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	1656
1	472	1656
2	1472	1656
3	4134	1656
0	8621	1530

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(* x y)
(+ (* -1/4 (* a b)) (* x y))
(+ (* -1/4 (* a b)) (* x y))
(+ (* -1/4 (* a b)) (* x y))
(* -1/4 (* a b))
(* a (+ (* -1/4 b) (/ (* x y) a)))
(* a (+ (* -1/4 b) (/ (* x y) a)))
(* a (+ (* -1/4 b) (/ (* x y) a)))
(* -1/4 (* a b))
(* -1 (* a (+ (* -1 (/ (* x y) a)) (* 1/4 b))))
(* -1 (* a (+ (* -1 (/ (* x y) a)) (* 1/4 b))))
(* -1 (* a (+ (* -1 (/ (* x y) a)) (* 1/4 b))))
(* x y)
(+ (* -1/4 (* a b)) (* x y))
(+ (* -1/4 (* a b)) (* x y))
(+ (* -1/4 (* a b)) (* x y))
(* -1/4 (* a b))
(* b (+ (* -1/4 a) (/ (* x y) b)))
(* b (+ (* -1/4 a) (/ (* x y) b)))
(* b (+ (* -1/4 a) (/ (* x y) b)))
(* -1/4 (* a b))
(* -1 (* b (+ (* -1 (/ (* x y) b)) (* 1/4 a))))
(* -1 (* b (+ (* -1 (/ (* x y) b)) (* 1/4 a))))
(* -1 (* b (+ (* -1 (/ (* x y) b)) (* 1/4 a))))
(* -1/4 (* a b))
(+ (* -1/4 (* a b)) (* x y))
(+ (* -1/4 (* a b)) (* x y))
(+ (* -1/4 (* a b)) (* x y))
(* x y)
(* x (+ y (* -1/4 (/ (* a b) x))))
(* x (+ y (* -1/4 (/ (* a b) x))))
(* x (+ y (* -1/4 (/ (* a b) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 1/4 (/ (* a b) x)))))
(* -1 (* x (+ (* -1 y) (* 1/4 (/ (* a b) x)))))
(* -1 (* x (+ (* -1 y) (* 1/4 (/ (* a b) x)))))
(* -1/4 (* a b))
(+ (* -1/4 (* a b)) (* x y))
(+ (* -1/4 (* a b)) (* x y))
(+ (* -1/4 (* a b)) (* x y))
(* x y)
(* y (+ x (* -1/4 (/ (* a b) y))))
(* y (+ x (* -1/4 (/ (* a b) y))))
(* y (+ x (* -1/4 (/ (* a b) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* 1/4 (/ (* a b) y)))))
(* -1 (* y (+ (* -1 x) (* 1/4 (/ (* a b) y)))))
(* -1 (* y (+ (* -1 x) (* 1/4 (/ (* a b) y)))))
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
c
(+ c (* x y))
(+ c (* x y))
(+ c (* x y))
(* x y)
(* y (+ x (/ c y)))
(* y (+ x (/ c y)))
(* y (+ x (/ c y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
c
(+ c (* x y))
(+ c (* x y))
(+ c (* x y))
(* x y)
(* x (+ y (/ c x)))
(* x (+ y (/ c x)))
(* x (+ y (/ c x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(* x y)
(+ c (* x y))
(+ c (* x y))
(+ c (* x y))
c
(* c (+ 1 (/ (* x y) c)))
(* c (+ 1 (/ (* x y) c)))
(* c (+ 1 (/ (* x y) c)))
c
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
c
(+ c (* -1/4 (* a b)))
(+ c (* -1/4 (* a b)))
(+ c (* -1/4 (* a b)))
(* -1/4 (* a b))
(* a (+ (* -1/4 b) (/ c a)))
(* a (+ (* -1/4 b) (/ c a)))
(* a (+ (* -1/4 b) (/ c a)))
(* -1/4 (* a b))
(* -1 (* a (+ (* -1 (/ c a)) (* 1/4 b))))
(* -1 (* a (+ (* -1 (/ c a)) (* 1/4 b))))
(* -1 (* a (+ (* -1 (/ c a)) (* 1/4 b))))
c
(+ c (* -1/4 (* a b)))
(+ c (* -1/4 (* a b)))
(+ c (* -1/4 (* a b)))
(* -1/4 (* a b))
(* b (+ (* -1/4 a) (/ c b)))
(* b (+ (* -1/4 a) (/ c b)))
(* b (+ (* -1/4 a) (/ c b)))
(* -1/4 (* a b))
(* -1 (* b (+ (* -1 (/ c b)) (* 1/4 a))))
(* -1 (* b (+ (* -1 (/ c b)) (* 1/4 a))))
(* -1 (* b (+ (* -1 (/ c b)) (* 1/4 a))))
(* -1/4 (* a b))
(+ c (* -1/4 (* a b)))
(+ c (* -1/4 (* a b)))
(+ c (* -1/4 (* a b)))
c
(* c (+ 1 (* -1/4 (/ (* a b) c))))
(* c (+ 1 (* -1/4 (/ (* a b) c))))
(* c (+ 1 (* -1/4 (/ (* a b) c))))
c
(* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))
(* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))
(* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))
(* -1/4 (* a b))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(* 1/16 (* t z))
(* t (+ (* -1/4 (/ (* a b) t)) (* 1/16 z)))
(* t (+ (* -1/4 (/ (* a b) t)) (* 1/16 z)))
(* t (+ (* -1/4 (/ (* a b) t)) (* 1/16 z)))
(* 1/16 (* t z))
(* -1 (* t (+ (* -1/16 z) (* 1/4 (/ (* a b) t)))))
(* -1 (* t (+ (* -1/16 z) (* 1/4 (/ (* a b) t)))))
(* -1 (* t (+ (* -1/16 z) (* 1/4 (/ (* a b) t)))))
(* -1/4 (* a b))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(* 1/16 (* t z))
(* z (+ (* -1/4 (/ (* a b) z)) (* 1/16 t)))
(* z (+ (* -1/4 (/ (* a b) z)) (* 1/16 t)))
(* z (+ (* -1/4 (/ (* a b) z)) (* 1/16 t)))
(* 1/16 (* t z))
(* -1 (* z (+ (* -1/16 t) (* 1/4 (/ (* a b) z)))))
(* -1 (* z (+ (* -1/16 t) (* 1/4 (/ (* a b) z)))))
(* -1 (* z (+ (* -1/16 t) (* 1/4 (/ (* a b) z)))))
(* 1/16 (* t z))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(* -1/4 (* a b))
(* a (+ (* -1/4 b) (* 1/16 (/ (* t z) a))))
(* a (+ (* -1/4 b) (* 1/16 (/ (* t z) a))))
(* a (+ (* -1/4 b) (* 1/16 (/ (* t z) a))))
(* -1/4 (* a b))
(* -1 (* a (+ (* -1/16 (/ (* t z) a)) (* 1/4 b))))
(* -1 (* a (+ (* -1/16 (/ (* t z) a)) (* 1/4 b))))
(* -1 (* a (+ (* -1/16 (/ (* t z) a)) (* 1/4 b))))
(* 1/16 (* t z))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(* -1/4 (* a b))
(* b (+ (* -1/4 a) (* 1/16 (/ (* t z) b))))
(* b (+ (* -1/4 a) (* 1/16 (/ (* t z) b))))
(* b (+ (* -1/4 a) (* 1/16 (/ (* t z) b))))
(* -1/4 (* a b))
(* -1 (* b (+ (* -1/16 (/ (* t z) b)) (* 1/4 a))))
(* -1 (* b (+ (* -1/16 (/ (* t z) b)) (* 1/4 a))))
(* -1 (* b (+ (* -1/16 (/ (* t z) b)) (* 1/4 a))))
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))

Outputs
(* x y)
(*.f64 x y)
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* a (+ (* -1/4 b) (/ (* x y) a)))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* a (+ (* -1/4 b) (/ (* x y) a)))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* a (+ (* -1/4 b) (/ (* x y) a)))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1 (* a (+ (* -1 (/ (* x y) a)) (* 1/4 b))))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* -1 (* a (+ (* -1 (/ (* x y) a)) (* 1/4 b))))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* -1 (* a (+ (* -1 (/ (* x y) a)) (* 1/4 b))))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* x y)
(*.f64 x y)
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* b (+ (* -1/4 a) (/ (* x y) b)))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* b (+ (* -1/4 a) (/ (* x y) b)))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* b (+ (* -1/4 a) (/ (* x y) b)))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1 (* b (+ (* -1 (/ (* x y) b)) (* 1/4 a))))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* -1 (* b (+ (* -1 (/ (* x y) b)) (* 1/4 a))))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* -1 (* b (+ (* -1 (/ (* x y) b)) (* 1/4 a))))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* x y)
(*.f64 x y)
(* x (+ y (* -1/4 (/ (* a b) x))))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* x (+ y (* -1/4 (/ (* a b) x))))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* x (+ y (* -1/4 (/ (* a b) x))))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* 1/4 (/ (* a b) x)))))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* -1 (* x (+ (* -1 y) (* 1/4 (/ (* a b) x)))))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* -1 (* x (+ (* -1 y) (* 1/4 (/ (* a b) x)))))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/4 (/ (* a b) y))))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* y (+ x (* -1/4 (/ (* a b) y))))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* y (+ x (* -1/4 (/ (* a b) y))))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* 1/4 (/ (* a b) y)))))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* -1 (* y (+ (* -1 x) (* 1/4 (/ (* a b) y)))))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* -1 (* y (+ (* -1 x) (* 1/4 (/ (* a b) y)))))
(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
c
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
(* x y)
(*.f64 x y)
(* y (+ x (/ c y)))
(fma.f64 x y c)
(* y (+ x (/ c y)))
(fma.f64 x y c)
(* y (+ x (/ c y)))
(fma.f64 x y c)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(fma.f64 x y c)
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(fma.f64 x y c)
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(fma.f64 x y c)
c
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
(* x y)
(*.f64 x y)
(* x (+ y (/ c x)))
(fma.f64 x y c)
(* x (+ y (/ c x)))
(fma.f64 x y c)
(* x (+ y (/ c x)))
(fma.f64 x y c)
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(fma.f64 x y c)
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(fma.f64 x y c)
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(fma.f64 x y c)
(* x y)
(*.f64 x y)
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
c
(* c (+ 1 (/ (* x y) c)))
(fma.f64 x y c)
(* c (+ 1 (/ (* x y) c)))
(fma.f64 x y c)
(* c (+ 1 (/ (* x y) c)))
(fma.f64 x y c)
c
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(fma.f64 x y c)
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(fma.f64 x y c)
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(fma.f64 x y c)
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
c
(+ c (* -1/4 (* a b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(+ c (* -1/4 (* a b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(+ c (* -1/4 (* a b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* a (+ (* -1/4 b) (/ c a)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* a (+ (* -1/4 b) (/ c a)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* a (+ (* -1/4 b) (/ c a)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1 (* a (+ (* -1 (/ c a)) (* 1/4 b))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1 (* a (+ (* -1 (/ c a)) (* 1/4 b))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1 (* a (+ (* -1 (/ c a)) (* 1/4 b))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
c
(+ c (* -1/4 (* a b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(+ c (* -1/4 (* a b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(+ c (* -1/4 (* a b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* b (+ (* -1/4 a) (/ c b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* b (+ (* -1/4 a) (/ c b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* b (+ (* -1/4 a) (/ c b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1 (* b (+ (* -1 (/ c b)) (* 1/4 a))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1 (* b (+ (* -1 (/ c b)) (* 1/4 a))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1 (* b (+ (* -1 (/ c b)) (* 1/4 a))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(+ c (* -1/4 (* a b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(+ c (* -1/4 (* a b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(+ c (* -1/4 (* a b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
c
(* c (+ 1 (* -1/4 (/ (* a b) c))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* c (+ 1 (* -1/4 (/ (* a b) c))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* c (+ 1 (* -1/4 (/ (* a b) c))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
c
(* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* t (+ (* -1/4 (/ (* a b) t)) (* 1/16 z)))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* t (+ (* -1/4 (/ (* a b) t)) (* 1/16 z)))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* t (+ (* -1/4 (/ (* a b) t)) (* 1/16 z)))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* -1 (* t (+ (* -1/16 z) (* 1/4 (/ (* a b) t)))))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* -1 (* t (+ (* -1/16 z) (* 1/4 (/ (* a b) t)))))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* -1 (* t (+ (* -1/16 z) (* 1/4 (/ (* a b) t)))))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* z (+ (* -1/4 (/ (* a b) z)) (* 1/16 t)))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* z (+ (* -1/4 (/ (* a b) z)) (* 1/16 t)))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* z (+ (* -1/4 (/ (* a b) z)) (* 1/16 t)))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* -1 (* z (+ (* -1/16 t) (* 1/4 (/ (* a b) z)))))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* -1 (* z (+ (* -1/16 t) (* 1/4 (/ (* a b) z)))))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* -1 (* z (+ (* -1/16 t) (* 1/4 (/ (* a b) z)))))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* a (+ (* -1/4 b) (* 1/16 (/ (* t z) a))))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* a (+ (* -1/4 b) (* 1/16 (/ (* t z) a))))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* a (+ (* -1/4 b) (* 1/16 (/ (* t z) a))))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1 (* a (+ (* -1/16 (/ (* t z) a)) (* 1/4 b))))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* -1 (* a (+ (* -1/16 (/ (* t z) a)) (* 1/4 b))))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* -1 (* a (+ (* -1/16 (/ (* t z) a)) (* 1/4 b))))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* b (+ (* -1/4 a) (* 1/16 (/ (* t z) b))))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* b (+ (* -1/4 a) (* 1/16 (/ (* t z) b))))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* b (+ (* -1/4 a) (* 1/16 (/ (* t z) b))))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1 (* b (+ (* -1/16 (/ (* t z) b)) (* 1/4 a))))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* -1 (* b (+ (* -1/16 (/ (* t z) b)) (* 1/4 a))))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* -1 (* b (+ (* -1/16 (/ (* t z) b)) (* 1/4 a))))
(fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))

eval93.0ms (0.8%)

Memory: -19.2MiB live, 225.6MiB allocated
Compiler: Compiled 15 796 to 843 computations (94.7% saved)

prune79.0ms (0.6%)

Memory

31.2MiB live, 184.7MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	645	0	645
Fresh	0	0	0
Picked	0	5	5
Done	0	5	5
Total	645	10	655

Accuracy

100.0%

Counts

655 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.2%	(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 x y))
✓	50.3%	(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 a (*.f64 b #s(literal -1/4 binary64))))
✓	46.6%	(fma.f64 (*.f64 t #s(literal 1/16 binary64)) z c)
✓	52.0%	(fma.f64 y x c)
✓	55.2%	(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y))
✓	44.9%	(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
✓	27.4%	(.f64 (.f64 t z) #s(literal 1/16 binary64))
✓	32.4%	(*.f64 x y)
✓	25.8%	(.f64 a (.f64 b #s(literal -1/4 binary64)))
✓	21.4%	c

Compiler

Compiled 282 to 144 computations (48.9% saved)

regimes139.0ms (1.1%)

Memory

13.3MiB live, 163.6MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x c)
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
(.f64 a (.f64 b #s(literal -1/4 binary64)))
(.f64 (.f64 t z) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(fma.f64 (*.f64 t #s(literal 1/16 binary64)) z c)
(+.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) c)
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) c)
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y))
(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 a (*.f64 b #s(literal -1/4 binary64))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c))
(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (-.f64 (.f64 x y) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (neg.f64 c))))
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)

Outputs
(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (-.f64 (.f64 x y) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (neg.f64 c))))
(.f64 (.f64 t z) #s(literal 1/16 binary64))

Calls

15 calls:

32.0ms	t
19.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)
9.0ms	(/.f64 (*.f64 z t) #s(literal 16 binary64))
8.0ms	(*.f64 a b)
6.0ms	x

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`y`
97.3%	1	`z`
97.3%	1	`t`
97.3%	1	`a`
97.3%	1	`b`
97.3%	1	`c`
98.8%	2	`(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)`
98.8%	2	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))`
97.3%	1	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`
97.3%	1	`(*.f64 x y)`
97.3%	1	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
97.3%	1	`(*.f64 z t)`
97.3%	1	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
97.3%	1	`(*.f64 a b)`

Compiler

Compiled 172 to 138 computations (19.8% saved)

regimes63.0ms (0.5%)

Memory

-17.4MiB live, 96.0MiB allocated

Counts

18 → 3

Calls

Call 1

Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x c)
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
(.f64 a (.f64 b #s(literal -1/4 binary64)))
(.f64 (.f64 t z) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(fma.f64 (*.f64 t #s(literal 1/16 binary64)) z c)
(+.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) c)
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) c)
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y))
(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 a (*.f64 b #s(literal -1/4 binary64))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c))

Outputs

(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))

(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c))

(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))

Calls

8 calls:

15.0ms	y
9.0ms	(*.f64 x y)
8.0ms	a
6.0ms	x
6.0ms	c

Results

Accuracy	Segments	Branch
87.6%	3	`x`
86.0%	3	`y`
86.6%	3	`z`
89.7%	3	`t`
90.1%	3	`a`
86.5%	3	`b`
84.6%	5	`c`
90.6%	3	`(*.f64 x y)`

Compiler

Compiled 66 to 57 computations (13.6% saved)

regimes23.0ms (0.2%)

Memory

11.4MiB live, 45.6MiB allocated

Counts

17 → 3

Calls

Call 1

Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x c)
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
(.f64 a (.f64 b #s(literal -1/4 binary64)))
(.f64 (.f64 t z) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(fma.f64 (*.f64 t #s(literal 1/16 binary64)) z c)
(+.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) c)
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) c)
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y))
(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 a (*.f64 b #s(literal -1/4 binary64))))

Outputs
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))

Calls

3 calls:

11.0ms	t
6.0ms	a
6.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
89.7%	3	`t`
88.2%	3	`a`
81.4%	2	`(*.f64 x y)`

Compiler

Compiled 26 to 22 computations (15.4% saved)

regimes41.0ms (0.3%)

Memory

23.4MiB live, 88.7MiB allocated

Counts

15 → 3

Calls

Call 1

Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x c)
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
(.f64 a (.f64 b #s(literal -1/4 binary64)))
(.f64 (.f64 t z) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(fma.f64 (*.f64 t #s(literal 1/16 binary64)) z c)
(+.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) c)
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) c)
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y))
(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))

Outputs
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y))

Calls

6 calls:

10.0ms	a
9.0ms	z
5.0ms	t
5.0ms	b
5.0ms	x

Results

Accuracy	Segments	Branch
75.5%	1	`y`
81.8%	3	`b`
75.5%	1	`z`
75.5%	1	`x`
85.1%	3	`a`
80.0%	3	`t`

Compiler

Compiled 48 to 42 computations (12.5% saved)

regimes64.0ms (0.5%)

Memory

-39.5MiB live, 103.5MiB allocated

Counts

14 → 3

Calls

Call 1

Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x c)
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
(.f64 a (.f64 b #s(literal -1/4 binary64)))
(.f64 (.f64 t z) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(fma.f64 (*.f64 t #s(literal 1/16 binary64)) z c)
(+.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) c)
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) c)
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y))
(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 x y))

Outputs
(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 x y))
(fma.f64 (*.f64 t #s(literal 1/16 binary64)) z c)
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y))

Calls

8 calls:

26.0ms	a
6.0ms	x
6.0ms	t
5.0ms	c
5.0ms	b

Results

Accuracy	Segments	Branch
70.9%	4	`x`
67.8%	3	`y`
69.5%	4	`z`
73.0%	4	`t`
74.1%	4	`c`
68.9%	3	`b`
73.1%	3	`(*.f64 x y)`
74.2%	4	`a`

Compiler

Compiled 66 to 57 computations (13.6% saved)

regimes10.0ms (0.1%)

Memory

27.3MiB live, 27.3MiB allocated

Counts

13 → 3

Calls

Call 1

Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x c)
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
(.f64 a (.f64 b #s(literal -1/4 binary64)))
(.f64 (.f64 t z) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(fma.f64 (*.f64 t #s(literal 1/16 binary64)) z c)
(+.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) c)
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) c)
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y))

Outputs
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y))
(fma.f64 (*.f64 t #s(literal 1/16 binary64)) z c)
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y))

Calls

2 calls:

4.0ms	(*.f64 x y)
4.0ms	a

Results

Accuracy	Segments	Branch
67.5%	4	`a`
72.6%	3	`(*.f64 x y)`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes23.0ms (0.2%)

Memory

-35.4MiB live, 43.8MiB allocated

Counts

12 → 4

Calls

Call 1

Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x c)
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
(.f64 a (.f64 b #s(literal -1/4 binary64)))
(.f64 (.f64 t z) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(fma.f64 (*.f64 t #s(literal 1/16 binary64)) z c)
(+.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) c)
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) c)

Outputs
(fma.f64 y x c)
(fma.f64 (*.f64 t #s(literal 1/16 binary64)) z c)
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(fma.f64 y x c)

Calls

4 calls:

7.0ms	x
4.0ms	c
4.0ms	t
4.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
67.0%	4	`x`
66.6%	3	`t`
59.1%	4	`c`
70.8%	4	`(*.f64 x y)`

Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes23.0ms (0.2%)

Memory

13.5MiB live, 52.5MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x c)
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
(.f64 a (.f64 b #s(literal -1/4 binary64)))
(.f64 (.f64 t z) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)

Outputs
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(fma.f64 y x c)
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)

Calls

6 calls:

5.0ms	t
4.0ms	z
3.0ms	b
3.0ms	a
3.0ms	y

Results

Accuracy	Segments	Branch
65.6%	3	`a`
63.7%	3	`t`
60.5%	3	`y`
61.0%	3	`z`
60.4%	3	`b`
65.6%	3	`(*.f64 x y)`

Compiler

Compiled 50 to 43 computations (14% saved)

regimes15.0ms (0.1%)

Memory

-5.6MiB live, 33.5MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x c)
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
(.f64 a (.f64 b #s(literal -1/4 binary64)))
(.f64 (.f64 t z) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))

Outputs
(.f64 (.f64 t z) #s(literal 1/16 binary64))
(fma.f64 y x c)
(.f64 (.f64 t z) #s(literal 1/16 binary64))

Calls

4 calls:

5.0ms	t
3.0ms	x
3.0ms	a
3.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
63.7%	3	`t`
56.1%	3	`x`
55.7%	3	`(*.f64 x y)`
62.1%	3	`a`

Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes6.0ms (0%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x c)
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
(.f64 a (.f64 b #s(literal -1/4 binary64)))

Outputs
(.f64 a (.f64 b #s(literal -1/4 binary64)))
(fma.f64 y x c)
(.f64 a (.f64 b #s(literal -1/4 binary64)))

Calls

2 calls:

3.0ms	t
3.0ms	a

Results

Accuracy	Segments	Branch
62.1%	3	`a`
52.0%	1	`t`

Compiler

Compiled 16 to 14 computations (12.5% saved)

regimes21.0ms (0.2%)

Memory

-24.6MiB live, 56.9MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x c)
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)

Outputs
(fma.f64 y x c)

Calls

7 calls:

4.0ms	(*.f64 x y)
3.0ms	z
3.0ms	a
2.0ms	b
2.0ms	c

Results

Accuracy	Segments	Branch
52.0%	1	`(*.f64 x y)`
52.0%	1	`x`
52.0%	1	`c`
52.0%	1	`b`
52.0%	1	`y`
52.0%	1	`z`
52.0%	1	`a`

Compiler

Compiled 58 to 50 computations (13.8% saved)

regimes16.0ms (0.1%)

Memory

14.2MiB live, 53.7MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))

Outputs
c
(*.f64 x y)
c

Calls

8 calls:

3.0ms	b
2.0ms	t
2.0ms	a
2.0ms	z
2.0ms	c

Results

Accuracy	Segments	Branch
32.4%	1	`t`
32.4%	1	`z`
36.3%	2	`b`
42.0%	3	`x`
41.1%	3	`y`
36.6%	2	`a`
44.8%	3	`c`
44.8%	3	`(*.f64 x y)`

Compiler

Compiled 66 to 57 computations (13.6% saved)

regimes10.0ms (0.1%)

Memory

-3.4MiB live, 36.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
c

Outputs
c

Calls

7 calls:

2.0ms	b
1.0ms	y
1.0ms	x
1.0ms	z
1.0ms	c

Results

Accuracy	Segments	Branch
21.4%	1	`t`
21.4%	1	`z`
21.4%	1	`b`
21.4%	1	`a`
21.4%	1	`y`
21.4%	1	`x`
21.4%	1	`c`

Compiler

Compiled 56 to 49 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.691653599507757e-23	1.1239529126933866e-21
0.0ms	-2.537538382628013e+146	-5.685506863664774e+134

Compiler

Compiled 27 to 27 computations (0% saved)

bsearch32.0ms (0.3%)

Memory

-0.5MiB live, 79.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.1096328245104143e+123	6.263196748594356e+130
11.0ms	-1.8802115744873558e-7	-3.485644622384178e-8

Samples

20.0ms

240×

valid

Compiler

Compiled 537 to 387 computations (27.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 4.0ms (34% of total)

ival-mult: 4.0ms (34% of total)

ival-add: 2.0ms (17% of total)

ival-sub: 1.0ms (8.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch67.0ms (0.5%)

Memory

-6.1MiB live, 72.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
48.0ms	2.699565375639158e+30	8.731011192624562e+32
16.0ms	-3.731247801681906e+123	-4.839561408078994e+119

Samples

55.0ms

256×

valid

Compiler

Compiled 539 to 403 computations (25.2% saved)

Precisions

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

ival-mult: 6.0ms (46.8% of total)

ival-div: 3.0ms (23.4% of total)

ival-add: 2.0ms (15.6% of total)

ival-sub: 1.0ms (7.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.772188649835297e-66	8.23059191695219e-65
0.0ms	-0.0002803715963239074	-6.134249586465021e-6

Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.772188649835297e-66	8.23059191695219e-65
0.0ms	-148.08404340381313	-0.0002803715963239074

Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	7.859390748716093e+150	7.749627563651445e+153
0.0ms	5.765155076018072e-231	3.512877649548497e-224
0.0ms	-148.08404340381313	-0.0002803715963239074

Compiler

Compiled 27 to 27 computations (0% saved)

bsearch41.0ms (0.3%)

Memory

-30.9MiB live, 70.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	8.731011192624562e+32	3.0416477743861086e+45
14.0ms	-3.731247801681906e+123	-4.839561408078994e+119

Samples

25.0ms

288×

valid

Compiler

Compiled 495 to 387 computations (21.8% saved)

Precisions

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

ival-mult: 5.0ms (37.8% of total)

ival-div: 4.0ms (30.3% of total)

ival-add: 2.0ms (15.1% of total)

ival-sub: 1.0ms (7.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch131.0ms (1.1%)

Memory

13.0MiB live, 51.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
115.0ms	6.830408876562587e+149	1.906561483283504e+151
13.0ms	-57749983327.796005	-834925940.272445

Samples

120.0ms

224×

valid

Compiler

Compiled 377 to 307 computations (18.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (38.1% of total)

ival-div: 3.0ms (28.6% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch46.0ms (0.4%)

Memory

-4.8MiB live, 72.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	3.0416477743861086e+45	1.0400114827166687e+79
16.0ms	-3.8976901040726483e+176	-3.9642274401082246e+170

Samples

30.0ms

320×

valid

Compiler

Compiled 527 to 427 computations (19% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 6.0ms (40.7% of total)

ival-div: 4.0ms (27.2% of total)

ival-add: 3.0ms (20.4% of total)

ival-sub: 1.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch33.0ms (0.3%)

Memory

17.3MiB live, 58.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.0004592455186418384	0.001093558161389286
21.0ms	-3.260147159274041e+139	-6.176156494632228e+129

Samples

22.0ms

240×

valid

Compiler

Compiled 327 to 282 computations (13.8% saved)

Precisions

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

ival-div: 5.0ms (36.6% of total)

ival-mult: 5.0ms (36.6% of total)

ival-add: 2.0ms (14.7% of total)

ival-sub: 1.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify17.0ms (0.1%)

Memory

2.9MiB live, 41.5MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
20×	`+-commutative_binary64`
18×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	310
1	134	310
2	146	310
3	161	310
4	171	310
5	177	310
6	179	310

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (.f64 a b) #s(literal 4 binary64))) #s(literal +inf.0 binary64)) (fma.f64 (.f64 t #s(literal 1/16 binary64)) z (-.f64 (.f64 x y) (fma.f64 a (.f64 b #s(literal 1/4 binary64)) (neg.f64 c)))) (.f64 (.f64 t z) #s(literal 1/16 binary64)))
(if (<=.f64 (.f64 x y) #s(literal -199999999999999986726733459944924484222039388635692365157852007791239747300286840518597024906650109066035554149860765582115811384854799426355462144 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)) (if (<=.f64 (.f64 x y) #s(literal 4253529586511731/42535295865117307932921825928971026432 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))))
(if (<=.f64 t #s(literal -2380072707366301/18889465931478580854784 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)) (if (<=.f64 t #s(literal 1450000000000000048410607393386505230284972746146096603257608436584107927353394981232591748634851310007551476479303624949760 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))))
(if (<=.f64 a #s(literal -25999999999999998906715523034731352820683711189800486273763608815529801845915937015353806286058601416119539677176581324800 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c) (if (<=.f64 a #s(literal 10499999999999998942151165607936 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y))))
(if (<=.f64 (.f64 x y) #s(literal -7378697629483821/36893488147419103232 binary64)) (fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 4742843975160471/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) (fma.f64 (.f64 t #s(literal 1/16 binary64)) z c) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (*.f64 x y))))
(if (<=.f64 (.f64 x y) #s(literal -100 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 4742843975160471/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) (fma.f64 (.f64 t #s(literal 1/16 binary64)) z c) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (*.f64 x y))))
(if (<=.f64 (.f64 x y) #s(literal -100 binary64)) (fma.f64 y x c) (if (<=.f64 (.f64 x y) #s(literal 8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072 binary64)) (fma.f64 (.f64 t #s(literal 1/16 binary64)) z c) (if (<=.f64 (.f64 x y) #s(literal 10000000000000000171775323872177191180393104084305455107732328445200031262781885420082626742861173182722545959543542834786931126445173006249634549465088 binary64)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c) (fma.f64 y x c))))
(if (<=.f64 a #s(literal -65000000000000001853786039566971405273351068578675097277539000375386752089967521312230267892116119680335955413192826421248 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c) (if (<=.f64 a #s(literal 17199999999999999100815205027642397597630464 binary64)) (fma.f64 y x c) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c)))
(if (<=.f64 t #s(literal -57000000000 binary64)) (.f64 (.f64 t z) #s(literal 1/16 binary64)) (if (<=.f64 t #s(literal 1049999999999999988962860034754329451968323613331891412166240059253280871332490001883104283464506251138225297201529375222126904026096048314827562549248 binary64)) (fma.f64 y x c) (.f64 (.f64 t z) #s(literal 1/16 binary64))))
(if (<=.f64 a #s(literal -21499999999999999176015688238273668926197592623229276627986070009677493337267765936830506570151030123491860370733744893554897626322714315234639039044621078026962890478994849792 binary64)) (.f64 a (.f64 b #s(literal -1/4 binary64))) (if (<=.f64 a #s(literal 479999999999999971166847141746936585452073912660394995974882256625745247862784 binary64)) (fma.f64 y x c) (.f64 a (.f64 b #s(literal -1/4 binary64)))))
(fma.f64 y x c)
(if (<=.f64 c #s(literal -7600000000000000290911872967347975634796002256381238875168874724834053457721338470784771951040187450472341888843055813372179280383967232 binary64)) c (if (<=.f64 c #s(literal 4888387179533031/4611686018427387904 binary64)) (*.f64 x y) c))
c

Outputs
(if (<=.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (.f64 a b) #s(literal 4 binary64))) #s(literal +inf.0 binary64)) (fma.f64 (.f64 t #s(literal 1/16 binary64)) z (-.f64 (.f64 x y) (fma.f64 a (.f64 b #s(literal 1/4 binary64)) (neg.f64 c)))) (.f64 (.f64 t z) #s(literal 1/16 binary64)))
(if (<=.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (.f64 a b) #s(literal 4 binary64))) #s(literal +inf.0 binary64)) (fma.f64 (.f64 t #s(literal 1/16 binary64)) z (-.f64 (.f64 x y) (fma.f64 a (.f64 b #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) c)))) (.f64 #s(literal 1/16 binary64) (.f64 z t)))
(if (<=.f64 (.f64 x y) #s(literal -199999999999999986726733459944924484222039388635692365157852007791239747300286840518597024906650109066035554149860765582115811384854799426355462144 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)) (if (<=.f64 (.f64 x y) #s(literal 4253529586511731/42535295865117307932921825928971026432 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))))
(if (<=.f64 (.f64 x y) #s(literal -199999999999999986726733459944924484222039388635692365157852007791239747300286840518597024906650109066035554149860765582115811384854799426355462144 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 z t) (fma.f64 x y c)) (if (<=.f64 (.f64 x y) #s(literal 4253529586511731/42535295865117307932921825928971026432 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 z t) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))))
(if (<=.f64 t #s(literal -2380072707366301/18889465931478580854784 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)) (if (<=.f64 t #s(literal 1450000000000000048410607393386505230284972746146096603257608436584107927353394981232591748634851310007551476479303624949760 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))))
(if (<=.f64 t #s(literal -2380072707366301/18889465931478580854784 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 z t) (fma.f64 x y c)) (if (<=.f64 t #s(literal 1450000000000000048410607393386505230284972746146096603257608436584107927353394981232591748634851310007551476479303624949760 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)) (fma.f64 #s(literal 1/16 binary64) (*.f64 z t) (fma.f64 x y c))))
(if (<=.f64 a #s(literal -25999999999999998906715523034731352820683711189800486273763608815529801845915937015353806286058601416119539677176581324800 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c) (if (<=.f64 a #s(literal 10499999999999998942151165607936 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y))))
(if (<=.f64 a #s(literal -25999999999999998906715523034731352820683711189800486273763608815529801845915937015353806286058601416119539677176581324800 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c) (if (<=.f64 a #s(literal 10499999999999998942151165607936 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 z t) (fma.f64 x y c)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y))))
(if (<=.f64 (.f64 x y) #s(literal -7378697629483821/36893488147419103232 binary64)) (fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 4742843975160471/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) (fma.f64 (.f64 t #s(literal 1/16 binary64)) z c) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (*.f64 x y))))
(if (<=.f64 (.f64 x y) #s(literal -100 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 4742843975160471/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) (fma.f64 (.f64 t #s(literal 1/16 binary64)) z c) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (*.f64 x y))))
(if (<=.f64 (.f64 x y) #s(literal -100 binary64)) (fma.f64 y x c) (if (<=.f64 (.f64 x y) #s(literal 8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072 binary64)) (fma.f64 (.f64 t #s(literal 1/16 binary64)) z c) (if (<=.f64 (.f64 x y) #s(literal 10000000000000000171775323872177191180393104084305455107732328445200031262781885420082626742861173182722545959543542834786931126445173006249634549465088 binary64)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c) (fma.f64 y x c))))
(if (<=.f64 a #s(literal -65000000000000001853786039566971405273351068578675097277539000375386752089967521312230267892116119680335955413192826421248 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c) (if (<=.f64 a #s(literal 17199999999999999100815205027642397597630464 binary64)) (fma.f64 y x c) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c)))
(if (<=.f64 t #s(literal -57000000000 binary64)) (.f64 (.f64 t z) #s(literal 1/16 binary64)) (if (<=.f64 t #s(literal 1049999999999999988962860034754329451968323613331891412166240059253280871332490001883104283464506251138225297201529375222126904026096048314827562549248 binary64)) (fma.f64 y x c) (.f64 (.f64 t z) #s(literal 1/16 binary64))))
(if (<=.f64 t #s(literal -57000000000 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 z t)) (if (<=.f64 t #s(literal 1049999999999999988962860034754329451968323613331891412166240059253280871332490001883104283464506251138225297201529375222126904026096048314827562549248 binary64)) (fma.f64 y x c) (.f64 #s(literal 1/16 binary64) (.f64 z t))))
(if (<=.f64 a #s(literal -21499999999999999176015688238273668926197592623229276627986070009677493337267765936830506570151030123491860370733744893554897626322714315234639039044621078026962890478994849792 binary64)) (.f64 a (.f64 b #s(literal -1/4 binary64))) (if (<=.f64 a #s(literal 479999999999999971166847141746936585452073912660394995974882256625745247862784 binary64)) (fma.f64 y x c) (.f64 a (.f64 b #s(literal -1/4 binary64)))))
(fma.f64 y x c)
(if (<=.f64 c #s(literal -7600000000000000290911872967347975634796002256381238875168874724834053457721338470784771951040187450472341888843055813372179280383967232 binary64)) c (if (<=.f64 c #s(literal 4888387179533031/4611686018427387904 binary64)) (*.f64 x y) c))
c

soundness2.0s (16.2%)

Memory

4.8MiB live, 985.0MiB allocated

Rules

22 472×	`accelerator-lowering-fma.f32`
22 472×	`accelerator-lowering-fma.f64`
17 544×	`accelerator-lowering-fma.f32`
17 544×	`accelerator-lowering-fma.f64`
16 728×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	3162
1	683	3126
2	2202	3084
3	6755	3078
0	8507	2767
0	229	3173
1	775	3131
2	2431	3089
3	7484	3089
0	8329	2773
0	25	63
1	152	63
2	1533	63
0	8437	60
0	157	1654
1	535	1654
2	1646	1654
3	4376	1618
4	7229	1618
0	8405	1433
0	17	54
1	88	54
2	935	54
0	8616	49

Stop Event

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

Compiler

Compiled 1 000 to 585 computations (41.5% saved)

preprocess146.0ms (1.2%)

Memory

-13.4MiB live, 240.4MiB allocated

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 1 022 to 406 computations (60.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

sample1.2s (9.4%)

preprocess179.0ms (1.4%)

explain181.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify115.0ms (0.9%)

localize44.0ms (0.4%)

series20.0ms (0.2%)

rewrite788.0ms (6.4%)

simplify492.0ms (4%)

eval88.0ms (0.7%)

prune86.0ms (0.7%)

simplify104.0ms (0.8%)

localize91.0ms (0.7%)

series12.0ms (0.1%)

rewrite1.0s (8.2%)

simplify647.0ms (5.2%)

eval432.0ms (3.5%)

prune1.0s (8.2%)

simplify7.0ms (0.1%)

localize55.0ms (0.4%)

series8.0ms (0.1%)

rewrite550.0ms (4.4%)

simplify420.0ms (3.4%)

eval116.0ms (0.9%)

prune79.0ms (0.6%)

simplify7.0ms (0.1%)

localize65.0ms (0.5%)

series8.0ms (0.1%)

rewrite1.1s (8.6%)

simplify378.0ms (3%)

eval93.0ms (0.8%)

prune79.0ms (0.6%)

regimes139.0ms (1.1%)

regimes63.0ms (0.5%)

regimes23.0ms (0.2%)

regimes41.0ms (0.3%)

regimes64.0ms (0.5%)

regimes10.0ms (0.1%)

regimes23.0ms (0.2%)

regimes23.0ms (0.2%)

regimes15.0ms (0.1%)

regimes6.0ms (0%)

regimes21.0ms (0.2%)

regimes16.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch32.0ms (0.3%)

bsearch67.0ms (0.5%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch41.0ms (0.3%)

bsearch131.0ms (1.1%)

bsearch46.0ms (0.4%)

bsearch33.0ms (0.3%)

simplify17.0ms (0.1%)

soundness2.0s (16.2%)

preprocess146.0ms (1.2%)

end0.0ms (0%)

Profiling