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

analyze1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

sample1.3s (13.5%)

Memory

0.4MiB live, 2 107.8MiB allocated

Samples

819.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 514.0ms

ival-mult: 195.0ms (37.9% of total)

ival-div: 111.0ms (21.6% of total)

ival-sub: 102.0ms (19.8% of total)

ival-add: 88.0ms (17.1% of total)

exact: 9.0ms (1.8% of total)

ival-true: 6.0ms (1.2% of total)

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

Bogosity

preprocess173.0ms (1.7%)

Memory

4.8MiB live, 163.5MiB 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 (.f64 t #s(literal 1/16 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 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)

explain226.0ms (2.3%)

Memory

43.6MiB live, 269.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
7	-	-	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))`
2	-	-	`(+.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	7	0
↳	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`	overflow	27
↳	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`	overflow	55
↳	`(*.f64 x y)`	overflow	32
↳	`(*.f64 z t)`	overflow	27
↳	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`	overflow	25
↳	`(*.f64 a b)`	overflow	25
`+.f64`	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`	nan-rescue	2	0
↳	`(*.f64 x y)`	overflow	32
↳	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`	overflow	27
↳	`(*.f64 z t)`	overflow	27

Confusion

	Predicted +	Predicted -
+	9	0
-	0	247

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	9	0	0
-	0	0	247

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	247
1	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms

512×

valid

Compiler

Compiled 190 to 72 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 10.0ms (41.5% of total)

ival-div: 7.0ms (29.1% of total)

ival-add: 4.0ms (16.6% of total)

ival-sub: 2.0ms (8.3% of total)

exact: 1.0ms (4.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 7 to 7 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(+.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)

simplify126.0ms (1.3%)

Memory

-33.7MiB live, 125.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))
✓	cost-diff	128	(+.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	384	(/.f64 (*.f64 a b) #s(literal 4 binary64))
✓	cost-diff	384	(/.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 (.f64 t #s(literal 1/16 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)))
(- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4))
(fma.f64 z (.f64 t #s(literal 1/16 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (*.f64 x y)))
(+ (* x y) (/ (* z t) 16))
(fma.f64 z (.f64 t #s(literal 1/16 binary64)) (.f64 x y))
(* x y)
(*.f64 x y)
x
y
(/ (* z t) 16)
(.f64 z (.f64 t #s(literal 1/16 binary64)))
(* z t)
(*.f64 z t)
z
t
16
#s(literal 16 binary64)
(/ (* a b) 4)
(.f64 a (.f64 b #s(literal 1/4 binary64)))
(* a b)
(*.f64 a b)
a
b
4
#s(literal 4 binary64)
c

localize51.0ms (0.5%)

Memory

-10.1MiB live, 78.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a b)
✓	accuracy	100.0%	(/.f64 (*.f64 z t) #s(literal 16 binary64))
✓	accuracy	99.4%	(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))
✓	accuracy	97.7%	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))

Samples

26.0ms

256×

valid

Compiler

Compiled 71 to 19 computations (73.2% saved)

Precisions

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

ival-mult: 5.0ms (42.5% of total)

ival-div: 3.0ms (25.5% 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)

series18.0ms (0.2%)

Memory

32.7MiB live, 32.7MiB 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
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)
1.0ms	a	@	0	(/ (* a b) 4)

rewrite389.0ms (3.9%)

Memory

-17.1MiB live, 660.3MiB 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 (neg.f64 (*.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 (neg.f64 (*.f64 z t))) #s(literal 16 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.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 (neg.f64 (.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 a (neg.f64 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 a (neg.f64 b))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 a (neg.f64 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 a (neg.f64 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)))
(-.f64 (fma.f64 x y (.f64 (.f64 z t) #s(literal 1/16 binary64))) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (neg.f64 c)))
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(+.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 (neg.f64 (.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 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 (.f64 z t) (.f64 z t)) #s(literal 1/256 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.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 #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 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 (.f64 z t) (.f64 z t)) #s(literal 1/256 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 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 (.f64 z t) (.f64 z t)) #s(literal 1/256 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 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 (.f64 z t) (.f64 z t)) #s(literal 1/256 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 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 (.f64 z t) (.f64 z t)) #s(literal 1/256 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 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 (.f64 z t) (.f64 z t)) #s(literal 1/256 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)

simplify571.0ms (5.7%)

Memory

-7.2MiB live, 607.1MiB 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))
(.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))
(* 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)
(*.f64 x y)
(* 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 (.f64 z #s(literal -1/16 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 (.f64 z #s(literal -1/16 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 (.f64 z #s(literal -1/16 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 a b))) #s(literal 1 binary64))))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) x)))))
(-.f64 (.f64 x y) (.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 (.f64 x y) (.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 (.f64 x y) (.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)
(*.f64 x y)
(* 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 (.f64 z #s(literal -1/16 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 (.f64 z #s(literal -1/16 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 (.f64 z #s(literal -1/16 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 a b))) #s(literal 1 binary64))))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) y)))))
(-.f64 (.f64 x y) (.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 (.f64 x y) (.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 (.f64 x y) (.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))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 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)) (.f64 x y)) #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)) (.f64 x y)) #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)) (.f64 x y)) #s(literal 1 binary64))))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))
(neg.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a b)) (fma.f64 x y c)) #s(literal 1 binary64) (.f64 t (.f64 z #s(literal -1/16 binary64)))))
(* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))
(neg.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a b)) (fma.f64 x y c)) #s(literal 1 binary64) (.f64 t (.f64 z #s(literal -1/16 binary64)))))
(* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))
(neg.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a b)) (fma.f64 x y c)) #s(literal 1 binary64) (.f64 t (.f64 z #s(literal -1/16 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))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 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)) (.f64 x y)) #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)) (.f64 x y)) #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)) (.f64 x y)) #s(literal 1 binary64))))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* -1 (* t (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) t)) (* -1/16 z))))
(neg.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a b)) (fma.f64 x y c)) #s(literal 1 binary64) (.f64 t (.f64 z #s(literal -1/16 binary64)))))
(* -1 (* t (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) t)) (* -1/16 z))))
(neg.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a b)) (fma.f64 x y c)) #s(literal 1 binary64) (.f64 t (.f64 z #s(literal -1/16 binary64)))))
(* -1 (* t (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) t)) (* -1/16 z))))
(neg.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a b)) (fma.f64 x y c)) #s(literal 1 binary64) (.f64 t (.f64 z #s(literal -1/16 binary64)))))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(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 (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(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 (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(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)))
(* -1/4 (* a b))
(.f64 a (.f64 b #s(literal -1/4 binary64)))
(* a (- (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a))) (* 1/4 b)))
(.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 x (/.f64 y a) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 t z) a) (/.f64 c a)))))
(* a (- (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a))) (* 1/4 b)))
(.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 x (/.f64 y a) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 t z) a) (/.f64 c a)))))
(* a (- (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a))) (* 1/4 b)))
(.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 x (/.f64 y a) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 t z) a) (/.f64 c a)))))
(* -1/4 (* a b))
(.f64 a (.f64 b #s(literal -1/4 binary64)))
(* -1 (* a (- (* -1 (/ (+ c (+ (* 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 c)) a)))
(* -1 (* a (- (* -1 (/ (+ c (+ (* 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 c)) a)))
(* -1 (* a (- (* -1 (/ (+ c (+ (* 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 c)) a)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(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 (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(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 (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(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)))
(* -1/4 (* a b))
(.f64 a (.f64 b #s(literal -1/4 binary64)))
(* b (- (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b))) (* 1/4 a)))
(.f64 b (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 t z) b) (fma.f64 a #s(literal -1/4 binary64) (fma.f64 x (/.f64 y b) (/.f64 c b)))))
(* b (- (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b))) (* 1/4 a)))
(.f64 b (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 t z) b) (fma.f64 a #s(literal -1/4 binary64) (fma.f64 x (/.f64 y b) (/.f64 c b)))))
(* b (- (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b))) (* 1/4 a)))
(.f64 b (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 t z) b) (fma.f64 a #s(literal -1/4 binary64) (fma.f64 x (/.f64 y b) (/.f64 c b)))))
(* -1/4 (* a b))
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(* 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))
(* 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))
(* 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)

eval83.0ms (0.8%)

Memory: 18.1MiB live, 173.7MiB allocated
Compiler: Compiled 24 649 to 1 531 computations (93.8% saved)

prune115.0ms (1.1%)

Memory

6.8MiB live, 201.2MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	635	9	644
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	636	9	645

Accuracy

100.0%

Counts

645 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.3%	(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
	68.4%	(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c))
▶	54.4%	(+.f64 (*.f64 x y) c)
▶	46.7%	(+.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) c)
	47.5%	(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) c)
	32.2%	(*.f64 x y)
▶	25.1%	(.f64 a (.f64 b #s(literal -1/4 binary64)))
	25.5%	(.f64 #s(literal 1/16 binary64) (.f64 t z))
▶	23.9%	c

Compiler

Compiled 232 to 180 computations (22.4% saved)

simplify7.0ms (0.1%)

Memory

-24.4MiB live, 14.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 b #s(literal -1/4 binary64))
✓	cost-diff	0	(.f64 a (.f64 b #s(literal -1/4 binary64)))
✓	cost-diff	128	(+.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) c)
✓	cost-diff	0	(*.f64 b #s(literal -1/4 binary64))
✓	cost-diff	0	(.f64 a (.f64 b #s(literal -1/4 binary64)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(+.f64 (*.f64 x y) c)
✓	cost-diff	0	(fma.f64 x y c)
✓	cost-diff	0	(*.f64 b #s(literal -1/4 binary64))
✓	cost-diff	0	(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))

Rules

48×	`accelerator-lowering-fma.f32`
48×	`accelerator-lowering-fma.f64`
28×	`-lowering-.f32`
28×	`-lowering-.f64`
24×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	67
1	22	67
2	34	67
3	36	67
0	36	62

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
c
(+ (* x y) c)
(* x y)
x
y
c
(* a (* b -1/4))
a
(* b -1/4)
b
-1/4
(+ (* a (* b -1/4)) c)
(* a (* b -1/4))
a
(* b -1/4)
b
-1/4
c

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

localize44.0ms (0.4%)

Memory

17.5MiB live, 97.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) c)
✓	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 b #s(literal -1/4 binary64))
✓	accuracy	100.0%	(.f64 a (.f64 b #s(literal -1/4 binary64)))
✓	accuracy	100.0%	(+.f64 (*.f64 x y) c)
✓	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

26.0ms

256×

valid

Compiler

Compiled 66 to 16 computations (75.8% saved)

Precisions

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

ival-mult: 8.0ms (69.5% of total)

ival-add: 3.0ms (26.1% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

7 → 228

Calls

Call 1

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

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 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 (* -1/4 (* 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)))>

Calls

57 calls:

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

rewrite747.0ms (7.5%)

Memory

-32.5MiB live, 778.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 410×	`accelerator-lowering-fma.f32`
11 410×	`accelerator-lowering-fma.f64`
5 302×	`-lowering-.f32`
5 302×	`-lowering-.f64`
3 096×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	55	39
2	486	39
3	7244	39
0	8509	34

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 345

Calls

Call 1

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

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

simplify602.0ms (6%)

Memory

2.2MiB live, 271.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 782×	`accelerator-lowering-fma.f32`
7 782×	`accelerator-lowering-fma.f64`
3 166×	`-lowering-.f32`
3 166×	`-lowering-.f64`
1 530×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1316
1	379	1316
2	1153	1316
3	2923	1316
4	6973	1316
0	8199	1140

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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)))
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 (* -1/4 (* 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)))

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

eval97.0ms (1%)

Memory: 18.2MiB live, 134.6MiB allocated
Compiler: Compiled 15 864 to 767 computations (95.2% saved)

prune79.0ms (0.8%)

Memory

11.4MiB live, 210.7MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	628	3	631
Fresh	0	4	4
Picked	3	2	5
Done	0	0	0
Total	631	9	640

Accuracy

100.0%

Counts

640 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.7%	(fma.f64 (*.f64 b #s(literal -1/4 binary64)) a c)
▶	54.4%	(fma.f64 y x c)
	53.7%	(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
▶	68.4%	(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c))
	47.5%	(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) c)
▶	32.2%	(*.f64 x y)
✓	25.1%	(.f64 a (.f64 b #s(literal -1/4 binary64)))
▶	25.5%	(.f64 #s(literal 1/16 binary64) (.f64 t z))
✓	23.9%	c

Compiler

Compiled 206 to 159 computations (22.8% saved)

simplify12.0ms (0.1%)

Memory

-38.1MiB live, 12.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	71
1	35	71
2	55	71
3	59	71
0	59	66

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize55.0ms (0.5%)

Memory

7.9MiB live, 125.4MiB allocated

Localize:

Found 10 expressions of interest:

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

Samples

32.0ms

256×

valid

Compiler

Compiled 68 to 22 computations (67.6% saved)

Precisions

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

ival-mult: 10.0ms (62.6% of total)

ival-add: 5.0ms (31.3% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

8 → 252

Calls

Call 1

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

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

Calls

63 calls:

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

rewrite446.0ms (4.5%)

Memory

-16.6MiB live, 620.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 780×	`accelerator-lowering-fma.f32`
12 780×	`accelerator-lowering-fma.f64`
6 262×	`-lowering-.f32`
6 262×	`-lowering-.f64`
3 114×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	46
1	83	46
2	575	46
3	7946	46
0	8538	41

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 346

Calls

Call 1

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

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

simplify276.0ms (2.8%)

Memory

34.8MiB live, 458.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 742×	`accelerator-lowering-fma.f32`
9 742×	`accelerator-lowering-fma.f64`
3 332×	`-lowering-.f32`
3 332×	`-lowering-.f64`
1 498×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	1592
1	418	1592
2	1266	1592
3	3305	1580
4	6318	1580
0	8142	1404

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

eval117.0ms (1.2%)

Memory: -8.1MiB live, 117.5MiB allocated
Compiler: Compiled 17 104 to 804 computations (95.3% saved)

prune74.0ms (0.7%)

Memory

11.2MiB live, 128.8MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	636	2	638
Fresh	1	1	2
Picked	1	4	5
Done	0	2	2
Total	638	9	647

Accuracy

100.0%

Counts

647 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.7%	(fma.f64 (*.f64 b #s(literal -1/4 binary64)) a c)
✓	54.4%	(fma.f64 y x c)
▶	53.7%	(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
▶	46.3%	(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 #s(literal -1/4 binary64) (*.f64 a b)))
▶	47.5%	(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
✓	32.2%	(*.f64 x y)
✓	25.1%	(.f64 a (.f64 b #s(literal -1/4 binary64)))
✓	25.5%	(.f64 #s(literal 1/16 binary64) (.f64 t z))
✓	23.9%	c

Compiler

Compiled 111 to 87 computations (21.6% saved)

simplify11.0ms (0.1%)

Memory

-23.9MiB live, 13.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	29	64
2	43	64
3	47	64
0	47	61

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize59.0ms (0.6%)

Memory

19.6MiB live, 91.0MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a b)
✓	accuracy	100.0%	(.f64 #s(literal -1/4 binary64) (.f64 a b))
✓	accuracy	98.8%	(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
✓	accuracy	100.0%	(*.f64 t z)
✓	accuracy	100.0%	(*.f64 a b)
✓	accuracy	100.0%	(.f64 #s(literal -1/4 binary64) (.f64 a b))
✓	accuracy	98.3%	(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 #s(literal -1/4 binary64) (*.f64 a b)))
✓	accuracy	100.0%	(*.f64 t z)
✓	accuracy	100.0%	(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)

Samples

34.0ms

256×

valid

Compiler

Compiled 63 to 19 computations (69.8% saved)

Precisions

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

ival-mult: 8.0ms (71.8% of total)

ival-add: 3.0ms (26.9% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

6 → 204

Calls

Call 1

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

Outputs
#<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 (* 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 (* -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 (* -1/4 (* 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 (* 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)>
#<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 (* 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))))>

Calls

51 calls:

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

rewrite531.0ms (5.3%)

Memory

-15.6MiB live, 589.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 918×	`accelerator-lowering-fma.f32`
11 918×	`accelerator-lowering-fma.f64`
5 678×	`-lowering-.f32`
5 678×	`-lowering-.f64`
2 122×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	38
1	62	38
2	482	38
3	5529	38
0	8290	35

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 278

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) c)
(+.f64 c (.f64 #s(literal 1/16 binary64) (.f64 t z)))
(+.f64 (.f64 (.f64 #s(literal 1/256 binary64) (.f64 t t)) (/.f64 (.f64 z z) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (neg.f64 c)))) (neg.f64 (/.f64 (.f64 c c) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (neg.f64 c)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c))) #s(literal -1 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1/256 binary64) (.f64 t t)) (/.f64 (.f64 z z) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (neg.f64 c)))) (/.f64 (.f64 c c) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (neg.f64 c))))
(-.f64 (/.f64 (.f64 c c) (+.f64 c (.f64 (.f64 t z) #s(literal -1/16 binary64)))) (/.f64 (.f64 t (.f64 z (.f64 (.f64 t z) #s(literal 1/256 binary64)))) (+.f64 c (.f64 (*.f64 t z) #s(literal -1/16 binary64)))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 t (.f64 z (.f64 t z)))) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (neg.f64 c))) (neg.f64 (/.f64 (.f64 c c) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (neg.f64 c)))))
(fma.f64 t (*.f64 #s(literal 1/16 binary64) z) c)
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)
(fma.f64 (.f64 t z) (/.f64 (.f64 (.f64 t z) #s(literal 1/256 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (neg.f64 c))) (neg.f64 (/.f64 (.f64 c c) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (neg.f64 c)))))
(fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (neg.f64 c))) (neg.f64 (/.f64 (.f64 c c) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (neg.f64 c)))))
(fma.f64 (.f64 t (.f64 z (.f64 (.f64 t z) #s(literal 1/256 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (neg.f64 c))) (neg.f64 (/.f64 (.f64 c c) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (neg.f64 c)))))
(fma.f64 (*.f64 #s(literal 1/16 binary64) t) z c)
(fma.f64 (.f64 #s(literal 1/16 binary64) t) (/.f64 (.f64 (.f64 t z) (.f64 #s(literal 1/16 binary64) z)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (neg.f64 c))) (neg.f64 (/.f64 (.f64 c c) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (neg.f64 c)))))
(fma.f64 #s(literal 1/256 binary64) (/.f64 (.f64 t (.f64 z (.f64 t z))) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (neg.f64 c))) (neg.f64 (/.f64 (.f64 c c) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (neg.f64 c)))))
(fma.f64 (.f64 t (.f64 z (.f64 t z))) (/.f64 #s(literal 1/256 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (neg.f64 c))) (neg.f64 (/.f64 (.f64 c c) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (neg.f64 c)))))
(fma.f64 (.f64 #s(literal 1/256 binary64) (.f64 t t)) (/.f64 (.f64 z z) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (neg.f64 c))) (neg.f64 (/.f64 (.f64 c c) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (neg.f64 c)))))
(fma.f64 (.f64 t (.f64 (.f64 t z) #s(literal 1/256 binary64))) (/.f64 z (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (neg.f64 c))) (neg.f64 (/.f64 (.f64 c c) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (neg.f64 c)))))
(fma.f64 (*.f64 #s(literal 1/16 binary64) z) t c)
(fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 t (.f64 z (.f64 t z)))) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (neg.f64 c))) (neg.f64 (/.f64 (.f64 c c) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (neg.f64 c)))))
(fma.f64 (.f64 (.f64 t z) #s(literal 1/256 binary64)) (/.f64 (.f64 t z) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (neg.f64 c))) (neg.f64 (/.f64 (.f64 c c) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (neg.f64 c)))))
(fma.f64 (/.f64 (.f64 t (.f64 z (.f64 (.f64 t z) #s(literal 1/256 binary64)))) (-.f64 (.f64 t (.f64 z (.f64 (.f64 t z) #s(literal 1/256 binary64)))) (.f64 c c))) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c) (neg.f64 (/.f64 (.f64 c c) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (neg.f64 c)))))
(fma.f64 (/.f64 (.f64 t (.f64 z (.f64 (.f64 t z) #s(literal 1/256 binary64)))) (fma.f64 (.f64 #s(literal 1/4096 binary64) (.f64 (.f64 t t) t)) (.f64 z (.f64 z z)) (neg.f64 (.f64 c (.f64 c c))))) (fma.f64 c (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c) (.f64 t (.f64 z (.f64 (.f64 t z) #s(literal 1/256 binary64))))) (neg.f64 (/.f64 (.f64 c c) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (neg.f64 c)))))
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/16 binary64) t))) (exp.f64 (log.f64 z)) c)
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (*.f64 #s(literal 1/16 binary64) t))) c)
(fma.f64 (exp.f64 (log.f64 (*.f64 t z))) (exp.f64 (log.f64 #s(literal 1/16 binary64))) c)
(fma.f64 (exp.f64 (log.f64 #s(literal 1/16 binary64))) (exp.f64 (log.f64 (*.f64 t z))) c)
(fma.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 (*.f64 #s(literal 1/16 binary64) z))) c)
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/16 binary64) z))) (exp.f64 (log.f64 t)) c)
(neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4096 binary64) (.f64 (.f64 t t) t)) (.f64 z (.f64 z z)) (.f64 c (.f64 c c))) (neg.f64 (fma.f64 (.f64 t z) (-.f64 (.f64 (.f64 t z) #s(literal 1/256 binary64)) (.f64 #s(literal 1/16 binary64) c)) (.f64 c c)))))
(neg.f64 (/.f64 (-.f64 (.f64 t (.f64 z (.f64 (.f64 t z) #s(literal 1/256 binary64)))) (.f64 c c)) (fma.f64 (.f64 t z) #s(literal -1/16 binary64) (neg.f64 (neg.f64 c)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/4096 binary64) (.f64 (.f64 t t) t)) (.f64 z (.f64 z z)) (.f64 c (.f64 c c)))) (fma.f64 (.f64 t z) (-.f64 (.f64 (.f64 t z) #s(literal 1/256 binary64)) (.f64 #s(literal 1/16 binary64) c)) (.f64 c c))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (.f64 t (.f64 z (.f64 (.f64 t z) #s(literal 1/256 binary64)))) (.f64 c c))) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (neg.f64 c))))
(/.f64 (fma.f64 (.f64 #s(literal 1/4096 binary64) (.f64 (.f64 t t) t)) (.f64 z (.f64 z z)) (.f64 c (.f64 c c))) (fma.f64 (.f64 t z) (-.f64 (.f64 (.f64 t z) #s(literal 1/256 binary64)) (.f64 #s(literal 1/16 binary64) c)) (.f64 c c)))
(/.f64 (-.f64 (.f64 t (.f64 z (.f64 (.f64 t z) #s(literal 1/256 binary64)))) (.f64 c c)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (neg.f64 c)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/4096 binary64) (.f64 (.f64 t t) t)) (.f64 z (.f64 z z)) (.f64 c (.f64 c c)))) (neg.f64 (fma.f64 (.f64 t z) (-.f64 (.f64 (.f64 t z) #s(literal 1/256 binary64)) (.f64 #s(literal 1/16 binary64) c)) (.f64 c c))))
(/.f64 (neg.f64 (-.f64 (.f64 t (.f64 z (.f64 (.f64 t z) #s(literal 1/256 binary64)))) (.f64 c c))) (fma.f64 (.f64 t z) #s(literal -1/16 binary64) (neg.f64 (neg.f64 c))))
(/.f64 (fma.f64 #s(literal 1/68719476736 binary64) (.f64 (.f64 (.f64 (.f64 t z) (.f64 t (.f64 z (.f64 t z)))) (.f64 (.f64 t z) (.f64 t (.f64 z (.f64 t z))))) (.f64 (.f64 t z) (.f64 t (.f64 z (.f64 t z))))) (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 (.f64 c (.f64 c c)) (.f64 c c))))) (.f64 (fma.f64 (.f64 t z) (-.f64 (.f64 (.f64 t z) #s(literal 1/256 binary64)) (.f64 #s(literal 1/16 binary64) c)) (.f64 c c)) (fma.f64 (.f64 c (.f64 c c)) (-.f64 (.f64 c (.f64 c c)) (.f64 (.f64 #s(literal 1/4096 binary64) (.f64 (.f64 t t) t)) (.f64 z (.f64 z z)))) (.f64 #s(literal 1/16777216 binary64) (.f64 (.f64 (.f64 t z) (.f64 t (.f64 z (.f64 t z)))) (.f64 (.f64 t z) (.f64 t (.f64 z (*.f64 t z)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)) #s(literal 1 binary64)))
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(.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 a (.f64 b (.f64 a b))) (.f64 (.f64 x y) (fma.f64 b (.f64 a #s(literal 1/4 binary64)) (.f64 x y)))) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 a (.f64 b (.f64 a b))) (.f64 (.f64 x y) (fma.f64 b (.f64 a #s(literal 1/4 binary64)) (.f64 x y)))))))
(.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 a (.f64 b (.f64 a b))) (.f64 (.f64 x y) (fma.f64 b (.f64 a #s(literal 1/4 binary64)) (.f64 x y)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 x y)) (fma.f64 #s(literal 1/16 binary64) (.f64 a (.f64 b (.f64 a b))) (.f64 (.f64 x y) (fma.f64 b (.f64 a #s(literal 1/4 binary64)) (*.f64 x y))))))
(.f64 (fma.f64 (.f64 a (.f64 b (.f64 a b))) #s(literal -1/16 binary64) (.f64 x (.f64 y (.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 a #s(literal 1/4 binary64)) (*.f64 x y))))
(.f64 (neg.f64 (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 a (.f64 b (.f64 a b))) (.f64 #s(literal -1/64 binary64) (.f64 a b))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 a (.f64 b (.f64 a b))) (.f64 (.f64 x y) (fma.f64 b (.f64 a #s(literal 1/4 binary64)) (.f64 x y)))))))
(.f64 (neg.f64 (fma.f64 (.f64 a (.f64 b (.f64 a b))) #s(literal -1/16 binary64) (.f64 x (.f64 y (.f64 x y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (.f64 a #s(literal 1/4 binary64)) (*.f64 x y)))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (*.f64 x y)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 a (.f64 b (.f64 a b))) (.f64 (.f64 x y) (fma.f64 b (.f64 a #s(literal 1/4 binary64)) (.f64 x y))))) (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 a (.f64 b (.f64 a b))) (.f64 #s(literal -1/64 binary64) (.f64 a b)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 a #s(literal 1/4 binary64)) (.f64 x y))) (fma.f64 (.f64 a (.f64 b (.f64 a b))) #s(literal -1/16 binary64) (.f64 x (.f64 y (*.f64 x y)))))
(.f64 (fma.f64 (.f64 a b) (.f64 #s(literal 1/16 binary64) (.f64 a b)) (neg.f64 (.f64 x (.f64 y (.f64 x y))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 a b)) (.f64 x y))))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 b (.f64 a b))) #s(literal -1/16 binary64) (.f64 x (.f64 y (.f64 x y)))) (fma.f64 (.f64 a (.f64 b (.f64 a b))) #s(literal -1/16 binary64) (.f64 x (.f64 y (.f64 x y))))) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (*.f64 x y)))
(.f64 (/.f64 (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 a (.f64 b (.f64 a b))) (.f64 #s(literal -1/64 binary64) (.f64 a b)))) (fma.f64 (.f64 x y) (.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 (.f64 a (.f64 b (.f64 a b))) (.f64 #s(literal -1/64 binary64) (.f64 a b))) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 a b)) (.f64 x y)) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 a b)) (.f64 x y))) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 a b)) (.f64 x y)))))) (fma.f64 (.f64 (.f64 a b) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 a b)) (.f64 #s(literal -1/4 binary64) (.f64 x y)))) (-.f64 (.f64 (.f64 a b) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 a b)) (.f64 #s(literal -1/4 binary64) (.f64 x y)))) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (*.f64 x y))))))
(.f64 (/.f64 (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 a (.f64 b (.f64 a b))) (.f64 #s(literal -1/64 binary64) (.f64 a b)))) (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 a (.f64 b (.f64 a b))) (.f64 (.f64 x y) (fma.f64 b (.f64 a #s(literal 1/4 binary64)) (.f64 x y)))) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (.f64 b (.f64 a #s(literal 1/4 binary64))) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 a b)) (.f64 x y)))))) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (.f64 b (.f64 a #s(literal 1/4 binary64))) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 a b)) (*.f64 x y)))))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 b (.f64 a b))) #s(literal -1/16 binary64) (.f64 x (.f64 y (.f64 x y)))) (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 a b) (.f64 a (.f64 b (.f64 a b))))))) (fma.f64 (.f64 a b) (fma.f64 #s(literal 1/16 binary64) (.f64 a b) (.f64 #s(literal -1/4 binary64) (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))))

simplify368.0ms (3.7%)

Memory

-1.6MiB live, 517.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 254×	`accelerator-lowering-fma.f32`
7 254×	`accelerator-lowering-fma.f64`
6 230×	`-lowering-.f32`
6 230×	`-lowering-.f64`
1 700×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	1310
1	393	1310
2	1220	1310
3	3473	1310
4	7396	1310
0	8204	1211

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
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)))
(* 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)
(* -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))))
(* -1/4 (* 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))
(* 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)
(* -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)))))
(* 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))))

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

eval68.0ms (0.7%)

Memory: 14.3MiB live, 129.0MiB allocated
Compiler: Compiled 13 584 to 755 computations (94.4% saved)

prune67.0ms (0.7%)

Memory

1.4MiB live, 160.4MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	573	0	573
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	573	9	582

Accuracy

100.0%

Counts

582 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.7%	(fma.f64 (*.f64 b #s(literal -1/4 binary64)) a c)
✓	54.4%	(fma.f64 y x c)
✓	53.7%	(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
✓	46.3%	(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 #s(literal -1/4 binary64) (*.f64 a b)))
✓	47.5%	(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
✓	32.2%	(*.f64 x y)
✓	25.1%	(.f64 a (.f64 b #s(literal -1/4 binary64)))
✓	25.5%	(.f64 #s(literal 1/16 binary64) (.f64 t z))
✓	23.9%	c

Compiler

Compiled 222 to 123 computations (44.6% saved)

regimes95.0ms (0.9%)

Memory

-36.4MiB live, 236.4MiB allocated

Counts

15 → 2

Calls

Call 1

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

Calls

15 calls:

13.0ms	x
7.0ms	t
7.0ms	(/.f64 (*.f64 z t) #s(literal 16 binary64))
7.0ms	c
6.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))

Results

Accuracy	Segments	Branch
96.5%	1	`x`
96.5%	1	`y`
96.5%	1	`z`
96.5%	1	`t`
96.5%	1	`a`
96.5%	1	`b`
96.5%	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)))`
96.5%	1	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`
98.4%	2	`(*.f64 x y)`
98.0%	2	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
98.0%	2	`(*.f64 z t)`
98.0%	2	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
98.0%	2	`(*.f64 a b)`

Compiler

Compiled 172 to 138 computations (19.8% saved)

regimes287.0ms (2.9%)

Memory

25.1MiB live, 142.6MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

(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 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

15 calls:

195.0ms	(/.f64 (*.f64 z t) #s(literal 16 binary64))
25.0ms	t
6.0ms	(*.f64 x y)
5.0ms	y
5.0ms	b

Results

Accuracy	Segments	Branch
86.8%	3	`x`
87.9%	3	`y`
85.8%	3	`z`
85.8%	3	`t`
77.3%	1	`a`
77.3%	1	`b`
81.1%	3	`c`
77.3%	1	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`
90.2%	3	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
90.2%	3	`(*.f64 z t)`
77.3%	1	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
77.3%	1	`(*.f64 a b)`
91.1%	3	`(*.f64 x y)`
77.3%	1	`(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)`
77.3%	1	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))`

Compiler

Compiled 172 to 138 computations (19.8% saved)

regimes40.0ms (0.4%)

Memory

-14.1MiB live, 25.9MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

(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) c)

Calls

3 calls:

30.0ms	(*.f64 x y)
5.0ms	(*.f64 z t)
5.0ms	(/.f64 (*.f64 z t) #s(literal 16 binary64))

Results

Accuracy	Segments	Branch
89.4%	3	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
89.4%	3	`(*.f64 z t)`
77.3%	1	`(*.f64 x y)`

Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes38.0ms (0.4%)

Memory

-16.4MiB live, 23.3MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	(/.f64 (*.f64 z t) #s(literal 16 binary64))
4.0ms	(*.f64 z t)

Results

Accuracy	Segments	Branch
89.1%	3	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
89.1%	3	`(*.f64 z t)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes88.0ms (0.9%)

Memory

11.0MiB live, 89.3MiB allocated

Counts

11 → 5

Calls

Call 1

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

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

Calls

15 calls:

19.0ms	t
14.0ms	(/.f64 (*.f64 a b) #s(literal 4 binary64))
4.0ms	b
4.0ms	c
4.0ms	a

Results

Accuracy	Segments	Branch
67.6%	3	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`
67.4%	3	`b`
72.3%	4	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
72.3%	4	`(*.f64 a b)`
68.0%	4	`a`
61.6%	3	`(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)`
67.5%	3	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))`
73.1%	5	`(*.f64 x y)`
71.0%	4	`c`
70.0%	5	`t`
66.5%	3	`z`
71.2%	5	`x`
74.6%	5	`y`
75.0%	5	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
75.0%	5	`(*.f64 z t)`

Compiler

Compiled 172 to 138 computations (19.8% saved)

regimes24.0ms (0.2%)

Memory

28.5MiB live, 28.5MiB allocated

Counts

10 → 4

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	y
4.0ms	(*.f64 a b)
4.0ms	(/.f64 (*.f64 z t) #s(literal 16 binary64))
4.0ms	(/.f64 (*.f64 a b) #s(literal 4 binary64))
4.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
71.2%	4	`(*.f64 x y)`
69.8%	4	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
69.8%	4	`(*.f64 a b)`
70.3%	4	`y`
68.7%	3	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
68.7%	3	`(*.f64 z t)`

Compiler

Compiled 62 to 51 computations (17.7% saved)

regimes86.0ms (0.9%)

Memory

-36.2MiB live, 7.1MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

83.0ms	(*.f64 x y)
3.0ms	c

Results

Accuracy	Segments	Branch
58.3%	3	`c`
69.1%	3	`(*.f64 x y)`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes110.0ms (1.1%)

Memory

5.2MiB live, 43.2MiB allocated

Counts

6 → 3

Calls

Call 1

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

10 calls:

85.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))
3.0ms	(/.f64 (*.f64 z t) #s(literal 16 binary64))
3.0ms	b
3.0ms	(/.f64 (*.f64 a b) #s(literal 4 binary64))
3.0ms	x

Results

Accuracy	Segments	Branch
61.1%	2	`b`
54.4%	1	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))`
54.4%	1	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`
57.7%	3	`x`
67.2%	3	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
67.2%	3	`(*.f64 a b)`
57.6%	3	`y`
66.9%	3	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
66.9%	3	`(*.f64 z t)`
57.7%	3	`(*.f64 x y)`

Compiler

Compiled 116 to 93 computations (19.8% saved)

regimes10.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	(/.f64 (*.f64 z t) #s(literal 16 binary64))
2.0ms	(/.f64 (*.f64 a b) #s(literal 4 binary64))
2.0ms	(*.f64 a b)
2.0ms	(*.f64 z t)

Results

Accuracy	Segments	Branch
66.9%	3	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
66.9%	3	`(*.f64 z t)`
54.4%	1	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
54.4%	1	`(*.f64 a b)`

Compiler

Compiled 44 to 36 computations (18.2% saved)

regimes115.0ms (1.2%)

Memory

6.8MiB live, 45.5MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
c
(*.f64 x y)
(fma.f64 y x c)
(+.f64 (*.f64 x y) c)

Outputs
(fma.f64 y x c)

Calls

11 calls:

92.0ms	a
2.0ms	b
2.0ms	t
2.0ms	z
2.0ms	c

Results

Accuracy	Segments	Branch
54.4%	1	`y`
54.4%	1	`x`
54.4%	1	`(*.f64 x y)`
54.4%	1	`c`
54.4%	1	`(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)`
54.4%	1	`b`
54.4%	1	`a`
54.4%	1	`z`
54.4%	1	`t`
54.4%	1	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
54.4%	1	`(*.f64 z t)`

Compiler

Compiled 112 to 92 computations (17.9% saved)

regimes216.0ms (2.2%)

Memory

-24.6MiB live, 53.4MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
c
(*.f64 x y)

Outputs
(*.f64 x y)
c
(*.f64 x y)

Calls

15 calls:

98.0ms	(*.f64 x y)
96.0ms	y
2.0ms	(*.f64 z t)
2.0ms	a
2.0ms	b

Results

Accuracy	Segments	Branch
32.2%	1	`a`
47.5%	3	`(*.f64 x y)`
37.4%	3	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
37.4%	3	`(*.f64 z t)`
34.0%	2	`t`
36.1%	3	`(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)`
44.0%	3	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))`
44.7%	3	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`
32.2%	1	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
32.2%	1	`(*.f64 a b)`
40.8%	3	`x`
32.2%	1	`b`
45.7%	3	`y`
32.2%	1	`z`
43.7%	3	`c`

Compiler

Compiled 172 to 138 computations (19.8% saved)

regimes21.0ms (0.2%)

Memory

30.1MiB live, 30.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
c

Outputs
c

Calls

15 calls:

1.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)
1.0ms	(/.f64 (*.f64 z t) #s(literal 16 binary64))
1.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))
1.0ms	(/.f64 (*.f64 a b) #s(literal 4 binary64))
1.0ms	b

Results

Accuracy	Segments	Branch
23.9%	1	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
23.9%	1	`(*.f64 a b)`
23.9%	1	`a`
23.9%	1	`z`
23.9%	1	`b`
23.9%	1	`t`
23.9%	1	`(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)`
23.9%	1	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
23.9%	1	`(*.f64 z t)`
23.9%	1	`x`
23.9%	1	`c`
23.9%	1	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))`
23.9%	1	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`
23.9%	1	`y`
23.9%	1	`(*.f64 x y)`

Compiler

Compiled 172 to 138 computations (19.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.043825817853967e+38	7.280889133465039e+42
0.0ms	-9.646462103470664e+125	-3.7986019237384713e+123

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	3.027354725419966e+168	6.989742640111525e+179
0.0ms	-9.639977041784075e+151	-1.141871400074578e+132

Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.027354725419966e+168	6.989742640111525e+179
0.0ms	-2.8850556134276277e+122	-9.946119112964925e+114

Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.1447185568417963e-36	1.102113124377902e-31
0.0ms	2.6273643233800093e-217	3.2348512701090776e-195
0.0ms	-2.4571933255746056e-292	-3.0436393310463806e-293
0.0ms	-2.8850556134276277e+122	-9.946119112964925e+114

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	2.043825817853967e+38	7.280889133465039e+42
0.0ms	-6.932867700166973e-192	-2.5256948614174533e-223
0.0ms	-9.646462103470664e+125	-3.7986019237384713e+123

Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.043825817853967e+38	7.280889133465039e+42
0.0ms	-4.292925823396683e+140	-9.968821085574034e+134

Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.123683885005709e+127	1.6218597495937635e+128
0.0ms	-6.818413904955506e+190	-9.280629873571649e+182

Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.027354725419966e+168	6.989742640111525e+179
0.0ms	-3.0748997381552347e+123	-5.927248137704829e+122

Compiler

Compiled 27 to 27 computations (0% saved)

bsearch132.0ms (1.3%)

Memory

1.9MiB live, 79.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	14848551686.920553	361760510344968.1
115.0ms	-3.7567777422481815e+157	-1.5060441470332628e+157

Samples

123.0ms

208×

valid

Compiler

Compiled 261 to 235 computations (10% saved)

Precisions

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

ival-mult: 109.0ms (95.1% of total)

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

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

ival-sub: 1.0ms (0.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify16.0ms (0.2%)

Memory

2.6MiB live, 41.5MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
16×	`+-commutative_binary64`
12×	`sub-neg_binary64`
12×	`if-if-or-not_binary32`
10×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	327
1	116	327
2	125	327
3	137	327
4	146	327
5	152	327
6	154	327

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)) (+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (.f64 a b) #s(literal 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 -499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)) (if (<=.f64 (.f64 x y) #s(literal 399999999999999990995239293824136118272 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 z t) #s(literal -50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 #s(literal -1/4 binary64) (.f64 a b))) (if (<=.f64 (.f64 z t) #s(literal 4999999999999999669302474173714872811859751082151657593058464111538503233498018238128462162979229735854572772998492607377696904067224063966397292527018643087471925002240 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) c)))
(if (<=.f64 (.f64 z t) #s(literal -200000000000000002881189517449054771166223724485662526027424629870997854138252263253726515251452912161010874366592467075072 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c) (if (<=.f64 (.f64 z t) #s(literal 4999999999999999669302474173714872811859751082151657593058464111538503233498018238128462162979229735854572772998492607377696904067224063966397292527018643087471925002240 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) c)))
(if (<=.f64 (.f64 z t) #s(literal -200000000000000002881189517449054771166223724485662526027424629870997854138252263253726515251452912161010874366592467075072 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c) (if (<=.f64 (.f64 z t) #s(literal -2247116418577895/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) (fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b))) (if (<=.f64 (.f64 z t) #s(literal 1552518092300709/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (if (<=.f64 (.f64 z t) #s(literal 2993155353253689/1496577676626844588240573268701473812127674924007424 binary64)) (fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b))) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)))))
(if (<=.f64 (.f64 x y) #s(literal -499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (fma.f64 y x c) (if (<=.f64 (.f64 x y) #s(literal -802633041618099/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (if (<=.f64 (.f64 x y) #s(literal 399999999999999990995239293824136118272 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c) (fma.f64 y x c))))
(if (<=.f64 (.f64 x y) #s(literal -400000000000000023713520496325948014825449955068181315459400297931998311313895922608093186032072498276607168949173531792918788654058329604096 binary64)) (fma.f64 y x c) (if (<=.f64 (.f64 x y) #s(literal 399999999999999990995239293824136118272 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c) (fma.f64 y x c)))
(if (<=.f64 (.f64 a b) #s(literal -50000000000000003627958579865938918051517121439056864122841719919860508624603445372260340908716209758703129884343378605806673765818187068857451828900196608961063122591263461604016054977167360 binary64)) (.f64 a (.f64 b #s(literal -1/4 binary64))) (if (<=.f64 (.f64 a b) #s(literal 39999999999999998197164267139917894381200900349534096473918503930071541801164698488617560609192229203475089509547797243664269312 binary64)) (fma.f64 y x c) (.f64 a (.f64 b #s(literal -1/4 binary64)))))
(if (<=.f64 (.f64 z t) #s(literal -1999999999999999955419939462808259340115968595189843154784166645324982581779679772155733117683015263369515044141902701002752 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 t z)) (if (<=.f64 (.f64 z t) #s(literal 4999999999999999669302474173714872811859751082151657593058464111538503233498018238128462162979229735854572772998492607377696904067224063966397292527018643087471925002240 binary64)) (fma.f64 y x c) (.f64 #s(literal 1/16 binary64) (.f64 t z))))
(fma.f64 y x c)
(if (<=.f64 (.f64 x y) #s(literal -23999999999999999600620325356601321149448934600419292872808182747051242020024301308755469046702529802029697320264714521620828176355949769603172248887826055168 binary64)) (.f64 x y) (if (<=.f64 (.f64 x y) #s(literal 70000000000000 binary64)) c (.f64 x y)))
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)) (+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (.f64 a b) #s(literal 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 -499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)) (if (<=.f64 (.f64 x y) #s(literal 399999999999999990995239293824136118272 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 -499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)) (if (<=.f64 (.f64 x y) #s(literal 399999999999999990995239293824136118272 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 (.f64 z t) #s(literal -50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 #s(literal -1/4 binary64) (.f64 a b))) (if (<=.f64 (.f64 z t) #s(literal 4999999999999999669302474173714872811859751082151657593058464111538503233498018238128462162979229735854572772998492607377696904067224063966397292527018643087471925002240 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) c)))
(if (<=.f64 (.f64 z t) #s(literal -50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 z t) (.f64 (.f64 a b) #s(literal -1/4 binary64))) (if (<=.f64 (.f64 z t) #s(literal 4999999999999999669302474173714872811859751082151657593058464111538503233498018238128462162979229735854572772998492607377696904067224063966397292527018643087471925002240 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) c)))
(if (<=.f64 (.f64 z t) #s(literal -200000000000000002881189517449054771166223724485662526027424629870997854138252263253726515251452912161010874366592467075072 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c) (if (<=.f64 (.f64 z t) #s(literal 4999999999999999669302474173714872811859751082151657593058464111538503233498018238128462162979229735854572772998492607377696904067224063966397292527018643087471925002240 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) c)))
(if (<=.f64 (.f64 z t) #s(literal -200000000000000002881189517449054771166223724485662526027424629870997854138252263253726515251452912161010874366592467075072 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 z t) c) (if (<=.f64 (.f64 z t) #s(literal 4999999999999999669302474173714872811859751082151657593058464111538503233498018238128462162979229735854572772998492607377696904067224063966397292527018643087471925002240 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) c)))
(if (<=.f64 (.f64 z t) #s(literal -200000000000000002881189517449054771166223724485662526027424629870997854138252263253726515251452912161010874366592467075072 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c) (if (<=.f64 (.f64 z t) #s(literal -2247116418577895/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) (fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b))) (if (<=.f64 (.f64 z t) #s(literal 1552518092300709/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (if (<=.f64 (.f64 z t) #s(literal 2993155353253689/1496577676626844588240573268701473812127674924007424 binary64)) (fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b))) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)))))
(if (<=.f64 (.f64 z t) #s(literal -200000000000000002881189517449054771166223724485662526027424629870997854138252263253726515251452912161010874366592467075072 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 z t) c) (if (<=.f64 (.f64 z t) #s(literal -2247116418577895/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) (fma.f64 x y (.f64 (.f64 a b) #s(literal -1/4 binary64))) (if (<=.f64 (.f64 z t) #s(literal 1552518092300709/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (if (<=.f64 (.f64 z t) #s(literal 2993155353253689/1496577676626844588240573268701473812127674924007424 binary64)) (fma.f64 x y (.f64 (.f64 a b) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 z t) c)))))
(if (<=.f64 (.f64 x y) #s(literal -499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (fma.f64 y x c) (if (<=.f64 (.f64 x y) #s(literal -802633041618099/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (if (<=.f64 (.f64 x y) #s(literal 399999999999999990995239293824136118272 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c) (fma.f64 y x c))))
(if (<=.f64 (.f64 x y) #s(literal -499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (fma.f64 y x c) (if (<=.f64 (.f64 x y) #s(literal -802633041618099/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (if (<=.f64 (.f64 x y) #s(literal 399999999999999990995239293824136118272 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 z t) c) (fma.f64 y x c))))
(if (<=.f64 (.f64 x y) #s(literal -400000000000000023713520496325948014825449955068181315459400297931998311313895922608093186032072498276607168949173531792918788654058329604096 binary64)) (fma.f64 y x c) (if (<=.f64 (.f64 x y) #s(literal 399999999999999990995239293824136118272 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c) (fma.f64 y x c)))
(if (<=.f64 (.f64 x y) #s(literal -400000000000000023713520496325948014825449955068181315459400297931998311313895922608093186032072498276607168949173531792918788654058329604096 binary64)) (fma.f64 y x c) (if (<=.f64 (.f64 x y) #s(literal 399999999999999990995239293824136118272 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 z t) c) (fma.f64 y x c)))
(if (<=.f64 (.f64 a b) #s(literal -50000000000000003627958579865938918051517121439056864122841719919860508624603445372260340908716209758703129884343378605806673765818187068857451828900196608961063122591263461604016054977167360 binary64)) (.f64 a (.f64 b #s(literal -1/4 binary64))) (if (<=.f64 (.f64 a b) #s(literal 39999999999999998197164267139917894381200900349534096473918503930071541801164698488617560609192229203475089509547797243664269312 binary64)) (fma.f64 y x c) (.f64 a (.f64 b #s(literal -1/4 binary64)))))
(if (<=.f64 (.f64 z t) #s(literal -1999999999999999955419939462808259340115968595189843154784166645324982581779679772155733117683015263369515044141902701002752 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 t z)) (if (<=.f64 (.f64 z t) #s(literal 4999999999999999669302474173714872811859751082151657593058464111538503233498018238128462162979229735854572772998492607377696904067224063966397292527018643087471925002240 binary64)) (fma.f64 y x c) (.f64 #s(literal 1/16 binary64) (.f64 t z))))
(if (<=.f64 (.f64 z t) #s(literal -1999999999999999955419939462808259340115968595189843154784166645324982581779679772155733117683015263369515044141902701002752 binary64)) (.f64 (.f64 z t) #s(literal 1/16 binary64)) (if (<=.f64 (.f64 z t) #s(literal 4999999999999999669302474173714872811859751082151657593058464111538503233498018238128462162979229735854572772998492607377696904067224063966397292527018643087471925002240 binary64)) (fma.f64 y x c) (.f64 (.f64 z t) #s(literal 1/16 binary64))))
(fma.f64 y x c)
(if (<=.f64 (.f64 x y) #s(literal -23999999999999999600620325356601321149448934600419292872808182747051242020024301308755469046702529802029697320264714521620828176355949769603172248887826055168 binary64)) (.f64 x y) (if (<=.f64 (.f64 x y) #s(literal 70000000000000 binary64)) c (.f64 x y)))
c

soundness1.5s (14.7%)

Memory

-5.0MiB live, 876.8MiB allocated

Rules

17 544×	`accelerator-lowering-fma.f32`
17 544×	`accelerator-lowering-fma.f64`
11 410×	`accelerator-lowering-fma.f32`
11 410×	`accelerator-lowering-fma.f64`
9 742×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1316
1	379	1316
2	1153	1316
3	2923	1316
4	6973	1316
0	8199	1140
0	203	3162
1	683	3126
2	2202	3084
3	6755	3078
0	8507	2767
0	12	39
1	55	39
2	486	39
3	7244	39
0	8509	34
0	128	1592
1	418	1592
2	1266	1592
3	3305	1580
4	6318	1580
0	8142	1404

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

Compiler

Compiled 882 to 473 computations (46.4% saved)

preprocess452.0ms (4.5%)

Memory

-6.0MiB live, 188.4MiB allocated

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 1 074 to 346 computations (67.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

sample1.3s (13.5%)

preprocess173.0ms (1.7%)

explain226.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify126.0ms (1.3%)

localize51.0ms (0.5%)

series18.0ms (0.2%)

rewrite389.0ms (3.9%)

simplify571.0ms (5.7%)

eval83.0ms (0.8%)

prune115.0ms (1.1%)

simplify7.0ms (0.1%)

localize44.0ms (0.4%)

series7.0ms (0.1%)

rewrite747.0ms (7.5%)

simplify602.0ms (6%)

eval97.0ms (1%)

prune79.0ms (0.8%)

simplify12.0ms (0.1%)

localize55.0ms (0.5%)

series6.0ms (0.1%)

rewrite446.0ms (4.5%)

simplify276.0ms (2.8%)

eval117.0ms (1.2%)

prune74.0ms (0.7%)

simplify11.0ms (0.1%)

localize59.0ms (0.6%)

series4.0ms (0%)

rewrite531.0ms (5.3%)

simplify368.0ms (3.7%)

eval68.0ms (0.7%)

prune67.0ms (0.7%)

regimes95.0ms (0.9%)

regimes287.0ms (2.9%)

regimes40.0ms (0.4%)

regimes38.0ms (0.4%)

regimes88.0ms (0.9%)

regimes24.0ms (0.2%)

regimes86.0ms (0.9%)

regimes110.0ms (1.1%)

regimes10.0ms (0.1%)

regimes115.0ms (1.2%)

regimes216.0ms (2.2%)

regimes21.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch132.0ms (1.3%)

simplify16.0ms (0.2%)

soundness1.5s (14.7%)

preprocess452.0ms (4.5%)

end0.0ms (0%)

Profiling