
Time bar (total: 7.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 10 to 7 computations (30% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 414.0ms | 7660× | 0 | valid |
| 84.0ms | 120× | 3 | valid |
| 40.0ms | 216× | 2 | valid |
| 30.0ms | 260× | 1 | valid |
ival-div: 76.0ms (30.1% of total)ival-sub: 63.0ms (24.9% of total)ival-add: 55.0ms (21.8% of total)backward-pass: 46.0ms (18.2% of total)const: 12.0ms (4.7% of total)| 2× | egg-herbie |
| 1382× | fnmadd-define |
| 1274× | fmsub-define |
| 1268× | fnmsub-define |
| 1178× | sum5-define |
| 1078× | fmm-def |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 48 |
| 1 | 51 | 42 |
| 2 | 158 | 42 |
| 3 | 551 | 42 |
| 4 | 1556 | 36 |
| 5 | 3707 | 36 |
| 6 | 4884 | 36 |
| 7 | 4988 | 36 |
| 0 | 6 | 7 |
| 1 | 12 | 7 |
| 2 | 23 | 7 |
| 3 | 46 | 7 |
| 4 | 92 | 7 |
| 5 | 227 | 7 |
| 6 | 654 | 7 |
| 7 | 1200 | 6 |
| 8 | 2087 | 6 |
| 9 | 2656 | 6 |
| 10 | 2806 | 6 |
| 0 | 2806 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(+ x (/ (- x y) 2)) |
| Outputs |
|---|
(+ x (/ (- x y) 2)) |
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
| Inputs |
|---|
(+ x (/ (- x y) 2)) |
(+ (neg x) (/ (- (neg x) y) 2)) |
(+ x (/ (- x (neg y)) 2)) |
(neg (+ (neg x) (/ (- (neg x) y) 2))) |
(neg (+ x (/ (- x (neg y)) 2))) |
(+ y (/ (- y x) 2)) |
| Outputs |
|---|
(+ x (/ (- x y) 2)) |
(fnmsub x -3/2 (* y 1/2)) |
(+ (neg x) (/ (- (neg x) y) 2)) |
(fnmsub x 3/2 (* y 1/2)) |
(+ x (/ (- x (neg y)) 2)) |
(fma (+ x y) 1/2 x) |
(neg (+ (neg x) (/ (- (neg x) y) 2))) |
(fma (+ x y) 1/2 x) |
(neg (+ x (/ (- x (neg y)) 2))) |
(fnmsub x 3/2 (* y 1/2)) |
(+ y (/ (- y x) 2)) |
(fnmsub x 1/2 (* y -3/2)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 x y) #s(literal 2 binary64)) |
| 39.0ms | 470× | 0 | valid |
| 4.0ms | 16× | 2 | valid |
| 3.0ms | 20× | 1 | valid |
| 3.0ms | 6× | 3 | valid |
Compiled 51 to 20 computations (60.8% saved)
ival-div: 4.0ms (29.1% of total)ival-sub: 4.0ms (29.1% of total)ival-add: 3.0ms (21.9% of total)backward-pass: 2.0ms (14.6% of total)const: 1.0ms (7.3% of total)Compiled 9 to 7 computations (22.2% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 3/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 y #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
| 4× | fma-lowering-fma.f32 |
| 4× | fma-define |
| 4× | +-lowering-+.f64 |
| 4× | *-lowering-*.f32 |
| 4× | *-lowering-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 9 | 16 |
| 2 | 11 | 16 |
| 0 | 11 | 16 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (/ y -2) (* x 3/2)) |
(/ y -2) |
y |
-2 |
(* x 3/2) |
x |
3/2 |
| Outputs |
|---|
(+ (/ y -2) (* x 3/2)) |
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
(/ y -2) |
(/.f64 y #s(literal -2 binary64)) |
y |
-2 |
#s(literal -2 binary64) |
(* x 3/2) |
(*.f64 x #s(literal 3/2 binary64)) |
x |
3/2 |
#s(literal 3/2 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 y #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 3/2 binary64)) |
| ✓ | accuracy | 99.9% | (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
| 20.0ms | 235× | 0 | valid |
| 2.0ms | 8× | 2 | valid |
| 2.0ms | 10× | 1 | valid |
| 1.0ms | 3× | 3 | valid |
Compiled 20 to 8 computations (60% saved)
ival-div: 2.0ms (27.5% of total)ival-mult: 2.0ms (27.5% of total)ival-add: 2.0ms (27.5% of total)const: 1.0ms (13.7% of total)backward-pass: 1.0ms (13.7% of total)| Inputs |
|---|
#<alt (+ (/ y -2) (* x 3/2))> |
#<alt (/ y -2)> |
#<alt (* x 3/2)> |
| Outputs |
|---|
#<alt (* 3/2 x)> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (* 3/2 x)> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* 3/2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (/ y -2) |
| 0.0ms | y | @ | inf | (+ (/ y -2) (* x 3/2)) |
| 0.0ms | y | @ | 0 | (+ (/ y -2) (* x 3/2)) |
| 0.0ms | x | @ | -inf | (* x 3/2) |
| 0.0ms | y | @ | -inf | (/ y -2) |
| 1× | batch-egg-rewrite |
| 2380× | *-lowering-*.f32 |
| 2380× | *-lowering-*.f64 |
| 1878× | fma-lowering-fma.f32 |
| 1878× | fma-lowering-fma.f64 |
| 1728× | fmsub-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 32 | 12 |
| 2 | 288 | 12 |
| 3 | 4762 | 12 |
| 0 | 8556 | 12 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (/ y -2) (* x 3/2)) |
(/ y -2) |
(* x 3/2) |
| Outputs |
|---|
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) |
(+.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))) |
(-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) |
(-.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))) |
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))) |
(fma.f64 y (/.f64 (*.f64 #s(literal 1/4 binary64) y) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))) |
(fma.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (/.f64 y #s(literal -2 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))) |
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64))) |
(fma.f64 #s(literal 3/2 binary64) x (/.f64 y #s(literal -2 binary64))) |
(fma.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64))) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64) (*.f64 x #s(literal 3/2 binary64))) |
(fma.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) y (*.f64 x #s(literal 3/2 binary64))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))) |
(fma.f64 (/.f64 y (/.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64))) |
(fma.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))) |
(fma.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 #s(literal -27/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (+.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))) |
(neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))))) |
(neg.f64 (/.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) |
(/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y))))) |
(/.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) |
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (*.f64 #s(literal 729/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64))))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (*.f64 #s(literal 729/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 #s(literal -27/8 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (*.f64 #s(literal 729/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 16 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64)))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 16 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81/16 binary64))) (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (*.f64 x (*.f64 x #s(literal 9/4 binary64))))) (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (*.f64 #s(literal 729/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64))))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (*.f64 #s(literal 729/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 #s(literal -27/8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (*.f64 #s(literal 729/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 16 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64)))))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 16 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81/16 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y)))) (neg.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) (*.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))) (+.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))) |
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))) |
(/.f64 (*.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (*.f64 #s(literal 729/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (*.f64 #s(literal 729/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 #s(literal -27/8 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (*.f64 #s(literal 729/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 16 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64))))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 16 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81/16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))) |
(*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (/.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) |
(*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))) |
(*.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))) (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))))) |
(*.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))) (/.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))) |
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64)))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (/.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))))) (+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 16 binary64)) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))) (-.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))) (/.f64 y (/.f64 #s(literal 4 binary64) y)))))) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 16 binary64)) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))) (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))) |
(*.f64 (/.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 #s(literal -27/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (+.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal 2 binary64))) |
(neg.f64 (/.f64 y #s(literal 2 binary64))) |
(neg.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 y #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y)) |
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y)) |
(pow.f64 (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64))) |
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) y) #s(literal -1/2 binary64))) |
(*.f64 x #s(literal 3/2 binary64)) |
(*.f64 #s(literal 3/2 binary64) x) |
(*.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) |
| 1× | egg-herbie |
| 1944× | *-lowering-*.f32 |
| 1944× | *-lowering-*.f64 |
| 1924× | fnmadd-define |
| 1686× | fma-define |
| 1644× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 198 |
| 1 | 72 | 198 |
| 2 | 196 | 198 |
| 3 | 440 | 198 |
| 4 | 890 | 198 |
| 5 | 2174 | 198 |
| 6 | 5703 | 198 |
| 0 | 8193 | 198 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3/2 x) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* -1/2 y) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1/2 y) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* 3/2 x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* 3/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
| Outputs |
|---|
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
Compiled 2970 to 283 computations (90.5% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 135 | 10 | 145 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 135 | 11 | 146 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64))) |
| ▶ | 56.2% | (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) |
| 36.2% | (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))) | |
| 56.2% | (/.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) | |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))))) |
| 56.2% | (-.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) | |
| ✓ | 99.9% | (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
| 56.2% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64)))) | |
| ▶ | 99.6% | (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))) |
| 47.5% | (*.f64 #s(literal 3/2 binary64) x) | |
| ▶ | 54.2% | (*.f64 #s(literal -1/2 binary64) y) |
Compiled 379 to 253 computations (33.2% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 y #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
| ✓ | cost-diff | 1024 | (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) |
| ✓ | cost-diff | 1152 | (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 9/4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 9/4 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 y #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 y #s(literal -2 binary64)) |
| ✓ | cost-diff | 6272 | (fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64))) |
| 2770× | *-lowering-*.f32 |
| 2770× | *-lowering-*.f64 |
| 2020× | +-lowering-+.f64 |
| 2020× | +-lowering-+.f32 |
| 1760× | sum4-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 152 |
| 1 | 63 | 147 |
| 2 | 134 | 144 |
| 3 | 389 | 144 |
| 4 | 1740 | 144 |
| 5 | 4916 | 144 |
| 6 | 7518 | 144 |
| 0 | 8205 | 144 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x 3/2) (/ y -2)) |
x |
3/2 |
(/ y -2) |
y |
-2 |
(* -1/2 y) |
-1/2 |
y |
(/ 1 (/ 1 (+ (/ y -2) (* x 3/2)))) |
1 |
(/ 1 (+ (/ y -2) (* x 3/2))) |
(+ (/ y -2) (* x 3/2)) |
(/ y -2) |
y |
-2 |
(* x 3/2) |
x |
3/2 |
(/ (- (* x (* x 9/4)) (/ y (/ 4 y))) (+ (* x 3/2) (/ y 2))) |
(- (* x (* x 9/4)) (/ y (/ 4 y))) |
(* x (* x 9/4)) |
x |
(* x 9/4) |
9/4 |
(/ y (/ 4 y)) |
y |
(/ 4 y) |
4 |
(+ (* x 3/2) (/ y 2)) |
(* x 3/2) |
3/2 |
(/ y 2) |
2 |
(* (+ (/ y -2) (* x 3/2)) (* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2))))) |
(+ (/ y -2) (* x 3/2)) |
(/ y -2) |
y |
-2 |
(* x 3/2) |
x |
3/2 |
(* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2)))) |
(+ (/ y -2) (* x -3/2)) |
(* x -3/2) |
-3/2 |
(/ 1 (+ (/ y -2) (* x -3/2))) |
1 |
| Outputs |
|---|
(+ (* x 3/2) (/ y -2)) |
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) |
x |
3/2 |
#s(literal 3/2 binary64) |
(/ y -2) |
(/.f64 y #s(literal -2 binary64)) |
y |
-2 |
#s(literal -2 binary64) |
(* -1/2 y) |
(/.f64 y #s(literal -2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
y |
(/ 1 (/ 1 (+ (/ y -2) (* x 3/2)))) |
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) |
1 |
#s(literal 1 binary64) |
(/ 1 (+ (/ y -2) (* x 3/2))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))) |
(+ (/ y -2) (* x 3/2)) |
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) |
(/ y -2) |
(/.f64 y #s(literal -2 binary64)) |
y |
-2 |
#s(literal -2 binary64) |
(* x 3/2) |
(*.f64 x #s(literal 3/2 binary64)) |
x |
3/2 |
#s(literal 3/2 binary64) |
(/ (- (* x (* x 9/4)) (/ y (/ 4 y))) (+ (* x 3/2) (/ y 2))) |
(/.f64 (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 x (*.f64 x #s(literal -9/4 binary64)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) |
(- (* x (* x 9/4)) (/ y (/ 4 y))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal -4 binary64) y))) |
(* x (* x 9/4)) |
(*.f64 x (*.f64 x #s(literal 9/4 binary64))) |
x |
(* x 9/4) |
(*.f64 x #s(literal 9/4 binary64)) |
9/4 |
#s(literal 9/4 binary64) |
(/ y (/ 4 y)) |
(/.f64 (*.f64 y y) #s(literal 4 binary64)) |
y |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
4 |
#s(literal 4 binary64) |
(+ (* x 3/2) (/ y 2)) |
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) |
(* x 3/2) |
(*.f64 x #s(literal 3/2 binary64)) |
3/2 |
#s(literal 3/2 binary64) |
(/ y 2) |
(/.f64 y #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(* (+ (/ y -2) (* x 3/2)) (* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2))))) |
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) |
(+ (/ y -2) (* x 3/2)) |
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) |
(/ y -2) |
(/.f64 y #s(literal -2 binary64)) |
y |
-2 |
#s(literal -2 binary64) |
(* x 3/2) |
(*.f64 x #s(literal 3/2 binary64)) |
x |
3/2 |
#s(literal 3/2 binary64) |
(* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2)))) |
#s(literal 1 binary64) |
(+ (/ y -2) (* x -3/2)) |
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) |
(* x -3/2) |
(*.f64 x #s(literal -3/2 binary64)) |
-3/2 |
#s(literal -3/2 binary64) |
(/ 1 (+ (/ y -2) (* x -3/2))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) |
1 |
#s(literal 1 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) |
| ✓ | accuracy | 99.9% | (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) |
| ✓ | accuracy | 99.8% | (/.f64 y (/.f64 #s(literal 4 binary64) y)) |
| ✓ | accuracy | 99.7% | (*.f64 x (*.f64 x #s(literal 9/4 binary64))) |
| ✓ | accuracy | 96.2% | (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y))) |
| ✓ | accuracy | 57.5% | (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 3/2 binary64)) |
| ✓ | accuracy | 99.9% | (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/2 binary64) y) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 y #s(literal -2 binary64)) |
| 103.0ms | 211× | 0 | valid |
| 21.0ms | 23× | 1 | valid |
| 16.0ms | 11× | 2 | valid |
| 14.0ms | 5× | 5 | exit |
| 12.0ms | 6× | 3 | valid |
Compiled 204 to 31 computations (84.8% saved)
ival-mult: 21.0ms (32.9% of total)ival-div: 19.0ms (29.8% of total)backward-pass: 8.0ms (12.5% of total)ival-add: 7.0ms (11% of total)compiled-spec: 6.0ms (9.4% of total)const: 2.0ms (3.1% of total)ival-sub: 2.0ms (3.1% of total)| Inputs |
|---|
#<alt (+ (* x 3/2) (/ y -2))> |
#<alt (/ y -2)> |
#<alt (* -1/2 y)> |
#<alt (/ 1 (/ 1 (+ (/ y -2) (* x 3/2))))> |
#<alt (/ 1 (+ (/ y -2) (* x 3/2)))> |
#<alt (+ (/ y -2) (* x 3/2))> |
#<alt (/ (- (* x (* x 9/4)) (/ y (/ 4 y))) (+ (* x 3/2) (/ y 2)))> |
#<alt (- (* x (* x 9/4)) (/ y (/ 4 y)))> |
#<alt (* x (* x 9/4))> |
#<alt (* x 9/4)> |
#<alt (* (+ (/ y -2) (* x 3/2)) (* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2)))))> |
#<alt (* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2))))> |
#<alt (* x 3/2)> |
#<alt (/ y (/ 4 y))> |
#<alt (/ 1 (+ (/ y -2) (* x -3/2)))> |
#<alt (+ (/ y -2) (* x -3/2))> |
| Outputs |
|---|
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (* 3/2 x)> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* 3/2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* 3/2 x)> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* 3/2 x)> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (* 3/2 x)> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* 3/2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (/ 2/3 x)> |
#<alt (+ (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))> |
#<alt (+ (* y (+ (* 2/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))> |
#<alt (+ (* y (+ (* y (+ (* 2/81 (/ y (pow x 4))) (* 2/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))> |
#<alt (/ -2 y)> |
#<alt (/ (- (* -6 (/ x y)) 2) y)> |
#<alt (/ (- (* -18 (/ (pow x 2) (pow y 2))) (+ 2 (* 6 (/ x y)))) y)> |
#<alt (/ (- (* -54 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 6 (/ x y)) (* 18 (/ (pow x 2) (pow y 2)))))) y)> |
#<alt (/ -2 y)> |
#<alt (* -1 (/ (+ 2 (* 6 (/ x y))) y))> |
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -18 (/ (pow x 2) y)) (* 6 x)) y))) y))> |
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 54 (/ (pow x 3) y)) (* -18 (pow x 2))) y)) (* 6 x)) y))) y))> |
#<alt (/ -2 y)> |
#<alt (- (* -6 (/ x (pow y 2))) (* 2 (/ 1 y)))> |
#<alt (- (* x (- (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))> |
#<alt (- (* x (- (* x (- (* -54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))> |
#<alt (/ 2/3 x)> |
#<alt (/ (+ 2/3 (* 2/9 (/ y x))) x)> |
#<alt (/ (- (+ 2/3 (* 2/27 (/ (pow y 2) (pow x 2)))) (* -2/9 (/ y x))) x)> |
#<alt (/ (- (+ 2/3 (* 2/81 (/ (pow y 3) (pow x 3)))) (+ (* -2/9 (/ y x)) (* -2/27 (/ (pow y 2) (pow x 2))))) x)> |
#<alt (/ 2/3 x)> |
#<alt (* -1 (/ (- (* -2/9 (/ y x)) 2/3) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 2/27 (/ (pow y 2) x)) (* -2/9 y)) x)) 2/3) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* 2/27 (pow y 2))) x)) (* -2/9 y)) x)) 2/3) x))> |
#<alt (* 3/2 x)> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (* 3/2 x)> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* 3/2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (* 3/2 x)> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* 3/2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* 3/2 x)> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1/4 (pow y 2))> |
#<alt (- (* 9/4 (pow x 2)) (* 1/4 (pow y 2)))> |
#<alt (- (* 9/4 (pow x 2)) (* 1/4 (pow y 2)))> |
#<alt (- (* 9/4 (pow x 2)) (* 1/4 (pow y 2)))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (+ (* -1/4 (pow y 2)) (* 9/4 (pow x 2)))> |
#<alt (+ (* -1/4 (pow y 2)) (* 9/4 (pow x 2)))> |
#<alt (+ (* -1/4 (pow y 2)) (* 9/4 (pow x 2)))> |
#<alt (* -1/4 (pow y 2))> |
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))> |
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))> |
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))> |
#<alt (* -1/4 (pow y 2))> |
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))> |
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))> |
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 x)> |
#<alt (* 9/4 x)> |
#<alt (* 9/4 x)> |
#<alt (* 9/4 x)> |
#<alt (* 9/4 x)> |
#<alt (* 9/4 x)> |
#<alt (* 9/4 x)> |
#<alt (* 9/4 x)> |
#<alt (* 9/4 x)> |
#<alt (* 9/4 x)> |
#<alt (* 9/4 x)> |
#<alt (* 9/4 x)> |
#<alt (* 3/2 x)> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (* 3/2 x)> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* 3/2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (/ -2/3 x)> |
#<alt (- (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))> |
#<alt (- (* y (+ (* -2/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))> |
#<alt (- (* y (+ (* y (- (* 2/81 (/ y (pow x 4))) (* 2/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))> |
#<alt (/ -2 y)> |
#<alt (/ (- (* 6 (/ x y)) 2) y)> |
#<alt (/ (- (* -18 (/ (pow x 2) (pow y 2))) (+ 2 (* -6 (/ x y)))) y)> |
#<alt (/ (- (* 54 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* -6 (/ x y)) (* 18 (/ (pow x 2) (pow y 2)))))) y)> |
#<alt (/ -2 y)> |
#<alt (* -1 (/ (+ 2 (* -6 (/ x y))) y))> |
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -18 (/ (pow x 2) y)) (* -6 x)) y))) y))> |
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* -54 (/ (pow x 3) y)) (* -18 (pow x 2))) y)) (* -6 x)) y))) y))> |
#<alt (/ -2 y)> |
#<alt (- (* 6 (/ x (pow y 2))) (* 2 (/ 1 y)))> |
#<alt (- (* x (+ (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))> |
#<alt (- (* x (+ (* x (- (* 54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))> |
#<alt (/ -2/3 x)> |
#<alt (/ (- (* 2/9 (/ y x)) 2/3) x)> |
#<alt (/ (- (* -2/27 (/ (pow y 2) (pow x 2))) (+ 2/3 (* -2/9 (/ y x)))) x)> |
#<alt (/ (- (* 2/81 (/ (pow y 3) (pow x 3))) (+ 2/3 (+ (* -2/9 (/ y x)) (* 2/27 (/ (pow y 2) (pow x 2)))))) x)> |
#<alt (/ -2/3 x)> |
#<alt (* -1 (/ (+ 2/3 (* -2/9 (/ y x))) x))> |
#<alt (* -1 (/ (+ 2/3 (* -1 (/ (- (* -2/27 (/ (pow y 2) x)) (* -2/9 y)) x))) x))> |
#<alt (* -1 (/ (+ 2/3 (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* -2/27 (pow y 2))) x)) (* -2/9 y)) x))) x))> |
#<alt (* -3/2 x)> |
#<alt (+ (* -3/2 x) (* -1/2 y))> |
#<alt (+ (* -3/2 x) (* -1/2 y))> |
#<alt (+ (* -3/2 x) (* -1/2 y))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* -3/2 (/ x y)) 1/2))> |
#<alt (* y (- (* -3/2 (/ x y)) 1/2))> |
#<alt (* y (- (* -3/2 (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* 3/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* 3/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* 3/2 (/ x y)))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -3/2 x) (* -1/2 y))> |
#<alt (+ (* -3/2 x) (* -1/2 y))> |
#<alt (+ (* -3/2 x) (* -1/2 y))> |
#<alt (* -3/2 x)> |
#<alt (* x (- (* -1/2 (/ y x)) 3/2))> |
#<alt (* x (- (* -1/2 (/ y x)) 3/2))> |
#<alt (* x (- (* -1/2 (/ y x)) 3/2))> |
#<alt (* -3/2 x)> |
#<alt (* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))> |
#<alt (* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))> |
#<alt (* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | -inf | (/ 1 (+ (/ y -2) (* x 3/2))) |
| 1.0ms | y | @ | inf | (/ (- (* x (* x 9/4)) (/ y (/ 4 y))) (+ (* x 3/2) (/ y 2))) |
| 1.0ms | x | @ | 0 | (/ (- (* x (* x 9/4)) (/ y (/ 4 y))) (+ (* x 3/2) (/ y 2))) |
| 1.0ms | y | @ | 0 | (/ (- (* x (* x 9/4)) (/ y (/ 4 y))) (+ (* x 3/2) (/ y 2))) |
| 1.0ms | y | @ | -inf | (/ 1 (+ (/ y -2) (* x 3/2))) |
| 1× | batch-egg-rewrite |
| 3696× | *-lowering-*.f32 |
| 3696× | *-lowering-*.f64 |
| 2520× | /-lowering-/.f32 |
| 2520× | /-lowering-/.f64 |
| 2078× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 85 |
| 1 | 169 | 79 |
| 2 | 1794 | 79 |
| 0 | 8332 | 79 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x 3/2) (/ y -2)) |
(/ y -2) |
(* -1/2 y) |
(/ 1 (/ 1 (+ (/ y -2) (* x 3/2)))) |
(/ 1 (+ (/ y -2) (* x 3/2))) |
(+ (/ y -2) (* x 3/2)) |
(/ (- (* x (* x 9/4)) (/ y (/ 4 y))) (+ (* x 3/2) (/ y 2))) |
(- (* x (* x 9/4)) (/ y (/ 4 y))) |
(* x (* x 9/4)) |
(* x 9/4) |
(* (+ (/ y -2) (* x 3/2)) (* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2))))) |
(* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2)))) |
(* x 3/2) |
(/ y (/ 4 y)) |
(/ 1 (+ (/ y -2) (* x -3/2))) |
(+ (/ y -2) (* x -3/2)) |
| Outputs |
|---|
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) |
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
(+.f64 (/.f64 y #s(literal -2 binary64)) (neg.f64 (*.f64 x #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) #s(literal -3/2 binary64))) |
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))) |
(+.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal 2 binary64)))) |
(+.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) |
(+.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) (+.f64 (*.f64 (neg.f64 x) #s(literal -3/2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal -4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))) (/.f64 y #s(literal -2 binary64))) |
(+.f64 (*.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64))) |
(-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) |
(-.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal -4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) |
(-.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) |
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64))) |
(fma.f64 x (/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal -4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))) |
(fma.f64 #s(literal 3/2 binary64) x (/.f64 y #s(literal -2 binary64))) |
(fma.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))) |
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))) |
(fma.f64 y #s(literal -1/2 binary64) (neg.f64 (*.f64 x #s(literal -3/2 binary64)))) |
(fma.f64 y #s(literal -1/2 binary64) (*.f64 (neg.f64 x) #s(literal -3/2 binary64))) |
(fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))) |
(fma.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) y (*.f64 x #s(literal 3/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 (*.f64 x #s(literal -3/2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) y (*.f64 (neg.f64 x) #s(literal -3/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)) (neg.f64 (*.f64 x #s(literal -3/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) #s(literal -3/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) |
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(pow.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x #s(literal -3/2 binary64)) (-.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal -2 binary64))))) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/8 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) |
(*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x #s(literal -3/2 binary64)) (-.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal -2 binary64))))))) |
(*.f64 (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/8 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x #s(literal -3/2 binary64)) (-.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal -2 binary64))))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 3976× | *-lowering-*.f32 |
| 3976× | *-lowering-*.f64 |
| 1820× | fma-lowering-fma.f32 |
| 1820× | fma-lowering-fma.f64 |
| 1582× | fma-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 280 | 2153 |
| 1 | 934 | 1977 |
| 2 | 2605 | 1926 |
| 3 | 7536 | 1926 |
| 0 | 8292 | 1926 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 y) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* 3/2 x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* 3/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* 3/2 x) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* -1/2 y) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* 3/2 x) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* -1/2 y) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1/2 y) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* 3/2 x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* 3/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(/ 2/3 x) |
(+ (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x))) |
(+ (* y (+ (* 2/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x))) |
(+ (* y (+ (* y (+ (* 2/81 (/ y (pow x 4))) (* 2/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x))) |
(/ -2 y) |
(/ (- (* -6 (/ x y)) 2) y) |
(/ (- (* -18 (/ (pow x 2) (pow y 2))) (+ 2 (* 6 (/ x y)))) y) |
(/ (- (* -54 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 6 (/ x y)) (* 18 (/ (pow x 2) (pow y 2)))))) y) |
(/ -2 y) |
(* -1 (/ (+ 2 (* 6 (/ x y))) y)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -18 (/ (pow x 2) y)) (* 6 x)) y))) y)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 54 (/ (pow x 3) y)) (* -18 (pow x 2))) y)) (* 6 x)) y))) y)) |
(/ -2 y) |
(- (* -6 (/ x (pow y 2))) (* 2 (/ 1 y))) |
(- (* x (- (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(- (* x (- (* x (- (* -54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(/ 2/3 x) |
(/ (+ 2/3 (* 2/9 (/ y x))) x) |
(/ (- (+ 2/3 (* 2/27 (/ (pow y 2) (pow x 2)))) (* -2/9 (/ y x))) x) |
(/ (- (+ 2/3 (* 2/81 (/ (pow y 3) (pow x 3)))) (+ (* -2/9 (/ y x)) (* -2/27 (/ (pow y 2) (pow x 2))))) x) |
(/ 2/3 x) |
(* -1 (/ (- (* -2/9 (/ y x)) 2/3) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2/27 (/ (pow y 2) x)) (* -2/9 y)) x)) 2/3) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* 2/27 (pow y 2))) x)) (* -2/9 y)) x)) 2/3) x)) |
(* 3/2 x) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* -1/2 y) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1/2 y) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* 3/2 x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* 3/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1/2 y) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* 3/2 x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* 3/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* 3/2 x) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* -1/2 y) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1/4 (pow y 2)) |
(- (* 9/4 (pow x 2)) (* 1/4 (pow y 2))) |
(- (* 9/4 (pow x 2)) (* 1/4 (pow y 2))) |
(- (* 9/4 (pow x 2)) (* 1/4 (pow y 2))) |
(* 9/4 (pow x 2)) |
(* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2))))) |
(* 9/4 (pow x 2)) |
(* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2))))) |
(* 9/4 (pow x 2)) |
(+ (* -1/4 (pow y 2)) (* 9/4 (pow x 2))) |
(+ (* -1/4 (pow y 2)) (* 9/4 (pow x 2))) |
(+ (* -1/4 (pow y 2)) (* 9/4 (pow x 2))) |
(* -1/4 (pow y 2)) |
(* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4)) |
(* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4)) |
(* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4)) |
(* -1/4 (pow y 2)) |
(* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4)) |
(* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4)) |
(* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 x) |
(* 9/4 x) |
(* 9/4 x) |
(* 9/4 x) |
(* 9/4 x) |
(* 9/4 x) |
(* 9/4 x) |
(* 9/4 x) |
(* 9/4 x) |
(* 9/4 x) |
(* 9/4 x) |
(* 9/4 x) |
(* 3/2 x) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* -1/2 y) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1/2 y) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* 3/2 x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* 3/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 1/4 (pow y 2)) |
(* 1/4 (pow y 2)) |
(* 1/4 (pow y 2)) |
(* 1/4 (pow y 2)) |
(* 1/4 (pow y 2)) |
(* 1/4 (pow y 2)) |
(* 1/4 (pow y 2)) |
(* 1/4 (pow y 2)) |
(* 1/4 (pow y 2)) |
(* 1/4 (pow y 2)) |
(* 1/4 (pow y 2)) |
(* 1/4 (pow y 2)) |
(/ -2/3 x) |
(- (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x))) |
(- (* y (+ (* -2/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x))) |
(- (* y (+ (* y (- (* 2/81 (/ y (pow x 4))) (* 2/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x))) |
(/ -2 y) |
(/ (- (* 6 (/ x y)) 2) y) |
(/ (- (* -18 (/ (pow x 2) (pow y 2))) (+ 2 (* -6 (/ x y)))) y) |
(/ (- (* 54 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* -6 (/ x y)) (* 18 (/ (pow x 2) (pow y 2)))))) y) |
(/ -2 y) |
(* -1 (/ (+ 2 (* -6 (/ x y))) y)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -18 (/ (pow x 2) y)) (* -6 x)) y))) y)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* -54 (/ (pow x 3) y)) (* -18 (pow x 2))) y)) (* -6 x)) y))) y)) |
(/ -2 y) |
(- (* 6 (/ x (pow y 2))) (* 2 (/ 1 y))) |
(- (* x (+ (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(- (* x (+ (* x (- (* 54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(/ -2/3 x) |
(/ (- (* 2/9 (/ y x)) 2/3) x) |
(/ (- (* -2/27 (/ (pow y 2) (pow x 2))) (+ 2/3 (* -2/9 (/ y x)))) x) |
(/ (- (* 2/81 (/ (pow y 3) (pow x 3))) (+ 2/3 (+ (* -2/9 (/ y x)) (* 2/27 (/ (pow y 2) (pow x 2)))))) x) |
(/ -2/3 x) |
(* -1 (/ (+ 2/3 (* -2/9 (/ y x))) x)) |
(* -1 (/ (+ 2/3 (* -1 (/ (- (* -2/27 (/ (pow y 2) x)) (* -2/9 y)) x))) x)) |
(* -1 (/ (+ 2/3 (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* -2/27 (pow y 2))) x)) (* -2/9 y)) x))) x)) |
(* -3/2 x) |
(+ (* -3/2 x) (* -1/2 y)) |
(+ (* -3/2 x) (* -1/2 y)) |
(+ (* -3/2 x) (* -1/2 y)) |
(* -1/2 y) |
(* y (- (* -3/2 (/ x y)) 1/2)) |
(* y (- (* -3/2 (/ x y)) 1/2)) |
(* y (- (* -3/2 (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* 3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* 3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* 3/2 (/ x y))))) |
(* -1/2 y) |
(+ (* -3/2 x) (* -1/2 y)) |
(+ (* -3/2 x) (* -1/2 y)) |
(+ (* -3/2 x) (* -1/2 y)) |
(* -3/2 x) |
(* x (- (* -1/2 (/ y x)) 3/2)) |
(* x (- (* -1/2 (/ y x)) 3/2)) |
(* x (- (* -1/2 (/ y x)) 3/2)) |
(* -3/2 x) |
(* -1 (* x (+ 3/2 (* 1/2 (/ y x))))) |
(* -1 (* x (+ 3/2 (* 1/2 (/ y x))))) |
(* -1 (* x (+ 3/2 (* 1/2 (/ y x))))) |
| Outputs |
|---|
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
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(* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4)) |
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (*.f64 y y)))) |
(* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4)) |
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (*.f64 y y)))) |
(* 9/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9/4 binary64)) |
(* 9/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9/4 binary64)) |
(* 9/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9/4 binary64)) |
(* 9/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9/4 binary64)) |
(* 9/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9/4 binary64)) |
(* 9/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9/4 binary64)) |
(* 9/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9/4 binary64)) |
(* 9/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9/4 binary64)) |
(* 9/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9/4 binary64)) |
(* 9/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9/4 binary64)) |
(* 9/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9/4 binary64)) |
(* 9/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9/4 binary64)) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 1/4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/4 binary64)) |
(* 1/4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/4 binary64)) |
(* 1/4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/4 binary64)) |
(* 1/4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/4 binary64)) |
(* 1/4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/4 binary64)) |
(* 1/4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/4 binary64)) |
(* 1/4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/4 binary64)) |
(* 1/4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/4 binary64)) |
(* 1/4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/4 binary64)) |
(* 1/4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/4 binary64)) |
(* 1/4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/4 binary64)) |
(* 1/4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/4 binary64)) |
(/ -2/3 x) |
(/.f64 #s(literal -2/3 binary64) x) |
(- (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x))) |
(/.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 y x) #s(literal 2/9 binary64))) x) |
(- (* y (+ (* -2/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x))) |
(/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2/27 binary64) (/.f64 (*.f64 y y) x)) (*.f64 y #s(literal 2/9 binary64))) x)) x) |
(- (* y (+ (* y (- (* 2/81 (/ y (pow x 4))) (* 2/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x))) |
(+.f64 (*.f64 (*.f64 y y) (+.f64 (/.f64 (*.f64 y #s(literal 2/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -2/27 binary64) (*.f64 x x)) x))) (/.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 y x) #s(literal 2/9 binary64))) x)) |
(/ -2 y) |
(/.f64 #s(literal -2 binary64) y) |
(/ (- (* 6 (/ x y)) 2) y) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal 6 binary64)) y)) y) |
(/ (- (* -18 (/ (pow x 2) (pow y 2))) (+ 2 (* -6 (/ x y)))) y) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -18 binary64))) y) (*.f64 x #s(literal 6 binary64))) y)) y) |
(/ (- (* 54 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* -6 (/ x y)) (* 18 (/ (pow x 2) (pow y 2)))))) y) |
(/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 54 binary64))) y) y) y)) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -18 binary64))) y) (*.f64 x #s(literal 6 binary64))) y)) y) |
(/ -2 y) |
(/.f64 #s(literal -2 binary64) y) |
(* -1 (/ (+ 2 (* -6 (/ x y))) y)) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal 6 binary64)) y)) y) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -18 (/ (pow x 2) y)) (* -6 x)) y))) y)) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -18 binary64))) y) (*.f64 x #s(literal 6 binary64))) y)) y) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* -54 (/ (pow x 3) y)) (* -18 (pow x 2))) y)) (* -6 x)) y))) y)) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -54 binary64))) y) (*.f64 x (*.f64 x #s(literal 18 binary64)))) y)) y)) y) |
(/ -2 y) |
(/.f64 #s(literal -2 binary64) y) |
(- (* 6 (/ x (pow y 2))) (* 2 (/ 1 y))) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal 6 binary64)) y)) y) |
(- (* x (+ (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -18 binary64))) y) (*.f64 x #s(literal 6 binary64))) y)) y) |
(- (* x (+ (* x (- (* 54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 x #s(literal 54 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -18 binary64) (*.f64 y (*.f64 y y))))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal 6 binary64)) y)) y)) |
(/ -2/3 x) |
(/.f64 #s(literal -2/3 binary64) x) |
(/ (- (* 2/9 (/ y x)) 2/3) x) |
(/.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 y x) #s(literal 2/9 binary64))) x) |
(/ (- (* -2/27 (/ (pow y 2) (pow x 2))) (+ 2/3 (* -2/9 (/ y x)))) x) |
(/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2/27 binary64) (/.f64 (*.f64 y y) x)) (*.f64 y #s(literal 2/9 binary64))) x)) x) |
(/ (- (* 2/81 (/ (pow y 3) (pow x 3))) (+ 2/3 (+ (* -2/9 (/ y x)) (* 2/27 (/ (pow y 2) (pow x 2)))))) x) |
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal 2/81 binary64) (/.f64 (*.f64 y (*.f64 y (/.f64 (/.f64 y x) x))) x)) #s(literal -2/3 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 2/27 binary64) (/.f64 (*.f64 y y) x)) (*.f64 y #s(literal -2/9 binary64))) x)) x) |
(/ -2/3 x) |
(/.f64 #s(literal -2/3 binary64) x) |
(* -1 (/ (+ 2/3 (* -2/9 (/ y x))) x)) |
(/.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 y x) #s(literal 2/9 binary64))) x) |
(* -1 (/ (+ 2/3 (* -1 (/ (- (* -2/27 (/ (pow y 2) x)) (* -2/9 y)) x))) x)) |
(/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2/27 binary64) (/.f64 (*.f64 y y) x)) (*.f64 y #s(literal 2/9 binary64))) x)) x) |
(* -1 (/ (+ 2/3 (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* -2/27 (pow y 2))) x)) (* -2/9 y)) x))) x)) |
(/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 y (*.f64 y #s(literal -2/27 binary64))) (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 2/81 binary64)))) x)) x) (*.f64 y #s(literal 2/9 binary64))) x)) x) |
(* -3/2 x) |
(*.f64 x #s(literal -3/2 binary64)) |
(+ (* -3/2 x) (* -1/2 y)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -3/2 binary64))) |
(+ (* -3/2 x) (* -1/2 y)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -3/2 binary64))) |
(+ (* -3/2 x) (* -1/2 y)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -3/2 binary64))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (* -3/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) #s(literal -3/2 binary64)))) |
(* y (- (* -3/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) #s(literal -3/2 binary64)))) |
(* y (- (* -3/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) #s(literal -3/2 binary64)))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1 (* y (+ 1/2 (* 3/2 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) #s(literal -3/2 binary64)))) |
(* -1 (* y (+ 1/2 (* 3/2 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) #s(literal -3/2 binary64)))) |
(* -1 (* y (+ 1/2 (* 3/2 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) #s(literal -3/2 binary64)))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -3/2 x) (* -1/2 y)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -3/2 binary64))) |
(+ (* -3/2 x) (* -1/2 y)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -3/2 binary64))) |
(+ (* -3/2 x) (* -1/2 y)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -3/2 binary64))) |
(* -3/2 x) |
(*.f64 x #s(literal -3/2 binary64)) |
(* x (- (* -1/2 (/ y x)) 3/2)) |
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal -3/2 binary64))) |
(* x (- (* -1/2 (/ y x)) 3/2)) |
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal -3/2 binary64))) |
(* x (- (* -1/2 (/ y x)) 3/2)) |
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal -3/2 binary64))) |
(* -3/2 x) |
(*.f64 x #s(literal -3/2 binary64)) |
(* -1 (* x (+ 3/2 (* 1/2 (/ y x))))) |
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal -3/2 binary64))) |
(* -1 (* x (+ 3/2 (* 1/2 (/ y x))))) |
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal -3/2 binary64))) |
(* -1 (* x (+ 3/2 (* 1/2 (/ y x))))) |
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal -3/2 binary64))) |
Compiled 46237 to 2279 computations (95.1% saved)
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1812 | 4 | 1816 |
| Fresh | 2 | 3 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1816 | 11 | 1827 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64))) |
| ✓ | 56.2% | (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) |
| 36.2% | (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))) | |
| 35.7% | (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal -1/4 binary64)))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) | |
| ▶ | 24.7% | (/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) |
| ▶ | 47.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x)) |
| ✓ | 99.9% | (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
| ▶ | 56.2% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64)))) |
| ▶ | 90.0% | (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
| ▶ | 47.5% | (*.f64 #s(literal 3/2 binary64) x) |
| ✓ | 54.2% | (*.f64 #s(literal -1/2 binary64) y) |
Compiled 281 to 202 computations (28.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 y #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2/3 binary64) x) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3/2 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) |
| ✓ | cost-diff | 128 | (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
| 4726× | *-lowering-*.f32 |
| 4726× | *-lowering-*.f64 |
| 2714× | associate-/r/ |
| 2406× | fma-define |
| 1984× | /-lowering-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 147 |
| 1 | 75 | 139 |
| 2 | 161 | 136 |
| 3 | 316 | 134 |
| 4 | 457 | 134 |
| 5 | 1002 | 134 |
| 6 | 2987 | 134 |
| 7 | 3787 | 134 |
| 8 | 4061 | 134 |
| 9 | 4256 | 134 |
| 10 | 4363 | 134 |
| 11 | 4455 | 134 |
| 12 | 5178 | 134 |
| 13 | 6624 | 134 |
| 0 | 8187 | 134 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (+ -1/2 (* 3/2 (/ x y)))) |
y |
(+ -1/2 (* 3/2 (/ x y))) |
-1/2 |
(* 3/2 (/ x y)) |
3/2 |
(/ x y) |
x |
(* 3/2 x) |
3/2 |
x |
(/ 1 (/ 2/3 x)) |
1 |
(/ 2/3 x) |
2/3 |
x |
(/ (* (* x x) 9/4) (+ (* x 3/2) (/ y 2))) |
(* (* x x) 9/4) |
(* x x) |
x |
9/4 |
(+ (* x 3/2) (/ y 2)) |
(* x 3/2) |
3/2 |
(/ y 2) |
y |
2 |
(* (/ 1 (+ (/ y -2) (* x -3/2))) (+ (/ y (/ 4 y)) (* (* x x) -9/4))) |
(/ 1 (+ (/ y -2) (* x -3/2))) |
1 |
(+ (/ y -2) (* x -3/2)) |
(/ y -2) |
y |
-2 |
(* x -3/2) |
x |
-3/2 |
(+ (/ y (/ 4 y)) (* (* x x) -9/4)) |
(/ y (/ 4 y)) |
(/ 4 y) |
4 |
(* (* x x) -9/4) |
(* x x) |
-9/4 |
| Outputs |
|---|
(* y (+ -1/2 (* 3/2 (/ x y)))) |
(+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal -2 binary64))) |
y |
(+ -1/2 (* 3/2 (/ x y))) |
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x))) |
-1/2 |
#s(literal -1/2 binary64) |
(* 3/2 (/ x y)) |
(/.f64 #s(literal 3/2 binary64) (/.f64 y x)) |
3/2 |
#s(literal 3/2 binary64) |
(/ x y) |
(/.f64 x y) |
x |
(* 3/2 x) |
(/.f64 x #s(literal 2/3 binary64)) |
3/2 |
#s(literal 3/2 binary64) |
x |
(/ 1 (/ 2/3 x)) |
(/.f64 x #s(literal 2/3 binary64)) |
1 |
#s(literal 1 binary64) |
(/ 2/3 x) |
(/.f64 #s(literal 2/3 binary64) x) |
2/3 |
#s(literal 2/3 binary64) |
x |
(/ (* (* x x) 9/4) (+ (* x 3/2) (/ y 2))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64)))) |
(* (* x x) 9/4) |
(*.f64 x (*.f64 x #s(literal 9/4 binary64))) |
(* x x) |
(*.f64 x x) |
x |
9/4 |
#s(literal 9/4 binary64) |
(+ (* x 3/2) (/ y 2)) |
(+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64))) |
(* x 3/2) |
(/.f64 x #s(literal 2/3 binary64)) |
3/2 |
#s(literal 3/2 binary64) |
(/ y 2) |
(/.f64 y #s(literal 2 binary64)) |
y |
2 |
#s(literal 2 binary64) |
(* (/ 1 (+ (/ y -2) (* x -3/2))) (+ (/ y (/ 4 y)) (* (* x x) -9/4))) |
(/.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal -9/4 binary64)))) (+.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal -2 binary64)))) |
(/ 1 (+ (/ y -2) (* x -3/2))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal -2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ (/ y -2) (* x -3/2)) |
(+.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal -2 binary64))) |
(/ y -2) |
(/.f64 y #s(literal -2 binary64)) |
y |
-2 |
#s(literal -2 binary64) |
(* x -3/2) |
(*.f64 x #s(literal -3/2 binary64)) |
x |
-3/2 |
#s(literal -3/2 binary64) |
(+ (/ y (/ 4 y)) (* (* x x) -9/4)) |
(+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal -9/4 binary64)))) |
(/ y (/ 4 y)) |
(/.f64 y (/.f64 #s(literal 4 binary64) y)) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
4 |
#s(literal 4 binary64) |
(* (* x x) -9/4) |
(*.f64 x (*.f64 x #s(literal -9/4 binary64))) |
(* x x) |
(*.f64 x x) |
-9/4 |
#s(literal -9/4 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) #s(literal -9/4 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 y (/.f64 #s(literal 4 binary64) y)) |
| ✓ | accuracy | 97.2% | (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) |
| ✓ | accuracy | 73.4% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 3/2 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) |
| ✓ | accuracy | 81.2% | (/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 2/3 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 3/2 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
| ✓ | accuracy | 93.1% | (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
| 302.0ms | 92× | 5 | exit |
| 132.0ms | 164× | 0 | valid |
Compiled 163 to 35 computations (78.5% saved)
ival-div: 64.0ms (35.4% of total)ival-mult: 37.0ms (20.5% of total)backward-pass: 34.0ms (18.8% of total)...c/correct-round.rkt:119:19: 30.0ms (16.6% of total)ival-add: 13.0ms (7.2% of total)const: 3.0ms (1.7% of total)| Inputs |
|---|
#<alt (* y (+ -1/2 (* 3/2 (/ x y))))> |
#<alt (+ -1/2 (* 3/2 (/ x y)))> |
#<alt (* 3/2 (/ x y))> |
#<alt (/ x y)> |
#<alt (* 3/2 x)> |
#<alt (/ 1 (/ 2/3 x))> |
#<alt (/ 2/3 x)> |
#<alt (/ (* (* x x) 9/4) (+ (* x 3/2) (/ y 2)))> |
#<alt (* (* x x) 9/4)> |
#<alt (* x x)> |
#<alt (+ (* x 3/2) (/ y 2))> |
#<alt (* (/ 1 (+ (/ y -2) (* x -3/2))) (+ (/ y (/ 4 y)) (* (* x x) -9/4)))> |
#<alt (/ 1 (+ (/ y -2) (* x -3/2)))> |
#<alt (+ (/ y -2) (* x -3/2))> |
#<alt (/ y -2)> |
#<alt (* x 3/2)> |
#<alt (+ (/ y (/ 4 y)) (* (* x x) -9/4))> |
#<alt (/ y (/ 4 y))> |
#<alt (* (* x x) -9/4)> |
| Outputs |
|---|
#<alt (* 3/2 x)> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (* 3/2 x)> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* 3/2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt -1/2> |
#<alt (- (* 3/2 (/ x y)) 1/2)> |
#<alt (- (* 3/2 (/ x y)) 1/2)> |
#<alt (- (* 3/2 (/ x y)) 1/2)> |
#<alt (* 3/2 (/ x y))> |
#<alt (* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))> |
#<alt (* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))> |
#<alt (* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))> |
#<alt (* 3/2 (/ x y))> |
#<alt (/ (+ (* -1/2 y) (* 3/2 x)) y)> |
#<alt (/ (+ (* -1/2 y) (* 3/2 x)) y)> |
#<alt (/ (+ (* -1/2 y) (* 3/2 x)) y)> |
#<alt -1/2> |
#<alt (- (* 3/2 (/ x y)) 1/2)> |
#<alt (- (* 3/2 (/ x y)) 1/2)> |
#<alt (- (* 3/2 (/ x y)) 1/2)> |
#<alt -1/2> |
#<alt (- (* 3/2 (/ x y)) 1/2)> |
#<alt (- (* 3/2 (/ x y)) 1/2)> |
#<alt (- (* 3/2 (/ x y)) 1/2)> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ 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 (/ x y)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (/ 2/3 x)> |
#<alt (/ 2/3 x)> |
#<alt (/ 2/3 x)> |
#<alt (/ 2/3 x)> |
#<alt (/ 2/3 x)> |
#<alt (/ 2/3 x)> |
#<alt (/ 2/3 x)> |
#<alt (/ 2/3 x)> |
#<alt (/ 2/3 x)> |
#<alt (/ 2/3 x)> |
#<alt (/ 2/3 x)> |
#<alt (/ 2/3 x)> |
#<alt (* 9/2 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (+ (* -27/2 (/ x (pow y 2))) (* 9/2 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* x (- (* 81/2 (/ x (pow y 3))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* x (- (* x (+ (* -243/2 (/ x (pow y 4))) (* 81/2 (/ 1 (pow y 3))))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))> |
#<alt (* 3/2 x)> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* x (- (+ 3/2 (* 1/6 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x))))> |
#<alt (* x (- (+ 3/2 (* -1/18 (/ (pow y 3) (pow x 3)))) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))> |
#<alt (* 3/2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/6 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/18 (/ (pow y 3) x)) (* 1/6 (pow y 2))) x)) (* 1/2 y)) x)) 3/2)))> |
#<alt (* 3/2 x)> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* 3/2 x) (* y (- (* 1/6 (/ y x)) 1/2)))> |
#<alt (+ (* 3/2 x) (* y (- (* y (+ (* -1/18 (/ y (pow x 2))) (* 1/6 (/ 1 x)))) 1/2)))> |
#<alt (* 9/2 (/ (pow x 2) y))> |
#<alt (/ (+ (* -27/2 (/ (pow x 3) y)) (* 9/2 (pow x 2))) y)> |
#<alt (/ (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2))))) y)> |
#<alt (/ (+ (* -243/2 (/ (pow x 5) (pow y 3))) (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2)))))) y)> |
#<alt (* 9/2 (/ (pow x 2) y))> |
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* 27/2 (/ (pow x 3) y))) y))> |
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* 81/2 (/ (pow x 4) y))) y))) y))> |
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* -1 (/ (+ (* -81/2 (pow x 4)) (* 243/2 (/ (pow x 5) y))) y))) y))) y))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/2 y)> |
#<alt (+ (* 1/2 y) (* 3/2 x))> |
#<alt (+ (* 1/2 y) (* 3/2 x))> |
#<alt (+ (* 1/2 y) (* 3/2 x))> |
#<alt (* 3/2 x)> |
#<alt (* x (+ 3/2 (* 1/2 (/ y x))))> |
#<alt (* x (+ 3/2 (* 1/2 (/ y x))))> |
#<alt (* x (+ 3/2 (* 1/2 (/ y x))))> |
#<alt (* 3/2 x)> |
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 3/2)))> |
#<alt (* 3/2 x)> |
#<alt (+ (* 1/2 y) (* 3/2 x))> |
#<alt (+ (* 1/2 y) (* 3/2 x))> |
#<alt (+ (* 1/2 y) (* 3/2 x))> |
#<alt (* 1/2 y)> |
#<alt (* y (+ 1/2 (* 3/2 (/ x y))))> |
#<alt (* y (+ 1/2 (* 3/2 (/ x y))))> |
#<alt (* y (+ 1/2 (* 3/2 (/ x y))))> |
#<alt (* 1/2 y)> |
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))> |
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))> |
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))> |
#<alt (* 3/2 x)> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (* 3/2 x)> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* 3/2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (/ -2/3 x)> |
#<alt (- (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))> |
#<alt (- (* y (+ (* -2/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))> |
#<alt (- (* y (+ (* y (- (* 2/81 (/ y (pow x 4))) (* 2/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))> |
#<alt (/ -2 y)> |
#<alt (/ (- (* 6 (/ x y)) 2) y)> |
#<alt (/ (- (* -18 (/ (pow x 2) (pow y 2))) (+ 2 (* -6 (/ x y)))) y)> |
#<alt (/ (- (* 54 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* -6 (/ x y)) (* 18 (/ (pow x 2) (pow y 2)))))) y)> |
#<alt (/ -2 y)> |
#<alt (* -1 (/ (+ 2 (* -6 (/ x y))) y))> |
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -18 (/ (pow x 2) y)) (* -6 x)) y))) y))> |
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* -54 (/ (pow x 3) y)) (* -18 (pow x 2))) y)) (* -6 x)) y))) y))> |
#<alt (/ -2 y)> |
#<alt (- (* 6 (/ x (pow y 2))) (* 2 (/ 1 y)))> |
#<alt (- (* x (+ (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))> |
#<alt (- (* x (+ (* x (- (* 54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))> |
#<alt (/ -2/3 x)> |
#<alt (/ (- (* 2/9 (/ y x)) 2/3) x)> |
#<alt (/ (- (* -2/27 (/ (pow y 2) (pow x 2))) (+ 2/3 (* -2/9 (/ y x)))) x)> |
#<alt (/ (- (* 2/81 (/ (pow y 3) (pow x 3))) (+ 2/3 (+ (* -2/9 (/ y x)) (* 2/27 (/ (pow y 2) (pow x 2)))))) x)> |
#<alt (/ -2/3 x)> |
#<alt (* -1 (/ (+ 2/3 (* -2/9 (/ y x))) x))> |
#<alt (* -1 (/ (+ 2/3 (* -1 (/ (- (* -2/27 (/ (pow y 2) x)) (* -2/9 y)) x))) x))> |
#<alt (* -1 (/ (+ 2/3 (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* -2/27 (pow y 2))) x)) (* -2/9 y)) x))) x))> |
#<alt (* -3/2 x)> |
#<alt (+ (* -3/2 x) (* -1/2 y))> |
#<alt (+ (* -3/2 x) (* -1/2 y))> |
#<alt (+ (* -3/2 x) (* -1/2 y))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* -3/2 (/ x y)) 1/2))> |
#<alt (* y (- (* -3/2 (/ x y)) 1/2))> |
#<alt (* y (- (* -3/2 (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* 3/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* 3/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* 3/2 (/ x y)))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -3/2 x) (* -1/2 y))> |
#<alt (+ (* -3/2 x) (* -1/2 y))> |
#<alt (+ (* -3/2 x) (* -1/2 y))> |
#<alt (* -3/2 x)> |
#<alt (* x (- (* -1/2 (/ y x)) 3/2))> |
#<alt (* x (- (* -1/2 (/ y x)) 3/2))> |
#<alt (* x (- (* -1/2 (/ y x)) 3/2))> |
#<alt (* -3/2 x)> |
#<alt (* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))> |
#<alt (* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))> |
#<alt (* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* -9/4 (pow x 2))> |
#<alt (+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))> |
#<alt (+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))> |
#<alt (+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))> |
#<alt (+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))> |
#<alt (+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))> |
#<alt (* -9/4 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))> |
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))> |
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))> |
#<alt (* -9/4 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))> |
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))> |
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* -9/4 (pow x 2))> |
#<alt (* -9/4 (pow x 2))> |
#<alt (* -9/4 (pow x 2))> |
#<alt (* -9/4 (pow x 2))> |
#<alt (* -9/4 (pow x 2))> |
#<alt (* -9/4 (pow x 2))> |
#<alt (* -9/4 (pow x 2))> |
#<alt (* -9/4 (pow x 2))> |
#<alt (* -9/4 (pow x 2))> |
#<alt (* -9/4 (pow x 2))> |
#<alt (* -9/4 (pow x 2))> |
#<alt (* -9/4 (pow x 2))> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (/ (* (* x x) 9/4) (+ (* x 3/2) (/ y 2))) |
| 2.0ms | x | @ | -inf | (* 3/2 (/ x y)) |
| 1.0ms | y | @ | 0 | (* y (+ -1/2 (* 3/2 (/ x y)))) |
| 1.0ms | y | @ | -inf | (* y (+ -1/2 (* 3/2 (/ x y)))) |
| 1.0ms | x | @ | inf | (* y (+ -1/2 (* 3/2 (/ x y)))) |
| 1× | batch-egg-rewrite |
| 3982× | /-lowering-/.f32 |
| 3982× | /-lowering-/.f64 |
| 3698× | *-lowering-*.f32 |
| 3698× | *-lowering-*.f64 |
| 1666× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 115 |
| 1 | 186 | 95 |
| 2 | 1852 | 95 |
| 0 | 8423 | 95 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (+ -1/2 (* 3/2 (/ x y)))) |
(+ -1/2 (* 3/2 (/ x y))) |
(* 3/2 (/ x y)) |
(/ x y) |
(* 3/2 x) |
(/ 1 (/ 2/3 x)) |
(/ 2/3 x) |
(/ (* (* x x) 9/4) (+ (* x 3/2) (/ y 2))) |
(* (* x x) 9/4) |
(* x x) |
(+ (* x 3/2) (/ y 2)) |
(* (/ 1 (+ (/ y -2) (* x -3/2))) (+ (/ y (/ 4 y)) (* (* x x) -9/4))) |
(/ 1 (+ (/ y -2) (* x -3/2))) |
(+ (/ y -2) (* x -3/2)) |
(/ y -2) |
(* x 3/2) |
(+ (/ y (/ 4 y)) (* (* x x) -9/4)) |
(/ y (/ 4 y)) |
(* (* x x) -9/4) |
| Outputs |
|---|
(+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y)) |
(+.f64 (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y) (/.f64 y #s(literal -2 binary64))) |
(-.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (-.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y))) (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y)) (-.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y)))) |
(fma.f64 y #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y)) |
(fma.f64 y (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) (/.f64 y #s(literal -2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y)) |
(fma.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 x y) y) (/.f64 y #s(literal -2 binary64))) |
(fma.f64 (/.f64 x y) (*.f64 #s(literal 3/2 binary64) y) (/.f64 y #s(literal -2 binary64))) |
(fma.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) y (/.f64 y #s(literal -2 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y)) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y)) |
(fma.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 x y) (/.f64 y #s(literal -2 binary64))) |
(fma.f64 (*.f64 y (/.f64 x y)) #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64))) |
(/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y)) (*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y))))) |
(/.f64 (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y))) (-.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y))) |
(/.f64 (*.f64 y (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) (-.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (*.f64 y y)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x #s(literal 2/3 binary64)) y))) |
(/.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y)))) y) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) (-.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (*.f64 y y))) y) (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x #s(literal 2/3 binary64)) y))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y)) (*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y)))) (neg.f64 (-.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y)))) |
(/.f64 (neg.f64 (*.f64 y (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y)))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) (-.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (*.f64 y y))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x #s(literal 2/3 binary64)) y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y)))) y)) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) (-.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (*.f64 y y))) y)) (neg.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x #s(literal 2/3 binary64)) y)))) |
(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y)) (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y) (/.f64 y #s(literal -2 binary64)))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x #s(literal 2/3 binary64)) y))) |
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x #s(literal 2/3 binary64)) y)) y) |
(+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x #s(literal 2/3 binary64)) y)) |
(+.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x #s(literal 2/3 binary64)) y))) (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (*.f64 y y)) (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x #s(literal 2/3 binary64)) y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (*.f64 y y)) (-.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 x (/.f64 #s(literal 3/2 binary64) y) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 x y) #s(literal 3/2 binary64) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) (-.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) #s(literal -1/2 binary64)))) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x #s(literal 2/3 binary64)) y)) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (*.f64 y y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) (-.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) #s(literal -1/2 binary64)))) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x #s(literal 2/3 binary64)) y)) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (*.f64 y y)))))) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) (-.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) #s(literal -1/2 binary64))))) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (*.f64 y y)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/4 binary64) (/.f64 x y))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (*.f64 y y))) (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x #s(literal 2/3 binary64)) y))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) (-.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (*.f64 y y)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/4 binary64) (/.f64 x y)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x #s(literal 2/3 binary64)) y)))) |
(/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (*.f64 y y)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) (-.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (*.f64 y y))))) (neg.f64 (neg.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x #s(literal 2/3 binary64)) y))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (*.f64 y y)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) #s(literal -1/2 binary64)))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) (-.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) #s(literal -1/2 binary64)))) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x #s(literal 2/3 binary64)) y)) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (*.f64 y y)))) #s(literal -1 binary64)) |
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(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) y) #s(literal -4 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) y))) |
(/.f64 (neg.f64 (/.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 4 binary64) y)) |
(/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) y) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) y)) |
(/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) y)) |
(/.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y)) #s(literal 2 binary64)) |
(/.f64 (*.f64 y (/.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 y (/.f64 y #s(literal -2 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal -4 binary64) y)) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -4 binary64) y)) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) y)))) |
(/.f64 (neg.f64 (*.f64 y y)) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) y)) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) y)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) y)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 2 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -2 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 y (/.f64 y #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 y (/.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y #s(literal -2 binary64)))) #s(literal -2 binary64)) |
(pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 y (/.f64 y #s(literal 4 binary64))) |
(*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 y #s(literal 2 binary64)))) |
(*.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y #s(literal -2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 4 binary64) y))) |
(*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))) |
(*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal -2 binary64))) |
(*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) y))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 y y)) |
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/4 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 y #s(literal 4 binary64)) y) |
(*.f64 (/.f64 y #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 y y) #s(literal 1/4 binary64)) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 y #s(literal 4 binary64))) |
(*.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) y) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) y) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 y #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (/.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))) |
(*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal -1/4 binary64) (/.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal 1/4 binary64)) |
(*.f64 (/.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (/.f64 y #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal 9/4 binary64)))) |
(neg.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64)))) |
(*.f64 x (*.f64 x #s(literal -9/4 binary64))) |
(*.f64 x (neg.f64 (*.f64 x #s(literal 9/4 binary64)))) |
(*.f64 (*.f64 x x) #s(literal -9/4 binary64)) |
(*.f64 #s(literal 9/4 binary64) (neg.f64 (*.f64 x x))) |
(*.f64 #s(literal -9/4 binary64) (*.f64 x x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 9/4 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal 9/4 binary64))) |
(*.f64 (*.f64 x #s(literal -9/4 binary64)) x) |
(*.f64 (neg.f64 (*.f64 x x)) #s(literal 9/4 binary64)) |
| 1× | egg-herbie |
| 5074× | *-lowering-*.f32 |
| 5074× | *-lowering-*.f64 |
| 1712× | /-lowering-/.f32 |
| 1712× | /-lowering-/.f64 |
| 1524× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 322 | 2335 |
| 1 | 1016 | 2149 |
| 2 | 2874 | 2106 |
| 3 | 7491 | 2106 |
| 0 | 8251 | 2106 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3/2 x) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* -1/2 y) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1/2 y) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* 3/2 x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* 3/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
-1/2 |
(- (* 3/2 (/ x y)) 1/2) |
(- (* 3/2 (/ x y)) 1/2) |
(- (* 3/2 (/ x y)) 1/2) |
(* 3/2 (/ x y)) |
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(* 3/2 (/ x y)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y))))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y))))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y))))) |
(* 3/2 (/ x y)) |
(/ (+ (* -1/2 y) (* 3/2 x)) y) |
(/ (+ (* -1/2 y) (* 3/2 x)) y) |
(/ (+ (* -1/2 y) (* 3/2 x)) y) |
-1/2 |
(- (* 3/2 (/ x y)) 1/2) |
(- (* 3/2 (/ x y)) 1/2) |
(- (* 3/2 (/ x y)) 1/2) |
-1/2 |
(- (* 3/2 (/ x y)) 1/2) |
(- (* 3/2 (/ x y)) 1/2) |
(- (* 3/2 (/ x y)) 1/2) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ 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) |
(/ x y) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(/ 2/3 x) |
(/ 2/3 x) |
(/ 2/3 x) |
(/ 2/3 x) |
(/ 2/3 x) |
(/ 2/3 x) |
(/ 2/3 x) |
(/ 2/3 x) |
(/ 2/3 x) |
(/ 2/3 x) |
(/ 2/3 x) |
(/ 2/3 x) |
(* 9/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* -27/2 (/ x (pow y 2))) (* 9/2 (/ 1 y)))) |
(* (pow x 2) (+ (* x (- (* 81/2 (/ x (pow y 3))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y)))) |
(* (pow x 2) (+ (* x (- (* x (+ (* -243/2 (/ x (pow y 4))) (* 81/2 (/ 1 (pow y 3))))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y)))) |
(* 3/2 x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (- (+ 3/2 (* 1/6 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x)))) |
(* x (- (+ 3/2 (* -1/18 (/ (pow y 3) (pow x 3)))) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x))))) |
(* 3/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* -1 (/ (- (* 1/6 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/2))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/18 (/ (pow y 3) x)) (* 1/6 (pow y 2))) x)) (* 1/2 y)) x)) 3/2))) |
(* 3/2 x) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* 3/2 x) (* y (- (* 1/6 (/ y x)) 1/2))) |
(+ (* 3/2 x) (* y (- (* y (+ (* -1/18 (/ y (pow x 2))) (* 1/6 (/ 1 x)))) 1/2))) |
(* 9/2 (/ (pow x 2) y)) |
(/ (+ (* -27/2 (/ (pow x 3) y)) (* 9/2 (pow x 2))) y) |
(/ (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2))))) y) |
(/ (+ (* -243/2 (/ (pow x 5) (pow y 3))) (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2)))))) y) |
(* 9/2 (/ (pow x 2) y)) |
(* -1 (/ (+ (* -9/2 (pow x 2)) (* 27/2 (/ (pow x 3) y))) y)) |
(* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* 81/2 (/ (pow x 4) y))) y))) y)) |
(* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* -1 (/ (+ (* -81/2 (pow x 4)) (* 243/2 (/ (pow x 5) y))) y))) y))) y)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 y) |
(+ (* 1/2 y) (* 3/2 x)) |
(+ (* 1/2 y) (* 3/2 x)) |
(+ (* 1/2 y) (* 3/2 x)) |
(* 3/2 x) |
(* x (+ 3/2 (* 1/2 (/ y x)))) |
(* x (+ 3/2 (* 1/2 (/ y x)))) |
(* x (+ 3/2 (* 1/2 (/ y x)))) |
(* 3/2 x) |
(* -1 (* x (- (* -1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* -1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* -1/2 (/ y x)) 3/2))) |
(* 3/2 x) |
(+ (* 1/2 y) (* 3/2 x)) |
(+ (* 1/2 y) (* 3/2 x)) |
(+ (* 1/2 y) (* 3/2 x)) |
(* 1/2 y) |
(* y (+ 1/2 (* 3/2 (/ x y)))) |
(* y (+ 1/2 (* 3/2 (/ x y)))) |
(* y (+ 1/2 (* 3/2 (/ x y)))) |
(* 1/2 y) |
(* -1 (* y (- (* -3/2 (/ x y)) 1/2))) |
(* -1 (* y (- (* -3/2 (/ x y)) 1/2))) |
(* -1 (* y (- (* -3/2 (/ x y)) 1/2))) |
(* 3/2 x) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* -1/2 y) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1/2 y) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* 3/2 x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* 3/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(/ -2/3 x) |
(- (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x))) |
(- (* y (+ (* -2/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x))) |
(- (* y (+ (* y (- (* 2/81 (/ y (pow x 4))) (* 2/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x))) |
(/ -2 y) |
(/ (- (* 6 (/ x y)) 2) y) |
(/ (- (* -18 (/ (pow x 2) (pow y 2))) (+ 2 (* -6 (/ x y)))) y) |
(/ (- (* 54 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* -6 (/ x y)) (* 18 (/ (pow x 2) (pow y 2)))))) y) |
(/ -2 y) |
(* -1 (/ (+ 2 (* -6 (/ x y))) y)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -18 (/ (pow x 2) y)) (* -6 x)) y))) y)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* -54 (/ (pow x 3) y)) (* -18 (pow x 2))) y)) (* -6 x)) y))) y)) |
(/ -2 y) |
(- (* 6 (/ x (pow y 2))) (* 2 (/ 1 y))) |
(- (* x (+ (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(- (* x (+ (* x (- (* 54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(/ -2/3 x) |
(/ (- (* 2/9 (/ y x)) 2/3) x) |
(/ (- (* -2/27 (/ (pow y 2) (pow x 2))) (+ 2/3 (* -2/9 (/ y x)))) x) |
(/ (- (* 2/81 (/ (pow y 3) (pow x 3))) (+ 2/3 (+ (* -2/9 (/ y x)) (* 2/27 (/ (pow y 2) (pow x 2)))))) x) |
(/ -2/3 x) |
(* -1 (/ (+ 2/3 (* -2/9 (/ y x))) x)) |
(* -1 (/ (+ 2/3 (* -1 (/ (- (* -2/27 (/ (pow y 2) x)) (* -2/9 y)) x))) x)) |
(* -1 (/ (+ 2/3 (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* -2/27 (pow y 2))) x)) (* -2/9 y)) x))) x)) |
(* -3/2 x) |
(+ (* -3/2 x) (* -1/2 y)) |
(+ (* -3/2 x) (* -1/2 y)) |
(+ (* -3/2 x) (* -1/2 y)) |
(* -1/2 y) |
(* y (- (* -3/2 (/ x y)) 1/2)) |
(* y (- (* -3/2 (/ x y)) 1/2)) |
(* y (- (* -3/2 (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* 3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* 3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* 3/2 (/ x y))))) |
(* -1/2 y) |
(+ (* -3/2 x) (* -1/2 y)) |
(+ (* -3/2 x) (* -1/2 y)) |
(+ (* -3/2 x) (* -1/2 y)) |
(* -3/2 x) |
(* x (- (* -1/2 (/ y x)) 3/2)) |
(* x (- (* -1/2 (/ y x)) 3/2)) |
(* x (- (* -1/2 (/ y x)) 3/2)) |
(* -3/2 x) |
(* -1 (* x (+ 3/2 (* 1/2 (/ y x))))) |
(* -1 (* x (+ 3/2 (* 1/2 (/ y x))))) |
(* -1 (* x (+ 3/2 (* 1/2 (/ y x))))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* -9/4 (pow x 2)) |
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2))) |
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2))) |
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2))) |
(* 1/4 (pow y 2)) |
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2))))) |
(* 1/4 (pow y 2)) |
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2))))) |
(* 1/4 (pow y 2)) |
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2))) |
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2))) |
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2))) |
(* -9/4 (pow x 2)) |
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4)) |
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4)) |
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4)) |
(* -9/4 (pow x 2)) |
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4)) |
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4)) |
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4)) |
(* 1/4 (pow y 2)) |
(* 1/4 (pow y 2)) |
(* 1/4 (pow y 2)) |
(* 1/4 (pow y 2)) |
(* 1/4 (pow y 2)) |
(* 1/4 (pow y 2)) |
(* 1/4 (pow y 2)) |
(* 1/4 (pow y 2)) |
(* 1/4 (pow y 2)) |
(* 1/4 (pow y 2)) |
(* 1/4 (pow y 2)) |
(* 1/4 (pow y 2)) |
(* -9/4 (pow x 2)) |
(* -9/4 (pow x 2)) |
(* -9/4 (pow x 2)) |
(* -9/4 (pow x 2)) |
(* -9/4 (pow x 2)) |
(* -9/4 (pow x 2)) |
(* -9/4 (pow x 2)) |
(* -9/4 (pow x 2)) |
(* -9/4 (pow x 2)) |
(* -9/4 (pow x 2)) |
(* -9/4 (pow x 2)) |
(* -9/4 (pow x 2)) |
| Outputs |
|---|
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 3/2 (/ x y)) 1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) |
(- (* 3/2 (/ x y)) 1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) |
(- (* 3/2 (/ x y)) 1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 3/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) |
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 3/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) |
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 3/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 3/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 3/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 3/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(/ (+ (* -1/2 y) (* 3/2 x)) y) |
(/.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) y) |
(/ (+ (* -1/2 y) (* 3/2 x)) y) |
(/.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) y) |
(/ (+ (* -1/2 y) (* 3/2 x)) y) |
(/.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) y) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 3/2 (/ x y)) 1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) |
(- (* 3/2 (/ x y)) 1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) |
(- (* 3/2 (/ x y)) 1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 3/2 (/ x y)) 1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) |
(- (* 3/2 (/ x y)) 1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) |
(- (* 3/2 (/ x y)) 1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
(* 3/2 (/ x y)) |
(*.f64 #s(literal 3/2 binary64) (/.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) |
(/ x y) |
(/.f64 x y) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(/ 2/3 x) |
(/.f64 #s(literal 2/3 binary64) x) |
(/ 2/3 x) |
(/.f64 #s(literal 2/3 binary64) x) |
(/ 2/3 x) |
(/.f64 #s(literal 2/3 binary64) x) |
(/ 2/3 x) |
(/.f64 #s(literal 2/3 binary64) x) |
(/ 2/3 x) |
(/.f64 #s(literal 2/3 binary64) x) |
(/ 2/3 x) |
(/.f64 #s(literal 2/3 binary64) x) |
(/ 2/3 x) |
(/.f64 #s(literal 2/3 binary64) x) |
(/ 2/3 x) |
(/.f64 #s(literal 2/3 binary64) x) |
(/ 2/3 x) |
(/.f64 #s(literal 2/3 binary64) x) |
(/ 2/3 x) |
(/.f64 #s(literal 2/3 binary64) x) |
(/ 2/3 x) |
(/.f64 #s(literal 2/3 binary64) x) |
(/ 2/3 x) |
(/.f64 #s(literal 2/3 binary64) x) |
(* 9/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 #s(literal 9/2 binary64) (*.f64 x x)) y) |
(* (pow x 2) (+ (* -27/2 (/ x (pow y 2))) (* 9/2 (/ 1 y)))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 9/2 binary64) y) (*.f64 x (/.f64 #s(literal -27/2 binary64) (*.f64 y y))))) |
(* (pow x 2) (+ (* x (- (* 81/2 (/ x (pow y 3))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y)))) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 9/2 binary64) y) (*.f64 x (+.f64 (/.f64 #s(literal -27/2 binary64) (*.f64 y y)) (/.f64 (*.f64 x #s(literal 81/2 binary64)) (*.f64 y (*.f64 y y)))))))) |
(* (pow x 2) (+ (* x (- (* x (+ (* -243/2 (/ x (pow y 4))) (* 81/2 (/ 1 (pow y 3))))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y)))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 9/2 binary64) y) (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 (*.f64 x #s(literal -243/2 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 81/2 binary64) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal -27/2 binary64) (*.f64 y y)))))) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* x (- (+ 3/2 (* 1/6 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x)))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y #s(literal 1/6 binary64)) x))) x))) |
(* x (- (+ 3/2 (* -1/18 (/ (pow y 3) (pow x 3)))) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x))))) |
(*.f64 x (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/18 binary64)))) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y #s(literal 1/6 binary64)) x))) x))) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* -1 (* x (- (* -1 (/ (- (* 1/6 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/2))) |
(*.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y #s(literal 1/6 binary64)) x))) x)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/18 (/ (pow y 3) x)) (* 1/6 (pow y 2))) x)) (* 1/2 y)) x)) 3/2))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/18 binary64)))) x)) x)) x))) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(+ (* 3/2 x) (* y (- (* 1/6 (/ y x)) 1/2))) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y #s(literal 1/6 binary64)) x)))) |
(+ (* 3/2 x) (* y (- (* y (+ (* -1/18 (/ y (pow x 2))) (* 1/6 (/ 1 x)))) 1/2))) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 y (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x)))))) |
(* 9/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 #s(literal 9/2 binary64) (*.f64 x x)) y) |
(/ (+ (* -27/2 (/ (pow x 3) y)) (* 9/2 (pow x 2))) y) |
(/.f64 (+.f64 (*.f64 #s(literal -27/2 binary64) (*.f64 x (/.f64 (*.f64 x x) y))) (*.f64 #s(literal 9/2 binary64) (*.f64 x x))) y) |
(/ (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2))))) y) |
(/.f64 (+.f64 (*.f64 #s(literal -27/2 binary64) (*.f64 x (/.f64 (*.f64 x x) y))) (+.f64 (*.f64 #s(literal 9/2 binary64) (*.f64 x x)) (/.f64 (/.f64 (*.f64 #s(literal 81/2 binary64) (pow.f64 x #s(literal 4 binary64))) y) y))) y) |
(/ (+ (* -243/2 (/ (pow x 5) (pow y 3))) (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2)))))) y) |
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(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* -9/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9/4 binary64))) |
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -9/4 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) |
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -9/4 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) |
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -9/4 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) |
(* 1/4 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/4 binary64))) |
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -9/4 binary64) (/.f64 (*.f64 x x) y)) y))) |
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -9/4 binary64) (/.f64 (*.f64 x x) y)) y))) |
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -9/4 binary64) (/.f64 (*.f64 x x) y)) y))) |
(* 1/4 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/4 binary64))) |
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -9/4 binary64) (/.f64 (*.f64 x x) y)) y))) |
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -9/4 binary64) (/.f64 (*.f64 x x) y)) y))) |
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -9/4 binary64) (/.f64 (*.f64 x x) y)) y))) |
(* 1/4 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/4 binary64))) |
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -9/4 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) |
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -9/4 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) |
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -9/4 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) |
(* -9/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9/4 binary64))) |
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -9/4 binary64) (*.f64 (/.f64 (*.f64 y (/.f64 y x)) x) #s(literal 1/4 binary64)))) |
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -9/4 binary64) (*.f64 (/.f64 (*.f64 y (/.f64 y x)) x) #s(literal 1/4 binary64)))) |
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -9/4 binary64) (*.f64 (/.f64 (*.f64 y (/.f64 y x)) x) #s(literal 1/4 binary64)))) |
(* -9/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9/4 binary64))) |
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -9/4 binary64) (*.f64 (/.f64 (*.f64 y (/.f64 y x)) x) #s(literal 1/4 binary64)))) |
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -9/4 binary64) (*.f64 (/.f64 (*.f64 y (/.f64 y x)) x) #s(literal 1/4 binary64)))) |
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -9/4 binary64) (*.f64 (/.f64 (*.f64 y (/.f64 y x)) x) #s(literal 1/4 binary64)))) |
(* 1/4 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/4 binary64))) |
(* 1/4 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/4 binary64))) |
(* 1/4 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/4 binary64))) |
(* 1/4 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/4 binary64))) |
(* 1/4 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/4 binary64))) |
(* 1/4 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/4 binary64))) |
(* 1/4 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/4 binary64))) |
(* 1/4 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/4 binary64))) |
(* 1/4 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/4 binary64))) |
(* 1/4 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/4 binary64))) |
(* 1/4 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/4 binary64))) |
(* 1/4 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/4 binary64))) |
(* -9/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9/4 binary64))) |
(* -9/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9/4 binary64))) |
(* -9/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9/4 binary64))) |
(* -9/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9/4 binary64))) |
(* -9/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9/4 binary64))) |
(* -9/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9/4 binary64))) |
(* -9/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9/4 binary64))) |
(* -9/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9/4 binary64))) |
(* -9/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9/4 binary64))) |
(* -9/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9/4 binary64))) |
(* -9/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9/4 binary64))) |
(* -9/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9/4 binary64))) |
Compiled 28087 to 2795 computations (90% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1224 | 5 | 1229 |
| Fresh | 1 | 1 | 2 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1230 | 10 | 1240 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 56.2% | (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) |
| 35.7% | (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal -1/4 binary64)))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) | |
| ▶ | 25.0% | (/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (*.f64 #s(literal 3/2 binary64) x)) |
| ▶ | 47.3% | (/.f64 x #s(literal 2/3 binary64)) |
| ▶ | 47.4% | (/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 99.9% | (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
| ▶ | 90.0% | (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x)))) |
| ▶ | 46.9% | (*.f64 x (/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64))))) |
| ✓ | 47.5% | (*.f64 #s(literal 3/2 binary64) x) |
| ✓ | 54.2% | (*.f64 #s(literal -1/2 binary64) y) |
Compiled 188 to 138 computations (26.6% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 9/4 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3/2 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (*.f64 #s(literal 3/2 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 x #s(literal 2/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x))) |
| ✓ | cost-diff | 128 | (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x)))) |
| 7476× | *-lowering-*.f32 |
| 7476× | *-lowering-*.f64 |
| 2196× | cube-prod |
| 1914× | /-lowering-/.f32 |
| 1914× | /-lowering-/.f64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 100 |
| 1 | 55 | 98 |
| 2 | 113 | 98 |
| 3 | 215 | 98 |
| 4 | 699 | 96 |
| 5 | 3481 | 93 |
| 6 | 4208 | 93 |
| 7 | 4981 | 93 |
| 8 | 6187 | 93 |
| 9 | 6654 | 93 |
| 10 | 6761 | 93 |
| 11 | 6837 | 93 |
| 12 | 6910 | 93 |
| 13 | 6975 | 93 |
| 0 | 8310 | 93 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (+ -1/2 (/ 3/2 (/ y x)))) |
y |
(+ -1/2 (/ 3/2 (/ y x))) |
-1/2 |
(/ 3/2 (/ y x)) |
3/2 |
(/ y x) |
x |
(/ x 2/3) |
x |
2/3 |
(/ 3/2 (/ 1 x)) |
3/2 |
(/ 1 x) |
1 |
x |
(/ (* (* x x) 9/4) (* 3/2 x)) |
(* (* x x) 9/4) |
(* x x) |
x |
9/4 |
(* 3/2 x) |
3/2 |
(* x (/ (* x 9/4) (+ (/ x 2/3) (/ y 2)))) |
x |
(/ (* x 9/4) (+ (/ x 2/3) (/ y 2))) |
(* x 9/4) |
9/4 |
(+ (/ x 2/3) (/ y 2)) |
(/ x 2/3) |
2/3 |
(/ y 2) |
y |
2 |
| Outputs |
|---|
(* y (+ -1/2 (/ 3/2 (/ y x)))) |
(+.f64 (/.f64 x #s(literal 2/3 binary64)) (*.f64 y #s(literal -1/2 binary64))) |
y |
(+ -1/2 (/ 3/2 (/ y x))) |
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x))) |
-1/2 |
#s(literal -1/2 binary64) |
(/ 3/2 (/ y x)) |
(/.f64 #s(literal 3/2 binary64) (/.f64 y x)) |
3/2 |
#s(literal 3/2 binary64) |
(/ y x) |
(/.f64 y x) |
x |
(/ x 2/3) |
(/.f64 x #s(literal 2/3 binary64)) |
x |
2/3 |
#s(literal 2/3 binary64) |
(/ 3/2 (/ 1 x)) |
(/.f64 x #s(literal 2/3 binary64)) |
3/2 |
#s(literal 3/2 binary64) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(/ (* (* x x) 9/4) (* 3/2 x)) |
(/.f64 x #s(literal 2/3 binary64)) |
(* (* x x) 9/4) |
(*.f64 x (*.f64 x #s(literal 9/4 binary64))) |
(* x x) |
(*.f64 x x) |
x |
9/4 |
#s(literal 9/4 binary64) |
(* 3/2 x) |
(/.f64 x #s(literal 2/3 binary64)) |
3/2 |
#s(literal 3/2 binary64) |
(* x (/ (* x 9/4) (+ (/ x 2/3) (/ y 2)))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64)))) |
x |
(/ (* x 9/4) (+ (/ x 2/3) (/ y 2))) |
(/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64)))) |
(* x 9/4) |
(*.f64 x #s(literal 9/4 binary64)) |
9/4 |
#s(literal 9/4 binary64) |
(+ (/ x 2/3) (/ y 2)) |
(+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64))) |
(/ x 2/3) |
(/.f64 x #s(literal 2/3 binary64)) |
2/3 |
#s(literal 2/3 binary64) |
(/ y 2) |
(/.f64 y #s(literal 2 binary64)) |
y |
2 |
#s(literal 2 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 9/4 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64))))) |
| ✓ | accuracy | 99.9% | (/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.7% | (/.f64 x #s(literal 2/3 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 3/2 binary64) x) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) |
| ✓ | accuracy | 69.6% | (/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (*.f64 #s(literal 3/2 binary64) x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.7% | (/.f64 x #s(literal 2/3 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 y x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) |
| ✓ | accuracy | 93.1% | (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x)))) |
| 250.0ms | 92× | 5 | exit |
| 84.0ms | 164× | 0 | valid |
Compiled 115 to 25 computations (78.3% saved)
ival-div: 54.0ms (32.1% of total)ival-mult: 47.0ms (27.9% of total)...c/correct-round.rkt:119:19: 27.0ms (16% of total)backward-pass: 27.0ms (16% of total)ival-add: 11.0ms (6.5% of total)const: 2.0ms (1.2% of total)| Inputs |
|---|
#<alt (* y (+ -1/2 (/ 3/2 (/ y x))))> |
#<alt (+ -1/2 (/ 3/2 (/ y x)))> |
#<alt (/ 3/2 (/ y x))> |
#<alt (/ y x)> |
#<alt (/ x 2/3)> |
#<alt (/ 3/2 (/ 1 x))> |
#<alt (/ 1 x)> |
#<alt (/ (* (* x x) 9/4) (* 3/2 x))> |
#<alt (* (* x x) 9/4)> |
#<alt (* x x)> |
#<alt (* 3/2 x)> |
#<alt (* x (/ (* x 9/4) (+ (/ x 2/3) (/ y 2))))> |
#<alt (/ (* x 9/4) (+ (/ x 2/3) (/ y 2)))> |
#<alt (* x 9/4)> |
#<alt (+ (/ x 2/3) (/ y 2))> |
| Outputs |
|---|
#<alt (* 3/2 x)> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 3/2 (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (* 3/2 x)> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* 3/2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* 3/2 (/ x y))> |
#<alt (/ (+ (* -1/2 y) (* 3/2 x)) y)> |
#<alt (/ (+ (* -1/2 y) (* 3/2 x)) y)> |
#<alt (/ (+ (* -1/2 y) (* 3/2 x)) y)> |
#<alt -1/2> |
#<alt (- (* 3/2 (/ x y)) 1/2)> |
#<alt (- (* 3/2 (/ x y)) 1/2)> |
#<alt (- (* 3/2 (/ x y)) 1/2)> |
#<alt -1/2> |
#<alt (- (* 3/2 (/ x y)) 1/2)> |
#<alt (- (* 3/2 (/ x y)) 1/2)> |
#<alt (- (* 3/2 (/ x y)) 1/2)> |
#<alt -1/2> |
#<alt (- (* 3/2 (/ x y)) 1/2)> |
#<alt (- (* 3/2 (/ x y)) 1/2)> |
#<alt (- (* 3/2 (/ x y)) 1/2)> |
#<alt (* 3/2 (/ x y))> |
#<alt (* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))> |
#<alt (* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))> |
#<alt (* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (* 3/2 (/ x y))> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (* 9/4 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 3/2 x)> |
#<alt (* 9/2 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (+ (* -27/2 (/ x (pow y 2))) (* 9/2 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* x (- (* 81/2 (/ x (pow y 3))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* x (- (* x (+ (* -243/2 (/ x (pow y 4))) (* 81/2 (/ 1 (pow y 3))))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))> |
#<alt (* 3/2 x)> |
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))> |
#<alt (* x (- (+ 3/2 (* 1/6 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x))))> |
#<alt (* x (- (+ 3/2 (* -1/18 (/ (pow y 3) (pow x 3)))) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))> |
#<alt (* 3/2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/6 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/18 (/ (pow y 3) x)) (* 1/6 (pow y 2))) x)) (* 1/2 y)) x)) 3/2)))> |
#<alt (* 3/2 x)> |
#<alt (+ (* -1/2 y) (* 3/2 x))> |
#<alt (+ (* 3/2 x) (* y (- (* 1/6 (/ y x)) 1/2)))> |
#<alt (+ (* 3/2 x) (* y (- (* y (+ (* -1/18 (/ y (pow x 2))) (* 1/6 (/ 1 x)))) 1/2)))> |
#<alt (* 9/2 (/ (pow x 2) y))> |
#<alt (/ (+ (* -27/2 (/ (pow x 3) y)) (* 9/2 (pow x 2))) y)> |
#<alt (/ (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2))))) y)> |
#<alt (/ (+ (* -243/2 (/ (pow x 5) (pow y 3))) (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2)))))) y)> |
#<alt (* 9/2 (/ (pow x 2) y))> |
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* 27/2 (/ (pow x 3) y))) y))> |
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* 81/2 (/ (pow x 4) y))) y))) y))> |
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* -1 (/ (+ (* -81/2 (pow x 4)) (* 243/2 (/ (pow x 5) y))) y))) y))) y))> |
#<alt (* 9/2 (/ x y))> |
#<alt (* x (+ (* -27/2 (/ x (pow y 2))) (* 9/2 (/ 1 y))))> |
#<alt (* x (+ (* x (- (* 81/2 (/ x (pow y 3))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))> |
#<alt (* x (+ (* x (- (* x (+ (* -243/2 (/ x (pow y 4))) (* 81/2 (/ 1 (pow y 3))))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))> |
#<alt 3/2> |
#<alt (+ 3/2 (* -1/2 (/ y x)))> |
#<alt (- (+ 3/2 (* 1/6 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x)))> |
#<alt (- (+ 3/2 (* -1/18 (/ (pow y 3) (pow x 3)))) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x))))> |
#<alt 3/2> |
#<alt (+ 3/2 (* -1/2 (/ y x)))> |
#<alt (+ 3/2 (* -1 (/ (- (* -1/6 (/ (pow y 2) x)) (* -1/2 y)) x)))> |
#<alt (+ 3/2 (* -1 (/ (- (* -1 (/ (- (* -1/18 (/ (pow y 3) x)) (* -1/6 (pow y 2))) x)) (* -1/2 y)) x)))> |
#<alt 3/2> |
#<alt (+ 3/2 (* -1/2 (/ y x)))> |
#<alt (+ 3/2 (* y (- (* 1/6 (/ y (pow x 2))) (* 1/2 (/ 1 x)))))> |
#<alt (+ 3/2 (* y (- (* y (+ (* -1/18 (/ y (pow x 3))) (* 1/6 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))))> |
#<alt (* 9/2 (/ x y))> |
#<alt (/ (+ (* -27/2 (/ (pow x 2) y)) (* 9/2 x)) y)> |
#<alt (/ (+ (* -27/2 (/ (pow x 2) y)) (+ (* 9/2 x) (* 81/2 (/ (pow x 3) (pow y 2))))) y)> |
#<alt (/ (+ (* -243/2 (/ (pow x 4) (pow y 3))) (+ (* -27/2 (/ (pow x 2) y)) (+ (* 9/2 x) (* 81/2 (/ (pow x 3) (pow y 2)))))) y)> |
#<alt (* 9/2 (/ x y))> |
#<alt (* -1 (/ (+ (* -9/2 x) (* 27/2 (/ (pow x 2) y))) y))> |
#<alt (* -1 (/ (+ (* -9/2 x) (* -1 (/ (+ (* -27/2 (pow x 2)) (* 81/2 (/ (pow x 3) y))) y))) y))> |
#<alt (* -1 (/ (+ (* -9/2 x) (* -1 (/ (+ (* -27/2 (pow x 2)) (* -1 (/ (+ (* -81/2 (pow x 3)) (* 243/2 (/ (pow x 4) y))) y))) y))) y))> |
#<alt (* 9/4 x)> |
#<alt (* 9/4 x)> |
#<alt (* 9/4 x)> |
#<alt (* 9/4 x)> |
#<alt (* 9/4 x)> |
#<alt (* 9/4 x)> |
#<alt (* 9/4 x)> |
#<alt (* 9/4 x)> |
#<alt (* 9/4 x)> |
#<alt (* 9/4 x)> |
#<alt (* 9/4 x)> |
#<alt (* 9/4 x)> |
#<alt (* 1/2 y)> |
#<alt (+ (* 1/2 y) (* 3/2 x))> |
#<alt (+ (* 1/2 y) (* 3/2 x))> |
#<alt (+ (* 1/2 y) (* 3/2 x))> |
#<alt (* 3/2 x)> |
#<alt (* x (+ 3/2 (* 1/2 (/ y x))))> |
#<alt (* x (+ 3/2 (* 1/2 (/ y x))))> |
#<alt (* x (+ 3/2 (* 1/2 (/ y x))))> |
#<alt (* 3/2 x)> |
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 3/2)))> |
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 3/2)))> |
#<alt (* 3/2 x)> |
#<alt (+ (* 1/2 y) (* 3/2 x))> |
#<alt (+ (* 1/2 y) (* 3/2 x))> |
#<alt (+ (* 1/2 y) (* 3/2 x))> |
#<alt (* 1/2 y)> |
#<alt (* y (+ 1/2 (* 3/2 (/ x y))))> |
#<alt (* y (+ 1/2 (* 3/2 (/ x y))))> |
#<alt (* y (+ 1/2 (* 3/2 (/ x y))))> |
#<alt (* 1/2 y)> |
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))> |
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))> |
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/ (* x 9/4) (+ (/ x 2/3) (/ y 2))) |
| 0.0ms | y | @ | 0 | (/ (* x 9/4) (+ (/ x 2/3) (/ y 2))) |
| 0.0ms | y | @ | -inf | (/ y x) |
| 0.0ms | y | @ | -inf | (/ (* x 9/4) (+ (/ x 2/3) (/ y 2))) |
| 0.0ms | y | @ | 0 | (/ y x) |
| 1× | batch-egg-rewrite |
| 4270× | /-lowering-/.f32 |
| 4270× | /-lowering-/.f64 |
| 3384× | *-lowering-*.f32 |
| 3384× | *-lowering-*.f64 |
| 1256× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 77 |
| 1 | 149 | 72 |
| 2 | 1461 | 72 |
| 0 | 8372 | 72 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (+ -1/2 (/ 3/2 (/ y x)))) |
(+ -1/2 (/ 3/2 (/ y x))) |
(/ 3/2 (/ y x)) |
(/ y x) |
(/ x 2/3) |
(/ 3/2 (/ 1 x)) |
(/ 1 x) |
(/ (* (* x x) 9/4) (* 3/2 x)) |
(* (* x x) 9/4) |
(* x x) |
(* 3/2 x) |
(* x (/ (* x 9/4) (+ (/ x 2/3) (/ y 2)))) |
(/ (* x 9/4) (+ (/ x 2/3) (/ y 2))) |
(* x 9/4) |
(+ (/ x 2/3) (/ y 2)) |
| Outputs |
|---|
(+.f64 (/.f64 y (/.f64 (/.f64 y x) #s(literal 3/2 binary64))) (/.f64 y #s(literal -2 binary64))) |
(+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y (/.f64 (/.f64 y x) #s(literal 3/2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 y x)) y))) (/.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (/.f64 x y) y) (*.f64 (/.f64 x y) y))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 y x)) y)))) |
(fma.f64 y #s(literal -1/2 binary64) (/.f64 y (/.f64 (/.f64 y x) #s(literal 3/2 binary64)))) |
(fma.f64 y (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) (/.f64 y #s(literal -2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) y (/.f64 y (/.f64 (/.f64 y x) #s(literal 3/2 binary64)))) |
(fma.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 x y) y) (/.f64 y #s(literal -2 binary64))) |
(fma.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) y (/.f64 y #s(literal -2 binary64))) |
(fma.f64 (/.f64 #s(literal 3/2 binary64) y) (*.f64 x y) (/.f64 y #s(literal -2 binary64))) |
(fma.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 x y) (/.f64 y #s(literal -2 binary64))) |
(fma.f64 (/.f64 y (/.f64 y #s(literal 3/2 binary64))) x (/.f64 y #s(literal -2 binary64))) |
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (/.f64 x y) y) (*.f64 (/.f64 x y) y))) (*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y (/.f64 (/.f64 y x) #s(literal 3/2 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 y x)) y)) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 y x)) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 y x) #s(literal 3/2 binary64)))) (*.f64 y (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/2 binary64) (/.f64 y x))) (*.f64 y (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 x y) y) (*.f64 x #s(literal 9/4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 y x) #s(literal 3/2 binary64)))) (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y)))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/2 binary64) (/.f64 y x))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 x y) y) (*.f64 x #s(literal 9/4 binary64)))) y))) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64))))) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (/.f64 x y) y) (*.f64 (/.f64 x y) y))) (*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y (/.f64 (/.f64 y x) #s(literal 3/2 binary64))))))) |
(/.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 y x)) y))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 y x)) y))) |
(/.f64 (*.f64 y (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 y x) #s(literal 3/2 binary64))))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 x y) y) (*.f64 x #s(literal 9/4 binary64))))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/2 binary64) (/.f64 y x)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y)))) y) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 y x) #s(literal 3/2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 x y) y) (*.f64 x #s(literal 9/4 binary64)))) y) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/2 binary64) (/.f64 y x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)))))) (neg.f64 (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (/.f64 x y) y) (*.f64 (/.f64 x y) y))) (*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y (/.f64 (/.f64 y x) #s(literal 3/2 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 y x)) y)))) (neg.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 y x)) y)))) |
(/.f64 (neg.f64 (*.f64 y (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 y x) #s(literal 3/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 x y) y) (*.f64 x #s(literal 9/4 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/2 binary64) (/.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y)))) y)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 y x) #s(literal 3/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 x y) y) (*.f64 x #s(literal 9/4 binary64)))) y)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/2 binary64) (/.f64 y x))))) |
(/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (/.f64 x y) y) (*.f64 (/.f64 x y) y))) (-.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (/.f64 y (/.f64 (/.f64 y x) #s(literal 3/2 binary64))) (/.f64 y #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (/.f64 x y) y) (*.f64 (/.f64 x y) y))) (/.f64 (*.f64 y y) #s(literal 4 binary64))) (-.f64 (/.f64 y (/.f64 (/.f64 y x) #s(literal 3/2 binary64))) (/.f64 y #s(literal -2 binary64)))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x)))) |
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x))) y) |
(*.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (/.f64 x y) y) (*.f64 (/.f64 x y) y))) (*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y (/.f64 (/.f64 y x) #s(literal 3/2 binary64)))))))) |
(*.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 y x)) y))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 y x)) y)))) |
(*.f64 (*.f64 y (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 y x) #s(literal 3/2 binary64)))))) |
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(*.f64 (+.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) |
(*.f64 (+.f64 (/.f64 x (/.f64 y #s(literal 2 binary64))) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 2/3 binary64) (-.f64 #s(literal 0 binary64) y))) #s(literal -3/4 binary64)) |
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2/3 binary64) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)))) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 2/3 binary64) x)) (/.f64 (*.f64 x y) #s(literal 4/3 binary64))) |
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2/3 binary64) x) (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal -2 binary64)))) |
(*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal -2/3 binary64) y)) #s(literal -3/4 binary64)) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y #s(literal 2 binary64))) #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2/3 binary64) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal -2/3 binary64) (-.f64 #s(literal 0 binary64) y))) #s(literal 3/4 binary64)) |
(*.f64 (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) |
(*.f64 (+.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y #s(literal 2 binary64))))) |
(*.f64 (+.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)))) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 (+.f64 (/.f64 (/.f64 y x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2/3 binary64))))) |
(*.f64 (+.f64 (*.f64 y #s(literal -2/3 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) x))) #s(literal -3/4 binary64)) |
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) y) x))) |
(*.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 2/3 binary64)))) |
(*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) x) (/.f64 #s(literal 2 binary64) y)) (/.f64 (*.f64 x y) #s(literal 4/3 binary64))) |
(*.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -2/3 binary64)))) |
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2/3 binary64)) (*.f64 #s(literal -2 binary64) x)) #s(literal -3/4 binary64)) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x #s(literal 2/3 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2/3 binary64))))) |
(*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2/3 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))) #s(literal 3/4 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 y #s(literal 3/2 binary64)))) #s(literal -3/4 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 4/9 binary64)) (/.f64 (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 x #s(literal -2/3 binary64))) (/.f64 #s(literal 2 binary64) y)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 x x) #s(literal 4/9 binary64)) (/.f64 (*.f64 y y) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal -2 binary64)))))) |
(*.f64 (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 x (*.f64 x #s(literal -9/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 x #s(literal -2/3 binary64))))) |
| 1× | egg-herbie |
| 3178× | *-lowering-*.f32 |
| 3178× | *-lowering-*.f64 |
| 2956× | fma-lowering-fma.f32 |
| 2956× | fma-lowering-fma.f64 |
| 1898× | fmsub-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 252 | 1687 |
| 1 | 765 | 1571 |
| 2 | 2084 | 1545 |
| 3 | 5744 | 1545 |
| 0 | 8492 | 1545 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3/2 x) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* -1/2 y) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1/2 y) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* 3/2 x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* 3/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* 3/2 (/ x y)) |
(/ (+ (* -1/2 y) (* 3/2 x)) y) |
(/ (+ (* -1/2 y) (* 3/2 x)) y) |
(/ (+ (* -1/2 y) (* 3/2 x)) y) |
-1/2 |
(- (* 3/2 (/ x y)) 1/2) |
(- (* 3/2 (/ x y)) 1/2) |
(- (* 3/2 (/ x y)) 1/2) |
-1/2 |
(- (* 3/2 (/ x y)) 1/2) |
(- (* 3/2 (/ x y)) 1/2) |
(- (* 3/2 (/ x y)) 1/2) |
-1/2 |
(- (* 3/2 (/ x y)) 1/2) |
(- (* 3/2 (/ x y)) 1/2) |
(- (* 3/2 (/ x y)) 1/2) |
(* 3/2 (/ x y)) |
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(* 3/2 (/ x y)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y))))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y))))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y))))) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(* 3/2 (/ x y)) |
(/ 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) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(* 9/4 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 3/2 x) |
(* 9/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* -27/2 (/ x (pow y 2))) (* 9/2 (/ 1 y)))) |
(* (pow x 2) (+ (* x (- (* 81/2 (/ x (pow y 3))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y)))) |
(* (pow x 2) (+ (* x (- (* x (+ (* -243/2 (/ x (pow y 4))) (* 81/2 (/ 1 (pow y 3))))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y)))) |
(* 3/2 x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (- (+ 3/2 (* 1/6 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x)))) |
(* x (- (+ 3/2 (* -1/18 (/ (pow y 3) (pow x 3)))) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x))))) |
(* 3/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* -1 (/ (- (* 1/6 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/2))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/18 (/ (pow y 3) x)) (* 1/6 (pow y 2))) x)) (* 1/2 y)) x)) 3/2))) |
(* 3/2 x) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* 3/2 x) (* y (- (* 1/6 (/ y x)) 1/2))) |
(+ (* 3/2 x) (* y (- (* y (+ (* -1/18 (/ y (pow x 2))) (* 1/6 (/ 1 x)))) 1/2))) |
(* 9/2 (/ (pow x 2) y)) |
(/ (+ (* -27/2 (/ (pow x 3) y)) (* 9/2 (pow x 2))) y) |
(/ (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2))))) y) |
(/ (+ (* -243/2 (/ (pow x 5) (pow y 3))) (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2)))))) y) |
(* 9/2 (/ (pow x 2) y)) |
(* -1 (/ (+ (* -9/2 (pow x 2)) (* 27/2 (/ (pow x 3) y))) y)) |
(* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* 81/2 (/ (pow x 4) y))) y))) y)) |
(* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* -1 (/ (+ (* -81/2 (pow x 4)) (* 243/2 (/ (pow x 5) y))) y))) y))) y)) |
(* 9/2 (/ x y)) |
(* x (+ (* -27/2 (/ x (pow y 2))) (* 9/2 (/ 1 y)))) |
(* x (+ (* x (- (* 81/2 (/ x (pow y 3))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -243/2 (/ x (pow y 4))) (* 81/2 (/ 1 (pow y 3))))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y)))) |
3/2 |
(+ 3/2 (* -1/2 (/ y x))) |
(- (+ 3/2 (* 1/6 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x))) |
(- (+ 3/2 (* -1/18 (/ (pow y 3) (pow x 3)))) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) |
3/2 |
(+ 3/2 (* -1/2 (/ y x))) |
(+ 3/2 (* -1 (/ (- (* -1/6 (/ (pow y 2) x)) (* -1/2 y)) x))) |
(+ 3/2 (* -1 (/ (- (* -1 (/ (- (* -1/18 (/ (pow y 3) x)) (* -1/6 (pow y 2))) x)) (* -1/2 y)) x))) |
3/2 |
(+ 3/2 (* -1/2 (/ y x))) |
(+ 3/2 (* y (- (* 1/6 (/ y (pow x 2))) (* 1/2 (/ 1 x))))) |
(+ 3/2 (* y (- (* y (+ (* -1/18 (/ y (pow x 3))) (* 1/6 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))))) |
(* 9/2 (/ x y)) |
(/ (+ (* -27/2 (/ (pow x 2) y)) (* 9/2 x)) y) |
(/ (+ (* -27/2 (/ (pow x 2) y)) (+ (* 9/2 x) (* 81/2 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -243/2 (/ (pow x 4) (pow y 3))) (+ (* -27/2 (/ (pow x 2) y)) (+ (* 9/2 x) (* 81/2 (/ (pow x 3) (pow y 2)))))) y) |
(* 9/2 (/ x y)) |
(* -1 (/ (+ (* -9/2 x) (* 27/2 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -9/2 x) (* -1 (/ (+ (* -27/2 (pow x 2)) (* 81/2 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -9/2 x) (* -1 (/ (+ (* -27/2 (pow x 2)) (* -1 (/ (+ (* -81/2 (pow x 3)) (* 243/2 (/ (pow x 4) y))) y))) y))) y)) |
(* 9/4 x) |
(* 9/4 x) |
(* 9/4 x) |
(* 9/4 x) |
(* 9/4 x) |
(* 9/4 x) |
(* 9/4 x) |
(* 9/4 x) |
(* 9/4 x) |
(* 9/4 x) |
(* 9/4 x) |
(* 9/4 x) |
(* 1/2 y) |
(+ (* 1/2 y) (* 3/2 x)) |
(+ (* 1/2 y) (* 3/2 x)) |
(+ (* 1/2 y) (* 3/2 x)) |
(* 3/2 x) |
(* x (+ 3/2 (* 1/2 (/ y x)))) |
(* x (+ 3/2 (* 1/2 (/ y x)))) |
(* x (+ 3/2 (* 1/2 (/ y x)))) |
(* 3/2 x) |
(* -1 (* x (- (* -1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* -1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* -1/2 (/ y x)) 3/2))) |
(* 3/2 x) |
(+ (* 1/2 y) (* 3/2 x)) |
(+ (* 1/2 y) (* 3/2 x)) |
(+ (* 1/2 y) (* 3/2 x)) |
(* 1/2 y) |
(* y (+ 1/2 (* 3/2 (/ x y)))) |
(* y (+ 1/2 (* 3/2 (/ x y)))) |
(* y (+ 1/2 (* 3/2 (/ x y)))) |
(* 1/2 y) |
(* -1 (* y (- (* -3/2 (/ x y)) 1/2))) |
(* -1 (* y (- (* -3/2 (/ x y)) 1/2))) |
(* -1 (* y (- (* -3/2 (/ x y)) 1/2))) |
| Outputs |
|---|
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 3/2 binary64) x) y))) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 3/2 binary64) x) y))) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 3/2 binary64) x) y))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 3/2 binary64) x) y))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 3/2 binary64) x) y))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 3/2 binary64) x) y))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
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(+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y #s(literal 1/6 binary64)) x))) x)) |
(- (+ 3/2 (* -1/18 (/ (pow y 3) (pow x 3)))) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) |
(+.f64 #s(literal 3/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (*.f64 y (*.f64 (/.f64 (*.f64 y y) x) #s(literal -1/18 binary64)))) x)) x)) |
3/2 |
#s(literal 3/2 binary64) |
(+ 3/2 (* -1/2 (/ y x))) |
(+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)) |
(+ 3/2 (* -1 (/ (- (* -1/6 (/ (pow y 2) x)) (* -1/2 y)) x))) |
(+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y #s(literal 1/6 binary64)) x))) x)) |
(+ 3/2 (* -1 (/ (- (* -1 (/ (- (* -1/18 (/ (pow y 3) x)) (* -1/6 (pow y 2))) x)) (* -1/2 y)) x))) |
(+.f64 #s(literal 3/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (*.f64 y (*.f64 (/.f64 (*.f64 y y) x) #s(literal -1/18 binary64)))) x)) x)) |
3/2 |
#s(literal 3/2 binary64) |
(+ 3/2 (* -1/2 (/ y x))) |
(+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)) |
(+ 3/2 (* y (- (* 1/6 (/ y (pow x 2))) (* 1/2 (/ 1 x))))) |
(+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y #s(literal 1/6 binary64)) x))) x)) |
(+ 3/2 (* y (- (* y (+ (* -1/18 (/ y (pow x 3))) (* 1/6 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))))) |
(+.f64 #s(literal 3/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (*.f64 y (*.f64 (/.f64 (*.f64 y y) x) #s(literal -1/18 binary64)))) x)) x)) |
(* 9/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 9/2 binary64)) y) |
(/ (+ (* -27/2 (/ (pow x 2) y)) (* 9/2 x)) y) |
(/.f64 (+.f64 (*.f64 x (/.f64 (*.f64 x #s(literal -27/2 binary64)) y)) (*.f64 x #s(literal 9/2 binary64))) y) |
(/ (+ (* -27/2 (/ (pow x 2) y)) (+ (* 9/2 x) (* 81/2 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (+.f64 (*.f64 x (/.f64 (*.f64 x #s(literal -27/2 binary64)) y)) (+.f64 (*.f64 x #s(literal 9/2 binary64)) (/.f64 (*.f64 #s(literal 81/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) y)) y))) y) |
(/ (+ (* -243/2 (/ (pow x 4) (pow y 3))) (+ (* -27/2 (/ (pow x 2) y)) (+ (* 9/2 x) (* 81/2 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (+.f64 (+.f64 (*.f64 x #s(literal 9/2 binary64)) (/.f64 (*.f64 #s(literal 81/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) y)) y)) (+.f64 (*.f64 x (/.f64 (*.f64 x #s(literal -27/2 binary64)) y)) (/.f64 (*.f64 #s(literal -243/2 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y (*.f64 y y))))) y) |
(* 9/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 9/2 binary64)) y) |
(* -1 (/ (+ (* -9/2 x) (* 27/2 (/ (pow x 2) y))) y)) |
(/.f64 (+.f64 (*.f64 x (/.f64 (*.f64 x #s(literal -27/2 binary64)) y)) (*.f64 x #s(literal 9/2 binary64))) y) |
(* -1 (/ (+ (* -9/2 x) (* -1 (/ (+ (* -27/2 (pow x 2)) (* 81/2 (/ (pow x 3) y))) y))) y)) |
(/.f64 (-.f64 (*.f64 x #s(literal 9/2 binary64)) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 27/2 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) y) #s(literal -81/2 binary64))) y)) y) |
(* -1 (/ (+ (* -9/2 x) (* -1 (/ (+ (* -27/2 (pow x 2)) (* -1 (/ (+ (* -81/2 (pow x 3)) (* 243/2 (/ (pow x 4) y))) y))) y))) y)) |
(/.f64 (-.f64 (*.f64 x #s(literal 9/2 binary64)) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 27/2 binary64))) (/.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 81/2 binary64))) (/.f64 (*.f64 #s(literal -243/2 binary64) (pow.f64 x #s(literal 4 binary64))) y)) y)) y)) y) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 9/4 x) |
(*.f64 x #s(literal 9/4 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(+ (* 1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64))) |
(+ (* 1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64))) |
(+ (* 1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64))) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* x (+ 3/2 (* 1/2 (/ y x)))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))) |
(* x (+ 3/2 (* 1/2 (/ y x)))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))) |
(* x (+ 3/2 (* 1/2 (/ y x)))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* -1 (* x (- (* -1/2 (/ y x)) 3/2))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))) |
(* -1 (* x (- (* -1/2 (/ y x)) 3/2))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))) |
(* -1 (* x (- (* -1/2 (/ y x)) 3/2))) |
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ (* 1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64))) |
(+ (* 1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64))) |
(+ (* 1/2 y) (* 3/2 x)) |
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64))) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* y (+ 1/2 (* 3/2 (/ x y)))) |
(*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) x) y) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* 3/2 (/ x y)))) |
(*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) x) y) #s(literal 1/2 binary64))) |
(* y (+ 1/2 (* 3/2 (/ x y)))) |
(*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) x) y) #s(literal 1/2 binary64))) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* -1 (* y (- (* -3/2 (/ x y)) 1/2))) |
(*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) x) y) #s(literal 1/2 binary64))) |
(* -1 (* y (- (* -3/2 (/ x y)) 1/2))) |
(*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) x) y) #s(literal 1/2 binary64))) |
(* -1 (* y (- (* -3/2 (/ x y)) 1/2))) |
(*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) x) y) #s(literal 1/2 binary64))) |
Compiled 20219 to 2729 computations (86.5% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1410 | 2 | 1412 |
| Fresh | 0 | 1 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1413 | 9 | 1422 |
| Status | Accuracy | Program |
|---|---|---|
| 24.9% | (/.f64 (/.f64 x (/.f64 #s(literal 2/3 binary64) x)) x) | |
| ✓ | 56.2% | (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) |
| 35.7% | (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal -1/4 binary64)))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) | |
| 47.4% | (/.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64)) | |
| ✓ | 47.3% | (/.f64 x #s(literal 2/3 binary64)) |
| ✓ | 47.4% | (/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 99.9% | (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
| ✓ | 47.5% | (*.f64 #s(literal 3/2 binary64) x) |
| ✓ | 54.2% | (*.f64 #s(literal -1/2 binary64) y) |
Compiled 375 to 156 computations (58.4% saved)
| Inputs |
|---|
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 #s(literal 3/2 binary64) x) |
(/.f64 x #s(literal 2/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x)) |
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64)) |
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
(/.f64 (/.f64 x (/.f64 #s(literal 2/3 binary64) x)) x) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x)))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (*.f64 #s(literal 3/2 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))))) |
(*.f64 x (/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) |
(/.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal -1/4 binary64)))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) |
(*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))) |
(-.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) |
(/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))) |
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64))) |
| Outputs |
|---|
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64))) |
3 calls:
| 8.0ms | y |
| 7.0ms | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 #s(literal 3/2 binary64) x) |
(/.f64 x #s(literal 2/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x)) |
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64)) |
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
(/.f64 (/.f64 x (/.f64 #s(literal 2/3 binary64) x)) x) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x)))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (*.f64 #s(literal 3/2 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))))) |
(*.f64 x (/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) |
(/.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal -1/4 binary64)))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) |
(*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))) |
(-.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) |
(/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))) |
| Outputs |
|---|
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
3 calls:
| 8.0ms | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
| 6.0ms | x |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 #s(literal 3/2 binary64) x) |
(/.f64 x #s(literal 2/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x)) |
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64)) |
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
3 calls:
| 3.0ms | y |
| 3.0ms | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 #s(literal 3/2 binary64) x) |
(/.f64 x #s(literal 2/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x)) |
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64)) |
| Outputs |
|---|
(*.f64 #s(literal 3/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 #s(literal 3/2 binary64) x) |
2 calls:
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.6% | 3 | x |
| 77.5% | 3 | y |
Compiled 6 to 4 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 #s(literal -1/2 binary64) y) |
| Outputs |
|---|
(*.f64 #s(literal -1/2 binary64) y) |
2 calls:
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.2% | 1 | y |
| 54.2% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 7.812051619316976e+73 | 1.7920371636487829e+90 |
| 17.0ms | -1.8791960561566012e+61 | -5.724356247481417e+54 |
| 15.0ms | 277× | 0 | valid |
| 4.0ms | 8× | 2 | valid |
| 2.0ms | 17× | 1 | valid |
| 0.0ms | 2× | 3 | valid |
Compiled 242 to 200 computations (17.4% saved)
ival-div: 3.0ms (39.6% of total)ival-sub: 2.0ms (26.4% of total)ival-add: 2.0ms (26.4% of total)backward-pass: 1.0ms (13.2% of total)const: 0.0ms (0% of total)| 1× | egg-herbie |
| 8× | +-commutative_binary64 |
| 6× | *-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 38 |
| 1 | 31 | 38 |
| 2 | 36 | 38 |
| 3 | 38 | 38 |
| 4 | 39 | 38 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64))) |
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
(if (<=.f64 x #s(literal -47000000000000000617161096727577289417980467208733589504 binary64)) (*.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 12500000000000000385083290387065711347128150500955418293261218008676748161416429568 binary64)) (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))) |
(*.f64 #s(literal -1/2 binary64) y) |
| Outputs |
|---|
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64))) |
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
(if (<=.f64 x #s(literal -47000000000000000617161096727577289417980467208733589504 binary64)) (*.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 12500000000000000385083290387065711347128150500955418293261218008676748161416429568 binary64)) (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))) |
(if (<=.f64 x #s(literal -47000000000000000617161096727577289417980467208733589504 binary64)) (*.f64 x #s(literal 3/2 binary64)) (if (<=.f64 x #s(literal 12500000000000000385083290387065711347128150500955418293261218008676748161416429568 binary64)) (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 3/2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 y #s(literal -1/2 binary64)) |
| 2380× | *-lowering-*.f32 |
| 2380× | *-lowering-*.f64 |
| 1944× | *-lowering-*.f32 |
| 1944× | *-lowering-*.f64 |
| 1924× | fnmadd-define |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 198 |
| 1 | 72 | 198 |
| 2 | 196 | 198 |
| 3 | 440 | 198 |
| 4 | 890 | 198 |
| 5 | 2174 | 198 |
| 6 | 5703 | 198 |
| 0 | 8193 | 198 |
| 0 | 7 | 13 |
| 1 | 32 | 12 |
| 2 | 288 | 12 |
| 3 | 4762 | 12 |
| 0 | 8556 | 12 |
| 0 | 6 | 7 |
| 1 | 12 | 7 |
| 2 | 23 | 7 |
| 3 | 46 | 7 |
| 4 | 92 | 7 |
| 5 | 227 | 7 |
| 6 | 654 | 7 |
| 7 | 1200 | 6 |
| 8 | 2087 | 6 |
| 9 | 2656 | 6 |
| 10 | 2806 | 6 |
| 0 | 2806 | 6 |
| 1× | fuel |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 110 to 73 computations (33.6% saved)
Compiled 120 to 66 computations (45% saved)
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