
Time bar (total: 8.1s)
| 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)| 459.0ms | 7633× | 0 | valid |
| 45.0ms | 147× | 3 | valid |
| 45.0ms | 185× | 2 | valid |
| 28.0ms | 291× | 1 | valid |
ival-sub: 94.0ms (34.6% of total)ival-div: 80.0ms (29.4% of total)ival-add: 71.0ms (26.1% of total)backward-pass: 15.0ms (5.5% of total)const: 12.0ms (4.4% 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)) |
| 50.0ms | 468× | 0 | valid |
| 3.0ms | 12× | 3 | valid |
| 3.0ms | 14× | 2 | valid |
| 2.0ms | 18× | 1 | valid |
Compiled 51 to 20 computations (60.8% saved)
ival-add: 10.0ms (49.5% of total)ival-div: 4.0ms (19.8% of total)ival-sub: 4.0ms (19.8% of total)const: 1.0ms (4.9% of total)backward-pass: 1.0ms (4.9% of total)Compiled 9 to 7 computations (22.2% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 x y) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
| 756× | sum5-define |
| 664× | fnmadd-define |
| 596× | sum4-define |
| 580× | fmsub-define |
| 578× | fnmsub-define |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 1 | 12 | 18 |
| 2 | 23 | 18 |
| 3 | 46 | 18 |
| 4 | 92 | 18 |
| 5 | 227 | 18 |
| 6 | 654 | 18 |
| 7 | 1200 | 17 |
| 8 | 2087 | 17 |
| 9 | 2656 | 17 |
| 10 | 2806 | 17 |
| 0 | 2806 | 17 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ x (/ (- x y) 2)) |
x |
(/ (- x y) 2) |
(- x y) |
y |
2 |
| Outputs |
|---|
(+ x (/ (- x y) 2)) |
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
x |
(/ (- x y) 2) |
(/.f64 (-.f64 x y) #s(literal 2 binary64)) |
(- x y) |
(-.f64 x y) |
y |
2 |
#s(literal 2 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 x y) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 x y) |
| ✓ | accuracy | 99.9% | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
| 24.0ms | 234× | 0 | valid |
| 1.0ms | 6× | 3 | valid |
| 1.0ms | 7× | 2 | valid |
| 1.0ms | 9× | 1 | valid |
Compiled 21 to 7 computations (66.7% saved)
ival-div: 2.0ms (29.4% of total)ival-sub: 2.0ms (29.4% of total)backward-pass: 1.0ms (14.7% of total)ival-add: 1.0ms (14.7% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (/ (- x y) 2))> |
#<alt (/ (- x y) 2)> |
#<alt (- x y)> |
| 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 (+ x (* 1/2 x))> |
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))> |
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))> |
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))> |
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))> |
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt (* 1/2 x)> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (* -1 y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+ x (/ (- x y) 2)) |
| 0.0ms | y | @ | -inf | (+ x (/ (- x y) 2)) |
| 0.0ms | x | @ | -inf | (+ x (/ (- x y) 2)) |
| 0.0ms | y | @ | inf | (+ x (/ (- x y) 2)) |
| 0.0ms | x | @ | 0 | (+ x (/ (- x y) 2)) |
| 1× | batch-egg-rewrite |
| 3066× | *-lowering-*.f32 |
| 3066× | *-lowering-*.f64 |
| 2724× | /-lowering-/.f32 |
| 2724× | /-lowering-/.f64 |
| 2152× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 45 | 14 |
| 2 | 423 | 14 |
| 3 | 5574 | 14 |
| 0 | 8297 | 14 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ (- x y) 2)) |
(/ (- x y) 2) |
(- x y) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
(+.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) |
(+.f64 (/.f64 x #s(literal 2 binary64)) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x))) |
(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) x)) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))) (neg.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))))) |
(+.f64 (+.f64 x (/.f64 x #s(literal 2 binary64))) (/.f64 y #s(literal -2 binary64))) |
(-.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))) |
(-.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 y #s(literal 2 binary64)) x)) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))) (/.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))))) |
(-.f64 (+.f64 x (/.f64 x #s(literal 2 binary64))) (/.f64 y #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))) |
(fma.f64 x #s(literal 1 binary64) (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x))) |
(fma.f64 x (/.f64 x (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))) (neg.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))))) |
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))) (neg.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))))) |
(fma.f64 #s(literal 1 binary64) x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x))) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))))) (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (-.f64 y x) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 1/8 binary64)))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))))) (neg.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))))) |
(neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y))))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y)))) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 x y) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))))) |
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y)))) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y)))) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))))) |
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y)))) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)))) #s(literal 1/64 binary64)))) (*.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))) (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)) (-.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)))) #s(literal 1/64 binary64))) (*.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (-.f64 y x) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 1/8 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)))) #s(literal 1/64 binary64))) (*.f64 (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (+.f64 (*.f64 x x) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y)))))))) |
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) |
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 1/16 binary64))) (*.f64 (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))) (+.f64 (*.f64 x x) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))) (*.f64 (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))))) (*.f64 (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y))))))) |
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(neg.f64 (-.f64 y x)) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x)))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (neg.f64 (*.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x))))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 #s(literal 0 binary64) (+.f64 x y))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 x y) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y)))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 x y) (+.f64 (*.f64 x x) (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x y)) (*.f64 (+.f64 x y) (*.f64 y y))) (*.f64 (+.f64 x y) (+.f64 x y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (+.f64 x y)) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y))) (+.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) y) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 #s(literal 0 binary64) (+.f64 x y))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (+.f64 x y)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x y))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (+.f64 (*.f64 x x) (*.f64 y y))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64)) |
(*.f64 (-.f64 x y) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) #s(literal 1 binary64))) |
(*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (/.f64 (-.f64 x y) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) |
(*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))) |
(*.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 x y))) |
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(*.f64 #s(literal -1 binary64) (-.f64 y x)) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x))))) |
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
| 1× | egg-herbie |
| 1944× | *-lowering-*.f32 |
| 1944× | *-lowering-*.f64 |
| 1368× | fma-define |
| 1288× | sum5-define |
| 1108× | sum4-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 315 |
| 1 | 185 | 315 |
| 2 | 558 | 315 |
| 3 | 1629 | 297 |
| 4 | 4972 | 297 |
| 5 | 7556 | 297 |
| 0 | 8018 | 297 |
| 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))) |
(+ x (* 1/2 x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(* -1/2 y) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1/2 y) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* 1/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* 1/2 x) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(* -1/2 y) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
| 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 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(* x (+ 3/2 (* -1/2 (/ y 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) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(+ x (* 1/2 x)) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(+ x (+ (* -1/2 y) (* 1/2 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 (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(+.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) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(+.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) |
(+ (* -1/2 y) (* 1/2 x)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 y x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 y x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 y x)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 y x)) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 y x)) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 y x)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 y x)) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 y x)) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 y x)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(+ (* -1/2 y) (* 1/2 x)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 y x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 y x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 y x)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 y x)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 y x)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 y x)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 y x)) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 y x)) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 y x)) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
x |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
Compiled 8380 to 1040 computations (87.6% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 356 | 11 | 367 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 356 | 12 | 368 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 48.3% | (/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) |
| 48.3% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)))) | |
| 51.0% | (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) (+.f64 x y))) | |
| ▶ | 87.1% | (+.f64 x (/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)))) |
| ✓ | 99.9% | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
| ▶ | 99.8% | (+.f64 x (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64))) |
| 99.7% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))) | |
| 48.1% | (+.f64 x (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal -1/2 binary64)))) | |
| ▶ | 57.9% | (+.f64 x (*.f64 #s(literal -1/2 binary64) y)) |
| 48.3% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))) (-.f64 (*.f64 x x) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))))) | |
| 52.5% | (*.f64 #s(literal 3/2 binary64) x) | |
| ▶ | 49.3% | (*.f64 #s(literal -1/2 binary64) y) |
Compiled 359 to 208 computations (42.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)) |
| ✓ | cost-diff | 512 | (/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))) |
| ✓ | cost-diff | 512 | (+.f64 x (/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) y) |
| ✓ | cost-diff | 0 | (+.f64 x (*.f64 #s(literal -1/2 binary64) y)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) y) |
| ✓ | cost-diff | 128 | (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
| ✓ | cost-diff | 640 | (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
| ✓ | cost-diff | 640 | (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 640 | (+.f64 x (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64))) |
| 2308× | *-lowering-*.f32 |
| 2308× | *-lowering-*.f64 |
| 1712× | +-lowering-+.f64 |
| 1712× | +-lowering-+.f32 |
| 1544× | sum3-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 224 |
| 1 | 80 | 210 |
| 2 | 221 | 141 |
| 3 | 902 | 137 |
| 4 | 4178 | 135 |
| 0 | 8317 | 135 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ (* (+ x y) (* (- x y) (/ 1 (+ x y)))) 2)) |
x |
(/ (* (+ x y) (* (- x y) (/ 1 (+ x y)))) 2) |
(* (+ x y) (* (- x y) (/ 1 (+ x y)))) |
(+ x y) |
y |
(* (- x y) (/ 1 (+ x y))) |
(- x y) |
(/ 1 (+ x y)) |
1 |
2 |
(* -1/2 y) |
-1/2 |
y |
(+ x (* -1/2 y)) |
x |
(* -1/2 y) |
-1/2 |
y |
(+ x (/ (- (* x (/ 2 y)) 2) (* 2 (/ 2 y)))) |
x |
(/ (- (* x (/ 2 y)) 2) (* 2 (/ 2 y))) |
(- (* x (/ 2 y)) 2) |
(* x (/ 2 y)) |
(/ 2 y) |
2 |
y |
(* 2 (/ 2 y)) |
(/ (- (/ (- x y) (/ 4 (- x y))) (* x x)) (- (/ (- x y) 2) x)) |
(- (/ (- x y) (/ 4 (- x y))) (* x x)) |
(/ (- x y) (/ 4 (- x y))) |
(- x y) |
x |
y |
(/ 4 (- x y)) |
4 |
(* x x) |
(- (/ (- x y) 2) x) |
(/ (- x y) 2) |
2 |
| Outputs |
|---|
(+ x (/ (* (+ x y) (* (- x y) (/ 1 (+ x y)))) 2)) |
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal 3/2 binary64) x)) |
x |
(/ (* (+ x y) (* (- x y) (/ 1 (+ x y)))) 2) |
(/.f64 (-.f64 x y) #s(literal 2 binary64)) |
(* (+ x y) (* (- x y) (/ 1 (+ x y)))) |
(-.f64 x y) |
(+ x y) |
(+.f64 x y) |
y |
(* (- x y) (/ 1 (+ x y))) |
(/.f64 (-.f64 x y) (+.f64 x y)) |
(- x y) |
(-.f64 x y) |
(/ 1 (+ x y)) |
(/.f64 #s(literal 1 binary64) (+.f64 x y)) |
1 |
#s(literal 1 binary64) |
2 |
#s(literal 2 binary64) |
(* -1/2 y) |
(/.f64 y #s(literal -2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
y |
(+ x (* -1/2 y)) |
(-.f64 x (/.f64 y #s(literal 2 binary64))) |
x |
(* -1/2 y) |
(/.f64 y #s(literal -2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
y |
(+ x (/ (- (* x (/ 2 y)) 2) (* 2 (/ 2 y)))) |
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal 3/2 binary64) x)) |
x |
(/ (- (* x (/ 2 y)) 2) (* 2 (/ 2 y))) |
(/.f64 (-.f64 x y) #s(literal 2 binary64)) |
(- (* x (/ 2 y)) 2) |
(+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64)) |
(* x (/ 2 y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
2 |
#s(literal 2 binary64) |
y |
(* 2 (/ 2 y)) |
(/.f64 #s(literal 4 binary64) y) |
(/ (- (/ (- x y) (/ 4 (- x y))) (* x x)) (- (/ (- x y) 2) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) |
(- (/ (- x y) (/ 4 (- x y))) (* x x)) |
(-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) |
(/ (- x y) (/ 4 (- x y))) |
(/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) |
(- x y) |
(-.f64 x y) |
x |
y |
(/ 4 (- x y)) |
(/.f64 #s(literal 4 binary64) (-.f64 x y)) |
4 |
#s(literal 4 binary64) |
(* x x) |
(*.f64 x x) |
(- (/ (- x y) 2) x) |
(-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) |
(/ (- x y) 2) |
(/.f64 (-.f64 x y) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) |
| ✓ | accuracy | 99.8% | (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) |
| ✓ | accuracy | 73.9% | (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) |
| ✓ | accuracy | 50.9% | (/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)) |
| ✓ | accuracy | 99.9% | (+.f64 x (/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)))) |
| ✓ | accuracy | 99.7% | (*.f64 x (/.f64 #s(literal 2 binary64) y)) |
| ✓ | accuracy | 87.4% | (/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 #s(literal -1/2 binary64) y)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/2 binary64) y) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/2 binary64) y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 x y)) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
| ✓ | accuracy | 99.9% | (+.f64 x (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
| 87.0ms | 210× | 0 | valid |
| 14.0ms | 10× | 3 | valid |
| 14.0ms | 16× | 2 | valid |
| 11.0ms | 18× | 1 | valid |
| 6.0ms | 2× | 5 | exit |
Compiled 209 to 29 computations (86.1% saved)
ival-div: 22.0ms (34.9% of total)ival-mult: 21.0ms (33.3% of total)ival-sub: 7.0ms (11.1% of total)ival-add: 7.0ms (11.1% of total)backward-pass: 5.0ms (7.9% of total)const: 1.0ms (1.6% of total)| Inputs |
|---|
#<alt (+ x (/ (* (+ x y) (* (- x y) (/ 1 (+ x y)))) 2))> |
#<alt (/ (* (+ x y) (* (- x y) (/ 1 (+ x y)))) 2)> |
#<alt (* (+ x y) (* (- x y) (/ 1 (+ x y))))> |
#<alt (* (- x y) (/ 1 (+ x y)))> |
#<alt (* -1/2 y)> |
#<alt (+ x (* -1/2 y))> |
#<alt (+ x (/ (- (* x (/ 2 y)) 2) (* 2 (/ 2 y))))> |
#<alt (/ (- (* x (/ 2 y)) 2) (* 2 (/ 2 y)))> |
#<alt (* 2 (/ 2 y))> |
#<alt (- (* x (/ 2 y)) 2)> |
#<alt (/ (- (/ (- x y) (/ 4 (- x y))) (* x x)) (- (/ (- x y) 2) x))> |
#<alt (- (/ (- x y) (/ 4 (- x y))) (* x x))> |
#<alt (/ (- x y) (/ 4 (- x y)))> |
#<alt (- x y)> |
#<alt (/ 1 (+ x y))> |
#<alt (* x (/ 2 y))> |
#<alt (- (/ (- x y) 2) x)> |
| 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 (+ x (* 1/2 x))> |
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))> |
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))> |
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))> |
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))> |
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt (* 1/2 x)> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (* -1 y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt -1> |
#<alt (- (* 2 (/ x y)) 1)> |
#<alt (- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)> |
#<alt (- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)> |
#<alt 1> |
#<alt (- (+ 1 (* -1 (/ y x))) (/ y x))> |
#<alt (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))> |
#<alt (- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))> |
#<alt 1> |
#<alt (- (+ 1 (* -1 (/ y x))) (/ y x))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))> |
#<alt 1> |
#<alt (+ 1 (* -2 (/ y x)))> |
#<alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))> |
#<alt (+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))> |
#<alt -1> |
#<alt (- (/ x y) (+ 1 (* -1 (/ x y))))> |
#<alt (- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))> |
#<alt (- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))> |
#<alt -1> |
#<alt (- (* -1 (/ (- (* -1 x) x) y)) 1)> |
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)> |
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)> |
#<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 (+ x (* -1/2 y))> |
#<alt (+ x (* -1/2 y))> |
#<alt (+ x (* -1/2 y))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/2 (/ y x))))> |
#<alt (* x (+ 1 (* -1/2 (/ y x))))> |
#<alt (* x (+ 1 (* -1/2 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x (* -1/2 y))> |
#<alt (+ x (* -1/2 y))> |
#<alt (+ x (* -1/2 y))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (/ x y) 1/2))> |
#<alt (* y (- (/ x y) 1/2))> |
#<alt (* y (- (/ x y) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ 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 (+ x (* 1/2 x))> |
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))> |
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))> |
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))> |
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))> |
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt (* 1/2 x)> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt -2> |
#<alt (- (* 2 (/ x y)) 2)> |
#<alt (- (* 2 (/ x y)) 2)> |
#<alt (- (* 2 (/ x y)) 2)> |
#<alt (* 2 (/ x y))> |
#<alt (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))> |
#<alt (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))> |
#<alt (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))> |
#<alt (* 2 (/ x y))> |
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))> |
#<alt (* 2 (/ x y))> |
#<alt (/ (+ (* -2 y) (* 2 x)) y)> |
#<alt (/ (+ (* -2 y) (* 2 x)) y)> |
#<alt (/ (+ (* -2 y) (* 2 x)) y)> |
#<alt -2> |
#<alt (- (* 2 (/ x y)) 2)> |
#<alt (- (* 2 (/ x y)) 2)> |
#<alt (- (* 2 (/ x y)) 2)> |
#<alt -2> |
#<alt (- (* 2 (/ x y)) 2)> |
#<alt (- (* 2 (/ x y)) 2)> |
#<alt (- (* 2 (/ x y)) 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 (/ y x)) (* 3/2 (/ y x))))> |
#<alt (* x (- (+ 3/2 (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))) (+ (* 3/2 (/ y x)) (/ (* y (- y (* 3/2 y))) (pow x 2)))))> |
#<alt (* x (- (+ 3/2 (+ (* -1 (/ (* y (- (* -1/2 (pow y 2)) (* y (- y (* 3/2 y))))) (pow x 3))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) (+ (* 3/2 (/ y x)) (/ (* y (- y (* 3/2 y))) (pow x 2)))))> |
#<alt (* 3/2 x)> |
#<alt (* -1 (* x (- (* -1 (/ (- y (* 3/2 y)) x)) 3/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (/ (- (* 1/2 (pow y 2)) (* -1 (* y (- y (* 3/2 y))))) x))) (* 3/2 y)) x)) 3/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (/ (- (+ (* -1 (/ (* y (- (* 1/2 (pow y 2)) (* -1 (* y (- y (* 3/2 y)))))) x)) (* 1/2 (pow y 2))) (* -1 (* y (- y (* 3/2 y))))) x))) (* 3/2 y)) x)) 3/2)))> |
#<alt (/ (- (* 1/4 (pow x 2)) (pow x 2)) (- (* 1/2 x) x))> |
#<alt (- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 x) x))) (* y (- (* -1/2 (/ x (- (* 1/2 x) x))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))))) (/ (pow x 2) (- (* 1/2 x) x)))> |
#<alt (- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 x) x))) (* y (- (+ (* -1/2 (/ x (- (* 1/2 x) x))) (* y (- (* 1/4 (/ 1 (- (* 1/2 x) x))) (* -1/2 (/ (- (* -1/2 (/ x (- (* 1/2 x) x))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))) (- (* 1/2 x) x)))))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))))) (/ (pow x 2) (- (* 1/2 x) x)))> |
#<alt (- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 x) x))) (* y (- (+ (* -1/2 (/ x (- (* 1/2 x) x))) (* y (- (+ (* 1/4 (/ 1 (- (* 1/2 x) x))) (* 1/2 (/ (* y (- (* 1/4 (/ 1 (- (* 1/2 x) x))) (* -1/2 (/ (- (* -1/2 (/ x (- (* 1/2 x) x))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))) (- (* 1/2 x) x))))) (- (* 1/2 x) x)))) (* -1/2 (/ (- (* -1/2 (/ x (- (* 1/2 x) x))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))) (- (* 1/2 x) x)))))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))))) (/ (pow x 2) (- (* 1/2 x) x)))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 2 (/ x y)) (+ 1/2 (* 1/2 (/ x y)))))> |
#<alt (* y (- (+ (* -2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow y 2))) (* 2 (/ x y))) (+ 1/2 (+ (* -2 (/ (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x))) (pow y 2))) (* 1/2 (/ x y))))))> |
#<alt (* y (- (+ (* -2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow y 2))) (+ (* 2 (/ x y)) (* 2 (/ (* (- (* -2 (- (* 1/4 (pow x 2)) (pow x 2))) (* -2 (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x))))) (- (* 1/2 x) x)) (pow y 3))))) (+ 1/2 (+ (* -2 (/ (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x))) (pow y 2))) (* 1/2 (/ x y))))))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- (* 2 x) (* 1/2 x)) y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 2 (- (* 1/4 (pow x 2)) (pow x 2))) (* 2 (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x))))) y)) (* 2 x)) (* 1/2 x)) y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (- (* 1/4 (pow x 2)) (pow x 2))) (* 2 (/ (* (- (* 1/2 x) x) (- (* 2 (- (* 1/4 (pow x 2)) (pow x 2))) (* 2 (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x)))))) y))) (* 2 (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x))))) y)) (* 2 x)) (* 1/2 x)) y)))))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (+ (* -1/2 (* x y)) (* 1/4 (pow y 2)))> |
#<alt (+ (* 1/4 (pow y 2)) (* x (+ (* -3/4 x) (* -1/2 y))))> |
#<alt (+ (* 1/4 (pow y 2)) (* x (+ (* -3/4 x) (* -1/2 y))))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* (pow x 2) (- (* -1/2 (/ y x)) 3/4))> |
#<alt (* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2)))) 3/4))> |
#<alt (* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2)))) 3/4))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* (pow x 2) (- (* -1/2 (/ y x)) 3/4))> |
#<alt (* (pow x 2) (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4))> |
#<alt (* (pow x 2) (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4))> |
#<alt (- (* 1/4 (pow x 2)) (pow x 2))> |
#<alt (- (+ (* -1/2 (* x y)) (* 1/4 (pow x 2))) (pow x 2))> |
#<alt (- (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y)))) (pow x 2))> |
#<alt (- (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y)))) (pow x 2))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))> |
#<alt (* (pow y 2) (- (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))) (/ (pow x 2) (pow y 2))))> |
#<alt (* (pow y 2) (- (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))) (/ (pow x 2) (pow y 2))))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))> |
#<alt (* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) y)) (* 1/2 x)) y))))> |
#<alt (* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) y)) (* 1/2 x)) y))))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (+ (* -1/2 (* x y)) (* 1/4 (pow y 2)))> |
#<alt (+ (* 1/4 (pow y 2)) (* x (+ (* -1/2 y) (* 1/4 x))))> |
#<alt (+ (* 1/4 (pow y 2)) (* x (+ (* -1/2 y) (* 1/4 x))))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/4 (* -1/2 (/ y x))))> |
#<alt (* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2))))))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/4 (* -1/2 (/ y x))))> |
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x))))> |
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x))))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (+ (* -1/2 (* x y)) (* 1/4 (pow x 2)))> |
#<alt (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y))))> |
#<alt (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y))))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))> |
#<alt (* (pow y 2) (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))> |
#<alt (* (pow y 2) (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))> |
#<alt (* 1/4 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))> |
#<alt (* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))> |
#<alt (* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))> |
#<alt (* -1 y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (/ 1 y)> |
#<alt (+ (* -1 (/ x (pow y 2))) (/ 1 y))> |
#<alt (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))> |
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1 (/ y x))) x)> |
#<alt (/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (/ y x) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))> |
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ y (pow x 2))) (/ 1 x))> |
#<alt (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))> |
#<alt (/ 1 y)> |
#<alt (/ (+ 1 (* -1 (/ x y))) y)> |
#<alt (/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)> |
#<alt (/ 1 y)> |
#<alt (* -1 (/ (- (/ x y) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 x) (* -1/2 y))> |
#<alt (+ (* -1/2 x) (* -1/2 y))> |
#<alt (+ (* -1/2 x) (* -1/2 y))> |
#<alt (* -1/2 x)> |
#<alt (* x (- (* -1/2 (/ y x)) 1/2))> |
#<alt (* x (- (* -1/2 (/ y x)) 1/2))> |
#<alt (* x (- (* -1/2 (/ y x)) 1/2))> |
#<alt (* -1/2 x)> |
#<alt (* -1 (* x (+ 1/2 (* 1/2 (/ y x)))))> |
#<alt (* -1 (* x (+ 1/2 (* 1/2 (/ y x)))))> |
#<alt (* -1 (* x (+ 1/2 (* 1/2 (/ y x)))))> |
#<alt (- (* 1/2 x) x)> |
#<alt (- (+ (* -1/2 y) (* 1/2 x)) x)> |
#<alt (- (+ (* -1/2 y) (* 1/2 x)) x)> |
#<alt (- (+ (* -1/2 y) (* 1/2 x)) x)> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y))))> |
#<alt (* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y))))> |
#<alt (* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y))))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y)))))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | -inf | (* (- x y) (/ 1 (+ x y))) |
| 2.0ms | y | @ | 0 | (/ (- x y) (/ 4 (- x y))) |
| 1.0ms | x | @ | -inf | (+ x (/ (- (* x (/ 2 y)) 2) (* 2 (/ 2 y)))) |
| 1.0ms | y | @ | 0 | (/ (- (/ (- x y) (/ 4 (- x y))) (* x x)) (- (/ (- x y) 2) x)) |
| 1.0ms | x | @ | 0 | (/ (- (/ (- x y) (/ 4 (- x y))) (* x x)) (- (/ (- x y) 2) x)) |
| 1× | batch-egg-rewrite |
| 5110× | *-lowering-*.f32 |
| 5110× | *-lowering-*.f64 |
| 3292× | /-lowering-/.f32 |
| 3292× | /-lowering-/.f64 |
| 2612× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 148 |
| 1 | 212 | 97 |
| 2 | 2300 | 92 |
| 0 | 10376 | 92 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ (* (+ x y) (* (- x y) (/ 1 (+ x y)))) 2)) |
(/ (* (+ x y) (* (- x y) (/ 1 (+ x y)))) 2) |
(* (+ x y) (* (- x y) (/ 1 (+ x y)))) |
(* (- x y) (/ 1 (+ x y))) |
(* -1/2 y) |
(+ x (* -1/2 y)) |
(+ x (/ (- (* x (/ 2 y)) 2) (* 2 (/ 2 y)))) |
(/ (- (* x (/ 2 y)) 2) (* 2 (/ 2 y))) |
(* 2 (/ 2 y)) |
(- (* x (/ 2 y)) 2) |
(/ (- (/ (- x y) (/ 4 (- x y))) (* x x)) (- (/ (- x y) 2) x)) |
(- (/ (- x y) (/ 4 (- x y))) (* x x)) |
(/ (- x y) (/ 4 (- x y))) |
(- x y) |
(/ 1 (+ x y)) |
(* x (/ 2 y)) |
(- (/ (- x y) 2) x) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
(+.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) |
(+.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) (-.f64 x y)))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))))) |
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(*.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y))) |
(*.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (+.f64 x y)) |
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (+.f64 x y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y))) |
(pow.f64 (+.f64 x y) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (+.f64 x y))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y)))) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) |
(/.f64 x (/.f64 y #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(/.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 0 binary64) y)) |
(pow.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) y) x) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
(-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) |
(-.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(-.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 y #s(literal 2 binary64)) x)) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)) (+.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))))) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x)))) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 (+.f64 (/.f64 y #s(literal 2 binary64)) x))) |
(fma.f64 (+.f64 x y) (/.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (+.f64 x y) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 #s(literal -1 binary64) x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (/.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x y) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))))) (-.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)))) |
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x))) (neg.f64 (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))))))) |
(pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))))) (-.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))))))) |
| 1× | egg-herbie |
| 3380× | *-lowering-*.f32 |
| 3380× | *-lowering-*.f64 |
| 2374× | +-lowering-+.f64 |
| 2374× | +-lowering-+.f32 |
| 1826× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 506 | 3570 |
| 1 | 1766 | 3134 |
| 2 | 5854 | 3077 |
| 0 | 8207 | 3077 |
| 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))) |
(+ x (* 1/2 x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(* -1/2 y) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1/2 y) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* 1/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* 1/2 x) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(* -1/2 y) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
-1 |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
-1 |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(* -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) |
(+ x (* -1/2 y)) |
(+ x (* -1/2 y)) |
(+ x (* -1/2 y)) |
x |
(* x (+ 1 (* -1/2 (/ y x)))) |
(* x (+ 1 (* -1/2 (/ y x)))) |
(* x (+ 1 (* -1/2 (/ y x)))) |
x |
(* -1 (* x (- (* 1/2 (/ y x)) 1))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1))) |
x |
(+ x (* -1/2 y)) |
(+ x (* -1/2 y)) |
(+ x (* -1/2 y)) |
(* -1/2 y) |
(* y (- (/ x y) 1/2)) |
(* y (- (/ x y) 1/2)) |
(* y (- (/ x y) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ 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))) |
(+ x (* 1/2 x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(* -1/2 y) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1/2 y) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* 1/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* 1/2 x) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(* -1/2 y) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
-2 |
(- (* 2 (/ x y)) 2) |
(- (* 2 (/ x y)) 2) |
(- (* 2 (/ x y)) 2) |
(* 2 (/ x y)) |
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x)))) |
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x)))) |
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x)))) |
(* 2 (/ x y)) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* 2 (/ x y)) |
(/ (+ (* -2 y) (* 2 x)) y) |
(/ (+ (* -2 y) (* 2 x)) y) |
(/ (+ (* -2 y) (* 2 x)) y) |
-2 |
(- (* 2 (/ x y)) 2) |
(- (* 2 (/ x y)) 2) |
(- (* 2 (/ x y)) 2) |
-2 |
(- (* 2 (/ x y)) 2) |
(- (* 2 (/ x y)) 2) |
(- (* 2 (/ x y)) 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 (/ y x)) (* 3/2 (/ y x)))) |
(* x (- (+ 3/2 (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))) (+ (* 3/2 (/ y x)) (/ (* y (- y (* 3/2 y))) (pow x 2))))) |
(* x (- (+ 3/2 (+ (* -1 (/ (* y (- (* -1/2 (pow y 2)) (* y (- y (* 3/2 y))))) (pow x 3))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) (+ (* 3/2 (/ y x)) (/ (* y (- y (* 3/2 y))) (pow x 2))))) |
(* 3/2 x) |
(* -1 (* x (- (* -1 (/ (- y (* 3/2 y)) x)) 3/2))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (/ (- (* 1/2 (pow y 2)) (* -1 (* y (- y (* 3/2 y))))) x))) (* 3/2 y)) x)) 3/2))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (/ (- (+ (* -1 (/ (* y (- (* 1/2 (pow y 2)) (* -1 (* y (- y (* 3/2 y)))))) x)) (* 1/2 (pow y 2))) (* -1 (* y (- y (* 3/2 y))))) x))) (* 3/2 y)) x)) 3/2))) |
(/ (- (* 1/4 (pow x 2)) (pow x 2)) (- (* 1/2 x) x)) |
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 x) x))) (* y (- (* -1/2 (/ x (- (* 1/2 x) x))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))))) (/ (pow x 2) (- (* 1/2 x) x))) |
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 x) x))) (* y (- (+ (* -1/2 (/ x (- (* 1/2 x) x))) (* y (- (* 1/4 (/ 1 (- (* 1/2 x) x))) (* -1/2 (/ (- (* -1/2 (/ x (- (* 1/2 x) x))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))) (- (* 1/2 x) x)))))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))))) (/ (pow x 2) (- (* 1/2 x) x))) |
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 x) x))) (* y (- (+ (* -1/2 (/ x (- (* 1/2 x) x))) (* y (- (+ (* 1/4 (/ 1 (- (* 1/2 x) x))) (* 1/2 (/ (* y (- (* 1/4 (/ 1 (- (* 1/2 x) x))) (* -1/2 (/ (- (* -1/2 (/ x (- (* 1/2 x) x))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))) (- (* 1/2 x) x))))) (- (* 1/2 x) x)))) (* -1/2 (/ (- (* -1/2 (/ x (- (* 1/2 x) x))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))) (- (* 1/2 x) x)))))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))))) (/ (pow x 2) (- (* 1/2 x) x))) |
(* -1/2 y) |
(* y (- (* 2 (/ x y)) (+ 1/2 (* 1/2 (/ x y))))) |
(* y (- (+ (* -2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow y 2))) (* 2 (/ x y))) (+ 1/2 (+ (* -2 (/ (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x))) (pow y 2))) (* 1/2 (/ x y)))))) |
(* y (- (+ (* -2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow y 2))) (+ (* 2 (/ x y)) (* 2 (/ (* (- (* -2 (- (* 1/4 (pow x 2)) (pow x 2))) (* -2 (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x))))) (- (* 1/2 x) x)) (pow y 3))))) (+ 1/2 (+ (* -2 (/ (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x))) (pow y 2))) (* 1/2 (/ x y)))))) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1 (/ (- (* 2 x) (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 2 (- (* 1/4 (pow x 2)) (pow x 2))) (* 2 (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x))))) y)) (* 2 x)) (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (- (* 1/4 (pow x 2)) (pow x 2))) (* 2 (/ (* (- (* 1/2 x) x) (- (* 2 (- (* 1/4 (pow x 2)) (pow x 2))) (* 2 (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x)))))) y))) (* 2 (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x))))) y)) (* 2 x)) (* 1/2 x)) y))))) |
(* 1/4 (pow y 2)) |
(+ (* -1/2 (* x y)) (* 1/4 (pow y 2))) |
(+ (* 1/4 (pow y 2)) (* x (+ (* -3/4 x) (* -1/2 y)))) |
(+ (* 1/4 (pow y 2)) (* x (+ (* -3/4 x) (* -1/2 y)))) |
(* -3/4 (pow x 2)) |
(* (pow x 2) (- (* -1/2 (/ y x)) 3/4)) |
(* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2)))) 3/4)) |
(* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2)))) 3/4)) |
(* -3/4 (pow x 2)) |
(* (pow x 2) (- (* -1/2 (/ y x)) 3/4)) |
(* (pow x 2) (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4)) |
(* (pow x 2) (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4)) |
(- (* 1/4 (pow x 2)) (pow x 2)) |
(- (+ (* -1/2 (* x y)) (* 1/4 (pow x 2))) (pow x 2)) |
(- (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y)))) (pow x 2)) |
(- (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y)))) (pow x 2)) |
(* 1/4 (pow y 2)) |
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y)))) |
(* (pow y 2) (- (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))) (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (- (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))) (/ (pow x 2) (pow y 2)))) |
(* 1/4 (pow y 2)) |
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y)))) |
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) y)) (* 1/2 x)) y)))) |
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) y)) (* 1/2 x)) y)))) |
(* 1/4 (pow y 2)) |
(+ (* -1/2 (* x y)) (* 1/4 (pow y 2))) |
(+ (* 1/4 (pow y 2)) (* x (+ (* -1/2 y) (* 1/4 x)))) |
(+ (* 1/4 (pow y 2)) (* x (+ (* -1/2 y) (* 1/4 x)))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1/2 (/ y x)))) |
(* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2)))))) |
(* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2)))))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1/2 (/ y x)))) |
(* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)))) |
(* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)))) |
(* 1/4 (pow x 2)) |
(+ (* -1/2 (* x y)) (* 1/4 (pow x 2))) |
(+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y)))) |
(+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y)))) |
(* 1/4 (pow y 2)) |
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y)))) |
(* (pow y 2) (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2)))))) |
(* (pow y 2) (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2)))))) |
(* 1/4 (pow y 2)) |
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y)))) |
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y)))) |
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y)))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(/ 1 y) |
(+ (* -1 (/ x (pow y 2))) (/ 1 y)) |
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)) |
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ y x))) x) |
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x) |
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x) |
(/ 1 x) |
(* -1 (/ (- (/ y x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x)) |
(/ 1 x) |
(+ (* -1 (/ y (pow x 2))) (/ 1 x)) |
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/ 1 y) |
(/ (+ 1 (* -1 (/ x y))) y) |
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y) |
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) |
(/ 1 y) |
(* -1 (/ (- (/ x y) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* -1/2 y) |
(+ (* -1/2 x) (* -1/2 y)) |
(+ (* -1/2 x) (* -1/2 y)) |
(+ (* -1/2 x) (* -1/2 y)) |
(* -1/2 x) |
(* x (- (* -1/2 (/ y x)) 1/2)) |
(* x (- (* -1/2 (/ y x)) 1/2)) |
(* x (- (* -1/2 (/ y x)) 1/2)) |
(* -1/2 x) |
(* -1 (* x (+ 1/2 (* 1/2 (/ y x))))) |
(* -1 (* x (+ 1/2 (* 1/2 (/ y x))))) |
(* -1 (* x (+ 1/2 (* 1/2 (/ y x))))) |
(- (* 1/2 x) x) |
(- (+ (* -1/2 y) (* 1/2 x)) x) |
(- (+ (* -1/2 y) (* 1/2 x)) x) |
(- (+ (* -1/2 y) (* 1/2 x)) x) |
(* -1/2 y) |
(* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y)))) |
(* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y)))) |
(* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y)))) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y))))) |
| 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 #s(literal 0 binary64) (*.f64 x (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) x) #s(literal -3/2 binary64)))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) x) #s(literal -3/2 binary64)))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) x) #s(literal -3/2 binary64)))) |
(+ x (* 1/2 x)) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(+ x (+ (* -1/2 y) (* 1/2 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 (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* y (- (+ (* 1/2 (/ x y)) (/ 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 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(*.f64 y (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(*.f64 y (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(*.f64 y (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1/2 y) (* 1/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(+ (* -1/2 y) (* 1/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(+ (* -1/2 y) (* 1/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 0 binary64) x)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(+ (* -1/2 y) (* 1/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(+ (* -1/2 y) (* 1/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (-.f64 #s(literal 0 binary64) y)) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* y (- (/ x y) 1)) |
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) |
(* y (- (/ x y) 1)) |
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) |
(* y (- (/ x y) 1)) |
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ x y)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) y) y) (/.f64 #s(literal 2 binary64) y)))) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -2 binary64) (*.f64 y y))))))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
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(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* y (- (/ x y) 1)) |
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) |
(* y (- (/ x y) 1)) |
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) |
(* y (- (/ x y) 1)) |
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ x (pow y 2))) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))) |
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 y y))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 y y))))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1 (/ y x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y y) x) y) x)) x) |
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 y x) (/.f64 (/.f64 (*.f64 y y) x) x))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ y x) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y y) x) y) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y y)) (-.f64 #s(literal 0 binary64) x)) y) x))) (-.f64 #s(literal 0 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y (pow x 2))) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 x x))) |
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))) |
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 y (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* -1 (/ x y))) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y)) y) |
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) y) y) y)) (-.f64 (/.f64 x y) (/.f64 (*.f64 x x) (*.f64 y y)))) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* -1 (/ (- (/ x y) 1) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (-.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) y) (*.f64 x x)) (-.f64 #s(literal 0 binary64) y)) x) (-.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) y)) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* 2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1/2 x) (* -1/2 y)) |
(*.f64 #s(literal -1/2 binary64) (+.f64 y x)) |
(+ (* -1/2 x) (* -1/2 y)) |
(*.f64 #s(literal -1/2 binary64) (+.f64 y x)) |
(+ (* -1/2 x) (* -1/2 y)) |
(*.f64 #s(literal -1/2 binary64) (+.f64 y x)) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* -1/2 (/ y x)) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* x (- (* -1/2 (/ y x)) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* x (- (* -1/2 (/ y x)) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1 (* x (+ 1/2 (* 1/2 (/ y x))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (+ 1/2 (* 1/2 (/ y x))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (+ 1/2 (* 1/2 (/ y x))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 0 binary64) x)) |
(- (* 1/2 x) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(- (+ (* -1/2 y) (* 1/2 x)) x) |
(*.f64 #s(literal -1/2 binary64) (+.f64 y x)) |
(- (+ (* -1/2 y) (* 1/2 x)) x) |
(*.f64 #s(literal -1/2 binary64) (+.f64 y x)) |
(- (+ (* -1/2 y) (* 1/2 x)) x) |
(*.f64 #s(literal -1/2 binary64) (+.f64 y x)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y)))) |
(*.f64 y (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1/2 binary64))) |
(* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y)))) |
(*.f64 y (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1/2 binary64))) |
(* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y)))) |
(*.f64 y (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1/2 binary64))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (-.f64 #s(literal 0 binary64) y)) |
Compiled 34646 to 3056 computations (91.2% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1284 | 9 | 1293 |
| Fresh | 3 | 3 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1290 | 15 | 1305 |
| Status | Accuracy | Program |
|---|---|---|
| 81.1% | (fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 x (/.f64 #s(literal 4 binary64) y)) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x))) | |
| 46.4% | (/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (*.f64 y (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1/2 binary64)))) | |
| ▶ | 25.4% | (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) x)) |
| 51.0% | (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) (+.f64 x y))) | |
| ▶ | 87.0% | (+.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)))) |
| 87.1% | (+.f64 x (/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) y))) | |
| ✓ | 99.9% | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
| 52.8% | (+.f64 x (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) | |
| ▶ | 99.7% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))) |
| ✓ | 57.9% | (+.f64 x (*.f64 #s(literal -1/2 binary64) y)) |
| 48.3% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x))) | |
| ▶ | 87.0% | (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
| 52.5% | (*.f64 #s(literal 3/2 binary64) x) | |
| ✓ | 49.3% | (*.f64 #s(literal -1/2 binary64) y) |
| ▶ | 11.8% | x |
Compiled 385 to 245 computations (36.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))) |
| ✓ | cost-diff | 128 | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 640 | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))) |
| ✓ | cost-diff | 640 | (+.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 256 | (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) |
| ✓ | cost-diff | 640 | (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) (*.f64 #s(literal -1/2 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)))) |
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (-.f64 x y)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))) |
| ✓ | cost-diff | 128 | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))) |
| 3142× | *-lowering-*.f32 |
| 3142× | *-lowering-*.f64 |
| 1704× | /-lowering-/.f32 |
| 1704× | /-lowering-/.f64 |
| 1668× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 123 |
| 1 | 84 | 118 |
| 2 | 219 | 107 |
| 3 | 656 | 107 |
| 4 | 2856 | 107 |
| 0 | 8342 | 107 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ 1 (/ 2 (- x y)))) |
x |
(/ 1 (/ 2 (- x y))) |
1 |
(/ 2 (- x y)) |
2 |
(- x y) |
y |
x |
(* 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 |
(/ (- (* (* x x) 1/4) (* x x)) (* -1/2 x)) |
(- (* (* x x) 1/4) (* x x)) |
(* (* x x) 1/4) |
(* x x) |
x |
1/4 |
(* -1/2 x) |
-1/2 |
(+ x (/ (- (/ 1 (/ y (* x 2))) 2) (* 2 (/ 2 y)))) |
x |
(/ (- (/ 1 (/ y (* x 2))) 2) (* 2 (/ 2 y))) |
(- (/ 1 (/ y (* x 2))) 2) |
(/ 1 (/ y (* x 2))) |
1 |
(/ y (* x 2)) |
y |
(* x 2) |
2 |
(* 2 (/ 2 y)) |
(/ 2 y) |
| Outputs |
|---|
(+ x (/ 1 (/ 2 (- x y)))) |
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
x |
(/ 1 (/ 2 (- x y))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 y x)) |
1 |
#s(literal 1 binary64) |
(/ 2 (- x y)) |
(/.f64 #s(literal 2 binary64) (-.f64 x y)) |
2 |
#s(literal 2 binary64) |
(- x y) |
(-.f64 x y) |
y |
x |
(* y (+ -1/2 (* 3/2 (/ x y)))) |
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
y |
(+ -1/2 (* 3/2 (/ x y))) |
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal 3/2 binary64)) y)) |
-1/2 |
#s(literal -1/2 binary64) |
(* 3/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 3/2 binary64)) y) |
3/2 |
#s(literal 3/2 binary64) |
(/ x y) |
(/.f64 x y) |
x |
(/ (- (* (* x x) 1/4) (* x x)) (* -1/2 x)) |
(*.f64 x #s(literal 3/2 binary64)) |
(- (* (* x x) 1/4) (* x x)) |
(*.f64 x (*.f64 x #s(literal -3/4 binary64))) |
(* (* x x) 1/4) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
(* x x) |
(*.f64 x x) |
x |
1/4 |
#s(literal 1/4 binary64) |
(* -1/2 x) |
(/.f64 x #s(literal -2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(+ x (/ (- (/ 1 (/ y (* x 2))) 2) (* 2 (/ 2 y)))) |
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
x |
(/ (- (/ 1 (/ y (* x 2))) 2) (* 2 (/ 2 y))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 y x)) |
(- (/ 1 (/ y (* x 2))) 2) |
(+.f64 (/.f64 x (/.f64 y #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/ 1 (/ y (* x 2))) |
(/.f64 x (/.f64 y #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(/ y (* x 2)) |
(/.f64 y (/.f64 x #s(literal 1/2 binary64))) |
y |
(* x 2) |
(/.f64 x #s(literal 1/2 binary64)) |
2 |
#s(literal 2 binary64) |
(* 2 (/ 2 y)) |
(/.f64 #s(literal 4 binary64) y) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)) |
| ✓ | accuracy | 99.9% | (+.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))) |
| ✓ | accuracy | 88.1% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/2 binary64) x) |
| ✓ | accuracy | 76.7% | (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) |
| ✓ | accuracy | 56.7% | (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) (*.f64 #s(literal -1/2 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 | 99.6% | (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) |
| ✓ | accuracy | 88.3% | (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
| ✓ | accuracy | 100.0% | (-.f64 x y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) (-.f64 x y)) |
| ✓ | accuracy | 99.9% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))) |
| 66.0ms | 67× | 1 | valid |
| 42.0ms | 161× | 0 | valid |
| 40.0ms | 17× | 5 | exit |
| 14.0ms | 11× | 3 | valid |
Compiled 164 to 29 computations (82.3% saved)
ival-div: 39.0ms (41.4% of total)ival-mult: 20.0ms (21.3% of total)ival-sub: 18.0ms (19.1% of total)backward-pass: 9.0ms (9.6% of total)ival-add: 7.0ms (7.4% of total)const: 1.0ms (1.1% of total)| Inputs |
|---|
#<alt (+ x (/ 1 (/ 2 (- x y))))> |
#<alt (/ 1 (/ 2 (- x y)))> |
#<alt (/ 2 (- x y))> |
#<alt (- x y)> |
#<alt (* y (+ -1/2 (* 3/2 (/ x y))))> |
#<alt (+ -1/2 (* 3/2 (/ x y)))> |
#<alt (* 3/2 (/ x y))> |
#<alt (/ x y)> |
#<alt (/ (- (* (* x x) 1/4) (* x x)) (* -1/2 x))> |
#<alt (- (* (* x x) 1/4) (* x x))> |
#<alt (* (* x x) 1/4)> |
#<alt (* x x)> |
#<alt (+ x (/ (- (/ 1 (/ y (* x 2))) 2) (* 2 (/ 2 y))))> |
#<alt (/ (- (/ 1 (/ y (* x 2))) 2) (* 2 (/ 2 y)))> |
#<alt (- (/ 1 (/ y (* x 2))) 2)> |
#<alt (/ 1 (/ y (* x 2)))> |
#<alt (* -1/2 x)> |
#<alt (* 2 (/ 2 y))> |
| 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 (+ x (* 1/2 x))> |
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))> |
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))> |
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))> |
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))> |
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt (* 1/2 x)> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (/ -2 y)> |
#<alt (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))> |
#<alt (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))> |
#<alt (- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))> |
#<alt (/ 2 x)> |
#<alt (/ (+ 2 (* 2 (/ y x))) x)> |
#<alt (/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x)> |
#<alt (/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x)> |
#<alt (/ 2 x)> |
#<alt (* -1 (/ (- (* -2 (/ y x)) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x))> |
#<alt (/ 2 x)> |
#<alt (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))> |
#<alt (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))> |
#<alt (+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))> |
#<alt (/ -2 y)> |
#<alt (/ (- (* -2 (/ x y)) 2) y)> |
#<alt (/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y)> |
#<alt (/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) y)> |
#<alt (/ -2 y)> |
#<alt (* -1 (/ (+ 2 (* 2 (/ x y))) y))> |
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* 2 x)) y))) y))> |
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))) y))> |
#<alt (* -1 y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x 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 -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 (* -3/4 (pow x 2))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* 1/4 (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 (+ x (* 1/2 x))> |
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))> |
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))> |
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))> |
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))> |
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))> |
#<alt (* 1/2 x)> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt (* 2 (/ x y))> |
#<alt (/ (+ (* -2 y) (* 2 x)) y)> |
#<alt (/ (+ (* -2 y) (* 2 x)) y)> |
#<alt (/ (+ (* -2 y) (* 2 x)) y)> |
#<alt -2> |
#<alt (- (* 2 (/ x y)) 2)> |
#<alt (- (* 2 (/ x y)) 2)> |
#<alt (- (* 2 (/ x y)) 2)> |
#<alt -2> |
#<alt (- (* 2 (/ x y)) 2)> |
#<alt (- (* 2 (/ x y)) 2)> |
#<alt (- (* 2 (/ x y)) 2)> |
#<alt -2> |
#<alt (- (* 2 (/ x y)) 2)> |
#<alt (- (* 2 (/ x y)) 2)> |
#<alt (- (* 2 (/ x y)) 2)> |
#<alt (* 2 (/ x y))> |
#<alt (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))> |
#<alt (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))> |
#<alt (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))> |
#<alt (* 2 (/ x y))> |
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* 2 (/ x y))> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (/ 1 (/ y (* x 2))) |
| 1.0ms | x | @ | 0 | (/ (- (* (* x x) 1/4) (* x x)) (* -1/2 x)) |
| 1.0ms | x | @ | -inf | (/ 2 (- x y)) |
| 0.0ms | y | @ | -inf | (* y (+ -1/2 (* 3/2 (/ x y)))) |
| 0.0ms | y | @ | 0 | (* y (+ -1/2 (* 3/2 (/ x y)))) |
| 1× | batch-egg-rewrite |
| 3094× | *-lowering-*.f32 |
| 3094× | *-lowering-*.f64 |
| 3068× | /-lowering-/.f32 |
| 3068× | /-lowering-/.f64 |
| 1482× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 98 |
| 1 | 204 | 92 |
| 2 | 1846 | 91 |
| 0 | 8469 | 91 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ 1 (/ 2 (- x y)))) |
(/ 1 (/ 2 (- x y))) |
(/ 2 (- x y)) |
(- x y) |
(* y (+ -1/2 (* 3/2 (/ x y)))) |
(+ -1/2 (* 3/2 (/ x y))) |
(* 3/2 (/ x y)) |
(/ x y) |
(/ (- (* (* x x) 1/4) (* x x)) (* -1/2 x)) |
(- (* (* x x) 1/4) (* x x)) |
(* (* x x) 1/4) |
(* x x) |
(+ x (/ (- (/ 1 (/ y (* x 2))) 2) (* 2 (/ 2 y)))) |
(/ (- (/ 1 (/ y (* x 2))) 2) (* 2 (/ 2 y))) |
(- (/ 1 (/ y (* x 2))) 2) |
(/ 1 (/ y (* x 2))) |
(* -1/2 x) |
(* 2 (/ 2 y)) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
(+.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) |
(-.f64 (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 4 binary64) y)) (-.f64 (/.f64 y #s(literal 2 binary64)) x)) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y))) (+.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))) |
(-.f64 (+.f64 x (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 4 binary64) y))) (/.f64 y #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64))))))) (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))))) #s(literal 8 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y))) #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64))))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))))) |
(pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))) #s(literal -8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) #s(literal -4 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))))))) |
(*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y))))) |
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) y) |
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x #s(literal -2 binary64)))) |
(/.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) y) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y)) |
(pow.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) (/.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y))) |
(*.f64 #s(literal 2 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal 2 binary64)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) y) x) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal -2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 x #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 x #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 4 binary64))) |
(/.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y #s(literal 4 binary64)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (/.f64 y #s(literal 2 binary64)))) |
(/.f64 #s(literal 4 binary64) y) |
(/.f64 #s(literal 4 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) y))) |
(/.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) y)) |
(pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)) |
(*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) |
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)) |
| 1× | egg-herbie |
| 4858× | *-lowering-*.f32 |
| 4858× | *-lowering-*.f64 |
| 1562× | /-lowering-/.f32 |
| 1562× | /-lowering-/.f64 |
| 1372× | fnmsub-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 221 | 2111 |
| 1 | 729 | 1999 |
| 2 | 2083 | 1970 |
| 3 | 7199 | 1967 |
| 0 | 8370 | 1967 |
| 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))) |
(+ x (* 1/2 x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(* -1/2 y) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1/2 y) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* 1/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* 1/2 x) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(* -1/2 y) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(/ -2 y) |
(- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y))) |
(- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ y x))) x) |
(/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x) |
(/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x) |
(/ 2 x) |
(* -1 (/ (- (* -2 (/ y x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x)) |
(/ 2 x) |
(+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))) |
(+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(/ -2 y) |
(/ (- (* -2 (/ x y)) 2) y) |
(/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y) |
(/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) y) |
(/ -2 y) |
(* -1 (/ (+ 2 (* 2 (/ x y))) y)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* 2 x)) y))) y)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))) y)) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x 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))) |
-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) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (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))) |
(+ x (* 1/2 x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(* -1/2 y) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* 1/2 x) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(* -1/2 y) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1/2 y) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* 1/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* 2 (/ x y)) |
(/ (+ (* -2 y) (* 2 x)) y) |
(/ (+ (* -2 y) (* 2 x)) y) |
(/ (+ (* -2 y) (* 2 x)) y) |
-2 |
(- (* 2 (/ x y)) 2) |
(- (* 2 (/ x y)) 2) |
(- (* 2 (/ x y)) 2) |
-2 |
(- (* 2 (/ x y)) 2) |
(- (* 2 (/ x y)) 2) |
(- (* 2 (/ x y)) 2) |
-2 |
(- (* 2 (/ x y)) 2) |
(- (* 2 (/ x y)) 2) |
(- (* 2 (/ x y)) 2) |
(* 2 (/ x y)) |
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x)))) |
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x)))) |
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x)))) |
(* 2 (/ x y)) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
| 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))) |
(+ x (* 1/2 x)) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(+ x (+ (* -1/2 y) (* 1/2 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 (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* y (- (+ (* 1/2 (/ x y)) (/ 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 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 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) (* 1/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(+ (* -1/2 y) (* 1/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(+ (* -1/2 y) (* 1/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(+ (* -1/2 y) (* 1/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(+ (* -1/2 y) (* 1/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) |
(/ -2 y) |
(/.f64 #s(literal -2 binary64) y) |
(- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y))) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) y)) y) |
(- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y)))) y) |
(- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(+.f64 (*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) y)) (*.f64 x x)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) y)) y)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* 2 (/ y x))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) x) |
(/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x)))) x) |
(/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x))))) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(* -1 (/ (- (* -2 (/ y x)) 2) x)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x)))) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal 1 binary64))))) x) (*.f64 y #s(literal 2 binary64))) x)) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) x) |
(+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x)))) x) |
(+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x)))) x)) |
(/ -2 y) |
(/.f64 #s(literal -2 binary64) y) |
(/ (- (* -2 (/ x y)) 2) y) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) y)) y) |
(/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y)))) y) |
(/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) y) |
(/.f64 (+.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y))) (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 y (*.f64 y y))))) y) |
(/ -2 y) |
(/.f64 #s(literal -2 binary64) y) |
(* -1 (/ (+ 2 (* 2 (/ x y))) y)) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) y)) y) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* 2 x)) y))) y)) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y)))) y) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))) y)) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))))) y) (*.f64 x #s(literal -2 binary64))) y)) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* y (- (/ x y) 1)) |
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) |
(* y (- (/ x y) 1)) |
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) |
(* y (- (/ x y) 1)) |
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) |
(* 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))) |
-1/2 |
#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 -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) y) |
(/ (+ (* -1/2 y) (* 3/2 x)) y) |
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) y) |
(/ (+ (* -1/2 y) (* 3/2 x)) y) |
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) 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))) |
-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) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/4 binary64)) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/4 binary64)) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/4 binary64)) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/4 binary64)) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/4 binary64)) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/4 binary64)) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/4 binary64)) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/4 binary64)) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/4 binary64)) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/4 binary64)) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/4 binary64)) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/4 binary64)) |
(* 1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
(* 1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
(* 1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
(* 1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
(* 1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
(* 1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
(* 1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
(* 1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
(* 1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
(* 1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
(* 1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
(* 1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -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))) |
(+ x (* 1/2 x)) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(+ x (+ (* -1/2 y) (* 1/2 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 (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* y (- (+ (* 1/2 (/ x y)) (/ 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 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(+ (* -1/2 y) (* 1/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(+ (* -1/2 y) (* 1/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1/2 y) (* 1/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(+ (* -1/2 y) (* 1/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(+ (* -1/2 y) (* 1/2 x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64))) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(/ (+ (* -2 y) (* 2 x)) y) |
(/.f64 (+.f64 (*.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 2 binary64))) y) |
(/ (+ (* -2 y) (* 2 x)) y) |
(/.f64 (+.f64 (*.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 2 binary64))) y) |
(/ (+ (* -2 y) (* 2 x)) y) |
(/.f64 (+.f64 (*.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 2 binary64))) y) |
-2 |
#s(literal -2 binary64) |
(- (* 2 (/ x y)) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y))) |
(- (* 2 (/ x y)) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y))) |
(- (* 2 (/ x y)) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y))) |
-2 |
#s(literal -2 binary64) |
(- (* 2 (/ x y)) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y))) |
(- (* 2 (/ x y)) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y))) |
(- (* 2 (/ x y)) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y))) |
-2 |
#s(literal -2 binary64) |
(- (* 2 (/ x y)) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y))) |
(- (* 2 (/ x y)) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y))) |
(- (* 2 (/ x y)) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y))) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) x))) |
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) x))) |
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) x))) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) x))) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) x))) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) x))) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* 2 (/ x y)) |
(*.f64 x (/.f64 #s(literal 2 binary64) y)) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
Compiled 23328 to 2316 computations (90.1% saved)
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1226 | 7 | 1233 |
| Fresh | 5 | 2 | 7 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1235 | 13 | 1248 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.1% | (fma.f64 (/.f64 x y) (*.f64 #s(literal 3/2 binary64) y) (*.f64 y #s(literal -1/2 binary64))) |
| 81.1% | (fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 x (/.f64 #s(literal 4 binary64) y)) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x))) | |
| 80.2% | (+.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 3/2 binary64))) y) (*.f64 y #s(literal -1/2 binary64))) | |
| ✓ | 99.9% | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
| ▶ | 52.4% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) |
| ▶ | 87.2% | (+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))) |
| ✓ | 57.9% | (+.f64 x (*.f64 #s(literal -1/2 binary64) y)) |
| ▶ | 27.4% | (*.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) x))) |
| 87.1% | (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x)))) | |
| 39.7% | (*.f64 y (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) | |
| ▶ | 52.5% | (*.f64 #s(literal 3/2 binary64) x) |
| ✓ | 49.3% | (*.f64 #s(literal -1/2 binary64) y) |
| ✓ | 11.8% | x |
Compiled 228 to 159 computations (30.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3/2 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 6528 | (fma.f64 (/.f64 x y) (*.f64 #s(literal 3/2 binary64) y) (*.f64 y #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -2 binary64) x) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 x #s(literal 1/4 binary64)) x) |
| ✓ | cost-diff | 128 | (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) x)) |
| ✓ | cost-diff | 512 | (*.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) x) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
| ✓ | cost-diff | 256 | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3/2 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) |
| ✓ | cost-diff | 128 | (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) |
| ✓ | cost-diff | 256 | (+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))) |
| 3458× | *-lowering-*.f32 |
| 3458× | *-lowering-*.f64 |
| 1838× | /-lowering-/.f32 |
| 1838× | /-lowering-/.f64 |
| 1800× | neg-lowering-neg.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 102 |
| 1 | 66 | 96 |
| 2 | 158 | 94 |
| 3 | 346 | 85 |
| 4 | 730 | 85 |
| 5 | 1522 | 85 |
| 6 | 4491 | 85 |
| 0 | 8157 | 85 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* y (+ -1/2 (* x (/ 1/2 y))))) |
x |
(* y (+ -1/2 (* x (/ 1/2 y)))) |
y |
(+ -1/2 (* x (/ 1/2 y))) |
-1/2 |
(* x (/ 1/2 y)) |
(/ 1/2 y) |
1/2 |
(* 3/2 x) |
3/2 |
x |
(+ x (/ 1 (/ 2 x))) |
x |
(/ 1 (/ 2 x)) |
1 |
(/ 2 x) |
2 |
(* (/ -2 x) (* x (- (* x 1/4) x))) |
(/ -2 x) |
-2 |
x |
(* x (- (* x 1/4) x)) |
(- (* x 1/4) x) |
(* x 1/4) |
1/4 |
(+ (* (/ x y) (* 3/2 y)) (* y -1/2)) |
(/ x y) |
x |
y |
(* 3/2 y) |
3/2 |
(* y -1/2) |
-1/2 |
| Outputs |
|---|
(+ x (* y (+ -1/2 (* x (/ 1/2 y))))) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
x |
(* y (+ -1/2 (* x (/ 1/2 y)))) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x #s(literal 2 binary64))) |
y |
(+ -1/2 (* x (/ 1/2 y))) |
(+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(* x (/ 1/2 y)) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
1/2 |
#s(literal 1/2 binary64) |
(* 3/2 x) |
(*.f64 x #s(literal 3/2 binary64)) |
3/2 |
#s(literal 3/2 binary64) |
x |
(+ x (/ 1 (/ 2 x))) |
(*.f64 x #s(literal 3/2 binary64)) |
x |
(/ 1 (/ 2 x)) |
(/.f64 x #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
2 |
#s(literal 2 binary64) |
(* (/ -2 x) (* x (- (* x 1/4) x))) |
(*.f64 x #s(literal 3/2 binary64)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
-2 |
#s(literal -2 binary64) |
x |
(* x (- (* x 1/4) x)) |
(*.f64 (*.f64 x x) #s(literal -3/4 binary64)) |
(- (* x 1/4) x) |
(*.f64 x #s(literal -3/4 binary64)) |
(* x 1/4) |
(*.f64 x #s(literal 1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
(+ (* (/ x y) (* 3/2 y)) (* y -1/2)) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 3/2 binary64))) |
(/ x y) |
(/.f64 x y) |
x |
y |
(* 3/2 y) |
(*.f64 y #s(literal 3/2 binary64)) |
3/2 |
#s(literal 3/2 binary64) |
(* y -1/2) |
(*.f64 y #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 3/2 binary64) y) |
| ✓ | accuracy | 92.3% | (fma.f64 (/.f64 x y) (*.f64 #s(literal 3/2 binary64) y) (*.f64 y #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 x #s(literal 1/4 binary64)) x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/4 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) x)) |
| ✓ | accuracy | 71.6% | (*.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) x))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 3/2 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) |
| ✓ | accuracy | 99.8% | (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | accuracy | 92.3% | (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) |
| 140.0ms | 95× | 5 | exit |
| 43.0ms | 161× | 0 | valid |
Compiled 120 to 28 computations (76.7% saved)
ival-mult: 36.0ms (31.1% of total)ival-div: 28.0ms (24.2% of total)backward-pass: 23.0ms (19.8% of total)ival-add: 13.0ms (11.2% of total)compiled-spec: 10.0ms (8.6% of total)ival-sub: 4.0ms (3.5% of total)const: 3.0ms (2.6% of total)| Inputs |
|---|
#<alt (+ x (* y (+ -1/2 (* x (/ 1/2 y)))))> |
#<alt (* y (+ -1/2 (* x (/ 1/2 y))))> |
#<alt (+ -1/2 (* x (/ 1/2 y)))> |
#<alt (* x (/ 1/2 y))> |
#<alt (* 3/2 x)> |
#<alt (+ x (/ 1 (/ 2 x)))> |
#<alt (/ 1 (/ 2 x))> |
#<alt (/ 2 x)> |
#<alt (* (/ -2 x) (* x (- (* x 1/4) x)))> |
#<alt (* x (- (* x 1/4) x))> |
#<alt (- (* x 1/4) x)> |
#<alt (/ -2 x)> |
#<alt (+ (* (/ x y) (* 3/2 y)) (* y -1/2))> |
#<alt (/ x y)> |
#<alt (* 3/2 y)> |
#<alt (* y -1/2)> |
#<alt (* x 1/4)> |
| 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 (+ x (* 1/2 x))> |
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))> |
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))> |
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))> |
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))> |
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))> |
#<alt (* 1/2 x)> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* y (- (* 1/2 (/ x y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (+ (* -1/2 y) (* 1/2 x))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))> |
#<alt -1/2> |
#<alt (- (* 1/2 (/ x y)) 1/2)> |
#<alt (- (* 1/2 (/ x y)) 1/2)> |
#<alt (- (* 1/2 (/ x y)) 1/2)> |
#<alt (* 1/2 (/ x y))> |
#<alt (* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))> |
#<alt (* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))> |
#<alt (* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))> |
#<alt (* 1/2 (/ x y))> |
#<alt (/ (+ (* -1/2 y) (* 1/2 x)) y)> |
#<alt (/ (+ (* -1/2 y) (* 1/2 x)) y)> |
#<alt (/ (+ (* -1/2 y) (* 1/2 x)) y)> |
#<alt -1/2> |
#<alt (- (* 1/2 (/ x y)) 1/2)> |
#<alt (- (* 1/2 (/ x y)) 1/2)> |
#<alt (- (* 1/2 (/ x y)) 1/2)> |
#<alt -1/2> |
#<alt (- (* 1/2 (/ x y)) 1/2)> |
#<alt (- (* 1/2 (/ x y)) 1/2)> |
#<alt (- (* 1/2 (/ x y)) 1/2)> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ 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 (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 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 (* -3/4 (pow x 2))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* -3/4 (pow x 2))> |
#<alt (* -3/4 x)> |
#<alt (* -3/4 x)> |
#<alt (* -3/4 x)> |
#<alt (* -3/4 x)> |
#<alt (* -3/4 x)> |
#<alt (* -3/4 x)> |
#<alt (* -3/4 x)> |
#<alt (* -3/4 x)> |
#<alt (* -3/4 x)> |
#<alt (* -3/4 x)> |
#<alt (* -3/4 x)> |
#<alt (* -3/4 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 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 (- (* 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 (/ 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 y)> |
#<alt (* 3/2 y)> |
#<alt (* 3/2 y)> |
#<alt (* 3/2 y)> |
#<alt (* 3/2 y)> |
#<alt (* 3/2 y)> |
#<alt (* 3/2 y)> |
#<alt (* 3/2 y)> |
#<alt (* 3/2 y)> |
#<alt (* 3/2 y)> |
#<alt (* 3/2 y)> |
#<alt (* 3/2 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 (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | (+ (* (/ x y) (* 3/2 y)) (* y -1/2)) |
| 0.0ms | y | @ | -inf | (+ x (* y (+ -1/2 (* x (/ 1/2 y))))) |
| 0.0ms | x | @ | 0 | (* (/ -2 x) (* x (- (* x 1/4) x))) |
| 0.0ms | x | @ | 0 | (+ x (* y (+ -1/2 (* x (/ 1/2 y))))) |
| 0.0ms | y | @ | 0 | (+ x (* y (+ -1/2 (* x (/ 1/2 y))))) |
| 1× | batch-egg-rewrite |
| 3062× | /-lowering-/.f32 |
| 3062× | /-lowering-/.f64 |
| 2980× | *-lowering-*.f32 |
| 2980× | *-lowering-*.f64 |
| 2028× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 89 |
| 1 | 154 | 84 |
| 2 | 1296 | 79 |
| 0 | 8302 | 79 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* y (+ -1/2 (* x (/ 1/2 y))))) |
(* y (+ -1/2 (* x (/ 1/2 y)))) |
(+ -1/2 (* x (/ 1/2 y))) |
(* x (/ 1/2 y)) |
(* 3/2 x) |
(+ x (/ 1 (/ 2 x))) |
(/ 1 (/ 2 x)) |
(/ 2 x) |
(* (/ -2 x) (* x (- (* x 1/4) x))) |
(* x (- (* x 1/4) x)) |
(- (* x 1/4) x) |
(/ -2 x) |
(+ (* (/ x y) (* 3/2 y)) (* y -1/2)) |
(/ x y) |
(* 3/2 y) |
(* y -1/2) |
(* x 1/4) |
| Outputs |
|---|
(+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) |
(+.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) x) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (+.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) x)) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) (neg.f64 (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))) |
(+.f64 (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) x))) |
(fma.f64 y #s(literal -1/2 binary64) (+.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) x)) |
(fma.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) x) |
(fma.f64 #s(literal -1/2 binary64) y (+.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) x)) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) y x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x y) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) x) (-.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) x)))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))) (+.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x y) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))) (neg.f64 (+.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x y) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (*.f64 x x)) (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) (*.f64 (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))) (*.f64 (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) x))) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (pow.f64 (+.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) x) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 (*.f64 (+.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) x) (+.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) x)) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (+.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) x))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (+.f64 x (*.f64 y #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (+.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) x) (+.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) x))) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (+.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) x))) |
(/.f64 (-.f64 (*.f64 (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (+.f64 x (*.f64 y #s(literal -1/2 binary64)))) (*.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) x))))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x y) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) x)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) x))) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 y #s(literal -1/2 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) |
(fma.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) y (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x y) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) y (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1/2 binary64) y) (*.f64 y #s(literal -1/2 binary64))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/8 binary64))) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)) (/.f64 y (*.f64 x (*.f64 y #s(literal 3/2 binary64))))) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64))) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)) (/.f64 y (*.f64 x (*.f64 y #s(literal 3/2 binary64))))))) (neg.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) y) (/.f64 (/.f64 (/.f64 x y) (/.f64 y (*.f64 x (*.f64 y #s(literal 3/2 binary64))))) (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) y) (/.f64 (/.f64 (/.f64 x y) (/.f64 y (*.f64 x (*.f64 y #s(literal 3/2 binary64))))) (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) y) (/.f64 (/.f64 (/.f64 x y) (/.f64 y (*.f64 x (*.f64 y #s(literal 3/2 binary64))))) (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) y) (/.f64 (/.f64 (/.f64 x y) (/.f64 y (*.f64 x (*.f64 y #s(literal 3/2 binary64))))) (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) |
(*.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64)))) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/8 binary64))) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)) (/.f64 y (*.f64 x (*.f64 y #s(literal 3/2 binary64))))) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x))))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/8 binary64))) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)) (*.f64 x (*.f64 y #s(literal 3/2 binary64)))) (*.f64 (*.f64 x (*.f64 y #s(literal 3/2 binary64))) (*.f64 y #s(literal -1/2 binary64)))) y)))) |
(*.f64 (*.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64))) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/8 binary64))) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)) (/.f64 y (*.f64 x (*.f64 y #s(literal 3/2 binary64))))) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64))) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)) (/.f64 y (*.f64 x (*.f64 y #s(literal 3/2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x))))) |
(*.f64 (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64))) y) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 x (-.f64 #s(literal 0 binary64) y))) |
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y))) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 y #s(literal 3/2 binary64)) |
(*.f64 #s(literal 3/2 binary64) y) |
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3/2 binary64))) |
(*.f64 (*.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64)) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 x #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) x) |
| 1× | egg-herbie |
| 2008× | *-lowering-*.f32 |
| 2008× | *-lowering-*.f64 |
| 1974× | sum3-define |
| 1200× | fma-define |
| 1090× | /-lowering-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 1116 |
| 1 | 213 | 1104 |
| 2 | 601 | 1104 |
| 3 | 1516 | 1104 |
| 4 | 4759 | 1086 |
| 5 | 7904 | 1086 |
| 0 | 8637 | 1086 |
| 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))) |
(+ x (* 1/2 x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(* -1/2 y) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* 1/2 x) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(* -1/2 y) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1/2 y) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* 1/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
-1/2 |
(- (* 1/2 (/ x y)) 1/2) |
(- (* 1/2 (/ x y)) 1/2) |
(- (* 1/2 (/ x y)) 1/2) |
(* 1/2 (/ x y)) |
(* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))) |
(* 1/2 (/ x y)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
(* 1/2 (/ x y)) |
(/ (+ (* -1/2 y) (* 1/2 x)) y) |
(/ (+ (* -1/2 y) (* 1/2 x)) y) |
(/ (+ (* -1/2 y) (* 1/2 x)) y) |
-1/2 |
(- (* 1/2 (/ x y)) 1/2) |
(- (* 1/2 (/ x y)) 1/2) |
(- (* 1/2 (/ x y)) 1/2) |
-1/2 |
(- (* 1/2 (/ x y)) 1/2) |
(- (* 1/2 (/ x y)) 1/2) |
(- (* 1/2 (/ x y)) 1/2) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ 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) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 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) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 x) |
(* -3/4 x) |
(* -3/4 x) |
(* -3/4 x) |
(* -3/4 x) |
(* -3/4 x) |
(* -3/4 x) |
(* -3/4 x) |
(* -3/4 x) |
(* -3/4 x) |
(* -3/4 x) |
(* -3/4 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 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 (- (* 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))))) |
(/ 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 y) |
(* 3/2 y) |
(* 3/2 y) |
(* 3/2 y) |
(* 3/2 y) |
(* 3/2 y) |
(* 3/2 y) |
(* 3/2 y) |
(* 3/2 y) |
(* 3/2 y) |
(* 3/2 y) |
(* 3/2 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) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 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 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(* x (+ 3/2 (* -1/2 (/ y 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) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(+ x (* 1/2 x)) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
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(*.f64 y #s(literal 3/2 binary64)) |
(* 3/2 y) |
(*.f64 y #s(literal 3/2 binary64)) |
(* 3/2 y) |
(*.f64 y #s(literal 3/2 binary64)) |
(* 3/2 y) |
(*.f64 y #s(literal 3/2 binary64)) |
(* 3/2 y) |
(*.f64 y #s(literal 3/2 binary64)) |
(* -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) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
Compiled 13118 to 1358 computations (89.6% saved)
12 alts after pruning (5 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 753 | 2 | 755 |
| Fresh | 1 | 3 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 756 | 12 | 768 |
| Status | Accuracy | Program |
|---|---|---|
| 99.9% | (fma.f64 x (/.f64 (*.f64 y #s(literal 3/2 binary64)) y) (*.f64 y #s(literal -1/2 binary64))) | |
| 80.2% | (+.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 3/2 binary64))) y) (*.f64 y #s(literal -1/2 binary64))) | |
| ✓ | 99.9% | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
| ✓ | 52.4% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) |
| ✓ | 87.2% | (+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))) |
| ✓ | 57.9% | (+.f64 x (*.f64 #s(literal -1/2 binary64) y)) |
| 27.4% | (*.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x (*.f64 x #s(literal -3/4 binary64)))) | |
| 87.1% | (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x)))) | |
| 39.7% | (*.f64 y (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) | |
| ✓ | 52.5% | (*.f64 #s(literal 3/2 binary64) x) |
| ✓ | 49.3% | (*.f64 #s(literal -1/2 binary64) y) |
| ✓ | 11.8% | x |
Compiled 483 to 193 computations (60% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 #s(literal 3/2 binary64) x) |
(+.f64 x (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 y (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) |
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
(*.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 #s(literal -2 binary64) x) (*.f64 x (*.f64 x #s(literal -3/4 binary64)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) x))) |
(+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))) |
(+.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 3/2 binary64))) y) (*.f64 y #s(literal -1/2 binary64))) |
(+.f64 x (/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) x)) |
(+.f64 x (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) |
(+.f64 x (/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)))) |
(+.f64 x (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64))) |
(+.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)))) |
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) (+.f64 x y))) |
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))) (-.f64 (*.f64 x x) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)))) |
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (*.f64 y (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1/2 binary64)))) |
(fma.f64 x (/.f64 (*.f64 y #s(literal 3/2 binary64)) y) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 x y) (*.f64 #s(literal 3/2 binary64) y) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 x (/.f64 #s(literal 4 binary64) y)) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x))) |
(+.f64 x (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal -1/2 binary64)))) |
| Outputs |
|---|
(fma.f64 x (/.f64 (*.f64 y #s(literal 3/2 binary64)) y) (*.f64 y #s(literal -1/2 binary64))) |
3 calls:
| 19.0ms | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
| 10.0ms | x |
| 9.0ms | 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 |
|---|
x |
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 #s(literal 3/2 binary64) x) |
(+.f64 x (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 y (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) |
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
(*.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 #s(literal -2 binary64) x) (*.f64 x (*.f64 x #s(literal -3/4 binary64)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) x))) |
(+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))) |
(+.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 3/2 binary64))) y) (*.f64 y #s(literal -1/2 binary64))) |
(+.f64 x (/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) x)) |
(+.f64 x (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) |
(+.f64 x (/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)))) |
(+.f64 x (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64))) |
(+.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)))) |
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) (+.f64 x y))) |
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))) (-.f64 (*.f64 x x) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)))) |
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (*.f64 y (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
3 calls:
| 9.0ms | y |
| 8.0ms | (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
| 8.0ms | 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 |
|---|
x |
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 #s(literal 3/2 binary64) x) |
(+.f64 x (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 y (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) |
| Outputs |
|---|
(+.f64 x (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal 3/2 binary64) x) |
(+.f64 x (*.f64 #s(literal -1/2 binary64) y)) |
2 calls:
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 3 | x |
| 81.6% | 3 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 #s(literal 3/2 binary64) x) |
| Outputs |
|---|
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 #s(literal 3/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) y) |
2 calls:
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.9% | 3 | x |
| 80.2% | 3 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/2 binary64) y) |
| Outputs |
|---|
x |
(*.f64 #s(literal -1/2 binary64) y) |
2 calls:
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.1% | 2 | x |
| 52.4% | 3 | y |
Compiled 6 to 4 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
2 calls:
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.8% | 1 | y |
| 11.8% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.7203558733680584e+52 | 3.354976316003921e+53 |
| 16.0ms | -1.3088063108905112e+38 | -3.6211100586841377e+27 |
| 11.0ms | 244× | 0 | valid |
| 2.0ms | 15× | 2 | valid |
| 1.0ms | 13× | 1 | valid |
Compiled 252 to 197 computations (21.8% saved)
ival-div: 2.0ms (29% of total)ival-add: 2.0ms (29% of total)ival-sub: 2.0ms (29% of total)backward-pass: 1.0ms (14.5% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 1.7203558733680584e+52 | 3.354976316003921e+53 |
| 15.0ms | -1.3088063108905112e+38 | -3.6211100586841377e+27 |
| 14.0ms | 257× | 0 | valid |
| 1.0ms | 7× | 2 | valid |
| 1.0ms | 8× | 1 | valid |
Compiled 218 to 180 computations (17.4% saved)
ival-div: 2.0ms (32.4% of total)ival-sub: 2.0ms (32.4% of total)ival-add: 1.0ms (16.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | -8.80941971864045e+169 | -5.4389248909642515e+163 |
| 7.0ms | 119× | 0 | valid |
| 2.0ms | 9× | 3 | valid |
| 1.0ms | 10× | 1 | valid |
| 1.0ms | 6× | 2 | valid |
Compiled 104 to 82 computations (21.2% saved)
ival-sub: 3.0ms (51.3% of total)ival-div: 1.0ms (17.1% of total)backward-pass: 1.0ms (17.1% of total)ival-add: 1.0ms (17.1% of total)const: 0.0ms (0% of total)| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 4× | if-if-or-not_binary32 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 58 |
| 1 | 43 | 58 |
| 2 | 48 | 58 |
| 3 | 50 | 58 |
| 4 | 51 | 58 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x (/.f64 (*.f64 y #s(literal 3/2 binary64)) y) (*.f64 y #s(literal -1/2 binary64))) |
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
(if (<=.f64 y #s(literal -6199999999999999879315674985752690688 binary64)) (+.f64 x (*.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 23999999999999999837302768184679071435081002606657536 binary64)) (*.f64 #s(literal 3/2 binary64) x) (+.f64 x (*.f64 #s(literal -1/2 binary64) y)))) |
(if (<=.f64 y #s(literal -1549999999999999876009931309056 binary64)) (*.f64 #s(literal -1/2 binary64) y) (if (<=.f64 y #s(literal 39999999999999999728837946974465119058468337677762560 binary64)) (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))) |
(if (<=.f64 x #s(literal -2149999999999999899699463675768011245268521084718481913388157757312785695790277354025751324060903088923323474160925032703759225581675256423531719573951047610218080894976 binary64)) x (*.f64 #s(literal -1/2 binary64) y)) |
x |
| Outputs |
|---|
(fma.f64 x (/.f64 (*.f64 y #s(literal 3/2 binary64)) y) (*.f64 y #s(literal -1/2 binary64))) |
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) |
(if (<=.f64 y #s(literal -6199999999999999879315674985752690688 binary64)) (+.f64 x (*.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 23999999999999999837302768184679071435081002606657536 binary64)) (*.f64 #s(literal 3/2 binary64) x) (+.f64 x (*.f64 #s(literal -1/2 binary64) y)))) |
(if (<=.f64 y #s(literal -6199999999999999879315674985752690688 binary64)) (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 23999999999999999837302768184679071435081002606657536 binary64)) (*.f64 x #s(literal 3/2 binary64)) (+.f64 x (*.f64 y #s(literal -1/2 binary64))))) |
(if (<=.f64 y #s(literal -1549999999999999876009931309056 binary64)) (*.f64 #s(literal -1/2 binary64) y) (if (<=.f64 y #s(literal 39999999999999999728837946974465119058468337677762560 binary64)) (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))) |
(if (<=.f64 y #s(literal -1549999999999999876009931309056 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 39999999999999999728837946974465119058468337677762560 binary64)) (*.f64 x #s(literal 3/2 binary64)) (*.f64 y #s(literal -1/2 binary64)))) |
(if (<=.f64 x #s(literal -2149999999999999899699463675768011245268521084718481913388157757312785695790277354025751324060903088923323474160925032703759225581675256423531719573951047610218080894976 binary64)) x (*.f64 #s(literal -1/2 binary64) y)) |
(if (<=.f64 x #s(literal -2149999999999999899699463675768011245268521084718481913388157757312785695790277354025751324060903088923323474160925032703759225581675256423531719573951047610218080894976 binary64)) x (*.f64 y #s(literal -1/2 binary64))) |
x |
| 3380× | *-lowering-*.f32 |
| 3380× | *-lowering-*.f64 |
| 3094× | *-lowering-*.f32 |
| 3094× | *-lowering-*.f64 |
| 3068× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 98 |
| 1 | 204 | 92 |
| 2 | 1846 | 91 |
| 0 | 8469 | 91 |
| 0 | 506 | 3570 |
| 1 | 1766 | 3134 |
| 2 | 5854 | 3077 |
| 0 | 8207 | 3077 |
| 0 | 6 | 15 |
| 1 | 45 | 14 |
| 2 | 423 | 14 |
| 3 | 5574 | 14 |
| 0 | 8297 | 14 |
| 0 | 58 | 315 |
| 1 | 185 | 315 |
| 2 | 558 | 315 |
| 3 | 1629 | 297 |
| 4 | 4972 | 297 |
| 5 | 7556 | 297 |
| 0 | 8018 | 297 |
| 0 | 28 | 89 |
| 1 | 154 | 84 |
| 2 | 1296 | 79 |
| 0 | 8302 | 79 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 158 to 93 computations (41.1% saved)
Compiled 168 to 84 computations (50% saved)
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