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

analyze1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 19 computations (0% saved)

sample1.3s (15.5%)

Memory

24.3MiB live, 1 726.3MiB allocated

Samples

906.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 519.0ms

ival-mult: 197.0ms (38% of total)

ival-div: 138.0ms (26.6% of total)

ival-add: 115.0ms (22.2% of total)

ival-sub: 51.0ms (9.8% of total)

exact: 9.0ms (1.7% of total)

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

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

Bogosity

preprocess183.0ms (2.2%)

Memory

-8.5MiB live, 114.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2 224×	`accelerator-lowering-fma.f32`
2 224×	`accelerator-lowering-fma.f64`
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
1	32	17
2	77	17
3	167	17
4	321	17
5	649	17
6	1092	17
7	1677	17
8	2038	17
9	2128	17
10	2167	17
11	2167	17
12	2167	17
13	2168	17
0	2168	14

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Symmetry

(sort x y)

(sort z t)

(sort a b)

explain244.0ms (2.9%)

Memory

-10.6MiB live, 272.8MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))`	nan-rescue	5	0
↳	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`	overflow	32
↳	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`	overflow	64
↳	`(*.f64 x y)`	overflow	34
↳	`(*.f64 z t)`	overflow	32
↳	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`	overflow	29
↳	`(*.f64 a b)`	overflow	29
`+.f64`	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`	nan-rescue	2	0
↳	`(*.f64 x y)`	overflow	34
↳	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`	overflow	32
↳	`(*.f64 z t)`	overflow	32

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

54.0ms

512×

valid

Compiler

Compiled 190 to 72 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 11.0ms (43.5% of total)

ival-div: 7.0ms (27.7% of total)

ival-add: 4.0ms (15.8% of total)

ival-sub: 2.0ms (7.9% of total)

exact: 1.0ms (4% 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)

simplify113.0ms (1.3%)

Memory

9.4MiB live, 168.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize42.0ms (0.5%)

Memory

11.8MiB live, 86.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (*.f64 a b) #s(literal 4 binary64))
✓	accuracy	100.0%	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)
✓	accuracy	99.2%	(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))
✓	accuracy	98.4%	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))

Samples

28.0ms

256×

valid

Compiler

Compiled 71 to 19 computations (73.2% saved)

Precisions

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.2%)

Memory

1.1MiB live, 39.8MiB allocated

Counts

5 → 252

Calls

Call 1

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

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))))>

Calls

63 calls:

Time	Variable		Point	Expression
2.0ms	z	@	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)

rewrite371.0ms (4.4%)

Memory

19.5MiB live, 614.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	51
1	88	51
2	935	51
0	8616	46

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 366

Calls

Call 1

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

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

simplify597.0ms (7.1%)

Memory

9.5MiB live, 726.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	3090
1	683	3054
2	2202	3012
3	6755	3006
0	8507	2695

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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)
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(* 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))))
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(* -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))))

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

eval92.0ms (1.1%)

Memory: -16.3MiB live, 229.4MiB allocated
Compiler: Compiled 24 207 to 1 527 computations (93.7% saved)

prune173.0ms (2%)

Memory

4.5MiB live, 204.4MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	609	9	618
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	610	9	619

Accuracy

100.0%

Counts

619 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.6%	(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
	72.4%	(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c))
▶	52.1%	(+.f64 (*.f64 x y) c)
▶	50.5%	(+.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) c)
	46.7%	(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) c)
	29.1%	(*.f64 x y)
▶	28.0%	(.f64 a (.f64 b #s(literal -1/4 binary64)))
	24.7%	(.f64 #s(literal 1/16 binary64) (.f64 t z))
▶	24.3%	c

Compiler

Compiled 232 to 180 computations (22.4% saved)

simplify9.0ms (0.1%)

Memory

-29.9MiB live, 12.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize45.0ms (0.5%)

Memory

16.7MiB live, 93.4MiB allocated

Localize:

Found 10 expressions of interest:

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

Samples

26.0ms

256×

valid

Compiler

Compiled 66 to 16 computations (75.8% saved)

Precisions

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

ival-mult: 5.0ms (52.8% of total)

ival-add: 4.0ms (42.2% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

7 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

rewrite468.0ms (5.5%)

Memory

-18.4MiB live, 734.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 345

Calls

Call 1

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

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

simplify259.0ms (3.1%)

Memory

-8.7MiB live, 432.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval69.0ms (0.8%)

Memory: 37.6MiB live, 147.8MiB allocated
Compiler: Compiled 15 864 to 767 computations (95.2% saved)

prune76.0ms (0.9%)

Memory

-1.3MiB live, 158.2MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	629	2	631
Fresh	0	4	4
Picked	3	2	5
Done	0	0	0
Total	632	8	640

Accuracy

100.0%

Counts

640 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.5%	(fma.f64 (*.f64 b #s(literal -1/4 binary64)) a c)
▶	52.1%	(fma.f64 y x c)
▶	72.4%	(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c))
	46.7%	(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) c)
▶	29.1%	(*.f64 x y)
✓	28.0%	(.f64 a (.f64 b #s(literal -1/4 binary64)))
▶	24.7%	(.f64 #s(literal 1/16 binary64) (.f64 t z))
✓	24.3%	c

Compiler

Compiled 176 to 137 computations (22.2% saved)

simplify13.0ms (0.2%)

Memory

-36.4MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize55.0ms (0.6%)

Memory

27.0MiB live, 99.7MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (*.f64 b #s(literal -1/4 binary64)) a c)
✓	accuracy	100.0%	(*.f64 b #s(literal -1/4 binary64))
✓	accuracy	100.0%	(*.f64 t z)
✓	accuracy	100.0%	(.f64 #s(literal 1/16 binary64) (.f64 t z))
✓	accuracy	100.0%	(fma.f64 y x c)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
✓	accuracy	100.0%	(*.f64 t z)
✓	accuracy	100.0%	(*.f64 b #s(literal -1/4 binary64))
✓	accuracy	99.4%	(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c))

Samples

31.0ms

256×

valid

Compiler

Compiled 68 to 22 computations (67.6% saved)

Precisions

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

ival-mult: 11.0ms (71.9% of total)

ival-add: 4.0ms (26.2% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

8 → 252

Calls

Call 1

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

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

Calls

63 calls:

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

rewrite500.0ms (5.9%)

Memory

-32.3MiB live, 575.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 346

Calls

Call 1

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

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

simplify410.0ms (4.9%)

Memory

36.5MiB live, 507.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

eval86.0ms (1%)

Memory: -10.8MiB live, 154.8MiB allocated
Compiler: Compiled 17 104 to 804 computations (95.3% saved)

prune76.0ms (0.9%)

Memory

-19.4MiB live, 175.2MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	636	2	638
Fresh	1	0	1
Picked	1	4	5
Done	0	2	2
Total	638	8	646

Accuracy

100.0%

Counts

646 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.5%	(fma.f64 (*.f64 b #s(literal -1/4 binary64)) a c)
✓	52.1%	(fma.f64 y x c)
▶	50.0%	(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 #s(literal -1/4 binary64) (*.f64 a b)))
▶	46.7%	(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
✓	29.1%	(*.f64 x y)
✓	28.0%	(.f64 a (.f64 b #s(literal -1/4 binary64)))
✓	24.7%	(.f64 #s(literal 1/16 binary64) (.f64 t z))
✓	24.3%	c

Compiler

Compiled 96 to 76 computations (20.8% saved)

simplify5.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

48×	`-lowering-.f32`
48×	`-lowering-.f64`
36×	`accelerator-lowering-fma.f32`
36×	`accelerator-lowering-fma.f64`
20×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	23	42
2	37	42
3	41	42
0	41	40

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize37.0ms (0.4%)

Memory

7.6MiB live, 90.6MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 t z)
✓	accuracy	100.0%	(*.f64 a b)
✓	accuracy	100.0%	(.f64 #s(literal -1/4 binary64) (.f64 a b))
✓	accuracy	99.4%	(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 #s(literal -1/4 binary64) (*.f64 a b)))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
✓	accuracy	100.0%	(*.f64 t z)

Samples

23.0ms

256×

valid

Compiler

Compiled 42 to 17 computations (59.5% saved)

Precisions

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

ival-mult: 6.0ms (56.6% of total)

ival-add: 4.0ms (37.7% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

5 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite456.0ms (5.4%)

Memory

16.8MiB live, 600.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 470×	`accelerator-lowering-fma.f32`
9 470×	`accelerator-lowering-fma.f64`
5 998×	`-lowering-.f32`
5 998×	`-lowering-.f64`
2 820×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	46	29
2	346	29
3	3898	29
0	8724	27

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 259

Calls

Call 1

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

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

simplify410.0ms (4.9%)

Memory

-23.6MiB live, 510.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 232×	`accelerator-lowering-fma.f32`
8 232×	`accelerator-lowering-fma.f64`
5 416×	`-lowering-.f32`
5 416×	`-lowering-.f64`
1 704×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	938
1	261	938
2	790	938
3	2229	938
4	4782	938
0	8188	875

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval51.0ms (0.6%)

Memory: 11.4MiB live, 125.8MiB allocated
Compiler: Compiled 13 674 to 755 computations (94.5% saved)

prune63.0ms (0.7%)

Memory

-4.0MiB live, 151.3MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	441	0	441
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	441	8	449

Accuracy

100.0%

Counts

449 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.5%	(fma.f64 (*.f64 b #s(literal -1/4 binary64)) a c)
✓	52.1%	(fma.f64 y x c)
✓	50.0%	(fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 #s(literal -1/4 binary64) (*.f64 a b)))
✓	46.7%	(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
✓	29.1%	(*.f64 x y)
✓	28.0%	(.f64 a (.f64 b #s(literal -1/4 binary64)))
✓	24.7%	(.f64 #s(literal 1/16 binary64) (.f64 t z))
✓	24.3%	c

Compiler

Compiled 199 to 111 computations (44.2% saved)

regimes91.0ms (1.1%)

Memory

16.9MiB live, 101.0MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

20.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)
8.0ms	(*.f64 z t)
5.0ms	a
5.0ms	y
5.0ms	x

Results

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

Compiler

Compiled 172 to 138 computations (19.8% saved)

regimes475.0ms (5.6%)

Memory

-56.5MiB live, 91.2MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

15 calls:

161.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))
151.0ms	z
5.0ms	y
5.0ms	c
5.0ms	x

Results

Accuracy	Segments	Branch
89.5%	3	`x`
84.0%	3	`y`
88.2%	3	`z`
90.2%	3	`t`
82.7%	2	`a`
80.8%	2	`b`
81.7%	3	`c`
79.6%	2	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`
90.0%	3	`(*.f64 x y)`
93.5%	3	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
93.5%	3	`(*.f64 z t)`
79.3%	2	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
79.3%	2	`(*.f64 a b)`
79.2%	2	`(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)`
79.2%	2	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))`

Compiler

Compiled 172 to 138 computations (19.8% saved)

regimes9.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
91.4%	3	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
91.4%	3	`(*.f64 z t)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes104.0ms (1.2%)

Memory

-17.3MiB live, 22.1MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

5 calls:

87.0ms	x
4.0ms	t
4.0ms	(*.f64 z t)
4.0ms	(/.f64 (*.f64 z t) #s(literal 16 binary64))
4.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
76.6%	1	`x`
76.6%	1	`(*.f64 x y)`
85.6%	3	`t`
89.4%	3	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
89.4%	3	`(*.f64 z t)`

Compiler

Compiled 48 to 40 computations (16.7% saved)

regimes130.0ms (1.5%)

Memory

37.3MiB live, 76.2MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

15 calls:

77.0ms	(/.f64 (*.f64 a b) #s(literal 4 binary64))
4.0ms	y
4.0ms	a
4.0ms	x
4.0ms	c

Results

Accuracy	Segments	Branch
68.6%	4	`x`
71.0%	3	`(*.f64 x y)`
54.3%	2	`(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)`
54.3%	2	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))`
70.1%	3	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
70.1%	3	`(*.f64 a b)`
69.1%	4	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`
60.7%	5	`c`
66.9%	4	`b`
64.1%	3	`y`
69.7%	4	`a`
65.8%	3	`t`
68.5%	5	`z`
71.7%	4	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
71.7%	4	`(*.f64 z t)`

Compiler

Compiled 172 to 138 computations (19.8% saved)

regimes124.0ms (1.5%)

Memory

-32.2MiB live, 47.0MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

5 calls:

110.0ms	(*.f64 x y)
5.0ms	(/.f64 (*.f64 a b) #s(literal 4 binary64))
3.0ms	(/.f64 (*.f64 z t) #s(literal 16 binary64))
3.0ms	(*.f64 z t)
3.0ms	(*.f64 a b)

Results

Accuracy	Segments	Branch
67.6%	3	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
67.6%	3	`(*.f64 a b)`
69.3%	3	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
69.3%	3	`(*.f64 z t)`
66.1%	3	`(*.f64 x y)`

Compiler

Compiled 54 to 44 computations (18.5% saved)

regimes14.0ms (0.2%)

Memory

30.5MiB live, 30.5MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
67.6%	3	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
67.6%	3	`(*.f64 a b)`
64.6%	3	`a`
67.1%	3	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
67.1%	3	`(*.f64 z t)`

Compiler

Compiled 52 to 43 computations (17.3% saved)

regimes14.0ms (0.2%)

Memory

-8.5MiB live, 30.5MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
67.1%	3	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
67.1%	3	`(*.f64 z t)`
54.3%	2	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`
52.1%	1	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
52.1%	1	`(*.f64 a b)`

Compiler

Compiled 60 to 48 computations (20% saved)

regimes32.0ms (0.4%)

Memory

16.4MiB live, 93.7MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs
(fma.f64 y x c)

Calls

13 calls:

4.0ms	x
3.0ms	a
2.0ms	c
2.0ms	b
2.0ms	t

Results

Accuracy	Segments	Branch
52.1%	1	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`
52.1%	1	`(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)`
52.1%	1	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))`
52.1%	1	`c`
52.1%	1	`y`
52.1%	1	`a`
52.1%	1	`b`
52.1%	1	`z`
52.1%	1	`t`
52.1%	1	`(*.f64 x y)`
52.1%	1	`x`
52.1%	1	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
52.1%	1	`(*.f64 z t)`

Compiler

Compiled 150 to 120 computations (20% saved)

regimes29.0ms (0.3%)

Memory

-36.3MiB live, 83.5MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
c
(*.f64 x y)

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

Calls

15 calls:

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

Results

Accuracy	Segments	Branch
45.0%	3	`(*.f64 x y)`
43.7%	3	`x`
32.5%	3	`z`
32.5%	3	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
32.5%	3	`(*.f64 a b)`
29.1%	1	`b`
42.1%	3	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`
34.7%	3	`t`
29.1%	1	`a`
38.3%	3	`y`
40.0%	3	`c`
31.2%	2	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
36.3%	3	`(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)`
41.0%	3	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))`
31.2%	2	`(*.f64 z t)`

Compiler

Compiled 172 to 138 computations (19.8% saved)

regimes22.0ms (0.3%)

Memory

34.3MiB live, 73.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
c

Outputs
c

Calls

15 calls:

2.0ms	(*.f64 z t)
1.0ms	b
1.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)
1.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))
1.0ms	z

Results

Accuracy	Segments	Branch
24.3%	1	`a`
24.3%	1	`b`
24.3%	1	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
24.3%	1	`(*.f64 a b)`
24.3%	1	`z`
24.3%	1	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
24.3%	1	`(*.f64 z t)`
24.3%	1	`t`
24.3%	1	`(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)`
24.3%	1	`y`
24.3%	1	`c`
24.3%	1	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))`
24.3%	1	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`
24.3%	1	`x`
24.3%	1	`(*.f64 x y)`

Compiler

Compiled 172 to 138 computations (19.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.634997749628233e+115	1.679770282881824e+117
0.0ms	-175036961361478980.0	-6307486053992473.0

Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.679770282881824e+117	2.2436321420030552e+122
0.0ms	-3.8360388649423043e+213	-8.398302223804252e+211

Compiler

Compiled 27 to 27 computations (0% saved)

bsearch2.0ms (0%)

Memory

-39.9MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.634997749628233e+115	1.679770282881824e+117
1.0ms	-3.1932030431167983e+239	-9.680779809574553e+232

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	1.4622577168157743e+66	1.84368654648366e+67
0.0ms	-1.0024667257685173e+29	-3.499783958450882e+24

Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.634997749628233e+115	1.679770282881824e+117
0.0ms	-175036961361478980.0	-6307486053992473.0

Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0647627496493657e+233	4.679622272234658e+242
0.0ms	-4.11345336063393e+130	-5.447114969157044e+118

Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.679770282881824e+117	2.2436321420030552e+122
0.0ms	-3.8360388649423043e+213	-8.398302223804252e+211

Compiler

Compiled 27 to 27 computations (0% saved)

bsearch18.0ms (0.2%)

Memory

12.2MiB live, 51.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.2166291507334653e+111	1.2632538752153795e+111
16.0ms	-1.1479458472017089e+24	-2841539855693433000.0

Samples

11.0ms

144×

valid

Compiler

Compiled 189 to 171 computations (9.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (33.8% of total)

ival-mult: 2.0ms (33.8% of total)

ival-sub: 1.0ms (16.9% of total)

ival-add: 1.0ms (16.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify15.0ms (0.2%)

Memory

-9.0MiB live, 30.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	250
1	107	250
2	116	250
3	128	250
4	137	250
5	143	250
6	145	250

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (.f64 a b) #s(literal 4 binary64))) #s(literal +inf.0 binary64)) (+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (.f64 a b) #s(literal 4 binary64))) c) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 #s(literal -1/4 binary64) (*.f64 a b))))
(if (<=.f64 (.f64 z t) #s(literal -100000000000000000 binary64)) (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 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392000 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 -1999999999999999968690075053594844794467049550398674105839167574826260825778046447254131513863660361617142062017839354320168505704399283619892060046895905392871054248054753201409632462850463438004757128270250508288 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 #s(literal -1/4 binary64) (.f64 a b))) (if (<=.f64 (.f64 z t) #s(literal 2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 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) (.f64 #s(literal -1/4 binary64) (*.f64 a b)))))
(if (<=.f64 (.f64 z t) #s(literal -199999999999999998162358290876441340593413244329265374907560585004311481443940385202244130951933522596175198521314575255774034862338944188470905366461433652815124969188330464270599473687582276175966043542804182916112239152873896668045508608 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c) (if (<=.f64 (.f64 z t) #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392000 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)))
(if (<=.f64 (.f64 x y) #s(literal -99999999999999991433150857216 binary64)) (fma.f64 y x c) (if (<=.f64 (.f64 x y) #s(literal 1999999999999999890644667736494890251419293140042495849331683229696 binary64)) (fma.f64 (*.f64 b #s(literal -1/4 binary64)) a c) (fma.f64 y x c)))
(if (<=.f64 (.f64 z t) #s(literal -100000000000000000 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c) (if (<=.f64 (.f64 z t) #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392000 binary64)) (fma.f64 y x c) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c)))
(if (<=.f64 (.f64 a b) #s(literal -40000000000000002391323129842064607406997161009352362834945437993288032823004523745242241364266405613782727968977294165463537811456 binary64)) (.f64 a (.f64 b #s(literal -1/4 binary64))) (if (<=.f64 (.f64 a b) #s(literal 399999999999999989496250829596412773563881308207740576231547411151508508203414901578494580090489072419947256076163017835917030949827184651039678911228917994269244570415225243191533998169956972807307735798251235796179183085925898911744 binary64)) (fma.f64 y x c) (.f64 a (.f64 b #s(literal -1/4 binary64)))))
(if (<=.f64 (.f64 z t) #s(literal -1999999999999999968690075053594844794467049550398674105839167574826260825778046447254131513863660361617142062017839354320168505704399283619892060046895905392871054248054753201409632462850463438004757128270250508288 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 t z)) (if (<=.f64 (.f64 z t) #s(literal 2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) (fma.f64 y x c) (.f64 #s(literal 1/16 binary64) (.f64 t z))))
(fma.f64 y x c)
(if (<=.f64 (.f64 x y) #s(literal -820000000000000000000 binary64)) (.f64 x y) (if (<=.f64 (.f64 x y) #s(literal 1249999999999999912649918365788049660584166437673721061576987107705903729103864237970245448361781808447153504256 binary64)) c (.f64 x y)))
c

Outputs
(if (<=.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (.f64 a b) #s(literal 4 binary64))) #s(literal +inf.0 binary64)) (+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (.f64 a b) #s(literal 4 binary64))) c) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 #s(literal -1/4 binary64) (*.f64 a b))))
(if (<=.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (.f64 a b) #s(literal 4 binary64))) #s(literal +inf.0 binary64)) (+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (.f64 a b) #s(literal 4 binary64))) c) (fma.f64 #s(literal 1/16 binary64) (.f64 z t) (.f64 (*.f64 a b) #s(literal -1/4 binary64))))
(if (<=.f64 (.f64 z t) #s(literal -100000000000000000 binary64)) (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 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392000 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 -100000000000000000 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 z t) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) c)) (if (<=.f64 (.f64 z t) #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392000 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)) (fma.f64 #s(literal 1/16 binary64) (.f64 z t) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c))))
(if (<=.f64 (.f64 z t) #s(literal -1999999999999999968690075053594844794467049550398674105839167574826260825778046447254131513863660361617142062017839354320168505704399283619892060046895905392871054248054753201409632462850463438004757128270250508288 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) (.f64 #s(literal -1/4 binary64) (.f64 a b))) (if (<=.f64 (.f64 z t) #s(literal 2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 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) (.f64 #s(literal -1/4 binary64) (*.f64 a b)))))
(if (<=.f64 (.f64 z t) #s(literal -1999999999999999968690075053594844794467049550398674105839167574826260825778046447254131513863660361617142062017839354320168505704399283619892060046895905392871054248054753201409632462850463438004757128270250508288 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 z t) (.f64 (.f64 a b) #s(literal -1/4 binary64))) (if (<=.f64 (.f64 z t) #s(literal 2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)) (fma.f64 #s(literal 1/16 binary64) (.f64 z t) (.f64 (*.f64 a b) #s(literal -1/4 binary64)))))
(if (<=.f64 (.f64 z t) #s(literal -199999999999999998162358290876441340593413244329265374907560585004311481443940385202244130951933522596175198521314575255774034862338944188470905366461433652815124969188330464270599473687582276175966043542804182916112239152873896668045508608 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c) (if (<=.f64 (.f64 z t) #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392000 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)))
(if (<=.f64 (.f64 z t) #s(literal -199999999999999998162358290876441340593413244329265374907560585004311481443940385202244130951933522596175198521314575255774034862338944188470905366461433652815124969188330464270599473687582276175966043542804182916112239152873896668045508608 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 z t) c) (if (<=.f64 (.f64 z t) #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392000 binary64)) (fma.f64 a (.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)) (fma.f64 #s(literal 1/16 binary64) (*.f64 z t) c)))
(if (<=.f64 (.f64 x y) #s(literal -99999999999999991433150857216 binary64)) (fma.f64 y x c) (if (<=.f64 (.f64 x y) #s(literal 1999999999999999890644667736494890251419293140042495849331683229696 binary64)) (fma.f64 (*.f64 b #s(literal -1/4 binary64)) a c) (fma.f64 y x c)))
(if (<=.f64 (.f64 z t) #s(literal -100000000000000000 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c) (if (<=.f64 (.f64 z t) #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392000 binary64)) (fma.f64 y x c) (fma.f64 #s(literal 1/16 binary64) (.f64 t z) c)))
(if (<=.f64 (.f64 z t) #s(literal -100000000000000000 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 z t) c) (if (<=.f64 (.f64 z t) #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392000 binary64)) (fma.f64 y x c) (fma.f64 #s(literal 1/16 binary64) (.f64 z t) c)))
(if (<=.f64 (.f64 a b) #s(literal -40000000000000002391323129842064607406997161009352362834945437993288032823004523745242241364266405613782727968977294165463537811456 binary64)) (.f64 a (.f64 b #s(literal -1/4 binary64))) (if (<=.f64 (.f64 a b) #s(literal 399999999999999989496250829596412773563881308207740576231547411151508508203414901578494580090489072419947256076163017835917030949827184651039678911228917994269244570415225243191533998169956972807307735798251235796179183085925898911744 binary64)) (fma.f64 y x c) (.f64 a (.f64 b #s(literal -1/4 binary64)))))
(if (<=.f64 (.f64 z t) #s(literal -1999999999999999968690075053594844794467049550398674105839167574826260825778046447254131513863660361617142062017839354320168505704399283619892060046895905392871054248054753201409632462850463438004757128270250508288 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 t z)) (if (<=.f64 (.f64 z t) #s(literal 2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) (fma.f64 y x c) (.f64 #s(literal 1/16 binary64) (.f64 t z))))
(if (<=.f64 (.f64 z t) #s(literal -1999999999999999968690075053594844794467049550398674105839167574826260825778046447254131513863660361617142062017839354320168505704399283619892060046895905392871054248054753201409632462850463438004757128270250508288 binary64)) (.f64 (.f64 z t) #s(literal 1/16 binary64)) (if (<=.f64 (.f64 z t) #s(literal 2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) (fma.f64 y x c) (.f64 (.f64 z t) #s(literal 1/16 binary64))))
(fma.f64 y x c)
(if (<=.f64 (.f64 x y) #s(literal -820000000000000000000 binary64)) (.f64 x y) (if (<=.f64 (.f64 x y) #s(literal 1249999999999999912649918365788049660584166437673721061576987107705903729103864237970245448361781808447153504256 binary64)) c (.f64 x y)))
c

soundness1.0s (11.9%)

Memory

43.8MiB live, 660.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	55	39
2	486	39
3	7244	39
0	8509	34
0	128	1592
1	418	1592
2	1266	1592
3	3305	1580
4	6318	1580
0	8142	1404
0	203	3090
1	683	3054
2	2202	3012
3	6755	3006
0	8507	2695

Stop Event

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

Compiler

Compiled 689 to 364 computations (47.2% saved)

preprocess109.0ms (1.3%)

Memory

-16.9MiB live, 177.0MiB allocated

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 958 to 322 computations (66.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

sample1.3s (15.5%)

preprocess183.0ms (2.2%)

explain244.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify113.0ms (1.3%)

localize42.0ms (0.5%)

series19.0ms (0.2%)

rewrite371.0ms (4.4%)

simplify597.0ms (7.1%)

eval92.0ms (1.1%)

prune173.0ms (2%)

simplify9.0ms (0.1%)

localize45.0ms (0.5%)

series7.0ms (0.1%)

rewrite468.0ms (5.5%)

simplify259.0ms (3.1%)

eval69.0ms (0.8%)

prune76.0ms (0.9%)

simplify13.0ms (0.2%)

localize55.0ms (0.6%)

series6.0ms (0.1%)

rewrite500.0ms (5.9%)

simplify410.0ms (4.9%)

eval86.0ms (1%)

prune76.0ms (0.9%)

simplify5.0ms (0.1%)

localize37.0ms (0.4%)

series4.0ms (0%)

rewrite456.0ms (5.4%)

simplify410.0ms (4.9%)

eval51.0ms (0.6%)

prune63.0ms (0.7%)

regimes91.0ms (1.1%)

regimes475.0ms (5.6%)

regimes9.0ms (0.1%)

regimes104.0ms (1.2%)

regimes130.0ms (1.5%)

regimes124.0ms (1.5%)

regimes14.0ms (0.2%)

regimes14.0ms (0.2%)

regimes32.0ms (0.4%)

regimes29.0ms (0.3%)

regimes22.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch18.0ms (0.2%)

simplify15.0ms (0.2%)

soundness1.0s (11.9%)

preprocess109.0ms (1.3%)

end0.0ms (0%)

Profiling