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

analyze1.0ms (0%)

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 25 to 18 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.6s (16%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 548.0ms

ival-mult: 197.0ms (36% of total)

ival-div: 144.0ms (26.3% of total)

ival-add: 142.0ms (25.9% of total)

ival-sub: 46.0ms (8.4% of total)

const: 16.0ms (2.9% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess250.0ms (2.6%)

Algorithm

2×	egg-herbie

Rules

3370×	`sum3-define`
2010×	`fmsub-define`
1952×	`fnmsub-define`
1920×	`fma-lowering-fma.f32`
1920×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	595
1	498	550
2	1639	536
3	5264	536
4	7715	536
0	17	16
1	33	15
2	90	14
3	241	14
4	583	14
5	1853	14
6	3318	14
7	5940	14
0	8025	14

Stop Event

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

Call 2

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

Outputs
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c)
(+ (fnmadd a (* b 1/4) (fma x y (* z (/ t 16)))) c)
(+ (- (+ (* (neg x) y) (/ (* z t) 16)) (/ (* a b) 4)) c)
(fnmadd x y (fmsub z (/ t 16) (fmsub a (* b 1/4) c)))
(+ (- (+ (* x (neg y)) (/ (* z t) 16)) (/ (* a b) 4)) c)
(fnmadd x y (fmsub z (/ t 16) (fmsub a (* b 1/4) c)))
(+ (- (+ (* x y) (/ (* (neg z) t) 16)) (/ (* a b) 4)) c)
(fnmadd z (/ t 16) (fmsub x y (fmsub a (* b 1/4) c)))
(+ (- (+ (* x y) (/ (* z (neg t)) 16)) (/ (* a b) 4)) c)
(fnmadd z (/ t 16) (fmsub x y (fmsub a (* b 1/4) c)))
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* (neg a) b) 4)) c)
(+ c (fnmadd a (* b -1/4) (fma x y (* z (/ t 16)))))
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a (neg b)) 4)) c)
(+ c (fnmadd a (* b -1/4) (fma x y (* z (/ t 16)))))
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) (neg c))
(+ (fma x y (* z (/ t 16))) (fnmsub a (* b 1/4) c))
(neg (+ (- (+ (* (neg x) y) (/ (* z t) 16)) (/ (* a b) 4)) c))
(+ (fnmadd z (/ t 16) (* x y)) (fmsub a (* b 1/4) c))
(neg (+ (- (+ (* x (neg y)) (/ (* z t) 16)) (/ (* a b) 4)) c))
(+ (fnmadd z (/ t 16) (* x y)) (fmsub a (* b 1/4) c))
(neg (+ (- (+ (* x y) (/ (* (neg z) t) 16)) (/ (* a b) 4)) c))
(+ (fmsub z (/ t 16) (* x y)) (fmsub a (* b 1/4) c))
(neg (+ (- (+ (* x y) (/ (* z (neg t)) 16)) (/ (* a b) 4)) c))
(+ (fmsub z (/ t 16) (* x y)) (fmsub a (* b 1/4) c))
(neg (+ (- (+ (* x y) (/ (* z t) 16)) (/ (* (neg a) b) 4)) c))
(- (* z (* t -1/16)) (fmsub x y (fnmsub a (* b 1/4) c)))
(neg (+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a (neg b)) 4)) c))
(- (* z (* t -1/16)) (fmsub x y (fnmsub a (* b 1/4) c)))
(neg (+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) (neg c)))
(- c (fnmadd a (* b 1/4) (fma x y (* z (/ t 16)))))
(+ (- (+ (* y x) (/ (* z t) 16)) (/ (* a b) 4)) c)
(+ (fnmadd a (* b 1/4) (fma x y (* z (/ t 16)))) c)
(+ (- (+ (* z y) (/ (* x t) 16)) (/ (* a b) 4)) c)
(+ c (fnmadd a (* b 1/4) (fma x (/ t 16) (* y z))))
(+ (- (+ (* t y) (/ (* z x) 16)) (/ (* a b) 4)) c)
(+ (* y t) (fmsub x (/ z 16) (fmsub a (* b 1/4) c)))
(+ (- (+ (* a y) (/ (* z t) 16)) (/ (* x b) 4)) c)
(+ c (fnmadd x (* b 1/4) (fma y a (* z (/ t 16)))))
(+ (- (+ (* b y) (/ (* z t) 16)) (/ (* a x) 4)) c)
(+ (fma y b (* z (/ t 16))) (fnmadd x (* a 1/4) c))
(+ (- (+ (* c y) (/ (* z t) 16)) (/ (* a b) 4)) x)
(+ x (fnmadd a (* b 1/4) (fma y c (* z (/ t 16)))))
(+ (- (+ (* x z) (/ (* y t) 16)) (/ (* a b) 4)) c)
(+ (* x z) (fmsub y (/ t 16) (fmsub a (* b 1/4) c)))
(+ (- (+ (* x t) (/ (* z y) 16)) (/ (* a b) 4)) c)
(+ c (fnmadd a (* b 1/4) (fma z (/ y 16) (* x t))))
(+ (- (+ (* x a) (/ (* z t) 16)) (/ (* y b) 4)) c)
(sum4 (* z (/ t 16)) (* x a) (* y (* b -1/4)) c)
(+ (- (+ (* x b) (/ (* z t) 16)) (/ (* a y) 4)) c)
(+ c (fnmadd y (* a 1/4) (fma x b (* z (/ t 16)))))
(+ (- (+ (* x c) (/ (* z t) 16)) (/ (* a b) 4)) y)
(+ (* z (/ t 16)) (fmsub x c (fmsub a (* b 1/4) y)))
(+ (- (+ (* x y) (/ (* t z) 16)) (/ (* a b) 4)) c)
(+ (fnmadd a (* b 1/4) (fma x y (* z (/ t 16)))) c)
(+ (- (+ (* x y) (/ (* a t) 16)) (/ (* z b) 4)) c)
(+ (fma a (/ t 16) (* x y)) (fnmadd z (* b 1/4) c))
(+ (- (+ (* x y) (/ (* b t) 16)) (/ (* a z) 4)) c)
(+ (* x y) (fmsub t (/ b 16) (fmsub z (* a 1/4) c)))
(+ (- (+ (* x y) (/ (* c t) 16)) (/ (* a b) 4)) z)
(+ (* x y) (fmsub t (* c 1/16) (fmsub a (* b 1/4) z)))
(+ (- (+ (* x y) (/ (* z a) 16)) (/ (* t b) 4)) c)
(sum4 (* x y) (* z (* a 1/16)) (* t (* b -1/4)) c)
(+ (- (+ (* x y) (/ (* z b) 16)) (/ (* a t) 4)) c)
(sum4 (* x y) (* b (/ z 16)) (* t (* a -1/4)) c)
(+ (- (+ (* x y) (/ (* z c) 16)) (/ (* a b) 4)) t)
(+ (* x y) (fmsub z (* c 1/16) (fmsub a (* b 1/4) t)))
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* b a) 4)) c)
(+ (fnmadd a (* b 1/4) (fma x y (* z (/ t 16)))) c)
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* c b) 4)) a)
(sum3 (* z (/ t 16)) (fmsub x y (* c (* b 1/4))) a)
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a c) 4)) b)
(+ b (fnmadd a (* c 1/4) (fma x y (* z (/ t 16)))))

Symmetry

(sort x y)

(sort z t)

(sort a b)

explain320.0ms (3.3%)

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

Results

152.0ms

512×

valid

Compiler

Compiled 178 to 53 computations (70.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-div: 36.0ms (59.8% of total)

ival-mult: 12.0ms (19.9% of total)

ival-add: 9.0ms (14.9% of total)

ival-sub: 2.0ms (3.3% of total)

const: 1.0ms (1.7% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 24 to 17 computations (29.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (+.f64 (/.f64 (.f64 z t) #s(literal 16 binary64)) (+.f64 (*.f64 x y) c)))

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

144×	`fma-define`
140×	`fma-lowering-fma.f32`
140×	`fma-lowering-fma.f64`
120×	`sum3-define`
100×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	58
1	32	55
2	74	55
3	168	55
4	256	55
5	267	55
0	267	55

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize81.0ms (0.8%)

Localize:

Found 4 expressions of interest:

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

Results

54.0ms

256×

valid

Compiler

Compiled 69 to 18 computations (73.9% saved)

Precisions

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

ival-mult: 6.0ms (38.8% of total)

ival-add: 5.0ms (32.4% of total)

ival-div: 4.0ms (25.9% of total)

const: 1.0ms (6.5% of total)

backward-pass: 0.0ms (0% of total)

series20.0ms (0.2%)

Counts

6 → 252

Calls

Call 1

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

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

Calls

63 calls:

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

rewrite304.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4490×	`-lowering-.f32`
4490×	`-lowering-.f64`
3894×	`/-lowering-/.f32`
3894×	`/-lowering-/.f64`
916×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	51	40
2	222	40
3	1291	40
4	7767	40
0	8097	40

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 254

Calls

Call 1

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

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

simplify244.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

4252×	`-lowering-.f32`
4252×	`-lowering-.f64`
2054×	`+-lowering-+.f64`
2054×	`+-lowering-+.f32`
1954×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	2502
1	664	2423
2	2395	2303
3	7552	2303
0	8291	2303

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

eval76.0ms (0.8%)

Compiler: Compiled 9104 to 849 computations (90.7% saved)

prune75.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	498	8	506
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	499	8	507

Accuracy

100.0%

Counts

507 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.0%	(+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (+.f64 (/.f64 (.f64 z t) #s(literal 16 binary64)) (*.f64 y (+.f64 x (/.f64 c y)))))
▶	52.6%	(+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (.f64 x y))
▶	52.5%	(+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
	75.0%	(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (+.f64 c (*.f64 x y)))
	29.0%	(*.f64 x y)
	26.7%	(.f64 #s(literal 1/16 binary64) (.f64 t z))
▶	28.3%	(.f64 #s(literal -1/4 binary64) (.f64 a b))
▶	24.8%	c

Compiler

Compiled 240 to 184 computations (23.3% saved)

simplify429.0ms (4.4%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

5916×	`-lowering-.f32`
5916×	`-lowering-.f64`
3720×	`cube-prod`
1702×	`/-lowering-/.f32`
1702×	`/-lowering-/.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	142
1	52	137
2	118	137
3	210	134
4	314	128
5	382	128
6	407	128
7	497	128
8	1025	128
9	2284	128
10	3156	128
11	3577	128
12	4043	128
13	4462	128
14	5019	128
15	5722	128
16	6122	128
17	6265	128
18	6323	128
19	6396	128
20	6473	128
21	7083	128
0	8145	128

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize260.0ms (2.7%)

Localize:

Found 14 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 1/16 binary64) (.f64 t z))
✓	accuracy	99.6%	(+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
✓	accuracy	100.0%	(/.f64 (*.f64 a b) #s(literal -4 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 a b)
✓	accuracy	98.7%	(+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (.f64 x y))
✓	accuracy	100.0%	(*.f64 a b)
✓	accuracy	100.0%	(.f64 #s(literal -1/4 binary64) (.f64 a b))
✓	accuracy	100.0%	(+.f64 x (/.f64 c y))
✓	accuracy	100.0%	(/.f64 (*.f64 z t) #s(literal 16 binary64))
✓	accuracy	98.3%	(+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (+.f64 (/.f64 (.f64 z t) #s(literal 16 binary64)) (*.f64 y (+.f64 x (/.f64 c y)))))
✓	accuracy	88.5%	(*.f64 y (+.f64 x (/.f64 c y)))

Results

144.0ms

256×

valid

Compiler

Compiled 150 to 27 computations (82% saved)

Precisions

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

ival-mult: 13.0ms (44.7% of total)

ival-div: 10.0ms (34.4% of total)

ival-add: 6.0ms (20.7% of total)

const: 1.0ms (3.4% of total)

backward-pass: 0.0ms (0% of total)

series18.0ms (0.2%)

Counts

12 → 420

Calls

Call 1

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

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

Calls

105 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	(* t z)
0.0ms	y	@	-inf	(* y (+ x (/ c y)))
0.0ms	y	@	0	(* y (+ x (/ c y)))
0.0ms	a	@	0	(+ (/ (* a b) -4) (+ (/ (* z t) 16) (* y (+ x (/ c y)))))
0.0ms	c	@	inf	(* y (+ x (/ c y)))

rewrite219.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2998×	`-lowering-.f32`
2998×	`-lowering-.f64`
2510×	`/-lowering-/.f32`
2510×	`/-lowering-/.f64`
1168×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	80
1	75	76
2	363	70
3	2127	70
0	8146	70

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 511

Calls

Call 1

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

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

simplify311.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

3592×	`-lowering-.f32`
3592×	`-lowering-.f64`
1980×	`fma-lowering-fma.f32`
1980×	`fma-lowering-fma.f64`
1706×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	208	3352
1	767	3301
2	2694	3271
3	6100	3265
0	8483	3265

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

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

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

eval171.0ms (1.8%)

Compiler: Compiled 17604 to 1346 computations (92.4% saved)

prune220.0ms (2.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1220	1	1221
Fresh	0	3	3
Picked	1	4	5
Done	0	0	0
Total	1221	8	1229

Accuracy

100.0%

Counts

1229 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.6%	(+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (.f64 x y))
✓	52.5%	(+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
▶	67.5%	(+.f64 (.f64 y (+.f64 x (/.f64 c y))) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
▶	75.0%	(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (+.f64 c (*.f64 x y)))
▶	29.0%	(*.f64 x y)
▶	26.7%	(.f64 #s(literal 1/16 binary64) (.f64 t z))
✓	28.3%	(.f64 #s(literal -1/4 binary64) (.f64 a b))
✓	24.8%	c

Compiler

Compiled 114 to 88 computations (22.8% saved)

simplify333.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

6340×	`-lowering-.f32`
6340×	`-lowering-.f64`
3720×	`cube-prod`
1690×	`/-lowering-/.f32`
1690×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	85
1	34	81
2	80	81
3	124	81
4	141	81
5	146	81
6	171	81
7	254	81
8	735	81
9	1922	81
10	2780	81
11	3149	81
12	3565	81
13	3977	81
14	4531	81
15	5228	81
16	5628	81
17	5771	81
18	5829	81
19	5902	81
20	5979	81
21	6572	81
22	7655	81
0	8009	81

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize155.0ms (1.6%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 t z)
✓	accuracy	100.0%	(+.f64 x (/.f64 c y))
✓	accuracy	100.0%	(.f64 #s(literal 1/16 binary64) (.f64 t z))
✓	accuracy	88.5%	(*.f64 y (+.f64 x (/.f64 c y)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 t z)
✓	accuracy	100.0%	(+.f64 c (*.f64 x y))
✓	accuracy	100.0%	(.f64 #s(literal 1/16 binary64) (.f64 t z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 t z)
✓	accuracy	100.0%	(.f64 #s(literal 1/16 binary64) (.f64 t z))

Results

132.0ms

256×

valid

Compiler

Compiled 99 to 18 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 52.0ms (85.8% of total)

ival-add: 5.0ms (8.2% of total)

ival-div: 3.0ms (4.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts

9 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
1.0ms	t	@	-inf	(* 1/16 (* t z))
0.0ms	c	@	-inf	(/ c y)
0.0ms	c	@	inf	(/ c y)
0.0ms	y	@	inf	(/ c y)
0.0ms	y	@	-inf	(/ c y)

rewrite243.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1566×	`+-lowering-+.f64`
1566×	`+-lowering-+.f32`
1328×	`-lowering-.f32`
1328×	`-lowering-.f64`
1258×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	42	45
2	138	45
3	415	45
4	1587	45
5	5584	45
0	8702	45

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 587

Calls

Call 1

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

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

simplify193.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2944×	`-lowering-.f32`
2944×	`-lowering-.f64`
1552×	`fmsub-define`
1366×	`fnmsub-define`
1162×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	1978
1	447	1907
2	1473	1829
3	4409	1781
0	8632	1781

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

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

Outputs
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* 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)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(+ c (* x y))
(+.f64 (*.f64 x y) c)
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (+.f64 (*.f64 x y) c))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (+.f64 (*.f64 x y) c))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (+.f64 (*.f64 x y) c))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* t (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))))
(.f64 t (+.f64 (.f64 #s(literal 1/16 binary64) z) (+.f64 (/.f64 c t) (/.f64 (*.f64 x y) t))))
(* t (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))))
(.f64 t (+.f64 (.f64 #s(literal 1/16 binary64) z) (+.f64 (/.f64 c t) (/.f64 (*.f64 x y) t))))
(* t (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))))
(.f64 t (+.f64 (.f64 #s(literal 1/16 binary64) z) (+.f64 (/.f64 c t) (/.f64 (*.f64 x y) t))))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* -1 (* t (+ (* -1 (/ (+ c (* x y)) t)) (* -1/16 z))))
(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (+.f64 (*.f64 x y) c))
(* -1 (* t (+ (* -1 (/ (+ c (* x y)) t)) (* -1/16 z))))
(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (+.f64 (*.f64 x y) c))
(* -1 (* t (+ (* -1 (/ (+ c (* x y)) t)) (* -1/16 z))))
(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (+.f64 (*.f64 x y) c))
(+ c (* x y))
(+.f64 (*.f64 x y) c)
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (+.f64 (*.f64 x y) c))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (+.f64 (*.f64 x y) c))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (+.f64 (*.f64 x y) c))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* z (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))))
(.f64 z (+.f64 (.f64 #s(literal 1/16 binary64) t) (+.f64 (/.f64 c z) (*.f64 x (/.f64 y z)))))
(* z (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))))
(.f64 z (+.f64 (.f64 #s(literal 1/16 binary64) t) (+.f64 (/.f64 c z) (*.f64 x (/.f64 y z)))))
(* z (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))))
(.f64 z (+.f64 (.f64 #s(literal 1/16 binary64) t) (+.f64 (/.f64 c z) (*.f64 x (/.f64 y z)))))
(* 1/16 (* t z))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(* -1 (* z (+ (* -1 (/ (+ c (* x y)) z)) (* -1/16 t))))
(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (+.f64 (*.f64 x y) c))
(* -1 (* z (+ (* -1 (/ (+ c (* x y)) z)) (* -1/16 t))))
(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (+.f64 (*.f64 x y) c))
(* -1 (* z (+ (* -1 (/ (+ c (* x y)) z)) (* -1/16 t))))
(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (+.f64 (*.f64 x y) c))
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eval171.0ms (1.8%)

Compiler: Compiled 15129 to 1433 computations (90.5% saved)

prune134.0ms (1.4%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	1108	3	1111
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	1109	10	1119

Accuracy

100.0%

Counts

1119 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.8%	(-.f64 c (.f64 (.f64 t z) #s(literal -1/16 binary64)))
✓	52.6%	(+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (.f64 x y))
✓	52.5%	(+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
✓	67.5%	(+.f64 (.f64 y (+.f64 x (/.f64 c y))) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
▶	51.7%	(+.f64 (.f64 y x) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
▶	51.8%	(+.f64 (*.f64 x y) c)
✓	29.0%	(*.f64 x y)
✓	26.7%	(.f64 #s(literal 1/16 binary64) (.f64 t z))
✓	28.3%	(.f64 #s(literal -1/4 binary64) (.f64 a b))
✓	24.8%	c

Compiler

Compiled 138 to 107 computations (22.5% saved)

simplify102.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

1116×	`fnmadd-define`
1004×	`fma-define`
822×	`sum3-define`
624×	`sum4-define`
592×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	53
1	33	53
2	72	52
3	155	52
4	247	52
5	388	52
6	804	52
7	1196	52
8	1728	52
9	3049	52
10	3472	52
11	3520	52
0	3520	52

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize82.0ms (0.8%)

Localize:

Found 9 expressions of interest:

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

Results

65.0ms

256×

valid

Compiler

Compiled 63 to 18 computations (71.4% saved)

Precisions

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

ival-mult: 9.0ms (64.2% of total)

ival-add: 3.0ms (21.4% of total)

ival-sub: 1.0ms (7.1% of total)

const: 1.0ms (7.1% of total)

backward-pass: 0.0ms (0% of total)

series5.0ms (0%)

Counts

8 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Expression
0.0ms	t	@	(- c (* (* t z) -1/16))
0.0ms	c	@	(- c (* (* t z) -1/16))
0.0ms	z	@	(- c (* (* t z) -1/16))
0.0ms	z	@	(* (* t z) -1/16)
0.0ms	t	@	(* (* t z) -1/16)

rewrite311.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2224×	`fnmadd-define`
1558×	`fma-define`
1486×	`prod-diff`
1442×	`fmm-def`
1166×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	33	38
2	72	37
3	155	37
4	275	37
5	566	37
6	2056	37
7	6731	37
0	8004	37

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 425

Calls

Call 1

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

Outputs
(+.f64 c (*.f64 x y))
(+.f64 (+.f64 c (*.f64 x y)) #s(literal 0 binary64))
(+.f64 (*.f64 x y) c)
(+.f64 #s(literal 0 binary64) (+.f64 c (*.f64 x y)))
(-.f64 c (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(-.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) c))
(fma.f64 x y c)
(fma.f64 x (+.f64 y (*.f64 #s(literal 0 binary64) y)) c)
(fma.f64 x (-.f64 y (*.f64 #s(literal 0 binary64) y)) c)
(fma.f64 y x c)
(fma.f64 y (+.f64 x (*.f64 #s(literal 0 binary64) x)) c)
(fma.f64 y (-.f64 x (*.f64 #s(literal 0 binary64) x)) c)
(fma.f64 c #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) c)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) c) (*.f64 x y))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y)) c)
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x) c)
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y) c)
(fma.f64 (-.f64 #s(literal 0 binary64) c) #s(literal -1 binary64) (*.f64 x y))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal -1 binary64) c)
(fma.f64 #s(literal 1 binary64) c (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) c)
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x) c)
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y) c)
(neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (-.f64 #s(literal 0 binary64) c)))
(.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (.f64 x y))))
(.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (-.f64 #s(literal 0 binary64) c)))
(.f64 #s(literal 1 binary64) (+.f64 c (.f64 x y)))
(+.f64 (*.f64 x y) #s(literal 0 binary64))
(+.f64 (*.f64 x y) (fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) #s(literal 0 binary64)))
(+.f64 (.f64 x y) (fma.f64 (neg.f64 (.f64 #s(literal 0 binary64) y)) x #s(literal 0 binary64)))
(+.f64 (.f64 x y) (fma.f64 (neg.f64 (.f64 #s(literal 0 binary64) x)) y #s(literal 0 binary64)))
(+.f64 (.f64 x y) (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (*.f64 x y) (fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) #s(literal 0 binary64)))
(+.f64 (+.f64 (.f64 x y) (.f64 #s(literal 1/16 binary64) (.f64 t z))) (.f64 t (*.f64 z #s(literal -1/16 binary64))))
(+.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (+.f64 (.f64 x y) (.f64 #s(literal 1/16 binary64) (*.f64 t z))))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(+.f64 (neg.f64 (.f64 (.f64 x y) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) (.f64 x y))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (.f64 x y))
(+.f64 (.f64 (.f64 (.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x y)))
(+.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 x y))
(+.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 x y))
(+.f64 (+.f64 (.f64 x y) (.f64 t (.f64 z #s(literal -1/16 binary64)))) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(+.f64 (+.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (.f64 x y)) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(-.f64 (*.f64 x y) #s(literal 0 binary64))
(-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (*.f64 x y)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(-.f64 (.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 x y))
(-.f64 (+.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (.f64 x y)) (.f64 t (*.f64 z #s(literal -1/16 binary64))))
(-.f64 (+.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (.f64 (.f64 x y) #s(literal 2 binary64)))) (*.f64 x y))
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 x (+.f64 y (*.f64 #s(literal 0 binary64) y)) #s(literal 0 binary64))
(fma.f64 x (-.f64 y (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(fma.f64 x (-.f64 y (*.f64 #s(literal 0 binary64) y)) #s(literal 0 binary64))
(fma.f64 y x #s(literal 0 binary64))
(fma.f64 y (+.f64 x (*.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))
(fma.f64 y (-.f64 x (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(fma.f64 y (-.f64 x (*.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) #s(literal 0 binary64))
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(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) y) y) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 t (.f64 z #s(literal -1/16 binary64))) (+.f64 (.f64 x y) (.f64 #s(literal 1/16 binary64) (*.f64 t z))))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 x y)
(.f64 x (+.f64 y (.f64 #s(literal 0 binary64) y)))
(.f64 x (-.f64 y (.f64 #s(literal 0 binary64) y)))
(*.f64 y x)
(.f64 y (+.f64 x (.f64 #s(literal 0 binary64) x)))
(.f64 y (-.f64 x (.f64 #s(literal 0 binary64) x)))
(.f64 (.f64 x y) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) #s(literal 0 binary64))
(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (fma.f64 (neg.f64 (*.f64 #s(literal 0 binary64) y)) x #s(literal 0 binary64)))
(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (fma.f64 (neg.f64 (*.f64 #s(literal 0 binary64) x)) y #s(literal 0 binary64)))
(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) #s(literal 0 binary64)))
(+.f64 (+.f64 (.f64 x y) (.f64 #s(literal 1/16 binary64) (.f64 t z))) (-.f64 #s(literal 0 binary64) (.f64 x y)))
(+.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (.f64 (.f64 t z) #s(literal 1/8 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 #s(literal 1/16 binary64) (.f64 t z)))
(+.f64 (.f64 (.f64 t z) #s(literal 1/8 binary64)) (.f64 t (.f64 z #s(literal -1/16 binary64))))
(+.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (-.f64 #s(literal 0 binary64) (.f64 x y))) (.f64 x y))
(+.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 t z) #s(literal 1/8 binary64))) (.f64 t (.f64 z #s(literal -1/16 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 t z) #s(literal -1/8 binary64))) (.f64 t (.f64 z #s(literal -1/16 binary64))))
(-.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) #s(literal 0 binary64))
(-.f64 (+.f64 (.f64 x y) (.f64 #s(literal 1/16 binary64) (.f64 t z))) (.f64 x y))
(-.f64 #s(literal 0 binary64) (.f64 t (.f64 z #s(literal -1/16 binary64))))
(-.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (.f64 x y)) (-.f64 #s(literal 0 binary64) (.f64 x y)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(fma.f64 t #s(literal 0 binary64) (.f64 #s(literal 1/16 binary64) (.f64 t z)))
(fma.f64 t (*.f64 #s(literal 1/16 binary64) z) #s(literal 0 binary64))
(fma.f64 z #s(literal 0 binary64) (.f64 #s(literal 1/16 binary64) (.f64 t z)))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) #s(literal 0 binary64))
(fma.f64 (*.f64 t z) #s(literal 1/16 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 t z) #s(literal 0 binary64) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(fma.f64 #s(literal -1/16 binary64) (-.f64 #s(literal 0 binary64) (*.f64 t z)) #s(literal 0 binary64))
(fma.f64 #s(literal -1/16 binary64) #s(literal 0 binary64) (.f64 #s(literal 1/16 binary64) (.f64 t z)))
(fma.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 t z)) #s(literal -1/16 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 z #s(literal -1/16 binary64)) #s(literal 0 binary64) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(fma.f64 (*.f64 z #s(literal -1/16 binary64)) (-.f64 #s(literal 0 binary64) t) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) t (.f64 #s(literal 1/16 binary64) (.f64 t z)))
(fma.f64 #s(literal 0 binary64) (.f64 t (.f64 z #s(literal -1/16 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 t z)))
(fma.f64 #s(literal 0 binary64) (.f64 z #s(literal -1/16 binary64)) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(fma.f64 #s(literal 0 binary64) (.f64 t #s(literal -1/16 binary64)) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(fma.f64 #s(literal -1 binary64) (.f64 t (.f64 z #s(literal -1/16 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (.f64 x y)) (-.f64 #s(literal 0 binary64) (.f64 x y)))
(fma.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 z #s(literal -1/16 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 t #s(literal -1/16 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/16 binary64) z) t #s(literal 0 binary64))
(fma.f64 (.f64 t #s(literal -1/16 binary64)) #s(literal 0 binary64) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(fma.f64 (*.f64 t #s(literal -1/16 binary64)) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/16 binary64) t) z #s(literal 0 binary64))
(fma.f64 (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (.f64 x y)) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x y)))
(neg.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))))
(.f64 #s(literal 1/16 binary64) (.f64 t z))
(.f64 t (.f64 #s(literal 1/16 binary64) z))
(.f64 z (.f64 #s(literal 1/16 binary64) t))
(.f64 (.f64 t z) #s(literal 1/16 binary64))
(.f64 #s(literal -1/16 binary64) (-.f64 #s(literal 0 binary64) (.f64 t z)))
(.f64 (.f64 t (*.f64 z #s(literal -1/16 binary64))) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 t z)) #s(literal -1/16 binary64))
(.f64 (.f64 z #s(literal -1/16 binary64)) (-.f64 #s(literal 0 binary64) t))
(.f64 #s(literal -1 binary64) (.f64 t (*.f64 z #s(literal -1/16 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) t) (.f64 z #s(literal -1/16 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 t #s(literal -1/16 binary64)))
(.f64 (.f64 #s(literal 1/16 binary64) z) t)
(.f64 (.f64 t #s(literal -1/16 binary64)) (-.f64 #s(literal 0 binary64) z))
(.f64 (.f64 #s(literal 1/16 binary64) t) z)
(+.f64 (*.f64 t z) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 t z))
(-.f64 (*.f64 t z) #s(literal 0 binary64))
(fma.f64 t z #s(literal 0 binary64))
(fma.f64 z t #s(literal 0 binary64))
(*.f64 t z)
(*.f64 z t)
(+.f64 c (.f64 #s(literal 1/16 binary64) (.f64 t z)))
(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) c)
(+.f64 #s(literal 0 binary64) (-.f64 c (.f64 t (.f64 z #s(literal -1/16 binary64)))))
(+.f64 (-.f64 c (.f64 t (.f64 z #s(literal -1/16 binary64)))) #s(literal 0 binary64))
(+.f64 (-.f64 c (.f64 t (.f64 z #s(literal -1/16 binary64)))) (-.f64 c c))
(+.f64 (-.f64 c (.f64 t (.f64 z #s(literal -1/16 binary64)))) (-.f64 (-.f64 c c) #s(literal 0 binary64)))
(+.f64 (-.f64 c c) (-.f64 c (.f64 t (.f64 z #s(literal -1/16 binary64)))))
(-.f64 c (.f64 t (.f64 z #s(literal -1/16 binary64))))
(-.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (-.f64 #s(literal 0 binary64) c))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) c))
(-.f64 (-.f64 c (.f64 t (.f64 z #s(literal -1/16 binary64)))) #s(literal 0 binary64))
(fma.f64 c #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (.f64 t z)))
(fma.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 #s(literal -1/16 binary64) (-.f64 #s(literal 0 binary64) (*.f64 t z)) c)
(fma.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) #s(literal -1 binary64) c)
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 t z)) #s(literal -1/16 binary64) c)
(fma.f64 (*.f64 z #s(literal -1/16 binary64)) (-.f64 #s(literal 0 binary64) t) c)
(fma.f64 #s(literal -1 binary64) (.f64 t (.f64 z #s(literal -1/16 binary64))) c)
(fma.f64 #s(literal -1 binary64) (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) c) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) c) (-.f64 c c))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) c) (.f64 #s(literal 1/16 binary64) (.f64 t z)))
(fma.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 z #s(literal -1/16 binary64)) c)
(fma.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 t #s(literal -1/16 binary64)) c)
(fma.f64 (*.f64 #s(literal 1/16 binary64) z) t c)
(fma.f64 (*.f64 t #s(literal -1/16 binary64)) (-.f64 #s(literal 0 binary64) z) c)
(fma.f64 (*.f64 #s(literal 1/16 binary64) t) z c)
(fma.f64 (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) c) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) c) #s(literal -1 binary64) (-.f64 c c))
(fma.f64 (-.f64 #s(literal 0 binary64) c) #s(literal -1 binary64) (.f64 #s(literal 1/16 binary64) (.f64 t z)))
(fma.f64 #s(literal 1 binary64) c (.f64 #s(literal 1/16 binary64) (.f64 t z)))
(neg.f64 (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) c))
(.f64 #s(literal -1 binary64) (-.f64 (.f64 t (*.f64 z #s(literal -1/16 binary64))) c))
(.f64 (-.f64 (.f64 t (*.f64 z #s(literal -1/16 binary64))) c) #s(literal -1 binary64))
(+.f64 (.f64 x y) (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (.f64 x y)))
(+.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) #s(literal 0 binary64))
(+.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) #s(literal 0 binary64)))
(+.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (fma.f64 (neg.f64 (*.f64 #s(literal 0 binary64) y)) x #s(literal 0 binary64)))
(+.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (fma.f64 (neg.f64 (*.f64 #s(literal 0 binary64) x)) y #s(literal 0 binary64)))
(+.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) #s(literal 0 binary64)))
(+.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (fma.f64 #s(literal 0 binary64) t #s(literal 0 binary64)))
(+.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (fma.f64 #s(literal 0 binary64) z #s(literal 0 binary64)))
(+.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (fma.f64 #s(literal 0 binary64) (*.f64 t z) #s(literal 0 binary64)))
(+.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (fma.f64 #s(literal 0 binary64) #s(literal -1/16 binary64) #s(literal 0 binary64)))
(+.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (fma.f64 #s(literal 0 binary64) (*.f64 z #s(literal -1/16 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (fma.f64 #s(literal 0 binary64) (*.f64 t #s(literal -1/16 binary64)) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 t (.f64 z #s(literal -1/16 binary64))))
(+.f64 (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (.f64 x y)) (.f64 x y))
(+.f64 (.f64 (.f64 t z) #s(literal -1/8 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 t z)))
(+.f64 (+.f64 (.f64 x y) (.f64 t (.f64 z #s(literal -1/16 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 x y)))
(+.f64 (+.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (.f64 x y)) (-.f64 #s(literal 0 binary64) (.f64 x y)))
(-.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 #s(literal 1/16 binary64) (.f64 t z))))
(-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal 1/16 binary64) (.f64 t z)))
(-.f64 (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (.f64 x y)) (-.f64 #s(literal 0 binary64) (.f64 x y)))
(-.f64 (.f64 (.f64 t z) #s(literal -1/8 binary64)) (.f64 t (.f64 z #s(literal -1/16 binary64))))
(-.f64 (+.f64 (.f64 x y) (.f64 t (.f64 z #s(literal -1/16 binary64)))) (.f64 x y))
(-.f64 (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x y))) (.f64 x y))
(fma.f64 x y (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (*.f64 x y)))
(fma.f64 x (.f64 #s(literal 0 binary64) y) (.f64 t (*.f64 z #s(literal -1/16 binary64))))
(fma.f64 x (+.f64 y (.f64 #s(literal 0 binary64) y)) (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (.f64 x y)))
(fma.f64 x (-.f64 y (.f64 #s(literal 0 binary64) y)) (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (.f64 x y)))
(fma.f64 y x (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (*.f64 x y)))
(fma.f64 y (.f64 #s(literal 0 binary64) x) (.f64 t (*.f64 z #s(literal -1/16 binary64))))
(fma.f64 y (+.f64 x (.f64 #s(literal 0 binary64) x)) (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (.f64 x y)))
(fma.f64 y (-.f64 x (.f64 #s(literal 0 binary64) x)) (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (.f64 x y)))
(fma.f64 (.f64 x y) #s(literal 1 binary64) (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (.f64 x y)))
(fma.f64 t (*.f64 z #s(literal -1/16 binary64)) #s(literal 0 binary64))
(fma.f64 t (-.f64 (.f64 z #s(literal -1/16 binary64)) (.f64 #s(literal 1/16 binary64) z)) (.f64 #s(literal 1/16 binary64) (.f64 t z)))
(fma.f64 z (*.f64 t #s(literal -1/16 binary64)) #s(literal 0 binary64))
(fma.f64 z (+.f64 (*.f64 t #s(literal -1/16 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 z (-.f64 (*.f64 t #s(literal -1/16 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 z (-.f64 (.f64 t #s(literal -1/16 binary64)) (.f64 #s(literal 1/16 binary64) t)) (.f64 #s(literal 1/16 binary64) (.f64 t z)))
(fma.f64 (*.f64 t z) #s(literal -1/16 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 t z) #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(fma.f64 #s(literal -1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(fma.f64 #s(literal -1/16 binary64) (-.f64 (.f64 t z) (-.f64 #s(literal 0 binary64) (.f64 t z))) (.f64 #s(literal 1/16 binary64) (.f64 t z)))
(fma.f64 (*.f64 z #s(literal -1/16 binary64)) t #s(literal 0 binary64))
(fma.f64 (.f64 z #s(literal -1/16 binary64)) (-.f64 t (-.f64 #s(literal 0 binary64) t)) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(fma.f64 #s(literal 0 binary64) (.f64 x y) (.f64 t (*.f64 z #s(literal -1/16 binary64))))
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) (.f64 t (.f64 z #s(literal -1/16 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x y)) (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (.f64 x y)))
(fma.f64 (*.f64 t #s(literal -1/16 binary64)) z #s(literal 0 binary64))
(fma.f64 (.f64 t #s(literal -1/16 binary64)) (-.f64 z (-.f64 #s(literal 0 binary64) z)) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x) (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (*.f64 x y)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y) (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (*.f64 x y)))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) #s(literal -1 binary64) (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (.f64 x y)))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (.f64 x y)))
(fma.f64 #s(literal 1 binary64) (.f64 t (.f64 z #s(literal -1/16 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x) (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (.f64 x y)))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y) (-.f64 (.f64 t (.f64 z #s(literal -1/16 binary64))) (.f64 x y)))
(.f64 t (.f64 z #s(literal -1/16 binary64)))
(.f64 z (.f64 t #s(literal -1/16 binary64)))
(.f64 z (+.f64 (.f64 t #s(literal -1/16 binary64)) #s(literal 0 binary64)))
(.f64 z (-.f64 (.f64 t #s(literal -1/16 binary64)) #s(literal 0 binary64)))
(.f64 (.f64 t z) #s(literal -1/16 binary64))
(.f64 #s(literal -1/16 binary64) (.f64 t z))
(.f64 (.f64 z #s(literal -1/16 binary64)) t)
(.f64 (.f64 t #s(literal -1/16 binary64)) z)
(.f64 #s(literal 1 binary64) (.f64 t (*.f64 z #s(literal -1/16 binary64))))

simplify221.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

4740×	`-lowering-.f32`
4740×	`-lowering-.f64`
1850×	`times-frac`
1450×	`fmsub-define`
1072×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	96	1164
1	340	1110
2	1080	1110
3	3525	1110
0	8599	1110

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval79.0ms (0.8%)

Compiler: Compiled 7198 to 743 computations (89.7% saved)

prune108.0ms (1.1%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	696	0	696
Fresh	0	0	0
Picked	0	3	3
Done	0	7	7
Total	696	10	706

Accuracy

100.0%

Counts

706 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.8%	(-.f64 c (.f64 (.f64 t z) #s(literal -1/16 binary64)))
✓	52.6%	(+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (.f64 x y))
✓	52.5%	(+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
✓	67.5%	(+.f64 (.f64 y (+.f64 x (/.f64 c y))) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
✓	51.7%	(+.f64 (.f64 y x) (.f64 #s(literal 1/16 binary64) (*.f64 t z)))
✓	51.8%	(+.f64 (*.f64 x y) c)
✓	29.0%	(*.f64 x y)
✓	26.7%	(.f64 #s(literal 1/16 binary64) (.f64 t z))
✓	28.3%	(.f64 #s(literal -1/4 binary64) (.f64 a b))
✓	24.8%	c

Compiler

Compiled 277 to 149 computations (46.2% saved)

regimes83.0ms (0.8%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

15 calls:

8.0ms	(/.f64 (*.f64 z t) #s(literal 16 binary64))
8.0ms	(+.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	z
5.0ms	t
5.0ms	a

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`y`
98.0%	1	`z`
98.0%	1	`t`
98.0%	1	`a`
98.0%	1	`b`
98.0%	1	`c`
99.6%	2	`(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)`
99.6%	2	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))`
98.0%	1	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) #s(literal 16 binary64)))`
98.0%	1	`(*.f64 x y)`
98.0%	1	`(/.f64 (*.f64 z t) #s(literal 16 binary64))`
98.0%	1	`(*.f64 z t)`
98.0%	1	`(/.f64 (*.f64 a b) #s(literal 4 binary64))`
98.0%	1	`(*.f64 a b)`

Compiler

Compiled 172 to 138 computations (19.8% saved)

regimes43.0ms (0.4%)

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

9 calls:

6.0ms	(*.f64 x y)
4.0ms	a
4.0ms	c
4.0ms	z
4.0ms	b

Results

Accuracy	Segments	Branch
75.0%	1	`x`
78.8%	3	`y`
78.3%	3	`z`
75.0%	1	`t`
89.6%	4	`a`
85.9%	3	`b`
78.5%	3	`c`
75.0%	1	`(*.f64 x y)`
92.0%	3	`(*.f64 a b)`

Compiler

Compiled 76 to 65 computations (14.5% saved)

regimes4.0ms (0%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

(*.f64 a b)

Results

Accuracy	Segments	Branch
91.1%	3	`(*.f64 a b)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes39.0ms (0.4%)

Counts

8 → 4

Calls

Call 1

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

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

Calls

9 calls:

9.0ms	(*.f64 a b)
6.0ms	x
3.0ms	b
3.0ms	a
3.0ms	t

Results

Accuracy	Segments	Branch
69.9%	3	`(*.f64 x y)`
65.6%	3	`x`
70.3%	5	`t`
71.5%	4	`z`
70.9%	4	`c`
64.6%	3	`y`
70.1%	5	`b`
72.8%	5	`a`
75.7%	4	`(*.f64 a b)`

Compiler

Compiled 76 to 65 computations (14.5% saved)

regimes4.0ms (0%)

Counts

7 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

(*.f64 a b)

Results

Accuracy	Segments	Branch
73.1%	4	`(*.f64 a b)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

(*.f64 a b)

Results

Accuracy	Segments	Branch
72.3%	4	`(*.f64 a b)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes15.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
51.8%	1	`c`
63.4%	3	`a`
51.8%	1	`(*.f64 x y)`
62.5%	3	`z`
68.6%	3	`(*.f64 a b)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes22.0ms (0.2%)

Counts

4 → 6

Calls

Call 1

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

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

Calls

9 calls:

4.0ms	x
2.0ms	t
2.0ms	y
2.0ms	z
2.0ms	b

Results

Accuracy	Segments	Branch
46.0%	5	`c`
48.4%	5	`(*.f64 x y)`
50.7%	6	`z`
50.1%	5	`a`
46.1%	5	`y`
43.7%	4	`x`
48.7%	5	`b`
49.7%	6	`t`
56.6%	6	`(*.f64 a b)`

Compiler

Compiled 76 to 65 computations (14.5% saved)

regimes2.0ms (0%)

Counts

3 → 6

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

(*.f64 a b)

Results

Accuracy	Segments	Branch
54.5%	6	`(*.f64 a b)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
c
(*.f64 x y)

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

Calls

5 calls:

2.0ms	z
2.0ms	a
2.0ms	b
2.0ms	t
1.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
31.2%	2	`t`
43.8%	3	`(*.f64 x y)`
33.3%	3	`b`
32.4%	3	`z`
33.8%	3	`a`

Compiler

Compiled 42 to 36 computations (14.3% saved)

regimes23.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
c

Outputs
c

Calls

7 calls:

15.0ms	c
1.0ms	z
1.0ms	x
1.0ms	a
1.0ms	t

Results

Accuracy	Segments	Branch
24.8%	1	`z`
24.8%	1	`t`
24.8%	1	`b`
24.8%	1	`a`
24.8%	1	`x`
24.8%	1	`c`
24.8%	1	`y`

Compiler

Compiled 56 to 49 computations (12.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 34 to 26 computations (23.5% saved)

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.300016944580039e+31	2.1879512641320275e+35
15.0ms	-4.018200753615483e+102	-1.7892853259556e+101

Results

24.0ms

240×

valid

Compiler

Compiled 558 to 430 computations (22.9% saved)

Precisions

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

ival-mult: 4.0ms (35.9% of total)

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

ival-add: 2.0ms (17.9% of total)

ival-sub: 1.0ms (9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch43.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.300016944580039e+31	2.1879512641320275e+35
20.0ms	-5.352843546644914e+273	-1.9000190097597877e+271

Results

29.0ms

256×

valid

Compiler

Compiled 546 to 426 computations (22% saved)

Precisions

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

ival-div: 4.0ms (31% of total)

ival-mult: 4.0ms (31% of total)

ival-add: 3.0ms (23.3% of total)

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch70.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.300016944580039e+31	2.1879512641320275e+35
20.0ms	-6.314351227971032e-16	-1.9977898079112448e-25
25.0ms	-1.252111808750188e+147	-7.9955577207263e+119

Results

49.0ms

448×

valid

Compiler

Compiled 880 to 684 computations (22.3% saved)

Precisions

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

ival-mult: 7.0ms (33.5% of total)

ival-div: 6.0ms (28.7% of total)

ival-add: 4.0ms (19.1% of total)

ival-sub: 2.0ms (9.6% of total)

const: 1.0ms (4.8% of total)

backward-pass: 0.0ms (0% of total)

bsearch66.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.753953774322623e+47	1.6946238783752963e+48
23.0ms	-6.314351227971032e-16	-1.9977898079112448e-25
23.0ms	-5.352843546644914e+273	-1.9000190097597877e+271

Results

48.0ms	367×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 672 to 537 computations (20.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 6.0ms (34.5% of total)

ival-div: 5.0ms (28.7% of total)

ival-add: 3.0ms (17.2% of total)

ival-sub: 2.0ms (11.5% of total)

const: 1.0ms (5.7% of total)

backward-pass: 0.0ms (0% of total)

bsearch45.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.753953774322623e+47	1.6946238783752963e+48
0.0ms	-1.83620658998e-312	-0.0
25.0ms	-1.0880864914587038e+254	-2.5071122252809633e+220

Results

32.0ms

272×

valid

Compiler

Compiled 464 to 388 computations (16.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 7.0ms (39.4% of total)

ival-add: 4.0ms (22.5% of total)

ival-mult: 4.0ms (22.5% of total)

ival-sub: 1.0ms (5.6% of total)

const: 1.0ms (5.6% of total)

backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.753953774322623e+47	1.6946238783752963e+48
19.0ms	-3.536205462171004e+209	-3.1730072428407216e+205

Results

24.0ms

224×

valid

Compiler

Compiled 370 to 306 computations (17.3% saved)

Precisions

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

ival-mult: 5.0ms (42% of total)

ival-div: 3.0ms (25.2% of total)

ival-add: 2.0ms (16.8% of total)

ival-sub: 1.0ms (8.4% of total)

const: 1.0ms (8.4% of total)

backward-pass: 0.0ms (0% of total)

bsearch106.0ms (1.1%)

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.1879512641320275e+35	8.51224909688932e+39
13.0ms	4.475978569809948e-180	1.916381134264647e-179
19.0ms	-3.5388588852962127e-301	-1.83620658998e-312
21.0ms	-6.314351227971032e-16	-1.9977898079112448e-25
25.0ms	-1.0880864914587038e+254	-2.5071122252809633e+220

Results

71.0ms

688×

valid

Compiler

Compiled 956 to 827 computations (13.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 11.0ms (32.4% of total)

ival-div: 10.0ms (29.4% of total)

ival-add: 8.0ms (23.5% of total)

ival-sub: 4.0ms (11.8% of total)

const: 1.0ms (2.9% of total)

backward-pass: 0.0ms (0% of total)

bsearch128.0ms (1.3%)

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.1879512641320275e+35	8.51224909688932e+39
14.0ms	4.475978569809948e-180	1.916381134264647e-179
21.0ms	-3.5388588852962127e-301	-1.83620658998e-312
11.0ms	-4.2492429181413075e+57	-1.3198950704716834e+57
57.0ms	-7.9955577207263e+119	-2.3024281528798973e+117

Results

99.0ms

576×

valid

Compiler

Compiled 770 to 662 computations (14% saved)

Precisions

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

ival-div: 9.0ms (31.7% of total)

ival-mult: 9.0ms (31.7% of total)

ival-add: 6.0ms (21.2% of total)

ival-sub: 3.0ms (10.6% of total)

const: 1.0ms (3.5% of total)

backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	8.85394811705977e+79	1.5268471441438663e+85
13.0ms	-9.56478556214231e+21	-1.5337576099444178e+21

Results

27.0ms

240×

valid

Compiler

Compiled 304 to 266 computations (12.5% saved)

Precisions

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

ival-div: 6.0ms (42.7% of total)

ival-mult: 4.0ms (28.5% of total)

ival-add: 2.0ms (14.2% of total)

ival-sub: 1.0ms (7.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

38×	`+-commutative_binary64`
32×	`*-commutative_binary64`
24×	`sub-neg_binary64`
20×	`neg-sub0_binary64`
20×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	391
1	142	391
2	167	391
3	189	391
4	206	391
5	215	391
6	217	391

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) (.f64 #s(literal -1/4 binary64) (.f64 a b)))
(if (<=.f64 (.f64 a b) #s(literal -599999999999999986229707959147201977068105631954490003677997584839196071308473946781956776688906928128 binary64)) (+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 t z))) (if (<=.f64 (.f64 a b) #s(literal 209999999999999989723720011885838336 binary64)) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (+.f64 c (.f64 x y))) (+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (.f64 x y))))
(if (<=.f64 (.f64 a b) #s(literal -19500000000000000677089567366247613602598627926278723677414127720086335047009483983569944702664924196955430612978520879124547180078871684614290025587686004489508437624863403492704985313682164523172235592691914957011894451156257849654853346375842577223449189774228600127488 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 a b)) (if (<=.f64 (.f64 a b) #s(literal 17499999999999999912257670728384512 binary64)) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (+.f64 c (.f64 x y))) (+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (*.f64 x y))))
(if (<=.f64 (.f64 a b) #s(literal -8400000000000000176053926516622016667641097915647912672269394194620656843508727201942662666684657704442901998039900094464 binary64)) (+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (.f64 x y)) (if (<=.f64 (.f64 a b) #s(literal -7656353255721115/21267647932558653966460912964485513216 binary64)) (+.f64 (.f64 y x) (.f64 #s(literal 1/16 binary64) (.f64 t z))) (if (<=.f64 (.f64 a b) #s(literal 116000000000000005215941840565436416 binary64)) (+.f64 (.f64 x y) c) (+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (*.f64 x y)))))
(if (<=.f64 (.f64 a b) #s(literal -359999999999999975540032240338354811266890629978034966048213589665576466453593472865258978539134807587311587536433587437110315030598430513825954115207774794211425154231791276592821033035842656616701703795442553938780732425517985387694084943875901761591732058652354877063168 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 a b)) (if (<=.f64 (.f64 a b) #s(literal -7269215601948759/5192296858534827628530496329220096 binary64)) (+.f64 (.f64 y x) (.f64 #s(literal 1/16 binary64) (.f64 t z))) (if (<=.f64 (.f64 a b) #s(literal 1650000000000000112910460231679066483040681197568 binary64)) (+.f64 (.f64 x y) c) (.f64 #s(literal -1/4 binary64) (*.f64 a b)))))
(if (<=.f64 (.f64 a b) #s(literal -310000000000000006420229808013426397510218503427860498991279389338126471325328714737778702613364748404868225192282889512388108110819106009305325183316280466448108633288981477953843977051886377128785895340888513411201105920 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 a b)) (if (<=.f64 (.f64 a b) #s(literal -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 c (.f64 (.f64 t z) #s(literal -1/16 binary64))) (if (<=.f64 (.f64 a b) #s(literal 1550000000000000027396237512564765051788271288320 binary64)) (+.f64 (.f64 x y) c) (.f64 #s(literal -1/4 binary64) (.f64 a b)))))
(if (<=.f64 (.f64 a b) #s(literal -43999999999999996721147986723613070588742945955195249265124368280271745416337538123422970732975297119581505158879165340305368972901269531061997292572973023167102899509379686758990065473828827183358138122240 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 a b)) (if (<=.f64 (.f64 a b) #s(literal 1650000000000000112910460231679066483040681197568 binary64)) (+.f64 (.f64 x y) c) (.f64 #s(literal -1/4 binary64) (*.f64 a b))))
(if (<=.f64 (.f64 a b) #s(literal -34999999999999998621189345050853221633418716727060817131275108787779450764497506186379636862608379025741573848682262515588513031194104283566446398322327895370312039634773611203358155915484153309269857221393922802971574272 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 a b)) (if (<=.f64 (.f64 a b) #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 t z)) (if (<=.f64 (.f64 a b) #s(literal -5186557740999835/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) c (if (<=.f64 (.f64 a b) #s(literal 5109933491736859/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664 binary64)) (.f64 x y) (if (<=.f64 (.f64 a b) #s(literal 2399999999999999924720786590031413248 binary64)) c (.f64 #s(literal -1/4 binary64) (.f64 a b)))))))
(if (<=.f64 (.f64 a b) #s(literal -15000000000000000058411183959361691414222842784406212272293004235005511803409687036178540912775637857262040051173294080 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 a b)) (if (<=.f64 (.f64 a b) #s(literal -3200000000000000294089072260588103618689102710901905031168 binary64)) (.f64 x y) (if (<=.f64 (.f64 a b) #s(literal -2223657568073481/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) c (if (<=.f64 (.f64 a b) #s(literal 7883897387251153/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328 binary64)) (.f64 x y) (if (<=.f64 (.f64 a b) #s(literal 39999999999999998155050632808484569088 binary64)) c (.f64 #s(literal -1/4 binary64) (*.f64 a b)))))))
(if (<=.f64 (.f64 x y) #s(literal -6000000000000000000000 binary64)) (.f64 x y) (if (<=.f64 (.f64 x y) #s(literal 14199999999999999345576777860105736406323467944790312898840394544963600426672848896 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) (.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) (.f64 (.f64 a b) #s(literal -1/4 binary64)))
(if (<=.f64 (.f64 a b) #s(literal -599999999999999986229707959147201977068105631954490003677997584839196071308473946781956776688906928128 binary64)) (+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 t z))) (if (<=.f64 (.f64 a b) #s(literal 209999999999999989723720011885838336 binary64)) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (+.f64 c (.f64 x y))) (+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (.f64 x y))))
(if (<=.f64 (.f64 a b) #s(literal -599999999999999986229707959147201977068105631954490003677997584839196071308473946781956776688906928128 binary64)) (+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 z t))) (if (<=.f64 (.f64 a b) #s(literal 209999999999999989723720011885838336 binary64)) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 z t)) (+.f64 (.f64 x y) c)) (+.f64 (.f64 x y) (/.f64 (.f64 a b) #s(literal -4 binary64)))))
(if (<=.f64 (.f64 a b) #s(literal -19500000000000000677089567366247613602598627926278723677414127720086335047009483983569944702664924196955430612978520879124547180078871684614290025587686004489508437624863403492704985313682164523172235592691914957011894451156257849654853346375842577223449189774228600127488 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 a b)) (if (<=.f64 (.f64 a b) #s(literal 17499999999999999912257670728384512 binary64)) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 t z)) (+.f64 c (.f64 x y))) (+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (*.f64 x y))))
(if (<=.f64 (.f64 a b) #s(literal -19500000000000000677089567366247613602598627926278723677414127720086335047009483983569944702664924196955430612978520879124547180078871684614290025587686004489508437624863403492704985313682164523172235592691914957011894451156257849654853346375842577223449189774228600127488 binary64)) (.f64 (.f64 a b) #s(literal -1/4 binary64)) (if (<=.f64 (.f64 a b) #s(literal 17499999999999999912257670728384512 binary64)) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 z t)) (+.f64 (.f64 x y) c)) (+.f64 (.f64 x y) (/.f64 (*.f64 a b) #s(literal -4 binary64)))))
(if (<=.f64 (.f64 a b) #s(literal -8400000000000000176053926516622016667641097915647912672269394194620656843508727201942662666684657704442901998039900094464 binary64)) (+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (.f64 x y)) (if (<=.f64 (.f64 a b) #s(literal -7656353255721115/21267647932558653966460912964485513216 binary64)) (+.f64 (.f64 y x) (.f64 #s(literal 1/16 binary64) (.f64 t z))) (if (<=.f64 (.f64 a b) #s(literal 116000000000000005215941840565436416 binary64)) (+.f64 (.f64 x y) c) (+.f64 (/.f64 (.f64 a b) #s(literal -4 binary64)) (*.f64 x y)))))
(if (<=.f64 (.f64 a b) #s(literal -8400000000000000176053926516622016667641097915647912672269394194620656843508727201942662666684657704442901998039900094464 binary64)) (+.f64 (.f64 x y) (/.f64 (.f64 a b) #s(literal -4 binary64))) (if (<=.f64 (.f64 a b) #s(literal -7656353255721115/21267647932558653966460912964485513216 binary64)) (+.f64 (.f64 x y) (.f64 #s(literal 1/16 binary64) (.f64 z t))) (if (<=.f64 (.f64 a b) #s(literal 116000000000000005215941840565436416 binary64)) (+.f64 (.f64 x y) c) (+.f64 (.f64 x y) (/.f64 (*.f64 a b) #s(literal -4 binary64))))))
(if (<=.f64 (.f64 a b) #s(literal -359999999999999975540032240338354811266890629978034966048213589665576466453593472865258978539134807587311587536433587437110315030598430513825954115207774794211425154231791276592821033035842656616701703795442553938780732425517985387694084943875901761591732058652354877063168 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 a b)) (if (<=.f64 (.f64 a b) #s(literal -7269215601948759/5192296858534827628530496329220096 binary64)) (+.f64 (.f64 y x) (.f64 #s(literal 1/16 binary64) (.f64 t z))) (if (<=.f64 (.f64 a b) #s(literal 1650000000000000112910460231679066483040681197568 binary64)) (+.f64 (.f64 x y) c) (.f64 #s(literal -1/4 binary64) (*.f64 a b)))))
(if (<=.f64 (.f64 a b) #s(literal -359999999999999975540032240338354811266890629978034966048213589665576466453593472865258978539134807587311587536433587437110315030598430513825954115207774794211425154231791276592821033035842656616701703795442553938780732425517985387694084943875901761591732058652354877063168 binary64)) (.f64 (.f64 a b) #s(literal -1/4 binary64)) (if (<=.f64 (.f64 a b) #s(literal -7269215601948759/5192296858534827628530496329220096 binary64)) (+.f64 (.f64 x y) (.f64 #s(literal 1/16 binary64) (.f64 z t))) (if (<=.f64 (.f64 a b) #s(literal 1650000000000000112910460231679066483040681197568 binary64)) (+.f64 (.f64 x y) c) (.f64 (*.f64 a b) #s(literal -1/4 binary64)))))
(if (<=.f64 (.f64 a b) #s(literal -310000000000000006420229808013426397510218503427860498991279389338126471325328714737778702613364748404868225192282889512388108110819106009305325183316280466448108633288981477953843977051886377128785895340888513411201105920 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 a b)) (if (<=.f64 (.f64 a b) #s(literal -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 c (.f64 (.f64 t z) #s(literal -1/16 binary64))) (if (<=.f64 (.f64 a b) #s(literal 1550000000000000027396237512564765051788271288320 binary64)) (+.f64 (.f64 x y) c) (.f64 #s(literal -1/4 binary64) (.f64 a b)))))
(if (<=.f64 (.f64 a b) #s(literal -310000000000000006420229808013426397510218503427860498991279389338126471325328714737778702613364748404868225192282889512388108110819106009305325183316280466448108633288981477953843977051886377128785895340888513411201105920 binary64)) (.f64 (.f64 a b) #s(literal -1/4 binary64)) (if (<=.f64 (.f64 a b) #s(literal -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 c (.f64 (.f64 z t) #s(literal -1/16 binary64))) (if (<=.f64 (.f64 a b) #s(literal 1550000000000000027396237512564765051788271288320 binary64)) (+.f64 (.f64 x y) c) (.f64 (.f64 a b) #s(literal -1/4 binary64)))))
(if (<=.f64 (.f64 a b) #s(literal -43999999999999996721147986723613070588742945955195249265124368280271745416337538123422970732975297119581505158879165340305368972901269531061997292572973023167102899509379686758990065473828827183358138122240 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 a b)) (if (<=.f64 (.f64 a b) #s(literal 1650000000000000112910460231679066483040681197568 binary64)) (+.f64 (.f64 x y) c) (.f64 #s(literal -1/4 binary64) (*.f64 a b))))
(if (<=.f64 (.f64 a b) #s(literal -43999999999999996721147986723613070588742945955195249265124368280271745416337538123422970732975297119581505158879165340305368972901269531061997292572973023167102899509379686758990065473828827183358138122240 binary64)) (.f64 (.f64 a b) #s(literal -1/4 binary64)) (if (<=.f64 (.f64 a b) #s(literal 1650000000000000112910460231679066483040681197568 binary64)) (+.f64 (.f64 x y) c) (.f64 (*.f64 a b) #s(literal -1/4 binary64))))
(if (<=.f64 (.f64 a b) #s(literal -34999999999999998621189345050853221633418716727060817131275108787779450764497506186379636862608379025741573848682262515588513031194104283566446398322327895370312039634773611203358155915484153309269857221393922802971574272 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 a b)) (if (<=.f64 (.f64 a b) #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 t z)) (if (<=.f64 (.f64 a b) #s(literal -5186557740999835/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) c (if (<=.f64 (.f64 a b) #s(literal 5109933491736859/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664 binary64)) (.f64 x y) (if (<=.f64 (.f64 a b) #s(literal 2399999999999999924720786590031413248 binary64)) c (.f64 #s(literal -1/4 binary64) (.f64 a b)))))))
(if (<=.f64 (.f64 a b) #s(literal -34999999999999998621189345050853221633418716727060817131275108787779450764497506186379636862608379025741573848682262515588513031194104283566446398322327895370312039634773611203358155915484153309269857221393922802971574272 binary64)) (.f64 (.f64 a b) #s(literal -1/4 binary64)) (if (<=.f64 (.f64 a b) #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 z t)) (if (<=.f64 (.f64 a b) #s(literal -5186557740999835/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) c (if (<=.f64 (.f64 a b) #s(literal 5109933491736859/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664 binary64)) (.f64 x y) (if (<=.f64 (.f64 a b) #s(literal 2399999999999999924720786590031413248 binary64)) c (.f64 (.f64 a b) #s(literal -1/4 binary64)))))))
(if (<=.f64 (.f64 a b) #s(literal -15000000000000000058411183959361691414222842784406212272293004235005511803409687036178540912775637857262040051173294080 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 a b)) (if (<=.f64 (.f64 a b) #s(literal -3200000000000000294089072260588103618689102710901905031168 binary64)) (.f64 x y) (if (<=.f64 (.f64 a b) #s(literal -2223657568073481/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) c (if (<=.f64 (.f64 a b) #s(literal 7883897387251153/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328 binary64)) (.f64 x y) (if (<=.f64 (.f64 a b) #s(literal 39999999999999998155050632808484569088 binary64)) c (.f64 #s(literal -1/4 binary64) (*.f64 a b)))))))
(if (<=.f64 (.f64 a b) #s(literal -15000000000000000058411183959361691414222842784406212272293004235005511803409687036178540912775637857262040051173294080 binary64)) (.f64 (.f64 a b) #s(literal -1/4 binary64)) (if (<=.f64 (.f64 a b) #s(literal -3200000000000000294089072260588103618689102710901905031168 binary64)) (.f64 x y) (if (<=.f64 (.f64 a b) #s(literal -2223657568073481/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) c (if (<=.f64 (.f64 a b) #s(literal 7883897387251153/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328 binary64)) (.f64 x y) (if (<=.f64 (.f64 a b) #s(literal 39999999999999998155050632808484569088 binary64)) c (.f64 (*.f64 a b) #s(literal -1/4 binary64)))))))
(if (<=.f64 (.f64 x y) #s(literal -6000000000000000000000 binary64)) (.f64 x y) (if (<=.f64 (.f64 x y) #s(literal 14199999999999999345576777860105736406323467944790312898840394544963600426672848896 binary64)) c (.f64 x y)))
c

soundness2.1s (21.7%)

Rules

4252×	`-lowering-.f32`
4252×	`-lowering-.f64`
3592×	`-lowering-.f32`
3592×	`-lowering-.f64`
3370×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	1978
1	447	1907
2	1473	1829
3	4409	1781
0	8632	1781
0	208	3352
1	767	3301
2	2694	3271
3	6100	3265
0	8483	3265
0	17	16
1	33	15
2	90	14
3	241	14
4	583	14
5	1853	14
6	3318	14
7	5940	14
0	8025	14
0	183	2502
1	664	2423
2	2395	2303
3	7552	2303
0	8291	2303

Stop Event

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

Compiler

Compiled 1612 to 996 computations (38.2% saved)

preprocess78.0ms (0.8%)

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 1138 to 390 computations (65.7% saved)

analyze1.0ms (0%)

sample1.6s (16%)

preprocess250.0ms (2.6%)

explain320.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.1%)

localize81.0ms (0.8%)

series20.0ms (0.2%)

rewrite304.0ms (3.1%)

simplify244.0ms (2.5%)

eval76.0ms (0.8%)

prune75.0ms (0.8%)

simplify429.0ms (4.4%)

localize260.0ms (2.7%)

series18.0ms (0.2%)

rewrite219.0ms (2.2%)

simplify311.0ms (3.2%)

eval171.0ms (1.8%)

prune220.0ms (2.3%)

simplify333.0ms (3.4%)

localize155.0ms (1.6%)

series7.0ms (0.1%)

rewrite243.0ms (2.5%)

simplify193.0ms (2%)

eval171.0ms (1.8%)

prune134.0ms (1.4%)

simplify102.0ms (1%)

localize82.0ms (0.8%)

series5.0ms (0%)

rewrite311.0ms (3.2%)

simplify221.0ms (2.3%)

eval79.0ms (0.8%)

prune108.0ms (1.1%)

regimes83.0ms (0.8%)

regimes43.0ms (0.4%)

regimes4.0ms (0%)

regimes39.0ms (0.4%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes15.0ms (0.2%)

regimes22.0ms (0.2%)

regimes2.0ms (0%)

regimes9.0ms (0.1%)

regimes23.0ms (0.2%)

bsearch0.0ms (0%)

bsearch38.0ms (0.4%)

bsearch43.0ms (0.4%)

bsearch70.0ms (0.7%)

bsearch66.0ms (0.7%)

bsearch45.0ms (0.5%)

bsearch35.0ms (0.4%)

bsearch106.0ms (1.1%)

bsearch128.0ms (1.3%)

bsearch38.0ms (0.4%)

simplify41.0ms (0.4%)

soundness2.1s (21.7%)

preprocess78.0ms (0.8%)

end0.0ms (0%)

Profiling