
Time bar (total: 6.3s)
| 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 |
| 65.6% | 65.6% | 34.3% | 0.1% | 0% | 0% | 0% | 6 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 7 |
| 82% | 82% | 18% | 0.1% | 0% | 0% | 0% | 8 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 9 |
| 90.8% | 90.7% | 9.2% | 0.1% | 0% | 0% | 0% | 10 |
| 93.8% | 93.8% | 6.1% | 0.1% | 0% | 0% | 0% | 11 |
| 95.4% | 95.3% | 4.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 513.0ms | 8 256× | 0 | valid |
ival-mult: 160.0ms (51.4% of total)ival-add: 82.0ms (26.4% of total)ival-div: 55.0ms (17.7% of total)ival-true: 6.0ms (1.9% of total)exact: 5.0ms (1.6% of total)ival-assert: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 100 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | #s(literal 100 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) | o/n | 1 | 0 |
| ↳ | (*.f64 x #s(literal 100 binary64)) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 37.0ms | 512× | 0 | valid |
Compiled 59 to 28 computations (52.5% saved)
ival-div: 18.0ms (71.5% of total)ival-add: 3.0ms (11.9% of total)ival-mult: 3.0ms (11.9% 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 | 16 | 45 |
| 1 | 36 | 39 |
| 2 | 81 | 39 |
| 3 | 144 | 39 |
| 4 | 161 | 39 |
| 5 | 184 | 39 |
| 6 | 211 | 39 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 13 | 7 |
| 2 | 16 | 7 |
| 3 | 17 | 7 |
| 0 | 17 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.3% | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (*.f64 x #s(literal 100 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 13 | 16 |
| 2 | 16 | 16 |
| 3 | 17 | 16 |
| 0 | 17 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
(*.f64 x #s(literal 100 binary64)) |
x |
#s(literal 100 binary64) |
(+.f64 x y) |
y |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
(*.f64 x #s(literal 100 binary64)) |
(*.f64 #s(literal 100 binary64) x) |
x |
#s(literal 100 binary64) |
(+.f64 x y) |
(+.f64 y x) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.0 | (*.f64 x #s(literal 100 binary64)) | |
| accuracy | 0.44918251741718873 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| 11.0ms | 256× | 0 | valid |
Compiled 34 to 14 computations (58.8% saved)
ival-div: 2.0ms (38.9% of total)ival-mult: 2.0ms (38.9% of total)ival-add: 1.0ms (19.4% 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 x #s(literal 100 binary64)) (+.f64 x y)) |
(*.f64 x #s(literal 100 binary64)) |
(+.f64 x y) |
| Outputs |
|---|
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* 100 x) |
y |
(+ x y) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
x |
(* x (+ 1 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* y (+ 1 (/ x y))) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (* x 100) (+ x y)) (* x 100) (+ x y)) |
| 1.0ms | x | @ | inf | ((/ (* x 100) (+ x y)) (* x 100) (+ x y)) |
| 1.0ms | x | @ | 0 | ((/ (* x 100) (+ x y)) (* x 100) (+ x y)) |
| 1.0ms | y | @ | -inf | ((/ (* x 100) (+ x y)) (* x 100) (+ x y)) |
| 0.0ms | y | @ | inf | ((/ (* x 100) (+ x y)) (* x 100) (+ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 372 |
| 1 | 443 | 334 |
| 2 | 1348 | 322 |
| 3 | 6405 | 322 |
| 0 | 8086 | 296 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* 100 x) |
y |
(+ x y) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
x |
(* x (+ 1 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* y (+ 1 (/ x y))) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64)) y) x) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64)) (*.f64 y y)) x (/.f64 #s(literal 100 binary64) y)) x) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64)) y)) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
y |
(+ x y) |
(+.f64 y x) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) x) x) y (/.f64 #s(literal -100 binary64) x)) y #s(literal 100 binary64)) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) x) x) y (/.f64 #s(literal -100 binary64) x)) y #s(literal 100 binary64)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) x) x) y (/.f64 #s(literal -100 binary64) x)) y #s(literal 100 binary64)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64)) y) x) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x))) y) (*.f64 #s(literal 100 binary64) x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (fma.f64 #s(literal 100 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) x) x (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y))) y)) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64)) y) x) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x))) y) (*.f64 #s(literal 100 binary64) x)) y) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/.f64 (fma.f64 #s(literal 100 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) x) x (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y))) y)) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 29 | 13 |
| 2 | 165 | 13 |
| 3 | 1525 | 13 |
| 0 | 9534 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
(*.f64 x #s(literal 100 binary64)) |
(+.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 x (-.f64 y x)) #s(literal 100 binary64)) |
(*.f64 (/.f64 #s(literal -100 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (*.f64 (-.f64 y x) x)) |
(*.f64 (/.f64 #s(literal -100 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x)) |
(*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 y x)) |
(*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(*.f64 #s(literal -100 binary64) (/.f64 x (-.f64 y x))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -100 binary64) (-.f64 y x))) |
(*.f64 (/.f64 #s(literal -100 binary64) (-.f64 y x)) x) |
(*.f64 (-.f64 y x) (/.f64 (*.f64 #s(literal -100 binary64) x) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (*.f64 #s(literal -100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 #s(literal 100 binary64) (/.f64 x (-.f64 y x))) |
(*.f64 x (/.f64 #s(literal -100 binary64) (-.f64 y x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 (*.f64 #s(literal -100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 (*.f64 #s(literal -100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal -100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal -100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))) (-.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 (*.f64 #s(literal -100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal -100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal -100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal -100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 (*.f64 #s(literal -100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 (*.f64 #s(literal -100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal -100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 (*.f64 #s(literal -100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y)) (*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y)) (*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))) |
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(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 y x))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (-.f64 y x))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x)))) |
(+.f64 (neg.f64 y) (neg.f64 x)) |
(+.f64 (neg.f64 y) x) |
(+.f64 (neg.f64 x) (neg.f64 y)) |
(+.f64 (neg.f64 x) y) |
(+.f64 y (neg.f64 x)) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 10 503 to 1 021 computations (90.3% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 302 | 10 | 312 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 302 | 11 | 313 |
| Status | Accuracy | Program |
|---|---|---|
| 16.8% | (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) | |
| 10.9% | (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) | |
| ▶ | 45.5% | (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)) |
| ✓ | 99.3% | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| ▶ | 99.1% | (/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
| 99.1% | (/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))) | |
| 45.0% | (*.f64 (/.f64 x (-.f64 y x)) #s(literal 100 binary64)) | |
| ▶ | 54.3% | #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64))) |
| ▶ | 53.7% | #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64))) |
| 45.9% | #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) | |
| ▶ | 54.0% | #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
Compiled 295 to 214 computations (27.5% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 y) | |
| cost-diff | 0 | (*.f64 x #s(literal 100 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)) | |
| cost-diff | 3 | (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64))) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) | |
| cost-diff | 0 | #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) | |
| cost-diff | 0 | (*.f64 x #s(literal 100 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) | |
| cost-diff | 3 | (fma.f64 (/.f64 y x) x x) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 151 |
| 0 | 40 | 148 |
| 1 | 75 | 148 |
| 2 | 184 | 144 |
| 3 | 571 | 136 |
| 4 | 1684 | 136 |
| 5 | 5448 | 136 |
| 0 | 8176 | 136 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
(*.f64 x #s(literal 100 binary64)) |
x |
#s(literal 100 binary64) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
(fma.f64 (/.f64 y x) x x) |
(/.f64 y x) |
y |
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
#s(literal 100 binary64) |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal -100 binary64) |
#s(literal 100 binary64) |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) |
(fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) |
(/.f64 #s(literal 100 binary64) x) |
#s(literal 100 binary64) |
x |
y |
#s(literal -100 binary64) |
(/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)) |
(*.f64 x #s(literal 100 binary64)) |
x |
#s(literal 100 binary64) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) |
(sqrt.f64 y) |
y |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
(/.f64 (*.f64 #s(literal 100 binary64) x) #s(approx (+ x y) (+.f64 y x))) |
(*.f64 x #s(literal 100 binary64)) |
(*.f64 #s(literal 100 binary64) x) |
x |
#s(literal 100 binary64) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
#s(approx (+ x y) (+.f64 y x)) |
(fma.f64 (/.f64 y x) x x) |
(+.f64 y x) |
(/.f64 y x) |
y |
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
#s(literal 100 binary64) |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64))) |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal -100 binary64) |
#s(literal 100 binary64) |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) |
(fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) |
(/.f64 #s(literal 100 binary64) x) |
#s(literal 100 binary64) |
x |
y |
#s(literal -100 binary64) |
(/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)) |
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) |
(*.f64 x #s(literal 100 binary64)) |
(*.f64 #s(literal 100 binary64) x) |
x |
#s(literal 100 binary64) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) |
(+.f64 y x) |
(sqrt.f64 y) |
y |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x #s(literal 100 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.09375 | (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)) | |
| accuracy | 0.1171875 | (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) | |
| accuracy | 0.0390625 | (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) | |
| accuracy | 0.0546875 | (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) | |
| accuracy | 0.4936290755265127 | (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64)) | |
| accuracy | 14.462714390233945 | #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64))) | |
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.078125 | (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) | |
| accuracy | 14.520994651881592 | #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64))) | |
| accuracy | 14.334998840739912 | #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) | |
| accuracy | 0.0 | (*.f64 x #s(literal 100 binary64)) | |
| accuracy | 0.0 | #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) | |
| accuracy | 0.09375 | (/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) | |
| accuracy | 2.369541027184843 | (fma.f64 (/.f64 y x) x x) |
| 176.0ms | 139× | 0 | invalid |
| 18.0ms | 117× | 0 | valid |
Compiled 277 to 48 computations (82.7% saved)
ival-div: 163.0ms (90.5% of total)ival-mult: 9.0ms (5% of total)ival-add: 7.0ms (3.9% of total)ival-sqrt: 2.0ms (1.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 y x) x x) |
(/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
(*.f64 x #s(literal 100 binary64)) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(/.f64 y x) |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) |
(fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) |
(/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)) |
(sqrt.f64 y) |
| Outputs |
|---|
y |
(+ x y) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* 100 x) |
(* -100 (/ y x)) |
(/ (+ (* -100 y) (* 100 x)) x) |
(/ y x) |
(* 100 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -100 (* x y)) (* 100 (pow y 2))) (pow x 2)) |
(/ (+ (* 100 (pow y 2)) (* x (+ (* -100 y) (* 100 x)))) (pow x 2)) |
(* 100 (/ y (pow x 2))) |
(/ (+ (* -100 x) (* 100 y)) (pow x 2)) |
(* 100 (/ y x)) |
(/ (+ (* -100 x) (* 100 y)) x) |
x |
(* x (+ 1 (/ y x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(+ 100 (+ (* -100 (/ y x)) (* 100 (/ (pow y 2) (pow x 2))))) |
(/ -100 x) |
(/ (- (* 100 (/ y x)) 100) x) |
-100 |
(- (* 100 (/ y x)) 100) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (+ (* -100 (/ (pow y 2) x)) (* 100 y)) x))) |
(* -1 (/ (+ 100 (* -100 (/ y x))) x)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))) |
(sqrt y) |
(* y (+ 1 (/ x y))) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x)))) |
(* (pow y 2) (- (* 100 (/ 1 (pow x 2))) (* 100 (/ 1 (* x y))))) |
(* (pow y 2) (- (+ (* 100 (/ 1 (pow x 2))) (/ 100 (pow y 2))) (/ 100 (* x y)))) |
(* y (- (* 100 (/ 1 (pow x 2))) (* 100 (/ 1 (* x y))))) |
(* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y))))) |
(* (pow y 2) (+ (* -1 (/ (- (* 100 (/ 1 x)) (* 100 (/ 1 y))) y)) (* 100 (/ 1 (pow x 2))))) |
(* -1 (* y (- (* 100 (/ 1 (* x y))) (* 100 (/ 1 (pow x 2)))))) |
(* -1 (* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x))))) |
(* -1 (* y (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1) 2)))) |
(* -100 (/ x (* y (pow (sqrt -1) 2)))) |
(* -1 (/ (+ (* 100 (/ x (pow (sqrt -1) 2))) (* 100 (/ (pow x 2) (* y (pow (sqrt -1) 4))))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (pow x 2) (pow (sqrt -1) 4))) (* -100 (/ (pow x 3) (* y (pow (sqrt -1) 6))))) y)) (* 100 (/ x (pow (sqrt -1) 2)))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (pow x 2) (pow (sqrt -1) 4))) (* -1 (/ (+ (* 100 (/ (pow x 3) (pow (sqrt -1) 6))) (* 100 (/ (pow x 4) (* y (pow (sqrt -1) 8))))) y))) y)) (* 100 (/ x (pow (sqrt -1) 2)))) y)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | ((+ (* (/ y x) x) x) (/ (* x 100) (+ x y)) (* x 100) (+ x y) (/ (* x 100) (+ x y)) (/ (* x 100) (+ x y)) (+ (* (/ y x) -100) 100) (/ y x) (/ (* x 100) (+ x y)) (+ (* (/ (+ (* (/ 100 x) y) -100) x) y) 100) (/ (+ (* (/ 100 x) y) -100) x) (+ (* (/ 100 x) y) -100) (+ (* (sqrt y) (sqrt y)) x) (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (sqrt y)) |
| 3.0ms | x | @ | -inf | ((+ (* (/ y x) x) x) (/ (* x 100) (+ x y)) (* x 100) (+ x y) (/ (* x 100) (+ x y)) (/ (* x 100) (+ x y)) (+ (* (/ y x) -100) 100) (/ y x) (/ (* x 100) (+ x y)) (+ (* (/ (+ (* (/ 100 x) y) -100) x) y) 100) (/ (+ (* (/ 100 x) y) -100) x) (+ (* (/ 100 x) y) -100) (+ (* (sqrt y) (sqrt y)) x) (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (sqrt y)) |
| 2.0ms | x | @ | 0 | ((+ (* (/ y x) x) x) (/ (* x 100) (+ x y)) (* x 100) (+ x y) (/ (* x 100) (+ x y)) (/ (* x 100) (+ x y)) (+ (* (/ y x) -100) 100) (/ y x) (/ (* x 100) (+ x y)) (+ (* (/ (+ (* (/ 100 x) y) -100) x) y) 100) (/ (+ (* (/ 100 x) y) -100) x) (+ (* (/ 100 x) y) -100) (+ (* (sqrt y) (sqrt y)) x) (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (sqrt y)) |
| 2.0ms | y | @ | inf | ((+ (* (/ y x) x) x) (/ (* x 100) (+ x y)) (* x 100) (+ x y) (/ (* x 100) (+ x y)) (/ (* x 100) (+ x y)) (+ (* (/ y x) -100) 100) (/ y x) (/ (* x 100) (+ x y)) (+ (* (/ (+ (* (/ 100 x) y) -100) x) y) 100) (/ (+ (* (/ 100 x) y) -100) x) (+ (* (/ 100 x) y) -100) (+ (* (sqrt y) (sqrt y)) x) (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (sqrt y)) |
| 1.0ms | x | @ | inf | ((+ (* (/ y x) x) x) (/ (* x 100) (+ x y)) (* x 100) (+ x y) (/ (* x 100) (+ x y)) (/ (* x 100) (+ x y)) (+ (* (/ y x) -100) 100) (/ y x) (/ (* x 100) (+ x y)) (+ (* (/ (+ (* (/ 100 x) y) -100) x) y) 100) (/ (+ (* (/ 100 x) y) -100) x) (+ (* (/ 100 x) y) -100) (+ (* (sqrt y) (sqrt y)) x) (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (sqrt y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 240 | 790 |
| 1 | 752 | 724 |
| 2 | 2547 | 680 |
| 0 | 8786 | 632 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ x y) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* 100 x) |
(* -100 (/ y x)) |
(/ (+ (* -100 y) (* 100 x)) x) |
(/ y x) |
(* 100 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -100 (* x y)) (* 100 (pow y 2))) (pow x 2)) |
(/ (+ (* 100 (pow y 2)) (* x (+ (* -100 y) (* 100 x)))) (pow x 2)) |
(* 100 (/ y (pow x 2))) |
(/ (+ (* -100 x) (* 100 y)) (pow x 2)) |
(* 100 (/ y x)) |
(/ (+ (* -100 x) (* 100 y)) x) |
x |
(* x (+ 1 (/ y x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(+ 100 (+ (* -100 (/ y x)) (* 100 (/ (pow y 2) (pow x 2))))) |
(/ -100 x) |
(/ (- (* 100 (/ y x)) 100) x) |
-100 |
(- (* 100 (/ y x)) 100) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (+ (* -100 (/ (pow y 2) x)) (* 100 y)) x))) |
(* -1 (/ (+ 100 (* -100 (/ y x))) x)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))) |
(sqrt y) |
(* y (+ 1 (/ x y))) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x)))) |
(* (pow y 2) (- (* 100 (/ 1 (pow x 2))) (* 100 (/ 1 (* x y))))) |
(* (pow y 2) (- (+ (* 100 (/ 1 (pow x 2))) (/ 100 (pow y 2))) (/ 100 (* x y)))) |
(* y (- (* 100 (/ 1 (pow x 2))) (* 100 (/ 1 (* x y))))) |
(* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y))))) |
(* (pow y 2) (+ (* -1 (/ (- (* 100 (/ 1 x)) (* 100 (/ 1 y))) y)) (* 100 (/ 1 (pow x 2))))) |
(* -1 (* y (- (* 100 (/ 1 (* x y))) (* 100 (/ 1 (pow x 2)))))) |
(* -1 (* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x))))) |
(* -1 (* y (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1) 2)))) |
(* -100 (/ x (* y (pow (sqrt -1) 2)))) |
(* -1 (/ (+ (* 100 (/ x (pow (sqrt -1) 2))) (* 100 (/ (pow x 2) (* y (pow (sqrt -1) 4))))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (pow x 2) (pow (sqrt -1) 4))) (* -100 (/ (pow x 3) (* y (pow (sqrt -1) 6))))) y)) (* 100 (/ x (pow (sqrt -1) 2)))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (pow x 2) (pow (sqrt -1) 4))) (* -1 (/ (+ (* 100 (/ (pow x 3) (pow (sqrt -1) 6))) (* 100 (/ (pow x 4) (* y (pow (sqrt -1) 8))))) y))) y)) (* 100 (/ x (pow (sqrt -1) 2)))) y)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
| Outputs |
|---|
y |
(+ x y) |
(+.f64 x y) |
(* 100 (/ x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64)) y) x) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64)) (*.f64 y y)) x (/.f64 #s(literal 100 binary64) y)) x) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal -100 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64)) (*.f64 y y))) x (/.f64 #s(literal 100 binary64) y)) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* -100 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal -100 binary64)) |
(/ (+ (* -100 y) (* 100 x)) x) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(/ y x) |
(/.f64 y x) |
(* 100 (/ (pow y 2) (pow x 2))) |
(*.f64 (/.f64 (/.f64 #s(literal 100 binary64) x) x) (*.f64 y y)) |
(/ (+ (* -100 (* x y)) (* 100 (pow y 2))) (pow x 2)) |
(*.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 100 binary64) #s(literal -100 binary64)) x) y) |
(/ (+ (* 100 (pow y 2)) (* x (+ (* -100 y) (* 100 x)))) (pow x 2)) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 100 binary64) #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(* 100 (/ y (pow x 2))) |
(*.f64 (/.f64 (/.f64 y x) x) #s(literal 100 binary64)) |
(/ (+ (* -100 x) (* 100 y)) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal 100 binary64) #s(literal -100 binary64)) x) |
(* 100 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 100 binary64)) |
(/ (+ (* -100 x) (* 100 y)) x) |
(fma.f64 (/.f64 y x) #s(literal 100 binary64) #s(literal -100 binary64)) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 100 binary64) #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -100 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 100 binary64) #s(literal -100 binary64)) x) y #s(literal 100 binary64))) |
(+ 100 (+ (* -100 (/ y x)) (* 100 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 100 binary64) #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(/ -100 x) |
(/.f64 #s(literal -100 binary64) x) |
(/ (- (* 100 (/ y x)) 100) x) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal 100 binary64) #s(literal -100 binary64)) x) |
-100 |
#s(literal -100 binary64) |
(- (* 100 (/ y x)) 100) |
(fma.f64 (/.f64 y x) #s(literal 100 binary64) #s(literal -100 binary64)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 100 binary64) #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(-.f64 #s(literal 100 binary64) (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 y (fma.f64 y (/.f64 y x) (neg.f64 y))) x) (*.f64 #s(literal 100 binary64) y)) x)) |
(+ 100 (* -1 (/ (+ (* -100 (/ (pow y 2) x)) (* 100 y)) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 100 binary64) #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(* -1 (/ (+ 100 (* -100 (/ y x))) x)) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal 100 binary64) #s(literal -100 binary64)) x) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 100 binary64) #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) x) x) y (/.f64 #s(literal -100 binary64) x)) y #s(literal 100 binary64)) |
(- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal 100 binary64) #s(literal -100 binary64)) x) |
(sqrt y) |
(sqrt.f64 y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64)) y) x) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (fma.f64 x x (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y)) y) (*.f64 #s(literal 100 binary64) x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (fma.f64 #s(literal 100 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) x) x (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y)) y) |
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 #s(literal -100 binary64) x) (/.f64 #s(literal -100 binary64) y)) y) |
(* (pow y 2) (- (* 100 (/ 1 (pow x 2))) (* 100 (/ 1 (* x y))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -100 binary64) x) y) (/.f64 #s(literal -100 binary64) (*.f64 x x))) (*.f64 y y)) |
(* (pow y 2) (- (+ (* 100 (/ 1 (pow x 2))) (/ 100 (pow y 2))) (/ 100 (* x y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 100 binary64) x) x) (/.f64 (-.f64 (/.f64 #s(literal -100 binary64) y) (/.f64 #s(literal -100 binary64) x)) y)) y) y) |
(* y (- (* 100 (/ 1 (pow x 2))) (* 100 (/ 1 (* x y))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -100 binary64) x) y) (/.f64 #s(literal -100 binary64) (*.f64 x x))) y) |
(* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal -100 binary64) y) (/.f64 #s(literal -100 binary64) x)) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64)) y) x) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (fma.f64 x x (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y)) y) (*.f64 #s(literal 100 binary64) x)) y) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/.f64 (fma.f64 #s(literal 100 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) x) x (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y)) y) |
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal -100 binary64) x) (/.f64 #s(literal -100 binary64) y)) y) |
(* (pow y 2) (+ (* -1 (/ (- (* 100 (/ 1 x)) (* 100 (/ 1 y))) y)) (* 100 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 100 binary64) x) x) (/.f64 (-.f64 (/.f64 #s(literal -100 binary64) y) (/.f64 #s(literal -100 binary64) x)) y)) y) y) |
(* -1 (* y (- (* 100 (/ 1 (* x y))) (* 100 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -100 binary64) x) y) (/.f64 #s(literal -100 binary64) (*.f64 x x))) y) |
(* -1 (* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 #s(literal -100 binary64) y) (/.f64 #s(literal -100 binary64) x)) y) |
(* -1 (* y (pow (sqrt -1) 2))) |
y |
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1) 2)))) |
(fma.f64 (/.f64 x y) y y) |
(* -100 (/ x (* y (pow (sqrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(* -1 (/ (+ (* 100 (/ x (pow (sqrt -1) 2))) (* 100 (/ (pow x 2) (* y (pow (sqrt -1) 4))))) y)) |
(*.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 x y) (neg.f64 x)) (/.f64 #s(literal -100 binary64) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (pow x 2) (pow (sqrt -1) 4))) (* -100 (/ (pow x 3) (* y (pow (sqrt -1) 6))))) y)) (* 100 (/ x (pow (sqrt -1) 2)))) y)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 x (/.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) y)) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal -100 binary64) y) (*.f64 #s(literal 100 binary64) x)) y) |
(* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (pow x 2) (pow (sqrt -1) 4))) (* -1 (/ (+ (* 100 (/ (pow x 3) (pow (sqrt -1) 6))) (* 100 (/ (pow x 4) (* y (pow (sqrt -1) 8))))) y))) y)) (* 100 (/ x (pow (sqrt -1) 2)))) y)) |
(/.f64 (fma.f64 #s(literal 100 binary64) x (/.f64 (fma.f64 (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal -100 binary64) y) (*.f64 (*.f64 #s(literal -100 binary64) x) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) y)) y) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 127 |
| 0 | 40 | 121 |
| 1 | 161 | 121 |
| 2 | 1060 | 121 |
| 0 | 9188 | 121 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 y x) x x) |
(/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
(*.f64 x #s(literal 100 binary64)) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(/.f64 y x) |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) |
(fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) |
(/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)) |
(sqrt.f64 y) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y x) x) x)) (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y x) x) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y x) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y x) x) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y x) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y x) x) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 y x) x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 y x) x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 y x) x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 y x) x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))))) (-.f64 (*.f64 (/.f64 y x) x) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y x) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y x) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y x) x) x)) (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y x) x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y x) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y x) x) x)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y x) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y x) x) x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 y x) x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 y x) x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 y x) x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 y x) x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 y x) x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 y x) x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 y x) x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 y x) x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 y x) x) x)))) |
(/.f64 (neg.f64 (fma.f64 x x (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 y x) x x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 (/.f64 y x) x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y x) x) x)) (*.f64 (-.f64 (*.f64 (/.f64 y x) x) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (/.f64 y x) x) x) (-.f64 (*.f64 (/.f64 y x) x) x))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 y x) x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))) (*.f64 (fma.f64 x (fma.f64 (/.f64 y x) x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (fma.f64 (/.f64 y x) x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))) (fma.f64 x (fma.f64 (/.f64 y x) x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))))) |
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(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (neg.f64 x) x (*.f64 y (-.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)) |
(/.f64 (*.f64 (-.f64 x y) (-.f64 y x)) (neg.f64 (neg.f64 (-.f64 y x)))) |
(/.f64 (*.f64 (-.f64 x y) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 y (-.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(neg.f64 (-.f64 (neg.f64 x) y)) |
(fma.f64 (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (neg.f64 x))) |
(fma.f64 (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64)) x) |
(fma.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (neg.f64 x))) |
(fma.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64)) x) |
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (neg.f64 x))) |
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))) x) |
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 x))) |
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) x) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (neg.f64 x))) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 x y) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 y x))) |
(+.f64 (neg.f64 (neg.f64 x)) y) |
(+.f64 x y) |
(+.f64 y (neg.f64 (neg.f64 x))) |
(+.f64 y x) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 x x (*.f64 y y))) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) (fma.f64 y y (*.f64 x x))) (-.f64 y x)) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 100 binary64) (-.f64 x y)) x) |
(*.f64 #s(literal 100 binary64) (/.f64 x (-.f64 x y))) |
(*.f64 x (/.f64 #s(literal 100 binary64) (-.f64 x y))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 x x (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 x y) (-.f64 y x)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (-.f64 x y) (-.f64 y x))) (*.f64 (*.f64 (-.f64 x y) (-.f64 y x)) (-.f64 x y))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (-.f64 y x)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (-.f64 y x)) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x (-.f64 x y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 x (-.f64 x y)) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x (-.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))))) |
(/.f64 (*.f64 #s(literal -100 binary64) x) (-.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 x y)) |
(neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) (-.f64 x y))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 1/2 binary64)) |
(neg.f64 (sqrt.f64 y)) |
(sqrt.f64 y) |
(fabs.f64 (sqrt.f64 y)) |
(exp.f64 (/.f64 (log.f64 y) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 y))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y)))) |
Compiled 12 647 to 1 517 computations (88% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 400 | 3 | 403 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 403 | 11 | 414 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 16.8% | (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) |
| 10.9% | (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) | |
| ✓ | 45.5% | (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)) |
| ✓ | 99.3% | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| ▶ | 45.9% | (/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ (* (sqrt y) (sqrt y)) x) y)) |
| ▶ | 45.0% | (*.f64 (/.f64 x (-.f64 y x)) #s(literal 100 binary64)) |
| ▶ | 99.6% | (*.f64 (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) x) |
| ▶ | 45.9% | #s(approx (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
| ✓ | 54.3% | #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64))) |
| ✓ | 53.7% | #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64))) |
| ✓ | 54.0% | #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
Compiled 243 to 171 computations (29.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (-.f64 y x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 100 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 100 binary64) x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) | |
| cost-diff | 8 | (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (/.f64 x (-.f64 y x)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (-.f64 y x)) #s(literal 100 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt y) (sqrt y)) x) y) | |
| cost-diff | 0 | (*.f64 x #s(literal 100 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ (* (sqrt y) (sqrt y)) x) y)) | |
| cost-diff | 0 | (/.f64 #s(literal 100 binary64) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 100 binary64) y) x) | |
| cost-diff | 0 | #s(approx (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) | |
| cost-diff | 0 | #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) | |
| cost-diff | 0 | (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) x) | |
| cost-diff | 3 | (fma.f64 (/.f64 y x) x x) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 167 |
| 0 | 47 | 147 |
| 1 | 83 | 147 |
| 2 | 198 | 143 |
| 3 | 697 | 135 |
| 4 | 3985 | 135 |
| 5 | 7851 | 135 |
| 0 | 8175 | 135 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) x) |
(/.f64 #s(literal 100 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
#s(literal 100 binary64) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
(fma.f64 (/.f64 y x) x x) |
(/.f64 y x) |
y |
x |
#s(approx (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(/.f64 #s(literal 100 binary64) y) |
#s(literal 100 binary64) |
y |
x |
(/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ (* (sqrt y) (sqrt y)) x) y)) |
(*.f64 x #s(literal 100 binary64)) |
x |
#s(literal 100 binary64) |
#s(approx (+ (* (sqrt y) (sqrt y)) x) y) |
y |
(*.f64 (/.f64 x (-.f64 y x)) #s(literal 100 binary64)) |
(/.f64 x (-.f64 y x)) |
x |
(-.f64 y x) |
y |
#s(literal 100 binary64) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 100 binary64) x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(*.f64 #s(literal 100 binary64) x) |
#s(literal 100 binary64) |
x |
(pow.f64 (-.f64 y x) #s(literal 2 binary64)) |
(-.f64 y x) |
y |
#s(literal 2 binary64) |
(pow.f64 (-.f64 y x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) x) |
(/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ (* (sqrt y) (sqrt y)) x) (+.f64 y x))) |
(/.f64 #s(literal 100 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
(/.f64 #s(literal 100 binary64) #s(approx (+ (* (sqrt y) (sqrt y)) x) (+.f64 y x))) |
#s(literal 100 binary64) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
#s(approx (+ (* (sqrt y) (sqrt y)) x) (+.f64 y x)) |
(fma.f64 (/.f64 y x) x x) |
(+.f64 y x) |
(/.f64 y x) |
y |
x |
#s(approx (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(/.f64 #s(literal 100 binary64) y) |
#s(literal 100 binary64) |
y |
x |
(/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ (* (sqrt y) (sqrt y)) x) y)) |
(*.f64 (/.f64 x #s(approx (+ (* (sqrt y) (sqrt y)) x) y)) #s(literal 100 binary64)) |
(*.f64 x #s(literal 100 binary64)) |
x |
#s(literal 100 binary64) |
#s(approx (+ (* (sqrt y) (sqrt y)) x) y) |
y |
(*.f64 (/.f64 x (-.f64 y x)) #s(literal 100 binary64)) |
(/.f64 x (-.f64 y x)) |
x |
(-.f64 y x) |
y |
#s(literal 100 binary64) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) |
(*.f64 (/.f64 x (-.f64 y x)) #s(literal 100 binary64)) |
(*.f64 (*.f64 #s(literal 100 binary64) x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(*.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 100 binary64)) x) |
(*.f64 #s(literal 100 binary64) x) |
(*.f64 x #s(literal 100 binary64)) |
#s(literal 100 binary64) |
x |
(pow.f64 (-.f64 y x) #s(literal 2 binary64)) |
(-.f64 y x) |
y |
#s(literal 2 binary64) |
(pow.f64 (-.f64 y x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (pow.f64 (-.f64 y x) #s(literal 2 binary64)) | |
| accuracy | 0.01171875 | (pow.f64 (-.f64 y x) #s(literal 3 binary64)) | |
| accuracy | 1.6847917152135292 | (*.f64 (*.f64 #s(literal 100 binary64) x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) | |
| accuracy | 19.224546964250248 | (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) | |
| accuracy | 0.0 | (-.f64 y x) | |
| accuracy | 0.0078125 | (/.f64 x (-.f64 y x)) | |
| accuracy | 0.07421875 | (*.f64 (/.f64 x (-.f64 y x)) #s(literal 100 binary64)) | |
| accuracy | 0.0 | (*.f64 x #s(literal 100 binary64)) | |
| accuracy | 0.09375 | (/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ (* (sqrt y) (sqrt y)) x) y)) | |
| accuracy | 14.576964328851451 | #s(approx (+ (* (sqrt y) (sqrt y)) x) y) | |
| accuracy | 0.0 | (/.f64 #s(literal 100 binary64) y) | |
| accuracy | 0.11328125 | (*.f64 (/.f64 #s(literal 100 binary64) y) x) | |
| accuracy | 14.644969114031044 | #s(approx (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) | |
| accuracy | 0.0 | #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) | |
| accuracy | 0.08203125 | (*.f64 (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) x) | |
| accuracy | 2.369541027184843 | (fma.f64 (/.f64 y x) x x) |
| 28.0ms | 139× | 0 | invalid |
| 24.0ms | 117× | 0 | valid |
Compiled 306 to 59 computations (80.7% saved)
ival-mult: 14.0ms (38.9% of total)ival-div: 9.0ms (25% of total)ival-add: 4.0ms (11.1% of total)ival-pow: 4.0ms (11.1% of total)ival-sqrt: 2.0ms (5.6% of total)ival-pow2: 2.0ms (5.6% of total)ival-sub: 1.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 y x) x x) |
(*.f64 (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) x) |
(/.f64 #s(literal 100 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
#s(approx (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(/.f64 #s(literal 100 binary64) y) |
(/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ (* (sqrt y) (sqrt y)) x) y)) |
(*.f64 x #s(literal 100 binary64)) |
#s(approx (+ (* (sqrt y) (sqrt y)) x) y) |
(*.f64 (/.f64 x (-.f64 y x)) #s(literal 100 binary64)) |
(/.f64 x (-.f64 y x)) |
(-.f64 y x) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 100 binary64) x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(*.f64 #s(literal 100 binary64) x) |
(pow.f64 (-.f64 y x) #s(literal 2 binary64)) |
(pow.f64 (-.f64 y x) #s(literal 3 binary64)) |
| Outputs |
|---|
y |
(+ x y) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(/ 100 y) |
(+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))) |
(+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(* 100 x) |
(* x (+ (* 100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (+ (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (+ (* x (+ (* 100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(/ x y) |
(* x (+ (/ 1 y) (/ x (pow y 2)))) |
(* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))) |
(* x (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(+ y (* -1 x)) |
(* 100 (* x (pow y 2))) |
(* x (+ (* -200 (* x y)) (* 100 (pow y 2)))) |
(* x (+ (* 100 (pow y 2)) (* x (+ (* -200 y) (* 100 x))))) |
(pow y 2) |
(+ (* -2 (* x y)) (pow y 2)) |
(+ (* x (+ x (* -2 y))) (pow y 2)) |
(pow y 3) |
(+ (* x (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (pow y 3)) |
(+ (* x (+ (* -2 (pow y 2)) (+ (* -1 (pow y 2)) (* x (+ y (* 2 y)))))) (pow y 3)) |
(+ (* x (+ (* -2 (pow y 2)) (+ (* -1 (pow y 2)) (* x (+ y (+ (* -1 x) (* 2 y))))))) (pow y 3)) |
x |
(* x (+ 1 (/ y x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(/ 100 x) |
(/ (+ 100 (* -100 (/ y x))) x) |
(/ (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) x) |
(/ (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) x) |
-100 |
(- (* -100 (/ y x)) 100) |
(- (* -100 (/ (pow y 2) (pow x 2))) (+ 100 (* 100 (/ y x)))) |
(- (* -100 (/ (pow y 3) (pow x 3))) (+ 100 (+ (* 100 (/ y x)) (* 100 (/ (pow y 2) (pow x 2)))))) |
-1 |
(- (* -1 (/ y x)) 1) |
(- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) |
(- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* 100 (pow x 3)) |
(* (pow x 3) (+ 100 (* -200 (/ y x)))) |
(* (pow x 3) (+ 100 (+ (* -200 (/ y x)) (* 100 (/ (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))))) |
(* -1 (pow x 3)) |
(* (pow x 3) (- (+ (* 2 (/ y x)) (/ y x)) 1)) |
(* (pow x 3) (- (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ y x)))) 1)) |
(* (pow x 3) (- (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (+ (/ y x) (/ (pow y 3) (pow x 3)))))) 1)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(* -1 (/ (- (* 100 (/ y x)) 100) x)) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* 100 y)) x)) 100) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* 100 y)) x)) 100) x)) |
(- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* -100 y)) x)) 100) |
(- (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* -100 y)) x)) 100) |
(- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* (pow x 3) (- (* 200 (/ y x)) 100))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -200 y) (* 100 (/ (pow y 2) x))) x)) 100))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x)))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ y (* 2 y)) x))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ y (+ (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) x)) (* 2 y))) x))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ y (+ (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (+ (* 2 (pow y 2)) (pow y 2))) x)) (* 2 y))) x))))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(+ (* -100 (/ y (pow x 2))) (* 100 (/ 1 x))) |
(+ (* y (- (* 100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(+ (* y (- (* y (+ (* -100 (/ y (pow x 4))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(- (* y (- (* -100 (/ y (pow x 2))) (* 100 (/ 1 x)))) 100) |
(- (* y (- (* y (- (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))) 100) |
(- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1) |
(- (* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) 1) |
(- y x) |
(+ (* -200 (* (pow x 2) y)) (* 100 (pow x 3))) |
(+ (* 100 (pow x 3)) (* y (+ (* -200 (pow x 2)) (* 100 (* x y))))) |
(+ (* -2 (* x y)) (pow x 2)) |
(+ (* y (+ y (* -2 x))) (pow x 2)) |
(+ (* -1 (pow x 3)) (* y (+ (* 2 (pow x 2)) (pow x 2)))) |
(+ (* -1 (pow x 3)) (* y (+ (* 2 (pow x 2)) (+ (* y (+ (* -2 x) (* -1 x))) (pow x 2))))) |
(+ (* -1 (pow x 3)) (* y (+ (* 2 (pow x 2)) (+ (* y (+ y (+ (* -2 x) (* -1 x)))) (pow x 2))))) |
(* y (+ 1 (/ x y))) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/ (+ 100 (* -100 (/ x y))) y) |
(/ (- (+ 100 (* 100 (/ (pow x 2) (pow y 2)))) (* 100 (/ x y))) y) |
(/ (- (+ 100 (* -100 (/ (pow x 3) (pow y 3)))) (+ (* -100 (/ (pow x 2) (pow y 2))) (* 100 (/ x y)))) y) |
(/ (+ (* 100 x) (* 100 (/ (pow x 2) y))) y) |
(/ (+ (* 100 x) (+ (* 100 (/ (pow x 2) y)) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* 100 x) (+ (* 100 (/ (pow x 2) y)) (+ (* 100 (/ (pow x 3) (pow y 2))) (* 100 (/ (pow x 4) (pow y 3)))))) y) |
(/ (+ x (/ (pow x 2) y)) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 4) (pow y 3))) (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 3) (pow y 2))))) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(* (pow y 2) (+ (* -200 (/ (pow x 2) y)) (* 100 x))) |
(* (pow y 2) (+ (* -200 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) |
(* (pow y 2) (+ 1 (* -2 (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(* (pow y 3) (+ 1 (+ (* -2 (/ x y)) (* -1 (/ x y))))) |
(* (pow y 3) (+ 1 (+ (* -2 (/ x y)) (+ (* -1 (/ x y)) (+ (* 2 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))))))) |
(* (pow y 3) (+ 1 (+ (* -2 (/ x y)) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (* 2 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2)))))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* -1 (/ (- (* 100 (/ x y)) 100) y)) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 2) y)) (* 100 x)) y)) 100) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y)) (* 100 x)) y)) 100) y)) |
(* -100 (/ x (* y (pow (sqrt -1) 2)))) |
(* -1 (/ (+ (* 100 (/ x (pow (sqrt -1) 2))) (* 100 (/ (pow x 2) (* y (pow (sqrt -1) 4))))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (pow x 2) (pow (sqrt -1) 4))) (* -100 (/ (pow x 3) (* y (pow (sqrt -1) 6))))) y)) (* 100 (/ x (pow (sqrt -1) 2)))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (pow x 2) (pow (sqrt -1) 4))) (* -1 (/ (+ (* 100 (/ (pow x 3) (pow (sqrt -1) 6))) (* 100 (/ (pow x 4) (* y (pow (sqrt -1) 8))))) y))) y)) (* 100 (/ x (pow (sqrt -1) 2)))) y)) |
(* -1 (* y (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1) 2)))) |
(* -1 (/ (+ (* -100 x) (* -100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (pow x 4) y)) (* -100 (pow x 3))) y)) (* 100 (pow x 2))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 3))) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (/ x y) 1))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -100 (/ (pow x 3) y)) (* 200 (pow x 2))) y)) (* 100 x))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y)))) |
(* -1 (* (pow y 3) (- (+ (* 2 (/ x y)) (/ x y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ (* -1 (+ x (* 2 x))) (+ (* 2 (/ (pow x 2) y)) (/ (pow x 2) y))) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ (* -1 (+ x (* 2 x))) (* -1 (/ (+ (* -1 (+ (* 2 (pow x 2)) (pow x 2))) (/ (pow x 3) y)) y))) y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((+ (* (/ y x) x) x) (* (/ 100 (+ x y)) x) (/ 100 (+ x y)) (+ x y) (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (* (/ 100 y) x) (/ 100 y) (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (* x 100) (+ (* (sqrt y) (sqrt y)) x) (* (/ x (- y x)) 100) (/ x (- y x)) (- y x) (/ (* (* 100 x) (pow (- y x) 2)) (pow (- y x) 3)) (* (* 100 x) (pow (- y x) 2)) (* 100 x) (pow (- y x) 2) (pow (- y x) 3)) |
| 3.0ms | y | @ | -inf | ((+ (* (/ y x) x) x) (* (/ 100 (+ x y)) x) (/ 100 (+ x y)) (+ x y) (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (* (/ 100 y) x) (/ 100 y) (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (* x 100) (+ (* (sqrt y) (sqrt y)) x) (* (/ x (- y x)) 100) (/ x (- y x)) (- y x) (/ (* (* 100 x) (pow (- y x) 2)) (pow (- y x) 3)) (* (* 100 x) (pow (- y x) 2)) (* 100 x) (pow (- y x) 2) (pow (- y x) 3)) |
| 3.0ms | y | @ | 0 | ((+ (* (/ y x) x) x) (* (/ 100 (+ x y)) x) (/ 100 (+ x y)) (+ x y) (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (* (/ 100 y) x) (/ 100 y) (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (* x 100) (+ (* (sqrt y) (sqrt y)) x) (* (/ x (- y x)) 100) (/ x (- y x)) (- y x) (/ (* (* 100 x) (pow (- y x) 2)) (pow (- y x) 3)) (* (* 100 x) (pow (- y x) 2)) (* 100 x) (pow (- y x) 2) (pow (- y x) 3)) |
| 2.0ms | y | @ | inf | ((+ (* (/ y x) x) x) (* (/ 100 (+ x y)) x) (/ 100 (+ x y)) (+ x y) (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (* (/ 100 y) x) (/ 100 y) (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (* x 100) (+ (* (sqrt y) (sqrt y)) x) (* (/ x (- y x)) 100) (/ x (- y x)) (- y x) (/ (* (* 100 x) (pow (- y x) 2)) (pow (- y x) 3)) (* (* 100 x) (pow (- y x) 2)) (* 100 x) (pow (- y x) 2) (pow (- y x) 3)) |
| 2.0ms | x | @ | 0 | ((+ (* (/ y x) x) x) (* (/ 100 (+ x y)) x) (/ 100 (+ x y)) (+ x y) (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (* (/ 100 y) x) (/ 100 y) (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (* x 100) (+ (* (sqrt y) (sqrt y)) x) (* (/ x (- y x)) 100) (/ x (- y x)) (- y x) (/ (* (* 100 x) (pow (- y x) 2)) (pow (- y x) 3)) (* (* 100 x) (pow (- y x) 2)) (* 100 x) (pow (- y x) 2) (pow (- y x) 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 620 | 2198 |
| 1 | 2149 | 2022 |
| 2 | 7854 | 1996 |
| 0 | 8180 | 1860 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ x y) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(/ 100 y) |
(+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))) |
(+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(* 100 x) |
(* x (+ (* 100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (+ (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (+ (* x (+ (* 100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(/ x y) |
(* x (+ (/ 1 y) (/ x (pow y 2)))) |
(* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))) |
(* x (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(+ y (* -1 x)) |
(* 100 (* x (pow y 2))) |
(* x (+ (* -200 (* x y)) (* 100 (pow y 2)))) |
(* x (+ (* 100 (pow y 2)) (* x (+ (* -200 y) (* 100 x))))) |
(pow y 2) |
(+ (* -2 (* x y)) (pow y 2)) |
(+ (* x (+ x (* -2 y))) (pow y 2)) |
(pow y 3) |
(+ (* x (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (pow y 3)) |
(+ (* x (+ (* -2 (pow y 2)) (+ (* -1 (pow y 2)) (* x (+ y (* 2 y)))))) (pow y 3)) |
(+ (* x (+ (* -2 (pow y 2)) (+ (* -1 (pow y 2)) (* x (+ y (+ (* -1 x) (* 2 y))))))) (pow y 3)) |
x |
(* x (+ 1 (/ y x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(/ 100 x) |
(/ (+ 100 (* -100 (/ y x))) x) |
(/ (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) x) |
(/ (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) x) |
-100 |
(- (* -100 (/ y x)) 100) |
(- (* -100 (/ (pow y 2) (pow x 2))) (+ 100 (* 100 (/ y x)))) |
(- (* -100 (/ (pow y 3) (pow x 3))) (+ 100 (+ (* 100 (/ y x)) (* 100 (/ (pow y 2) (pow x 2)))))) |
-1 |
(- (* -1 (/ y x)) 1) |
(- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) |
(- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* 100 (pow x 3)) |
(* (pow x 3) (+ 100 (* -200 (/ y x)))) |
(* (pow x 3) (+ 100 (+ (* -200 (/ y x)) (* 100 (/ (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))))) |
(* -1 (pow x 3)) |
(* (pow x 3) (- (+ (* 2 (/ y x)) (/ y x)) 1)) |
(* (pow x 3) (- (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ y x)))) 1)) |
(* (pow x 3) (- (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (+ (/ y x) (/ (pow y 3) (pow x 3)))))) 1)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(* -1 (/ (- (* 100 (/ y x)) 100) x)) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* 100 y)) x)) 100) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* 100 y)) x)) 100) x)) |
(- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* -100 y)) x)) 100) |
(- (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* -100 y)) x)) 100) |
(- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* (pow x 3) (- (* 200 (/ y x)) 100))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -200 y) (* 100 (/ (pow y 2) x))) x)) 100))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x)))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ y (* 2 y)) x))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ y (+ (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) x)) (* 2 y))) x))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ y (+ (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (+ (* 2 (pow y 2)) (pow y 2))) x)) (* 2 y))) x))))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(+ (* -100 (/ y (pow x 2))) (* 100 (/ 1 x))) |
(+ (* y (- (* 100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(+ (* y (- (* y (+ (* -100 (/ y (pow x 4))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(- (* y (- (* -100 (/ y (pow x 2))) (* 100 (/ 1 x)))) 100) |
(- (* y (- (* y (- (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))) 100) |
(- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1) |
(- (* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) 1) |
(- y x) |
(+ (* -200 (* (pow x 2) y)) (* 100 (pow x 3))) |
(+ (* 100 (pow x 3)) (* y (+ (* -200 (pow x 2)) (* 100 (* x y))))) |
(+ (* -2 (* x y)) (pow x 2)) |
(+ (* y (+ y (* -2 x))) (pow x 2)) |
(+ (* -1 (pow x 3)) (* y (+ (* 2 (pow x 2)) (pow x 2)))) |
(+ (* -1 (pow x 3)) (* y (+ (* 2 (pow x 2)) (+ (* y (+ (* -2 x) (* -1 x))) (pow x 2))))) |
(+ (* -1 (pow x 3)) (* y (+ (* 2 (pow x 2)) (+ (* y (+ y (+ (* -2 x) (* -1 x)))) (pow x 2))))) |
(* y (+ 1 (/ x y))) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/ (+ 100 (* -100 (/ x y))) y) |
(/ (- (+ 100 (* 100 (/ (pow x 2) (pow y 2)))) (* 100 (/ x y))) y) |
(/ (- (+ 100 (* -100 (/ (pow x 3) (pow y 3)))) (+ (* -100 (/ (pow x 2) (pow y 2))) (* 100 (/ x y)))) y) |
(/ (+ (* 100 x) (* 100 (/ (pow x 2) y))) y) |
(/ (+ (* 100 x) (+ (* 100 (/ (pow x 2) y)) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* 100 x) (+ (* 100 (/ (pow x 2) y)) (+ (* 100 (/ (pow x 3) (pow y 2))) (* 100 (/ (pow x 4) (pow y 3)))))) y) |
(/ (+ x (/ (pow x 2) y)) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 4) (pow y 3))) (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 3) (pow y 2))))) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(* (pow y 2) (+ (* -200 (/ (pow x 2) y)) (* 100 x))) |
(* (pow y 2) (+ (* -200 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) |
(* (pow y 2) (+ 1 (* -2 (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(* (pow y 3) (+ 1 (+ (* -2 (/ x y)) (* -1 (/ x y))))) |
(* (pow y 3) (+ 1 (+ (* -2 (/ x y)) (+ (* -1 (/ x y)) (+ (* 2 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))))))) |
(* (pow y 3) (+ 1 (+ (* -2 (/ x y)) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (* 2 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2)))))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* -1 (/ (- (* 100 (/ x y)) 100) y)) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 2) y)) (* 100 x)) y)) 100) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y)) (* 100 x)) y)) 100) y)) |
(* -100 (/ x (* y (pow (sqrt -1) 2)))) |
(* -1 (/ (+ (* 100 (/ x (pow (sqrt -1) 2))) (* 100 (/ (pow x 2) (* y (pow (sqrt -1) 4))))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (pow x 2) (pow (sqrt -1) 4))) (* -100 (/ (pow x 3) (* y (pow (sqrt -1) 6))))) y)) (* 100 (/ x (pow (sqrt -1) 2)))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (pow x 2) (pow (sqrt -1) 4))) (* -1 (/ (+ (* 100 (/ (pow x 3) (pow (sqrt -1) 6))) (* 100 (/ (pow x 4) (* y (pow (sqrt -1) 8))))) y))) y)) (* 100 (/ x (pow (sqrt -1) 2)))) y)) |
(* -1 (* y (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1) 2)))) |
(* -1 (/ (+ (* -100 x) (* -100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (pow x 4) y)) (* -100 (pow x 3))) y)) (* 100 (pow x 2))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 3))) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (/ x y) 1))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -100 (/ (pow x 3) y)) (* 200 (pow x 2))) y)) (* 100 x))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y)))) |
(* -1 (* (pow y 3) (- (+ (* 2 (/ x y)) (/ x y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ (* -1 (+ x (* 2 x))) (+ (* 2 (/ (pow x 2) y)) (/ (pow x 2) y))) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ (* -1 (+ x (* 2 x))) (* -1 (/ (+ (* -1 (+ (* 2 (pow x 2)) (pow x 2))) (/ (pow x 3) y)) y))) y)) 1))) |
| Outputs |
|---|
y |
(+ x y) |
(+.f64 x y) |
(* 100 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 100 binary64)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 x y) #s(literal 100 binary64)) y) x) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64)) (*.f64 y y)) x (/.f64 #s(literal 100 binary64) y)) x) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal -100 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64)) (*.f64 y y))) x (/.f64 #s(literal 100 binary64) y)) x) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))) |
(/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 x y) #s(literal 100 binary64)) y) |
(+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64)) (*.f64 y y)) x (/.f64 #s(literal 100 binary64) y)) |
(+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal -100 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64)) (*.f64 y y))) x (/.f64 #s(literal 100 binary64) y)) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* x (+ (* 100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) y)) |
(* x (+ (* x (+ (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal 100 binary64)) (*.f64 y y)) x (/.f64 #s(literal 100 binary64) y)) x) |
(* x (+ (* x (+ (* x (+ (* 100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 100 binary64) (/.f64 #s(literal 100 binary64) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 (/.f64 #s(literal 100 binary64) y) y)) x (/.f64 #s(literal 100 binary64) y)) x) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 y) (/ x (pow y 2)))) |
(/.f64 (fma.f64 x (/.f64 x y) x) y) |
(* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))) |
(/.f64 (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y) |
(* x (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(* 100 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 100 binary64) y) x) y) |
(* x (+ (* -200 (* x y)) (* 100 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) y) x (*.f64 (*.f64 x x) #s(literal -200 binary64))) y) |
(* x (+ (* 100 (pow y 2)) (* x (+ (* -200 y) (* 100 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -200 binary64) y (*.f64 #s(literal 100 binary64) x)) x (*.f64 (*.f64 y y) #s(literal 100 binary64))) 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 y 3) |
(pow.f64 y #s(literal 3 binary64)) |
(+ (* x (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (pow y 3)) |
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) x (pow.f64 y #s(literal 3 binary64))) |
(+ (* x (+ (* -2 (pow y 2)) (+ (* -1 (pow y 2)) (* x (+ y (* 2 y)))))) (pow y 3)) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) x (pow.f64 y #s(literal 3 binary64))) |
(+ (* x (+ (* -2 (pow y 2)) (+ (* -1 (pow y 2)) (* x (+ y (+ (* -1 x) (* 2 y))))))) (pow y 3)) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (*.f64 (fma.f64 #s(literal 3 binary64) y (neg.f64 x)) x)) x (pow.f64 y #s(literal 3 binary64))) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(fma.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 y (/.f64 y x)) y) x) #s(literal 100 binary64)) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -100 binary64) (fma.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 y (/.f64 y x)) y) x) #s(literal 100 binary64))) |
(/ 100 x) |
(/.f64 #s(literal 100 binary64) x) |
(/ (+ 100 (* -100 (/ y x))) x) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) x) |
(/ (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) x) |
(/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 y (/.f64 y x)) y) x) #s(literal 100 binary64)) x) |
(/ (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) x) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -100 binary64) (fma.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 y (/.f64 y x)) y) x) #s(literal 100 binary64))) x) |
-100 |
#s(literal -100 binary64) |
(- (* -100 (/ y x)) 100) |
(-.f64 (*.f64 (/.f64 y x) #s(literal -100 binary64)) #s(literal 100 binary64)) |
(- (* -100 (/ (pow y 2) (pow x 2))) (+ 100 (* 100 (/ y x)))) |
(-.f64 (*.f64 (/.f64 #s(literal -100 binary64) x) (*.f64 y (/.f64 y x))) (fma.f64 (/.f64 y x) #s(literal 100 binary64) #s(literal 100 binary64))) |
(- (* -100 (/ (pow y 3) (pow x 3))) (+ 100 (+ (* 100 (/ y x)) (* 100 (/ (pow y 2) (pow x 2)))))) |
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -100 binary64)) (fma.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 100 binary64) #s(literal 100 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ y x)) 1) |
(-.f64 (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) |
(- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) |
(-.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) (+.f64 (/.f64 y x) #s(literal 1 binary64))) |
(- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(-.f64 (-.f64 (pow.f64 (/.f64 y (neg.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 y (/.f64 y x) y) x)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* 100 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 100 binary64)) |
(* (pow x 3) (+ 100 (* -200 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -200 binary64) #s(literal 100 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 100 (+ (* -200 (/ y x)) (* 100 (/ (pow y 2) (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal 100 binary64) (*.f64 #s(literal -200 binary64) y)) x) #s(literal 100 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(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 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 y (/.f64 y x))) x) #s(literal 1 binary64)) (*.f64 x x)) |
(* -1 (pow x 3)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(* (pow x 3) (- (+ (* 2 (/ y x)) (/ y x)) 1)) |
(*.f64 (-.f64 (*.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ y x)))) 1)) |
(*.f64 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -3 binary64) (-.f64 (*.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (+ (/ y x) (/ (pow y 3) (pow x 3)))))) 1)) |
(*.f64 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -3 binary64) (-.f64 (fma.f64 (/.f64 y x) #s(literal 3 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (-.f64 (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(fma.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 y (/.f64 y x)) y) x) #s(literal 100 binary64)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(-.f64 #s(literal 100 binary64) (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 y y)) x) (*.f64 #s(literal 100 binary64) y)) x)) |
(* -1 (/ (- (* 100 (/ y x)) 100) x)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 100 binary64) #s(literal -100 binary64)) x)) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* 100 y)) x)) 100) x)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 (*.f64 y (/.f64 y x)) y) x) #s(literal -100 binary64)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* 100 y)) x)) 100) x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 y y)) x) (*.f64 #s(literal -100 binary64) y)) (neg.f64 x)) #s(literal 100 binary64)) (neg.f64 x)) |
(- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* -100 y)) x)) 100) |
(-.f64 (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 y (/.f64 y x) y)) (neg.f64 x)) #s(literal 100 binary64)) |
(- (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* -100 y)) x)) 100) |
(-.f64 (/.f64 (fma.f64 #s(literal 100 binary64) y (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 y y))) (neg.f64 x))) (neg.f64 x)) #s(literal 100 binary64)) |
(- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) |
(-.f64 (/.f64 (fma.f64 y (/.f64 y x) y) (neg.f64 x)) #s(literal 1 binary64)) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x) (*.f64 y y)) x) #s(literal -1 binary64) y) (neg.f64 x)) #s(literal 1 binary64)) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (neg.f64 x)) |
(* -1 (* (pow x 3) (- (* 200 (/ y x)) 100))) |
(*.f64 (-.f64 (*.f64 #s(literal 200 binary64) (/.f64 y x)) #s(literal 100 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -200 y) (* 100 (/ (pow y 2) x))) x)) 100))) |
(*.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal 100 binary64) (*.f64 #s(literal -200 binary64) y))) x) #s(literal 100 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) 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)) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ y (* 2 y)) x))))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 y x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ y (+ (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) x)) (* 2 y))) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) x)) x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ y (+ (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (+ (* 2 (pow y 2)) (pow y 2))) x)) (* 2 y))) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) (neg.f64 x))) x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 100 binary64) #s(literal -100 binary64)) x) y #s(literal 100 binary64)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) x) x) y (/.f64 #s(literal -100 binary64) x)) y #s(literal 100 binary64)) |
(+ (* -100 (/ y (pow x 2))) (* 100 (/ 1 x))) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) x) |
(+ (* y (- (* 100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 100 binary64) #s(literal -100 binary64)) (*.f64 x x)) y (/.f64 #s(literal 100 binary64) x)) |
(+ (* y (- (* y (+ (* -100 (/ y (pow x 4))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 4 binary64)))) #s(literal -100 binary64) (/.f64 (fma.f64 (/.f64 y x) #s(literal 100 binary64) #s(literal -100 binary64)) (*.f64 x x))) y (/.f64 #s(literal 100 binary64) x)) |
(- (* y (- (* -100 (/ y (pow x 2))) (* 100 (/ 1 x)))) 100) |
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal -100 binary64)) x) y) #s(literal 100 binary64)) |
(- (* y (- (* y (- (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))) 100) |
(-.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal -100 binary64)) (*.f64 x x)) y (/.f64 #s(literal -100 binary64) x)) y) #s(literal 100 binary64)) |
(- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1) |
(-.f64 (*.f64 (-.f64 (/.f64 (/.f64 y (neg.f64 x)) x) (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) |
(- (* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) 1) |
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 y (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y) (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) |
(- y x) |
(-.f64 y x) |
(+ (* -200 (* (pow x 2) y)) (* 100 (pow x 3))) |
(*.f64 (*.f64 (fma.f64 #s(literal -200 binary64) y (*.f64 #s(literal 100 binary64) x)) x) x) |
(+ (* 100 (pow x 3)) (* y (+ (* -200 (pow x 2)) (* 100 (* x y))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -200 binary64) y (*.f64 #s(literal 100 binary64) x)) x (*.f64 (*.f64 y y) #s(literal 100 binary64))) 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)) |
(+ (* -1 (pow x 3)) (* y (+ (* 2 (pow x 2)) (pow x 2)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) y (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(+ (* -1 (pow x 3)) (* y (+ (* 2 (pow x 2)) (+ (* y (+ (* -2 x) (* -1 x))) (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 x y) #s(literal -3 binary64))) y (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(+ (* -1 (pow x 3)) (* y (+ (* 2 (pow x 2)) (+ (* y (+ y (+ (* -2 x) (* -1 x)))) (pow x 2))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) x y) y (*.f64 (*.f64 x x) #s(literal 3 binary64))) y (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 x y) #s(literal 100 binary64)) y) x) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) y) (*.f64 #s(literal 100 binary64) x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (fma.f64 (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) x) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (fma.f64 x (/.f64 x y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))) y) |
(/ (+ 100 (* -100 (/ x y))) y) |
(/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 x y) #s(literal 100 binary64)) y) |
(/ (- (+ 100 (* 100 (/ (pow x 2) (pow y 2)))) (* 100 (/ x y))) y) |
(/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 x (/.f64 x y)) x) y) #s(literal 100 binary64)) y) |
(/ (- (+ 100 (* -100 (/ (pow x 3) (pow y 3)))) (+ (* -100 (/ (pow x 2) (pow y 2))) (* 100 (/ x y)))) y) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -100 binary64) (fma.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 x (/.f64 x y)) x) y) #s(literal 100 binary64))) y) |
(/ (+ (* 100 x) (* 100 (/ (pow x 2) y))) y) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) y)) |
(/ (+ (* 100 x) (+ (* 100 (/ (pow x 2) y)) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x)) y) |
(/ (+ (* 100 x) (+ (* 100 (/ (pow x 2) y)) (+ (* 100 (/ (pow x 3) (pow y 2))) (* 100 (/ (pow x 4) (pow y 3)))))) y) |
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 (fma.f64 x (/.f64 x y) x) (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) y) |
(/ (+ x (/ (pow x 2) y)) y) |
(/.f64 (fma.f64 x (/.f64 x y) x) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (* -1 (/ (pow x 2) y))) y) |
(/.f64 (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y) |
(/ (- (+ x (/ (pow x 4) (pow y 3))) (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y)) x) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(* (pow y 2) (+ (* -200 (/ (pow x 2) y)) (* 100 x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -200 binary64) (*.f64 #s(literal 100 binary64) x)) y) y) |
(* (pow y 2) (+ (* -200 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) |
(*.f64 (fma.f64 #s(literal 100 binary64) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 100 binary64) (*.f64 (*.f64 x x) #s(literal -200 binary64))) y)) (*.f64 y y)) |
(* (pow y 2) (+ 1 (* -2 (/ x y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 x (/.f64 x y))) y) #s(literal 1 binary64)) y) y) |
(* (pow y 3) (+ 1 (+ (* -2 (/ x y)) (* -1 (/ x y))))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 x y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ 1 (+ (* -2 (/ x y)) (+ (* -1 (/ x y)) (+ (* 2 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x (*.f64 (*.f64 x (/.f64 x y)) #s(literal 3 binary64))) y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ 1 (+ (* -2 (/ x y)) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (* 2 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2)))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x (*.f64 (*.f64 x (/.f64 x y)) #s(literal 3 binary64))) y) (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 x y) #s(literal 100 binary64)) y) x) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(/.f64 (fma.f64 #s(literal -100 binary64) x (/.f64 (*.f64 #s(literal -100 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x))) y)) (neg.f64 y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/.f64 (fma.f64 #s(literal -100 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) x) x (/.f64 (*.f64 #s(literal -100 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) y))) (neg.f64 y))) (neg.f64 y))) (neg.f64 y)) |
(* -1 (/ (- (* 100 (/ x y)) 100) y)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64)) y)) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 2) y)) (* 100 x)) y)) 100) y)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 x y) #s(literal 100 binary64)) y) x #s(literal -100 binary64)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y)) (* 100 x)) y)) 100) y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -100 binary64) x (/.f64 (*.f64 #s(literal -100 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x))) y)) (neg.f64 y)) #s(literal 100 binary64)) (neg.f64 y)) |
(* -100 (/ x (* y (pow (sqrt -1) 2)))) |
(*.f64 (/.f64 x y) #s(literal 100 binary64)) |
(* -1 (/ (+ (* 100 (/ x (pow (sqrt -1) 2))) (* 100 (/ (pow x 2) (* y (pow (sqrt -1) 4))))) y)) |
(/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 x y) (/.f64 x #s(literal -1 binary64)))) y) |
(* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (pow x 2) (pow (sqrt -1) 4))) (* -100 (/ (pow x 3) (* y (pow (sqrt -1) 6))))) y)) (* 100 (/ x (pow (sqrt -1) 2)))) y)) |
(/.f64 (fma.f64 #s(literal -100 binary64) x (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 x (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) y)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (pow x 2) (pow (sqrt -1) 4))) (* -1 (/ (+ (* 100 (/ (pow x 3) (pow (sqrt -1) 6))) (* 100 (/ (pow x 4) (* y (pow (sqrt -1) 8))))) y))) y)) (* 100 (/ x (pow (sqrt -1) 2)))) y)) |
(/.f64 (fma.f64 #s(literal -100 binary64) x (/.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal -100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) y)) (neg.f64 y))) (neg.f64 y)) |
(* -1 (* y (pow (sqrt -1) 2))) |
y |
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1) 2)))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(* -1 (/ (+ (* -100 x) (* -100 (/ (pow x 2) y))) y)) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y))) y)) |
(/.f64 (fma.f64 #s(literal -100 binary64) x (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)) (neg.f64 y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (pow x 4) y)) (* -100 (pow x 3))) y)) (* 100 (pow x 2))) y))) y)) |
(/.f64 (fma.f64 #s(literal -100 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64)))) y)) (neg.f64 y))) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x y) x)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 3))) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 y)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y))) (neg.f64 y)) x) (neg.f64 y)) |
(* -1 (* y (- (/ x y) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -100 (/ (pow x 3) y)) (* 200 (pow x 2))) y)) (* 100 x))) |
(*.f64 (fma.f64 #s(literal 100 binary64) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -100 binary64) (*.f64 #s(literal 200 binary64) (*.f64 x x))) (neg.f64 y))) (*.f64 y y)) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (*.f64 (neg.f64 x) x) y)) y)) y) y) |
(* -1 (* (pow y 3) (- (+ (* 2 (/ x y)) (/ x y)) 1))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) #s(literal 1 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ (* -1 (+ x (* 2 x))) (+ (* 2 (/ (pow x 2) y)) (/ (pow x 2) y))) y)) 1))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (-.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -3 binary64) x (*.f64 (*.f64 x (/.f64 x y)) #s(literal 3 binary64)))) y) #s(literal 1 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ (* -1 (+ x (* 2 x))) (* -1 (/ (+ (* -1 (+ (* 2 (pow x 2)) (pow x 2))) (/ (pow x 3) y)) y))) y)) 1))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x x) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y))) y) #s(literal 1 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 144 |
| 0 | 47 | 124 |
| 1 | 153 | 124 |
| 2 | 849 | 112 |
| 0 | 9421 | 112 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 y x) x x) |
(*.f64 (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) x) |
(/.f64 #s(literal 100 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
#s(approx (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(/.f64 #s(literal 100 binary64) y) |
(/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ (* (sqrt y) (sqrt y)) x) y)) |
(*.f64 x #s(literal 100 binary64)) |
#s(approx (+ (* (sqrt y) (sqrt y)) x) y) |
(*.f64 (/.f64 x (-.f64 y x)) #s(literal 100 binary64)) |
(/.f64 x (-.f64 y x)) |
(-.f64 y x) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 100 binary64) x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(*.f64 #s(literal 100 binary64) x) |
(pow.f64 (-.f64 y x) #s(literal 2 binary64)) |
(pow.f64 (-.f64 y x) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 1 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(*.f64 (/.f64 (-.f64 x y) (/.f64 (fma.f64 y y (*.f64 x x)) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))))) (/.f64 (-.f64 y x) (-.f64 x y))) |
(*.f64 (/.f64 (-.f64 x y) (/.f64 (fma.f64 y y (*.f64 x x)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (/.f64 (-.f64 y x) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 y x))) (/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x)))) |
(*.f64 (/.f64 (-.f64 x y) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 1 binary64))) (/.f64 (-.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (-.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (-.f64 x y))) |
(*.f64 (/.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(*.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))) (-.f64 x y)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))) (neg.f64 (-.f64 x y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (*.f64 y #s(literal -1 binary64)) x)) (/.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (*.f64 y #s(literal -1 binary64)) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal -1 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal -1 binary64)) x)))) (+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (*.f64 y #s(literal -1 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal -1 binary64)) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))) (-.f64 x y)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))) (-.f64 y x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 (*.f64 y y) #s(literal 1 binary64)))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 (*.f64 y y) #s(literal 1 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 (*.f64 y y) #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 (*.f64 y y) #s(literal 1 binary64)))))) (-.f64 (*.f64 y #s(literal -1 binary64)) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x y)) (-.f64 y x))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x y)) (-.f64 y x))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y (-.f64 y x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y (-.f64 y x))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal 3 binary64))) |
(/.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (-.f64 y x)) (neg.f64 (-.f64 x y))) |
(/.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (-.f64 y x)) (-.f64 x y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (neg.f64 x) x (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 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 (pow.f64 (*.f64 (-.f64 x y) (-.f64 y x)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) |
(/.f64 (pow.f64 (*.f64 (-.f64 x y) (-.f64 y x)) #s(literal 3 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (neg.f64 (-.f64 x y)))) |
(/.f64 (pow.f64 (*.f64 (-.f64 x y) (-.f64 y x)) #s(literal 3 binary64)) (*.f64 (neg.f64 (-.f64 x y)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (*.f64 (-.f64 x y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (-.f64 x y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal 3 binary64)))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y (-.f64 y x))))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y (-.f64 y x))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y (-.f64 y x))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal 3 binary64))) |
(neg.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))) |
(fma.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)) (*.f64 (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))) |
(fma.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (-.f64 y x) (*.f64 (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (-.f64 y x))) |
(fma.f64 (neg.f64 (-.f64 y x)) (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (*.f64 (neg.f64 (-.f64 y x)) (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))))) |
(fma.f64 (-.f64 y x) (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (*.f64 (-.f64 y x) (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))))) |
(fabs.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 y x)) #s(literal 3/2 binary64) (*.f64 (log.f64 (-.f64 y x)) #s(literal 3/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 y x)) #s(literal 2 binary64) (log.f64 (-.f64 y x)))) |
(exp.f64 (+.f64 (log.f64 (-.f64 y x)) (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (-.f64 y x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))) |
(+.f64 (*.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y x))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))) |
(+.f64 (*.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (-.f64 y x)) (*.f64 (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (-.f64 y x))) |
(+.f64 (*.f64 (neg.f64 (-.f64 y x)) (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))))) (*.f64 (neg.f64 (-.f64 y x)) (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (-.f64 y x) (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))))) (*.f64 (-.f64 y x) (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))))) |
(+.f64 (neg.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))))) (neg.f64 (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))))) |
Compiled 40 738 to 4 714 computations (88.4% saved)
15 alts after pruning (8 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 448 | 8 | 1 456 |
| Fresh | 1 | 0 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 452 | 15 | 1 467 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 16.8% | (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 (-.f64 x y) (-.f64 y x)) (neg.f64 (-.f64 y x)))) |
| ✓ | 45.5% | (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)) |
| ✓ | 99.3% | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| ✓ | 45.9% | (/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ (* (sqrt y) (sqrt y)) x) y)) |
| ▶ | 22.4% | (*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 #s(literal 100 binary64) x))) |
| ▶ | 29.1% | (*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) |
| 29.1% | (*.f64 (/.f64 (neg.f64 x) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) #s(literal 100 binary64))) | |
| ▶ | 99.8% | (*.f64 (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (+.f64 y x))) x) |
| 44.9% | (*.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) x) #s(literal 100 binary64)) | |
| 45.9% | (*.f64 #s(approx (/ x (- y x)) (/.f64 x y)) #s(literal 100 binary64)) | |
| ✓ | 45.9% | #s(approx (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
| ✓ | 54.3% | #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64))) |
| ✓ | 53.7% | #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64))) |
| ✓ | 54.0% | #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
| ▶ | 2.9% | #s(approx (* (/ x (- y x)) 100) #s(literal -100 binary64)) |
Compiled 303 to 212 computations (30% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 #s(literal 100 binary64) x)) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) | |
| cost-diff | 8 | (*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 #s(literal 100 binary64) x))) | |
| cost-diff | 0 | (fma.f64 y y (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 #s(literal 100 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 y y (*.f64 x x))) | |
| cost-diff | 1 | (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 (-.f64 x y) (-.f64 y x)) (neg.f64 (-.f64 y x)))) | |
| cost-diff | 0 | (fma.f64 y y (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 #s(literal -100 binary64) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -100 binary64) x) (fma.f64 y y (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) | |
| cost-diff | 0 | #s(approx (* (/ x (- y x)) 100) #s(literal -100 binary64)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | #s(approx (+ x y) (+.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (+.f64 y x))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (+.f64 y x))) x) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 201 |
| 0 | 50 | 201 |
| 1 | 102 | 195 |
| 2 | 357 | 195 |
| 3 | 2205 | 192 |
| 0 | 8375 | 192 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (+.f64 y x))) x) |
(/.f64 #s(literal 100 binary64) #s(approx (+ x y) (+.f64 y x))) |
#s(literal 100 binary64) |
#s(approx (+ x y) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
#s(approx (* (/ x (- y x)) 100) #s(literal -100 binary64)) |
#s(literal -100 binary64) |
(*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) |
(/.f64 (*.f64 #s(literal -100 binary64) x) (fma.f64 y y (*.f64 x x))) |
(*.f64 #s(literal -100 binary64) x) |
#s(literal -100 binary64) |
x |
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
(-.f64 x y) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 (-.f64 x y) (-.f64 y x)) (neg.f64 (-.f64 y x)))) |
(*.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 y y (*.f64 x x))) |
(*.f64 #s(literal 100 binary64) x) |
#s(literal 100 binary64) |
x |
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
(*.f64 (*.f64 (-.f64 x y) (-.f64 y x)) (neg.f64 (-.f64 y x))) |
(*.f64 (-.f64 x y) (-.f64 y x)) |
(-.f64 x y) |
(-.f64 y x) |
(neg.f64 (-.f64 y x)) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 #s(literal 100 binary64) x))) |
(pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
(-.f64 y x) |
y |
x |
#s(literal -1/2 binary64) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 #s(literal 100 binary64) x)) |
(*.f64 #s(literal 100 binary64) x) |
#s(literal 100 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (+.f64 y x))) x) |
(/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ x y) (+.f64 y x))) |
(/.f64 #s(literal 100 binary64) #s(approx (+ x y) (+.f64 y x))) |
#s(literal 100 binary64) |
#s(approx (+ x y) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
#s(approx (* (/ x (- y x)) 100) #s(literal -100 binary64)) |
#s(literal -100 binary64) |
(*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal -100 binary64) x)) |
(/.f64 (*.f64 #s(literal -100 binary64) x) (fma.f64 y y (*.f64 x x))) |
(*.f64 (/.f64 #s(literal -100 binary64) (fma.f64 y y (*.f64 x x))) x) |
(*.f64 #s(literal -100 binary64) x) |
#s(literal -100 binary64) |
x |
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
(-.f64 x y) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 (-.f64 x y) (-.f64 y x)) (neg.f64 (-.f64 y x)))) |
(*.f64 (*.f64 (/.f64 (/.f64 x (-.f64 x y)) (-.f64 y x)) (/.f64 #s(literal -100 binary64) (-.f64 y x))) (fma.f64 y y (*.f64 x x))) |
(*.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 y y (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 100 binary64)) x) |
(*.f64 #s(literal 100 binary64) x) |
(*.f64 x #s(literal 100 binary64)) |
#s(literal 100 binary64) |
x |
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
(*.f64 (*.f64 (-.f64 x y) (-.f64 y x)) (neg.f64 (-.f64 y x))) |
(*.f64 (neg.f64 (-.f64 x y)) (*.f64 (-.f64 y x) (-.f64 y x))) |
(*.f64 (-.f64 x y) (-.f64 y x)) |
(*.f64 (-.f64 y x) (-.f64 x y)) |
(-.f64 x y) |
(-.f64 y x) |
(neg.f64 (-.f64 y x)) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 #s(literal 100 binary64) x))) |
(*.f64 (/.f64 #s(literal 100 binary64) (-.f64 y x)) x) |
(pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
(-.f64 y x) |
y |
x |
#s(literal -1/2 binary64) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 #s(literal 100 binary64) x)) |
(*.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) x) #s(literal 100 binary64)) |
(*.f64 #s(literal 100 binary64) x) |
(*.f64 x #s(literal 100 binary64)) |
#s(literal 100 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal 100 binary64) x) | |
| accuracy | 0.01171875 | (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) | |
| accuracy | 0.109375 | (*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 #s(literal 100 binary64) x))) | |
| accuracy | 0.19140625 | (*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 #s(literal 100 binary64) x)) | |
| accuracy | 0.015625 | (*.f64 (-.f64 x y) (-.f64 y x)) | |
| accuracy | 0.0546875 | (*.f64 (*.f64 (-.f64 x y) (-.f64 y x)) (neg.f64 (-.f64 y x))) | |
| accuracy | 1.7004167152135292 | (*.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 y y (*.f64 x x))) | |
| accuracy | 19.965804728813687 | (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 (-.f64 x y) (-.f64 y x)) (neg.f64 (-.f64 y x)))) | |
| accuracy | 0.0 | (*.f64 #s(literal -100 binary64) x) | |
| accuracy | 0.00390625 | (fma.f64 y y (*.f64 x x)) | |
| accuracy | 3.797866301984619 | (*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) | |
| accuracy | 10.408084802970556 | (/.f64 (*.f64 #s(literal -100 binary64) x) (fma.f64 y y (*.f64 x x))) | |
| accuracy | 14.740432041608425 | #s(approx (* (/ x (- y x)) 100) #s(literal -100 binary64)) | |
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 0.0 | #s(approx (+ x y) (+.f64 y x)) | |
| accuracy | 0.01171875 | (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (+.f64 y x))) | |
| accuracy | 0.0859375 | (*.f64 (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (+.f64 y x))) x) |
| 35.0ms | 130× | 0 | valid |
| 23.0ms | 126× | 0 | invalid |
Compiled 396 to 61 computations (84.6% saved)
ival-mult: 16.0ms (46.8% of total)ival-div: 6.0ms (17.6% of total)ival-add: 4.0ms (11.7% of total)ival-pow: 3.0ms (8.8% of total)ival-sub: 2.0ms (5.9% of total)ival-neg: 1.0ms (2.9% 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 #s(literal 100 binary64) #s(approx (+ x y) (+.f64 y x))) x) |
(/.f64 #s(literal 100 binary64) #s(approx (+ x y) (+.f64 y x))) |
#s(approx (+ x y) (+.f64 y x)) |
(+.f64 y x) |
#s(approx (* (/ x (- y x)) 100) #s(literal -100 binary64)) |
(*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) |
(/.f64 (*.f64 #s(literal -100 binary64) x) (fma.f64 y y (*.f64 x x))) |
(*.f64 #s(literal -100 binary64) x) |
(fma.f64 y y (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 (-.f64 x y) (-.f64 y x)) (neg.f64 (-.f64 y x)))) |
(*.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 y y (*.f64 x x))) |
(*.f64 #s(literal 100 binary64) x) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 #s(literal 100 binary64) x))) |
(pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
(-.f64 y x) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 #s(literal 100 binary64) x)) |
(*.f64 (*.f64 (-.f64 x y) (-.f64 y x)) (neg.f64 (-.f64 y x))) |
(*.f64 (-.f64 x y) (-.f64 y x)) |
| Outputs |
|---|
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(/ 100 y) |
(+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))) |
(+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
y |
(+ x y) |
(* x (+ (* 100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (+ (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (+ (* x (+ (* 100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* -100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (- (* 100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* -100 (/ x (pow y 2))) |
(* x (- (* 100 (/ (pow x 2) (pow y 4))) (* 100 (/ 1 (pow y 2))))) |
(* x (- (* (pow x 2) (+ (* -100 (/ (pow x 2) (pow y 6))) (* 100 (/ 1 (pow y 4))))) (* 100 (/ 1 (pow y 2))))) |
(* x (- (* (pow x 2) (+ (* (pow x 2) (- (* 100 (/ (pow x 2) (pow y 8))) (* 100 (/ 1 (pow y 6))))) (* 100 (/ 1 (pow y 4))))) (* 100 (/ 1 (pow y 2))))) |
(* -100 x) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(* x (+ (* 300 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (+ (* -100 (* x (+ (* 3 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 5))) (* 2 (/ 1 (pow y 3)))))) (* 300 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (+ (* x (+ (* -100 (+ (* 3 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 5))) (* 2 (/ 1 (pow y 3))))) (* 100 (* x (- (/ 1 (pow y 4)) (+ (* -1 (/ (* (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (+ (* 3 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 5))) (* 2 (/ 1 (pow y 3))))) (pow y 3))) (* 3 (/ (+ y (* 2 y)) (pow y 5))))))))) (* 300 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* 100 (* x (pow y 2))) |
(* x (+ (* 100 (pow x 2)) (* 100 (pow y 2)))) |
(* 100 x) |
(sqrt (/ 1 y)) |
(+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))) |
(+ (sqrt (/ 1 y)) (* x (+ (* 3/8 (* x (sqrt (/ 1 (pow y 5))))) (* 1/2 (sqrt (/ 1 (pow y 3))))))) |
(+ (sqrt (/ 1 y)) (* x (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* x (+ (* 5/16 (* x (sqrt (/ 1 (pow y 7))))) (* 3/8 (sqrt (/ 1 (pow y 5))))))))) |
(+ y (* -1 x)) |
(* 100 (* x (sqrt (/ 1 y)))) |
(* x (+ (* 50 (* x (sqrt (/ 1 (pow y 3))))) (* 100 (sqrt (/ 1 y))))) |
(* x (+ (* 100 (sqrt (/ 1 y))) (* x (+ (* 75/2 (* x (sqrt (/ 1 (pow y 5))))) (* 50 (sqrt (/ 1 (pow y 3)))))))) |
(* x (+ (* 100 (sqrt (/ 1 y))) (* x (+ (* 50 (sqrt (/ 1 (pow y 3)))) (* x (+ (* 125/4 (* x (sqrt (/ 1 (pow y 7))))) (* 75/2 (sqrt (/ 1 (pow y 5)))))))))) |
(pow y 3) |
(+ (* x (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (pow y 3)) |
(+ (* x (+ (* -2 (pow y 2)) (+ (* -1 (pow y 2)) (* x (+ y (* 2 y)))))) (pow y 3)) |
(+ (* x (+ (* -2 (pow y 2)) (+ (* -1 (pow y 2)) (* x (+ y (+ (* -1 x) (* 2 y))))))) (pow y 3)) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* 2 (* x y))) |
(+ (* -1 (pow y 2)) (* x (+ (* -1 x) (* 2 y)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(/ 100 x) |
(/ (+ 100 (* -100 (/ y x))) x) |
(/ (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) x) |
(/ (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) x) |
x |
(* x (+ 1 (/ y x))) |
-100 |
(- (* -100 (/ y x)) 100) |
(- (* -100 (/ (pow y 2) (pow x 2))) (+ 100 (* 100 (/ y x)))) |
(- (* -100 (/ (pow y 3) (pow x 3))) (+ 100 (+ (* 100 (/ y x)) (* 100 (/ (pow y 2) (pow x 2)))))) |
(- (* 100 (/ y x)) 100) |
(- (+ (* 100 (/ y x)) (* 100 (/ (pow y 2) (pow x 2)))) 100) |
(- (+ (* -100 (/ (pow y 3) (pow x 3))) (+ (* 100 (/ y x)) (* 100 (/ (pow y 2) (pow x 2))))) 100) |
(/ -100 x) |
(/ (- (* 100 (/ (pow y 2) (pow x 2))) 100) x) |
(/ (- (* -100 (/ (pow y 4) (pow x 4))) (+ 100 (* -100 (/ (pow y 2) (pow x 2))))) x) |
(/ (- (* 100 (/ (pow y 6) (pow x 6))) (+ 100 (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ (pow y 4) (pow x 4)))))) x) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(- (* -100 (/ (+ y (* 2 y)) x)) 100) |
(- (+ (* -100 (/ (+ y (* 2 y)) x)) (* -100 (/ (+ (* -2 (pow y 2)) (pow (+ y (* 2 y)) 2)) (pow x 2)))) 100) |
(- (+ (* -100 (/ (+ y (* 2 y)) x)) (+ (* -100 (/ (+ (* -2 (pow y 2)) (pow (+ y (* 2 y)) 2)) (pow x 2))) (* -100 (/ (+ (* (+ y (* 2 y)) (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (+ (* (+ y (* 2 y)) (+ (* -2 (pow y 2)) (pow (+ y (* 2 y)) 2))) (pow y 3))) (pow x 3))))) 100) |
(* 100 (pow x 3)) |
(* (pow x 3) (+ 100 (* 100 (/ (pow y 2) (pow x 2))))) |
(* (sqrt (/ 1 x)) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/4 (/ (* x (pow y 2)) (pow (sqrt -1) 2))) (pow y 3)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* 100 (* (sqrt x) (sqrt -1))) |
(* x (+ (* -50 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* 100 (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (+ (* -50 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* -50 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (sqrt -1)))) (* 100 (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* x (+ (* -50 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* -50 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (sqrt -1)))) (+ (* -50 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/4 (/ (* x (pow y 2)) (pow (sqrt -1) 2))) (pow y 3)) (sqrt -1)))) (* 100 (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (pow x 3)) |
(* (pow x 3) (- (+ (* 2 (/ y x)) (/ y x)) 1)) |
(* (pow x 3) (- (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ y x)))) 1)) |
(* (pow x 3) (- (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (+ (/ y x) (/ (pow y 3) (pow x 3)))))) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ y x)) 1)) |
(* (pow x 2) (- (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x))) 1)) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(* -1 (/ (- (* 100 (/ y x)) 100) x)) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* 100 y)) x)) 100) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* 100 y)) x)) 100) x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* -100 y)) x)) 100) |
(- (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* -100 y)) x)) 100) |
(- (* -1 (/ (+ (* -100 y) (* -100 (/ (pow y 2) x))) x)) 100) |
(- (* -1 (/ (+ (* -100 y) (* -1 (/ (+ (* -100 (/ (pow y 3) x)) (* 100 (pow y 2))) x))) x)) 100) |
(* -1 (/ (+ 100 (* -100 (/ (pow y 2) (pow x 2)))) x)) |
(* -1 (/ (- (+ 100 (* 100 (/ (pow y 4) (pow x 4)))) (* 100 (/ (pow y 2) (pow x 2)))) x)) |
(* -1 (/ (- (+ 100 (* -100 (/ (pow y 6) (pow x 6)))) (+ (* -100 (/ (pow y 4) (pow x 4))) (* 100 (/ (pow y 2) (pow x 2))))) x)) |
(- (* -1 (/ (+ (* -100 (/ (+ (* -1 (pow (+ y (* 2 y)) 2)) (* 2 (pow y 2))) x)) (* 100 (+ y (* 2 y)))) x)) 100) |
(- (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (+ (* -1 (* (+ y (* 2 y)) (+ (* -1 (pow (+ y (* 2 y)) 2)) (* 2 (pow y 2))))) (+ (* -1 (* (+ y (* 2 y)) (+ (* 2 (pow y 2)) (pow y 2)))) (pow y 3))) x)) (* 100 (+ (* -1 (pow (+ y (* 2 y)) 2)) (* 2 (pow y 2))))) x)) (* 100 (+ y (* 2 y)))) x)) 100) |
(* -1 (* (pow x 3) (- (* -100 (/ (pow y 2) (pow x 2))) 100))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt x) (* (pow y 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -1/4 (* x (pow y 2))) (pow y 3)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ (* -100 (* (sqrt (/ 1 x)) (sqrt -1))) (* 50 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1))))))) |
(* -1 (* x (+ (* -100 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* 50 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* 50 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))))))) |
(* -1 (* x (+ (* -100 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (/ (+ (* -50 (* (sqrt x) (* (pow y 2) (sqrt -1)))) (* -50 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -1/4 (* x (pow y 2))) (pow y 3)))))) (pow x 3))) (* 50 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ y (* 2 y)) x))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ y (+ (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) x)) (* 2 y))) x))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ y (+ (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (+ (* 2 (pow y 2)) (pow y 2))) x)) (* 2 y))) x))))) |
(* (pow x 2) (- (* -1 (/ (+ (* -2 y) (/ (pow y 2) x)) x)) 1)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(+ (* -100 (/ y (pow x 2))) (* 100 (/ 1 x))) |
(+ (* y (- (* 100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(+ (* y (- (* y (+ (* -100 (/ y (pow x 4))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(- (* y (- (* -100 (/ y (pow x 2))) (* 100 (/ 1 x)))) 100) |
(- (* y (- (* y (- (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))) 100) |
(- (* y (+ (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))) 100) |
(- (* y (+ (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))) 100) |
(- (* 100 (/ (pow y 2) (pow x 3))) (* 100 (/ 1 x))) |
(- (* (pow y 2) (+ (* -100 (/ (pow y 2) (pow x 5))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 x))) |
(- (* (pow y 2) (+ (* (pow y 2) (- (* 100 (/ (pow y 2) (pow x 7))) (* 100 (/ 1 (pow x 5))))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 x))) |
(- (* -300 (/ y x)) 100) |
(- (* y (- (* 100 (* y (- (* 2 (/ 1 (pow x 2))) (* 3 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 4)))))) (* 300 (/ 1 x)))) 100) |
(- (* y (- (* y (+ (* -100 (* y (+ (* -1 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* 2 (/ 1 (pow x 2))) (* 3 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 4))))) (pow x 3))) (+ (* 3 (/ (+ (* -2 x) (* -1 x)) (pow x 4))) (/ 1 (pow x 3)))))) (* 100 (- (* 2 (/ 1 (pow x 2))) (* 3 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 4))))))) (* 300 (/ 1 x)))) 100) |
(+ (* 100 (* x (pow y 2))) (* 100 (pow x 3))) |
(+ (* y (+ (* -1/2 (* (sqrt x) (/ (* y (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))))) (* (sqrt (/ 1 x)) (sqrt -1))) |
(+ (* y (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* y (+ (* -1/2 (* (sqrt x) (/ (* y (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow x 4)))) (sqrt -1)))) (* -1/2 (* (sqrt x) (/ (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3))) (sqrt -1)))))))) (* (sqrt (/ 1 x)) (sqrt -1))) |
(- y x) |
(+ (* -50 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* 100 (* (sqrt x) (sqrt -1)))) |
(+ (* 100 (* (sqrt x) (sqrt -1))) (* y (+ (* -50 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* -50 (* (sqrt (pow x 3)) (/ (* y (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3)))) (sqrt -1))))))) |
(+ (* 100 (* (sqrt x) (sqrt -1))) (* y (+ (* -50 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -50 (* (sqrt (pow x 3)) (/ (* y (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow x 4)))) (sqrt -1)))) (* -50 (* (sqrt (pow x 3)) (/ (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3))) (sqrt -1))))))))) |
(+ (* -1 (pow x 3)) (* y (+ (* 2 (pow x 2)) (pow x 2)))) |
(+ (* -1 (pow x 3)) (* y (+ (* 2 (pow x 2)) (+ (* y (+ (* -2 x) (* -1 x))) (pow x 2))))) |
(+ (* -1 (pow x 3)) (* y (+ (* 2 (pow x 2)) (+ (* y (+ y (+ (* -2 x) (* -1 x)))) (pow x 2))))) |
(+ (* -1 (pow x 2)) (* 2 (* x y))) |
(+ (* -1 (pow x 2)) (* y (+ (* -1 y) (* 2 x)))) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/ (+ 100 (* -100 (/ x y))) y) |
(/ (- (+ 100 (* 100 (/ (pow x 2) (pow y 2)))) (* 100 (/ x y))) y) |
(/ (- (+ 100 (* -100 (/ (pow x 3) (pow y 3)))) (+ (* -100 (/ (pow x 2) (pow y 2))) (* 100 (/ x y)))) y) |
(* y (+ 1 (/ x y))) |
(/ (+ (* 100 x) (* 100 (/ (pow x 2) y))) y) |
(/ (+ (* 100 x) (+ (* 100 (/ (pow x 2) y)) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* 100 x) (+ (* 100 (/ (pow x 2) y)) (+ (* 100 (/ (pow x 3) (pow y 2))) (* 100 (/ (pow x 4) (pow y 3)))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 3) (pow y 2))) (* 100 x))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 3) (pow y 2))) (+ (* 100 x) (* 100 (/ (pow x 4) (pow y 3)))))) y) |
(/ (+ (* -100 x) (* 100 (/ (pow x 3) (pow y 2)))) (pow y 2)) |
(/ (+ (* -100 x) (+ (* -100 (/ (pow x 5) (pow y 4))) (* 100 (/ (pow x 3) (pow y 2))))) (pow y 2)) |
(/ (+ (* -100 x) (+ (* -100 (/ (pow x 5) (pow y 4))) (+ (* 100 (/ (pow x 3) (pow y 2))) (* 100 (/ (pow x 7) (pow y 6)))))) (pow y 2)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(/ (+ (* -100 (/ (* x (+ (* -2 x) (* -1 x))) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (* x (+ (* -2 x) (* -1 x))) y)) (+ (* 100 x) (* 100 (/ (- (pow x 3) (+ (* -1 (* x (pow (+ (* -2 x) (* -1 x)) 2))) (* x (+ (* 2 (pow x 2)) (pow x 2))))) (pow y 2))))) y) |
(/ (+ (* -100 (/ (* x (+ (* -2 x) (* -1 x))) y)) (+ (* -100 (/ (+ (* -1 (* x (* (+ (* -2 x) (* -1 x)) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 4)) (* (+ (* -2 x) (* -1 x)) (- (pow x 3) (+ (* -1 (* x (pow (+ (* -2 x) (* -1 x)) 2))) (* x (+ (* 2 (pow x 2)) (pow x 2)))))))) (pow y 3))) (+ (* 100 x) (* 100 (/ (- (pow x 3) (+ (* -1 (* x (pow (+ (* -2 x) (* -1 x)) 2))) (* x (+ (* 2 (pow x 2)) (pow x 2))))) (pow y 2)))))) y) |
(* (pow y 2) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) |
(+ (sqrt (/ 1 y)) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))) |
(+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* -1 (pow x 3)) (* 1/4 (* (pow x 2) y))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))) |
(* y (+ 1 (* -1 (/ x y)))) |
(+ (* 50 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* 100 (* x (sqrt (/ 1 y))))) |
(+ (* 50 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (+ (* 50 (* (pow x 3) (sqrt (/ 1 (pow y 5))))) (* 100 (* x (sqrt (/ 1 y)))))) |
(+ (* -50 (* (* x (+ (* -1 (pow x 3)) (* 1/4 (* (pow x 2) y)))) (sqrt (/ 1 (pow y 7))))) (+ (* 50 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (+ (* 50 (* (pow x 3) (sqrt (/ 1 (pow y 5))))) (* 100 (* x (sqrt (/ 1 y))))))) |
(* (pow y 3) (+ 1 (+ (* -2 (/ x y)) (* -1 (/ x y))))) |
(* (pow y 3) (+ 1 (+ (* -2 (/ x y)) (+ (* -1 (/ x y)) (+ (* 2 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))))))) |
(* (pow y 3) (+ 1 (+ (* -2 (/ x y)) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (* 2 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2)))))))) |
(* (pow y 2) (- (* 2 (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) 1)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* -1 (/ (- (* 100 (/ x y)) 100) y)) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 2) y)) (* 100 x)) y)) 100) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y)) (* 100 x)) y)) 100) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ (+ (* -100 x) (* -100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (pow x 4) y)) (* -100 (pow x 3))) y)) (* 100 (pow x 2))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (/ (pow x 3) y)) (* -100 (pow x 2))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (/ (pow x 4) y)) (* 100 (pow x 3))) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -100 (/ (* x (+ x (* 2 x))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* 100 (* x (+ x (* 2 x)))) (* 100 (/ (- (pow x 3) (+ (* -1 (* x (pow (+ x (* 2 x)) 2))) (* x (+ (* 2 (pow x 2)) (pow x 2))))) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -1 (/ (+ (* -100 (- (pow x 3) (+ (* -1 (* x (pow (+ x (* 2 x)) 2))) (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (* -100 (/ (+ (* -1 (* x (* (+ x (* 2 x)) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* (+ x (* 2 x)) (- (pow x 3) (+ (* -1 (* x (pow (+ x (* 2 x)) 2))) (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (pow x 4))) y))) y)) (* 100 (* x (+ x (* 2 x))))) y))) y)) |
(* -100 (/ (* x (pow (sqrt -1) 2)) y)) |
(* -1 (/ (+ (* 100 (* x (pow (sqrt -1) 2))) (* 100 (/ (* (pow x 2) (pow (sqrt -1) 2)) y))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -100 (* (pow x 2) (pow (sqrt -1) 2))) (* -100 (/ (* (pow x 3) (pow (sqrt -1) 2)) y))) y)) (* 100 (* x (pow (sqrt -1) 2)))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -100 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ (+ (* 100 (* (pow x 3) (pow (sqrt -1) 2))) (* 100 (/ (* (pow x 4) (pow (sqrt -1) 2)) y))) y))) y)) (* 100 (* x (pow (sqrt -1) 2)))) y)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))) |
(+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (* (pow x 2) (sqrt y))) (* 1/2 (* (sqrt (/ 1 y)) (+ (* -1 (pow x 3)) (* -1/4 (/ (* (pow x 2) y) (pow (sqrt -1) 2))))))) (pow y 3))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) |
(* -1 (* y (- (/ x y) 1))) |
(* 100 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))) |
(+ (* -50 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* 100 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))) |
(+ (* -50 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (+ (* -50 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (* 100 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))))) |
(+ (* -50 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (+ (* -1 (/ (+ (* 50 (* (* x (* (pow (sqrt -1) 2) (+ (* -1/4 (* (pow x 2) y)) (pow x 3)))) (sqrt (/ 1 y)))) (* 50 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt y)))) (pow y 3))) (* 100 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))))) |
(* -1 (* (pow y 3) (- (+ (* 2 (/ x y)) (/ x y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ (* -1 (+ x (* 2 x))) (+ (* 2 (/ (pow x 2) y)) (/ (pow x 2) y))) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ (* -1 (+ x (* 2 x))) (* -1 (/ (+ (* -1 (+ (* 2 (pow x 2)) (pow x 2))) (/ (pow x 3) y)) y))) y)) 1))) |
(* (pow y 2) (- (* -1 (/ (+ (* -2 x) (/ (pow x 2) y)) y)) 1)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | y | @ | 0 | ((* (/ 100 (+ x y)) x) (/ 100 (+ x y)) (+ x y) (+ y x) (* (/ x (- y x)) 100) (* (/ (* -100 x) (+ (* y y) (* x x))) (- x y)) (/ (* -100 x) (+ (* y y) (* x x))) (* -100 x) (+ (* y y) (* x x)) (/ (* (* 100 x) (+ (* y y) (* x x))) (* (* (- x y) (- y x)) (neg (- y x)))) (* (* 100 x) (+ (* y y) (* x x))) (* 100 x) (* (pow (- y x) -1/2) (* (pow (- y x) -1/2) (* 100 x))) (pow (- y x) -1/2) (- y x) (* (pow (- y x) -1/2) (* 100 x)) (* (* (- x y) (- y x)) (neg (- y x))) (* (- x y) (- y x))) |
| 8.0ms | x | @ | -inf | ((* (/ 100 (+ x y)) x) (/ 100 (+ x y)) (+ x y) (+ y x) (* (/ x (- y x)) 100) (* (/ (* -100 x) (+ (* y y) (* x x))) (- x y)) (/ (* -100 x) (+ (* y y) (* x x))) (* -100 x) (+ (* y y) (* x x)) (/ (* (* 100 x) (+ (* y y) (* x x))) (* (* (- x y) (- y x)) (neg (- y x)))) (* (* 100 x) (+ (* y y) (* x x))) (* 100 x) (* (pow (- y x) -1/2) (* (pow (- y x) -1/2) (* 100 x))) (pow (- y x) -1/2) (- y x) (* (pow (- y x) -1/2) (* 100 x)) (* (* (- x y) (- y x)) (neg (- y x))) (* (- x y) (- y x))) |
| 5.0ms | y | @ | -inf | ((* (/ 100 (+ x y)) x) (/ 100 (+ x y)) (+ x y) (+ y x) (* (/ x (- y x)) 100) (* (/ (* -100 x) (+ (* y y) (* x x))) (- x y)) (/ (* -100 x) (+ (* y y) (* x x))) (* -100 x) (+ (* y y) (* x x)) (/ (* (* 100 x) (+ (* y y) (* x x))) (* (* (- x y) (- y x)) (neg (- y x)))) (* (* 100 x) (+ (* y y) (* x x))) (* 100 x) (* (pow (- y x) -1/2) (* (pow (- y x) -1/2) (* 100 x))) (pow (- y x) -1/2) (- y x) (* (pow (- y x) -1/2) (* 100 x)) (* (* (- x y) (- y x)) (neg (- y x))) (* (- x y) (- y x))) |
| 4.0ms | x | @ | inf | ((* (/ 100 (+ x y)) x) (/ 100 (+ x y)) (+ x y) (+ y x) (* (/ x (- y x)) 100) (* (/ (* -100 x) (+ (* y y) (* x x))) (- x y)) (/ (* -100 x) (+ (* y y) (* x x))) (* -100 x) (+ (* y y) (* x x)) (/ (* (* 100 x) (+ (* y y) (* x x))) (* (* (- x y) (- y x)) (neg (- y x)))) (* (* 100 x) (+ (* y y) (* x x))) (* 100 x) (* (pow (- y x) -1/2) (* (pow (- y x) -1/2) (* 100 x))) (pow (- y x) -1/2) (- y x) (* (pow (- y x) -1/2) (* 100 x)) (* (* (- x y) (- y x)) (neg (- y x))) (* (- x y) (- y x))) |
| 4.0ms | x | @ | 0 | ((* (/ 100 (+ x y)) x) (/ 100 (+ x y)) (+ x y) (+ y x) (* (/ x (- y x)) 100) (* (/ (* -100 x) (+ (* y y) (* x x))) (- x y)) (/ (* -100 x) (+ (* y y) (* x x))) (* -100 x) (+ (* y y) (* x x)) (/ (* (* 100 x) (+ (* y y) (* x x))) (* (* (- x y) (- y x)) (neg (- y x)))) (* (* 100 x) (+ (* y y) (* x x))) (* 100 x) (* (pow (- y x) -1/2) (* (pow (- y x) -1/2) (* 100 x))) (pow (- y x) -1/2) (- y x) (* (pow (- y x) -1/2) (* 100 x)) (* (* (- x y) (- y x)) (neg (- y x))) (* (- x y) (- y x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1059 | 4674 |
| 1 | 3779 | 4491 |
| 0 | 8112 | 4247 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(/ 100 y) |
(+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))) |
(+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
y |
(+ x y) |
(* x (+ (* 100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (+ (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (+ (* x (+ (* 100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* -100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (- (* 100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* -100 (/ x (pow y 2))) |
(* x (- (* 100 (/ (pow x 2) (pow y 4))) (* 100 (/ 1 (pow y 2))))) |
(* x (- (* (pow x 2) (+ (* -100 (/ (pow x 2) (pow y 6))) (* 100 (/ 1 (pow y 4))))) (* 100 (/ 1 (pow y 2))))) |
(* x (- (* (pow x 2) (+ (* (pow x 2) (- (* 100 (/ (pow x 2) (pow y 8))) (* 100 (/ 1 (pow y 6))))) (* 100 (/ 1 (pow y 4))))) (* 100 (/ 1 (pow y 2))))) |
(* -100 x) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(* x (+ (* 300 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (+ (* -100 (* x (+ (* 3 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 5))) (* 2 (/ 1 (pow y 3)))))) (* 300 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (+ (* x (+ (* -100 (+ (* 3 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 5))) (* 2 (/ 1 (pow y 3))))) (* 100 (* x (- (/ 1 (pow y 4)) (+ (* -1 (/ (* (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (+ (* 3 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 5))) (* 2 (/ 1 (pow y 3))))) (pow y 3))) (* 3 (/ (+ y (* 2 y)) (pow y 5))))))))) (* 300 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* 100 (* x (pow y 2))) |
(* x (+ (* 100 (pow x 2)) (* 100 (pow y 2)))) |
(* 100 x) |
(sqrt (/ 1 y)) |
(+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))) |
(+ (sqrt (/ 1 y)) (* x (+ (* 3/8 (* x (sqrt (/ 1 (pow y 5))))) (* 1/2 (sqrt (/ 1 (pow y 3))))))) |
(+ (sqrt (/ 1 y)) (* x (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* x (+ (* 5/16 (* x (sqrt (/ 1 (pow y 7))))) (* 3/8 (sqrt (/ 1 (pow y 5))))))))) |
(+ y (* -1 x)) |
(* 100 (* x (sqrt (/ 1 y)))) |
(* x (+ (* 50 (* x (sqrt (/ 1 (pow y 3))))) (* 100 (sqrt (/ 1 y))))) |
(* x (+ (* 100 (sqrt (/ 1 y))) (* x (+ (* 75/2 (* x (sqrt (/ 1 (pow y 5))))) (* 50 (sqrt (/ 1 (pow y 3)))))))) |
(* x (+ (* 100 (sqrt (/ 1 y))) (* x (+ (* 50 (sqrt (/ 1 (pow y 3)))) (* x (+ (* 125/4 (* x (sqrt (/ 1 (pow y 7))))) (* 75/2 (sqrt (/ 1 (pow y 5)))))))))) |
(pow y 3) |
(+ (* x (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (pow y 3)) |
(+ (* x (+ (* -2 (pow y 2)) (+ (* -1 (pow y 2)) (* x (+ y (* 2 y)))))) (pow y 3)) |
(+ (* x (+ (* -2 (pow y 2)) (+ (* -1 (pow y 2)) (* x (+ y (+ (* -1 x) (* 2 y))))))) (pow y 3)) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* 2 (* x y))) |
(+ (* -1 (pow y 2)) (* x (+ (* -1 x) (* 2 y)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(/ 100 x) |
(/ (+ 100 (* -100 (/ y x))) x) |
(/ (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) x) |
(/ (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) x) |
x |
(* x (+ 1 (/ y x))) |
-100 |
(- (* -100 (/ y x)) 100) |
(- (* -100 (/ (pow y 2) (pow x 2))) (+ 100 (* 100 (/ y x)))) |
(- (* -100 (/ (pow y 3) (pow x 3))) (+ 100 (+ (* 100 (/ y x)) (* 100 (/ (pow y 2) (pow x 2)))))) |
(- (* 100 (/ y x)) 100) |
(- (+ (* 100 (/ y x)) (* 100 (/ (pow y 2) (pow x 2)))) 100) |
(- (+ (* -100 (/ (pow y 3) (pow x 3))) (+ (* 100 (/ y x)) (* 100 (/ (pow y 2) (pow x 2))))) 100) |
(/ -100 x) |
(/ (- (* 100 (/ (pow y 2) (pow x 2))) 100) x) |
(/ (- (* -100 (/ (pow y 4) (pow x 4))) (+ 100 (* -100 (/ (pow y 2) (pow x 2))))) x) |
(/ (- (* 100 (/ (pow y 6) (pow x 6))) (+ 100 (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ (pow y 4) (pow x 4)))))) x) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(- (* -100 (/ (+ y (* 2 y)) x)) 100) |
(- (+ (* -100 (/ (+ y (* 2 y)) x)) (* -100 (/ (+ (* -2 (pow y 2)) (pow (+ y (* 2 y)) 2)) (pow x 2)))) 100) |
(- (+ (* -100 (/ (+ y (* 2 y)) x)) (+ (* -100 (/ (+ (* -2 (pow y 2)) (pow (+ y (* 2 y)) 2)) (pow x 2))) (* -100 (/ (+ (* (+ y (* 2 y)) (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (+ (* (+ y (* 2 y)) (+ (* -2 (pow y 2)) (pow (+ y (* 2 y)) 2))) (pow y 3))) (pow x 3))))) 100) |
(* 100 (pow x 3)) |
(* (pow x 3) (+ 100 (* 100 (/ (pow y 2) (pow x 2))))) |
(* (sqrt (/ 1 x)) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/4 (/ (* x (pow y 2)) (pow (sqrt -1) 2))) (pow y 3)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* 100 (* (sqrt x) (sqrt -1))) |
(* x (+ (* -50 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* 100 (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* x (+ (* -50 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* -50 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (sqrt -1)))) (* 100 (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* x (+ (* -50 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* -50 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (sqrt -1)))) (+ (* -50 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/4 (/ (* x (pow y 2)) (pow (sqrt -1) 2))) (pow y 3)) (sqrt -1)))) (* 100 (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (pow x 3)) |
(* (pow x 3) (- (+ (* 2 (/ y x)) (/ y x)) 1)) |
(* (pow x 3) (- (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ y x)))) 1)) |
(* (pow x 3) (- (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (+ (/ y x) (/ (pow y 3) (pow x 3)))))) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ y x)) 1)) |
(* (pow x 2) (- (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x))) 1)) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(* -1 (/ (- (* 100 (/ y x)) 100) x)) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* 100 y)) x)) 100) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* 100 y)) x)) 100) x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* -100 y)) x)) 100) |
(- (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* -100 y)) x)) 100) |
(- (* -1 (/ (+ (* -100 y) (* -100 (/ (pow y 2) x))) x)) 100) |
(- (* -1 (/ (+ (* -100 y) (* -1 (/ (+ (* -100 (/ (pow y 3) x)) (* 100 (pow y 2))) x))) x)) 100) |
(* -1 (/ (+ 100 (* -100 (/ (pow y 2) (pow x 2)))) x)) |
(* -1 (/ (- (+ 100 (* 100 (/ (pow y 4) (pow x 4)))) (* 100 (/ (pow y 2) (pow x 2)))) x)) |
(* -1 (/ (- (+ 100 (* -100 (/ (pow y 6) (pow x 6)))) (+ (* -100 (/ (pow y 4) (pow x 4))) (* 100 (/ (pow y 2) (pow x 2))))) x)) |
(- (* -1 (/ (+ (* -100 (/ (+ (* -1 (pow (+ y (* 2 y)) 2)) (* 2 (pow y 2))) x)) (* 100 (+ y (* 2 y)))) x)) 100) |
(- (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (+ (* -1 (* (+ y (* 2 y)) (+ (* -1 (pow (+ y (* 2 y)) 2)) (* 2 (pow y 2))))) (+ (* -1 (* (+ y (* 2 y)) (+ (* 2 (pow y 2)) (pow y 2)))) (pow y 3))) x)) (* 100 (+ (* -1 (pow (+ y (* 2 y)) 2)) (* 2 (pow y 2))))) x)) (* 100 (+ y (* 2 y)))) x)) 100) |
(* -1 (* (pow x 3) (- (* -100 (/ (pow y 2) (pow x 2))) 100))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt x) (* (pow y 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -1/4 (* x (pow y 2))) (pow y 3)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ (* -100 (* (sqrt (/ 1 x)) (sqrt -1))) (* 50 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1))))))) |
(* -1 (* x (+ (* -100 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* 50 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* 50 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))))))) |
(* -1 (* x (+ (* -100 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (/ (+ (* -50 (* (sqrt x) (* (pow y 2) (sqrt -1)))) (* -50 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -1/4 (* x (pow y 2))) (pow y 3)))))) (pow x 3))) (* 50 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ y (* 2 y)) x))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ y (+ (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) x)) (* 2 y))) x))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ y (+ (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (+ (* 2 (pow y 2)) (pow y 2))) x)) (* 2 y))) x))))) |
(* (pow x 2) (- (* -1 (/ (+ (* -2 y) (/ (pow y 2) x)) x)) 1)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(+ (* -100 (/ y (pow x 2))) (* 100 (/ 1 x))) |
(+ (* y (- (* 100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(+ (* y (- (* y (+ (* -100 (/ y (pow x 4))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(- (* y (- (* -100 (/ y (pow x 2))) (* 100 (/ 1 x)))) 100) |
(- (* y (- (* y (- (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))) 100) |
(- (* y (+ (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))) 100) |
(- (* y (+ (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))) 100) |
(- (* 100 (/ (pow y 2) (pow x 3))) (* 100 (/ 1 x))) |
(- (* (pow y 2) (+ (* -100 (/ (pow y 2) (pow x 5))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 x))) |
(- (* (pow y 2) (+ (* (pow y 2) (- (* 100 (/ (pow y 2) (pow x 7))) (* 100 (/ 1 (pow x 5))))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 x))) |
(- (* -300 (/ y x)) 100) |
(- (* y (- (* 100 (* y (- (* 2 (/ 1 (pow x 2))) (* 3 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 4)))))) (* 300 (/ 1 x)))) 100) |
(- (* y (- (* y (+ (* -100 (* y (+ (* -1 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* 2 (/ 1 (pow x 2))) (* 3 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 4))))) (pow x 3))) (+ (* 3 (/ (+ (* -2 x) (* -1 x)) (pow x 4))) (/ 1 (pow x 3)))))) (* 100 (- (* 2 (/ 1 (pow x 2))) (* 3 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 4))))))) (* 300 (/ 1 x)))) 100) |
(+ (* 100 (* x (pow y 2))) (* 100 (pow x 3))) |
(+ (* y (+ (* -1/2 (* (sqrt x) (/ (* y (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))))) (* (sqrt (/ 1 x)) (sqrt -1))) |
(+ (* y (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* y (+ (* -1/2 (* (sqrt x) (/ (* y (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow x 4)))) (sqrt -1)))) (* -1/2 (* (sqrt x) (/ (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3))) (sqrt -1)))))))) (* (sqrt (/ 1 x)) (sqrt -1))) |
(- y x) |
(+ (* -50 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* 100 (* (sqrt x) (sqrt -1)))) |
(+ (* 100 (* (sqrt x) (sqrt -1))) (* y (+ (* -50 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* -50 (* (sqrt (pow x 3)) (/ (* y (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3)))) (sqrt -1))))))) |
(+ (* 100 (* (sqrt x) (sqrt -1))) (* y (+ (* -50 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -50 (* (sqrt (pow x 3)) (/ (* y (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow x 4)))) (sqrt -1)))) (* -50 (* (sqrt (pow x 3)) (/ (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 1 (pow x 3))) (sqrt -1))))))))) |
(+ (* -1 (pow x 3)) (* y (+ (* 2 (pow x 2)) (pow x 2)))) |
(+ (* -1 (pow x 3)) (* y (+ (* 2 (pow x 2)) (+ (* y (+ (* -2 x) (* -1 x))) (pow x 2))))) |
(+ (* -1 (pow x 3)) (* y (+ (* 2 (pow x 2)) (+ (* y (+ y (+ (* -2 x) (* -1 x)))) (pow x 2))))) |
(+ (* -1 (pow x 2)) (* 2 (* x y))) |
(+ (* -1 (pow x 2)) (* y (+ (* -1 y) (* 2 x)))) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/ (+ 100 (* -100 (/ x y))) y) |
(/ (- (+ 100 (* 100 (/ (pow x 2) (pow y 2)))) (* 100 (/ x y))) y) |
(/ (- (+ 100 (* -100 (/ (pow x 3) (pow y 3)))) (+ (* -100 (/ (pow x 2) (pow y 2))) (* 100 (/ x y)))) y) |
(* y (+ 1 (/ x y))) |
(/ (+ (* 100 x) (* 100 (/ (pow x 2) y))) y) |
(/ (+ (* 100 x) (+ (* 100 (/ (pow x 2) y)) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* 100 x) (+ (* 100 (/ (pow x 2) y)) (+ (* 100 (/ (pow x 3) (pow y 2))) (* 100 (/ (pow x 4) (pow y 3)))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 3) (pow y 2))) (* 100 x))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 3) (pow y 2))) (+ (* 100 x) (* 100 (/ (pow x 4) (pow y 3)))))) y) |
(/ (+ (* -100 x) (* 100 (/ (pow x 3) (pow y 2)))) (pow y 2)) |
(/ (+ (* -100 x) (+ (* -100 (/ (pow x 5) (pow y 4))) (* 100 (/ (pow x 3) (pow y 2))))) (pow y 2)) |
(/ (+ (* -100 x) (+ (* -100 (/ (pow x 5) (pow y 4))) (+ (* 100 (/ (pow x 3) (pow y 2))) (* 100 (/ (pow x 7) (pow y 6)))))) (pow y 2)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(/ (+ (* -100 (/ (* x (+ (* -2 x) (* -1 x))) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (* x (+ (* -2 x) (* -1 x))) y)) (+ (* 100 x) (* 100 (/ (- (pow x 3) (+ (* -1 (* x (pow (+ (* -2 x) (* -1 x)) 2))) (* x (+ (* 2 (pow x 2)) (pow x 2))))) (pow y 2))))) y) |
(/ (+ (* -100 (/ (* x (+ (* -2 x) (* -1 x))) y)) (+ (* -100 (/ (+ (* -1 (* x (* (+ (* -2 x) (* -1 x)) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 4)) (* (+ (* -2 x) (* -1 x)) (- (pow x 3) (+ (* -1 (* x (pow (+ (* -2 x) (* -1 x)) 2))) (* x (+ (* 2 (pow x 2)) (pow x 2)))))))) (pow y 3))) (+ (* 100 x) (* 100 (/ (- (pow x 3) (+ (* -1 (* x (pow (+ (* -2 x) (* -1 x)) 2))) (* x (+ (* 2 (pow x 2)) (pow x 2))))) (pow y 2)))))) y) |
(* (pow y 2) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) |
(+ (sqrt (/ 1 y)) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))) |
(+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* -1 (pow x 3)) (* 1/4 (* (pow x 2) y))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))) |
(* y (+ 1 (* -1 (/ x y)))) |
(+ (* 50 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* 100 (* x (sqrt (/ 1 y))))) |
(+ (* 50 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (+ (* 50 (* (pow x 3) (sqrt (/ 1 (pow y 5))))) (* 100 (* x (sqrt (/ 1 y)))))) |
(+ (* -50 (* (* x (+ (* -1 (pow x 3)) (* 1/4 (* (pow x 2) y)))) (sqrt (/ 1 (pow y 7))))) (+ (* 50 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (+ (* 50 (* (pow x 3) (sqrt (/ 1 (pow y 5))))) (* 100 (* x (sqrt (/ 1 y))))))) |
(* (pow y 3) (+ 1 (+ (* -2 (/ x y)) (* -1 (/ x y))))) |
(* (pow y 3) (+ 1 (+ (* -2 (/ x y)) (+ (* -1 (/ x y)) (+ (* 2 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))))))) |
(* (pow y 3) (+ 1 (+ (* -2 (/ x y)) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (* 2 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2)))))))) |
(* (pow y 2) (- (* 2 (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) 1)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* -1 (/ (- (* 100 (/ x y)) 100) y)) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 2) y)) (* 100 x)) y)) 100) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y)) (* 100 x)) y)) 100) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ (+ (* -100 x) (* -100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (pow x 4) y)) (* -100 (pow x 3))) y)) (* 100 (pow x 2))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (/ (pow x 3) y)) (* -100 (pow x 2))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (/ (pow x 4) y)) (* 100 (pow x 3))) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -100 (/ (* x (+ x (* 2 x))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* 100 (* x (+ x (* 2 x)))) (* 100 (/ (- (pow x 3) (+ (* -1 (* x (pow (+ x (* 2 x)) 2))) (* x (+ (* 2 (pow x 2)) (pow x 2))))) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -1 (/ (+ (* -100 (- (pow x 3) (+ (* -1 (* x (pow (+ x (* 2 x)) 2))) (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (* -100 (/ (+ (* -1 (* x (* (+ x (* 2 x)) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* (+ x (* 2 x)) (- (pow x 3) (+ (* -1 (* x (pow (+ x (* 2 x)) 2))) (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (pow x 4))) y))) y)) (* 100 (* x (+ x (* 2 x))))) y))) y)) |
(* -100 (/ (* x (pow (sqrt -1) 2)) y)) |
(* -1 (/ (+ (* 100 (* x (pow (sqrt -1) 2))) (* 100 (/ (* (pow x 2) (pow (sqrt -1) 2)) y))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -100 (* (pow x 2) (pow (sqrt -1) 2))) (* -100 (/ (* (pow x 3) (pow (sqrt -1) 2)) y))) y)) (* 100 (* x (pow (sqrt -1) 2)))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -100 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ (+ (* 100 (* (pow x 3) (pow (sqrt -1) 2))) (* 100 (/ (* (pow x 4) (pow (sqrt -1) 2)) y))) y))) y)) (* 100 (* x (pow (sqrt -1) 2)))) y)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))) |
(+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (* (pow x 2) (sqrt y))) (* 1/2 (* (sqrt (/ 1 y)) (+ (* -1 (pow x 3)) (* -1/4 (/ (* (pow x 2) y) (pow (sqrt -1) 2))))))) (pow y 3))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) |
(* -1 (* y (- (/ x y) 1))) |
(* 100 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))) |
(+ (* -50 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* 100 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))) |
(+ (* -50 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (+ (* -50 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (* 100 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))))) |
(+ (* -50 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (+ (* -1 (/ (+ (* 50 (* (* x (* (pow (sqrt -1) 2) (+ (* -1/4 (* (pow x 2) y)) (pow x 3)))) (sqrt (/ 1 y)))) (* 50 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt y)))) (pow y 3))) (* 100 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))))) |
(* -1 (* (pow y 3) (- (+ (* 2 (/ x y)) (/ x y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ (* -1 (+ x (* 2 x))) (+ (* 2 (/ (pow x 2) y)) (/ (pow x 2) y))) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ (* -1 (+ x (* 2 x))) (* -1 (/ (+ (* -1 (+ (* 2 (pow x 2)) (pow x 2))) (/ (pow x 3) y)) y))) y)) 1))) |
(* (pow y 2) (- (* -1 (/ (+ (* -2 x) (/ (pow x 2) y)) y)) 1)) |
| Outputs |
|---|
(* 100 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 100 binary64)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) y)) x) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 100 binary64)) (/.f64 #s(literal 100 binary64) (*.f64 y y))) x (/.f64 #s(literal 100 binary64) y)) x) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 #s(literal 100 binary64) (*.f64 y y))) x (/.f64 #s(literal 100 binary64) y)) x) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))) |
(fma.f64 (/.f64 x (*.f64 y y)) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) y)) |
(+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(fma.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 100 binary64)) (/.f64 #s(literal 100 binary64) (*.f64 y y))) x (/.f64 #s(literal 100 binary64) y)) |
(+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 #s(literal 100 binary64) (*.f64 y y))) x (/.f64 #s(literal 100 binary64) y)) |
y |
(+ x y) |
(+.f64 y x) |
(* x (+ (* 100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal 100 binary64) (/.f64 #s(literal 100 binary64) y)) x) |
(* x (+ (* x (+ (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 100 binary64) (/.f64 #s(literal 100 binary64) (*.f64 y y))) x (/.f64 #s(literal 100 binary64) y)) x) |
(* x (+ (* x (+ (* x (+ (* 100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 100 binary64) (/.f64 #s(literal 100 binary64) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal 100 binary64) (*.f64 y y))) x (/.f64 #s(literal 100 binary64) y)) x) |
(* x (+ (* x (- (* -100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -100 binary64)) (/.f64 #s(literal 100 binary64) (*.f64 y y))) x (/.f64 #s(literal 100 binary64) y)) x) |
(* x (+ (* x (- (* x (- (* 100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 100 binary64)) (/.f64 #s(literal 100 binary64) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 #s(literal 100 binary64) (*.f64 y y))) x (/.f64 #s(literal 100 binary64) y)) x) |
(* -100 (/ x (pow y 2))) |
(*.f64 (/.f64 x (*.f64 y y)) #s(literal -100 binary64)) |
(* x (- (* 100 (/ (pow x 2) (pow y 4))) (* 100 (/ 1 (pow y 2))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 100 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 100 binary64) (*.f64 y y))) x) |
(* x (- (* (pow x 2) (+ (* -100 (/ (pow x 2) (pow y 6))) (* 100 (/ 1 (pow y 4))))) (* 100 (/ 1 (pow y 2))))) |
(*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x)) (/.f64 #s(literal 100 binary64) (*.f64 y y))) x) |
(* x (- (* (pow x 2) (+ (* (pow x 2) (- (* 100 (/ (pow x 2) (pow y 8))) (* 100 (/ 1 (pow y 6))))) (* 100 (/ 1 (pow y 4))))) (* 100 (/ 1 (pow y 2))))) |
(*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 100 binary64)) (pow.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 100 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (/.f64 #s(literal 100 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x)) (/.f64 #s(literal 100 binary64) (*.f64 y y))) x) |
(* -100 x) |
(*.f64 #s(literal -100 binary64) x) |
(pow y 2) |
(*.f64 y y) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(* x (+ (* 300 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal 300 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 100 binary64) y)) x) |
(* x (+ (* x (+ (* -100 (* x (+ (* 3 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 5))) (* 2 (/ 1 (pow y 3)))))) (* 300 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -100 binary64) x) (fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -3 binary64)) (pow.f64 y #s(literal 5 binary64))) #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 300 binary64) (*.f64 y y))) x (/.f64 #s(literal 100 binary64) y)) x) |
(* x (+ (* x (+ (* x (+ (* -100 (+ (* 3 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 5))) (* 2 (/ 1 (pow y 3))))) (* 100 (* x (- (/ 1 (pow y 4)) (+ (* -1 (/ (* (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (+ (* 3 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 5))) (* 2 (/ 1 (pow y 3))))) (pow y 3))) (* 3 (/ (+ y (* 2 y)) (pow y 5))))))))) (* 300 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal -3 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -3 binary64)) (pow.f64 y #s(literal 5 binary64))) #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -3 binary64)) (pow.f64 y #s(literal 5 binary64))) #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -100 binary64))) x (/.f64 #s(literal 300 binary64) (*.f64 y y))) x (/.f64 #s(literal 100 binary64) y)) x) |
(* 100 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 100 binary64)) |
(* x (+ (* 100 (pow x 2)) (* 100 (pow y 2)))) |
(*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 y y (*.f64 x x))) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(+ (sqrt (/ 1 y)) (* x (+ (* 3/8 (* x (sqrt (/ 1 (pow y 5))))) (* 1/2 (sqrt (/ 1 (pow y 3))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64))) x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(+ (sqrt (/ 1 y)) (* x (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* x (+ (* 5/16 (* x (sqrt (/ 1 (pow y 7))))) (* 3/8 (sqrt (/ 1 (pow y 5))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal 3/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64))) x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(+ y (* -1 x)) |
(fma.f64 #s(literal -1 binary64) x y) |
(* 100 (* x (sqrt (/ 1 y)))) |
(*.f64 (*.f64 #s(literal 100 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* x (+ (* 50 (* x (sqrt (/ 1 (pow y 3))))) (* 100 (sqrt (/ 1 y))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 50 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 100 binary64))) x) |
(* x (+ (* 100 (sqrt (/ 1 y))) (* x (+ (* 75/2 (* x (sqrt (/ 1 (pow y 5))))) (* 50 (sqrt (/ 1 (pow y 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 75/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal 50 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 100 binary64))) x) |
(* x (+ (* 100 (sqrt (/ 1 y))) (* x (+ (* 50 (sqrt (/ 1 (pow y 3)))) (* x (+ (* 125/4 (* x (sqrt (/ 1 (pow y 7))))) (* 75/2 (sqrt (/ 1 (pow y 5)))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 125/4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (*.f64 #s(literal 75/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) x (*.f64 #s(literal 50 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 100 binary64))) x) |
(pow y 3) |
(pow.f64 y #s(literal 3 binary64)) |
(+ (* x (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (pow y 3)) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -3 binary64)) x (pow.f64 y #s(literal 3 binary64))) |
(+ (* x (+ (* -2 (pow y 2)) (+ (* -1 (pow y 2)) (* x (+ y (* 2 y)))))) (pow y 3)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) x (pow.f64 y #s(literal 3 binary64))) |
(+ (* x (+ (* -2 (pow y 2)) (+ (* -1 (pow y 2)) (* x (+ y (+ (* -1 x) (* 2 y))))))) (pow y 3)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) y (neg.f64 x)) y) x)) x (pow.f64 y #s(literal 3 binary64))) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(+ (* -1 (pow y 2)) (* 2 (* x y))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y) |
(+ (* -1 (pow y 2)) (* x (+ (* -1 x) (* 2 y)))) |
(fma.f64 (neg.f64 y) y (*.f64 (fma.f64 #s(literal 2 binary64) y (neg.f64 x)) x)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(-.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 100 binary64)) (*.f64 (/.f64 y x) #s(literal 100 binary64))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -100 binary64) #s(literal 100 binary64)) (fma.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal -100 binary64) x) (*.f64 (/.f64 y x) #s(literal 100 binary64)))) |
(/ 100 x) |
(/.f64 #s(literal 100 binary64) x) |
(/ (+ 100 (* -100 (/ y x))) x) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)) x) |
(/ (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) x) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 100 binary64)) (*.f64 (/.f64 y x) #s(literal 100 binary64))) x) |
(/ (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) x) |
(/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -100 binary64) #s(literal 100 binary64)) (fma.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal -100 binary64) x) (*.f64 (/.f64 y x) #s(literal 100 binary64)))) x) |
x |
(* x (+ 1 (/ y x))) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
-100 |
#s(literal -100 binary64) |
(- (* -100 (/ y x)) 100) |
(-.f64 (*.f64 (/.f64 y x) #s(literal -100 binary64)) #s(literal 100 binary64)) |
(- (* -100 (/ (pow y 2) (pow x 2))) (+ 100 (* 100 (/ y x)))) |
(-.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal -100 binary64) x)) (fma.f64 (/.f64 y x) #s(literal 100 binary64) #s(literal 100 binary64))) |
(- (* -100 (/ (pow y 3) (pow x 3))) (+ 100 (+ (* 100 (/ y x)) (* 100 (/ (pow y 2) (pow x 2)))))) |
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -100 binary64)) (fma.f64 #s(literal 100 binary64) (+.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) #s(literal 100 binary64))) |
(- (* 100 (/ y x)) 100) |
(-.f64 (*.f64 (/.f64 y x) #s(literal 100 binary64)) #s(literal 100 binary64)) |
(- (+ (* 100 (/ y x)) (* 100 (/ (pow y 2) (pow x 2)))) 100) |
(-.f64 (*.f64 #s(literal 100 binary64) (+.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))) #s(literal 100 binary64)) |
(- (+ (* -100 (/ (pow y 3) (pow x 3))) (+ (* 100 (/ y x)) (* 100 (/ (pow y 2) (pow x 2))))) 100) |
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(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/4 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* y (+ 1 (* -1 (/ x y)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal 1 binary64)) y) |
(+ (* 50 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* 100 (* x (sqrt (/ 1 y))))) |
(fma.f64 (*.f64 #s(literal 50 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 100 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(+ (* 50 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (+ (* 50 (* (pow x 3) (sqrt (/ 1 (pow y 5))))) (* 100 (* x (sqrt (/ 1 y)))))) |
(fma.f64 (*.f64 #s(literal 50 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 50 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal 100 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(+ (* -50 (* (* x (+ (* -1 (pow x 3)) (* 1/4 (* (pow x 2) y)))) (sqrt (/ 1 (pow y 7))))) (+ (* 50 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (+ (* 50 (* (pow x 3) (sqrt (/ 1 (pow y 5))))) (* 100 (* x (sqrt (/ 1 y))))))) |
(fma.f64 (*.f64 #s(literal -50 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/4 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 50 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 50 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal 100 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) |
(* (pow y 3) (+ 1 (+ (* -2 (/ x y)) (* -1 (/ x y))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -3 binary64) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ 1 (+ (* -2 (/ x y)) (+ (* -1 (/ x y)) (+ (* 2 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 y y))) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ 1 (+ (* -2 (/ x y)) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (* 2 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (- (* 2 (/ x y)) 1)) |
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y y)) |
(* (pow y 2) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) 1)) |
(*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 x x) y) x)) (neg.f64 y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(/.f64 (fma.f64 #s(literal -100 binary64) x (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x))) (neg.f64 y))) (neg.f64 y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/.f64 (fma.f64 #s(literal -100 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -100 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal 100 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -100 binary64))) (neg.f64 y))) (neg.f64 y))) (neg.f64 y)) |
(* -1 (/ (- (* 100 (/ x y)) 100) y)) |
(/.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 100 binary64)) #s(literal 100 binary64)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 2) y)) (* 100 x)) y)) 100) y)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 x x) y) x)) (neg.f64 y)) #s(literal 100 binary64)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y)) (* 100 x)) y)) 100) y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -100 binary64) x (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x))) (neg.f64 y))) (neg.f64 y)) #s(literal 100 binary64)) (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(* -1 (/ (+ (* -100 x) (* -100 (/ (pow x 2) y))) y)) |
(/.f64 (*.f64 #s(literal -100 binary64) (+.f64 x (/.f64 (*.f64 x x) y))) (neg.f64 y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y))) y)) |
(/.f64 (fma.f64 #s(literal -100 binary64) x (/.f64 (*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x))) (neg.f64 y))) (neg.f64 y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (pow x 4) y)) (* -100 (pow x 3))) y)) (* 100 (pow x 2))) y))) y)) |
(/.f64 (fma.f64 #s(literal -100 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 y))) (neg.f64 y))) (neg.f64 y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (/ (pow x 3) y)) (* -100 (pow x 2))) y))) y)) |
(/.f64 (fma.f64 #s(literal -100 binary64) x (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x))) (neg.f64 y))) (neg.f64 y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (/ (pow x 4) y)) (* 100 (pow x 3))) y))) y))) y)) |
(/.f64 (fma.f64 #s(literal -100 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -100 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal -100 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 100 binary64))) (neg.f64 y))) (neg.f64 y))) (neg.f64 y)) |
(* -1 (/ (+ (* -100 x) (* -100 (/ (* x (+ x (* 2 x))) y))) y)) |
(/.f64 (*.f64 #s(literal -100 binary64) (+.f64 x (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x x) y)))) (neg.f64 y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* 100 (* x (+ x (* 2 x)))) (* 100 (/ (- (pow x 3) (+ (* -1 (* x (pow (+ x (* 2 x)) 2))) (* x (+ (* 2 (pow x 2)) (pow x 2))))) y))) y))) y)) |
(/.f64 (fma.f64 #s(literal -100 binary64) x (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) x) x (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (neg.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) x))) y))) (neg.f64 y))) (neg.f64 y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -1 (/ (+ (* -100 (- (pow x 3) (+ (* -1 (* x (pow (+ x (* 2 x)) 2))) (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (* -100 (/ (+ (* -1 (* x (* (+ x (* 2 x)) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* (+ x (* 2 x)) (- (pow x 3) (+ (* -1 (* x (pow (+ x (* 2 x)) 2))) (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (pow x 4))) y))) y)) (* 100 (* x (+ x (* 2 x))))) y))) y)) |
(/.f64 (fma.f64 #s(literal -100 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (neg.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) x))) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) (*.f64 x x)) (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (neg.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) x))) (*.f64 #s(literal 3 binary64) x) (pow.f64 x #s(literal 4 binary64)))) y))) (neg.f64 y))) (neg.f64 y))) (neg.f64 y)) |
(* -100 (/ (* x (pow (sqrt -1) 2)) y)) |
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -100 binary64)) |
(* -1 (/ (+ (* 100 (* x (pow (sqrt -1) 2))) (* 100 (/ (* (pow x 2) (pow (sqrt -1) 2)) y))) y)) |
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 (neg.f64 x) x) y))) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -100 (* (pow x 2) (pow (sqrt -1) 2))) (* -100 (/ (* (pow x 3) (pow (sqrt -1) 2)) y))) y)) (* 100 (* x (pow (sqrt -1) 2)))) y)) |
(/.f64 (fma.f64 (neg.f64 x) #s(literal 100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y))) (neg.f64 y))) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -100 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ (+ (* 100 (* (pow x 3) (pow (sqrt -1) 2))) (* 100 (/ (* (pow x 4) (pow (sqrt -1) 2)) y))) y))) y)) (* 100 (* x (pow (sqrt -1) 2)))) y)) |
(/.f64 (fma.f64 (neg.f64 x) #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) #s(literal -100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) y))) (neg.f64 y))) (neg.f64 y))) (neg.f64 y)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) |
(+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(+ (* -1 (/ (+ (* -1/2 (* (pow x 2) (sqrt y))) (* 1/2 (* (sqrt (/ 1 y)) (+ (* -1 (pow x 3)) (* -1/4 (/ (* (pow x 2) y) (pow (sqrt -1) 2))))))) (pow y 3))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) y) #s(literal -1 binary64)) #s(literal -1/4 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sqrt.f64 y))) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) |
(* -1 (* y (- (/ x y) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(* 100 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal 100 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(+ (* -50 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* 100 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))) |
(fma.f64 (*.f64 #s(literal -50 binary64) (*.f64 (neg.f64 x) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 (neg.f64 x) #s(literal 100 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(+ (* -50 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (+ (* -50 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (* 100 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))))) |
(fma.f64 (*.f64 #s(literal -50 binary64) (*.f64 (neg.f64 x) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -50 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (*.f64 (neg.f64 x) #s(literal 100 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(+ (* -50 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (+ (* -1 (/ (+ (* 50 (* (* x (* (pow (sqrt -1) 2) (+ (* -1/4 (* (pow x 2) y)) (pow x 3)))) (sqrt (/ 1 y)))) (* 50 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt y)))) (pow y 3))) (* 100 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))))) |
(fma.f64 (*.f64 #s(literal -50 binary64) (*.f64 (neg.f64 x) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 50 binary64) (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 y) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (pow.f64 y #s(literal 3 binary64)))))) |
(* -1 (* (pow y 3) (- (+ (* 2 (/ x y)) (/ x y)) 1))) |
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) #s(literal 1 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ (* -1 (+ x (* 2 x))) (+ (* 2 (/ (pow x 2) y)) (/ (pow x 2) y))) y)) 1))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x x) y))) (neg.f64 y)) #s(literal 1 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ (* -1 (+ x (* 2 x))) (* -1 (/ (+ (* -1 (+ (* 2 (pow x 2)) (pow x 2))) (/ (pow x 3) y)) y))) y)) 1))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) x (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x x) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y))) (neg.f64 y)) #s(literal 1 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (- (* -1 (/ (+ (* -2 x) (/ (pow x 2) y)) y)) 1)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 x x) y)) (neg.f64 y)) #s(literal 1 binary64)) (*.f64 y y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 159 |
| 0 | 50 | 159 |
| 1 | 161 | 152 |
| 2 | 1204 | 131 |
| 0 | 9319 | 131 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (+.f64 y x))) x) |
(/.f64 #s(literal 100 binary64) #s(approx (+ x y) (+.f64 y x))) |
#s(approx (+ x y) (+.f64 y x)) |
(+.f64 y x) |
#s(approx (* (/ x (- y x)) 100) #s(literal -100 binary64)) |
(*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) |
(/.f64 (*.f64 #s(literal -100 binary64) x) (fma.f64 y y (*.f64 x x))) |
(*.f64 #s(literal -100 binary64) x) |
(fma.f64 y y (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 (-.f64 x y) (-.f64 y x)) (neg.f64 (-.f64 y x)))) |
(*.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 y y (*.f64 x x))) |
(*.f64 #s(literal 100 binary64) x) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 #s(literal 100 binary64) x))) |
(pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
(-.f64 y x) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 #s(literal 100 binary64) x)) |
(*.f64 (*.f64 (-.f64 x y) (-.f64 y x)) (neg.f64 (-.f64 y x))) |
(*.f64 (-.f64 x y) (-.f64 y x)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (-.f64 y x))) x) |
(*.f64 x (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (-.f64 y x)))) |
(*.f64 #s(literal 100 binary64) (/.f64 x #s(approx (+ x y) (-.f64 y x)))) |
(/.f64 (*.f64 x #s(literal 100 binary64)) (neg.f64 (neg.f64 #s(approx (+ x y) (-.f64 y x))))) |
(/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ x y) (-.f64 y x))) |
(/.f64 (*.f64 #s(literal -100 binary64) x) (neg.f64 #s(approx (+ x y) (-.f64 y x)))) |
(neg.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (neg.f64 #s(approx (+ x y) (-.f64 y x))))) |
(neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) #s(approx (+ x y) (-.f64 y x)))) |
(neg.f64 (*.f64 x (/.f64 #s(literal -100 binary64) #s(approx (+ x y) (-.f64 y x))))) |
(neg.f64 (*.f64 (/.f64 #s(literal -100 binary64) #s(approx (+ x y) (-.f64 y x))) x)) |
(/.f64 #s(literal -100 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ x y) (-.f64 y x)))))) |
(/.f64 #s(literal -100 binary64) (neg.f64 #s(approx (+ x y) (-.f64 y x)))) |
(/.f64 #s(literal 100 binary64) (neg.f64 (neg.f64 #s(approx (+ x y) (-.f64 y x))))) |
(/.f64 #s(literal 100 binary64) #s(approx (+ x y) (-.f64 y x))) |
(neg.f64 (/.f64 #s(literal -100 binary64) #s(approx (+ x y) (-.f64 y x)))) |
#s(approx (+ x y) (-.f64 y x)) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (-.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 y x)) |
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(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 y) y)) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (-.f64 y x) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (-.f64 y x))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (-.f64 y x) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (-.f64 y x))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 y y)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) y)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 x) (*.f64 y y)) |
(fma.f64 (neg.f64 (neg.f64 x)) x (*.f64 (neg.f64 y) y)) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 x x)) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 y) (*.f64 x x)) |
(fma.f64 (neg.f64 (neg.f64 y)) y (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 y) (neg.f64 (neg.f64 y)) (*.f64 x x)) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 (neg.f64 x)) (*.f64 y y)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 y) y)) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(fma.f64 (-.f64 y x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 y x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(fma.f64 (-.f64 y x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 y x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(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 (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 x) x)) |
(fma.f64 y (neg.f64 y) (*.f64 x x)) |
(fma.f64 y (-.f64 y x) (*.f64 x (-.f64 y x))) |
(fma.f64 y y (*.f64 (neg.f64 x) x)) |
(fma.f64 x (-.f64 x (neg.f64 y)) (*.f64 y (-.f64 y x))) |
(fma.f64 x (+.f64 x (neg.f64 y)) (*.f64 y (-.f64 y x))) |
(fma.f64 x (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) y)) |
(fma.f64 x (neg.f64 x) (*.f64 y y)) |
(fma.f64 x (-.f64 y x) (*.f64 y (-.f64 y x))) |
(fma.f64 x x (*.f64 (neg.f64 y) y)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(-.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(-.f64 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y))) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (-.f64 y x)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (-.f64 y x))) |
(+.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (-.f64 y x)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (-.f64 y x))) |
(+.f64 (*.f64 (-.f64 y x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) (*.f64 (-.f64 y x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(+.f64 (*.f64 (-.f64 y x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) (*.f64 (-.f64 y x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x 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 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x)))) |
(+.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(+.f64 (*.f64 x (-.f64 y x)) (*.f64 y (-.f64 y x))) |
(+.f64 (*.f64 y (-.f64 y x)) (*.f64 x (-.f64 y x))) |
(+.f64 (*.f64 y y) (*.f64 (neg.f64 x) x)) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) |
Compiled 35 449 to 3 873 computations (89.1% saved)
15 alts after pruning (6 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 143 | 3 | 1 146 |
| Fresh | 0 | 3 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 146 | 15 | 1 161 |
| Status | Accuracy | Program |
|---|---|---|
| 17.6% | (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (*.f64 (*.f64 (-.f64 x y) (-.f64 y x)) (neg.f64 (-.f64 y x)))) | |
| ✓ | 45.5% | (/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)) |
| ✓ | 99.3% | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| ✓ | 45.9% | (/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ (* (sqrt y) (sqrt y)) x) y)) |
| 22.2% | (*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 #s(approx (pow (- y x) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 100 binary64) x))) | |
| 28.5% | (*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (-.f64 x y)) | |
| 29.1% | (*.f64 (/.f64 (neg.f64 x) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) #s(literal 100 binary64))) | |
| ✓ | 99.8% | (*.f64 (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (+.f64 y x))) x) |
| 44.9% | (*.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) x) #s(literal 100 binary64)) | |
| 45.9% | (*.f64 #s(approx (/ x (- y x)) (/.f64 x y)) #s(literal 100 binary64)) | |
| ✓ | 45.9% | #s(approx (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
| ✓ | 54.3% | #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64))) |
| ✓ | 53.7% | #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64))) |
| ✓ | 54.0% | #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
| ✓ | 2.9% | #s(approx (* (/ x (- y x)) 100) #s(literal -100 binary64)) |
Compiled 580 to 264 computations (54.5% saved)
| Inputs |
|---|
#s(approx (* (/ x (- y x)) 100) #s(literal -100 binary64)) |
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
#s(approx (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
(*.f64 #s(approx (/ x (- y x)) (/.f64 x y)) #s(literal 100 binary64)) |
(/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ (* (sqrt y) (sqrt y)) x) y)) |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (+.f64 y x))) x) |
(*.f64 (/.f64 x (-.f64 y x)) #s(literal 100 binary64)) |
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
(*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (-.f64 x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) x) |
(/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) x) y #s(literal 100 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) |
(*.f64 (/.f64 (neg.f64 x) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) #s(literal 100 binary64))) |
(/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 x #s(literal 100 binary64)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (*.f64 (*.f64 (-.f64 x y) (-.f64 y x)) (neg.f64 (-.f64 y x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 (-.f64 x y) (-.f64 y x)) (neg.f64 (-.f64 y x)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) x) #s(literal 100 binary64)) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 #s(approx (pow (- y x) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 100 binary64) x))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 #s(literal 100 binary64) x))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (+.f64 y x))) x) |
3 calls:
| 7.0ms | y |
| 7.0ms | x |
| 7.0ms | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (* (/ x (- y x)) 100) #s(literal -100 binary64)) |
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
#s(approx (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
(*.f64 #s(approx (/ x (- y x)) (/.f64 x y)) #s(literal 100 binary64)) |
(/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ (* (sqrt y) (sqrt y)) x) y)) |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64))) |
| Outputs |
|---|
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64))) |
3 calls:
| 141.0ms | y |
| 3.0ms | x |
| 3.0ms | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.6% | 3 | x |
| 76.8% | 3 | y |
| 97.3% | 2 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (* (/ x (- y x)) 100) #s(literal -100 binary64)) |
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
#s(approx (/ (* x 100) (+ (* (sqrt y) (sqrt y)) x)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
(*.f64 #s(approx (/ x (- y x)) (/.f64 x y)) #s(literal 100 binary64)) |
(/.f64 (*.f64 x #s(literal 100 binary64)) #s(approx (+ (* (sqrt y) (sqrt y)) x) y)) |
| Outputs |
|---|
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) |
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
1 calls:
| 2.0ms | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 2 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (* (/ x (- y x)) 100) #s(literal -100 binary64)) |
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
| Outputs |
|---|
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.0% | 1 | x |
| 54.0% | 1 | y |
| 54.0% | 1 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
Compiled 9 to 10 computations (-11.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (/ x (- y x)) 100) #s(literal -100 binary64)) |
| Outputs |
|---|
#s(approx (* (/ x (- y x)) 100) #s(literal -100 binary64)) |
3 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.9% | 1 | y |
| 2.9% | 1 | x |
| 2.9% | 1 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.07605097419261087 | 99.88722284455183 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.07605097419261087 | 99.88722284455183 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 98 |
| 1 | 35 | 98 |
| 2 | 40 | 98 |
| 3 | 42 | 98 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (+.f64 y x))) x) |
(if (<=.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))) |
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
#s(approx (* (/ x (- y x)) 100) #s(literal -100 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) #s(approx (+ x y) (+.f64 y x))) x) |
(if (<=.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -100 binary64) #s(literal 100 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))) |
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) |
#s(approx (* (/ x (- y x)) 100) #s(literal -100 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 127 |
| 0 | 40 | 121 |
| 1 | 161 | 121 |
| 2 | 1060 | 121 |
| 0 | 9188 | 121 |
| 0 | 30 | 144 |
| 0 | 47 | 124 |
| 1 | 153 | 124 |
| 2 | 849 | 112 |
| 0 | 9421 | 112 |
| 0 | 620 | 2198 |
| 1 | 2149 | 2022 |
| 2 | 7854 | 1996 |
| 0 | 8180 | 1860 |
| 0 | 142 | 372 |
| 1 | 443 | 334 |
| 2 | 1348 | 322 |
| 3 | 6405 | 322 |
| 0 | 8086 | 296 |
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 29 | 13 |
| 2 | 165 | 13 |
| 3 | 1525 | 13 |
| 0 | 9534 | 13 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 169 to 82 computations (51.5% saved)
Compiled 228 to 88 computations (61.4% saved)
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