
Time bar (total: 9.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 4 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 5 |
| 62.5% | 62.4% | 37.5% | 0.1% | 0% | 0% | 0% | 6 |
| 71.9% | 71.8% | 28.1% | 0.1% | 0% | 0% | 0% | 7 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 8 |
| 83.6% | 83.5% | 16.4% | 0.1% | 0% | 0% | 0% | 9 |
| 87.1% | 87% | 12.9% | 0.1% | 0% | 0% | 0% | 10 |
| 91.2% | 91.1% | 8.8% | 0.1% | 0% | 0% | 0% | 11 |
| 93.3% | 93.2% | 6.7% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 19 to 11 computations (42.1% saved)
| 859.0ms | 8 256× | 0 | valid |
ival-mult: 426.0ms (70.2% of total)ival-add: 109.0ms (18% of total)ival-div: 58.0ms (9.6% of total)ival-true: 6.0ms (1% of total)exact: 5.0ms (0.8% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 79 | 0 | - | 1 | (1.134259655927317e-238 3.3650009771809383e-80) | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 x y) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 x y) (+.f64 x y)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | o/o | 35 | 0 |
| ↳ | (*.f64 x y) | overflow | 35 | |
| ↳ | (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) | overflow | 144 | |
| ↳ | (*.f64 (+.f64 x y) (+.f64 x y)) | overflow | 109 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | n/o | 19 | 0 |
| ↳ | (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) | overflow | 144 | |
| ↳ | (*.f64 (+.f64 x y) (+.f64 x y)) | overflow | 109 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | u/n | 15 | 0 |
| ↳ | (*.f64 x y) | underflow | 24 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | u/u | 9 | 0 |
| ↳ | (*.f64 x y) | underflow | 24 | |
| ↳ | (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) | underflow | 9 | |
| ↳ | (*.f64 (+.f64 x y) (+.f64 x y)) | underflow | 9 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 78 | 1 |
| - | 0 | 177 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 78 | 0 | 1 |
| - | 0 | 0 | 177 |
| number | freq |
|---|---|
| 0 | 178 |
| 1 | 78 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 43.0ms | 512× | 0 | valid |
Compiled 123 to 31 computations (74.8% saved)
ival-mult: 9.0ms (41.7% of total)ival-add: 8.0ms (37.1% of total)ival-div: 3.0ms (13.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 97 |
| 1 | 129 | 87 |
| 2 | 716 | 85 |
| 3 | 4224 | 85 |
| 0 | 9 | 17 |
| 0 | 15 | 17 |
| 1 | 44 | 17 |
| 2 | 168 | 17 |
| 3 | 544 | 17 |
| 4 | 2286 | 17 |
| 5 | 3087 | 17 |
| 6 | 3462 | 17 |
| 7 | 3548 | 17 |
| 8 | 3577 | 17 |
| 9 | 3617 | 17 |
| 10 | 7692 | 17 |
| 11 | 7814 | 17 |
| 12 | 7833 | 17 |
| 13 | 7834 | 17 |
| 14 | 7834 | 17 |
| 15 | 7849 | 17 |
| 16 | 7849 | 17 |
| 17 | 7849 | 17 |
| 0 | 9415 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y x) (fma.f64 (+.f64 y x) (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) |
(sort x y)
Compiled 17 to 9 computations (47.1% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.4% | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
Compiled 17 to 9 computations (47.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (+.f64 x y) (+.f64 x y)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| cost-diff | 1 | (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 51 |
| 0 | 15 | 51 |
| 1 | 44 | 51 |
| 2 | 168 | 51 |
| 3 | 544 | 51 |
| 4 | 2286 | 51 |
| 5 | 3087 | 51 |
| 6 | 3462 | 51 |
| 7 | 3548 | 51 |
| 8 | 3577 | 51 |
| 9 | 3617 | 51 |
| 10 | 7692 | 51 |
| 11 | 7814 | 51 |
| 12 | 7833 | 51 |
| 13 | 7834 | 51 |
| 14 | 7834 | 51 |
| 15 | 7849 | 51 |
| 16 | 7849 | 51 |
| 17 | 7849 | 51 |
| 0 | 9415 | 49 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 x y) |
x |
y |
(*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
(*.f64 (+.f64 x y) (+.f64 x y)) |
(+.f64 x y) |
(+.f64 (+.f64 x y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y x) (fma.f64 (+.f64 y x) (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
(fma.f64 (+.f64 y x) (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) |
(*.f64 (+.f64 x y) (+.f64 x y)) |
(*.f64 (+.f64 y x) (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
(+.f64 (+.f64 x y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.015625 | (*.f64 (+.f64 x y) (+.f64 x y)) | |
| accuracy | 0.0625 | (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) | |
| accuracy | 18.753587654087216 | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 23.0ms | 256× | 0 | valid |
Compiled 53 to 11 computations (79.2% saved)
ival-mult: 5.0ms (55.3% of total)ival-div: 2.0ms (22.1% of total)ival-add: 2.0ms (22.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 x y) |
(*.f64 (+.f64 x y) (+.f64 x y)) |
| Outputs |
|---|
(* (pow y 2) (+ 1 y)) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (pow y 2))) (* (pow y 2) (+ 1 y))) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (+ (* x (+ 1 (+ y (* 2 y)))) (pow y 2)))) (* (pow y 2) (+ 1 y))) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (+ (* x (+ 1 (+ x (+ y (* 2 y))))) (pow y 2)))) (* (pow y 2) (+ 1 y))) |
(/ x (* y (+ 1 y))) |
(* x (+ (* -1 (* x (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(* x (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(* x (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1 (+ y (* 2 y))) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))) (+ (* 2 (* y (+ 1 y))) (pow y 2))) (* (pow y 2) (+ 1 y)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(* x y) |
(pow y 2) |
(+ (* 2 (* x y)) (pow y 2)) |
(+ (* x (+ x (* 2 y))) (pow y 2)) |
(pow x 3) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (/ 1 x) (/ y x))))) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (* 2 (/ (* y (+ 1 y)) (pow x 2))) (+ (/ 1 x) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (* 2 (/ (* y (+ 1 y)) (pow x 2))) (+ (/ 1 x) (+ (/ y x) (+ (/ (* (pow y 2) (+ 1 y)) (pow x 3)) (/ (pow y 2) (pow x 2))))))))) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))) (pow x 2)))) (/ (* y (+ 1 (+ y (* 2 y)))) x)) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (* (+ 1 (+ y (* 2 y))) (+ (* 2 (* y (+ 1 y))) (pow y 2))))) (+ (* -1 (* (+ 1 (+ y (* 2 y))) (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))))) (* (pow y 3) (+ 1 y)))) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ 1 (+ y (* 2 y))) 2)) (pow x 2))) (+ (/ (* y (+ 1 (+ y (* 2 y)))) x) (/ (* y (+ (* 2 (* y (+ 1 y))) (pow y 2))) (pow x 2))))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (* 2 y))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))) x)) (* 2 y)))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (+ (* -1 (/ (* (pow y 2) (+ 1 y)) x)) (* -1 (pow y 2)))) x)) (* 2 y)))) x)) 1))) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(* (pow x 2) (+ 1 x)) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x))) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (+ (* y (+ 1 (+ x (* 2 x)))) (pow x 2)))) (* (pow x 2) (+ 1 x))) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (+ (* y (+ 1 (+ x (+ y (* 2 x))))) (pow x 2)))) (* (pow x 2) (+ 1 x))) |
(/ y (* x (+ 1 x))) |
(* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (+ x (* 2 x))) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))) (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(+ (* 2 (* x y)) (pow x 2)) |
(+ (* y (+ y (* 2 x))) (pow x 2)) |
(pow y 3) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (/ 1 y) (/ x y))))) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (* 2 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 y) (+ (/ x y) (/ (pow x 2) (pow y 2)))))))) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (* 2 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 y) (+ (/ x y) (+ (/ (* (pow x 2) (+ 1 x)) (pow y 3)) (/ (pow x 2) (pow y 2))))))))) |
(/ x (pow y 2)) |
(/ (+ x (* -1 (/ (* x (+ 1 (+ x (* 2 x)))) y))) (pow y 2)) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (pow (+ 1 (+ x (* 2 x))) 2))) (* x (+ (* 2 (* x (+ 1 x))) (pow x 2)))) (pow y 2)))) (/ (* x (+ 1 (+ x (* 2 x)))) y)) (pow y 2)) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (* (+ 1 (+ x (* 2 x))) (+ (* 2 (* x (+ 1 x))) (pow x 2))))) (+ (* -1 (* (+ 1 (+ x (* 2 x))) (+ (* -1 (* x (pow (+ 1 (+ x (* 2 x))) 2))) (* x (+ (* 2 (* x (+ 1 x))) (pow x 2)))))) (* (pow x 3) (+ 1 x)))) (pow y 3)))) (+ (* -1 (/ (* x (pow (+ 1 (+ x (* 2 x))) 2)) (pow y 2))) (+ (/ (* x (+ 1 (+ x (* 2 x)))) y) (/ (* x (+ (* 2 (* x (+ 1 x))) (pow x 2))) (pow y 2))))) (pow y 2)) |
(* (pow y 2) (+ 1 (* 2 (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (* 2 x))) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (+ (* -1 (/ (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))) y)) (* 2 x)))) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (+ (* -1 (/ (+ (* -2 (* x (+ 1 x))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (pow x 2)))) y)) (* 2 x)))) y)) 1))) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* x (* (+ 1 (+ x (* 2 x))) (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))))) (+ (* (+ 1 (+ x (* 2 x))) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) (* (pow x 3) (+ 1 x)))) y)) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | 0 | ((* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (+ x y) (+ x y))) |
| 3.0ms | y | @ | -inf | ((* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (+ x y) (+ x y))) |
| 3.0ms | x | @ | -inf | ((* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (+ x y) (+ x y))) |
| 2.0ms | x | @ | 0 | ((* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (+ x y) (+ x y))) |
| 2.0ms | x | @ | inf | ((* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (+ x y) (+ x y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 409 | 2125 |
| 1 | 1442 | 2043 |
| 2 | 6254 | 1889 |
| 0 | 8274 | 1717 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (pow y 2) (+ 1 y)) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (pow y 2))) (* (pow y 2) (+ 1 y))) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (+ (* x (+ 1 (+ y (* 2 y)))) (pow y 2)))) (* (pow y 2) (+ 1 y))) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (+ (* x (+ 1 (+ x (+ y (* 2 y))))) (pow y 2)))) (* (pow y 2) (+ 1 y))) |
(/ x (* y (+ 1 y))) |
(* x (+ (* -1 (* x (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(* x (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(* x (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1 (+ y (* 2 y))) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))) (+ (* 2 (* y (+ 1 y))) (pow y 2))) (* (pow y 2) (+ 1 y)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(* x y) |
(pow y 2) |
(+ (* 2 (* x y)) (pow y 2)) |
(+ (* x (+ x (* 2 y))) (pow y 2)) |
(pow x 3) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (/ 1 x) (/ y x))))) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (* 2 (/ (* y (+ 1 y)) (pow x 2))) (+ (/ 1 x) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (* 2 (/ (* y (+ 1 y)) (pow x 2))) (+ (/ 1 x) (+ (/ y x) (+ (/ (* (pow y 2) (+ 1 y)) (pow x 3)) (/ (pow y 2) (pow x 2))))))))) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))) (pow x 2)))) (/ (* y (+ 1 (+ y (* 2 y)))) x)) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (* (+ 1 (+ y (* 2 y))) (+ (* 2 (* y (+ 1 y))) (pow y 2))))) (+ (* -1 (* (+ 1 (+ y (* 2 y))) (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))))) (* (pow y 3) (+ 1 y)))) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ 1 (+ y (* 2 y))) 2)) (pow x 2))) (+ (/ (* y (+ 1 (+ y (* 2 y)))) x) (/ (* y (+ (* 2 (* y (+ 1 y))) (pow y 2))) (pow x 2))))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (* 2 y))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))) x)) (* 2 y)))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (+ (* -1 (/ (* (pow y 2) (+ 1 y)) x)) (* -1 (pow y 2)))) x)) (* 2 y)))) x)) 1))) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(* (pow x 2) (+ 1 x)) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x))) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (+ (* y (+ 1 (+ x (* 2 x)))) (pow x 2)))) (* (pow x 2) (+ 1 x))) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (+ (* y (+ 1 (+ x (+ y (* 2 x))))) (pow x 2)))) (* (pow x 2) (+ 1 x))) |
(/ y (* x (+ 1 x))) |
(* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (+ x (* 2 x))) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))) (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(+ (* 2 (* x y)) (pow x 2)) |
(+ (* y (+ y (* 2 x))) (pow x 2)) |
(pow y 3) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (/ 1 y) (/ x y))))) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (* 2 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 y) (+ (/ x y) (/ (pow x 2) (pow y 2)))))))) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (* 2 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 y) (+ (/ x y) (+ (/ (* (pow x 2) (+ 1 x)) (pow y 3)) (/ (pow x 2) (pow y 2))))))))) |
(/ x (pow y 2)) |
(/ (+ x (* -1 (/ (* x (+ 1 (+ x (* 2 x)))) y))) (pow y 2)) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (pow (+ 1 (+ x (* 2 x))) 2))) (* x (+ (* 2 (* x (+ 1 x))) (pow x 2)))) (pow y 2)))) (/ (* x (+ 1 (+ x (* 2 x)))) y)) (pow y 2)) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (* (+ 1 (+ x (* 2 x))) (+ (* 2 (* x (+ 1 x))) (pow x 2))))) (+ (* -1 (* (+ 1 (+ x (* 2 x))) (+ (* -1 (* x (pow (+ 1 (+ x (* 2 x))) 2))) (* x (+ (* 2 (* x (+ 1 x))) (pow x 2)))))) (* (pow x 3) (+ 1 x)))) (pow y 3)))) (+ (* -1 (/ (* x (pow (+ 1 (+ x (* 2 x))) 2)) (pow y 2))) (+ (/ (* x (+ 1 (+ x (* 2 x)))) y) (/ (* x (+ (* 2 (* x (+ 1 x))) (pow x 2))) (pow y 2))))) (pow y 2)) |
(* (pow y 2) (+ 1 (* 2 (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (* 2 x))) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (+ (* -1 (/ (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))) y)) (* 2 x)))) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (+ (* -1 (/ (+ (* -2 (* x (+ 1 x))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (pow x 2)))) y)) (* 2 x)))) y)) 1))) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* x (* (+ 1 (+ x (* 2 x))) (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))))) (+ (* (+ 1 (+ x (* 2 x))) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) (* (pow x 3) (+ 1 x)))) y)) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
| Outputs |
|---|
(* (pow y 2) (+ 1 y)) |
(*.f64 (fma.f64 y y y) y) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (pow y 2))) (* (pow y 2) (+ 1 y))) |
(fma.f64 (fma.f64 y y y) (fma.f64 #s(literal 2 binary64) x y) (*.f64 (*.f64 y x) y)) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (+ (* x (+ 1 (+ y (* 2 y)))) (pow y 2)))) (* (pow y 2) (+ 1 y))) |
(fma.f64 (fma.f64 y y y) (fma.f64 #s(literal 2 binary64) x y) (*.f64 (+.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) x y) y)) x)) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (+ (* x (+ 1 (+ x (+ y (* 2 y))))) (pow y 2)))) (* (pow y 2) (+ 1 y))) |
(fma.f64 (fma.f64 y y y) (fma.f64 #s(literal 2 binary64) x y) (*.f64 (fma.f64 y y (fma.f64 (fma.f64 #s(literal 3 binary64) y x) x x)) x)) |
(/ x (* y (+ 1 y))) |
(/.f64 x (fma.f64 y y y)) |
(* x (+ (* -1 (* x (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y y)) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y y) y)) x (/.f64 x (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)))) x) |
(* x (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y) y))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y y) y))) (*.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64) y))) (*.f64 (fma.f64 y y y) y))) x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y y) y))))) x (/.f64 #s(literal 1 binary64) (fma.f64 y y y))) x) |
(* x (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1 (+ y (* 2 y))) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))) (+ (* 2 (* y (+ 1 y))) (pow y 2))) (* (pow y 2) (+ 1 y)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64) y)) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y) y))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y y) y))) (*.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64) y))) (*.f64 (fma.f64 y y y) y))) (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y y) y))) (/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) y))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y y) y))) (*.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64) y))) (*.f64 (fma.f64 y y y) y)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y) y))))) x (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y y) y))))) (/.f64 x (fma.f64 y y y))) |
(* x y) |
(*.f64 y x) |
(pow y 2) |
(*.f64 y y) |
(+ (* 2 (* x y)) (pow y 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y) |
(+ (* x (+ x (* 2 y))) (pow y 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (/ 1 x) (/ y x))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (* 2 (/ (* y (+ 1 y)) (pow x 2))) (+ (/ 1 x) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) x) y (/.f64 y x)) (fma.f64 (/.f64 y x) (/.f64 y x) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (* 2 (/ (* y (+ 1 y)) (pow x 2))) (+ (/ 1 x) (+ (/ y x) (+ (/ (* (pow y 2) (+ 1 y)) (pow x 3)) (/ (pow y 2) (pow x 2))))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) x) y (/.f64 y x)) (fma.f64 y (fma.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 y x) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ y (pow x 2)) |
(/.f64 (/.f64 y x) x) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) x) x) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))) (pow x 2)))) (/ (* y (+ 1 (+ y (* 2 y)))) x)) (pow x 2)) |
(/.f64 (fma.f64 (neg.f64 y) (/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) x) (-.f64 y (/.f64 (*.f64 y (fma.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64) y) (neg.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 x x)))) (*.f64 x x)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (* (+ 1 (+ y (* 2 y))) (+ (* 2 (* y (+ 1 y))) (pow y 2))))) (+ (* -1 (* (+ 1 (+ y (* 2 y))) (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))))) (* (pow y 3) (+ 1 y)))) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ 1 (+ y (* 2 y))) 2)) (pow x 2))) (+ (/ (* y (+ 1 (+ y (* 2 y)))) x) (/ (* y (+ (* 2 (* y (+ 1 y))) (pow y 2))) (pow x 2))))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 y (/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (fma.f64 (*.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64) y)) y (*.f64 y (fma.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64) y) (neg.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64)))))))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) x) y (/.f64 (*.f64 y (fma.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64) y) (neg.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 x x)))) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (* 2 y))) x)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))) x)) (* 2 y)))) x)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (/.f64 (*.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -2 binary64) (neg.f64 y))) x)) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (+ (* -1 (/ (* (pow y 2) (+ 1 y)) x)) (* -1 (pow y 2)))) x)) (* 2 y)))) x)) 1))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 y y y) (neg.f64 (*.f64 y (fma.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x) y)))) x)) x))) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y (*.f64 (neg.f64 y) (/.f64 (fma.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -2 binary64) (neg.f64 y)) (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64))) x))) x)) (*.f64 x x)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y (/.f64 (fma.f64 (fma.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -2 binary64) (neg.f64 y)) (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64))) y (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 (*.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -2 binary64) (neg.f64 y))) (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64))) (+.f64 y y) (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 3 binary64)) y))) (neg.f64 x))) (neg.f64 x))) x)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (*.f64 (neg.f64 y) y) x)) x)) (*.f64 x x)) |
(* (pow x 2) (+ 1 x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x))) |
(fma.f64 (fma.f64 x x x) (fma.f64 #s(literal 2 binary64) y x) (*.f64 (*.f64 x x) y)) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (+ (* y (+ 1 (+ x (* 2 x)))) (pow x 2)))) (* (pow x 2) (+ 1 x))) |
(fma.f64 (fma.f64 x x x) (fma.f64 #s(literal 2 binary64) y x) (*.f64 (+.f64 y (*.f64 (fma.f64 #s(literal 3 binary64) y x) x)) y)) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (+ (* y (+ 1 (+ x (+ y (* 2 x))))) (pow x 2)))) (* (pow x 2) (+ 1 x))) |
(fma.f64 (fma.f64 x x x) (fma.f64 #s(literal 2 binary64) y x) (*.f64 (fma.f64 x x (fma.f64 (fma.f64 #s(literal 3 binary64) x y) y y)) y)) |
(/ y (* x (+ 1 x))) |
(/.f64 y (fma.f64 x x x)) |
(* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) y (/.f64 y (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)))) y) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) x))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) x))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))) y (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) y) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (+ x (* 2 x))) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))) (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) x)) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) x))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) x))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) (/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) x))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) x))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) x))))) y (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))) y) y (/.f64 y (fma.f64 x x x))) |
(+ (* 2 (* x y)) (pow x 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(+ (* y (+ y (* 2 x))) (pow x 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) |
(pow y 3) |
(pow.f64 y #s(literal 3 binary64)) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (/ 1 y) (/ x y))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (* 2 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 y) (+ (/ x y) (/ (pow x 2) (pow y 2)))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) (/.f64 x y) (/.f64 x y)) (fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)))) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (* 2 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 y) (+ (/ x y) (+ (/ (* (pow x 2) (+ 1 x)) (pow y 3)) (/ (pow x 2) (pow y 2))))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) (/.f64 x y) (/.f64 x y)) (fma.f64 x (fma.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 x y) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)))) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ (+ x (* -1 (/ (* x (+ 1 (+ x (* 2 x)))) y))) (pow y 2)) |
(/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (pow (+ 1 (+ x (* 2 x))) 2))) (* x (+ (* 2 (* x (+ 1 x))) (pow x 2)))) (pow y 2)))) (/ (* x (+ 1 (+ x (* 2 x)))) y)) (pow y 2)) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) y) (-.f64 x (/.f64 (*.f64 x (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) x) (neg.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 y y)))) (*.f64 y y)) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (* (+ 1 (+ x (* 2 x))) (+ (* 2 (* x (+ 1 x))) (pow x 2))))) (+ (* -1 (* (+ 1 (+ x (* 2 x))) (+ (* -1 (* x (pow (+ 1 (+ x (* 2 x))) 2))) (* x (+ (* 2 (* x (+ 1 x))) (pow x 2)))))) (* (pow x 3) (+ 1 x)))) (pow y 3)))) (+ (* -1 (/ (* x (pow (+ 1 (+ x (* 2 x))) 2)) (pow y 2))) (+ (/ (* x (+ 1 (+ x (* 2 x)))) y) (/ (* x (+ (* 2 (* x (+ 1 x))) (pow x 2))) (pow y 2))))) (pow y 2)) |
(/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) x)) x (*.f64 x (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) x) (neg.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))))))) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) y) x (/.f64 (*.f64 x (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) x) (neg.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 y y)))) (*.f64 y y)) |
(* (pow y 2) (+ 1 (* 2 (/ x y)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 y y)) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (* 2 x))) y)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) y))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (+ (* -1 (/ (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))) y)) (* 2 x)))) y)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (/.f64 (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64) (neg.f64 x))) y)) y))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (+ (* -1 (/ (+ (* -2 (* x (+ 1 x))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (pow x 2)))) y)) (* 2 x)))) y)) 1))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 x x x) #s(literal -2 binary64) (neg.f64 (*.f64 x (fma.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) y) x)))) y)) y))) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x (*.f64 (neg.f64 x) (/.f64 (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64) (neg.f64 x)) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) y))) y)) (*.f64 y y)) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* x (* (+ 1 (+ x (* 2 x))) (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))))) (+ (* (+ 1 (+ x (* 2 x))) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) (* (pow x 3) (+ 1 x)))) y)) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x (/.f64 (fma.f64 (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64) (neg.f64 x)) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) x (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64) (neg.f64 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (+.f64 x x) (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) x))) (neg.f64 y))) (neg.f64 y))) y)) (*.f64 y y)) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 (neg.f64 x) x) y)) y)) (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 40 |
| 0 | 15 | 34 |
| 1 | 76 | 34 |
| 2 | 666 | 34 |
| 0 | 8909 | 34 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 x y) |
(*.f64 (+.f64 x y) (+.f64 x y)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) (*.f64 (+.f64 y x) (-.f64 x y))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) y) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (pow.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 5 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) y) x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 y x)) (*.f64 (neg.f64 (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 (+.f64 y x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) #s(literal 1 binary64))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 9 binary64)) (pow.f64 (+.f64 y x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (+.f64 y x) #s(literal 5 binary64)))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) (+.f64 y x)) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
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(/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 y x) y) (-.f64 x y)) (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (-.f64 x y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x (pow.f64 x #s(literal 4 binary64))))) (*.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 y #s(literal 4 binary64))) (-.f64 x y) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) x)))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 x y))) |
(/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 y #s(literal 4 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 y #s(literal 4 binary64))) (-.f64 x y) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (*.f64 (+.f64 y x) x) (-.f64 x y)))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 x y))) |
(/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 y #s(literal 4 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) x)) (-.f64 x y) (*.f64 (-.f64 x y) (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y)))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) x)) (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (-.f64 x y) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y))) (*.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (fma.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) x)) (-.f64 x y) (*.f64 (-.f64 x y) (*.f64 (*.f64 (+.f64 y x) y) (-.f64 x y)))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) x)) (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (-.f64 x y) (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 y #s(literal 4 binary64))))) (*.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (fma.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (-.f64 x y) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y)))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 x y))) |
(/.f64 (fma.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (-.f64 x y) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (*.f64 (+.f64 y x) y) (-.f64 x y)))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 x y))) |
(/.f64 (fma.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 y x) x) (-.f64 x y)) (-.f64 x y) (*.f64 (-.f64 x y) (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y)))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 y x) x) (-.f64 x y)) (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (-.f64 x y) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y))) (*.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 y x) x) (-.f64 x y)) (-.f64 x y) (*.f64 (-.f64 x y) (*.f64 (*.f64 (+.f64 y x) y) (-.f64 x y)))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 y x) x) (-.f64 x y)) (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (-.f64 x y) (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 y #s(literal 4 binary64))))) (*.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) x (pow.f64 x #s(literal 4 binary64))) (-.f64 x y) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y)))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 x y))) |
(/.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) x (pow.f64 x #s(literal 4 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) x (pow.f64 x #s(literal 4 binary64))) (-.f64 x y) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (*.f64 (+.f64 y x) y) (-.f64 x y)))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 x y))) |
(/.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) x (pow.f64 x #s(literal 4 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 y x)) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(/.f64 (*.f64 (+.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x) y)))) |
(/.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 y x)) (-.f64 x y)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 x y))) |
(/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (+.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (-.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x) y))) (+.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))) (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 x y)) (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 y x)) (-.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) |
(/.f64 (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (fma.f64 y x (*.f64 (+.f64 y x) y))) |
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (fma.f64 y x (*.f64 (+.f64 y x) x))) |
(fma.f64 (*.f64 #s(literal 1 binary64) y) (+.f64 y x) (*.f64 (+.f64 y x) x)) |
(fma.f64 (*.f64 #s(literal 1 binary64) x) (+.f64 y x) (*.f64 (+.f64 y x) y)) |
(fma.f64 (*.f64 x #s(literal 1 binary64)) (+.f64 y x) (*.f64 (+.f64 y x) y)) |
(fma.f64 (neg.f64 (neg.f64 x)) y (fma.f64 y y (*.f64 (+.f64 y x) x))) |
(fma.f64 (neg.f64 (neg.f64 x)) y (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(fma.f64 (neg.f64 (neg.f64 y)) x (fma.f64 y y (*.f64 (+.f64 y x) x))) |
(fma.f64 (neg.f64 (neg.f64 y)) x (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(fma.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) x)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (+.f64 y x) y)) |
(fma.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (+.f64 y x) y)) |
(fma.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (+.f64 y x) x)) |
(fma.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (+.f64 y x) x)) |
(fma.f64 (*.f64 (*.f64 (+.f64 y x) y) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (+.f64 y x) x)) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (+.f64 y x) x)) |
(fma.f64 (*.f64 (*.f64 (+.f64 y x) x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (+.f64 y x) y)) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) x (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (+.f64 y x) y)) |
(fma.f64 (neg.f64 x) (neg.f64 y) (fma.f64 y y (*.f64 (+.f64 y x) x))) |
(fma.f64 (neg.f64 x) (neg.f64 y) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(fma.f64 (neg.f64 y) (neg.f64 x) (fma.f64 y y (*.f64 (+.f64 y x) x))) |
(fma.f64 (neg.f64 y) (neg.f64 x) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y) (fma.f64 y y (*.f64 (+.f64 y x) x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(fma.f64 (*.f64 (+.f64 y x) y) #s(literal 1 binary64) (*.f64 (+.f64 y x) x)) |
(fma.f64 (*.f64 (+.f64 y x) x) #s(literal 1 binary64) (*.f64 (+.f64 y x) y)) |
(fma.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x) (*.f64 (+.f64 y x) y)) |
(fma.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) (*.f64 (+.f64 y x) x)) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) x) (*.f64 (+.f64 y x) y)) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) y) (*.f64 (+.f64 y x) x)) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (fma.f64 y y (*.f64 (+.f64 y x) x))) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) y) (*.f64 (+.f64 y x) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (fma.f64 y y (*.f64 (+.f64 y x) x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(fma.f64 (+.f64 y x) (*.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 y x) x)) |
(fma.f64 (+.f64 y x) (*.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 y x) y)) |
(fma.f64 (+.f64 y x) (*.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 y x) y)) |
(fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) |
(fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) |
(fma.f64 y (*.f64 x #s(literal 1 binary64)) (fma.f64 y y (*.f64 (+.f64 y x) x))) |
(fma.f64 y (*.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(fma.f64 y (neg.f64 (neg.f64 x)) (fma.f64 y y (*.f64 (+.f64 y x) x))) |
(fma.f64 y (neg.f64 (neg.f64 x)) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(fma.f64 y (+.f64 y x) (*.f64 (+.f64 y x) x)) |
(fma.f64 y y (fma.f64 y x (*.f64 (+.f64 y x) x))) |
(fma.f64 y x (fma.f64 y y (*.f64 (+.f64 y x) x))) |
(fma.f64 y x (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(fma.f64 x (neg.f64 (neg.f64 y)) (fma.f64 y y (*.f64 (+.f64 y x) x))) |
(fma.f64 x (neg.f64 (neg.f64 y)) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(fma.f64 x (+.f64 y x) (*.f64 (+.f64 y x) y)) |
(fma.f64 x y (fma.f64 y y (*.f64 (+.f64 y x) x))) |
(fma.f64 x y (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(fma.f64 x x (fma.f64 y x (*.f64 (+.f64 y x) y))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) |
(+.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (*.f64 y x)) |
(+.f64 (fma.f64 (+.f64 y x) y (*.f64 y x)) (*.f64 x x)) |
(+.f64 (fma.f64 (+.f64 y x) x (*.f64 y x)) (*.f64 y y)) |
(+.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (*.f64 y x)) |
(+.f64 (*.f64 (+.f64 y x) y) (*.f64 (+.f64 y x) x)) |
(+.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) |
(+.f64 (*.f64 y y) (fma.f64 y x (*.f64 (+.f64 y x) x))) |
(+.f64 (*.f64 x x) (fma.f64 y x (*.f64 (+.f64 y x) y))) |
(+.f64 (*.f64 y x) (fma.f64 y y (*.f64 (+.f64 y x) x))) |
(+.f64 (*.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
Compiled 27 545 to 2 786 computations (89.9% saved)
20 alts after pruning (19 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 795 | 19 | 814 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 795 | 20 | 815 |
| Status | Accuracy | Program |
|---|---|---|
| 93.9% | (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) | |
| ▶ | 70.4% | (/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| ✓ | 70.4% | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| ▶ | 41.7% | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 46.9% | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| 40.3% | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| 32.1% | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| 35.8% | (/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (fma.f64 (fma.f64 y y y) (fma.f64 #s(literal 2 binary64) x y) (*.f64 (*.f64 y x) y)))) | |
| 26.9% | (/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (fma.f64 (fma.f64 x x x) (fma.f64 #s(literal 2 binary64) y x) (*.f64 (*.f64 x x) y)))) | |
| ▶ | 39.7% | (/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
| 84.8% | (*.f64 (pow.f64 (+.f64 y x) #s(literal -2 binary64)) (*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))))) | |
| 75.4% | (*.f64 (/.f64 (*.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) | |
| 99.8% | (*.f64 (/.f64 y (+.f64 y x)) (*.f64 (/.f64 x (+.f64 y x)) (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64)))) | |
| 93.9% | (*.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 x (+.f64 y x))) | |
| ▶ | 99.8% | (*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
| 40.8% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y)) | |
| 37.9% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) | |
| 42.7% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) | |
| 45.7% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) | |
| ▶ | 52.4% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
Compiled 873 to 471 computations (46% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| cost-diff | 1 | (*.f64 (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) | |
| cost-diff | 3 | (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) | |
| cost-diff | 0 | #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (fma.f64 y y y) y) | |
| cost-diff | 0 | #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) | |
| cost-diff | 0 | (fma.f64 y y y) | |
| cost-diff | 0 | (/.f64 x (fma.f64 y y y)) | |
| cost-diff | 0 | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) | |
| cost-diff | 0 | (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 x (+.f64 y x)) | |
| cost-diff | 1 | (*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 297 |
| 0 | 58 | 288 |
| 1 | 150 | 288 |
| 2 | 328 | 288 |
| 3 | 785 | 288 |
| 4 | 2619 | 288 |
| 5 | 3506 | 288 |
| 6 | 3942 | 288 |
| 7 | 4044 | 288 |
| 8 | 4082 | 288 |
| 9 | 4098 | 288 |
| 10 | 4768 | 288 |
| 11 | 4846 | 288 |
| 12 | 5188 | 288 |
| 13 | 5916 | 288 |
| 14 | 5980 | 288 |
| 15 | 6044 | 288 |
| 16 | 6350 | 288 |
| 17 | 6366 | 288 |
| 18 | 6449 | 288 |
| 19 | 6451 | 288 |
| 0 | 10645 | 282 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) |
(/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
#s(literal 1 binary64) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
(/.f64 x (fma.f64 y y y)) |
x |
(fma.f64 y y y) |
y |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(*.f64 x y) |
x |
y |
#s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)) |
(*.f64 (fma.f64 y y y) y) |
(fma.f64 y y y) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 x y) |
x |
y |
(*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) |
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(fma.f64 #s(literal 2 binary64) y x) |
#s(literal 2 binary64) |
(+.f64 (+.f64 x y) #s(literal 1 binary64)) |
(+.f64 x y) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 x y) |
x |
y |
(*.f64 (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
(fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) |
(+.f64 y x) |
(*.f64 (+.f64 y x) y) |
(+.f64 (+.f64 x y) #s(literal 1 binary64)) |
(+.f64 x y) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(/.f64 (*.f64 y x) (fma.f64 (+.f64 y x) (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) |
(/.f64 (/.f64 y (+.f64 y x)) (+.f64 (+.f64 y x) #s(literal 1 binary64))) |
(/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 y (+.f64 (+.f64 y x) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
(+.f64 (+.f64 y x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
(/.f64 x (fma.f64 y y y)) |
x |
(fma.f64 y y y) |
y |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(/.f64 (*.f64 y x) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
#s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)) |
(*.f64 (fma.f64 y y y) y) |
(fma.f64 y y y) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 x (+.f64 (+.f64 y x) #s(literal 1 binary64))) y) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
(*.f64 (+.f64 (+.f64 y x) #s(literal 1 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))) |
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) |
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(fma.f64 #s(literal 2 binary64) y x) |
#s(literal 2 binary64) |
(+.f64 (+.f64 x y) #s(literal 1 binary64)) |
(+.f64 (+.f64 y x) #s(literal 1 binary64)) |
(+.f64 x y) |
(+.f64 y x) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y x) (fma.f64 (+.f64 y x) (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
(fma.f64 (+.f64 y x) (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) |
(fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) |
(*.f64 (+.f64 y x) (+.f64 y x)) |
(+.f64 y x) |
(*.f64 (+.f64 y x) y) |
(+.f64 (+.f64 x y) #s(literal 1 binary64)) |
(+.f64 (+.f64 y x) #s(literal 1 binary64)) |
(+.f64 x y) |
(+.f64 y x) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (*.f64 (+.f64 y x) y) | |
| accuracy | 0.0625 | (*.f64 (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) | |
| accuracy | 3.2655892188722824 | (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) | |
| accuracy | 18.753587654087216 | (/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| accuracy | 0.01171875 | (*.f64 (fma.f64 #s(literal 2 binary64) y x) x) | |
| accuracy | 0.0625 | (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) | |
| accuracy | 18.753587654087216 | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| accuracy | 30.509432797787998 | #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.0625 | (*.f64 (fma.f64 y y y) y) | |
| accuracy | 18.753587654087216 | (/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) | |
| accuracy | 26.321757526514908 | #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)) | |
| accuracy | 0.0 | (fma.f64 y y y) | |
| accuracy | 3.9192443575034237 | (/.f64 x (fma.f64 y y y)) | |
| accuracy | 29.389241366287273 | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) | |
| accuracy | 0.0078125 | (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) | |
| accuracy | 0.01953125 | (/.f64 x (+.f64 y x)) | |
| accuracy | 0.04296875 | (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) | |
| accuracy | 0.09994125976844201 | (*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
| 194.0ms | 256× | 0 | valid |
Compiled 266 to 30 computations (88.7% saved)
ival-mult: 63.0ms (55% of total)ival-div: 44.0ms (38.4% of total)ival-add: 8.0ms (7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(/.f64 x (+.f64 y x)) |
(+.f64 y x) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
(/.f64 x (fma.f64 y y y)) |
(fma.f64 y y y) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(*.f64 x y) |
#s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)) |
(*.f64 (fma.f64 y y y) y) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) |
(fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) |
(*.f64 (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(*.f64 (+.f64 y x) y) |
| Outputs |
|---|
(/ x (* y (+ 1 y))) |
(* x (+ (* -1 (* x (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(* x (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(* x (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1 (+ y (* 2 y))) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))) (+ (* 2 (* y (+ 1 y))) (pow y 2))) (* (pow y 2) (+ 1 y)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
y |
(+ x y) |
(/ 1 (+ 1 y)) |
(+ (* -1 (* x (+ (* 2 (/ 1 (pow (+ 1 y) 2))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (+ 1 y))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (+ (* 2 (/ 1 (pow (+ 1 y) 2))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (+ 1 y))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (* -1 (/ (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2)))) (* y (+ 1 y))))))) (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (+ (* 2 (/ 1 (pow (+ 1 y) 2))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (+ 1 y))) |
(/ x (+ y (pow y 2))) |
(* x y) |
(* (pow y 2) (+ 1 y)) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (pow y 2))) (* (pow y 2) (+ 1 y))) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (+ (* x (+ 1 (+ y (* 2 y)))) (pow y 2)))) (* (pow y 2) (+ 1 y))) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (+ (* x (+ 1 (+ x (+ y (* 2 y))))) (pow y 2)))) (* (pow y 2) (+ 1 y))) |
(pow y 2) |
(+ (* 2 (* x y)) (pow y 2)) |
(+ (* x (+ x (* 2 y))) (pow y 2)) |
(/ y (+ 1 y)) |
(+ (* -1 (/ (* x y) (pow (+ 1 y) 2))) (/ y (+ 1 y))) |
(+ (* x (- (/ (* x y) (pow (+ 1 y) 3)) (/ y (pow (+ 1 y) 2)))) (/ y (+ 1 y))) |
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow (+ 1 y) 4))) (* -1 (/ y (pow (+ 1 y) 3))))) (/ y (pow (+ 1 y) 2)))) (/ y (+ 1 y))) |
(* 2 (* x y)) |
(* x (+ x (* 2 y))) |
(+ (* x y) (pow y 2)) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))) (pow x 2)))) (/ (* y (+ 1 (+ y (* 2 y)))) x)) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (* (+ 1 (+ y (* 2 y))) (+ (* 2 (* y (+ 1 y))) (pow y 2))))) (+ (* -1 (* (+ 1 (+ y (* 2 y))) (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))))) (* (pow y 3) (+ 1 y)))) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ 1 (+ y (* 2 y))) 2)) (pow x 2))) (+ (/ (* y (+ 1 (+ y (* 2 y)))) x) (/ (* y (+ (* 2 (* y (+ 1 y))) (pow y 2))) (pow x 2))))) (pow x 2)) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
x |
(* x (+ 1 (/ y x))) |
(/ (+ y (* -1 (/ (* y (+ 1 (* 2 y))) x))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ 1 (* 2 y)) 2))) (* (pow y 2) (+ 1 y))) (pow x 2)))) (/ (* y (+ 1 (* 2 y))) x)) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* (+ 1 (* 2 y)) (+ (* -1 (* y (pow (+ 1 (* 2 y)) 2))) (* (pow y 2) (+ 1 y))))) (* -1 (* (pow y 2) (* (+ 1 y) (+ 1 (* 2 y)))))) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ 1 (* 2 y)) 2)) (pow x 2))) (+ (/ (* y (+ 1 (* 2 y))) x) (/ (* (pow y 2) (+ 1 y)) (pow x 2))))) (pow x 2)) |
(pow x 3) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (/ 1 x) (/ y x))))) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (* 2 (/ (* y (+ 1 y)) (pow x 2))) (+ (/ 1 x) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (* 2 (/ (* y (+ 1 y)) (pow x 2))) (+ (/ 1 x) (+ (/ y x) (+ (/ (* (pow y 2) (+ 1 y)) (pow x 3)) (/ (pow y 2) (pow x 2))))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(/ y x) |
(/ (+ y (* -1 (/ (* y (+ 1 y)) x))) x) |
(/ (- (+ y (/ (* y (pow (+ 1 y) 2)) (pow x 2))) (/ (* y (+ 1 y)) x)) x) |
(/ (- (+ y (* -1 (/ (* y (pow (+ 1 y) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ 1 y) 2)) (pow x 2))) (/ (* y (+ 1 y)) x))) x) |
(* x (+ y (/ (pow y 2) x))) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(/ (+ y (/ (* y (+ (* -1 y) (* -1 (+ 1 y)))) x)) (pow x 2)) |
(/ (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2)) x)) (/ (* (pow y 2) (+ 1 y)) x)) (* y (+ (* -1 y) (* -1 (+ 1 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 y) (* -1 (+ 1 y))) (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2))) (* (pow y 2) (+ 1 y)))) x)) (* -1 (/ (* (pow y 2) (* (+ 1 y) (+ (* -1 y) (* -1 (+ 1 y))))) x))) (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2))) (* (pow y 2) (+ 1 y)))) x)) (* y (+ (* -1 y) (* -1 (+ 1 y))))) x))) (pow x 2)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (* 2 y))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))) x)) (* 2 y)))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (+ (* -1 (/ (* (pow y 2) (+ 1 y)) x)) (* -1 (pow y 2)))) x)) (* 2 y)))) x)) 1))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(* -1 (/ (+ (* -1 y) (/ (* y (+ 1 y)) x)) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (+ 1 y) 2)) x) (* y (+ 1 y))) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ 1 y) 3)) x) (* y (pow (+ 1 y) 2))) x)) (* y (+ 1 y))) x))) x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow y 2) x))))) |
(/ y (* x (+ 1 x))) |
(* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (+ x (* 2 x))) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))) (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(* y (+ (* -1 (* y (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (* -1 (/ (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (* x (+ 1 x))))))) (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(/ (+ x (* -1 (* x y))) y) |
(/ (+ x (* y (- (* x y) x))) y) |
(/ (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) y) |
(* y (+ 1 y)) |
(* (pow x 2) (+ 1 x)) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x))) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (+ (* y (+ 1 (+ x (* 2 x)))) (pow x 2)))) (* (pow x 2) (+ 1 x))) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (+ (* y (+ 1 (+ x (+ y (* 2 x))))) (pow x 2)))) (* (pow x 2) (+ 1 x))) |
(+ (* 2 (* x y)) (pow x 2)) |
(+ (* y (+ y (* 2 x))) (pow x 2)) |
(/ y (+ 1 x)) |
(* y (+ (* -1 (/ y (pow (+ 1 x) 2))) (/ 1 (+ 1 x)))) |
(* y (+ (* y (- (/ y (pow (+ 1 x) 3)) (/ 1 (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))) |
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow (+ 1 x) 4))) (/ 1 (pow (+ 1 x) 3)))) (/ 1 (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))) |
(* y (+ x y)) |
(/ x (pow y 2)) |
(/ (+ x (* -1 (/ (* x (+ 1 (+ x (* 2 x)))) y))) (pow y 2)) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (pow (+ 1 (+ x (* 2 x))) 2))) (* x (+ (* 2 (* x (+ 1 x))) (pow x 2)))) (pow y 2)))) (/ (* x (+ 1 (+ x (* 2 x)))) y)) (pow y 2)) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (* (+ 1 (+ x (* 2 x))) (+ (* 2 (* x (+ 1 x))) (pow x 2))))) (+ (* -1 (* (+ 1 (+ x (* 2 x))) (+ (* -1 (* x (pow (+ 1 (+ x (* 2 x))) 2))) (* x (+ (* 2 (* x (+ 1 x))) (pow x 2)))))) (* (pow x 3) (+ 1 x)))) (pow y 3)))) (+ (* -1 (/ (* x (pow (+ 1 (+ x (* 2 x))) 2)) (pow y 2))) (+ (/ (* x (+ 1 (+ x (* 2 x)))) y) (/ (* x (+ (* 2 (* x (+ 1 x))) (pow x 2))) (pow y 2))))) (pow y 2)) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* y (+ 1 (/ x y))) |
(/ 1 y) |
(/ (+ 1 (* -1 (/ (+ 1 (* 2 x)) y))) y) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 1 (* 2 x)) 2)) (* x (+ 1 x))) (pow y 2)))) (+ (* 2 (/ x y)) (/ 1 y))) y) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* x (* (+ 1 x) (+ 1 (* 2 x))))) (* -1 (* (+ 1 (* 2 x)) (+ (* -1 (pow (+ 1 (* 2 x)) 2)) (* x (+ 1 x)))))) (pow y 3)))) (+ (* -1 (/ (pow (+ 1 (* 2 x)) 2) (pow y 2))) (+ (* 2 (/ x y)) (+ (/ 1 y) (/ (* x (+ 1 x)) (pow y 2)))))) y) |
(/ (+ x (* -1 (/ x y))) (pow y 2)) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) (pow y 2)) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) (pow y 2)) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(pow y 3) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (/ 1 y) (/ x y))))) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (* 2 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 y) (+ (/ x y) (/ (pow x 2) (pow y 2)))))))) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (* 2 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 y) (+ (/ x y) (+ (/ (* (pow x 2) (+ 1 x)) (pow y 3)) (/ (pow x 2) (pow y 2))))))))) |
(* (pow y 3) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (* 2 (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(+ 1 (* -1 (/ (+ 1 x) y))) |
(- (+ 1 (/ (pow (+ 1 x) 2) (pow y 2))) (+ (/ 1 y) (/ x y))) |
(- (+ 1 (* -1 (/ (pow (+ 1 x) 3) (pow y 3)))) (+ (* -1 (/ (pow (+ 1 x) 2) (pow y 2))) (+ (/ 1 y) (/ x y)))) |
(* y (+ (* 2 x) (/ (pow x 2) y))) |
(* (pow y 2) (+ 1 (/ x y))) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* x (* (+ 1 (+ x (* 2 x))) (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))))) (+ (* (+ 1 (+ x (* 2 x))) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) (* (pow x 3) (+ 1 x)))) y)) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (+ 1 x))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ 1 x)) y)) (/ (pow (+ (* -1 x) (* -1 (+ 1 x))) 2) y)) (* -1 (+ (* -1 x) (* -1 (+ 1 x))))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 x) (* -1 (+ 1 x))) (+ (* -1 (* x (+ 1 x))) (pow (+ (* -1 x) (* -1 (+ 1 x))) 2))) y)) (/ (* x (* (+ 1 x) (+ (* -1 x) (* -1 (+ 1 x))))) y)) (+ (* -1 (* x (+ 1 x))) (pow (+ (* -1 x) (* -1 (+ 1 x))) 2))) y)) (* -1 (+ (* -1 x) (* -1 (+ 1 x))))) y)) 1) y)) |
(/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) (pow y 2)) |
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)) (* -1 x)) y))) (pow y 2)) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (* 2 x))) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (+ (* -1 (/ (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))) y)) (* 2 x)))) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (+ (* -1 (/ (+ (* -2 (* x (+ 1 x))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (pow x 2)))) y)) (* 2 x)))) y)) 1))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 1 x) 2) y)) (* -1 (+ 1 x))) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 x) 3) y)) (* -1 (pow (+ 1 x) 2))) y)) (* -1 (+ 1 x))) y))) |
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | 0 | ((* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (+ y x)) (+ y x) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ x (+ (* y y) y)) (+ (* y y) y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ (* y y) y) y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (+ (* (+ y x) x) (* (+ y x) y)) (* (+ (* (+ y x) x) (* (+ y x) y)) (+ (+ x y) 1)) (/ (* x y) (* (+ (* (+ y x) x) (* (+ y x) y)) (+ (+ x y) 1))) (/ y (+ 1 (+ y x))) (* (+ (* 2 y) x) x) (* (+ y x) y)) |
| 5.0ms | x | @ | -inf | ((* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (+ y x)) (+ y x) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ x (+ (* y y) y)) (+ (* y y) y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ (* y y) y) y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (+ (* (+ y x) x) (* (+ y x) y)) (* (+ (* (+ y x) x) (* (+ y x) y)) (+ (+ x y) 1)) (/ (* x y) (* (+ (* (+ y x) x) (* (+ y x) y)) (+ (+ x y) 1))) (/ y (+ 1 (+ y x))) (* (+ (* 2 y) x) x) (* (+ y x) y)) |
| 4.0ms | x | @ | 0 | ((* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (+ y x)) (+ y x) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ x (+ (* y y) y)) (+ (* y y) y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ (* y y) y) y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (+ (* (+ y x) x) (* (+ y x) y)) (* (+ (* (+ y x) x) (* (+ y x) y)) (+ (+ x y) 1)) (/ (* x y) (* (+ (* (+ y x) x) (* (+ y x) y)) (+ (+ x y) 1))) (/ y (+ 1 (+ y x))) (* (+ (* 2 y) x) x) (* (+ y x) y)) |
| 4.0ms | y | @ | -inf | ((* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (+ y x)) (+ y x) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ x (+ (* y y) y)) (+ (* y y) y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ (* y y) y) y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (+ (* (+ y x) x) (* (+ y x) y)) (* (+ (* (+ y x) x) (* (+ y x) y)) (+ (+ x y) 1)) (/ (* x y) (* (+ (* (+ y x) x) (* (+ y x) y)) (+ (+ x y) 1))) (/ y (+ 1 (+ y x))) (* (+ (* 2 y) x) x) (* (+ y x) y)) |
| 4.0ms | x | @ | inf | ((* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (+ y x)) (+ y x) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ x (+ (* y y) y)) (+ (* y y) y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ (* y y) y) y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (+ (* (+ y x) x) (* (+ y x) y)) (* (+ (* (+ y x) x) (* (+ y x) y)) (+ (+ x y) 1)) (/ (* x y) (* (+ (* (+ y x) x) (* (+ y x) y)) (+ (+ x y) 1))) (/ y (+ 1 (+ y x))) (* (+ (* 2 y) x) x) (* (+ y x) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 860 | 4181 |
| 1 | 3015 | 3963 |
| 0 | 8323 | 3681 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (* y (+ 1 y))) |
(* x (+ (* -1 (* x (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(* x (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(* x (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1 (+ y (* 2 y))) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))) (+ (* 2 (* y (+ 1 y))) (pow y 2))) (* (pow y 2) (+ 1 y)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
y |
(+ x y) |
(/ 1 (+ 1 y)) |
(+ (* -1 (* x (+ (* 2 (/ 1 (pow (+ 1 y) 2))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (+ 1 y))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (+ (* 2 (/ 1 (pow (+ 1 y) 2))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (+ 1 y))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (* -1 (/ (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2)))) (* y (+ 1 y))))))) (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (+ (* 2 (/ 1 (pow (+ 1 y) 2))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (+ 1 y))) |
(/ x (+ y (pow y 2))) |
(* x y) |
(* (pow y 2) (+ 1 y)) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (pow y 2))) (* (pow y 2) (+ 1 y))) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (+ (* x (+ 1 (+ y (* 2 y)))) (pow y 2)))) (* (pow y 2) (+ 1 y))) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (+ (* x (+ 1 (+ x (+ y (* 2 y))))) (pow y 2)))) (* (pow y 2) (+ 1 y))) |
(pow y 2) |
(+ (* 2 (* x y)) (pow y 2)) |
(+ (* x (+ x (* 2 y))) (pow y 2)) |
(/ y (+ 1 y)) |
(+ (* -1 (/ (* x y) (pow (+ 1 y) 2))) (/ y (+ 1 y))) |
(+ (* x (- (/ (* x y) (pow (+ 1 y) 3)) (/ y (pow (+ 1 y) 2)))) (/ y (+ 1 y))) |
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow (+ 1 y) 4))) (* -1 (/ y (pow (+ 1 y) 3))))) (/ y (pow (+ 1 y) 2)))) (/ y (+ 1 y))) |
(* 2 (* x y)) |
(* x (+ x (* 2 y))) |
(+ (* x y) (pow y 2)) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))) (pow x 2)))) (/ (* y (+ 1 (+ y (* 2 y)))) x)) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (* (+ 1 (+ y (* 2 y))) (+ (* 2 (* y (+ 1 y))) (pow y 2))))) (+ (* -1 (* (+ 1 (+ y (* 2 y))) (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))))) (* (pow y 3) (+ 1 y)))) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ 1 (+ y (* 2 y))) 2)) (pow x 2))) (+ (/ (* y (+ 1 (+ y (* 2 y)))) x) (/ (* y (+ (* 2 (* y (+ 1 y))) (pow y 2))) (pow x 2))))) (pow x 2)) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
x |
(* x (+ 1 (/ y x))) |
(/ (+ y (* -1 (/ (* y (+ 1 (* 2 y))) x))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ 1 (* 2 y)) 2))) (* (pow y 2) (+ 1 y))) (pow x 2)))) (/ (* y (+ 1 (* 2 y))) x)) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* (+ 1 (* 2 y)) (+ (* -1 (* y (pow (+ 1 (* 2 y)) 2))) (* (pow y 2) (+ 1 y))))) (* -1 (* (pow y 2) (* (+ 1 y) (+ 1 (* 2 y)))))) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ 1 (* 2 y)) 2)) (pow x 2))) (+ (/ (* y (+ 1 (* 2 y))) x) (/ (* (pow y 2) (+ 1 y)) (pow x 2))))) (pow x 2)) |
(pow x 3) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (/ 1 x) (/ y x))))) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (* 2 (/ (* y (+ 1 y)) (pow x 2))) (+ (/ 1 x) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (* 2 (/ (* y (+ 1 y)) (pow x 2))) (+ (/ 1 x) (+ (/ y x) (+ (/ (* (pow y 2) (+ 1 y)) (pow x 3)) (/ (pow y 2) (pow x 2))))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(/ y x) |
(/ (+ y (* -1 (/ (* y (+ 1 y)) x))) x) |
(/ (- (+ y (/ (* y (pow (+ 1 y) 2)) (pow x 2))) (/ (* y (+ 1 y)) x)) x) |
(/ (- (+ y (* -1 (/ (* y (pow (+ 1 y) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ 1 y) 2)) (pow x 2))) (/ (* y (+ 1 y)) x))) x) |
(* x (+ y (/ (pow y 2) x))) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(/ (+ y (/ (* y (+ (* -1 y) (* -1 (+ 1 y)))) x)) (pow x 2)) |
(/ (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2)) x)) (/ (* (pow y 2) (+ 1 y)) x)) (* y (+ (* -1 y) (* -1 (+ 1 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 y) (* -1 (+ 1 y))) (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2))) (* (pow y 2) (+ 1 y)))) x)) (* -1 (/ (* (pow y 2) (* (+ 1 y) (+ (* -1 y) (* -1 (+ 1 y))))) x))) (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2))) (* (pow y 2) (+ 1 y)))) x)) (* y (+ (* -1 y) (* -1 (+ 1 y))))) x))) (pow x 2)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (* 2 y))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))) x)) (* 2 y)))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (+ (* -1 (/ (* (pow y 2) (+ 1 y)) x)) (* -1 (pow y 2)))) x)) (* 2 y)))) x)) 1))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(* -1 (/ (+ (* -1 y) (/ (* y (+ 1 y)) x)) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (+ 1 y) 2)) x) (* y (+ 1 y))) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ 1 y) 3)) x) (* y (pow (+ 1 y) 2))) x)) (* y (+ 1 y))) x))) x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow y 2) x))))) |
(/ y (* x (+ 1 x))) |
(* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (+ x (* 2 x))) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))) (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(* y (+ (* -1 (* y (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (* -1 (/ (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (* x (+ 1 x))))))) (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(/ (+ x (* -1 (* x y))) y) |
(/ (+ x (* y (- (* x y) x))) y) |
(/ (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) y) |
(* y (+ 1 y)) |
(* (pow x 2) (+ 1 x)) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x))) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (+ (* y (+ 1 (+ x (* 2 x)))) (pow x 2)))) (* (pow x 2) (+ 1 x))) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (+ (* y (+ 1 (+ x (+ y (* 2 x))))) (pow x 2)))) (* (pow x 2) (+ 1 x))) |
(+ (* 2 (* x y)) (pow x 2)) |
(+ (* y (+ y (* 2 x))) (pow x 2)) |
(/ y (+ 1 x)) |
(* y (+ (* -1 (/ y (pow (+ 1 x) 2))) (/ 1 (+ 1 x)))) |
(* y (+ (* y (- (/ y (pow (+ 1 x) 3)) (/ 1 (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))) |
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow (+ 1 x) 4))) (/ 1 (pow (+ 1 x) 3)))) (/ 1 (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))) |
(* y (+ x y)) |
(/ x (pow y 2)) |
(/ (+ x (* -1 (/ (* x (+ 1 (+ x (* 2 x)))) y))) (pow y 2)) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (pow (+ 1 (+ x (* 2 x))) 2))) (* x (+ (* 2 (* x (+ 1 x))) (pow x 2)))) (pow y 2)))) (/ (* x (+ 1 (+ x (* 2 x)))) y)) (pow y 2)) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (* (+ 1 (+ x (* 2 x))) (+ (* 2 (* x (+ 1 x))) (pow x 2))))) (+ (* -1 (* (+ 1 (+ x (* 2 x))) (+ (* -1 (* x (pow (+ 1 (+ x (* 2 x))) 2))) (* x (+ (* 2 (* x (+ 1 x))) (pow x 2)))))) (* (pow x 3) (+ 1 x)))) (pow y 3)))) (+ (* -1 (/ (* x (pow (+ 1 (+ x (* 2 x))) 2)) (pow y 2))) (+ (/ (* x (+ 1 (+ x (* 2 x)))) y) (/ (* x (+ (* 2 (* x (+ 1 x))) (pow x 2))) (pow y 2))))) (pow y 2)) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* y (+ 1 (/ x y))) |
(/ 1 y) |
(/ (+ 1 (* -1 (/ (+ 1 (* 2 x)) y))) y) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 1 (* 2 x)) 2)) (* x (+ 1 x))) (pow y 2)))) (+ (* 2 (/ x y)) (/ 1 y))) y) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* x (* (+ 1 x) (+ 1 (* 2 x))))) (* -1 (* (+ 1 (* 2 x)) (+ (* -1 (pow (+ 1 (* 2 x)) 2)) (* x (+ 1 x)))))) (pow y 3)))) (+ (* -1 (/ (pow (+ 1 (* 2 x)) 2) (pow y 2))) (+ (* 2 (/ x y)) (+ (/ 1 y) (/ (* x (+ 1 x)) (pow y 2)))))) y) |
(/ (+ x (* -1 (/ x y))) (pow y 2)) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) (pow y 2)) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) (pow y 2)) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(pow y 3) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (/ 1 y) (/ x y))))) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (* 2 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 y) (+ (/ x y) (/ (pow x 2) (pow y 2)))))))) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (* 2 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 y) (+ (/ x y) (+ (/ (* (pow x 2) (+ 1 x)) (pow y 3)) (/ (pow x 2) (pow y 2))))))))) |
(* (pow y 3) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (* 2 (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(+ 1 (* -1 (/ (+ 1 x) y))) |
(- (+ 1 (/ (pow (+ 1 x) 2) (pow y 2))) (+ (/ 1 y) (/ x y))) |
(- (+ 1 (* -1 (/ (pow (+ 1 x) 3) (pow y 3)))) (+ (* -1 (/ (pow (+ 1 x) 2) (pow y 2))) (+ (/ 1 y) (/ x y)))) |
(* y (+ (* 2 x) (/ (pow x 2) y))) |
(* (pow y 2) (+ 1 (/ x y))) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* x (* (+ 1 (+ x (* 2 x))) (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))))) (+ (* (+ 1 (+ x (* 2 x))) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) (* (pow x 3) (+ 1 x)))) y)) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (+ 1 x))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ 1 x)) y)) (/ (pow (+ (* -1 x) (* -1 (+ 1 x))) 2) y)) (* -1 (+ (* -1 x) (* -1 (+ 1 x))))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 x) (* -1 (+ 1 x))) (+ (* -1 (* x (+ 1 x))) (pow (+ (* -1 x) (* -1 (+ 1 x))) 2))) y)) (/ (* x (* (+ 1 x) (+ (* -1 x) (* -1 (+ 1 x))))) y)) (+ (* -1 (* x (+ 1 x))) (pow (+ (* -1 x) (* -1 (+ 1 x))) 2))) y)) (* -1 (+ (* -1 x) (* -1 (+ 1 x))))) y)) 1) y)) |
(/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) (pow y 2)) |
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)) (* -1 x)) y))) (pow y 2)) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (* 2 x))) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (+ (* -1 (/ (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))) y)) (* 2 x)))) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (+ (* -1 (/ (+ (* -2 (* x (+ 1 x))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (pow x 2)))) y)) (* 2 x)))) y)) 1))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 1 x) 2) y)) (* -1 (+ 1 x))) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 x) 3) y)) (* -1 (pow (+ 1 x) 2))) y)) (* -1 (+ 1 x))) y))) |
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y))))) |
| Outputs |
|---|
(/ x (* y (+ 1 y))) |
(/.f64 x (fma.f64 y y y)) |
(* x (+ (* -1 (* x (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(*.f64 (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (fma.f64 y y (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 y y y))) x) |
(* x (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 y y y) (*.f64 y y))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (fma.f64 y y (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y y (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 y y))))) x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (fma.f64 y y (pow.f64 y #s(literal 3 binary64))))))) x (/.f64 #s(literal 1 binary64) (fma.f64 y y y))) x) |
(* x (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1 (+ y (* 2 y))) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))) (+ (* 2 (* y (+ 1 y))) (pow y 2))) (* (pow y 2) (+ 1 y)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (fma.f64 y y (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y y (pow.f64 y #s(literal 3 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 y y y) (*.f64 y y))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (fma.f64 y y (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y y (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 y y))))) (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 y y y) (*.f64 y y)) (fma.f64 y y (pow.f64 y #s(literal 3 binary64))))))) x (fma.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 y y y) (*.f64 y y))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (fma.f64 y y (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y y (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 y y))))))) x (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (fma.f64 y y (pow.f64 y #s(literal 3 binary64))))))) x (/.f64 #s(literal 1 binary64) (fma.f64 y y y))) x) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))) x) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) |
y |
(+ x y) |
(+.f64 y x) |
(/ 1 (+ 1 y)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
(+ (* -1 (* x (+ (* 2 (/ 1 (pow (+ 1 y) 2))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (+ 1 y))) |
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(* (pow y 2) (+ 1 (* 2 (/ x y)))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 y y)) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 x y) (/.f64 x y))) (*.f64 y y)) |
(+ 1 (* -1 (/ (+ 1 x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) y)) |
(- (+ 1 (/ (pow (+ 1 x) 2) (pow y 2))) (+ (/ 1 y) (/ x y))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))) |
(- (+ 1 (* -1 (/ (pow (+ 1 x) 3) (pow y 3)))) (+ (* -1 (/ (pow (+ 1 x) 2) (pow y 2))) (+ (/ 1 y) (/ x y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y y)))) |
(* y (+ (* 2 x) (/ (pow x 2) y))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (*.f64 x x) y)) y) |
(* (pow y 2) (+ 1 (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 y y)) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x (/.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 x x x) #s(literal -2 binary64))))) (neg.f64 y))) y)) (*.f64 y y)) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* x (* (+ 1 (+ x (* 2 x))) (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))))) (+ (* (+ 1 (+ x (* 2 x))) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) (* (pow x 3) (+ 1 x)))) y)) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x (/.f64 (fma.f64 x (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 x x x) #s(literal -2 binary64)))) (/.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 x x x) #s(literal -2 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) x (fma.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 x x x) #s(literal -2 binary64))))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 y))) (neg.f64 y))) y)) (*.f64 y y)) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) (neg.f64 y)) x) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 x x)) (neg.f64 y)) x) (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 (neg.f64 x) y) (neg.f64 y) y) |
(* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (+ 1 x))) y)) 1) y)) |
(/.f64 (-.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) y) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ 1 x)) y)) (/ (pow (+ (* -1 x) (* -1 (+ 1 x))) 2) y)) (* -1 (+ (* -1 x) (* -1 (+ 1 x))))) y)) 1) y)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal -1 binary64) x) y) (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) y)) (+.f64 (+.f64 #s(literal 1 binary64) x) x)) (neg.f64 y)) #s(literal -1 binary64) #s(literal 1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 x) (* -1 (+ 1 x))) (+ (* -1 (* x (+ 1 x))) (pow (+ (* -1 x) (* -1 (+ 1 x))) 2))) y)) (/ (* x (* (+ 1 x) (+ (* -1 x) (* -1 (+ 1 x))))) y)) (+ (* -1 (* x (+ 1 x))) (pow (+ (* -1 x) (* -1 (+ 1 x))) 2))) y)) (* -1 (+ (* -1 x) (* -1 (+ 1 x))))) y)) 1) y)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x (pow.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64))) y) (/.f64 (*.f64 (fma.f64 x x x) (-.f64 (-.f64 #s(literal -1 binary64) x) x)) y)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x (pow.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)))) (neg.f64 y)) (+.f64 (+.f64 #s(literal 1 binary64) x) x)) (neg.f64 y)) #s(literal -1 binary64) #s(literal 1 binary64)) y) |
(/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) (pow y 2)) |
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) (*.f64 y y)) |
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)) (* -1 x)) y))) (pow y 2)) |
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y)) (*.f64 y y)) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (* 2 x))) y)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) y) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (+ (* -1 (/ (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))) y)) (* 2 x)))) y)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 3 binary64) x (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 x x x) #s(literal -2 binary64))) (neg.f64 y))) #s(literal 1 binary64)) y) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (+ (* -1 (/ (+ (* -2 (* x (+ 1 x))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (pow x 2)))) y)) (* 2 x)))) y)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 3 binary64) x (/.f64 (fma.f64 (fma.f64 x x x) #s(literal -2 binary64) (neg.f64 (fma.f64 x x (/.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) y)))) (neg.f64 y))) #s(literal 1 binary64)) y) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 (neg.f64 x) x) y)) y)) (*.f64 y y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 1 x) 2) y)) (* -1 (+ 1 x))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 x) 3) y)) (* -1 (pow (+ 1 x) 2))) y)) (* -1 (+ 1 x))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y) #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) y) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) y)) |
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 (neg.f64 x) x) y)) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 245 |
| 0 | 58 | 216 |
| 1 | 288 | 216 |
| 2 | 2352 | 216 |
| 0 | 8446 | 216 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(/.f64 x (+.f64 y x)) |
(+.f64 y x) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
(/.f64 x (fma.f64 y y y)) |
(fma.f64 y y y) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(*.f64 x y) |
#s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)) |
(*.f64 (fma.f64 y y y) y) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) |
(fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) |
(*.f64 (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(*.f64 (+.f64 y x) y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y x) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(*.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(*.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 x y)))) (*.f64 (+.f64 y x) (-.f64 x y))) |
(*.f64 (/.f64 (/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 (+.f64 y x) x)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 y (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 y x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (+.f64 y x))) |
(*.f64 (/.f64 (*.f64 y (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 y x))) |
(*.f64 (/.f64 (*.f64 y (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) (-.f64 (+.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) y) (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (+.f64 y x)) (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(*.f64 (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 y x))) x) |
(*.f64 (*.f64 y (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64)) (*.f64 y (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (*.f64 y x)) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(*.f64 (*.f64 (neg.f64 x) y) (pow.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (pow.f64 (+.f64 y x) #s(literal -2 binary64))) |
(*.f64 (*.f64 y x) (/.f64 (pow.f64 (+.f64 y x) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(*.f64 (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 x (+.f64 y x)))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(*.f64 y (/.f64 x (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(*.f64 y (*.f64 x (/.f64 (pow.f64 (+.f64 y x) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(*.f64 x (/.f64 (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(*.f64 x (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(*.f64 x (/.f64 (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(pow.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 (+.f64 y x) x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 y x) (+.f64 y x))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x)))) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 y (/.f64 x (+.f64 y x)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x))) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal 1 binary64))) (neg.f64 (/.f64 (+.f64 y x) x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (+.f64 y x)) (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (+.f64 y x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (neg.f64 y))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 y (*.f64 (+.f64 y x) (-.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 y (*.f64 (+.f64 y x) (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 y x)) |
(fma.f64 y y (*.f64 y x)) |
(fma.f64 y x (*.f64 y y)) |
(fma.f64 x y (*.f64 y y)) |
(+.f64 (*.f64 y y) (*.f64 y x)) |
(+.f64 (*.f64 y x) (*.f64 y y)) |
Compiled 45 647 to 5 086 computations (88.9% saved)
26 alts after pruning (23 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 394 | 15 | 1 409 |
| Fresh | 6 | 8 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 403 | 26 | 1 429 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (*.f64 (/.f64 (+.f64 y x) x) (+.f64 y x))) | |
| ▶ | 99.8% | (/.f64 (*.f64 (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) (neg.f64 (+.f64 y x))) |
| 93.9% | (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) | |
| ✓ | 70.4% | (/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| ✓ | 70.4% | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 46.9% | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| ▶ | 40.3% | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 32.1% | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| 98.6% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 y x) x) (+.f64 y x)) (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))))) | |
| 99.8% | (*.f64 (/.f64 y (+.f64 y x)) (*.f64 (/.f64 x (+.f64 y x)) (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64)))) | |
| 38.7% | (*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) | |
| 43.0% | (*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) | |
| 65.0% | (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) | |
| 48.5% | (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) | |
| 58.2% | (*.f64 y (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))))) | |
| 48.7% | (*.f64 y (/.f64 x #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))) | |
| ▶ | 37.9% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) |
| 54.0% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) | |
| 42.7% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) | |
| 45.7% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) | |
| ✓ | 52.4% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
| 52.4% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y))) | |
| ▶ | 33.7% | #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x))) |
| 38.1% | #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y))) | |
| 36.5% | #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) | |
| ▶ | 41.0% | #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
Compiled 1 095 to 602 computations (45% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) | |
| cost-diff | 0 | (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x))) | |
| cost-diff | 1 | (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) | |
| cost-diff | 0 | #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (/.f64 (/.f64 y x) x) | |
| cost-diff | 0 | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 x (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) | |
| cost-diff | 0 | (/.f64 y (+.f64 y x)) | |
| cost-diff | 0 | (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) | |
| cost-diff | 1 | (*.f64 (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) | |
| cost-diff | 2 | (/.f64 (*.f64 (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) (neg.f64 (+.f64 y x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 279 |
| 0 | 70 | 279 |
| 1 | 172 | 279 |
| 2 | 472 | 277 |
| 3 | 1461 | 277 |
| 4 | 5524 | 276 |
| 0 | 8233 | 269 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) (neg.f64 (+.f64 y x))) |
(*.f64 (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) |
(/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 y (+.f64 y x)) |
y |
(+.f64 y x) |
x |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
#s(literal 1 binary64) |
(neg.f64 x) |
(neg.f64 (+.f64 y x)) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) |
(/.f64 (/.f64 y x) x) |
(/.f64 y x) |
y |
x |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 x y) |
x |
y |
(*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
#s(approx (* (+ x y) (+ x y)) (*.f64 y y)) |
(*.f64 y y) |
(+.f64 (+.f64 x y) #s(literal 1 binary64)) |
(+.f64 x y) |
#s(literal 1 binary64) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x))) |
(/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x)) |
(-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) |
y |
(/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) |
(fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
x |
(*.f64 x x) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) |
(*.f64 (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 x (+.f64 x y)) y) (-.f64 #s(literal -1 binary64) (+.f64 x y))) |
(/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x y))) (+.f64 x y)) |
(/.f64 y (+.f64 y x)) |
(/.f64 y (+.f64 x y)) |
y |
(+.f64 y x) |
(+.f64 x y) |
x |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
(+.f64 #s(literal 1 binary64) (+.f64 x y)) |
#s(literal 1 binary64) |
(neg.f64 x) |
(neg.f64 (+.f64 y x)) |
(-.f64 (neg.f64 x) y) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) |
(/.f64 (/.f64 y x) x) |
(/.f64 y x) |
y |
x |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x y))) y) #s(approx (* (+ x y) (+ x y)) (*.f64 y y))) |
(*.f64 x y) |
x |
y |
(*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 x y)) #s(approx (* (+ x y) (+ x y)) (*.f64 y y))) |
#s(approx (* (+ x y) (+ x y)) (*.f64 y y)) |
(*.f64 y y) |
(+.f64 (+.f64 x y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (+.f64 x y)) |
(+.f64 x y) |
#s(literal 1 binary64) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) y #s(literal -1 binary64)) x) y y) x) x)) |
(/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) y #s(literal -1 binary64)) x) y y) x) x) |
(-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) |
(fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) y #s(literal -1 binary64)) x) y y) |
y |
(/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) |
(fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
x |
(*.f64 x x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0625 | (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) | |
| accuracy | 3.785906727570811 | (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) | |
| accuracy | 4.459616979413038 | (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x)) | |
| accuracy | 39.79940988332583 | #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x))) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.0625 | (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) | |
| accuracy | 18.753587654087216 | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| accuracy | 25.70060912277688 | #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) | |
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.09375 | (/.f64 (/.f64 y x) x) | |
| accuracy | 39.725657064534325 | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 6.801938687065398 | (/.f64 x (*.f64 y y)) | |
| accuracy | 36.656034528791686 | #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) | |
| accuracy | 0.0078125 | (/.f64 y (+.f64 y x)) | |
| accuracy | 0.046875 | (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) | |
| accuracy | 0.078125 | (/.f64 (*.f64 (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) (neg.f64 (+.f64 y x))) | |
| accuracy | 7.407726059596136 | (*.f64 (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) |
| 54.0ms | 234× | 0 | valid |
| 32.0ms | 10× | 2 | valid |
| 25.0ms | 12× | 1 | valid |
Compiled 247 to 35 computations (85.8% saved)
ival-mult: 43.0ms (54.7% of total)ival-div: 19.0ms (24.2% of total)adjust: 7.0ms (8.9% of total)ival-add: 6.0ms (7.6% of total)ival-neg: 2.0ms (2.5% of total)ival-sub: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) (neg.f64 (+.f64 y x))) |
(*.f64 (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) |
(/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 y (+.f64 y x)) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
(/.f64 x (*.f64 y y)) |
(*.f64 y y) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) |
(/.f64 (/.f64 y x) x) |
(/.f64 y x) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 x y) |
(*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
#s(approx (* (+ x y) (+ x y)) (*.f64 y y)) |
(-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x))) |
(/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) |
| Outputs |
|---|
(/ x (* y (+ 1 y))) |
(* x (+ (* -1 (* x (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(* x (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(* x (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1 (+ y (* 2 y))) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))) (+ (* 2 (* y (+ 1 y))) (pow y 2))) (* (pow y 2) (+ 1 y)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(* -1 (/ x (+ 1 y))) |
(* x (- (* x (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2))))) (/ 1 (+ 1 y)))) |
(* x (- (* x (+ (* 2 (/ 1 (pow (+ 1 y) 2))) (+ (* x (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2))))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (+ 1 y)))) |
(* x (- (* x (+ (* 2 (/ 1 (pow (+ 1 y) 2))) (+ (* x (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (+ (* x (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (* -1 (/ (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2)))) (* y (+ 1 y)))))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (+ 1 y)))) |
(/ 1 (+ 1 y)) |
(+ (* -1 (* x (+ (* 2 (/ 1 (pow (+ 1 y) 2))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (+ 1 y))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (+ (* 2 (/ 1 (pow (+ 1 y) 2))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (+ 1 y))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (* -1 (/ (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2)))) (* y (+ 1 y))))))) (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (+ (* 2 (/ 1 (pow (+ 1 y) 2))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (+ 1 y))) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y)))) |
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(/ x (pow y 2)) |
(/ y (pow x 2)) |
(/ y x) |
(* x y) |
(* (pow y 2) (+ 1 y)) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (pow y 2))) (* (pow y 2) (+ 1 y))) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (+ (* x (+ 1 (+ y (* 2 y)))) (pow y 2)))) (* (pow y 2) (+ 1 y))) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (+ (* x (+ 1 (+ x (+ y (* 2 y))))) (pow y 2)))) (* (pow y 2) (+ 1 y))) |
(pow y 2) |
(+ (* 2 (* x y)) (pow y 2)) |
(+ (* x (+ x (* 2 y))) (pow y 2)) |
(* -1 (/ (* y (+ 1 (* 3 y))) x)) |
(/ (- (* x y) (* y (+ 1 (* 3 y)))) x) |
(* -1 (/ (* y (+ 1 (* 3 y))) (pow x 3))) |
(/ (+ (* -1 (* y (+ 1 (* 3 y)))) (* x y)) (pow x 3)) |
(/ (* y (+ 1 (* 3 y))) x) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))) (pow x 2)))) (/ (* y (+ 1 (+ y (* 2 y)))) x)) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (* (+ 1 (+ y (* 2 y))) (+ (* 2 (* y (+ 1 y))) (pow y 2))))) (+ (* -1 (* (+ 1 (+ y (* 2 y))) (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))))) (* (pow y 3) (+ 1 y)))) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ 1 (+ y (* 2 y))) 2)) (pow x 2))) (+ (/ (* y (+ 1 (+ y (* 2 y)))) x) (/ (* y (+ (* 2 (* y (+ 1 y))) (pow y 2))) (pow x 2))))) (pow x 2)) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (/ (* y (+ 1 (* 2 y))) x)) x) |
(/ (+ (* -1 y) (+ (* -1 (/ (* y (pow (+ 1 (* 2 y)) 2)) (pow x 2))) (+ (/ (* y (+ 1 (* 2 y))) x) (/ (* (pow y 2) (+ 1 y)) (pow x 2))))) x) |
(/ (+ (* -1 y) (+ (* -1 (/ (* y (pow (+ 1 (* 2 y)) 2)) (pow x 2))) (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (* -1 (* y (pow (+ 1 (* 2 y)) 2))) (* (pow y 2) (+ 1 y)))) (pow x 3))) (+ (* -1 (/ (* (pow y 2) (* (+ 1 y) (+ 1 (* 2 y)))) (pow x 3))) (+ (/ (* y (+ 1 (* 2 y))) x) (/ (* (pow y 2) (+ 1 y)) (pow x 2))))))) x) |
(/ (+ y (* -1 (/ (* y (+ 1 (* 2 y))) x))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ 1 (* 2 y)) 2))) (* (pow y 2) (+ 1 y))) (pow x 2)))) (/ (* y (+ 1 (* 2 y))) x)) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* (+ 1 (* 2 y)) (+ (* -1 (* y (pow (+ 1 (* 2 y)) 2))) (* (pow y 2) (+ 1 y))))) (* -1 (* (pow y 2) (* (+ 1 y) (+ 1 (* 2 y)))))) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ 1 (* 2 y)) 2)) (pow x 2))) (+ (/ (* y (+ 1 (* 2 y))) x) (/ (* (pow y 2) (+ 1 y)) (pow x 2))))) (pow x 2)) |
(/ (+ y (* -1 (/ (pow y 2) x))) x) |
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x) |
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x) |
(pow x 3) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (/ 1 x) (/ y x))))) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (* 2 (/ (* y (+ 1 y)) (pow x 2))) (+ (/ 1 x) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (* 2 (/ (* y (+ 1 y)) (pow x 2))) (+ (/ 1 x) (+ (/ y x) (+ (/ (* (pow y 2) (+ 1 y)) (pow x 3)) (/ (pow y 2) (pow x 2))))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
y |
(+ y (* -1 (/ (* y (+ 1 (* 3 y))) x))) |
(/ (+ y (* -1 (/ (* y (+ 1 (* 3 y))) x))) (pow x 2)) |
(/ (+ y (/ (* y (+ (* -1 y) (* -1 (+ 1 (* 2 y))))) x)) (pow x 2)) |
(/ (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow (+ (* -1 y) (* -1 (+ 1 (* 2 y)))) 2)) x)) (/ (* y (+ (* y (+ 1 y)) (* y (+ 1 (* 2 y))))) x)) (* y (+ (* -1 y) (* -1 (+ 1 (* 2 y)))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (* (+ (* -1 y) (* -1 (+ 1 (* 2 y)))) (+ (* y (+ 1 y)) (* y (+ 1 (* 2 y)))))) x)) (+ (* -1 (/ (* (+ (* -1 y) (* -1 (+ 1 (* 2 y)))) (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 (* 2 y)))) 2))) (* y (+ (* y (+ 1 y)) (* y (+ 1 (* 2 y))))))) x)) (* -1 (/ (* (pow y 3) (+ 1 y)) x)))) (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 (* 2 y)))) 2))) (* y (+ (* y (+ 1 y)) (* y (+ 1 (* 2 y))))))) x)) (* y (+ (* -1 y) (* -1 (+ 1 (* 2 y)))))) x))) (pow x 2)) |
(* -1 (/ (+ y (/ (* y (+ (* -1 y) (* -1 (+ 1 y)))) x)) x)) |
(* -1 (/ (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2)) x)) (/ (* (pow y 2) (+ 1 y)) x)) (* y (+ (* -1 y) (* -1 (+ 1 y))))) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 y) (* -1 (+ 1 y))) (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2))) (* (pow y 2) (+ 1 y)))) x)) (* -1 (/ (* (pow y 2) (* (+ 1 y) (+ (* -1 y) (* -1 (+ 1 y))))) x))) (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2))) (* (pow y 2) (+ 1 y)))) x)) (* y (+ (* -1 y) (* -1 (+ 1 y))))) x))) x)) |
(/ (+ y (/ (* y (+ (* -1 y) (* -1 (+ 1 y)))) x)) (pow x 2)) |
(/ (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2)) x)) (/ (* (pow y 2) (+ 1 y)) x)) (* y (+ (* -1 y) (* -1 (+ 1 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 y) (* -1 (+ 1 y))) (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2))) (* (pow y 2) (+ 1 y)))) x)) (* -1 (/ (* (pow y 2) (* (+ 1 y) (+ (* -1 y) (* -1 (+ 1 y))))) x))) (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2))) (* (pow y 2) (+ 1 y)))) x)) (* y (+ (* -1 y) (* -1 (+ 1 y))))) x))) (pow x 2)) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (* 2 y))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))) x)) (* 2 y)))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (+ (* -1 (/ (* (pow y 2) (+ 1 y)) x)) (* -1 (pow y 2)))) x)) (* 2 y)))) x)) 1))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(/ y (* x (+ 1 x))) |
(* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (+ x (* 2 x))) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))) (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* -1 (/ y (+ 1 x))) |
(* y (- (* y (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))) |
(* y (- (* y (+ (* 2 (/ 1 (pow (+ 1 x) 2))) (+ (* y (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2))))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x)))) |
(* y (- (* y (+ (* 2 (/ 1 (pow (+ 1 x) 2))) (+ (* y (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (+ (* y (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (* -1 (/ (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (pow (+ 1 x) 2)))) (* x (+ 1 x)))))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x)))) |
(* y (+ (* -1 (* y (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (* -1 (/ (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (* x (+ 1 x))))))) (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x))) |
(* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))) |
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(* (pow x 2) (+ 1 x)) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x))) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (+ (* y (+ 1 (+ x (* 2 x)))) (pow x 2)))) (* (pow x 2) (+ 1 x))) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (+ (* y (+ 1 (+ x (+ y (* 2 x))))) (pow x 2)))) (* (pow x 2) (+ 1 x))) |
(+ (* 2 (* x y)) (pow x 2)) |
(+ (* y (+ y (* 2 x))) (pow x 2)) |
(* y (- 1 (/ 1 x))) |
(* y (- (+ 1 (* -3 (/ y x))) (/ 1 x))) |
(/ (* y (- 1 (/ 1 x))) (pow x 2)) |
(* y (- (+ (* -3 (/ y (pow x 3))) (/ 1 (pow x 2))) (/ 1 (pow x 3)))) |
(* y (+ (* 3 (/ y x)) (/ 1 x))) |
(* y (+ 1 (* 3 y))) |
(/ (+ x (* -1 (/ (* x (+ 1 (+ x (* 2 x)))) y))) (pow y 2)) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (pow (+ 1 (+ x (* 2 x))) 2))) (* x (+ (* 2 (* x (+ 1 x))) (pow x 2)))) (pow y 2)))) (/ (* x (+ 1 (+ x (* 2 x)))) y)) (pow y 2)) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (* (+ 1 (+ x (* 2 x))) (+ (* 2 (* x (+ 1 x))) (pow x 2))))) (+ (* -1 (* (+ 1 (+ x (* 2 x))) (+ (* -1 (* x (pow (+ 1 (+ x (* 2 x))) 2))) (* x (+ (* 2 (* x (+ 1 x))) (pow x 2)))))) (* (pow x 3) (+ 1 x)))) (pow y 3)))) (+ (* -1 (/ (* x (pow (+ 1 (+ x (* 2 x))) 2)) (pow y 2))) (+ (/ (* x (+ 1 (+ x (* 2 x)))) y) (/ (* x (+ (* 2 (* x (+ 1 x))) (pow x 2))) (pow y 2))))) (pow y 2)) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (/ (* x (+ 1 (* 2 x))) y)) y) |
(/ (+ (* -1 x) (+ (* -1 (/ (* x (pow (+ 1 (* 2 x)) 2)) (pow y 2))) (+ (/ (* x (+ 1 (* 2 x))) y) (/ (* (pow x 2) (+ 1 x)) (pow y 2))))) y) |
(/ (+ (* -1 x) (+ (* -1 (/ (* x (pow (+ 1 (* 2 x)) 2)) (pow y 2))) (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* -1 (* x (pow (+ 1 (* 2 x)) 2))) (* (pow x 2) (+ 1 x)))) (pow y 3))) (+ (* -1 (/ (* (pow x 2) (* (+ 1 x) (+ 1 (* 2 x)))) (pow y 3))) (+ (/ (* x (+ 1 (* 2 x))) y) (/ (* (pow x 2) (+ 1 x)) (pow y 2))))))) y) |
(/ 1 y) |
(/ (+ 1 (* -1 (/ (+ 1 (* 2 x)) y))) y) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 1 (* 2 x)) 2)) (* x (+ 1 x))) (pow y 2)))) (+ (* 2 (/ x y)) (/ 1 y))) y) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* x (* (+ 1 x) (+ 1 (* 2 x))))) (* -1 (* (+ 1 (* 2 x)) (+ (* -1 (pow (+ 1 (* 2 x)) 2)) (* x (+ 1 x)))))) (pow y 3)))) (+ (* -1 (/ (pow (+ 1 (* 2 x)) 2) (pow y 2))) (+ (* 2 (/ x y)) (+ (/ 1 y) (/ (* x (+ 1 x)) (pow y 2)))))) y) |
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) |
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) |
(pow y 3) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (/ 1 y) (/ x y))))) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (* 2 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 y) (+ (/ x y) (/ (pow x 2) (pow y 2)))))))) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (* 2 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 y) (+ (/ x y) (+ (/ (* (pow x 2) (+ 1 x)) (pow y 3)) (/ (pow x 2) (pow y 2))))))))) |
(* (pow y 2) (+ 1 (* 2 (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(* -3 (/ (pow y 2) x)) |
(* (pow y 2) (- (/ 1 y) (+ (* 3 (/ 1 x)) (/ 1 (* x y))))) |
(* -3 (/ (pow y 2) (pow x 3))) |
(* (pow y 2) (- (/ 1 (* (pow x 2) y)) (+ (/ 1 (* (pow x 3) y)) (* 3 (/ 1 (pow x 3)))))) |
(* 3 (/ (pow y 2) x)) |
(* (pow y 2) (+ (* 3 (/ 1 x)) (/ 1 (* x y)))) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ 1 y))) |
(/ (+ x (/ (* x (+ (* -1 x) (* -1 (+ 1 (* 2 x))))) y)) (pow y 2)) |
(/ (+ x (* -1 (/ (- (+ (* -1 (/ (* x (pow (+ (* -1 x) (* -1 (+ 1 (* 2 x)))) 2)) y)) (/ (* x (+ (* x (+ 1 x)) (* x (+ 1 (* 2 x))))) y)) (* x (+ (* -1 x) (* -1 (+ 1 (* 2 x)))))) y))) (pow y 2)) |
(/ (+ x (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (+ (* -1 x) (* -1 (+ 1 (* 2 x)))) (+ (* x (+ 1 x)) (* x (+ 1 (* 2 x)))))) y)) (+ (* -1 (/ (* (+ (* -1 x) (* -1 (+ 1 (* 2 x)))) (+ (* -1 (* x (pow (+ (* -1 x) (* -1 (+ 1 (* 2 x)))) 2))) (* x (+ (* x (+ 1 x)) (* x (+ 1 (* 2 x))))))) y)) (* -1 (/ (* (pow x 3) (+ 1 x)) y)))) (+ (* -1 (* x (pow (+ (* -1 x) (* -1 (+ 1 (* 2 x)))) 2))) (* x (+ (* x (+ 1 x)) (* x (+ 1 (* 2 x))))))) y)) (* x (+ (* -1 x) (* -1 (+ 1 (* 2 x)))))) y))) (pow y 2)) |
(* -1 (/ (+ x (/ (* x (+ (* -1 x) (* -1 (+ 1 x)))) y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (/ (* x (pow (+ (* -1 x) (* -1 (+ 1 x))) 2)) y)) (/ (* (pow x 2) (+ 1 x)) y)) (* x (+ (* -1 x) (* -1 (+ 1 x))))) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 x) (* -1 (+ 1 x))) (+ (* -1 (* x (pow (+ (* -1 x) (* -1 (+ 1 x))) 2))) (* (pow x 2) (+ 1 x)))) y)) (* -1 (/ (* (pow x 2) (* (+ 1 x) (+ (* -1 x) (* -1 (+ 1 x))))) y))) (+ (* -1 (* x (pow (+ (* -1 x) (* -1 (+ 1 x))) 2))) (* (pow x 2) (+ 1 x)))) y)) (* x (+ (* -1 x) (* -1 (+ 1 x))))) y))) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (+ 1 x))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ 1 x)) y)) (/ (pow (+ (* -1 x) (* -1 (+ 1 x))) 2) y)) (* -1 (+ (* -1 x) (* -1 (+ 1 x))))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 x) (* -1 (+ 1 x))) (+ (* -1 (* x (+ 1 x))) (pow (+ (* -1 x) (* -1 (+ 1 x))) 2))) y)) (/ (* x (* (+ 1 x) (+ (* -1 x) (* -1 (+ 1 x))))) y)) (+ (* -1 (* x (+ 1 x))) (pow (+ (* -1 x) (* -1 (+ 1 x))) 2))) y)) (* -1 (+ (* -1 x) (* -1 (+ 1 x))))) y)) 1) y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* x (* (+ 1 (+ x (* 2 x))) (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))))) (+ (* (+ 1 (+ x (* 2 x))) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) (* (pow x 3) (+ 1 x)))) y)) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (* 2 x))) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (+ (* -1 (/ (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))) y)) (* 2 x)))) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (+ (* -1 (/ (+ (* -2 (* x (+ 1 x))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (pow x 2)))) y)) (* 2 x)))) y)) 1))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(* (pow y 2) (- (* -1 (/ (- (/ 1 x) 1) y)) (* 3 (/ 1 x)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | y | @ | -inf | ((/ (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (neg (+ y x))) (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/ (/ y (+ y x)) (+ 1 (+ y x))) (/ y (+ y x)) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (* y y)) (* y y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ y x) x) (/ y x) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (- y (/ (* (+ (* 3 y) 1) y) x)) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (/ (* (+ (* 3 y) 1) y) x) (* (+ (* 3 y) 1) y)) |
| 11.0ms | y | @ | inf | ((/ (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (neg (+ y x))) (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/ (/ y (+ y x)) (+ 1 (+ y x))) (/ y (+ y x)) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (* y y)) (* y y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ y x) x) (/ y x) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (- y (/ (* (+ (* 3 y) 1) y) x)) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (/ (* (+ (* 3 y) 1) y) x) (* (+ (* 3 y) 1) y)) |
| 7.0ms | x | @ | -inf | ((/ (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (neg (+ y x))) (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/ (/ y (+ y x)) (+ 1 (+ y x))) (/ y (+ y x)) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (* y y)) (* y y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ y x) x) (/ y x) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (- y (/ (* (+ (* 3 y) 1) y) x)) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (/ (* (+ (* 3 y) 1) y) x) (* (+ (* 3 y) 1) y)) |
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| 4.0ms | x | @ | 0 | ((/ (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (neg (+ y x))) (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/ (/ y (+ y x)) (+ 1 (+ y x))) (/ y (+ y x)) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (* y y)) (* y y) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ y x) x) (/ y x) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (- y (/ (* (+ (* 3 y) 1) y) x)) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (/ (* (+ (* 3 y) 1) y) x) (* (+ (* 3 y) 1) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 956 | 5276 |
| 1 | 3399 | 4934 |
| 0 | 8806 | 4609 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
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(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (* 2 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 y) (+ (/ x y) (+ (/ (* (pow x 2) (+ 1 x)) (pow y 3)) (/ (pow x 2) (pow y 2))))))))) |
(* (pow y 2) (+ 1 (* 2 (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(* -3 (/ (pow y 2) x)) |
(* (pow y 2) (- (/ 1 y) (+ (* 3 (/ 1 x)) (/ 1 (* x y))))) |
(* -3 (/ (pow y 2) (pow x 3))) |
(* (pow y 2) (- (/ 1 (* (pow x 2) y)) (+ (/ 1 (* (pow x 3) y)) (* 3 (/ 1 (pow x 3)))))) |
(* 3 (/ (pow y 2) x)) |
(* (pow y 2) (+ (* 3 (/ 1 x)) (/ 1 (* x y)))) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (/ 1 y))) |
(/ (+ x (/ (* x (+ (* -1 x) (* -1 (+ 1 (* 2 x))))) y)) (pow y 2)) |
(/ (+ x (* -1 (/ (- (+ (* -1 (/ (* x (pow (+ (* -1 x) (* -1 (+ 1 (* 2 x)))) 2)) y)) (/ (* x (+ (* x (+ 1 x)) (* x (+ 1 (* 2 x))))) y)) (* x (+ (* -1 x) (* -1 (+ 1 (* 2 x)))))) y))) (pow y 2)) |
(/ (+ x (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (+ (* -1 x) (* -1 (+ 1 (* 2 x)))) (+ (* x (+ 1 x)) (* x (+ 1 (* 2 x)))))) y)) (+ (* -1 (/ (* (+ (* -1 x) (* -1 (+ 1 (* 2 x)))) (+ (* -1 (* x (pow (+ (* -1 x) (* -1 (+ 1 (* 2 x)))) 2))) (* x (+ (* x (+ 1 x)) (* x (+ 1 (* 2 x))))))) y)) (* -1 (/ (* (pow x 3) (+ 1 x)) y)))) (+ (* -1 (* x (pow (+ (* -1 x) (* -1 (+ 1 (* 2 x)))) 2))) (* x (+ (* x (+ 1 x)) (* x (+ 1 (* 2 x))))))) y)) (* x (+ (* -1 x) (* -1 (+ 1 (* 2 x)))))) y))) (pow y 2)) |
(* -1 (/ (+ x (/ (* x (+ (* -1 x) (* -1 (+ 1 x)))) y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (/ (* x (pow (+ (* -1 x) (* -1 (+ 1 x))) 2)) y)) (/ (* (pow x 2) (+ 1 x)) y)) (* x (+ (* -1 x) (* -1 (+ 1 x))))) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 x) (* -1 (+ 1 x))) (+ (* -1 (* x (pow (+ (* -1 x) (* -1 (+ 1 x))) 2))) (* (pow x 2) (+ 1 x)))) y)) (* -1 (/ (* (pow x 2) (* (+ 1 x) (+ (* -1 x) (* -1 (+ 1 x))))) y))) (+ (* -1 (* x (pow (+ (* -1 x) (* -1 (+ 1 x))) 2))) (* (pow x 2) (+ 1 x)))) y)) (* x (+ (* -1 x) (* -1 (+ 1 x))))) y))) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (+ 1 x))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ 1 x)) y)) (/ (pow (+ (* -1 x) (* -1 (+ 1 x))) 2) y)) (* -1 (+ (* -1 x) (* -1 (+ 1 x))))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 x) (* -1 (+ 1 x))) (+ (* -1 (* x (+ 1 x))) (pow (+ (* -1 x) (* -1 (+ 1 x))) 2))) y)) (/ (* x (* (+ 1 x) (+ (* -1 x) (* -1 (+ 1 x))))) y)) (+ (* -1 (* x (+ 1 x))) (pow (+ (* -1 x) (* -1 (+ 1 x))) 2))) y)) (* -1 (+ (* -1 x) (* -1 (+ 1 x))))) y)) 1) y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* x (* (+ 1 (+ x (* 2 x))) (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))))) (+ (* (+ 1 (+ x (* 2 x))) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) (* (pow x 3) (+ 1 x)))) y)) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (* 2 x))) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (+ (* -1 (/ (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))) y)) (* 2 x)))) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (+ (* -1 (/ (+ (* -2 (* x (+ 1 x))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (pow x 2)))) y)) (* 2 x)))) y)) 1))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(* (pow y 2) (- (* -1 (/ (- (/ 1 x) 1) y)) (* 3 (/ 1 x)))) |
| Outputs |
|---|
(/ x (* y (+ 1 y))) |
(/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) y) y)) |
(* x (+ (* -1 (* x (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(*.f64 (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (fma.f64 y y (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) y))) x) |
(* x (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y) y))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (fma.f64 y y (pow.f64 y #s(literal 3 binary64)))))) (fma.f64 y y (pow.f64 y #s(literal 3 binary64))))) x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (fma.f64 y y (pow.f64 y #s(literal 3 binary64))))))) x (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) y))) x) |
(* x (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1 (+ y (* 2 y))) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))) (+ (* 2 (* y (+ 1 y))) (pow y 2))) (* (pow y 2) (+ 1 y)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (fma.f64 y y (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y y (pow.f64 y #s(literal 3 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y) y))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (fma.f64 y y (pow.f64 y #s(literal 3 binary64)))))) (fma.f64 y y (pow.f64 y #s(literal 3 binary64))))) (fma.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) y) (*.f64 y y))) (fma.f64 y y (pow.f64 y #s(literal 3 binary64)))))) x (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y) y))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (fma.f64 y y (pow.f64 y #s(literal 3 binary64)))))) (fma.f64 y y (pow.f64 y #s(literal 3 binary64))))))) x (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (fma.f64 y y (pow.f64 y #s(literal 3 binary64))))))) x (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) y))) x) |
(* -1 (/ x (+ 1 y))) |
(/.f64 x (-.f64 #s(literal -1 binary64) y)) |
(* x (- (* x (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2))))) (/ 1 (+ 1 y)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y))) x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y))) x) |
(* x (- (* x (+ (* 2 (/ 1 (pow (+ 1 y) 2))) (+ (* x (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2))))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (+ 1 y)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) y #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y))) (*.f64 (+.f64 #s(literal 1 binary64) y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y))) x (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)))) x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y))) x) |
(* x (- (* x (+ (* 2 (/ 1 (pow (+ 1 y) 2))) (+ (* x (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (+ (* x (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (* -1 (/ (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2)))) (* y (+ 1 y)))))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (+ 1 y)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) y #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y))) (*.f64 (+.f64 #s(literal 1 binary64) y) y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) y #s(literal -1 binary64)) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) y #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y))) (*.f64 (+.f64 #s(literal 1 binary64) y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y))) (*.f64 (+.f64 #s(literal 1 binary64) y) y)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y))) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) x (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)))) x (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)))) x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y))) x) |
(/ 1 (+ 1 y)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
(+ (* -1 (* x (+ (* 2 (/ 1 (pow (+ 1 y) 2))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (+ 1 y))) |
(fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (+ (* 2 (/ 1 (pow (+ 1 y) 2))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (+ 1 y))) |
(fma.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) y #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y))) (*.f64 (+.f64 #s(literal 1 binary64) y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y))) x (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y))))) x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (* -1 (/ (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2)))) (* y (+ 1 y))))))) (+ (* -1 (/ (* (+ 1 (* 2 y)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (pow (+ 1 y) 2))))) (* y (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (+ (* 2 (/ 1 (pow (+ 1 y) 2))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (+ 1 y))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) y #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y))) (*.f64 (+.f64 #s(literal 1 binary64) y) y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) y #s(literal -1 binary64)) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) y #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y))) (*.f64 (+.f64 #s(literal 1 binary64) y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y))) (*.f64 (+.f64 #s(literal 1 binary64) y) y)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y))) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) x (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y))))) x (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y))))) x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y)))) |
(fma.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal -1 binary64) y)) x #s(literal 1 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y x) |
(/.f64 y x) |
(* x y) |
(*.f64 x y) |
(* (pow y 2) (+ 1 y)) |
(fma.f64 y y (pow.f64 y #s(literal 3 binary64))) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (pow y 2))) (* (pow y 2) (+ 1 y))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) y) (*.f64 y y)) x (fma.f64 y y (pow.f64 y #s(literal 3 binary64)))) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (+ (* x (+ 1 (+ y (* 2 y)))) (pow y 2)))) (* (pow y 2) (+ 1 y))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) x (fma.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) y) (*.f64 y y))) x (fma.f64 y y (pow.f64 y #s(literal 3 binary64)))) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (+ (* x (+ 1 (+ x (+ y (* 2 y))))) (pow y 2)))) (* (pow y 2) (+ 1 y))) |
(fma.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 3 binary64) y x) #s(literal 1 binary64)) x (fma.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) y) (*.f64 y y))) x (fma.f64 y y (pow.f64 y #s(literal 3 binary64)))) |
(pow y 2) |
(*.f64 y y) |
(+ (* 2 (* x y)) (pow y 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y) |
(+ (* x (+ x (* 2 y))) (pow y 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) |
(* -1 (/ (* y (+ 1 (* 3 y))) x)) |
(*.f64 (neg.f64 y) (/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) x)) |
(/ (- (* x y) (* y (+ 1 (* 3 y)))) x) |
(/.f64 (*.f64 y (-.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)))) x) |
(* -1 (/ (* y (+ 1 (* 3 y))) (pow x 3))) |
(*.f64 (neg.f64 y) (/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/ (+ (* -1 (* y (+ 1 (* 3 y)))) (* x y)) (pow x 3)) |
(/.f64 (*.f64 y (-.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(/ (* y (+ 1 (* 3 y))) x) |
(/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
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(/.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) y) (fma.f64 x (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) y) (/.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) x) y) |
(/ (+ (* -1 x) (+ (* -1 (/ (* x (pow (+ 1 (* 2 x)) 2)) (pow y 2))) (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* -1 (* x (pow (+ 1 (* 2 x)) 2))) (* (pow x 2) (+ 1 x)))) (pow y 3))) (+ (* -1 (/ (* (pow x 2) (* (+ 1 x) (+ 1 (* 2 x)))) (pow y 3))) (+ (/ (* x (+ 1 (* 2 x))) y) (/ (* (pow x 2) (+ 1 x)) (pow y 2))))))) y) |
(/.f64 (-.f64 (fma.f64 (neg.f64 x) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)) (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 x) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64))) (-.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) y) (/.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))))) x) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* -1 (/ (+ 1 (* 2 x)) y))) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) y)) y) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 1 (* 2 x)) 2)) (* x (+ 1 x))) (pow y 2)))) (+ (* 2 (/ x y)) (/ 1 y))) y) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 y y))) (fma.f64 (/.f64 x y) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))) y) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* x (* (+ 1 x) (+ 1 (* 2 x))))) (* -1 (* (+ 1 (* 2 x)) (+ (* -1 (pow (+ 1 (* 2 x)) 2)) (* x (+ 1 x)))))) (pow y 3)))) (+ (* -1 (/ (pow (+ 1 (* 2 x)) 2) (pow y 2))) (+ (* 2 (/ x y)) (+ (/ 1 y) (/ (* x (+ 1 x)) (pow y 2)))))) y) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x (fma.f64 (+.f64 #s(literal 1 binary64) x) x (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))))) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) (/.f64 x y) (fma.f64 (/.f64 x y) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 y y)))) y) |
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) |
(fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))) |
(pow y 3) |
(pow.f64 y #s(literal 3 binary64)) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (/ 1 y) (/ x y))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (* 2 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 y) (+ (/ x y) (/ (pow x 2) (pow y 2)))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x y) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) (/.f64 x y))) (fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)))) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (* 2 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 y) (+ (/ x y) (+ (/ (* (pow x 2) (+ 1 x)) (pow y 3)) (/ (pow x 2) (pow y 2))))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x y) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) (/.f64 x y))) (+.f64 (+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (+ 1 (* 2 (/ x y)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64))) y) y) |
(* -3 (/ (pow y 2) x)) |
(*.f64 #s(literal -3 binary64) (/.f64 (*.f64 y y) x)) |
(* (pow y 2) (- (/ 1 y) (+ (* 3 (/ 1 x)) (/ 1 (* x y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 3 binary64) x))) (*.f64 y y)) |
(* -3 (/ (pow y 2) (pow x 3))) |
(/.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow y 2) (- (/ 1 (* (pow x 2) y)) (+ (/ 1 (* (pow x 3) y)) (* 3 (/ 1 (pow x 3)))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) y) (+.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y))) (*.f64 y y)) |
(* 3 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 3 binary64)) |
(* (pow y 2) (+ (* 3 (/ 1 x)) (/ 1 (* x y)))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 3 binary64) x)) (*.f64 y y)) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) y) |
(* (pow y 2) (+ 3 (/ 1 y))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) y) y) |
(/ (+ x (/ (* x (+ (* -1 x) (* -1 (+ 1 (* 2 x))))) y)) (pow y 2)) |
(/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y)) |
(/ (+ x (* -1 (/ (- (+ (* -1 (/ (* x (pow (+ (* -1 x) (* -1 (+ 1 (* 2 x)))) 2)) y)) (/ (* x (+ (* x (+ 1 x)) (* x (+ 1 (* 2 x))))) y)) (* x (+ (* -1 x) (* -1 (+ 1 (* 2 x)))))) y))) (pow y 2)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x (/.f64 (*.f64 x (+.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))) y) (fma.f64 (neg.f64 x) (/.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)) y) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x))) y)) (*.f64 y y)) |
(/ (+ x (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (+ (* -1 x) (* -1 (+ 1 (* 2 x)))) (+ (* x (+ 1 x)) (* x (+ 1 (* 2 x)))))) y)) (+ (* -1 (/ (* (+ (* -1 x) (* -1 (+ 1 (* 2 x)))) (+ (* -1 (* x (pow (+ (* -1 x) (* -1 (+ 1 (* 2 x)))) 2))) (* x (+ (* x (+ 1 x)) (* x (+ 1 (* 2 x))))))) y)) (* -1 (/ (* (pow x 3) (+ 1 x)) y)))) (+ (* -1 (* x (pow (+ (* -1 x) (* -1 (+ 1 (* 2 x)))) 2))) (* x (+ (* x (+ 1 x)) (* x (+ 1 (* 2 x))))))) y)) (* x (+ (* -1 x) (* -1 (+ 1 (* 2 x)))))) y))) (pow y 2)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 x (+.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))) x (*.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)) (neg.f64 x))) y) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) (*.f64 x (+.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)))) y)) (fma.f64 (*.f64 x (+.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))) x (*.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)) (neg.f64 x)))) y) #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x)) y)) (*.f64 y y)) |
(* -1 (/ (+ x (/ (* x (+ (* -1 x) (* -1 (+ 1 x)))) y)) y)) |
(/.f64 (fma.f64 x (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) y) x) (neg.f64 y)) |
(* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (/ (* x (pow (+ (* -1 x) (* -1 (+ 1 x))) 2)) y)) (/ (* (pow x 2) (+ 1 x)) y)) (* x (+ (* -1 x) (* -1 (+ 1 x))))) y))) y)) |
(/.f64 (-.f64 x (/.f64 (-.f64 (fma.f64 (neg.f64 x) (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) y) (/.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) y)) (*.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) x)) y)) (neg.f64 y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 x) (* -1 (+ 1 x))) (+ (* -1 (* x (pow (+ (* -1 x) (* -1 (+ 1 x))) 2))) (* (pow x 2) (+ 1 x)))) y)) (* -1 (/ (* (pow x 2) (* (+ 1 x) (+ (* -1 x) (* -1 (+ 1 x))))) y))) (+ (* -1 (* x (pow (+ (* -1 x) (* -1 (+ 1 x))) 2))) (* (pow x 2) (+ 1 x)))) y)) (* x (+ (* -1 x) (* -1 (+ 1 x))))) y))) y)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 (fma.f64 (pow.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) (neg.f64 x) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) y) (-.f64 (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (neg.f64 y)) (fma.f64 (pow.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) (neg.f64 x) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))) y) #s(literal -1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) x)) y)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (+ 1 x))) y)) 1) y)) |
(/.f64 (-.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) y) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ 1 x)) y)) (/ (pow (+ (* -1 x) (* -1 (+ 1 x))) 2) y)) (* -1 (+ (* -1 x) (* -1 (+ 1 x))))) y)) 1) y)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) x) y) (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) y)) (+.f64 (+.f64 #s(literal 1 binary64) x) x)) y) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 x) (* -1 (+ 1 x))) (+ (* -1 (* x (+ 1 x))) (pow (+ (* -1 x) (* -1 (+ 1 x))) 2))) y)) (/ (* x (* (+ 1 x) (+ (* -1 x) (* -1 (+ 1 x))))) y)) (+ (* -1 (* x (+ 1 x))) (pow (+ (* -1 x) (* -1 (+ 1 x))) 2))) y)) (* -1 (+ (* -1 x) (* -1 (+ 1 x))))) y)) 1) y)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) (+.f64 #s(literal 1 binary64) x)) y) (-.f64 (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x (pow.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64))) y)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x (pow.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64))))) y) #s(literal -1 binary64) (-.f64 (-.f64 #s(literal -1 binary64) x) x)) y) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) #s(literal -1 binary64) x) y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1 binary64) (*.f64 x x)) y) #s(literal -1 binary64) x) y)) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x (/.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x)) x (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))) y)) y)) (*.f64 y y)) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* x (* (+ 1 (+ x (* 2 x))) (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))))) (+ (* (+ 1 (+ x (* 2 x))) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) (* (pow x 3) (+ 1 x)))) y)) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x (/.f64 (fma.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x)) x (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x)) x (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 y))) (neg.f64 y))) y)) (*.f64 y y)) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (* 2 x))) y)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) y) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (+ (* -1 (/ (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))) y)) (* 2 x)))) y)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 3 binary64) x (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))) (neg.f64 y))) #s(literal 1 binary64)) y) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (+ (* -1 (/ (+ (* -2 (* x (+ 1 x))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (pow x 2)))) y)) (* 2 x)))) y)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 3 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x)) x (neg.f64 (fma.f64 x x (/.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) y)))) (neg.f64 y))) #s(literal 1 binary64)) y) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 (neg.f64 x) x) y)) y)) (*.f64 y y)) |
(* (pow y 2) (- (* -1 (/ (- (/ 1 x) 1) y)) (* 3 (/ 1 x)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y) #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 y y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 233 |
| 0 | 70 | 219 |
| 1 | 314 | 217 |
| 2 | 2811 | 217 |
| 0 | 8457 | 217 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) (neg.f64 (+.f64 y x))) |
(*.f64 (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) |
(/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 y (+.f64 y x)) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
(/.f64 x (*.f64 y y)) |
(*.f64 y y) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) |
(/.f64 (/.f64 y x) x) |
(/.f64 y x) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 x y) |
(*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
#s(approx (* (+ x y) (+ x y)) (*.f64 y y)) |
(-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x))) |
(/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (-.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) (/.f64 y (+.f64 x y)))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x y)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x y))) (+.f64 x y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x y))) (+.f64 x y))) #s(literal -1 binary64))) |
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(-.f64 (/.f64 (*.f64 y y) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (/.f64 y x) y))) (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (/.f64 y x) y)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (/.f64 y x) y) (*.f64 y y)))) (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (/.f64 y x) y) (*.f64 y y))))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (/.f64 y x) y)) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (/.f64 y x) y)) (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (/.f64 y x) y) (*.f64 y y))) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (/.f64 y x) y) (*.f64 y y))) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 (neg.f64 x) x))) |
(-.f64 (/.f64 (/.f64 y x) x) (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) (pow.f64 x #s(literal -3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x))))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (/.f64 y x) x) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) (pow.f64 x #s(literal -3 binary64))))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y)) |
(*.f64 (*.f64 (neg.f64 y) (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64))) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (/.f64 y x)) |
(*.f64 (/.f64 y x) (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) |
(*.f64 y (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 y (/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) x)) |
(pow.f64 (/.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 y) (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64))) #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 y x))) (neg.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 y x))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 x y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 y) (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 y))) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -1 binary64)) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -1 binary64)) (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -1 binary64)) y)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -1 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 y))) (neg.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))) (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))) x))) |
(/.f64 (/.f64 (*.f64 (neg.f64 y) (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64))) #s(literal -1 binary64)) x) |
(/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 y x)) (fma.f64 #s(literal 3 binary64) y #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 y x)) (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 x y)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64))) (neg.f64 (/.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 y)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -1 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -1 binary64)) (/.f64 x y))) |
(/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -1 binary64)) y) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -1 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 y)) (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))) (/.f64 x y))) |
(/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) y) (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y)))) |
(/.f64 (*.f64 (neg.f64 y) (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x) |
(/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (/.f64 x y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y))) |
(neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (/.f64 (neg.f64 y) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (fma.f64 #s(literal 3 binary64) y #s(literal -1 binary64))) (/.f64 x y)) (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (/.f64 (neg.f64 y) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) |
(*.f64 y (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 (*.f64 #s(literal 3 binary64) y) y) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 #s(literal 1 binary64) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 #s(literal 3 binary64) y)) (*.f64 y (*.f64 #s(literal 3 binary64) y)) (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) y)) (*.f64 y #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) y)) (*.f64 y (*.f64 #s(literal 3 binary64) y))) (*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 #s(literal 3 binary64) y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 #s(literal 3 binary64) y) y))))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -1 binary64)) y)) (neg.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))))) |
(/.f64 (*.f64 y (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -1 binary64))) (fma.f64 #s(literal 3 binary64) y #s(literal -1 binary64))) |
(/.f64 (*.f64 y (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -1 binary64)) y) (fma.f64 #s(literal 3 binary64) y #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) y) (fma.f64 #s(literal 9 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
(fma.f64 y (*.f64 #s(literal 3 binary64) y) (*.f64 y #s(literal 1 binary64))) |
(fma.f64 y #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 3 binary64) y))) |
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 #s(literal 1 binary64) y)) |
(+.f64 (*.f64 y (*.f64 #s(literal 3 binary64) y)) (*.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 #s(literal 3 binary64) y))) |
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) |
Compiled 28 960 to 3 316 computations (88.5% saved)
31 alts after pruning (24 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 834 | 11 | 845 |
| Fresh | 5 | 13 | 18 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 840 | 31 | 871 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.3% | (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (*.f64 (/.f64 (+.f64 y x) x) (+.f64 y x))) |
| ✓ | 99.8% | (/.f64 (*.f64 (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) (neg.f64 (+.f64 y x))) |
| 55.3% | (/.f64 (*.f64 (/.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) (neg.f64 (+.f64 y x))) | |
| 93.9% | (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) | |
| ✓ | 70.4% | (/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| ✓ | 70.4% | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 46.9% | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| ✓ | 40.3% | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 38.5% | (/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 y) x)) (neg.f64 (+.f64 y x))) | |
| 42.9% | (/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 x) y)) (neg.f64 (+.f64 y x))) | |
| 47.7% | (/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 y (-.f64 #s(literal -1 binary64) x))) (neg.f64 (+.f64 y x))) | |
| 38.7% | (*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) | |
| 43.0% | (*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) | |
| 65.0% | (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) | |
| 48.5% | (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) | |
| 58.2% | (*.f64 y (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))))) | |
| 48.7% | (*.f64 y (/.f64 x #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))) | |
| 38.1% | #s(approx (/ (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (neg (+ y x))) (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y))) | |
| ✓ | 37.9% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) |
| 54.0% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) | |
| 42.7% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) | |
| ▶ | 37.9% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) x)) |
| 45.7% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) | |
| ▶ | 36.5% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
| ✓ | 52.4% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
| 52.4% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y))) | |
| ▶ | 37.2% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x))) |
| 33.6% | #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 y (/.f64 #s(approx (* (+ (* 3 y) 1) y) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) x)) (*.f64 x x))) | |
| ✓ | 41.0% | #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
| 42.2% | #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))) | |
| ▶ | 37.7% | #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x)))) |
Compiled 1 337 to 753 computations (43.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) | |
| cost-diff | 0 | #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x))) | |
| cost-diff | 0 | #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x)))) | |
| cost-diff | 2 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) x) | |
| cost-diff | 0 | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) x)) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (/.f64 x y)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) x) | |
| cost-diff | 0 | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 y (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (+.f64 y x)) | |
| cost-diff | 0 | (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) | |
| cost-diff | 1 | (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (*.f64 (/.f64 (+.f64 y x) x) (+.f64 y x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 272 |
| 0 | 66 | 266 |
| 1 | 154 | 266 |
| 2 | 388 | 262 |
| 3 | 1038 | 259 |
| 4 | 4214 | 256 |
| 5 | 5934 | 256 |
| 6 | 7020 | 256 |
| 0 | 8061 | 247 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (*.f64 (/.f64 (+.f64 y x) x) (+.f64 y x))) |
(/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
y |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
#s(literal 1 binary64) |
(+.f64 y x) |
x |
(*.f64 (/.f64 (+.f64 y x) x) (+.f64 y x)) |
(/.f64 (+.f64 y x) x) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
(/.f64 y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 x y) |
x |
y |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x)))) |
#s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) x) |
x |
(/.f64 y x) |
y |
| Outputs |
|---|
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (*.f64 (/.f64 (+.f64 y x) x) (+.f64 y x))) |
(/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) |
(/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
y |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
(+.f64 (+.f64 x y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(+.f64 y x) |
(+.f64 x y) |
x |
(*.f64 (/.f64 (+.f64 y x) x) (+.f64 y x)) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (+.f64 x y)) |
(/.f64 (+.f64 y x) x) |
(/.f64 (+.f64 x y) x) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
(/.f64 y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x)) |
(/.f64 y (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) x)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) x) |
(/.f64 y (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 y x) |
#s(literal 1 binary64) |
(/.f64 x y) |
x |
y |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (/.f64 (-.f64 y (/.f64 y x)) (*.f64 x x)))) |
#s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x))) |
#s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (/.f64 (-.f64 y (/.f64 y x)) (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x)) |
(/.f64 (-.f64 y (/.f64 y x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) x) |
x |
(/.f64 y x) |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0625 | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) | |
| accuracy | 0.5814718778779606 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x)) | |
| accuracy | 11.28852116098285 | #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x))) | |
| accuracy | 39.79940988332583 | #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x)))) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.09375 | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) x) | |
| accuracy | 0.4614073397375001 | (/.f64 #s(literal 1 binary64) (/.f64 x y)) | |
| accuracy | 39.725657064534325 | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) x)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.08984375 | (*.f64 (/.f64 x y) x) | |
| accuracy | 0.5266212567243851 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x)) | |
| accuracy | 39.725657064534325 | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 6.648780042194578 | (/.f64 y (*.f64 x x)) | |
| accuracy | 39.725657064534325 | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) | |
| accuracy | 0.0078125 | (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) | |
| accuracy | 0.01171875 | (/.f64 (+.f64 y x) x) | |
| accuracy | 0.10546875 | (*.f64 (/.f64 (+.f64 y x) x) (+.f64 y x)) | |
| accuracy | 0.3968428929950083 | (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (*.f64 (/.f64 (+.f64 y x) x) (+.f64 y x))) |
| 134.0ms | 256× | 0 | valid |
Compiled 212 to 39 computations (81.6% saved)
ival-div: 60.0ms (72.1% of total)ival-mult: 14.0ms (16.8% of total)ival-add: 6.0ms (7.2% of total)ival-sub: 2.0ms (2.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (*.f64 (/.f64 (+.f64 y x) x) (+.f64 y x))) |
(/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
(+.f64 y x) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
(/.f64 y (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 x y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) x) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x)) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x)))) |
#s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(*.f64 (/.f64 (+.f64 y x) x) (+.f64 y x)) |
(/.f64 (+.f64 y x) x) |
| Outputs |
|---|
(/ x (* y (+ 1 y))) |
(* x (+ (* -1 (* x (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(* x (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(* x (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1 (+ y (* 2 y))) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))) (+ (* 2 (* y (+ 1 y))) (pow y 2))) (* (pow y 2) (+ 1 y)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(/ y (+ 1 y)) |
(+ (* -1 (/ (* x y) (pow (+ 1 y) 2))) (/ y (+ 1 y))) |
(+ (* x (- (/ (* x y) (pow (+ 1 y) 3)) (/ y (pow (+ 1 y) 2)))) (/ y (+ 1 y))) |
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow (+ 1 y) 4))) (* -1 (/ y (pow (+ 1 y) 3))))) (/ y (pow (+ 1 y) 2)))) (/ y (+ 1 y))) |
(+ 1 y) |
(+ 1 (+ x y)) |
y |
(+ x y) |
(/ y (pow x 2)) |
(pow x 2) |
(/ (pow x 2) y) |
(/ x y) |
(/ y x) |
(* -1 (/ y (pow x 3))) |
(/ (+ (* -1 y) (* x y)) (pow x 3)) |
(* -1 (/ (* y (+ 1 (* 3 y))) (pow x 3))) |
(/ (+ (* -1 (* y (+ 1 (* 3 y)))) (* x y)) (pow x 3)) |
(/ -1 (pow x 2)) |
(/ (- x 1) (pow x 2)) |
(/ (pow y 2) x) |
(/ (+ (* 2 (* x y)) (pow y 2)) x) |
(/ (+ (* x (+ x (* 2 y))) (pow y 2)) x) |
(/ (+ x y) x) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))) (pow x 2)))) (/ (* y (+ 1 (+ y (* 2 y)))) x)) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (* (+ 1 (+ y (* 2 y))) (+ (* 2 (* y (+ 1 y))) (pow y 2))))) (+ (* -1 (* (+ 1 (+ y (* 2 y))) (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))))) (* (pow y 3) (+ 1 y)))) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ 1 (+ y (* 2 y))) 2)) (pow x 2))) (+ (/ (* y (+ 1 (+ y (* 2 y)))) x) (/ (* y (+ (* 2 (* y (+ 1 y))) (pow y 2))) (pow x 2))))) (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 y)) x))) x) |
(/ (- (+ y (/ (* y (pow (+ 1 y) 2)) (pow x 2))) (/ (* y (+ 1 y)) x)) x) |
(/ (- (+ y (* -1 (/ (* y (pow (+ 1 y) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ 1 y) 2)) (pow x 2))) (/ (* y (+ 1 y)) x))) x) |
x |
(* x (+ 1 (+ (/ 1 x) (/ y x)))) |
(* x (+ 1 (/ y x))) |
(/ (+ y (* -1 (/ y x))) (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (* 3 y))) x))) (pow x 2)) |
(/ 1 x) |
(/ (- 1 (/ 1 x)) x) |
(* x (+ 1 (* 2 (/ y x)))) |
(* x (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
1 |
(+ 1 (/ y x)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(* -1 (/ (+ (* -1 y) (/ (* y (+ 1 y)) x)) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (+ 1 y) 2)) x) (* y (+ 1 y))) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ 1 y) 3)) x) (* y (pow (+ 1 y) 2))) x)) (* y (+ 1 y))) x))) x)) |
(* -1 (* x (- (* -1 (/ (+ 1 y) x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (* x (- (* -2 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 y) (/ (pow y 2) x)) x)) 1))) |
(/ y (* x (+ 1 x))) |
(* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (+ x (* 2 x))) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))) (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(/ y (+ 1 x)) |
(* y (+ (* -1 (/ y (pow (+ 1 x) 2))) (/ 1 (+ 1 x)))) |
(* y (+ (* y (- (/ y (pow (+ 1 x) 3)) (/ 1 (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))) |
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow (+ 1 x) 4))) (/ 1 (pow (+ 1 x) 3)))) (/ 1 (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))) |
(+ 1 x) |
(/ (* y (- 1 (/ 1 x))) (pow x 2)) |
(* y (- (+ (* -3 (/ y (pow x 3))) (/ 1 (pow x 2))) (/ 1 (pow x 3)))) |
(+ x (* 2 y)) |
(+ x (* y (+ 2 (/ y x)))) |
(/ x (pow y 2)) |
(/ (+ x (* -1 (/ (* x (+ 1 (+ x (* 2 x)))) y))) (pow y 2)) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (pow (+ 1 (+ x (* 2 x))) 2))) (* x (+ (* 2 (* x (+ 1 x))) (pow x 2)))) (pow y 2)))) (/ (* x (+ 1 (+ x (* 2 x)))) y)) (pow y 2)) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (* (+ 1 (+ x (* 2 x))) (+ (* 2 (* x (+ 1 x))) (pow x 2))))) (+ (* -1 (* (+ 1 (+ x (* 2 x))) (+ (* -1 (* x (pow (+ 1 (+ x (* 2 x))) 2))) (* x (+ (* 2 (* x (+ 1 x))) (pow x 2)))))) (* (pow x 3) (+ 1 x)))) (pow y 3)))) (+ (* -1 (/ (* x (pow (+ 1 (+ x (* 2 x))) 2)) (pow y 2))) (+ (/ (* x (+ 1 (+ x (* 2 x)))) y) (/ (* x (+ (* 2 (* x (+ 1 x))) (pow x 2))) (pow y 2))))) (pow y 2)) |
(+ 1 (* -1 (/ (+ 1 x) y))) |
(- (+ 1 (/ (pow (+ 1 x) 2) (pow y 2))) (+ (/ 1 y) (/ x y))) |
(- (+ 1 (* -1 (/ (pow (+ 1 x) 3) (pow y 3)))) (+ (* -1 (/ (pow (+ 1 x) 2) (pow y 2))) (+ (/ 1 y) (/ x y)))) |
(* y (+ 1 (+ (/ 1 y) (/ x y)))) |
(* y (+ 1 (/ x y))) |
(* -3 (/ (pow y 2) (pow x 3))) |
(* (pow y 2) (- (/ 1 (* (pow x 2) y)) (+ (/ 1 (* (pow x 3) y)) (* 3 (/ 1 (pow x 3)))))) |
(* (pow y 2) (+ (/ 1 x) (* 2 (/ 1 y)))) |
(* (pow y 2) (+ (/ 1 x) (+ (* 2 (/ 1 y)) (/ x (pow y 2))))) |
(* y (+ (/ 1 x) (/ 1 y))) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* x (* (+ 1 (+ x (* 2 x))) (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))))) (+ (* (+ 1 (+ x (* 2 x))) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) (* (pow x 3) (+ 1 x)))) y)) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 1 x) 2) y)) (* -1 (+ 1 x))) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 x) 3) y)) (* -1 (pow (+ 1 x) 2))) y)) (* -1 (+ 1 x))) y))) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ x y)) 2) y)) (/ 1 x))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | x | @ | inf | ((/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/ y (+ 1 (+ y x))) (+ 1 (+ y x)) (+ y x) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ y (* x x)) (* x x) (/ 1 (* (/ x y) x)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* (/ x y) x) (/ x y) (/ 1 (/ x y)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ 1 (/ x y)) x) (* (/ (- 1 (/ 1 x)) x) (/ y x)) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (/ (- 1 (/ 1 x)) x) (* (/ (+ y x) x) (+ y x)) (/ (+ y x) x)) |
| 4.0ms | x | @ | -inf | ((/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/ y (+ 1 (+ y x))) (+ 1 (+ y x)) (+ y x) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ y (* x x)) (* x x) (/ 1 (* (/ x y) x)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* (/ x y) x) (/ x y) (/ 1 (/ x y)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ 1 (/ x y)) x) (* (/ (- 1 (/ 1 x)) x) (/ y x)) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (/ (- 1 (/ 1 x)) x) (* (/ (+ y x) x) (+ y x)) (/ (+ y x) x)) |
| 4.0ms | y | @ | 0 | ((/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/ y (+ 1 (+ y x))) (+ 1 (+ y x)) (+ y x) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ y (* x x)) (* x x) (/ 1 (* (/ x y) x)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* (/ x y) x) (/ x y) (/ 1 (/ x y)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ 1 (/ x y)) x) (* (/ (- 1 (/ 1 x)) x) (/ y x)) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (/ (- 1 (/ 1 x)) x) (* (/ (+ y x) x) (+ y x)) (/ (+ y x) x)) |
| 3.0ms | y | @ | -inf | ((/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/ y (+ 1 (+ y x))) (+ 1 (+ y x)) (+ y x) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ y (* x x)) (* x x) (/ 1 (* (/ x y) x)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* (/ x y) x) (/ x y) (/ 1 (/ x y)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ 1 (/ x y)) x) (* (/ (- 1 (/ 1 x)) x) (/ y x)) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (/ (- 1 (/ 1 x)) x) (* (/ (+ y x) x) (+ y x)) (/ (+ y x) x)) |
| 3.0ms | x | @ | 0 | ((/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/ y (+ 1 (+ y x))) (+ 1 (+ y x)) (+ y x) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ y (* x x)) (* x x) (/ 1 (* (/ x y) x)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* (/ x y) x) (/ x y) (/ 1 (/ x y)) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ (/ 1 (/ x y)) x) (* (/ (- 1 (/ 1 x)) x) (/ y x)) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (/ (- 1 (/ 1 x)) x) (* (/ (+ y x) x) (+ y x)) (/ (+ y x) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 470 | 2229 |
| 1 | 1595 | 2141 |
| 2 | 6153 | 2013 |
| 0 | 8573 | 1880 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (* y (+ 1 y))) |
(* x (+ (* -1 (* x (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(* x (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(* x (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1 (+ y (* 2 y))) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))) (+ (* 2 (* y (+ 1 y))) (pow y 2))) (* (pow y 2) (+ 1 y)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(/ y (+ 1 y)) |
(+ (* -1 (/ (* x y) (pow (+ 1 y) 2))) (/ y (+ 1 y))) |
(+ (* x (- (/ (* x y) (pow (+ 1 y) 3)) (/ y (pow (+ 1 y) 2)))) (/ y (+ 1 y))) |
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow (+ 1 y) 4))) (* -1 (/ y (pow (+ 1 y) 3))))) (/ y (pow (+ 1 y) 2)))) (/ y (+ 1 y))) |
(+ 1 y) |
(+ 1 (+ x y)) |
y |
(+ x y) |
(/ y (pow x 2)) |
(pow x 2) |
(/ (pow x 2) y) |
(/ x y) |
(/ y x) |
(* -1 (/ y (pow x 3))) |
(/ (+ (* -1 y) (* x y)) (pow x 3)) |
(* -1 (/ (* y (+ 1 (* 3 y))) (pow x 3))) |
(/ (+ (* -1 (* y (+ 1 (* 3 y)))) (* x y)) (pow x 3)) |
(/ -1 (pow x 2)) |
(/ (- x 1) (pow x 2)) |
(/ (pow y 2) x) |
(/ (+ (* 2 (* x y)) (pow y 2)) x) |
(/ (+ (* x (+ x (* 2 y))) (pow y 2)) x) |
(/ (+ x y) x) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))) (pow x 2)))) (/ (* y (+ 1 (+ y (* 2 y)))) x)) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (* (+ 1 (+ y (* 2 y))) (+ (* 2 (* y (+ 1 y))) (pow y 2))))) (+ (* -1 (* (+ 1 (+ y (* 2 y))) (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))))) (* (pow y 3) (+ 1 y)))) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ 1 (+ y (* 2 y))) 2)) (pow x 2))) (+ (/ (* y (+ 1 (+ y (* 2 y)))) x) (/ (* y (+ (* 2 (* y (+ 1 y))) (pow y 2))) (pow x 2))))) (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 y)) x))) x) |
(/ (- (+ y (/ (* y (pow (+ 1 y) 2)) (pow x 2))) (/ (* y (+ 1 y)) x)) x) |
(/ (- (+ y (* -1 (/ (* y (pow (+ 1 y) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ 1 y) 2)) (pow x 2))) (/ (* y (+ 1 y)) x))) x) |
x |
(* x (+ 1 (+ (/ 1 x) (/ y x)))) |
(* x (+ 1 (/ y x))) |
(/ (+ y (* -1 (/ y x))) (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (* 3 y))) x))) (pow x 2)) |
(/ 1 x) |
(/ (- 1 (/ 1 x)) x) |
(* x (+ 1 (* 2 (/ y x)))) |
(* x (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
1 |
(+ 1 (/ y x)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(* -1 (/ (+ (* -1 y) (/ (* y (+ 1 y)) x)) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (+ 1 y) 2)) x) (* y (+ 1 y))) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ 1 y) 3)) x) (* y (pow (+ 1 y) 2))) x)) (* y (+ 1 y))) x))) x)) |
(* -1 (* x (- (* -1 (/ (+ 1 y) x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (* x (- (* -2 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* 2 y) (/ (pow y 2) x)) x)) 1))) |
(/ y (* x (+ 1 x))) |
(* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (+ x (* 2 x))) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))) (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(/ y (+ 1 x)) |
(* y (+ (* -1 (/ y (pow (+ 1 x) 2))) (/ 1 (+ 1 x)))) |
(* y (+ (* y (- (/ y (pow (+ 1 x) 3)) (/ 1 (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))) |
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow (+ 1 x) 4))) (/ 1 (pow (+ 1 x) 3)))) (/ 1 (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))) |
(+ 1 x) |
(/ (* y (- 1 (/ 1 x))) (pow x 2)) |
(* y (- (+ (* -3 (/ y (pow x 3))) (/ 1 (pow x 2))) (/ 1 (pow x 3)))) |
(+ x (* 2 y)) |
(+ x (* y (+ 2 (/ y x)))) |
(/ x (pow y 2)) |
(/ (+ x (* -1 (/ (* x (+ 1 (+ x (* 2 x)))) y))) (pow y 2)) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (pow (+ 1 (+ x (* 2 x))) 2))) (* x (+ (* 2 (* x (+ 1 x))) (pow x 2)))) (pow y 2)))) (/ (* x (+ 1 (+ x (* 2 x)))) y)) (pow y 2)) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (* (+ 1 (+ x (* 2 x))) (+ (* 2 (* x (+ 1 x))) (pow x 2))))) (+ (* -1 (* (+ 1 (+ x (* 2 x))) (+ (* -1 (* x (pow (+ 1 (+ x (* 2 x))) 2))) (* x (+ (* 2 (* x (+ 1 x))) (pow x 2)))))) (* (pow x 3) (+ 1 x)))) (pow y 3)))) (+ (* -1 (/ (* x (pow (+ 1 (+ x (* 2 x))) 2)) (pow y 2))) (+ (/ (* x (+ 1 (+ x (* 2 x)))) y) (/ (* x (+ (* 2 (* x (+ 1 x))) (pow x 2))) (pow y 2))))) (pow y 2)) |
(+ 1 (* -1 (/ (+ 1 x) y))) |
(- (+ 1 (/ (pow (+ 1 x) 2) (pow y 2))) (+ (/ 1 y) (/ x y))) |
(- (+ 1 (* -1 (/ (pow (+ 1 x) 3) (pow y 3)))) (+ (* -1 (/ (pow (+ 1 x) 2) (pow y 2))) (+ (/ 1 y) (/ x y)))) |
(* y (+ 1 (+ (/ 1 y) (/ x y)))) |
(* y (+ 1 (/ x y))) |
(* -3 (/ (pow y 2) (pow x 3))) |
(* (pow y 2) (- (/ 1 (* (pow x 2) y)) (+ (/ 1 (* (pow x 3) y)) (* 3 (/ 1 (pow x 3)))))) |
(* (pow y 2) (+ (/ 1 x) (* 2 (/ 1 y)))) |
(* (pow y 2) (+ (/ 1 x) (+ (* 2 (/ 1 y)) (/ x (pow y 2))))) |
(* y (+ (/ 1 x) (/ 1 y))) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* x (* (+ 1 (+ x (* 2 x))) (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))))) (+ (* (+ 1 (+ x (* 2 x))) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) (* (pow x 3) (+ 1 x)))) y)) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 1 x) 2) y)) (* -1 (+ 1 x))) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 x) 3) y)) (* -1 (pow (+ 1 x) 2))) y)) (* -1 (+ 1 x))) y))) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ x y)) 2) y)) (/ 1 x))) |
| Outputs |
|---|
(/ x (* y (+ 1 y))) |
(/.f64 x (fma.f64 y y y)) |
(* x (+ (* -1 (* x (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y y)) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y y) y)) x (/.f64 x (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)))) x) |
(* x (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y) y))) (/.f64 (*.f64 (*.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y y) y)))) (*.f64 (fma.f64 y y y) y))) x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y y) y))))) x (/.f64 #s(literal 1 binary64) (fma.f64 y y y))) x) |
(* x (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1 (+ y (* 2 y))) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))) (+ (* 2 (* y (+ 1 y))) (pow y 2))) (* (pow y 2) (+ 1 y)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64) y)) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y) y))) (/.f64 (*.f64 (*.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y y) y)))) (*.f64 (fma.f64 y y y) y))) (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y y) y))) (/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) y))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y y) y)))) (*.f64 (fma.f64 y y y) y)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y) y))))) x (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y y) y))))) (/.f64 x (fma.f64 y y y))) |
(/ y (+ 1 y)) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+ (* -1 (/ (* x y) (pow (+ 1 y) 2))) (/ y (+ 1 y))) |
(fma.f64 (neg.f64 x) (/.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(+ (* x (- (/ (* x y) (pow (+ 1 y) 3)) (/ y (pow (+ 1 y) 2)))) (/ y (+ 1 y))) |
(fma.f64 (-.f64 (*.f64 (/.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) x) (/.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) x (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow (+ 1 y) 4))) (* -1 (/ y (pow (+ 1 y) 3))))) (/ y (pow (+ 1 y) 2)))) (/ y (+ 1 y))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) (/.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) x (/.f64 (neg.f64 y) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) x (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 (+ x y)) |
(+.f64 (+.f64 #s(literal 1 binary64) y) x) |
y |
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(+.f64 (/.f64 y x) #s(literal 1 binary64)) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x (*.f64 (neg.f64 x) (/.f64 (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64) (neg.f64 x)) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) y))) y)) (*.f64 y y)) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* x (* (+ 1 (+ x (* 2 x))) (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))))) (+ (* (+ 1 (+ x (* 2 x))) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) (* (pow x 3) (+ 1 x)))) y)) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x (/.f64 (fma.f64 (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64) (neg.f64 x)) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) x (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64) (neg.f64 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (+.f64 x x) (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) x))) (neg.f64 y))) (neg.f64 y))) y)) (*.f64 y y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 1 x) 2) y)) (* -1 (+ 1 x))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y)) y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 x) 3) y)) (* -1 (pow (+ 1 x) 2))) y)) (* -1 (+ 1 x))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y)) y)) y)) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) 1))) |
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) y) (neg.f64 y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x (neg.f64 y)) (neg.f64 y) y) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ x y)) 2) y)) (/ 1 x))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 x y)) y)) y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 244 |
| 0 | 66 | 222 |
| 1 | 322 | 222 |
| 2 | 3010 | 222 |
| 0 | 8374 | 220 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (*.f64 (/.f64 (+.f64 y x) x) (+.f64 y x))) |
(/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
(+.f64 y x) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
(/.f64 y (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 x y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) x) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x)) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x)))) |
#s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(*.f64 (/.f64 (+.f64 y x) x) (+.f64 y x)) |
(/.f64 (+.f64 y x) x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x) (neg.f64 y)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x) y) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x y) x) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x y) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 x y) x) (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x y) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 y (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 x y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 (*.f64 y (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 x y))) |
(*.f64 (/.f64 (*.f64 y (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 x y) (-.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (fma.f64 y y (*.f64 (neg.f64 x) x))) (-.f64 y x)) |
(*.f64 (/.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(*.f64 (*.f64 (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64))) y) (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal -2 binary64)) (pow.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (*.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (/.f64 (+.f64 x y) x)) (/.f64 (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 x y))) |
(*.f64 (/.f64 x (+.f64 (+.f64 x y) #s(literal 1 binary64))) (/.f64 y (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 y (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (/.f64 x (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 y (+.f64 x y)) (/.f64 (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 x y) x))) |
(*.f64 (/.f64 y (+.f64 x y)) (/.f64 x (*.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)))) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 (+.f64 x y) #s(literal 1 binary64))) x) |
(*.f64 (*.f64 y (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) (*.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal -2 binary64)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (pow.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal -2 binary64)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (*.f64 x y)) |
(*.f64 (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) y) (pow.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) x) (pow.f64 (+.f64 x y) #s(literal -2 binary64))) |
(*.f64 (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (/.f64 x (+.f64 x y))) |
(*.f64 (/.f64 x (+.f64 x y)) (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (*.f64 x y) (/.f64 (pow.f64 (+.f64 x y) #s(literal -2 binary64)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(*.f64 x (/.f64 (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (+.f64 x y))) |
(*.f64 x (*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))) |
(*.f64 x (/.f64 (/.f64 y (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (+.f64 (+.f64 x y) #s(literal 1 binary64))) (/.f64 y (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(*.f64 y (/.f64 (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x))) |
(*.f64 y (/.f64 x (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))) |
(*.f64 y (*.f64 (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(*.f64 y (*.f64 x (/.f64 (pow.f64 (+.f64 x y) #s(literal -2 binary64)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (*.f64 y (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) y) (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x y) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) y) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x y) x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) y) (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 y (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x))) (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 x y) (+.f64 x y))) (neg.f64 (*.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 y) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (/.f64 x (+.f64 x y)))) (neg.f64 (neg.f64 (+.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 y (/.f64 x (+.f64 x y)))) (neg.f64 (*.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (+.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (neg.f64 y))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (neg.f64 x))) (neg.f64 (neg.f64 (+.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 (+.f64 x y) x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 (neg.f64 y) (+.f64 (+.f64 x y) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (+.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64))) y)) (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) y))) (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (+.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) x))) (neg.f64 (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 y) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (neg.f64 x))) (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 y) (+.f64 (+.f64 x y) #s(literal 1 binary64))) x)) (neg.f64 (*.f64 (neg.f64 (+.f64 x y)) (+.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 y) (+.f64 (+.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x y) (neg.f64 (+.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) y) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (neg.f64 (+.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 (neg.f64 y) (+.f64 (+.f64 x y) #s(literal 1 binary64))))) (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (+.f64 (+.f64 x y) #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x)))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y)) (/.f64 (+.f64 x y) x)))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x) (+.f64 (+.f64 x y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) y) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (+.f64 x y)))) |
(/.f64 (neg.f64 (/.f64 x (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y))) |
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(/.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (+.f64 x y)) |
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(/.f64 (/.f64 (/.f64 y (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x y) x)) |
(/.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 (+.f64 x y) y) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
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(/.f64 x (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y))) |
(/.f64 x (*.f64 (+.f64 x y) (*.f64 (/.f64 (+.f64 x y) y) (+.f64 (+.f64 x y) #s(literal 1 binary64))))) |
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(/.f64 y (*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
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(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) y) (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) x))) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y) |
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(*.f64 y (pow.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y) #s(literal -1 binary64)) |
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(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal 1 binary64)) y)) #s(literal -1 binary64))) |
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(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (*.f64 (-.f64 y x) x)) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) x)) |
(/.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)) (*.f64 x (-.f64 y x))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 x (-.f64 x y))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 x y)))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(/.f64 (+.f64 x y) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (+.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 x y)) x)) |
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 x))) |
(-.f64 (/.f64 (*.f64 y y) (*.f64 x (-.f64 y x))) (/.f64 (*.f64 x x) (*.f64 x (-.f64 y x)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) x) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) x)) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) x) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (+.f64 x y) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal -1 binary64))) |
Compiled 35 159 to 4 105 computations (88.3% saved)
27 alts after pruning (19 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 149 | 5 | 1 154 |
| Fresh | 5 | 14 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 6 | 7 |
| Total | 1 158 | 27 | 1 185 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 (+.f64 (/.f64 y x) #s(literal 2 binary64)) y x))) | |
| 48.9% | (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) | |
| 55.3% | (/.f64 (*.f64 (/.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) (neg.f64 (+.f64 y x))) | |
| 93.9% | (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) | |
| ✓ | 70.4% | (/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| ✓ | 70.4% | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 46.9% | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| ✓ | 40.3% | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 38.5% | (/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 y) x)) (neg.f64 (+.f64 y x))) | |
| 42.9% | (/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 x) y)) (neg.f64 (+.f64 y x))) | |
| 47.7% | (/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 y (-.f64 #s(literal -1 binary64) x))) (neg.f64 (+.f64 y x))) | |
| 43.0% | (*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) | |
| 65.0% | (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) | |
| 48.7% | (*.f64 y (/.f64 x #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))) | |
| 42.7% | #s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 (/.f64 x y) y)) | |
| 45.7% | #s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 y (fma.f64 x x x))) | |
| 38.1% | #s(approx (/ (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (neg (+ y x))) (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y))) | |
| ✓ | 37.9% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) |
| 54.0% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) | |
| ✓ | 36.5% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
| ✓ | 52.4% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
| 52.4% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y))) | |
| ✓ | 37.2% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x))) |
| 33.6% | #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 y (/.f64 #s(approx (* (+ (* 3 y) 1) y) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) x)) (*.f64 x x))) | |
| ✓ | 41.0% | #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
| 42.2% | #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))) | |
| 37.9% | #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 #s(approx (/ (- 1 (/ 1 x)) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 y x)))) |
Compiled 1 913 to 590 computations (69.2% saved)
| Inputs |
|---|
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 #s(approx (/ (- 1 (/ 1 x)) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 y x)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x))) |
(*.f64 y (/.f64 x #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 x) y)) (neg.f64 (+.f64 y x))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 y) x)) (neg.f64 (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 y (-.f64 #s(literal -1 binary64) x))) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) x)) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(*.f64 y (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 y (/.f64 #s(approx (* (+ (* 3 y) 1) y) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) x)) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) (neg.f64 (+.f64 y x))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x))) |
#s(approx (/ (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (neg (+ y x))) (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y))) |
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) |
(*.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 x (+.f64 y x))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (fma.f64 (fma.f64 x x x) (fma.f64 #s(literal 2 binary64) y x) (*.f64 (*.f64 x x) y)))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (fma.f64 (fma.f64 y y y) (fma.f64 #s(literal 2 binary64) x y) (*.f64 (*.f64 y x) y)))) |
(/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y)) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 (+.f64 (/.f64 y x) #s(literal 2 binary64)) y x))) |
(*.f64 (/.f64 (*.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (*.f64 (/.f64 (+.f64 y x) x) (+.f64 y x))) |
(/.f64 (*.f64 (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) (neg.f64 (+.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 y x) x) (+.f64 y x)) (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -2 binary64)) (*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(*.f64 (/.f64 y (+.f64 y x)) (*.f64 (/.f64 x (+.f64 y x)) (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
3 calls:
| 23.0ms | y |
| 15.0ms | x |
| 13.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 #s(approx (/ (- 1 (/ 1 x)) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 y x)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x))) |
(*.f64 y (/.f64 x #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 x) y)) (neg.f64 (+.f64 y x))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 y) x)) (neg.f64 (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 y (-.f64 #s(literal -1 binary64) x))) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) x)) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(*.f64 y (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 y (/.f64 #s(approx (* (+ (* 3 y) 1) y) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) x)) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) (neg.f64 (+.f64 y x))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x))) |
#s(approx (/ (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (neg (+ y x))) (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y))) |
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) |
(*.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 x (+.f64 y x))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (fma.f64 (fma.f64 x x x) (fma.f64 #s(literal 2 binary64) y x) (*.f64 (*.f64 x x) y)))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (fma.f64 (fma.f64 y y y) (fma.f64 #s(literal 2 binary64) x y) (*.f64 (*.f64 y x) y)))) |
(/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y)) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 (+.f64 (/.f64 y x) #s(literal 2 binary64)) y x))) |
(*.f64 (/.f64 (*.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
| Outputs |
|---|
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 (+.f64 (/.f64 y x) #s(literal 2 binary64)) y x))) |
3 calls:
| 37.0ms | x |
| 35.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | y |
| 99.3% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 #s(approx (/ (- 1 (/ 1 x)) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 y x)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x))) |
(*.f64 y (/.f64 x #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 x) y)) (neg.f64 (+.f64 y x))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 y) x)) (neg.f64 (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 y (-.f64 #s(literal -1 binary64) x))) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) x)) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(*.f64 y (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 y (/.f64 #s(approx (* (+ (* 3 y) 1) y) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) x)) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) (neg.f64 (+.f64 y x))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x))) |
#s(approx (/ (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (neg (+ y x))) (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y))) |
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) |
(*.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 x (+.f64 y x))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (fma.f64 (fma.f64 x x x) (fma.f64 #s(literal 2 binary64) y x) (*.f64 (*.f64 x x) y)))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (fma.f64 (fma.f64 y y y) (fma.f64 #s(literal 2 binary64) x y) (*.f64 (*.f64 y x) y)))) |
(/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y)) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
3 calls:
| 40.0ms | y |
| 12.0ms | x |
| 11.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 2 | x |
| 96.7% | 2 | y |
| 93.9% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 #s(approx (/ (- 1 (/ 1 x)) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 y x)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x))) |
(*.f64 y (/.f64 x #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 x) y)) (neg.f64 (+.f64 y x))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 y) x)) (neg.f64 (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 y (-.f64 #s(literal -1 binary64) x))) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) x)) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(*.f64 y (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 y (/.f64 #s(approx (* (+ (* 3 y) 1) y) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) x)) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) (neg.f64 (+.f64 y x))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x))) |
#s(approx (/ (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (neg (+ y x))) (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y))) |
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) |
(*.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 x (+.f64 y x))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (fma.f64 (fma.f64 x x x) (fma.f64 #s(literal 2 binary64) y x) (*.f64 (*.f64 x x) y)))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (fma.f64 (fma.f64 y y y) (fma.f64 #s(literal 2 binary64) x y) (*.f64 (*.f64 y x) y)))) |
(/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y)) |
| Outputs |
|---|
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
2 calls:
| 39.0ms | y |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 2 | x |
| 96.1% | 2 | y |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 #s(approx (/ (- 1 (/ 1 x)) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 y x)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x))) |
(*.f64 y (/.f64 x #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 x) y)) (neg.f64 (+.f64 y x))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 y) x)) (neg.f64 (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 y (-.f64 #s(literal -1 binary64) x))) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) x)) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(*.f64 y (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 y (/.f64 #s(approx (* (+ (* 3 y) 1) y) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) x)) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) (neg.f64 (+.f64 y x))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x))) |
#s(approx (/ (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (neg (+ y x))) (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y))) |
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) |
(*.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 x (+.f64 y x))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (fma.f64 (fma.f64 x x x) (fma.f64 #s(literal 2 binary64) y x) (*.f64 (*.f64 x x) y)))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (fma.f64 (fma.f64 y y y) (fma.f64 #s(literal 2 binary64) x y) (*.f64 (*.f64 y x) y)))) |
(/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) |
(*.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 x (+.f64 y x))) |
1 calls:
| 61.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 #s(approx (/ (- 1 (/ 1 x)) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 y x)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x))) |
(*.f64 y (/.f64 x #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 x) y)) (neg.f64 (+.f64 y x))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 y) x)) (neg.f64 (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 y (-.f64 #s(literal -1 binary64) x))) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) x)) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(*.f64 y (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 y (/.f64 #s(approx (* (+ (* 3 y) 1) y) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) x)) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) (neg.f64 (+.f64 y x))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 y x)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x))) |
#s(approx (/ (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (neg (+ y x))) (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y))) |
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) |
| Outputs |
|---|
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) (neg.f64 (+.f64 y x))) |
3 calls:
| 10.0ms | x |
| 10.0ms | y |
| 9.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.8% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 89.4% | 3 | y |
| 88.1% | 3 | x |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 #s(approx (/ (- 1 (/ 1 x)) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 y x)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x))) |
(*.f64 y (/.f64 x #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 x) y)) (neg.f64 (+.f64 y x))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 y) x)) (neg.f64 (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 y (-.f64 #s(literal -1 binary64) x))) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) x)) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(*.f64 y (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (-.f64 y (/.f64 #s(approx (* (+ (* 3 y) 1) y) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) x)) (*.f64 x x))) |
| Outputs |
|---|
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 x) y)) (neg.f64 (+.f64 y x))) |
1 calls:
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.3% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 #s(approx (/ (- 1 (/ 1 x)) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 y x)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x))) |
(*.f64 y (/.f64 x #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 x) y)) (neg.f64 (+.f64 y x))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 y) x)) (neg.f64 (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 y (-.f64 #s(literal -1 binary64) x))) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) x)) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(*.f64 y (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) |
(*.f64 y (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) |
2 calls:
| 12.0ms | x |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.4% | 3 | x |
| 83.7% | 2 | y |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 #s(approx (/ (- 1 (/ 1 x)) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 y x)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x))) |
(*.f64 y (/.f64 x #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 x) y)) (neg.f64 (+.f64 y x))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 y) x)) (neg.f64 (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 y (-.f64 #s(literal -1 binary64) x))) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) x)) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
| Outputs |
|---|
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) |
2 calls:
| 8.0ms | x |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.7% | 2 | y |
| 83.1% | 2 | x |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 #s(approx (/ (- 1 (/ 1 x)) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 y x)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x))) |
(*.f64 y (/.f64 x #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 x) y)) (neg.f64 (+.f64 y x))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 y) x)) (neg.f64 (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 y (-.f64 #s(literal -1 binary64) x))) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 y y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) x)) |
| Outputs |
|---|
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 y (-.f64 #s(literal -1 binary64) x))) (neg.f64 (+.f64 y x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) |
1 calls:
| 37.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 2 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 #s(approx (/ (- 1 (/ 1 x)) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 y x)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x))) |
(*.f64 y (/.f64 x #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 x) y)) (neg.f64 (+.f64 y x))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 y) x)) (neg.f64 (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 y) x)) (neg.f64 (+.f64 y x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) |
2 calls:
| 6.0ms | y |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.8% | 2 | x |
| 82.4% | 2 | y |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) #s(approx (/ (- y (/ (* (+ (* 3 y) 1) y) x)) (* x x)) (*.f64 #s(approx (/ (- 1 (/ 1 x)) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 y x)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x))) |
(*.f64 y (/.f64 x #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y)))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 x) y)) (neg.f64 (+.f64 y x))) |
| Outputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) |
1 calls:
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 (/.f64 x y) y)) |
| Outputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y))) |
2 calls:
| 4.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.4% | 3 | y |
| 82.1% | 2 | x |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
| Outputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
2 calls:
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.4% | 3 | y |
| 80.0% | 2 | x |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y))) |
| Outputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y))) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.4% | 2 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ y (+ 1 (+ y x))) (* (/ (+ y x) x) (+ y x))) (/.f64 y (fma.f64 x x x))) |
| Outputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
1 calls:
| 19.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.4% | 2 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
| Outputs |
|---|
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
2 calls:
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.9% | 2 | x |
| 73.4% | 2 | y |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
| Outputs |
|---|
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.7% | 2 | y |
| 41.0% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 68.6% | 2 | x |
Compiled 19 to 13 computations (31.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
| Outputs |
|---|
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
2 calls:
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.0% | 1 | x |
| 41.0% | 1 | y |
Compiled 2 to 4 computations (-100% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 1.8873313938280617e+98 | 5.543896886956685e+99 |
| 6.0ms | 112× | 0 | valid |
Compiled 286 to 175 computations (38.8% saved)
ival-mult: 2.0ms (51.2% of total)ival-div: 1.0ms (25.6% of total)ival-add: 1.0ms (25.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | -5.0649115426114535e+147 | -7.018148569516031e+146 |
| 7.0ms | 96× | 0 | valid |
Compiled 254 to 158 computations (37.8% saved)
ival-add: 2.0ms (44.7% of total)ival-mult: 2.0ms (44.7% of total)ival-div: 1.0ms (22.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | -1.9426165414550874e+158 | -4.78792010245453e+157 |
| 5.0ms | 96× | 0 | valid |
Compiled 254 to 158 computations (37.8% saved)
ival-mult: 2.0ms (60% of total)ival-div: 1.0ms (30% of total)ival-add: 1.0ms (30% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 7.645928214445269e+94 | 5.234653904544987e+95 |
| 15.0ms | 9.288116370277183e-144 | 9.609012085091536e-135 |
| 14.0ms | 240× | 0 | valid |
Compiled 599 to 374 computations (37.6% saved)
ival-mult: 4.0ms (48.5% of total)ival-add: 2.0ms (24.2% of total)ival-div: 1.0ms (12.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 7.645928214445269e+94 | 5.234653904544987e+95 |
| 75.0ms | 9.288116370277183e-144 | 9.609012085091536e-135 |
| 4.0ms | 64× | 0 | valid |
Compiled 617 to 386 computations (37.4% saved)
ival-add: 1.0ms (45.6% of total)ival-mult: 1.0ms (45.6% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 45.0ms | -1.2661274888977592e-79 | -1.9555282732625813e-93 |
| 12.0ms | -2.3161207714047055e+131 | -9.824064959490207e+127 |
| 45.0ms | 288× | 0 | valid |
Compiled 878 to 546 computations (37.8% saved)
ival-mult: 5.0ms (51.1% of total)ival-add: 3.0ms (30.7% of total)ival-div: 2.0ms (20.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 2.930899311642353e-163 | 6.996079653332253e-162 |
| 8.0ms | 112× | 0 | valid |
Compiled 349 to 217 computations (37.8% saved)
ival-mult: 2.0ms (50.5% of total)ival-div: 1.0ms (25.3% of total)ival-add: 1.0ms (25.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.930899311642353e-163 | 6.996079653332253e-162 |
Compiled 370 to 238 computations (35.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | -1020589073218.8217 | -8.54938023157553e-7 |
| 12.0ms | 160× | 0 | valid |
Compiled 510 to 324 computations (36.5% saved)
ival-mult: 6.0ms (70.9% of total)ival-div: 1.0ms (11.8% of total)ival-add: 1.0ms (11.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1020589073218.8217 | -8.54938023157553e-7 |
Compiled 500 to 294 computations (41.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1020589073218.8217 | -8.54938023157553e-7 |
Compiled 500 to 284 computations (43.2% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 5.543896886956685e+99 | 3.5777231139378945e+101 |
| 63.0ms | 2.045576915496433e-158 | 7.154810114046222e-152 |
| 59.0ms | 160× | 0 | valid |
Compiled 509 to 284 computations (44.2% saved)
ival-mult: 52.0ms (94.4% of total)ival-div: 1.0ms (1.8% of total)ival-add: 1.0ms (1.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.045576915496433e-158 | 7.154810114046222e-152 |
Compiled 461 to 257 computations (44.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.045576915496433e-158 | 7.154810114046222e-152 |
Compiled 452 to 248 computations (45.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1020589073218.8217 | -8.54938023157553e-7 |
Compiled 490 to 274 computations (44.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 5.88661445810369e-8 | 1.5883028108230313e-7 |
| 7.0ms | 80× | 0 | valid |
Compiled 250 to 144 computations (42.4% saved)
ival-mult: 4.0ms (79.6% of total)ival-add: 1.0ms (19.9% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 143 | 960 |
| 1 | 235 | 960 |
| 2 | 469 | 958 |
| 3 | 1047 | 958 |
| 4 | 3270 | 958 |
| 5 | 5613 | 955 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 (+.f64 (/.f64 y x) #s(literal 2 binary64)) y x))) |
(if (<=.f64 y #s(literal 5500000000000000184599345714966002803571540051345850096500072109368287387284330070392622752481673216 binary64)) (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)))) |
(if (<=.f64 x #s(literal -5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(if (<=.f64 x #s(literal -49999999999999997643667726825605503998723091390929041589542693874892976119602893534497849501708255388193655030747466210492481655783901101005318643863821221888 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) (*.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 x (+.f64 y x)))) |
(if (<=.f64 y #s(literal 3075429351738513/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) (if (<=.f64 y #s(literal 80000000000000001617510330172475759086087705857148619291022148496640320399853144748695826202624 binary64)) (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (/.f64 (*.f64 (/.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) (neg.f64 (+.f64 y x))))) |
(if (<=.f64 y #s(literal 3075429351738513/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) (if (<=.f64 y #s(literal 160000000000000003235020660344951518172175411714297238582044296993280640799706289497391652405248 binary64)) (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 x) y)) (neg.f64 (+.f64 y x))))) |
(if (<=.f64 x #s(literal -4799999999999999745181190380623663720002857944147593720347037590294672254471508541050394605625322766707766351609685238764489670656 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) (if (<=.f64 x #s(literal -450559765389567/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) (*.f64 y (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)))) |
(if (<=.f64 y #s(literal 3495075369296735/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y))) |
(if (<=.f64 y #s(literal 3495075369296735/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 y (-.f64 #s(literal -1 binary64) x))) (neg.f64 (+.f64 y x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y))) |
(if (<=.f64 x #s(literal -1000000000000 binary64)) (/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 y) x)) (neg.f64 (+.f64 y x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y))) |
(if (<=.f64 x #s(literal -1000000000000 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y))) |
(if (<=.f64 x #s(literal -1000000000000 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y)))) |
(if (<=.f64 y #s(literal 4127771402148561/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) (if (<=.f64 y #s(literal 10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)))) |
(if (<=.f64 y #s(literal 4127771402148561/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y)))) |
(if (<=.f64 y #s(literal 4127771402148561/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y)))) |
(if (<=.f64 x #s(literal -1000000000000 binary64)) #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y)))) |
(if (<=.f64 y #s(literal 731966804844795/4722366482869645213696 binary64)) #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
| Outputs |
|---|
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 (+.f64 (/.f64 y x) #s(literal 2 binary64)) y x))) |
(if (<=.f64 y #s(literal 5500000000000000184599345714966002803571540051345850096500072109368287387284330070392622752481673216 binary64)) (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)))) |
(if (<=.f64 x #s(literal -5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(if (<=.f64 x #s(literal -49999999999999997643667726825605503998723091390929041589542693874892976119602893534497849501708255388193655030747466210492481655783901101005318643863821221888 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) (*.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 x (+.f64 y x)))) |
(if (<=.f64 y #s(literal 3075429351738513/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) (if (<=.f64 y #s(literal 80000000000000001617510330172475759086087705857148619291022148496640320399853144748695826202624 binary64)) (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (/.f64 (*.f64 (/.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (neg.f64 x)) (neg.f64 (+.f64 y x))))) |
(if (<=.f64 y #s(literal 3075429351738513/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) (if (<=.f64 y #s(literal 80000000000000001617510330172475759086087705857148619291022148496640320399853144748695826202624 binary64)) (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (/.f64 (*.f64 (/.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) x) (+.f64 y x)))) |
(if (<=.f64 y #s(literal 3075429351738513/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) (if (<=.f64 y #s(literal 160000000000000003235020660344951518172175411714297238582044296993280640799706289497391652405248 binary64)) (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 x) y)) (neg.f64 (+.f64 y x))))) |
(if (<=.f64 x #s(literal -4799999999999999745181190380623663720002857944147593720347037590294672254471508541050394605625322766707766351609685238764489670656 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) (if (<=.f64 x #s(literal -450559765389567/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) (*.f64 y (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)))) |
(if (<=.f64 x #s(literal -4799999999999999745181190380623663720002857944147593720347037590294672254471508541050394605625322766707766351609685238764489670656 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) (if (<=.f64 x #s(literal -450559765389567/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) (*.f64 y (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))))) #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)))) |
(if (<=.f64 y #s(literal 3495075369296735/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y))) |
(if (<=.f64 y #s(literal 3495075369296735/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (/ (+ y x) x) (+ y x)) (fma.f64 #s(literal 2 binary64) y x))) #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y))) |
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(if (<=.f64 x #s(literal -1000000000000 binary64)) (/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 y) x)) (neg.f64 (+.f64 y x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y))) |
(if (<=.f64 x #s(literal -1000000000000 binary64)) (/.f64 #s(approx (* (/ (/ y (+ y x)) (+ 1 (+ y x))) (neg x)) (/.f64 (neg.f64 y) x)) (neg.f64 (+.f64 y x))) #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y))) |
(if (<=.f64 x #s(literal -1000000000000 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y))) |
(if (<=.f64 x #s(literal -1000000000000 binary64)) #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (/.f64 y x) x)) #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y))) |
(if (<=.f64 x #s(literal -1000000000000 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 y x) x)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y)))) |
(if (<=.f64 x #s(literal -1000000000000 binary64)) #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (/.f64 y x) x)) #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (+.f64 (*.f64 y y) y)))) |
(if (<=.f64 y #s(literal 4127771402148561/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) (if (<=.f64 y #s(literal 10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)))) |
(if (<=.f64 y #s(literal 4127771402148561/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (fma.f64 x x x))) (if (<=.f64 y #s(literal 10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104 binary64)) #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (+.f64 (*.f64 y y) y))) #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 (/.f64 x y) y)))) |
(if (<=.f64 y #s(literal 4127771402148561/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (+.f64 (*.f64 y y) y)))) |
(if (<=.f64 y #s(literal 4127771402148561/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (fma.f64 x x x))) #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (+.f64 (*.f64 y y) y)))) |
(if (<=.f64 y #s(literal 4127771402148561/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y)))) |
(if (<=.f64 y #s(literal 4127771402148561/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (fma.f64 x x x))) #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (fma.f64 y y y)))) |
(if (<=.f64 x #s(literal -1000000000000 binary64)) #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y)))) |
(if (<=.f64 x #s(literal -1000000000000 binary64)) #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (fma.f64 y y y)))) |
(if (<=.f64 y #s(literal 731966804844795/4722366482869645213696 binary64)) #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 y (*.f64 x x))) #s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y)))) |
#s(approx (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/.f64 x (*.f64 y y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 409 | 2125 |
| 1 | 1442 | 2043 |
| 2 | 6254 | 1889 |
| 0 | 8274 | 1717 |
| 0 | 860 | 4181 |
| 1 | 3015 | 3963 |
| 0 | 8323 | 3681 |
| 0 | 470 | 2229 |
| 1 | 1595 | 2141 |
| 2 | 6153 | 2013 |
| 0 | 8573 | 1880 |
| 0 | 9 | 40 |
| 0 | 15 | 34 |
| 1 | 76 | 34 |
| 2 | 666 | 34 |
| 0 | 8909 | 34 |
| 0 | 956 | 5276 |
| 1 | 3399 | 4934 |
| 0 | 8806 | 4609 |
| 0 | 34 | 245 |
| 0 | 58 | 216 |
| 1 | 288 | 216 |
| 2 | 2352 | 216 |
| 0 | 8446 | 216 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 3 476 to 1 044 computations (70% saved)
Compiled 2 022 to 338 computations (83.3% saved)
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