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

analyze1.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample1.5s (14.7%)

Memory

10.0MiB live, 1 347.3MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 654.0ms

ival-mult: 356.0ms (54.5% of total)

ival-div: 150.0ms (22.9% of total)

ival-add: 77.0ms (11.8% of total)

ival-sub: 54.0ms (8.3% of total)

exact: 9.0ms (1.4% of total)

ival-true: 6.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess176.0ms (1.7%)

Memory

16.6MiB live, 169.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2 224×	`lower-fma.f64`
2 224×	`lower-fma.f32`
1 602×	`sub-neg`
838×	`distribute-neg-in`
762×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	614
1	475	605
2	1302	595
3	3620	595
4	6066	595
0	17	17
0	25	17
1	40	17
2	85	17
3	175	17
4	328	17
5	647	17
6	1078	17
7	1661	17
8	2024	17
9	2114	17
10	2151	17
11	2151	17
12	2151	17
13	2152	17
0	2152	14

Stop Event

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

Calls

Call 1

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

Symmetry

(sort x y)

(sort z t)

(sort a b)

explain263.0ms (2.6%)

Memory

13.2MiB live, 291.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
4	-	-	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`
3	-	-	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 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 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`	nan-rescue	4	0
↳	`(*.f64 x y)`	overflow	30
↳	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`	overflow	37
↳	`(*.f64 z t)`	overflow	37
`-.f64`	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))`	nan-rescue	3	0
↳	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`	overflow	37
↳	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`	overflow	59
↳	`(*.f64 x y)`	overflow	30
↳	`(*.f64 z t)`	overflow	37
↳	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`	overflow	23
↳	`(*.f64 a b)`	overflow	23

Confusion

	Predicted +	Predicted -
+	7	0
-	0	249

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	249
1	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

133.0ms

512×

valid

Compiler

Compiled 190 to 72 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 14.0ms (49.2% of total)

ival-div: 7.0ms (24.6% of total)

ival-add: 4.0ms (14.1% of total)

ival-sub: 2.0ms (7% of total)

exact: 1.0ms (3.5% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify109.0ms (1.1%)

Memory

4.3MiB live, 128.1MiB 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×	`lower-fma.f64`
2 224×	`lower-fma.f32`
640×	`lower-*.f32`
634×	`lower-*.f64`
576×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	69
0	25	69
1	40	69
2	85	69
3	175	69
4	328	69
5	647	69
6	1078	69
7	1661	69
8	2024	69
9	2114	69
10	2151	69
11	2151	69
12	2151	69
13	2152	69
0	2152	63

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize45.0ms (0.4%)

Memory

-14.8MiB live, 105.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 a b)
✓	accuracy	98.9%	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))
✓	accuracy	98.6%	(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 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 (42.9% of total)

ival-div: 3.0ms (25.7% of total)

ival-add: 2.0ms (17.1% of total)

ival-sub: 1.0ms (8.6% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.2%)

Memory

1.9MiB live, 40.3MiB allocated

Counts

7 → 300

Calls

Call 1

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

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)>
#<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)>

Calls

75 calls:

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

rewrite395.0ms (3.8%)

Memory

-18.0MiB live, 673.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 364×	`lower-*.f32`
5 358×	`lower-*.f64`
4 844×	`lower-/.f32`
4 840×	`lower-/.f64`
4 258×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	57
0	25	57
1	96	57
2	943	57
0	8624	52

Stop Event

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

Counts

7 → 370

Calls

Call 1

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

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

simplify422.0ms (4.1%)

Memory

2.2MiB live, 760.0MiB allocated

Algorithm

1×	egg-herbie

Rules

17 544×	`lower-fma.f64`
17 544×	`lower-fma.f32`
4 640×	`lower-*.f64`
4 640×	`lower-*.f32`
2 338×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	3234
1	683	3198
2	2202	3156
3	6755	3150
0	8507	2839

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 298

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)
(* 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)

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

eval130.0ms (1.3%)

Memory: 19.7MiB live, 220.5MiB allocated
Compiler: Compiled 25 089 to 1 538 computations (93.9% saved)

prune149.0ms (1.4%)

Memory

-0.3MiB live, 202.4MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	658	10	668
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	659	10	669

Accuracy

100.0%

Counts

669 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.0%	(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
▶	76.8%	(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
	75.8%	(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c))
▶	98.4%	(+.f64 (fma.f64 (.f64 t #s(literal 1/16 binary64)) z (fma.f64 x y (.f64 (*.f64 a b) #s(literal -1/4 binary64)))) c)
	50.7%	(+.f64 (*.f64 x y) c)
	47.3%	(+.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) c)
▶	54.7%	(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) c)
▶	27.5%	(*.f64 x y)
	24.0%	(.f64 a (.f64 b #s(literal -1/4 binary64)))
▶	31.6%	(.f64 #s(literal 1/16 binary64) (.f64 t z))

Compiler

Compiled 292 to 218 computations (25.3% saved)

simplify11.0ms (0.1%)

Memory

-7.3MiB live, 31.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x y c)
✓	cost-diff	0	(*.f64 t z)
✓	cost-diff	0	(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
✓	cost-diff	0	(*.f64 t z)
✓	cost-diff	0	(.f64 #s(literal 1/16 binary64) (.f64 t z))
✓	cost-diff	128	(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) c)
✓	cost-diff	0	(*.f64 t z)
✓	cost-diff	0	(.f64 #s(literal 1/16 binary64) (.f64 t z))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(fma.f64 x y (.f64 (.f64 a b) #s(literal -1/4 binary64)))
✓	cost-diff	0	(*.f64 t #s(literal 1/16 binary64))
✓	cost-diff	0	(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (fma.f64 x y (.f64 (*.f64 a b) #s(literal -1/4 binary64))))
✓	cost-diff	128	(+.f64 (fma.f64 (.f64 t #s(literal 1/16 binary64)) z (fma.f64 x y (.f64 (*.f64 a b) #s(literal -1/4 binary64)))) c)

Rules

196×	`lower-fma.f32`
188×	`lower-fma.f64`
100×	`lower-+.f32`
96×	`lower-+.f64`
52×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	113
0	34	113
1	62	113
2	94	113
3	123	113
4	127	113
0	127	111

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize69.0ms (0.7%)

Memory

9.1MiB live, 166.0MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x y c)
✓	accuracy	100.0%	(*.f64 t z)
✓	accuracy	98.6%	(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) c)
✓	accuracy	100.0%	(*.f64 t z)
✓	accuracy	100.0%	(.f64 #s(literal 1/16 binary64) (.f64 t z))
✓	accuracy	100.0%	(*.f64 t z)
✓	accuracy	100.0%	(.f64 #s(literal 1/16 binary64) (.f64 t z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 t #s(literal 1/16 binary64))
✓	accuracy	100.0%	(*.f64 a b)
✓	accuracy	99.6%	(fma.f64 x y (.f64 (.f64 a b) #s(literal -1/4 binary64)))
✓	accuracy	98.8%	(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (fma.f64 x y (.f64 (*.f64 a b) #s(literal -1/4 binary64))))

Samples

40.0ms

256×

valid

Compiler

Compiled 115 to 24 computations (79.1% saved)

Precisions

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

ival-mult: 12.0ms (56.5% of total)

ival-add: 8.0ms (37.7% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.1%)

Memory

-1.2MiB live, 37.8MiB allocated

Counts

11 → 444

Calls

Call 1

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

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

111 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+ (+ (* (* t 1/16) z) (+ (* x y) (* (* a b) -1/4))) c)
0.0ms	t	@	0	(+ (+ (* (* t 1/16) z) (+ (* x y) (* (* a b) -1/4))) c)
0.0ms	t	@	-inf	(* t 1/16)
0.0ms	x	@	inf	(+ (* x y) (* (* a b) -1/4))
0.0ms	t	@	inf	(* t 1/16)

rewrite674.0ms (6.6%)

Memory

-32.0MiB live, 893.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

14 864×	`lower-fma.f32`
14 856×	`lower-fma.f64`
4 464×	`lower-*.f32`
4 452×	`lower-*.f64`
3 754×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	73
0	34	73
1	132	73
2	1063	73
0	8130	71

Stop Event

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

Counts

11 → 472

Calls

Call 1

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

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

simplify736.0ms (7.2%)

Memory

9.0MiB live, 602.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 104×	`lower-fma.f64`
14 104×	`lower-fma.f32`
5 286×	`lower-*.f64`
5 286×	`lower-*.f32`
3 506×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	273	4468
1	965	4420
2	3219	4378
3	6756	4378
0	8142	3954

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 432

Calls

Call 1

Inputs
(+ c (+ (* -1/4 (* a b)) (* 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))))
(* 1/16 (* t z))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t)))))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t)))))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t)))))
(* 1/16 (* t z))
(* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))
(+ c (+ (* -1/4 (* a b)) (* 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))))
(* 1/16 (* t z))
(* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z)))))
(* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z)))))
(* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z)))))
(* 1/16 (* t z))
(* -1 (* z (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) z)) (* -1/16 t))))
(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
(+ 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))))
(* x y)
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (+ (* 1/16 (/ (* t z) x)) (/ c x)))))
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (+ (* 1/16 (/ (* t z) x)) (/ c x)))))
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (+ (* 1/16 (/ (* t z) x)) (/ c x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) x)))))
(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
(+ 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))))
(* x y)
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (+ (* 1/16 (/ (* t z) y)) (/ c y)))))
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (+ (* 1/16 (/ (* t z) y)) (/ c y)))))
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (+ (* 1/16 (/ (* t z) y)) (/ c y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) y)))))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(* -1/4 (* a b))
(* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a)))))
(* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a)))))
(* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a)))))
(* -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 (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b)))))
(* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b)))))
(* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b)))))
(* -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))))
(+ (* -1/4 (* 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))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
c
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c)))))
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c)))))
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c)))))
c
(* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))) c)) 1)))
(+ (* -1/4 (* a b)) (* 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)))
(* 1/16 (* t z))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (/ (* x y) t))))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (/ (* x y) t))))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (/ (* x y) t))))
(* 1/16 (* t z))
(* -1 (* t (+ (* -1 (/ (+ (* -1/4 (* a b)) (* x y)) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (+ (* -1/4 (* a b)) (* x y)) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (+ (* -1/4 (* a b)) (* x y)) t)) (* -1/16 z))))
(+ (* -1/4 (* a b)) (* 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)))
(* 1/16 (* t z))
(* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (/ (* x y) z))))
(* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (/ (* x y) z))))
(* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (/ (* x y) z))))
(* 1/16 (* t z))
(* -1 (* z (+ (* -1 (/ (+ (* -1/4 (* a b)) (* x y)) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (+ (* -1/4 (* a b)) (* x y)) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (+ (* -1/4 (* a b)) (* x y)) z)) (* -1/16 t))))
(+ (* -1/4 (* a b)) (* 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)))
(* x y)
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (* 1/16 (/ (* t z) x)))))
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (* 1/16 (/ (* t z) x)))))
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (* 1/16 (/ (* t z) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* -1/4 (* a b)) (* 1/16 (* t z))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* -1/4 (* a b)) (* 1/16 (* t z))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* -1/4 (* a b)) (* 1/16 (* t z))) x)))))
(+ (* -1/4 (* a b)) (* 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)))
(* x y)
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (* 1/16 (/ (* t z) y)))))
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (* 1/16 (/ (* t z) y)))))
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (* 1/16 (/ (* t z) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* -1/4 (* a b)) (* 1/16 (* t z))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* -1/4 (* a b)) (* 1/16 (* t z))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* -1/4 (* a b)) (* 1/16 (* t z))) y)))))
(+ (* 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 (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (/ (* x y) a))))
(* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (/ (* x y) a))))
(* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (/ (* x y) a))))
(* -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 (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (/ (* x y) b))))
(* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (/ (* x y) b))))
(* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (/ (* x y) b))))
(* -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)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* -1/4 (* a b))
(+ (* -1/4 (* a b)) (* 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))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
c
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
(* 1/16 (* t z))
(* t (+ (* 1/16 z) (/ c t)))
(* t (+ (* 1/16 z) (/ c t)))
(* t (+ (* 1/16 z) (/ c t)))
(* 1/16 (* t z))
(* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))
c
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
(* 1/16 (* t z))
(* z (+ (* 1/16 t) (/ c z)))
(* z (+ (* 1/16 t) (/ c z)))
(* z (+ (* 1/16 t) (/ c z)))
(* 1/16 (* t z))
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(* 1/16 (* t z))
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
c
(* c (+ 1 (* 1/16 (/ (* t z) c))))
(* c (+ 1 (* 1/16 (/ (* t z) c))))
(* c (+ 1 (* 1/16 (/ (* t z) c))))
c
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(+ c (* x y))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(* 1/16 (* t z))
(* t (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))))
(* t (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))))
(* t (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))))
(* 1/16 (* t z))
(* -1 (* t (+ (* -1 (/ (+ c (* x y)) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (+ c (* x y)) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (+ c (* x y)) t)) (* -1/16 z))))
(+ c (* x y))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(* 1/16 (* t z))
(* z (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))))
(* z (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))))
(* z (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))))
(* 1/16 (* t z))
(* -1 (* z (+ (* -1 (/ (+ c (* x y)) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (+ c (* x y)) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (+ c (* x y)) z)) (* -1/16 t))))
(+ c (* 1/16 (* t z)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(* x y)
(* x (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))))
(* x (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))))
(* x (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (* 1/16 (* t z))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (* 1/16 (* t z))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (* 1/16 (* t z))) x)))))
(+ c (* 1/16 (* t z)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(* x y)
(* y (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))))
(* y (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))))
(* y (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (* 1/16 (* t z))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (* 1/16 (* t z))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (* 1/16 (* t z))) y)))))
(+ (* 1/16 (* t z)) (* x y))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
c
(* c (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))))
(* c (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))))
(* c (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))))
c
(* -1 (* c (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ (* 1/16 (* t z)) (* 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)))
(* 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
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 x y c))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 x y 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) (/ (* x y) t)))))
(.f64 t (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a b) t) (fma.f64 #s(literal 1/16 binary64) z (fma.f64 y (/.f64 x t) (/.f64 c t)))))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t)))))
(.f64 t (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a b) t) (fma.f64 #s(literal 1/16 binary64) z (fma.f64 y (/.f64 x t) (/.f64 c t)))))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t)))))
(.f64 t (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a b) t) (fma.f64 #s(literal 1/16 binary64) z (fma.f64 y (/.f64 x t) (/.f64 c t)))))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))
(.f64 (-.f64 (.f64 z #s(literal -1/16 binary64)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 x y c)) t)) (neg.f64 t))
(* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))
(.f64 (-.f64 (.f64 z #s(literal -1/16 binary64)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 x y c)) t)) (neg.f64 t))
(* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))
(.f64 (-.f64 (.f64 z #s(literal -1/16 binary64)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 x y c)) t)) (neg.f64 t))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 x y c))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 x y 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) (/ (* x y) z)))))
(.f64 z (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a b) z) (fma.f64 #s(literal 1/16 binary64) t (fma.f64 y (/.f64 x z) (/.f64 c z)))))
(* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z)))))
(.f64 z (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a b) z) (fma.f64 #s(literal 1/16 binary64) t (fma.f64 y (/.f64 x z) (/.f64 c z)))))
(* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z)))))
(.f64 z (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a b) z) (fma.f64 #s(literal 1/16 binary64) t (fma.f64 y (/.f64 x z) (/.f64 c z)))))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* -1 (* z (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) z)) (* -1/16 t))))
(.f64 (-.f64 (.f64 t #s(literal -1/16 binary64)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 x y c)) z)) (neg.f64 z))
(* -1 (* z (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) z)) (* -1/16 t))))
(.f64 (-.f64 (.f64 t #s(literal -1/16 binary64)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 x y c)) z)) (neg.f64 z))
(* -1 (* z (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) z)) (* -1/16 t))))
(.f64 (-.f64 (.f64 t #s(literal -1/16 binary64)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 x y c)) z)) (neg.f64 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)) (* x y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 x y c)))
(* x y)
(*.f64 x y)
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (+ (* 1/16 (/ (* t z) x)) (/ c x)))))
(.f64 x (+.f64 (/.f64 c x) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a b) x) (fma.f64 (*.f64 t z) (/.f64 #s(literal 1/16 binary64) x) y))))
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (+ (* 1/16 (/ (* t z) x)) (/ c x)))))
(.f64 x (+.f64 (/.f64 c x) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a b) x) (fma.f64 (*.f64 t z) (/.f64 #s(literal 1/16 binary64) x) y))))
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (+ (* 1/16 (/ (* t z) x)) (/ c x)))))
(.f64 x (+.f64 (/.f64 c x) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a b) x) (fma.f64 (*.f64 t z) (/.f64 #s(literal 1/16 binary64) x) y))))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) x)))))
(.f64 x (+.f64 y (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) x)))))
(.f64 x (+.f64 y (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) x)))))
(.f64 x (+.f64 y (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)) x)))
(+ 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)) (* x y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 x y c)))
(* x y)
(*.f64 x y)
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (+ (* 1/16 (/ (* t z) y)) (/ c y)))))
(.f64 y (fma.f64 t (/.f64 (.f64 #s(literal 1/16 binary64) z) y) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a b) y) (+.f64 x (/.f64 c y)))))
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (+ (* 1/16 (/ (* t z) y)) (/ c y)))))
(.f64 y (fma.f64 t (/.f64 (.f64 #s(literal 1/16 binary64) z) y) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a b) y) (+.f64 x (/.f64 c y)))))
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (+ (* 1/16 (/ (* t z) y)) (/ c y)))))
(.f64 y (fma.f64 t (/.f64 (.f64 #s(literal 1/16 binary64) z) y) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a b) y) (+.f64 x (/.f64 c y)))))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) y)))))
(.f64 y (+.f64 x (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) y)))))
(.f64 y (+.f64 x (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) y)))))
(.f64 y (+.f64 x (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)) y)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 x y 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) (/ (* x y) a)))))
(.f64 a (fma.f64 #s(literal -1/4 binary64) b (fma.f64 x (/.f64 y a) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 t z) a) (/.f64 c a)))))
(* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a)))))
(.f64 a (fma.f64 #s(literal -1/4 binary64) b (fma.f64 x (/.f64 y a) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 t z) a) (/.f64 c a)))))
(* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a)))))
(.f64 a (fma.f64 #s(literal -1/4 binary64) b (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 #s(literal -1/4 binary64) (.f64 a b))
(* -1 (* a (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* 1/4 b))))
(.f64 a (neg.f64 (fma.f64 b #s(literal 1/4 binary64) (/.f64 (fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c)) (neg.f64 a)))))
(* -1 (* a (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* 1/4 b))))
(.f64 a (neg.f64 (fma.f64 b #s(literal 1/4 binary64) (/.f64 (fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c)) (neg.f64 a)))))
(* -1 (* a (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* 1/4 b))))
(.f64 a (neg.f64 (fma.f64 b #s(literal 1/4 binary64) (/.f64 (fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c)) (neg.f64 a)))))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 x y 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) (/ (* x y) b)))))
(.f64 b (fma.f64 x (/.f64 y b) (fma.f64 #s(literal -1/4 binary64) a (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 t z) b) (/.f64 c b)))))
(* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b)))))
(.f64 b (fma.f64 x (/.f64 y b) (fma.f64 #s(literal -1/4 binary64) a (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 t z) b) (/.f64 c b)))))
(* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b)))))
(.f64 b (fma.f64 x (/.f64 y b) (fma.f64 #s(literal -1/4 binary64) a (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 t z) b) (/.f64 c b)))))
(* -1/4 (* a b))
(.f64 #s(literal -1/4 binary64) (.f64 a b))
(* -1 (* b (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* 1/4 a))))
(.f64 (fma.f64 a #s(literal 1/4 binary64) (/.f64 (fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c)) (neg.f64 b))) (neg.f64 b))
(* -1 (* b (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* 1/4 a))))
(.f64 (fma.f64 a #s(literal 1/4 binary64) (/.f64 (fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c)) (neg.f64 b))) (neg.f64 b))
(* -1 (* b (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* 1/4 a))))
(.f64 (fma.f64 a #s(literal 1/4 binary64) (/.f64 (fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c)) (neg.f64 b))) (neg.f64 b))
(+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (*.f64 x y)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (fma.f64 x y c)))
c
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c)))))
(fma.f64 c (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a b) c) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 t z) c) (/.f64 (*.f64 x y) c))) c)
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c)))))
(fma.f64 c (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a b) c) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 t z) c) (/.f64 (*.f64 x y) c))) c)
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c)))))
(fma.f64 c (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a b) c) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 t z) c) (/.f64 (*.f64 x y) c))) c)
c
(* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))) c)) 1)))
(.f64 c (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 #s(literal -1/4 binary64) (.f64 a b) (.f64 x y))) (neg.f64 c))))
(* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))) c)) 1)))
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(* a b)
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(* a b)
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eval314.0ms (3%)

Memory: 16.6MiB live, 243.1MiB allocated
Compiler: Compiled 29 850 to 1 654 computations (94.5% saved)

prune122.0ms (1.2%)

Memory

3.8MiB live, 337.3MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	982	4	986
Fresh	0	5	5
Picked	3	2	5
Done	0	0	0
Total	985	11	996

Accuracy

100.0%

Counts

996 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.7%	(fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)
▶	77.2%	(fma.f64 (*.f64 t #s(literal 1/16 binary64)) z (fma.f64 x y c))
▶	50.7%	(fma.f64 x y c)
▶	72.0%	(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
	75.8%	(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c))
	53.8%	(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y))
	50.7%	(+.f64 (*.f64 x y) c)
▶	47.3%	(+.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) c)
✓	27.5%	(*.f64 x y)
▶	24.0%	(.f64 a (.f64 b #s(literal -1/4 binary64)))
✓	31.6%	(.f64 #s(literal 1/16 binary64) (.f64 t z))

Compiler

Compiled 276 to 206 computations (25.4% saved)

simplify102.0ms (1%)

Memory

-23.9MiB live, 15.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	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))
✓	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	(fma.f64 x y c)
✓	cost-diff	0	(fma.f64 x y c)
✓	cost-diff	0	(*.f64 t #s(literal 1/16 binary64))
✓	cost-diff	0	(fma.f64 (*.f64 t #s(literal 1/16 binary64)) z (fma.f64 x y c))

Rules

92×	`lower-fma.f32`
86×	`lower-fma.f64`
52×	`lower-*.f32`
46×	`lower-*.f64`
44×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	81
0	25	81
1	42	81
2	68	81
3	74	81
0	74	80

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize198.0ms (1.9%)

Memory

28.4MiB live, 108.3MiB allocated

Localize:

Found 12 expressions of interest:

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

Samples

177.0ms

256×

valid

Compiler

Compiled 83 to 20 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-add: 142.0ms (94.6% of total)

ival-mult: 8.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

-20.4MiB live, 18.5MiB allocated

Counts

7 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
6.0ms	c	@	-inf	(+ (* a (* b -1/4)) c)
0.0ms	b	@	inf	(* b -1/4)
0.0ms	b	@	-inf	(* b -1/4)
0.0ms	b	@	0	(* a (* b -1/4))
0.0ms	b	@	0	(* b -1/4)

rewrite477.0ms (4.6%)

Memory

28.5MiB live, 647.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

16 808×	`lower-fma.f32`
16 802×	`lower-fma.f64`
6 838×	`lower-*.f32`
6 832×	`lower-*.f64`
3 382×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
0	25	40
1	85	40
2	684	40
0	8443	39

Stop Event

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

Counts

7 → 286

Calls

Call 1

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

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

simplify355.0ms (3.5%)

Memory

-41.6MiB live, 468.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 008×	`lower-fma.f64`
11 008×	`lower-fma.f32`
4 062×	`lower-*.f64`
4 062×	`lower-*.f32`
1 824×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	1868
1	588	1862
2	1802	1838
3	4551	1796
0	8146	1552

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 228

Calls

Call 1

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

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

eval84.0ms (0.8%)

Memory: 26.1MiB live, 176.9MiB allocated
Compiler: Compiled 15 299 to 885 computations (94.2% saved)

prune84.0ms (0.8%)

Memory

1.8MiB live, 160.6MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	717	3	720
Fresh	1	3	4
Picked	3	2	5
Done	0	2	2
Total	721	10	731

Accuracy

100.0%

Counts

731 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.7%	(fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)
	54.2%	(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 x y))
▶	47.3%	(fma.f64 (*.f64 b #s(literal -1/4 binary64)) a c)
▶	48.8%	(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
✓	50.7%	(fma.f64 x y c)
▶	75.8%	(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c))
▶	50.7%	(+.f64 (*.f64 x y) c)
✓	27.5%	(*.f64 x y)
✓	24.0%	(.f64 a (.f64 b #s(literal -1/4 binary64)))
✓	31.6%	(.f64 #s(literal 1/16 binary64) (.f64 t z))

Compiler

Compiled 217 to 164 computations (24.4% saved)

simplify8.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a b)
✓	cost-diff	0	(.f64 #s(literal -1/4 binary64) (.f64 a b))
✓	cost-diff	0	(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
✓	cost-diff	0	(*.f64 t z)
✓	cost-diff	0	(fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)
✓	cost-diff	0	(*.f64 b #s(literal -1/4 binary64))
✓	cost-diff	0	(fma.f64 (*.f64 b #s(literal -1/4 binary64)) a c)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(+.f64 (*.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)) c)
✓	cost-diff	0	(*.f64 t z)
✓	cost-diff	0	(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c))

Rules

92×	`lower-fma.f32`
82×	`lower-fma.f64`
52×	`lower-*.f32`
42×	`lower-*.f64`
32×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	88
0	35	88
1	60	88
2	74	88
0	74	87

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize72.0ms (0.7%)

Memory

-21.6MiB live, 91.8MiB allocated

Localize:

Found 13 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	99.6%	(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
✓	accuracy	100.0%	(fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)
✓	accuracy	100.0%	(*.f64 t z)
✓	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 x y)
✓	accuracy	100.0%	(+.f64 (*.f64 x y) c)
✓	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	99.6%	(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c))

Samples

41.0ms

256×

valid

Compiler

Compiled 90 to 26 computations (71.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 13.0ms (64.4% of total)

ival-add: 6.0ms (29.7% of total)

exact: 1.0ms (5% of total)

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

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

series6.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

11 → 360

Calls

Call 1

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

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

Calls

90 calls:

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

rewrite448.0ms (4.4%)

Memory

13.3MiB live, 641.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

15 676×	`lower-fma.f32`
15 666×	`lower-fma.f64`
6 508×	`lower-*.f32`
6 498×	`lower-*.f64`
3 534×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	59
0	35	59
1	138	59
2	852	59
0	8686	58

Stop Event

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

Counts

11 → 327

Calls

Call 1

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

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

simplify381.0ms (3.7%)

Memory

-2.3MiB live, 475.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 800×	`lower-fma.f64`
10 800×	`lower-fma.f32`
4 710×	`lower-*.f64`
4 710×	`lower-*.f32`
1 600×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	175	2260
1	601	2260
2	1902	2254
3	5042	2242
4	7941	2242
0	8428	2003

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 342

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

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

eval158.0ms (1.5%)

Memory: 11.2MiB live, 124.7MiB allocated
Compiler: Compiled 14 558 to 848 computations (94.2% saved)

prune92.0ms (0.9%)

Memory

23.3MiB live, 135.4MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	708	1	709
Fresh	0	1	1
Picked	1	4	5
Done	0	4	4
Total	709	10	719

Accuracy

100.0%

Counts

719 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.7%	(fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)
	54.2%	(fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 x y))
✓	47.3%	(fma.f64 (*.f64 b #s(literal -1/4 binary64)) a c)
✓	48.8%	(fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b)))
✓	50.7%	(fma.f64 x y c)
	52.8%	(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 #s(literal -1/4 binary64) (*.f64 a b)))
✓	50.7%	(+.f64 (*.f64 x y) c)
✓	27.5%	(*.f64 x y)
✓	24.0%	(.f64 a (.f64 b #s(literal -1/4 binary64)))
✓	31.6%	(.f64 #s(literal 1/16 binary64) (.f64 t z))

Compiler

Compiled 289 to 144 computations (50.2% saved)

regimes112.0ms (1.1%)

Memory

-32.8MiB live, 180.8MiB allocated

Counts

19 → 1

Calls

Call 1

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

Calls

15 calls:

14.0ms	(*.f64 a b)
10.0ms	x
8.0ms	t
8.0ms	c
7.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))

Results

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

Compiler

Compiled 172 to 138 computations (19.8% saved)

regimes125.0ms (1.2%)

Memory

11.3MiB live, 170.2MiB allocated

Counts

17 → 3

Calls

Call 1

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

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

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

Calls

15 calls:

42.0ms	z
7.0ms	c
6.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))
6.0ms	y
6.0ms	(*.f64 z t)

Results

Accuracy	Segments	Branch
89.6%	3	`x`
89.9%	3	`y`
90.4%	3	`z`
88.9%	3	`t`
86.6%	2	`a`
91.8%	4	`b`
85.9%	4	`c`
77.2%	1	`(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)`
77.2%	1	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))`
90.1%	3	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`
91.4%	3	`(*.f64 x y)`
93.4%	3	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
93.4%	3	`(*.f64 z t)`
91.2%	3	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
91.2%	3	`(*.f64 a b)`

Compiler

Compiled 172 to 138 computations (19.8% saved)

regimes11.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

16 → 3

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.3%	3	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
92.3%	3	`(*.f64 z t)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes11.0ms (0.1%)

Memory

-18.5MiB live, 20.9MiB allocated

Counts

14 → 3

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	(*.f64 z t)
5.0ms	(/.f64 (*.f64 z t) #s(literal 16 binary64))

Results

Accuracy	Segments	Branch
92.3%	3	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
92.3%	3	`(*.f64 z t)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes62.0ms (0.6%)

Memory

7.3MiB live, 124.7MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

12 calls:

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

Results

Accuracy	Segments	Branch
80.7%	2	`a`
76.8%	1	`t`
76.8%	1	`x`
76.8%	1	`y`
84.8%	3	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`
84.6%	3	`b`
76.8%	1	`z`
87.9%	3	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
87.9%	3	`(*.f64 a b)`
76.8%	1	`(*.f64 x y)`
81.0%	3	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
81.0%	3	`(*.f64 z t)`

Compiler

Compiled 118 to 98 computations (16.9% saved)

regimes73.0ms (0.7%)

Memory

2.5MiB live, 119.5MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

15 calls:

9.0ms	z
6.0ms	a
5.0ms	(/.f64 (*.f64 a b) #s(literal 4 binary64))
5.0ms	y
4.0ms	c

Results

Accuracy	Segments	Branch
67.7%	4	`x`
70.5%	4	`y`
71.7%	5	`t`
73.0%	4	`z`
72.5%	4	`(*.f64 x y)`
66.1%	5	`(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)`
68.2%	3	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))`
78.7%	5	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
78.7%	5	`(*.f64 z t)`
72.1%	6	`a`
74.3%	4	`c`
74.6%	6	`b`
79.6%	3	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`
74.2%	5	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
74.2%	5	`(*.f64 a b)`

Compiler

Compiled 172 to 138 computations (19.8% saved)

regimes5.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
79.2%	3	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes48.0ms (0.5%)

Memory

-47.6MiB live, 19.6MiB allocated

Counts

9 → 5

Calls

Call 1

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

Calls

3 calls:

41.0ms	(*.f64 z t)
3.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))
3.0ms	(/.f64 (*.f64 z t) #s(literal 16 binary64))

Results

Accuracy	Segments	Branch
75.9%	5	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
75.9%	5	`(*.f64 z t)`
67.2%	3	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`

Compiler

Compiled 38 to 30 computations (21.1% saved)

regimes25.0ms (0.2%)

Memory

19.3MiB live, 56.5MiB allocated

Counts

6 → 5

Calls

Call 1

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

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

Calls

8 calls:

5.0ms	(*.f64 a b)
3.0ms	z
3.0ms	(/.f64 (*.f64 z t) #s(literal 16 binary64))
3.0ms	(/.f64 (*.f64 a b) #s(literal 4 binary64))
3.0ms	c

Results

Accuracy	Segments	Branch
62.9%	4	`b`
65.3%	3	`(*.f64 x y)`
64.2%	3	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
64.2%	3	`(*.f64 a b)`
67.6%	4	`z`
64.3%	6	`c`
73.0%	5	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
73.0%	5	`(*.f64 z t)`

Compiler

Compiled 78 to 65 computations (16.7% saved)

regimes10.0ms (0.1%)

Memory

-17.1MiB live, 20.1MiB allocated

Counts

5 → 3

Calls

Call 1

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

Calls

3 calls:

4.0ms	(/.f64 (*.f64 z t) #s(literal 16 binary64))
3.0ms	y
2.0ms	(*.f64 z t)

Results

Accuracy	Segments	Branch
55.3%	3	`y`
68.8%	3	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
68.8%	3	`(*.f64 z t)`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes33.0ms (0.3%)

Memory

-2.9MiB live, 78.8MiB allocated

Counts

3 → 1

Calls

Call 1

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

Outputs
(fma.f64 x y c)

Calls

15 calls:

4.0ms	c
3.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))
2.0ms	a
2.0ms	b
2.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)

Results

Accuracy	Segments	Branch
50.7%	1	`y`
50.7%	1	`c`
50.7%	1	`b`
50.7%	1	`(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)`
50.7%	1	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
50.7%	1	`(*.f64 a b)`
50.7%	1	`(*.f64 x y)`
50.7%	1	`z`
50.7%	1	`x`
50.7%	1	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`
50.7%	1	`a`
50.7%	1	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))`
50.7%	1	`t`
50.7%	1	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
50.7%	1	`(*.f64 z t)`

Compiler

Compiled 172 to 138 computations (19.8% saved)

regimes205.0ms (2%)

Memory

5.1MiB live, 44.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x y)

Outputs
(*.f64 x y)

Calls

15 calls:

185.0ms	(+.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 x y)
1.0ms	t
1.0ms	(-.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
27.5%	1	`x`
27.5%	1	`z`
27.5%	1	`t`
27.5%	1	`a`
27.5%	1	`(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)`
27.5%	1	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))`
27.5%	1	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`
27.5%	1	`(*.f64 x y)`
27.5%	1	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
27.5%	1	`(*.f64 a b)`
27.5%	1	`y`
27.5%	1	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
27.5%	1	`(*.f64 z t)`
27.5%	1	`b`
27.5%	1	`c`

Compiler

Compiled 172 to 138 computations (19.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8565342418462.623	8.147578744545547e+25
0.0ms	-5.344438038083633e+50	-4.0323508827087565e+47

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	2.7209057522304738e+156	2.654695580188099e+161
0.0ms	-5.344438038083633e+50	-4.0323508827087565e+47

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	2.7209057522304738e+156	2.654695580188099e+161
0.0ms	-5.344438038083633e+50	-4.0323508827087565e+47

Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2300409352245773e+166	4.55492905987775e+170
0.0ms	-7.575606262826107e+201	-3.138825374540513e+188

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	7.803628074658891e+178	8.849881306586633e+178
0.0ms	-7.708202055361357e+158	-5.59900133395535e+158

Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.803628074658891e+178	8.849881306586633e+178
0.0ms	-7.708202055361357e+158	-5.59900133395535e+158

Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.5655078464561784e+117	5.800366248172967e+129
0.0ms	1.614834128987982e+36	2.621010590447879e+46
0.0ms	-7.702322449955384e-284	-9.748205020455638e-295
0.0ms	-5.344438038083633e+50	-4.0323508827087565e+47

Compiler

Compiled 27 to 27 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	4.3597771670975274e+136	9.700771089416216e+139
0.0ms	1.614834128987982e+36	2.621010590447879e+46
0.0ms	-7.702322449955384e-284	-9.748205020455638e-295
0.0ms	-8.310988259857848e+96	-2.9238183788381398e+91

Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2015664854582075e+162	1.7282189946682868e+168
0.0ms	-3.0052481237945933e+182	-3.048625897539568e+181

Compiler

Compiled 27 to 27 computations (0% saved)

simplify10.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	392
1	97	392

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (fma.f64 (.f64 t #s(literal 1/16 binary64)) z (fma.f64 x y (.f64 (*.f64 a b) #s(literal -1/4 binary64)))) c)
(if (<=.f64 (.f64 z t) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) (fma.f64 (.f64 t #s(literal 1/16 binary64)) z (fma.f64 x y c)) (if (<=.f64 (.f64 z t) #s(literal 10000000000000 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c))))
(if (<=.f64 (.f64 z t) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) (fma.f64 (.f64 t #s(literal 1/16 binary64)) z (fma.f64 x y c)) (if (<=.f64 (.f64 z t) #s(literal 4999999999999999916795901115958608572801861375087352681835038072302342087505062772657389384729693708756186941721815525337672536740822868667327551851630428160 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)) (fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)))
(if (<=.f64 (.f64 z t) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)) (if (<=.f64 (.f64 z t) #s(literal 4999999999999999916795901115958608572801861375087352681835038072302342087505062772657389384729693708756186941721815525337672536740822868667327551851630428160 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)) (fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)))
(if (<=.f64 (.f64 a b) #s(literal -4999999999999999508737295659820865136036064183695196641472492202216911574133455328451538609289877240337374171051951292319935915520653274410158475954629360671458393142723593846507077330656696262438420480 binary64)) (fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b))) (if (<=.f64 (.f64 a b) #s(literal 19999999999999998808145521010705166047966592201710596460899538287876604513323727676359200508103901138749094785030136715546254981371299096234279431943490294483028803584 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)) (fma.f64 x y (.f64 #s(literal -1/4 binary64) (*.f64 a b)))))
(if (<=.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) #s(literal -599999999999999996112673271250955355653405454450260262735435316068802829522398469487190903549917971848215290552500619212057679255396054582751133720805583618048 binary64)) (fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 x y)) (if (<=.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) #s(literal 80000000000000004195049475800502697563790401235437796884529097946544494678029750910567654647102860927909797091335457422634763213441497953213858383684738858174535256480966221234176 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (fma.f64 (.f64 t #s(literal 1/16 binary64)) z (*.f64 x y))))
(if (<=.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) #s(literal -599999999999999996112673271250955355653405454450260262735435316068802829522398469487190903549917971848215290552500619212057679255396054582751133720805583618048 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y)) (if (<=.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) #s(literal 80000000000000004195049475800502697563790401235437796884529097946544494678029750910567654647102860927909797091335457422634763213441497953213858383684738858174535256480966221234176 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (*.f64 x y))))
(if (<=.f64 (.f64 z t) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) (fma.f64 (.f64 t z) #s(literal 1/16 binary64) c) (if (<=.f64 (.f64 z t) #s(literal -8371160993642713/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (if (<=.f64 (.f64 z t) #s(literal 2000000000000000084841274748035923968 binary64)) (fma.f64 x y c) (if (<=.f64 (.f64 z t) #s(literal 2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (fma.f64 (.f64 t z) #s(literal 1/16 binary64) c)))))
(if (<=.f64 (.f64 z t) #s(literal -5000000000000000367879369238556249198788031076088728399622928950675879571901095101025339828076544 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 t z)) (if (<=.f64 (.f64 z t) #s(literal -8371160993642713/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (if (<=.f64 (.f64 z t) #s(literal 2000000000000000084841274748035923968 binary64)) (fma.f64 x y c) (if (<=.f64 (.f64 z t) #s(literal 50000000000000001642078124460246303949350628317980584775615671312937350344939399777200065781386370634197475239216121778932424531710574592 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (.f64 #s(literal 1/16 binary64) (.f64 t z))))))
(if (<=.f64 (.f64 z t) #s(literal -200000000000000012906239745447679119308421504820578339539671915665471618650040573112543019986749031403290765577790368360384389590184578101271409790645582658247315902435527641605865472 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 t z)) (if (<=.f64 (.f64 z t) #s(literal 1999999999999999875699879276232794932901050318877935970751450631845371717764730004985710993928086121869799959243788426006365054187817298671525979841403102802477056 binary64)) (fma.f64 x y c) (.f64 #s(literal 1/16 binary64) (.f64 t z))))
(fma.f64 x y c)
(*.f64 x y)

Outputs
(+.f64 (fma.f64 (.f64 t #s(literal 1/16 binary64)) z (fma.f64 x y (.f64 (*.f64 a b) #s(literal -1/4 binary64)))) c)
(if (<=.f64 (.f64 z t) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) (fma.f64 (.f64 t #s(literal 1/16 binary64)) z (fma.f64 x y c)) (if (<=.f64 (.f64 z t) #s(literal 10000000000000 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c))))
(if (<=.f64 (.f64 t z) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) (fma.f64 (.f64 t #s(literal 1/16 binary64)) z (fma.f64 x y c)) (if (<=.f64 (.f64 t z) #s(literal 10000000000000 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c))))
(if (<=.f64 (.f64 z t) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) (fma.f64 (.f64 t #s(literal 1/16 binary64)) z (fma.f64 x y c)) (if (<=.f64 (.f64 z t) #s(literal 4999999999999999916795901115958608572801861375087352681835038072302342087505062772657389384729693708756186941721815525337672536740822868667327551851630428160 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)) (fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)))
(if (<=.f64 (.f64 t z) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) (fma.f64 (.f64 t #s(literal 1/16 binary64)) z (fma.f64 x y c)) (if (<=.f64 (.f64 t z) #s(literal 4999999999999999916795901115958608572801861375087352681835038072302342087505062772657389384729693708756186941721815525337672536740822868667327551851630428160 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)) (fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)))
(if (<=.f64 (.f64 z t) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)) (if (<=.f64 (.f64 z t) #s(literal 4999999999999999916795901115958608572801861375087352681835038072302342087505062772657389384729693708756186941721815525337672536740822868667327551851630428160 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)) (fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)))
(if (<=.f64 (.f64 t z) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)) (if (<=.f64 (.f64 t z) #s(literal 4999999999999999916795901115958608572801861375087352681835038072302342087505062772657389384729693708756186941721815525337672536740822868667327551851630428160 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)) (fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)))
(if (<=.f64 (.f64 a b) #s(literal -4999999999999999508737295659820865136036064183695196641472492202216911574133455328451538609289877240337374171051951292319935915520653274410158475954629360671458393142723593846507077330656696262438420480 binary64)) (fma.f64 x y (.f64 #s(literal -1/4 binary64) (.f64 a b))) (if (<=.f64 (.f64 a b) #s(literal 19999999999999998808145521010705166047966592201710596460899538287876604513323727676359200508103901138749094785030136715546254981371299096234279431943490294483028803584 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)) (fma.f64 x y (.f64 #s(literal -1/4 binary64) (*.f64 a b)))))
(if (<=.f64 (.f64 a b) #s(literal -4999999999999999508737295659820865136036064183695196641472492202216911574133455328451538609289877240337374171051951292319935915520653274410158475954629360671458393142723593846507077330656696262438420480 binary64)) (fma.f64 x y (.f64 (.f64 a b) #s(literal -1/4 binary64))) (if (<=.f64 (.f64 a b) #s(literal 19999999999999998808145521010705166047966592201710596460899538287876604513323727676359200508103901138749094785030136715546254981371299096234279431943490294483028803584 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 x y c)) (fma.f64 x y (.f64 (*.f64 a b) #s(literal -1/4 binary64)))))
(if (<=.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) #s(literal -599999999999999996112673271250955355653405454450260262735435316068802829522398469487190903549917971848215290552500619212057679255396054582751133720805583618048 binary64)) (fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 x y)) (if (<=.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) #s(literal 80000000000000004195049475800502697563790401235437796884529097946544494678029750910567654647102860927909797091335457422634763213441497953213858383684738858174535256480966221234176 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (fma.f64 (.f64 t #s(literal 1/16 binary64)) z (*.f64 x y))))
(if (<=.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) #s(literal 16 binary64))) #s(literal -599999999999999996112673271250955355653405454450260262735435316068802829522398469487190903549917971848215290552500619212057679255396054582751133720805583618048 binary64)) (fma.f64 (.f64 t #s(literal 1/16 binary64)) z (.f64 x y)) (if (<=.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) #s(literal 16 binary64))) #s(literal 80000000000000004195049475800502697563790401235437796884529097946544494678029750910567654647102860927909797091335457422634763213441497953213858383684738858174535256480966221234176 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (fma.f64 (.f64 t #s(literal 1/16 binary64)) z (*.f64 x y))))
(if (<=.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) #s(literal -599999999999999996112673271250955355653405454450260262735435316068802829522398469487190903549917971848215290552500619212057679255396054582751133720805583618048 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y)) (if (<=.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) #s(literal 80000000000000004195049475800502697563790401235437796884529097946544494678029750910567654647102860927909797091335457422634763213441497953213858383684738858174535256480966221234176 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (*.f64 x y))))
(if (<=.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) #s(literal 16 binary64))) #s(literal -599999999999999996112673271250955355653405454450260262735435316068802829522398469487190903549917971848215290552500619212057679255396054582751133720805583618048 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 x y)) (if (<=.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) #s(literal 16 binary64))) #s(literal 80000000000000004195049475800502697563790401235437796884529097946544494678029750910567654647102860927909797091335457422634763213441497953213858383684738858174535256480966221234176 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (*.f64 x y))))
(if (<=.f64 (.f64 z t) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) (fma.f64 (.f64 t z) #s(literal 1/16 binary64) c) (if (<=.f64 (.f64 z t) #s(literal -8371160993642713/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (if (<=.f64 (.f64 z t) #s(literal 2000000000000000084841274748035923968 binary64)) (fma.f64 x y c) (if (<=.f64 (.f64 z t) #s(literal 2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (fma.f64 (.f64 t z) #s(literal 1/16 binary64) c)))))
(if (<=.f64 (.f64 t z) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) (fma.f64 (.f64 t z) #s(literal 1/16 binary64) c) (if (<=.f64 (.f64 t z) #s(literal -8371160993642713/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (if (<=.f64 (.f64 t z) #s(literal 2000000000000000084841274748035923968 binary64)) (fma.f64 x y c) (if (<=.f64 (.f64 t z) #s(literal 2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (fma.f64 (.f64 t z) #s(literal 1/16 binary64) c)))))
(if (<=.f64 (.f64 z t) #s(literal -5000000000000000367879369238556249198788031076088728399622928950675879571901095101025339828076544 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 t z)) (if (<=.f64 (.f64 z t) #s(literal -8371160993642713/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (if (<=.f64 (.f64 z t) #s(literal 2000000000000000084841274748035923968 binary64)) (fma.f64 x y c) (if (<=.f64 (.f64 z t) #s(literal 50000000000000001642078124460246303949350628317980584775615671312937350344939399777200065781386370634197475239216121778932424531710574592 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (.f64 #s(literal 1/16 binary64) (.f64 t z))))))
(if (<=.f64 (.f64 t z) #s(literal -5000000000000000367879369238556249198788031076088728399622928950675879571901095101025339828076544 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 t z)) (if (<=.f64 (.f64 t z) #s(literal -8371160993642713/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (if (<=.f64 (.f64 t z) #s(literal 2000000000000000084841274748035923968 binary64)) (fma.f64 x y c) (if (<=.f64 (.f64 t z) #s(literal 50000000000000001642078124460246303949350628317980584775615671312937350344939399777200065781386370634197475239216121778932424531710574592 binary64)) (fma.f64 (.f64 b #s(literal -1/4 binary64)) a c) (.f64 #s(literal 1/16 binary64) (.f64 t z))))))
(if (<=.f64 (.f64 z t) #s(literal -200000000000000012906239745447679119308421504820578339539671915665471618650040573112543019986749031403290765577790368360384389590184578101271409790645582658247315902435527641605865472 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 t z)) (if (<=.f64 (.f64 z t) #s(literal 1999999999999999875699879276232794932901050318877935970751450631845371717764730004985710993928086121869799959243788426006365054187817298671525979841403102802477056 binary64)) (fma.f64 x y c) (.f64 #s(literal 1/16 binary64) (.f64 t z))))
(if (<=.f64 (.f64 t z) #s(literal -200000000000000012906239745447679119308421504820578339539671915665471618650040573112543019986749031403290765577790368360384389590184578101271409790645582658247315902435527641605865472 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 t z)) (if (<=.f64 (.f64 t z) #s(literal 1999999999999999875699879276232794932901050318877935970751450631845371717764730004985710993928086121869799959243788426006365054187817298671525979841403102802477056 binary64)) (fma.f64 x y c) (.f64 #s(literal 1/16 binary64) (.f64 t z))))
(fma.f64 x y c)
(*.f64 x y)

soundness1.8s (17.7%)

Memory

1.9MiB live, 1 140.0MiB allocated

Rules

17 544×	`lower-fma.f64`
17 544×	`lower-fma.f32`
16 808×	`lower-fma.f32`
16 802×	`lower-fma.f64`
14 864×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	1868
1	588	1862
2	1802	1838
3	4551	1796
0	8146	1552
0	273	4468
1	965	4420
2	3219	4378
3	6756	4378
0	8142	3954
0	16	40
0	25	40
1	85	40
2	684	40
0	8443	39
0	17	57
0	25	57
1	96	57
2	943	57
0	8624	52
0	21	73
0	34	73
1	132	73
2	1063	73
0	8130	71
0	203	3234
1	683	3198
2	2202	3156
3	6755	3150
0	8507	2839

Stop Event

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

Compiler

Compiled 1 008 to 528 computations (47.6% saved)

preprocess87.0ms (0.8%)

Memory

15.7MiB live, 161.7MiB allocated

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 978 to 286 computations (70.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

sample1.5s (14.7%)

preprocess176.0ms (1.7%)

explain263.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify109.0ms (1.1%)

localize45.0ms (0.4%)

series21.0ms (0.2%)

rewrite395.0ms (3.8%)

simplify422.0ms (4.1%)

eval130.0ms (1.3%)

prune149.0ms (1.4%)

simplify11.0ms (0.1%)

localize69.0ms (0.7%)

series15.0ms (0.1%)

rewrite674.0ms (6.6%)

simplify736.0ms (7.2%)

eval314.0ms (3%)

prune122.0ms (1.2%)

simplify102.0ms (1%)

localize198.0ms (1.9%)

series12.0ms (0.1%)

rewrite477.0ms (4.6%)

simplify355.0ms (3.5%)

eval84.0ms (0.8%)

prune84.0ms (0.8%)

simplify8.0ms (0.1%)

localize72.0ms (0.7%)

series6.0ms (0.1%)

rewrite448.0ms (4.4%)

simplify381.0ms (3.7%)

eval158.0ms (1.5%)

prune92.0ms (0.9%)

regimes112.0ms (1.1%)

regimes125.0ms (1.2%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes62.0ms (0.6%)

regimes73.0ms (0.7%)

regimes5.0ms (0%)

regimes48.0ms (0.5%)

regimes25.0ms (0.2%)

regimes10.0ms (0.1%)

regimes33.0ms (0.3%)

regimes205.0ms (2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness1.8s (17.7%)

preprocess87.0ms (0.8%)

end0.0ms (0%)

Profiling