
Time bar (total: 7.9s)
| 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 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 93.8% | 93.6% | 6.2% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 15 to 14 computations (6.7% saved)
| 913.0ms | 8 256× | 0 | valid |
ival-mult: 281.0ms (43.9% of total)ival-sub: 183.0ms (28.6% of total)ival-add: 99.0ms (15.5% of total)ival-div: 57.0ms (8.9% of total)exact: 11.0ms (1.7% of total)ival-true: 7.0ms (1.1% of total)ival-assert: 4.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 3/4 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3/4 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 y #s(literal 3/4 binary64))) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 201.0ms | 446× | 0 | valid |
| 6.0ms | 40× | 1 | valid |
| 3.0ms | 16× | 2 | valid |
| 3.0ms | 10× | 3 | valid |
Compiled 179 to 52 computations (70.9% saved)
ival-mult: 173.0ms (89.8% of total)ival-add: 8.0ms (4.2% of total)ival-div: 4.0ms (2.1% of total)ival-sub: 3.0ms (1.6% of total)adjust: 2.0ms (1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 130 |
| 1 | 124 | 117 |
| 2 | 374 | 117 |
| 3 | 1076 | 117 |
| 4 | 3189 | 103 |
| 5 | 7238 | 103 |
| 0 | 12 | 13 |
| 0 | 18 | 13 |
| 1 | 30 | 13 |
| 2 | 58 | 13 |
| 3 | 110 | 13 |
| 4 | 212 | 13 |
| 5 | 467 | 9 |
| 6 | 939 | 9 |
| 7 | 1771 | 9 |
| 8 | 2890 | 9 |
| 9 | 4617 | 9 |
| 10 | 5350 | 9 |
| 11 | 5950 | 9 |
| 12 | 5957 | 9 |
| 13 | 5959 | 9 |
| 14 | 5959 | 9 |
| 15 | 6177 | 9 |
| 16 | 6286 | 9 |
| 17 | 6286 | 9 |
| 18 | 6286 | 9 |
| 19 | 6286 | 9 |
| 20 | 6318 | 9 |
| 21 | 6431 | 9 |
| 0 | 6431 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 4 binary64)) |
Compiled 13 to 12 computations (7.7% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
Compiled 13 to 12 computations (7.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) | |
| cost-diff | 128 | (+.f64 x (*.f64 y #s(literal 3/4 binary64))) | |
| cost-diff | 192 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) | |
| cost-diff | 320 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 54 |
| 0 | 18 | 54 |
| 1 | 30 | 54 |
| 2 | 58 | 54 |
| 3 | 110 | 54 |
| 4 | 212 | 54 |
| 5 | 467 | 48 |
| 6 | 939 | 48 |
| 7 | 1771 | 48 |
| 8 | 2890 | 48 |
| 9 | 4617 | 48 |
| 10 | 5350 | 48 |
| 11 | 5950 | 48 |
| 12 | 5957 | 48 |
| 13 | 5959 | 48 |
| 14 | 5959 | 48 |
| 15 | 6177 | 48 |
| 16 | 6286 | 48 |
| 17 | 6286 | 48 |
| 18 | 6286 | 48 |
| 19 | 6286 | 48 |
| 20 | 6318 | 48 |
| 21 | 6431 | 48 |
| 0 | 6431 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) |
#s(literal 4 binary64) |
(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z) |
(+.f64 x (*.f64 y #s(literal 3/4 binary64))) |
x |
(*.f64 y #s(literal 3/4 binary64)) |
y |
#s(literal 3/4 binary64) |
z |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 4 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 3 binary64)) |
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) |
(*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z) |
(-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) |
(+.f64 x (*.f64 y #s(literal 3/4 binary64))) |
(fma.f64 #s(literal 3/4 binary64) y x) |
x |
(*.f64 y #s(literal 3/4 binary64)) |
(*.f64 #s(literal 3/4 binary64) y) |
y |
#s(literal 3/4 binary64) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) | |
| accuracy | 0.0390625 | (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z) | |
| accuracy | 0.0703125 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) | |
| accuracy | 0.1171875 | (+.f64 x (*.f64 y #s(literal 3/4 binary64))) |
| 37.0ms | 223× | 0 | valid |
| 4.0ms | 5× | 3 | valid |
| 3.0ms | 20× | 1 | valid |
| 2.0ms | 8× | 2 | valid |
Compiled 110 to 26 computations (76.4% saved)
ival-add: 9.0ms (35.3% of total)ival-sub: 8.0ms (31.4% of total)ival-mult: 4.0ms (15.7% of total)ival-div: 2.0ms (7.8% of total)adjust: 1.0ms (3.9% 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 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
(+.f64 x (*.f64 y #s(literal 3/4 binary64))) |
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) |
(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z) |
| Outputs |
|---|
(* 4 (/ (- (* 3/4 y) z) y)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(* 3/4 y) |
(+ x (* 3/4 y)) |
(* 4 (- (* 3/4 y) z)) |
(+ (* 4 x) (* 4 (- (* 3/4 y) z))) |
(- (* 3/4 y) z) |
(- (+ x (* 3/4 y)) z) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
x |
(* x (+ 1 (* 3/4 (/ y x)))) |
(* 4 x) |
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x)))) |
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x))) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -3/4 (/ y x)) 1))) |
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) |
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(* 4 (- x z)) |
(+ (* 3 y) (* 4 (- x z))) |
(- x z) |
3 |
(+ 3 (* 4 (/ (- x z) y))) |
4 |
(+ 4 (* 4 (/ (- x z) y))) |
(* y (+ 3/4 (/ x y))) |
(* 3 y) |
(* y (+ 3 (* 4 (/ (- x z) y)))) |
(* y (- (+ 3/4 (/ x y)) (/ z y))) |
(* -1 (* y (- (* -1 (/ x y)) 3/4))) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4))) |
(* 4 (/ (+ x (* 3/4 y)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(* 4 (+ x (* 3/4 y))) |
(+ (* -4 z) (* 4 (+ x (* 3/4 y)))) |
(+ x (+ (* -1 z) (* 3/4 y))) |
(* -4 (/ z y)) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 z) |
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4)) |
(* -1 z) |
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1)) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | ((/ (* 4 (- (+ x (* y 3/4)) z)) y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ x (* y 3/4)) (* 4 (- (+ x (* y 3/4)) z)) (- (+ x (* y 3/4)) z)) |
| 2.0ms | z | @ | -inf | ((/ (* 4 (- (+ x (* y 3/4)) z)) y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ x (* y 3/4)) (* 4 (- (+ x (* y 3/4)) z)) (- (+ x (* y 3/4)) z)) |
| 1.0ms | x | @ | inf | ((/ (* 4 (- (+ x (* y 3/4)) z)) y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ x (* y 3/4)) (* 4 (- (+ x (* y 3/4)) z)) (- (+ x (* y 3/4)) z)) |
| 1.0ms | x | @ | 0 | ((/ (* 4 (- (+ x (* y 3/4)) z)) y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ x (* y 3/4)) (* 4 (- (+ x (* y 3/4)) z)) (- (+ x (* y 3/4)) z)) |
| 1.0ms | x | @ | -inf | ((/ (* 4 (- (+ x (* y 3/4)) z)) y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ x (* y 3/4)) (* 4 (- (+ x (* y 3/4)) z)) (- (+ x (* y 3/4)) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 491 |
| 1 | 446 | 491 |
| 2 | 1224 | 425 |
| 3 | 3679 | 407 |
| 0 | 8264 | 364 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 4 (/ (- (* 3/4 y) z) y)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(* 3/4 y) |
(+ x (* 3/4 y)) |
(* 4 (- (* 3/4 y) z)) |
(+ (* 4 x) (* 4 (- (* 3/4 y) z))) |
(- (* 3/4 y) z) |
(- (+ x (* 3/4 y)) z) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
x |
(* x (+ 1 (* 3/4 (/ y x)))) |
(* 4 x) |
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x)))) |
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x))) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -3/4 (/ y x)) 1))) |
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) |
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(* 4 (- x z)) |
(+ (* 3 y) (* 4 (- x z))) |
(- x z) |
3 |
(+ 3 (* 4 (/ (- x z) y))) |
4 |
(+ 4 (* 4 (/ (- x z) y))) |
(* y (+ 3/4 (/ x y))) |
(* 3 y) |
(* y (+ 3 (* 4 (/ (- x z) y)))) |
(* y (- (+ 3/4 (/ x y)) (/ z y))) |
(* -1 (* y (- (* -1 (/ x y)) 3/4))) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4))) |
(* 4 (/ (+ x (* 3/4 y)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(* 4 (+ x (* 3/4 y))) |
(+ (* -4 z) (* 4 (+ x (* 3/4 y)))) |
(+ x (+ (* -1 z) (* 3/4 y))) |
(* -4 (/ z y)) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 z) |
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4)) |
(* -1 z) |
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1)) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z))))) |
| Outputs |
|---|
(* 4 (/ (- (* 3/4 y) z) y)) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 3 binary64)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) |
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64)) |
(* 3/4 y) |
(*.f64 #s(literal 3/4 binary64) y) |
(+ x (* 3/4 y)) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(* 4 (- (* 3/4 y) z)) |
(fma.f64 #s(literal 3 binary64) y (*.f64 #s(literal -4 binary64) z)) |
(+ (* 4 x) (* 4 (- (* 3/4 y) z))) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) |
(- (* 3/4 y) z) |
(-.f64 (*.f64 #s(literal 3/4 binary64) y) z) |
(- (+ x (* 3/4 y)) z) |
(fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) |
(* 4 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64)) |
x |
(* x (+ 1 (* 3/4 (/ y x)))) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x)))) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) |
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x))) |
(fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(neg.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) z #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) y) x))) |
(* -1 (* x (- (* -3/4 (/ y x)) 1))) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) |
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1))) |
(fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) |
(* 4 (/ (- x z) y)) |
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) y) #s(literal 4 binary64)) |
(* 4 (- x z)) |
(*.f64 (-.f64 x z) #s(literal 4 binary64)) |
(+ (* 3 y) (* 4 (- x z))) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) |
(- x z) |
(-.f64 x z) |
3 |
#s(literal 3 binary64) |
(+ 3 (* 4 (/ (- x z) y))) |
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 4 (/ (- x z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64)) |
(* y (+ 3/4 (/ x y))) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (+ 3 (* 4 (/ (- x z) y)))) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) |
(* y (- (+ 3/4 (/ x y)) (/ z y))) |
(fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) |
(* -1 (* y (- (* -1 (/ x y)) 3/4))) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 3))) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4))) |
(fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) |
(* 4 (/ (+ x (* 3/4 y)) y)) |
(neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -3 binary64))) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64)) |
(* 4 (+ x (* 3/4 y))) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 4 binary64)) |
(+ (* -4 z) (* 4 (+ x (* 3/4 y)))) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) |
(+ x (+ (* -1 z) (* 3/4 y))) |
(fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) |
(* -4 (/ z y)) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64)) |
(* -4 z) |
(*.f64 #s(literal -4 binary64) z) |
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4)) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1)) |
(fma.f64 (/.f64 x z) z (-.f64 (*.f64 #s(literal 3/4 binary64) y) z)) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64)) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z))))) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z))))) |
(fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 45 |
| 0 | 18 | 45 |
| 1 | 74 | 45 |
| 2 | 629 | 45 |
| 0 | 8470 | 39 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
(+.f64 x (*.f64 y #s(literal 3/4 binary64))) |
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) |
(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y)) |
(*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y)) |
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)) |
(*.f64 #s(literal -4 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z))) |
(*.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y))) |
(*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 4 binary64)) |
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) (*.f64 (pow.f64 (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y))) |
(*.f64 (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) (*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) (*.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))) |
(*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 4 binary64))) |
(*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) (/.f64 #s(literal 4 binary64) y)) |
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 1 binary64))) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y)) |
(pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) (pow.f64 y #s(literal -1 binary64))) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal -1 binary64))) (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) y)) (-.f64 x (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) y)) (fma.f64 x x (*.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) (-.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 4 binary64) y)) (neg.f64 (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) y)) (neg.f64 (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 4 binary64) y)) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) y)) (+.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) (fma.f64 #s(literal 3/4 binary64) y x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) y)) (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 4 binary64))) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 4 binary64))) (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)))) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)) #s(literal -1 binary64)) y) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 4 binary64)) (*.f64 y (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 y (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) (*.f64 y (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z))) |
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)) y) |
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z))) |
(neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 z) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) z) (pow.f64 y #s(literal -1 binary64)))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z))) (pow.f64 y #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 z) #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) z))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) x) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 z) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -4 binary64) z) (pow.f64 y #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z))) (pow.f64 y #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 z) #s(literal 4 binary64)))) |
(+.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) z))) |
(+.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) #s(literal 4 binary64)))) |
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(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (*.f64 (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 6 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (+.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) (-.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) (fma.f64 #s(literal 3/4 binary64) y x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) (fma.f64 #s(literal 3/4 binary64) y x))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) (fma.f64 #s(literal 3/4 binary64) y x)))) (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) (-.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z))) |
(neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 4 binary64)) (pow.f64 (*.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 6 binary64)) (pow.f64 (*.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 4 binary64)) (*.f64 (*.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) (-.f64 (*.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (fma.f64 x x (*.f64 #s(literal -9/16 binary64) (*.f64 y y))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 3/4 binary64) y) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (*.f64 #s(literal 3/4 binary64) y) (fma.f64 #s(literal 3/4 binary64) y x))) (neg.f64 z)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 27/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 (*.f64 #s(literal 3/4 binary64) y) x)) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (*.f64 #s(literal -3/4 binary64) y) (-.f64 (*.f64 #s(literal 3/4 binary64) y) x))) (neg.f64 z)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 27/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 (*.f64 #s(literal 3/4 binary64) y) x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 (*.f64 #s(literal 3/4 binary64) y) x)) (-.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 (*.f64 #s(literal 3/4 binary64) y) x)) (*.f64 x x)))) (neg.f64 z)) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z (-.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))) (neg.f64 (/.f64 (*.f64 z z) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) (neg.f64 (/.f64 (*.f64 z z) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))))) |
(fma.f64 (/.f64 (fma.f64 x x (*.f64 #s(literal -9/16 binary64) (*.f64 y y))) (fma.f64 x x (*.f64 #s(literal -9/16 binary64) (*.f64 y y)))) (fma.f64 #s(literal 3/4 binary64) y x) (neg.f64 z)) |
(fma.f64 (fma.f64 #s(literal 9/16 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/4 binary64) y z)) x) |
(fma.f64 (fma.f64 (*.f64 #s(literal 9/16 binary64) y) y (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 3/4 binary64) y) x)) (neg.f64 z)) |
(fma.f64 (pow.f64 (-.f64 x (*.f64 #s(literal 3/4 binary64) y)) #s(literal -1 binary64)) (fma.f64 x x (*.f64 #s(literal -9/16 binary64) (*.f64 y y))) (neg.f64 z)) |
(fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 (*.f64 #s(literal 3/4 binary64) y) x) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 27/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 z)) |
(fma.f64 (fma.f64 #s(literal 27/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 9/16 binary64) y) y (*.f64 z (+.f64 z (*.f64 #s(literal 3/4 binary64) y))))) x) |
(fma.f64 (neg.f64 (fma.f64 x x (*.f64 #s(literal -9/16 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 #s(literal 3/4 binary64) y)))) (neg.f64 z)) |
(fma.f64 (neg.f64 (fma.f64 #s(literal 27/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 (*.f64 #s(literal 3/4 binary64) y) x) (*.f64 x x)))) (neg.f64 z)) |
(fma.f64 #s(literal -1 binary64) z (fma.f64 #s(literal 3/4 binary64) y x)) |
(fma.f64 (fma.f64 x x (*.f64 #s(literal -9/16 binary64) (*.f64 y y))) (pow.f64 (-.f64 x (*.f64 #s(literal 3/4 binary64) y)) #s(literal -1 binary64)) (neg.f64 z)) |
(fma.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (pow.f64 (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))))) |
(fma.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 (*.f64 #s(literal 3/4 binary64) y) x) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 3/4 binary64) y x) (pow.f64 (fma.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 (*.f64 #s(literal 3/4 binary64) y) x) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 z)) |
(fma.f64 (fma.f64 #s(literal 27/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/16 binary64) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 #s(literal 3/4 binary64) y))))) (neg.f64 z)) |
(fma.f64 (fma.f64 #s(literal 27/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 (*.f64 #s(literal 3/4 binary64) y) x) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 z)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/4 binary64) y x) (neg.f64 z)) |
(fma.f64 (fma.f64 #s(literal 3/4 binary64) y x) (*.f64 (-.f64 x (*.f64 #s(literal 3/4 binary64) y)) (pow.f64 (-.f64 x (*.f64 #s(literal 3/4 binary64) y)) #s(literal -1 binary64))) (neg.f64 z)) |
(fma.f64 #s(literal 3/4 binary64) y (fma.f64 #s(literal -1 binary64) z x)) |
(fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) |
(fma.f64 y #s(literal 3/4 binary64) (fma.f64 #s(literal -1 binary64) z x)) |
(fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) |
(-.f64 (+.f64 (neg.f64 z) (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 3/4 binary64) y)))) (/.f64 (pow.f64 (*.f64 #s(literal 3/4 binary64) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 3/4 binary64) y)))) |
(-.f64 (+.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 0 binary64)) z) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)))) (/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) #s(literal 2 binary64)) (-.f64 x (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) (/.f64 (*.f64 z z) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 3/4 binary64) y))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3/4 binary64) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 3/4 binary64) y))) z)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 3/4 binary64) y))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3/4 binary64) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 3/4 binary64) y))) (neg.f64 z))) |
(-.f64 #s(literal 0 binary64) (-.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) |
(-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) |
(-.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 z x)) |
(+.f64 (fma.f64 #s(literal -1 binary64) z (*.f64 #s(literal 3/4 binary64) y)) x) |
(+.f64 (fma.f64 #s(literal -1 binary64) z x) (*.f64 #s(literal 3/4 binary64) y)) |
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))) (neg.f64 (/.f64 (*.f64 z z) (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x))))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z (fma.f64 #s(literal 3/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)))))) |
(+.f64 (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z)) x) |
(+.f64 (neg.f64 z) (fma.f64 #s(literal 3/4 binary64) y x)) |
(+.f64 (fma.f64 #s(literal 3/4 binary64) y x) (neg.f64 z)) |
(+.f64 (*.f64 #s(literal 3/4 binary64) y) (fma.f64 #s(literal -1 binary64) z x)) |
(+.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 x z)) |
(+.f64 x (fma.f64 #s(literal 3/4 binary64) y (neg.f64 z))) |
Compiled 13 173 to 1 961 computations (85.1% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 456 | 7 | 463 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 457 | 7 | 464 |
| Status | Accuracy | Program |
|---|---|---|
| 71.4% | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (+ x (* y 3/4)) z) (-.f64 x z))) y)) | |
| ▶ | 41.6% | (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal 4 binary64) x)) y)) |
| 53.0% | (*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))) | |
| ▶ | 99.8% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))) |
| ▶ | 68.1% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) |
| ▶ | 69.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) |
| ▶ | 35.2% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
Compiled 304 to 230 computations (24.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 4 binary64) x) | |
| cost-diff | 0 | #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal 4 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal 4 binary64) x)) y) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal 4 binary64) x)) y)) | |
| cost-diff | 0 | (/.f64 #s(literal -4 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) | |
| cost-diff | 128 | (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 4 binary64) y) | |
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 181 |
| 0 | 43 | 181 |
| 1 | 76 | 181 |
| 2 | 134 | 181 |
| 3 | 248 | 181 |
| 4 | 523 | 181 |
| 5 | 1348 | 161 |
| 6 | 3451 | 161 |
| 7 | 5889 | 161 |
| 8 | 6221 | 161 |
| 9 | 6305 | 161 |
| 10 | 6328 | 161 |
| 11 | 6352 | 161 |
| 12 | 6703 | 161 |
| 13 | 6882 | 161 |
| 14 | 6882 | 161 |
| 15 | 6882 | 161 |
| 16 | 6882 | 161 |
| 17 | 6934 | 161 |
| 18 | 7057 | 161 |
| 0 | 7057 | 156 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64)) |
(-.f64 x z) |
x |
z |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64)) |
#s(literal -4 binary64) |
(/.f64 z y) |
z |
y |
#s(literal 4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) |
(neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) |
(/.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
y |
x |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal 4 binary64) x)) y)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal 4 binary64) x)) y) |
#s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal 4 binary64) x)) |
(*.f64 #s(literal 4 binary64) x) |
#s(literal 4 binary64) |
x |
y |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(-.f64 x z) |
x |
z |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 4 binary64))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64)) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 4 binary64)) |
#s(literal -4 binary64) |
(/.f64 z y) |
z |
y |
#s(literal 4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))) |
(neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))) |
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64)) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) |
(fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)) |
(/.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
y |
x |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal 4 binary64) x)) y)) |
(-.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal 4 binary64) x)) y) |
(/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) |
#s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal 4 binary64) x)) |
#s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) x) |
(*.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
x |
y |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal 4 binary64) x)) y)) | |
| accuracy | 0 | (*.f64 #s(literal 4 binary64) x) | |
| accuracy | 0.0703125 | (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal 4 binary64) x)) y) | |
| accuracy | 41.43452789662634 | #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal 4 binary64) x)) | |
| accuracy | 0 | (/.f64 #s(literal -4 binary64) y) | |
| accuracy | 0 | (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))) | |
| accuracy | 0.09765625 | (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) | |
| accuracy | 19.56591112169151 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64)) | |
| accuracy | 20.425992743854447 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) | |
| accuracy | 41.44293062527825 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) | |
| accuracy | 0 | (/.f64 #s(literal 4 binary64) y) | |
| accuracy | 0 | (-.f64 x z) | |
| accuracy | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))) | |
| accuracy | 0.158535009768442 | (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64)) |
| 114.0ms | 233× | 0 | valid |
| 4.0ms | 15× | 1 | valid |
| 2.0ms | 5× | 2 | valid |
| 2.0ms | 3× | 3 | valid |
Compiled 330 to 58 computations (82.4% saved)
ival-mult: 40.0ms (61.8% of total)ival-div: 9.0ms (13.9% of total)ival-sub: 7.0ms (10.8% of total)ival-add: 6.0ms (9.3% of total)adjust: 2.0ms (3.1% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64)) |
(-.f64 x z) |
(/.f64 #s(literal 4 binary64) y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64)) |
(/.f64 z y) |
(neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) |
(/.f64 #s(literal -4 binary64) y) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal 4 binary64) x)) y)) |
(/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal 4 binary64) x)) y) |
#s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal 4 binary64) x)) |
(*.f64 #s(literal 4 binary64) x) |
| Outputs |
|---|
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(+ 4 (* -4 (/ z y))) |
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(* -1 z) |
(- x z) |
4 |
(+ 4 (* 4 (/ x y))) |
-4 |
(- (* -4 (/ x y)) 4) |
(* 4 (/ (- (* 3/4 y) z) y)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(* 4 (- (* 3/4 y) z)) |
(+ (* 4 x) (* 4 (- (* 3/4 y) z))) |
(* 4 x) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))) |
(* -4 (/ x y)) |
(* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (/ z x) 1))) |
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) |
(* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(/ 4 y) |
(* -4 (/ z y)) |
(/ (+ (* -4 z) (* 4 y)) y) |
(/ z y) |
(/ (- (* 4 y) (* -4 x)) y) |
(/ (+ (* -4 x) (* -4 y)) y) |
(/ -4 y) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(* 4 (- x z)) |
(+ (* 3 y) (* 4 (- x z))) |
(+ 4 (* 4 (/ (- x z) y))) |
3 |
(+ 3 (* 4 (/ (- x z) y))) |
(* 3 y) |
(* y (+ 3 (* 4 (/ (- x z) y)))) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 3))) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(+ x (* -1 z)) |
(* 4 (/ (+ x (* 3/4 y)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(* 4 (+ x (* 3/4 y))) |
(+ (* -4 z) (* 4 (+ x (* 3/4 y)))) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y)))) |
(* z (- (/ x z) 1)) |
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* -4 z) |
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z))))) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (- x z) (/ 4 y)) 4) (- x z) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* -4 (/ z y)) 4) (/ z y) (neg (+ (* (/ -4 y) x) -4)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ -4 y) x) -4) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 (- (+ x (* y 3/4)) z)) y) (* 4 (- (+ x (* y 3/4)) z)) (* 4 x)) |
| 2.0ms | y | @ | 0 | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (- x z) (/ 4 y)) 4) (- x z) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* -4 (/ z y)) 4) (/ z y) (neg (+ (* (/ -4 y) x) -4)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ -4 y) x) -4) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 (- (+ x (* y 3/4)) z)) y) (* 4 (- (+ x (* y 3/4)) z)) (* 4 x)) |
| 2.0ms | y | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (- x z) (/ 4 y)) 4) (- x z) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* -4 (/ z y)) 4) (/ z y) (neg (+ (* (/ -4 y) x) -4)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ -4 y) x) -4) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 (- (+ x (* y 3/4)) z)) y) (* 4 (- (+ x (* y 3/4)) z)) (* 4 x)) |
| 2.0ms | x | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (- x z) (/ 4 y)) 4) (- x z) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* -4 (/ z y)) 4) (/ z y) (neg (+ (* (/ -4 y) x) -4)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ -4 y) x) -4) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 (- (+ x (* y 3/4)) z)) y) (* 4 (- (+ x (* y 3/4)) z)) (* 4 x)) |
| 2.0ms | y | @ | -inf | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (- x z) (/ 4 y)) 4) (- x z) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* -4 (/ z y)) 4) (/ z y) (neg (+ (* (/ -4 y) x) -4)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ -4 y) x) -4) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 (- (+ x (* y 3/4)) z)) y) (* 4 (- (+ x (* y 3/4)) z)) (* 4 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 173 | 603 |
| 1 | 520 | 603 |
| 2 | 1479 | 471 |
| 3 | 4385 | 471 |
| 4 | 7912 | 469 |
| 0 | 8777 | 422 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(+ 4 (* -4 (/ z y))) |
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(* -1 z) |
(- x z) |
4 |
(+ 4 (* 4 (/ x y))) |
-4 |
(- (* -4 (/ x y)) 4) |
(* 4 (/ (- (* 3/4 y) z) y)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(* 4 (- (* 3/4 y) z)) |
(+ (* 4 x) (* 4 (- (* 3/4 y) z))) |
(* 4 x) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))) |
(* -4 (/ x y)) |
(* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (/ z x) 1))) |
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) |
(* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(/ 4 y) |
(* -4 (/ z y)) |
(/ (+ (* -4 z) (* 4 y)) y) |
(/ z y) |
(/ (- (* 4 y) (* -4 x)) y) |
(/ (+ (* -4 x) (* -4 y)) y) |
(/ -4 y) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(* 4 (- x z)) |
(+ (* 3 y) (* 4 (- x z))) |
(+ 4 (* 4 (/ (- x z) y))) |
3 |
(+ 3 (* 4 (/ (- x z) y))) |
(* 3 y) |
(* y (+ 3 (* 4 (/ (- x z) y)))) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 3))) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(+ x (* -1 z)) |
(* 4 (/ (+ x (* 3/4 y)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(* 4 (+ x (* 3/4 y))) |
(+ (* -4 z) (* 4 (+ x (* 3/4 y)))) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y)))) |
(* z (- (/ x z) 1)) |
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* -4 z) |
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z))))) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z))))) |
| Outputs |
|---|
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(+ 4 (* -4 (/ z y))) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) |
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 4 (/ x y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
-4 |
#s(literal -4 binary64) |
(- (* -4 (/ x y)) 4) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) |
(* 4 (/ (- (* 3/4 y) z) y)) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 3 binary64)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 3 binary64)) |
(* 4 (- (* 3/4 y) z)) |
(fma.f64 #s(literal 3 binary64) y (*.f64 #s(literal -4 binary64) z)) |
(+ (* 4 x) (* 4 (- (* 3/4 y) z))) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) |
(* 4 x) |
(*.f64 x #s(literal 4 binary64)) |
(* 4 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(* -4 (/ x y)) |
(*.f64 #s(literal -4 binary64) (/.f64 x y)) |
(* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 3 binary64)) |
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x)))) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x z) |
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 3 binary64)) |
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) |
(* 4 (/ (- x z) y)) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(* -4 (/ z y)) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(/ (+ (* -4 z) (* 4 y)) y) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) |
(/ z y) |
(/.f64 z y) |
(/ (- (* 4 y) (* -4 x)) y) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(/ (+ (* -4 x) (* -4 y)) y) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 3 binary64)) |
(* 4 (- x z)) |
(*.f64 (-.f64 x z) #s(literal 4 binary64)) |
(+ (* 3 y) (* 4 (- x z))) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) |
(+ 4 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (+ 3 (* 4 (/ (- x z) y)))) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 3))) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y x) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(+ x (* -1 z)) |
(-.f64 x z) |
(* 4 (/ (+ x (* 3/4 y)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y x) y) #s(literal 4 binary64)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 3 binary64)) |
(* 4 (+ x (* 3/4 y))) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 4 binary64)) |
(+ (* -4 z) (* 4 (+ x (* 3/4 y)))) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 3 binary64)) |
(* -4 z) |
(*.f64 #s(literal -4 binary64) z) |
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4)) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z))))) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 3 binary64)) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z))))) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 165 |
| 0 | 43 | 165 |
| 1 | 193 | 165 |
| 2 | 1537 | 165 |
| 0 | 8718 | 152 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64)) |
(-.f64 x z) |
(/.f64 #s(literal 4 binary64) y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64)) |
(/.f64 z y) |
(neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) |
(/.f64 #s(literal -4 binary64) y) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal 4 binary64) x)) y)) |
(/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal 4 binary64) x)) y) |
#s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal 4 binary64) x)) |
(*.f64 #s(literal 4 binary64) x) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal -4 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (-.f64 x z) #s(literal 4 binary64)))) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal -4 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (-.f64 x z) #s(literal 4 binary64)))) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal -4 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal -4 binary64))) (fma.f64 (/.f64 #s(literal 16 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal -4 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal -4 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal -4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (-.f64 x z) #s(literal 4 binary64)))) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal -4 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal -4 binary64)) #s(literal 16 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal -4 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal -4 binary64)))) |
(/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal -4 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (-.f64 x z) #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (-.f64 x z) #s(literal 4 binary64)))) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal -4 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal -4 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (-.f64 x z) #s(literal 4 binary64)))) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)))))) |
(/.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (-.f64 x z) #s(literal 4 binary64)))))) |
(/.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (-.f64 x z) #s(literal 4 binary64)))) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal -4 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (-.f64 x z) #s(literal 4 binary64)))) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64))))) |
(fma.f64 (/.f64 (-.f64 x z) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64)) |
(fma.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) y) (/.f64 (pow.f64 (+.f64 z x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (/.f64 (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(fma.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 4 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 x z) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 4 binary64)) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64)) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(fma.f64 #s(literal 4 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 x z)) #s(literal 4 binary64)) |
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal -4 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (pow.f64 (+.f64 z x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z))) #s(literal -1 binary64)) |
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(pow.f64 (/.f64 (fma.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) (-.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y))) (/.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) (-.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) (-.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) (-.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) (-.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) (-.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64)))) y) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64)))) (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)))) |
(+.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64)))) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64)))) |
(*.f64 (neg.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64)))) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) |
(pow.f64 (/.f64 (/.f64 y #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64)))))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))))) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64)))) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64)))) (neg.f64 y)) |
(/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64)))) y)) |
(neg.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64))) |
#s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) |
(*.f64 x #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) x) |
Compiled 10 479 to 1 173 computations (88.8% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 323 | 4 | 327 |
| Fresh | 1 | 1 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 327 | 7 | 334 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.0% | (*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
| ▶ | 69.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
| ✓ | 68.1% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) |
| ▶ | 66.8% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
| ▶ | 37.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
| ▶ | 34.9% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))) |
| ✓ | 35.2% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
Compiled 289 to 213 computations (26.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) | |
| cost-diff | 128 | (neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 128 | (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64))) | |
| cost-diff | 320 | (*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | (/.f64 (-.f64 x z) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -4 binary64) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -4 binary64) y) z) | |
| cost-diff | 0 | #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))) | |
| cost-diff | 0 | (/.f64 #s(literal 4 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 349 |
| 0 | 70 | 345 |
| 1 | 142 | 342 |
| 2 | 298 | 340 |
| 3 | 1149 | 340 |
| 4 | 6869 | 340 |
| 0 | 8677 | 327 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
x |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))) |
#s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(/.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
y |
z |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
#s(literal 4 binary64) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 3 binary64)) |
(/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) |
(-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) |
(fma.f64 #s(literal 3/4 binary64) y x) |
#s(literal 3/4 binary64) |
y |
x |
z |
#s(literal 3 binary64) |
#s(literal 64 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) |
(*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) |
#s(literal 16 binary64) |
#s(literal 4 binary64) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
x |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))) |
#s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(/.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
y |
z |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
#s(literal 4 binary64) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 4 binary64)) y) (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) #s(literal -1 binary64))) |
(neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 3 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 3 binary64)) |
(/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) |
(/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) |
(-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) |
(fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) |
(fma.f64 #s(literal 3/4 binary64) y x) |
#s(literal 3/4 binary64) |
y |
x |
z |
#s(literal 3 binary64) |
#s(literal 64 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 1 binary64))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 4 binary64)) y) (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 1 binary64)) |
(-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) |
(fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) |
(*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) |
(*.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y)) |
#s(literal 16 binary64) |
#s(literal 4 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12794877930532605 | (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 0.1403312988422101 | (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 3 binary64)) | |
| accuracy | 0.16863251953688402 | (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) | |
| accuracy | 28.621917359749308 | (*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))) | |
| accuracy | 0 | (-.f64 x z) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 x z) y) | |
| accuracy | 0.0078125 | (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) | |
| accuracy | 21.23846852852424 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.00390625 | (*.f64 (/.f64 x y) #s(literal 4 binary64)) | |
| accuracy | 40.33977363605263 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal -4 binary64) y) | |
| accuracy | 0.1953125 | (*.f64 (/.f64 #s(literal -4 binary64) y) z) | |
| accuracy | 20.425992743854447 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))) | |
| accuracy | 32.66799710711054 | #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) | |
| accuracy | 0 | (/.f64 #s(literal 4 binary64) y) | |
| accuracy | 0.09765625 | (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) | |
| accuracy | 19.56591112169151 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
| 163.0ms | 224× | 0 | valid |
| 18.0ms | 5× | 3 | valid |
| 11.0ms | 20× | 1 | valid |
| 5.0ms | 7× | 2 | valid |
Compiled 684 to 95 computations (86.1% saved)
ival-add: 111.0ms (63.5% of total)ival-div: 28.0ms (16% of total)ival-mult: 19.0ms (10.9% of total)ival-sub: 5.0ms (2.9% of total)adjust: 4.0ms (2.3% of total)ival-pow: 4.0ms (2.3% of total)ival-neg: 3.0ms (1.7% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))) |
#s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(/.f64 #s(literal -4 binary64) y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/.f64 x y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) |
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
4 |
(+ 4 (* 4 (/ x y))) |
(* 4 (/ x y)) |
(/ x y) |
(* -4 (/ z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* -1 z) |
(- x z) |
(/ (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3)))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))) |
(+ (* 64 (/ (pow (- (* 3/4 y) z) 3) (* (pow y 3) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))))) (+ (* x (- (* 64 (/ (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))))) |
(+ (* 64 (/ (pow (- (* 3/4 y) z) 3) (* (pow y 3) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))))) (+ (* x (- (+ (* 64 (/ (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))) (* x (- (* 64 (/ (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))) (+ (* 16 (/ (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3)))) (* (pow y 2) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2)))) (/ (* (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2)))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))))))) (/ (* (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))))) |
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(* -1 (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3))))) |
(- (* -64 (* x (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))))) (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3))))) |
(- (* x (- (* -64 (* x (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))))) (* 64 (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3)))))) (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3))))) |
(- (* x (- (* x (- (* -64 (/ x (pow y 3))) (* 64 (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3))))))) (* 64 (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3)))))) (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3))))) |
(* -1 (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))) |
(- (* x (- (* 4 (/ 1 y)) (* 32 (/ (- (* 3/4 y) z) (pow y 2))))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))) |
(- (* x (- (+ (* -16 (/ x (pow y 2))) (* 4 (/ 1 y))) (* 32 (/ (- (* 3/4 y) z) (pow y 2))))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))) |
(- (* 16 (/ (- (* 3/4 y) z) y)) 4) |
(- (+ (* 16 (/ x y)) (* 16 (/ (- (* 3/4 y) z) y))) 4) |
(+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) |
(+ 1 (+ (* x (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))) |
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(/ (pow (- (* 3/4 y) z) 3) (pow y 3)) |
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(+ (* x (+ (* x (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3))))) (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))))) (/ (pow (- (* 3/4 y) z) 3) (pow y 3))) |
(+ (* x (+ (* x (- (+ (* 9/4 (/ 1 (pow y 2))) (/ x (pow y 3))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3))))) (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))))) (/ (pow (- (* 3/4 y) z) 3) (pow y 3))) |
(/ -1 (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))) |
(- (/ (* x (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2)) (/ 1 (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))) |
(- (* x (- (* x (- (* 16 (/ 1 (* (pow y 2) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2)))) (/ (pow (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y))) 2) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 3)))) (* -1 (/ (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2))))) (/ 1 (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))) |
(- (* x (- (* x (- (+ (* -1 (* x (+ (* 16 (/ (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (* (pow y 2) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 3)))) (/ (* (- (* 16 (/ 1 (* (pow y 2) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2)))) (/ (pow (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y))) 2) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 3))) (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))))) (* 16 (/ 1 (* (pow y 2) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2))))) (/ (pow (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y))) 2) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 3)))) (* -1 (/ (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2))))) (/ 1 (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (- (+ (* 4 (/ (* (pow y 2) (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3))))) x)) (* 4 (/ 1 y))) (* 1/4 (/ (* y (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))) x)))) |
(* x (- (+ (* 4 (/ (* (pow y 2) (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3)))) (pow x 2))) (+ (* 4 (/ (* (pow y 2) (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3))))) x)) (* 4 (/ 1 y)))) (+ (* 1/16 (/ (* (pow y 2) (* (- (* 4 (* (pow y 2) (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))))) (* 1/4 (* y (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y))))) (pow x 2))) (+ (* 1/4 (/ (* y (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y))) (pow x 2))) (* 1/4 (/ (* y (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))) x)))))) |
(* x (- (+ (* 1/16 (/ (* (pow y 2) (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3))))) (pow x 3))) (+ (* 4 (/ (* (pow y 2) (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3)))) (pow x 2))) (+ (* 4 (/ (* (pow y 2) (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3))))) x)) (* 4 (/ 1 y))))) (+ (* 1/16 (/ (* (pow y 2) (* (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)) (- (* 4 (* (pow y 2) (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))))) (* 1/4 (* y (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))))))) (pow x 3))) (+ (* 1/16 (/ (* (pow y 2) (* (- (* 4 (* (pow y 2) (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))))) (+ (* 1/16 (* (pow y 2) (* (- (* 4 (* (pow y 2) (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))))) (* 1/4 (* y (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))))) (* 1/4 (* y (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)))))) (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y))))) (pow x 3))) (+ (* 1/16 (/ (* (pow y 2) (* (- (* 4 (* (pow y 2) (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))))) (* 1/4 (* y (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y))))) (pow x 2))) (+ (* 1/4 (/ (* y (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y))) (pow x 2))) (* 1/4 (/ (* y (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))) x)))))))) |
(* -64 (/ (pow x 3) (pow y 3))) |
(* (pow x 3) (- (* -64 (/ (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) x)) (* 64 (/ 1 (pow y 3))))) |
(* (pow x 3) (- (* -64 (/ (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (pow x 2))) (+ (* 64 (/ 1 (pow y 3))) (* 64 (/ (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) x))))) |
(* (pow x 3) (- (* -1 (/ (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3)))) (pow x 3))) (+ (* 64 (/ 1 (pow y 3))) (+ (* 64 (/ (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (pow x 2))) (* 64 (/ (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) x)))))) |
(* -16 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 4 (* x y)) (+ (* 16 (/ 1 (pow y 2))) (+ (* 16 (/ (- 3/4 (/ z y)) (* x y))) (* 16 (/ (- (* 3/4 y) z) (* x (pow y 2)))))))) |
(* (pow x 2) (- (+ (* -1 (/ (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)) (pow x 2))) (/ 4 (* x y))) (+ (* 16 (/ 1 (pow y 2))) (+ (* 16 (/ (- 3/4 (/ z y)) (* x y))) (* 16 (/ (- (* 3/4 y) z) (* x (pow y 2)))))))) |
(* 16 (/ x y)) |
(* x (- (+ (* 16 (/ (- 3/4 (/ z y)) x)) (* 16 (/ 1 y))) (* 4 (/ 1 x)))) |
(* 16 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (+ (* 16 (/ (- 3/4 (/ z y)) (* x y))) (+ (* 16 (/ (- (* 3/4 y) z) (* x (pow y 2)))) (* 16 (/ 1 (pow y 2))))) (/ 4 (* x y)))) |
(* (pow x 2) (- (+ (* 16 (/ (- 3/4 (/ z y)) (* x y))) (+ (* 16 (/ (- (* 3/4 y) z) (* x (pow y 2)))) (+ (/ 1 (pow x 2)) (+ (* 16 (/ 1 (pow y 2))) (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) (* (pow x 2) y)))))) (/ 4 (* x y)))) |
(/ (pow x 3) (pow y 3)) |
(* (pow x 3) (- (+ (/ 1 (pow y 3)) (/ 9/4 (* x (pow y 2)))) (+ (* 2 (/ z (* x (pow y 3)))) (/ z (* x (pow y 3)))))) |
(* (pow x 3) (- (+ (/ 1 (pow y 3)) (+ (/ 9/4 (* x (pow y 2))) (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (* (pow x 2) (pow y 3))) (/ (pow (- (* 3/4 y) z) 2) (* (pow x 2) (pow y 3)))))) (+ (* 2 (/ z (* x (pow y 3)))) (/ z (* x (pow y 3)))))) |
(* (pow x 3) (- (+ (/ 1 (pow y 3)) (+ (/ 9/4 (* x (pow y 2))) (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (* (pow x 2) (pow y 3))) (+ (/ (pow (- (* 3/4 y) z) 2) (* (pow x 2) (pow y 3))) (/ (pow (- (* 3/4 y) z) 3) (* (pow x 3) (pow y 3))))))) (+ (* 2 (/ z (* x (pow y 3)))) (/ z (* x (pow y 3)))))) |
(* -1/16 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/16 (pow y 2)) (* 1/256 (/ (* (pow y 4) (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))) x))) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -1/256 (* (pow y 4) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)))) (* 1/4096 (* (pow y 6) (pow (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y))) 2)))) (pow x 2))) (* -1/16 (pow y 2))) (* -1/256 (/ (* (pow y 4) (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))) x))) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -1/16 (* (pow y 2) (* (+ (* -1/256 (* (pow y 4) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)))) (* 1/4096 (* (pow y 6) (pow (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y))) 2)))) (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))))) (* 1/4096 (* (pow y 6) (* (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)) (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y))))))) (pow x 3))) (* -1/16 (pow y 2))) (+ (* -1/256 (/ (* (pow y 4) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y))) (pow x 2))) (+ (* -1/256 (/ (* (pow y 4) (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))) x)) (* 1/4096 (/ (* (pow y 6) (pow (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y))) 2)) (pow x 2)))))) (pow x 2)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 4 (* (pow y 2) (- (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3)))) (/ z (pow y 3))))) (* -1/4 (* y (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y)))))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 4 (* (pow y 2) (+ (* -2 (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 3/4 y) z) 2) (pow y 3)))))) (+ (* -1/4 (* y (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)))) (* 1/16 (* (pow y 2) (* (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))) (- (* 4 (* (pow y 2) (- (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3)))) (/ z (pow y 3))))) (* -1/4 (* y (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))))))))))) x)) (* 4 (* (pow y 2) (- (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3)))) (/ z (pow y 3)))))) (* -1/4 (* y (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y)))))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/16 (* (pow y 2) (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3)))))) (+ (* 1/16 (* (pow y 2) (* (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)) (- (* 4 (* (pow y 2) (- (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3)))) (/ z (pow y 3))))) (* -1/4 (* y (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))))))))) (* 1/16 (* (pow y 2) (* (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))) (- (* 4 (* (pow y 2) (+ (* -2 (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 3/4 y) z) 2) (pow y 3)))))) (+ (* -1/4 (* y (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)))) (* 1/16 (* (pow y 2) (* (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))) (- (* 4 (* (pow y 2) (- (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3)))) (/ z (pow y 3))))) (* -1/4 (* y (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y)))))))))))))))) x)) (* 4 (* (pow y 2) (+ (* -2 (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 3/4 y) z) 2) (pow y 3))))))) (+ (* -1/4 (* y (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)))) (* 1/16 (* (pow y 2) (* (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))) (- (* 4 (* (pow y 2) (- (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3)))) (/ z (pow y 3))))) (* -1/4 (* y (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))))))))))) x)) (* 4 (* (pow y 2) (- (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3)))) (/ z (pow y 3)))))) (* -1/4 (* y (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y)))))) x)) (* 4 (/ 1 y))))) |
(* -1 (* (pow x 3) (+ (* 64 (/ (- (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3)))) (/ z (pow y 3))) x)) (* 64 (/ 1 (pow y 3)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 64 (/ (+ (* -2 (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 3/4 y) z) 2) (pow y 3)))) x)) (* 64 (- (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3)))) (/ z (pow y 3))))) x)) (* 64 (/ 1 (pow y 3)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1 (/ (- (+ (* 64 (/ (pow (- (* 3/4 y) z) 3) (* x (pow y 3)))) (/ 1 x)) (* 64 (+ (* -2 (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 3/4 y) z) 2) (pow y 3)))))) x)) (* 64 (- (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3)))) (/ z (pow y 3))))) x)) (* 64 (/ 1 (pow y 3)))))) |
(* (pow x 2) (- (+ (* -16 (/ (- (* 3/4 y) z) (* x (pow y 2)))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) (* x y)))) (* 16 (/ 1 (pow y 2))))) |
(* (pow x 2) (- (* -1 (/ (- (+ (/ 1 x) (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) (* x y))) (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y)))) x)) (* 16 (/ 1 (pow y 2))))) |
(* -1 (* x (- (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) x)) (* 16 (/ 1 y))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))) x)) (* 16 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (+ (* -1 (/ (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)) x)) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y)))) x)) (* 16 (/ 1 (pow y 2))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3)))) (/ z (pow y 3))) x)) (/ 1 (pow y 3))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 3/4 y) z) 2) (pow y 3)))) x)) (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3))))) (/ z (pow y 3))) x)) (/ 1 (pow y 3))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (+ (* -1 (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 3/4 y) z) 3) (* x (pow y 3)))))) x)) (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3))))) (/ z (pow y 3))) x)) (/ 1 (pow y 3))))) |
(/ (+ (* -1/16 (pow y 2)) (* -1/256 (/ (* (pow y 4) (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y)))) x))) (pow x 2)) |
(/ (+ (* -1 (/ (- (+ (* -1/256 (/ (* (pow y 4) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y))) x)) (* 1/4096 (/ (* (pow y 6) (pow (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))) 2)) x))) (* -1/256 (* (pow y 4) (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y)))))) x)) (* -1/16 (pow y 2))) (pow x 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow y 2) (* (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))) (+ (* -1/256 (* (pow y 4) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)))) (* 1/4096 (* (pow y 6) (pow (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))) 2)))))) x)) (* 1/4096 (/ (* (pow y 6) (* (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)) (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))))) x))) (+ (* -1/256 (* (pow y 4) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)))) (* 1/4096 (* (pow y 6) (pow (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))) 2))))) x)) (* -1/256 (* (pow y 4) (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y)))))) x)) (* -1/16 (pow y 2))) (pow x 2)) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(/ (+ (* 4 x) (* 4 y)) y) |
(/ 4 y) |
(/ (+ (* -4 z) (* 4 y)) y) |
(/ -4 y) |
(/ (- x z) y) |
(/ (+ (* 4 (- x z)) (* y (- (* 4 (/ (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))) (pow (- x z) 2))) (* 1/4 (/ (+ (* 8 (- x z)) (* 12 (- x z))) (- x z)))))) y) |
(/ (+ (* 4 (- x z)) (* y (- (+ (* 4 (/ (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))) (pow (- x z) 2))) (* y (- (* 4 (/ (+ (* 9/16 (- x z)) (* 9/8 (- x z))) (pow (- x z) 2))) (+ (* 1/16 (/ (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* 4 (/ (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))) (pow (- x z) 2))) (* 1/4 (/ (+ (* 8 (- x z)) (* 12 (- x z))) (- x z))))) (pow (- x z) 2))) (* 7/4 (/ 1 (- x z))))))) (* 1/4 (/ (+ (* 8 (- x z)) (* 12 (- x z))) (- x z)))))) y) |
(/ (+ (* 4 (- x z)) (* y (- (+ (* 4 (/ (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))) (pow (- x z) 2))) (* y (- (+ (* 4 (/ (+ (* 9/16 (- x z)) (* 9/8 (- x z))) (pow (- x z) 2))) (* y (- (* 7/4 (/ 1 (pow (- x z) 2))) (+ (* 1/16 (/ (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* 4 (/ (+ (* 9/16 (- x z)) (* 9/8 (- x z))) (pow (- x z) 2))) (+ (* 1/16 (/ (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* 4 (/ (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))) (pow (- x z) 2))) (* 1/4 (/ (+ (* 8 (- x z)) (* 12 (- x z))) (- x z))))) (pow (- x z) 2))) (* 7/4 (/ 1 (- x z)))))) (pow (- x z) 2))) (* 7/16 (/ (- (* 4 (/ (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))) (pow (- x z) 2))) (* 1/4 (/ (+ (* 8 (- x z)) (* 12 (- x z))) (- x z)))) (pow (- x z) 2))))))) (+ (* 1/16 (/ (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* 4 (/ (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))) (pow (- x z) 2))) (* 1/4 (/ (+ (* 8 (- x z)) (* 12 (- x z))) (- x z))))) (pow (- x z) 2))) (* 7/4 (/ 1 (- x z))))))) (* 1/4 (/ (+ (* 8 (- x z)) (* 12 (- x z))) (- x z)))))) y) |
(* -64 (/ (pow (- x z) 3) (pow y 3))) |
(/ (- (* -64 (* y (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))))) (* 64 (pow (- x z) 3))) (pow y 3)) |
(/ (- (* y (- (* -64 (* y (+ (* 9/16 (- x z)) (* 9/8 (- x z))))) (* 64 (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2)))))) (* 64 (pow (- x z) 3))) (pow y 3)) |
(/ (- (* y (- (* y (- (* -28 y) (* 64 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))))) (* 64 (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2)))))) (* 64 (pow (- x z) 3))) (pow y 3)) |
(* -16 (/ (pow (- x z) 2) (pow y 2))) |
(/ (- (* -1 (* y (+ (* 8 (- x z)) (* 12 (- x z))))) (* 16 (pow (- x z) 2))) (pow y 2)) |
(/ (- (* y (- (* -7 y) (+ (* 8 (- x z)) (* 12 (- x z))))) (* 16 (pow (- x z) 2))) (pow y 2)) |
(* 16 (/ (- x z) y)) |
(/ (+ (* 8 y) (* 16 (- x z))) y) |
(* 16 (/ (pow (- x z) 2) (pow y 2))) |
(/ (+ (* 16 (pow (- x z) 2)) (* y (+ (* 8 (- x z)) (* 12 (- x z))))) (pow y 2)) |
(/ (+ (* 16 (pow (- x z) 2)) (* y (+ (* 7 y) (+ (* 8 (- x z)) (* 12 (- x z)))))) (pow y 2)) |
(/ (pow (- x z) 3) (pow y 3)) |
(/ (+ (* y (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2)))) (pow (- x z) 3)) (pow y 3)) |
(/ (+ (* y (+ (* 3/4 (pow (- x z) 2)) (+ (* 3/2 (pow (- x z) 2)) (* y (+ (* 9/16 (- x z)) (* 9/8 (- x z))))))) (pow (- x z) 3)) (pow y 3)) |
(/ (+ (* y (+ (* 3/4 (pow (- x z) 2)) (+ (* 3/2 (pow (- x z) 2)) (* y (+ (* 27/64 y) (+ (* 9/16 (- x z)) (* 9/8 (- x z)))))))) (pow (- x z) 3)) (pow y 3)) |
(* -1/16 (/ (pow y 2) (pow (- x z) 2))) |
(* (pow y 2) (- (* 1/256 (/ (* y (+ (* 8 (- x z)) (* 12 (- x z)))) (pow (- x z) 4))) (* 1/16 (/ 1 (pow (- x z) 2))))) |
(* (pow y 2) (- (* y (- (* y (- (* 7/256 (/ 1 (pow (- x z) 4))) (* 1/4096 (/ (pow (+ (* 8 (- x z)) (* 12 (- x z))) 2) (pow (- x z) 6))))) (* -1/256 (/ (+ (* 8 (- x z)) (* 12 (- x z))) (pow (- x z) 4))))) (* 1/16 (/ 1 (pow (- x z) 2))))) |
(* (pow y 2) (- (* y (- (* y (- (+ (* -1 (* y (+ (* 7/4096 (/ (+ (* 8 (- x z)) (* 12 (- x z))) (pow (- x z) 6))) (* 1/16 (/ (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* 7/256 (/ 1 (pow (- x z) 4))) (* 1/4096 (/ (pow (+ (* 8 (- x z)) (* 12 (- x z))) 2) (pow (- x z) 6))))) (pow (- x z) 2)))))) (* 7/256 (/ 1 (pow (- x z) 4)))) (* 1/4096 (/ (pow (+ (* 8 (- x z)) (* 12 (- x z))) 2) (pow (- x z) 6))))) (* -1/256 (/ (+ (* 8 (- x z)) (* 12 (- x z))) (pow (- x z) 4))))) (* 1/16 (/ 1 (pow (- x z) 2))))) |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 4 (* -4 (/ z y))) |
(- (+ 4 (* 64/7 (/ (+ (* 9/16 (- x z)) (* 9/8 (- x z))) y))) (* 4/7 (/ (+ (* 8 (- x z)) (* 12 (- x z))) y))) |
(- (+ 4 (+ (* 64/7 (/ (+ (* 9/16 (- x z)) (* 9/8 (- x z))) y)) (* 64/7 (/ (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))) (pow y 2))))) (+ (* 1/7 (/ (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* 64/7 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* 4/7 (+ (* 8 (- x z)) (* 12 (- x z)))))) (pow y 2))) (+ (* 4/7 (/ (+ (* 8 (- x z)) (* 12 (- x z))) y)) (* 64/7 (/ (pow (- x z) 2) (pow y 2)))))) |
(- (+ 4 (+ (* 64/7 (/ (+ (* 9/16 (- x z)) (* 9/8 (- x z))) y)) (+ (* 64/7 (/ (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))) (pow y 2))) (* 64/7 (/ (pow (- x z) 3) (pow y 3)))))) (+ (* 1/7 (/ (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* 64/7 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* 4/7 (+ (* 8 (- x z)) (* 12 (- x z)))))) (pow y 2))) (+ (* 1/7 (/ (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* 64/7 (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2)))) (+ (* 1/7 (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* 64/7 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* 4/7 (+ (* 8 (- x z)) (* 12 (- x z))))))) (* 64/7 (pow (- x z) 2))))) (pow y 3))) (+ (* 4/7 (/ (+ (* 8 (- x z)) (* 12 (- x z))) y)) (+ (* 16/7 (/ (* (pow (- x z) 2) (- (* 64/7 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* 4/7 (+ (* 8 (- x z)) (* 12 (- x z)))))) (pow y 3))) (* 64/7 (/ (pow (- x z) 2) (pow y 2)))))))) |
-28 |
(- (* -64 (/ (+ (* 9/16 (- x z)) (* 9/8 (- x z))) y)) 28) |
(- (* -64 (/ (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))) (pow y 2))) (+ 28 (* 64 (/ (+ (* 9/16 (- x z)) (* 9/8 (- x z))) y)))) |
(- (* -64 (/ (pow (- x z) 3) (pow y 3))) (+ 28 (+ (* 64 (/ (+ (* 9/16 (- x z)) (* 9/8 (- x z))) y)) (* 64 (/ (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))) (pow y 2)))))) |
-7 |
(- (* -1 (/ (+ (* 8 (- x z)) (* 12 (- x z))) y)) 7) |
(- (* -16 (/ (pow (- x z) 2) (pow y 2))) (+ 7 (+ (* 8 (/ (- x z) y)) (* 12 (/ (- x z) y))))) |
8 |
(+ 8 (* 16 (/ (- x z) y))) |
7 |
(+ 7 (+ (* 8 (/ (- x z) y)) (* 12 (/ (- x z) y)))) |
(+ 7 (+ (* 8 (/ (- x z) y)) (+ (* 12 (/ (- x z) y)) (* 16 (/ (pow (- x z) 2) (pow y 2)))))) |
27/64 |
(+ 27/64 (+ (* 9/16 (/ (- x z) y)) (* 9/8 (/ (- x z) y)))) |
(+ 27/64 (+ (* 9/16 (/ (- x z) y)) (+ (* 3/4 (/ (pow (- x z) 2) (pow y 2))) (+ (* 9/8 (/ (- x z) y)) (* 3/2 (/ (pow (- x z) 2) (pow y 2))))))) |
(+ 27/64 (+ (* 9/16 (/ (- x z) y)) (+ (* 3/4 (/ (pow (- x z) 2) (pow y 2))) (+ (* 9/8 (/ (- x z) y)) (+ (* 3/2 (/ (pow (- x z) 2) (pow y 2))) (/ (pow (- x z) 3) (pow y 3))))))) |
-1/7 |
(- (* 1/49 (/ (+ (* 8 (- x z)) (* 12 (- x z))) y)) 1/7) |
(- (* -1 (/ (+ (* -16/49 (pow (- x z) 2)) (* 1/343 (pow (+ (* 8 (- x z)) (* 12 (- x z))) 2))) (pow y 2))) (+ 1/7 (* -1/49 (/ (+ (* 8 (- x z)) (* 12 (- x z))) y)))) |
(- (* -1 (/ (+ (* -1/7 (* (+ (* -16/49 (pow (- x z) 2)) (* 1/343 (pow (+ (* 8 (- x z)) (* 12 (- x z))) 2))) (+ (* 8 (- x z)) (* 12 (- x z))))) (* 16/343 (* (+ (* 8 (- x z)) (* 12 (- x z))) (pow (- x z) 2)))) (pow y 3))) (+ 1/7 (+ (* -16/49 (/ (pow (- x z) 2) (pow y 2))) (+ (* -1/49 (/ (+ (* 8 (- x z)) (* 12 (- x z))) y)) (* 1/343 (/ (pow (+ (* 8 (- x z)) (* 12 (- x z))) 2) (pow y 2))))))) |
(+ 4 (* -1 (/ (- (* -64/7 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* -4/7 (+ (* 8 (- x z)) (* 12 (- x z))))) y))) |
(+ 4 (* -1 (/ (- (+ (* -64/7 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* -1 (/ (- (* -64/7 (+ (* -3/2 (pow (- x z) 2)) (* -3/4 (pow (- x z) 2)))) (+ (* -1/7 (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* -64/7 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* -4/7 (+ (* 8 (- x z)) (* 12 (- x z))))))) (* 64/7 (pow (- x z) 2)))) y))) (* -4/7 (+ (* 8 (- x z)) (* 12 (- x z))))) y))) |
(+ 4 (* -1 (/ (- (+ (* -64/7 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* -1 (/ (- (+ (* -64/7 (+ (* -3/2 (pow (- x z) 2)) (* -3/4 (pow (- x z) 2)))) (* -1 (/ (- (* -64/7 (pow (- x z) 3)) (+ (* -1/7 (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* -64/7 (+ (* -3/2 (pow (- x z) 2)) (* -3/4 (pow (- x z) 2)))) (+ (* -1/7 (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* -64/7 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* -4/7 (+ (* 8 (- x z)) (* 12 (- x z))))))) (* 64/7 (pow (- x z) 2)))))) (* 16/7 (* (pow (- x z) 2) (- (* -64/7 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* -4/7 (+ (* 8 (- x z)) (* 12 (- x z))))))))) y))) (+ (* -1/7 (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* -64/7 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* -4/7 (+ (* 8 (- x z)) (* 12 (- x z))))))) (* 64/7 (pow (- x z) 2)))) y))) (* -4/7 (+ (* 8 (- x z)) (* 12 (- x z))))) y))) |
(- (* -1 (/ (- (* -64 (/ (+ (* -3/2 (pow (- x z) 2)) (* -3/4 (pow (- x z) 2))) y)) (* -64 (+ (* 9/16 (- x z)) (* 9/8 (- x z))))) y)) 28) |
(- (* -1 (/ (- (* -1 (/ (- (* -64 (/ (pow (- x z) 3) y)) (* -64 (+ (* -3/2 (pow (- x z) 2)) (* -3/4 (pow (- x z) 2))))) y)) (* -64 (+ (* 9/16 (- x z)) (* 9/8 (- x z))))) y)) 28) |
(- (* -1 (/ (- (* 16 (/ (pow (- x z) 2) y)) (* -1 (+ (* 8 (- x z)) (* 12 (- x z))))) y)) 7) |
(+ 7 (* -1 (/ (+ (* -16 (/ (pow (- x z) 2) y)) (* -1 (+ (* 8 (- x z)) (* 12 (- x z))))) y))) |
(+ 27/64 (* -1 (/ (+ (* -3/2 (/ (pow (- x z) 2) y)) (+ (* -1 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* -3/4 (/ (pow (- x z) 2) y)))) y))) |
(+ 27/64 (* -1 (/ (+ (* -1 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* -1 (/ (+ (* -1 (+ (* -3/2 (pow (- x z) 2)) (* -3/4 (pow (- x z) 2)))) (/ (pow (- x z) 3) y)) y))) y))) |
(- (* -1 (/ (- (+ (* -16/49 (/ (pow (- x z) 2) y)) (* 1/343 (/ (pow (+ (* 8 (- x z)) (* 12 (- x z))) 2) y))) (* 1/49 (+ (* 8 (- x z)) (* 12 (- x z))))) y)) 1/7) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -16/343 (/ (* (+ (* 8 (- x z)) (* 12 (- x z))) (pow (- x z) 2)) y)) (* 1/7 (/ (* (+ (* -16/49 (pow (- x z) 2)) (* 1/343 (pow (+ (* 8 (- x z)) (* 12 (- x z))) 2))) (+ (* 8 (- x z)) (* 12 (- x z)))) y))) (+ (* -16/49 (pow (- x z) 2)) (* 1/343 (pow (+ (* 8 (- x z)) (* 12 (- x z))) 2)))) y)) (* 1/49 (+ (* 8 (- x z)) (* 12 (- x z))))) y)) 1/7) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(+ x (* -1 z)) |
(/ (+ 1 (* 64 (/ (pow (+ x (* 3/4 y)) 3) (pow y 3)))) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y))) |
(+ (* 64 (/ (pow (+ x (* 3/4 y)) 3) (* (pow y 3) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y))))) (+ (* z (- (* 64 (/ (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3)))) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (+ x (* 3/4 y)) 3) (pow y 3)))) (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y)))) (pow (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y))))) |
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(* 64 (/ (pow z 3) (pow y 3))) |
(* (pow z 3) (+ (* -64 (/ (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 3/4 y)) (pow y 3))) (/ x (pow y 3)))) z)) (* 64 (/ 1 (pow y 3))))) |
(* (pow z 3) (- (+ (* -64 (/ (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3)))) (pow z 2))) (* 64 (/ 1 (pow y 3)))) (* 64 (/ (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 3/4 y)) (pow y 3))) (/ x (pow y 3)))) z)))) |
(* (pow z 3) (- (+ (* -1 (/ (+ 1 (* 64 (/ (pow (+ x (* 3/4 y)) 3) (pow y 3)))) (pow z 3))) (* 64 (/ 1 (pow y 3)))) (+ (* 64 (/ (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3)))) (pow z 2))) (* 64 (/ (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 3/4 y)) (pow y 3))) (/ x (pow y 3)))) z))))) |
(* -16 (/ (pow z 2) (pow y 2))) |
(* (pow z 2) (- (* -1 (/ (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y))) z)) (* 16 (/ 1 (pow y 2))))) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)) (pow z 2))) (+ (* -16 (/ (+ x (* 3/4 y)) (* (pow y 2) z))) (+ (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) (* y z))) (* 16 (/ 1 (pow y 2))))))) |
(* -16 (/ z y)) |
(* z (- (* 16 (/ (+ 3/4 (/ x y)) z)) (+ (* 16 (/ 1 y)) (* 4 (/ 1 z))))) |
(* 16 (/ (pow z 2) (pow y 2))) |
(* (pow z 2) (+ (* -16 (/ (+ x (* 3/4 y)) (* (pow y 2) z))) (+ (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) (* y z))) (* 16 (/ 1 (pow y 2)))))) |
(* (pow z 2) (+ (* -16 (/ (+ x (* 3/4 y)) (* (pow y 2) z))) (+ (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) (* y z))) (+ (* 16 (/ 1 (pow y 2))) (+ (/ 1 (pow z 2)) (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) (* y (pow z 2)))))))) |
(* -1 (/ (pow z 3) (pow y 3))) |
(* (pow z 3) (- (+ (* 2 (/ (+ x (* 3/4 y)) (* (pow y 3) z))) (+ (/ 3/4 (* (pow y 2) z)) (/ x (* (pow y 3) z)))) (/ 1 (pow y 3)))) |
(* (pow z 3) (- (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (* (pow y 3) (pow z 2)))) (+ (* -1 (/ (pow (+ x (* 3/4 y)) 2) (* (pow y 3) (pow z 2)))) (+ (* 2 (/ (+ x (* 3/4 y)) (* (pow y 3) z))) (+ (/ 3/4 (* (pow y 2) z)) (/ x (* (pow y 3) z)))))) (/ 1 (pow y 3)))) |
(* (pow z 3) (- (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (* (pow y 3) (pow z 2)))) (+ (* -1 (/ (pow (+ x (* 3/4 y)) 2) (* (pow y 3) (pow z 2)))) (+ (* 2 (/ (+ x (* 3/4 y)) (* (pow y 3) z))) (+ (/ 3/4 (* (pow y 2) z)) (+ (/ x (* (pow y 3) z)) (/ (pow (+ x (* 3/4 y)) 3) (* (pow y 3) (pow z 3)))))))) (/ 1 (pow y 3)))) |
(* -1/16 (/ (pow y 2) (pow z 2))) |
(/ (+ (* -1/16 (pow y 2)) (* 1/256 (/ (* (pow y 4) (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y)))) z))) (pow z 2)) |
(/ (- (+ (* -1 (/ (+ (* -1/256 (* (pow y 4) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)))) (* 1/4096 (* (pow y 6) (pow (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y))) 2)))) (pow z 2))) (* -1/16 (pow y 2))) (* -1/256 (/ (* (pow y 4) (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y)))) z))) (pow z 2)) |
(/ (- (+ (* -1 (/ (+ (* -1/16 (* (pow y 2) (* (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y))) (+ (* -1/256 (* (pow y 4) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)))) (* 1/4096 (* (pow y 6) (pow (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y))) 2))))))) (* 1/4096 (* (pow y 6) (* (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)) (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y))))))) (pow z 3))) (* -1/16 (pow y 2))) (+ (* -1/256 (/ (* (pow y 4) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y))) (pow z 2))) (+ (* -1/256 (/ (* (pow y 4) (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y)))) z)) (* 1/4096 (/ (* (pow y 6) (pow (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y))) 2)) (pow z 2)))))) (pow z 2)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z))))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (/ (- (* 4 (* (pow y 2) (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 3/2 (/ 1 (pow y 2))) (/ x (pow y 3))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (* 4 (* (pow y 2) (+ (/ (* (+ x (* 3/4 y)) (+ (* 3/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))))) (+ (* 1/16 (* (pow y 2) (* (- (* 4 (* (pow y 2) (+ (* 3/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 3/4 (/ 1 (pow y 2))) (/ x (pow y 3))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (* 1/4 (* y (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)))))) z)) (* 4 (* (pow y 2) (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 3/2 (/ 1 (pow y 2))) (/ x (pow y 3)))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/16 (* (pow y 2) (+ 1 (* 64 (/ (pow (+ x (* 3/4 y)) 3) (pow y 3)))))) (+ (* 1/16 (* (pow y 2) (* (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)) (- (* 4 (* (pow y 2) (+ (* 3/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 3/4 (/ 1 (pow y 2))) (/ x (pow y 3))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y))))))))) (* 1/16 (* (pow y 2) (* (- (* 4 (* (pow y 2) (+ (/ (* (+ x (* 3/4 y)) (+ (* 3/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))))) (+ (* 1/16 (* (pow y 2) (* (- (* 4 (* (pow y 2) (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 3/2 (/ 1 (pow y 2))) (/ x (pow y 3))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (* 1/4 (* y (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)))))) (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))))) z)) (* 4 (* (pow y 2) (+ (/ (* (+ x (* 3/4 y)) (+ (* 3/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 3/4 y)) 2) (pow y 3)))))) (+ (* 1/16 (* (pow y 2) (* (- (* 4 (* (pow y 2) (+ (* 3/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 3/4 (/ 1 (pow y 2))) (/ x (pow y 3))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (* 1/4 (* y (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)))))) z)) (* 4 (* (pow y 2) (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 3/2 (/ 1 (pow y 2))) (/ x (pow y 3)))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) z)) (* 4 (/ 1 y))))) |
(* -1 (* (pow z 3) (- (* 64 (/ (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 3/2 (/ 1 (pow y 2))) (/ x (pow y 3))))) z)) (* 64 (/ 1 (pow y 3)))))) |
(* -1 (* (pow z 3) (- (* -1 (/ (- (* 64 (/ (+ (/ (* (+ x (* 3/4 y)) (+ (* 3/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) z)) (* 64 (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 3/2 (/ 1 (pow y 2))) (/ x (pow y 3))))))) z)) (* 64 (/ 1 (pow y 3)))))) |
(* -1 (* (pow z 3) (- (* -1 (/ (- (* -1 (/ (- (+ (* 64 (/ (pow (+ x (* 3/4 y)) 3) (* (pow y 3) z))) (/ 1 z)) (* 64 (+ (/ (* (+ x (* 3/4 y)) (+ (* 3/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))))) z)) (* 64 (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 3/2 (/ 1 (pow y 2))) (/ x (pow y 3))))))) z)) (* 64 (/ 1 (pow y 3)))))) |
(* (pow z 2) (- (* -1 (/ (- (* 4 (/ 1 y)) (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2))))) z)) (* 16 (/ 1 (pow y 2))))) |
(* (pow z 2) (- (* -1 (/ (- (+ (* 4 (/ 1 y)) (+ (/ 1 z) (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) (* y z)))) (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2))))) z)) (* 16 (/ 1 (pow y 2))))) |
(* -1 (* z (+ (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) z)) (* 16 (/ 1 y))))) |
(* (pow z 2) (+ (* -1 (/ (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y))) z)) (* 16 (/ 1 (pow y 2))))) |
(* (pow z 2) (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)) z)) (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2))))) (* 4 (/ 1 y))) z)) (* 16 (/ 1 (pow y 2))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 3/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 3/4 (/ 1 (pow y 2))) (/ x (pow y 3))))) z)) (/ 1 (pow y 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (/ (* (+ x (* 3/4 y)) (+ (* 3/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) z)) (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 3/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (/ x (pow y 3)))))) z)) (/ 1 (pow y 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ x (* 3/4 y)) 3) (* (pow y 3) z))) (+ (/ (* (+ x (* 3/4 y)) (+ (* 3/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 3/4 y)) 2) (pow y 3)))) z)) (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 3/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (/ x (pow y 3)))))) z)) (/ 1 (pow y 3))))) |
(/ (+ (* -1/16 (pow y 2)) (* -1/256 (/ (* (pow y 4) (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))) z))) (pow z 2)) |
(/ (+ (* -1 (/ (- (+ (* -1/256 (/ (* (pow y 4) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y))) z)) (* 1/4096 (/ (* (pow y 6) (pow (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y))) 2)) z))) (* -1/256 (* (pow y 4) (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) z)) (* -1/16 (pow y 2))) (pow z 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow y 2) (* (+ (* -1/256 (* (pow y 4) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)))) (* 1/4096 (* (pow y 6) (pow (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y))) 2)))) (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y))))) z)) (* 1/4096 (/ (* (pow y 6) (* (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)) (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y))))) z))) (+ (* -1/256 (* (pow y 4) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)))) (* 1/4096 (* (pow y 6) (pow (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y))) 2))))) z)) (* -1/256 (* (pow y 4) (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) z)) (* -1/16 (pow y 2))) (pow z 2)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | y | @ | -inf | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ 4 y) x) 4) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* -4 (/ z y)) 4) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (* (neg (+ (* (pow (/ (- (+ (* 3/4 y) x) z) y) 3) 64) 1)) (/ 1 (neg (+ (* (/ (- (+ (* 3/4 y) x) z) y) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4)) 1)))) (neg (+ (* (pow (/ (- (+ (* 3/4 y) x) z) y) 3) 64) 1)) (neg (+ (* (/ (- (+ (* 3/4 y) x) z) y) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4)) 1)) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4) (+ (* (/ (- (+ (* 3/4 y) x) z) y) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4)) 1) (pow (/ (- (+ (* 3/4 y) x) z) y) 3) (/ 1 (neg (+ (* (/ (- (+ (* 3/4 y) x) z) y) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4)) 1)))) |
| 10.0ms | x | @ | -inf | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ 4 y) x) 4) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* -4 (/ z y)) 4) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (* (neg (+ (* (pow (/ (- (+ (* 3/4 y) x) z) y) 3) 64) 1)) (/ 1 (neg (+ (* (/ (- (+ (* 3/4 y) x) z) y) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4)) 1)))) (neg (+ (* (pow (/ (- (+ (* 3/4 y) x) z) y) 3) 64) 1)) (neg (+ (* (/ (- (+ (* 3/4 y) x) z) y) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4)) 1)) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4) (+ (* (/ (- (+ (* 3/4 y) x) z) y) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4)) 1) (pow (/ (- (+ (* 3/4 y) x) z) y) 3) (/ 1 (neg (+ (* (/ (- (+ (* 3/4 y) x) z) y) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4)) 1)))) |
| 10.0ms | z | @ | 0 | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ 4 y) x) 4) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* -4 (/ z y)) 4) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (* (neg (+ (* (pow (/ (- (+ (* 3/4 y) x) z) y) 3) 64) 1)) (/ 1 (neg (+ (* (/ (- (+ (* 3/4 y) x) z) y) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4)) 1)))) (neg (+ (* (pow (/ (- (+ (* 3/4 y) x) z) y) 3) 64) 1)) (neg (+ (* (/ (- (+ (* 3/4 y) x) z) y) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4)) 1)) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4) (+ (* (/ (- (+ (* 3/4 y) x) z) y) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4)) 1) (pow (/ (- (+ (* 3/4 y) x) z) y) 3) (/ 1 (neg (+ (* (/ (- (+ (* 3/4 y) x) z) y) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4)) 1)))) |
| 9.0ms | z | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ 4 y) x) 4) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* -4 (/ z y)) 4) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (* (neg (+ (* (pow (/ (- (+ (* 3/4 y) x) z) y) 3) 64) 1)) (/ 1 (neg (+ (* (/ (- (+ (* 3/4 y) x) z) y) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4)) 1)))) (neg (+ (* (pow (/ (- (+ (* 3/4 y) x) z) y) 3) 64) 1)) (neg (+ (* (/ (- (+ (* 3/4 y) x) z) y) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4)) 1)) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4) (+ (* (/ (- (+ (* 3/4 y) x) z) y) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4)) 1) (pow (/ (- (+ (* 3/4 y) x) z) y) 3) (/ 1 (neg (+ (* (/ (- (+ (* 3/4 y) x) z) y) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4)) 1)))) |
| 8.0ms | x | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ 4 y) x) 4) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* -4 (/ z y)) 4) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (* (neg (+ (* (pow (/ (- (+ (* 3/4 y) x) z) y) 3) 64) 1)) (/ 1 (neg (+ (* (/ (- (+ (* 3/4 y) x) z) y) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4)) 1)))) (neg (+ (* (pow (/ (- (+ (* 3/4 y) x) z) y) 3) 64) 1)) (neg (+ (* (/ (- (+ (* 3/4 y) x) z) y) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4)) 1)) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4) (+ (* (/ (- (+ (* 3/4 y) x) z) y) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4)) 1) (pow (/ (- (+ (* 3/4 y) x) z) y) 3) (/ 1 (neg (+ (* (/ (- (+ (* 3/4 y) x) z) y) (- (* (/ (- (+ (* 3/4 y) x) z) y) 16) 4)) 1)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1578 | 14843 |
| 1 | 5185 | 14698 |
| 0 | 8068 | 13623 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
4 |
(+ 4 (* 4 (/ x y))) |
(* 4 (/ x y)) |
(/ x y) |
(* -4 (/ z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* -1 z) |
(- x z) |
(/ (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3)))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))) |
(+ (* 64 (/ (pow (- (* 3/4 y) z) 3) (* (pow y 3) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))))) (+ (* x (- (* 64 (/ (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))))) |
(+ (* 64 (/ (pow (- (* 3/4 y) z) 3) (* (pow y 3) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))))) (+ (* x (- (+ (* 64 (/ (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))) (* x (- (* 64 (/ (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))) (+ (* 16 (/ (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3)))) (* (pow y 2) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2)))) (/ (* (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2)))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))))))) (/ (* (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))))) |
(+ (* 64 (/ (pow (- (* 3/4 y) z) 3) (* (pow y 3) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))))) (+ (* x (- (+ (* 64 (/ (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))) (* x (- (+ (* 64 (/ (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))) (* x (- (* 64 (/ 1 (* (pow y 3) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))))) (+ (* 16 (/ (- (* 64 (/ (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2))) (* (pow y 2) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))))) (/ (* (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))) (+ (* 16 (/ (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3)))) (* (pow y 2) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2)))) (/ (* (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2)))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))))))) (+ (* 16 (/ (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3)))) (* (pow y 2) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2)))) (/ (* (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2)))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))))))) (/ (* (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))))) |
(* -1 (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3))))) |
(- (* -64 (* x (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))))) (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3))))) |
(- (* x (- (* -64 (* x (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))))) (* 64 (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3)))))) (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3))))) |
(- (* x (- (* x (- (* -64 (/ x (pow y 3))) (* 64 (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3))))))) (* 64 (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3)))))) (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3))))) |
(* -1 (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))) |
(- (* x (- (* 4 (/ 1 y)) (* 32 (/ (- (* 3/4 y) z) (pow y 2))))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))) |
(- (* x (- (+ (* -16 (/ x (pow y 2))) (* 4 (/ 1 y))) (* 32 (/ (- (* 3/4 y) z) (pow y 2))))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))) |
(- (* 16 (/ (- (* 3/4 y) z) y)) 4) |
(- (+ (* 16 (/ x y)) (* 16 (/ (- (* 3/4 y) z) y))) 4) |
(+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) |
(+ 1 (+ (* x (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))) |
(+ 1 (+ (* x (- (+ (* 16 (/ x (pow y 2))) (* 32 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))) (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))) |
(/ (pow (- (* 3/4 y) z) 3) (pow y 3)) |
(+ (* x (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3)))) (/ (pow (- (* 3/4 y) z) 3) (pow y 3))) |
(+ (* x (+ (* x (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3))))) (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))))) (/ (pow (- (* 3/4 y) z) 3) (pow y 3))) |
(+ (* x (+ (* x (- (+ (* 9/4 (/ 1 (pow y 2))) (/ x (pow y 3))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3))))) (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))))) (/ (pow (- (* 3/4 y) z) 3) (pow y 3))) |
(/ -1 (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))) |
(- (/ (* x (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2)) (/ 1 (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))) |
(- (* x (- (* x (- (* 16 (/ 1 (* (pow y 2) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2)))) (/ (pow (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y))) 2) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 3)))) (* -1 (/ (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2))))) (/ 1 (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))) |
(- (* x (- (* x (- (+ (* -1 (* x (+ (* 16 (/ (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (* (pow y 2) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 3)))) (/ (* (- (* 16 (/ 1 (* (pow y 2) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2)))) (/ (pow (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y))) 2) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 3))) (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))))) (* 16 (/ 1 (* (pow y 2) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2))))) (/ (pow (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y))) 2) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 3)))) (* -1 (/ (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2))))) (/ 1 (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (- (+ (* 4 (/ (* (pow y 2) (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3))))) x)) (* 4 (/ 1 y))) (* 1/4 (/ (* y (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))) x)))) |
(* x (- (+ (* 4 (/ (* (pow y 2) (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3)))) (pow x 2))) (+ (* 4 (/ (* (pow y 2) (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3))))) x)) (* 4 (/ 1 y)))) (+ (* 1/16 (/ (* (pow y 2) (* (- (* 4 (* (pow y 2) (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))))) (* 1/4 (* y (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y))))) (pow x 2))) (+ (* 1/4 (/ (* y (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y))) (pow x 2))) (* 1/4 (/ (* y (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))) x)))))) |
(* x (- (+ (* 1/16 (/ (* (pow y 2) (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3))))) (pow x 3))) (+ (* 4 (/ (* (pow y 2) (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3)))) (pow x 2))) (+ (* 4 (/ (* (pow y 2) (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3))))) x)) (* 4 (/ 1 y))))) (+ (* 1/16 (/ (* (pow y 2) (* (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)) (- (* 4 (* (pow y 2) (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))))) (* 1/4 (* y (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))))))) (pow x 3))) (+ (* 1/16 (/ (* (pow y 2) (* (- (* 4 (* (pow y 2) (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))))) (+ (* 1/16 (* (pow y 2) (* (- (* 4 (* (pow y 2) (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))))) (* 1/4 (* y (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))))) (* 1/4 (* y (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)))))) (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y))))) (pow x 3))) (+ (* 1/16 (/ (* (pow y 2) (* (- (* 4 (* (pow y 2) (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))))) (* 1/4 (* y (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y))))) (pow x 2))) (+ (* 1/4 (/ (* y (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y))) (pow x 2))) (* 1/4 (/ (* y (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))) x)))))))) |
(* -64 (/ (pow x 3) (pow y 3))) |
(* (pow x 3) (- (* -64 (/ (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) x)) (* 64 (/ 1 (pow y 3))))) |
(* (pow x 3) (- (* -64 (/ (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (pow x 2))) (+ (* 64 (/ 1 (pow y 3))) (* 64 (/ (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) x))))) |
(* (pow x 3) (- (* -1 (/ (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3)))) (pow x 3))) (+ (* 64 (/ 1 (pow y 3))) (+ (* 64 (/ (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (pow x 2))) (* 64 (/ (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) x)))))) |
(* -16 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 4 (* x y)) (+ (* 16 (/ 1 (pow y 2))) (+ (* 16 (/ (- 3/4 (/ z y)) (* x y))) (* 16 (/ (- (* 3/4 y) z) (* x (pow y 2)))))))) |
(* (pow x 2) (- (+ (* -1 (/ (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)) (pow x 2))) (/ 4 (* x y))) (+ (* 16 (/ 1 (pow y 2))) (+ (* 16 (/ (- 3/4 (/ z y)) (* x y))) (* 16 (/ (- (* 3/4 y) z) (* x (pow y 2)))))))) |
(* 16 (/ x y)) |
(* x (- (+ (* 16 (/ (- 3/4 (/ z y)) x)) (* 16 (/ 1 y))) (* 4 (/ 1 x)))) |
(* 16 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (+ (* 16 (/ (- 3/4 (/ z y)) (* x y))) (+ (* 16 (/ (- (* 3/4 y) z) (* x (pow y 2)))) (* 16 (/ 1 (pow y 2))))) (/ 4 (* x y)))) |
(* (pow x 2) (- (+ (* 16 (/ (- 3/4 (/ z y)) (* x y))) (+ (* 16 (/ (- (* 3/4 y) z) (* x (pow y 2)))) (+ (/ 1 (pow x 2)) (+ (* 16 (/ 1 (pow y 2))) (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) (* (pow x 2) y)))))) (/ 4 (* x y)))) |
(/ (pow x 3) (pow y 3)) |
(* (pow x 3) (- (+ (/ 1 (pow y 3)) (/ 9/4 (* x (pow y 2)))) (+ (* 2 (/ z (* x (pow y 3)))) (/ z (* x (pow y 3)))))) |
(* (pow x 3) (- (+ (/ 1 (pow y 3)) (+ (/ 9/4 (* x (pow y 2))) (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (* (pow x 2) (pow y 3))) (/ (pow (- (* 3/4 y) z) 2) (* (pow x 2) (pow y 3)))))) (+ (* 2 (/ z (* x (pow y 3)))) (/ z (* x (pow y 3)))))) |
(* (pow x 3) (- (+ (/ 1 (pow y 3)) (+ (/ 9/4 (* x (pow y 2))) (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (* (pow x 2) (pow y 3))) (+ (/ (pow (- (* 3/4 y) z) 2) (* (pow x 2) (pow y 3))) (/ (pow (- (* 3/4 y) z) 3) (* (pow x 3) (pow y 3))))))) (+ (* 2 (/ z (* x (pow y 3)))) (/ z (* x (pow y 3)))))) |
(* -1/16 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/16 (pow y 2)) (* 1/256 (/ (* (pow y 4) (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))) x))) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -1/256 (* (pow y 4) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)))) (* 1/4096 (* (pow y 6) (pow (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y))) 2)))) (pow x 2))) (* -1/16 (pow y 2))) (* -1/256 (/ (* (pow y 4) (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))) x))) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -1/16 (* (pow y 2) (* (+ (* -1/256 (* (pow y 4) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)))) (* 1/4096 (* (pow y 6) (pow (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y))) 2)))) (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))))) (* 1/4096 (* (pow y 6) (* (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)) (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y))))))) (pow x 3))) (* -1/16 (pow y 2))) (+ (* -1/256 (/ (* (pow y 4) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y))) (pow x 2))) (+ (* -1/256 (/ (* (pow y 4) (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))) x)) (* 1/4096 (/ (* (pow y 6) (pow (- (+ (* 16 (/ (- 3/4 (/ z y)) y)) (* 16 (/ (- (* 3/4 y) z) (pow y 2)))) (* 4 (/ 1 y))) 2)) (pow x 2)))))) (pow x 2)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 4 (* (pow y 2) (- (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3)))) (/ z (pow y 3))))) (* -1/4 (* y (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y)))))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 4 (* (pow y 2) (+ (* -2 (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 3/4 y) z) 2) (pow y 3)))))) (+ (* -1/4 (* y (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)))) (* 1/16 (* (pow y 2) (* (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))) (- (* 4 (* (pow y 2) (- (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3)))) (/ z (pow y 3))))) (* -1/4 (* y (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))))))))))) x)) (* 4 (* (pow y 2) (- (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3)))) (/ z (pow y 3)))))) (* -1/4 (* y (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y)))))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/16 (* (pow y 2) (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3)))))) (+ (* 1/16 (* (pow y 2) (* (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)) (- (* 4 (* (pow y 2) (- (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3)))) (/ z (pow y 3))))) (* -1/4 (* y (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))))))))) (* 1/16 (* (pow y 2) (* (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))) (- (* 4 (* (pow y 2) (+ (* -2 (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 3/4 y) z) 2) (pow y 3)))))) (+ (* -1/4 (* y (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)))) (* 1/16 (* (pow y 2) (* (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))) (- (* 4 (* (pow y 2) (- (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3)))) (/ z (pow y 3))))) (* -1/4 (* y (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y)))))))))))))))) x)) (* 4 (* (pow y 2) (+ (* -2 (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 3/4 y) z) 2) (pow y 3))))))) (+ (* -1/4 (* y (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)))) (* 1/16 (* (pow y 2) (* (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))) (- (* 4 (* (pow y 2) (- (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3)))) (/ z (pow y 3))))) (* -1/4 (* y (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))))))))))) x)) (* 4 (* (pow y 2) (- (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3)))) (/ z (pow y 3)))))) (* -1/4 (* y (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y)))))) x)) (* 4 (/ 1 y))))) |
(* -1 (* (pow x 3) (+ (* 64 (/ (- (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3)))) (/ z (pow y 3))) x)) (* 64 (/ 1 (pow y 3)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 64 (/ (+ (* -2 (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 3/4 y) z) 2) (pow y 3)))) x)) (* 64 (- (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3)))) (/ z (pow y 3))))) x)) (* 64 (/ 1 (pow y 3)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1 (/ (- (+ (* 64 (/ (pow (- (* 3/4 y) z) 3) (* x (pow y 3)))) (/ 1 x)) (* 64 (+ (* -2 (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 3/4 y) z) 2) (pow y 3)))))) x)) (* 64 (- (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3)))) (/ z (pow y 3))))) x)) (* 64 (/ 1 (pow y 3)))))) |
(* (pow x 2) (- (+ (* -16 (/ (- (* 3/4 y) z) (* x (pow y 2)))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) (* x y)))) (* 16 (/ 1 (pow y 2))))) |
(* (pow x 2) (- (* -1 (/ (- (+ (/ 1 x) (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) (* x y))) (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y)))) x)) (* 16 (/ 1 (pow y 2))))) |
(* -1 (* x (- (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) x)) (* 16 (/ 1 y))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))) x)) (* 16 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (+ (* -1 (/ (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)) x)) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y)))) x)) (* 16 (/ 1 (pow y 2))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3)))) (/ z (pow y 3))) x)) (/ 1 (pow y 3))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 3/4 y) z) 2) (pow y 3)))) x)) (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3))))) (/ z (pow y 3))) x)) (/ 1 (pow y 3))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (+ (* -1 (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 3/4 y) z) 3) (* x (pow y 3)))))) x)) (+ (* 3/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 3/4 y) z) (pow y 3))))) (/ z (pow y 3))) x)) (/ 1 (pow y 3))))) |
(/ (+ (* -1/16 (pow y 2)) (* -1/256 (/ (* (pow y 4) (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y)))) x))) (pow x 2)) |
(/ (+ (* -1 (/ (- (+ (* -1/256 (/ (* (pow y 4) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y))) x)) (* 1/4096 (/ (* (pow y 6) (pow (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))) 2)) x))) (* -1/256 (* (pow y 4) (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y)))))) x)) (* -1/16 (pow y 2))) (pow x 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow y 2) (* (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))) (+ (* -1/256 (* (pow y 4) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)))) (* 1/4096 (* (pow y 6) (pow (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))) 2)))))) x)) (* 1/4096 (/ (* (pow y 6) (* (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)) (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))))) x))) (+ (* -1/256 (* (pow y 4) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (- 3/4 (/ z y))) 4)) y)))) (* 1/4096 (* (pow y 6) (pow (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y))) 2))))) x)) (* -1/256 (* (pow y 4) (+ (* -16 (/ (- (* 3/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 3/4 (/ z y))) 4) y)))))) x)) (* -1/16 (pow y 2))) (pow x 2)) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(/ (+ (* 4 x) (* 4 y)) y) |
(/ 4 y) |
(/ (+ (* -4 z) (* 4 y)) y) |
(/ -4 y) |
(/ (- x z) y) |
(/ (+ (* 4 (- x z)) (* y (- (* 4 (/ (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))) (pow (- x z) 2))) (* 1/4 (/ (+ (* 8 (- x z)) (* 12 (- x z))) (- x z)))))) y) |
(/ (+ (* 4 (- x z)) (* y (- (+ (* 4 (/ (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))) (pow (- x z) 2))) (* y (- (* 4 (/ (+ (* 9/16 (- x z)) (* 9/8 (- x z))) (pow (- x z) 2))) (+ (* 1/16 (/ (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* 4 (/ (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))) (pow (- x z) 2))) (* 1/4 (/ (+ (* 8 (- x z)) (* 12 (- x z))) (- x z))))) (pow (- x z) 2))) (* 7/4 (/ 1 (- x z))))))) (* 1/4 (/ (+ (* 8 (- x z)) (* 12 (- x z))) (- x z)))))) y) |
(/ (+ (* 4 (- x z)) (* y (- (+ (* 4 (/ (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))) (pow (- x z) 2))) (* y (- (+ (* 4 (/ (+ (* 9/16 (- x z)) (* 9/8 (- x z))) (pow (- x z) 2))) (* y (- (* 7/4 (/ 1 (pow (- x z) 2))) (+ (* 1/16 (/ (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* 4 (/ (+ (* 9/16 (- x z)) (* 9/8 (- x z))) (pow (- x z) 2))) (+ (* 1/16 (/ (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* 4 (/ (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))) (pow (- x z) 2))) (* 1/4 (/ (+ (* 8 (- x z)) (* 12 (- x z))) (- x z))))) (pow (- x z) 2))) (* 7/4 (/ 1 (- x z)))))) (pow (- x z) 2))) (* 7/16 (/ (- (* 4 (/ (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))) (pow (- x z) 2))) (* 1/4 (/ (+ (* 8 (- x z)) (* 12 (- x z))) (- x z)))) (pow (- x z) 2))))))) (+ (* 1/16 (/ (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* 4 (/ (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))) (pow (- x z) 2))) (* 1/4 (/ (+ (* 8 (- x z)) (* 12 (- x z))) (- x z))))) (pow (- x z) 2))) (* 7/4 (/ 1 (- x z))))))) (* 1/4 (/ (+ (* 8 (- x z)) (* 12 (- x z))) (- x z)))))) y) |
(* -64 (/ (pow (- x z) 3) (pow y 3))) |
(/ (- (* -64 (* y (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))))) (* 64 (pow (- x z) 3))) (pow y 3)) |
(/ (- (* y (- (* -64 (* y (+ (* 9/16 (- x z)) (* 9/8 (- x z))))) (* 64 (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2)))))) (* 64 (pow (- x z) 3))) (pow y 3)) |
(/ (- (* y (- (* y (- (* -28 y) (* 64 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))))) (* 64 (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2)))))) (* 64 (pow (- x z) 3))) (pow y 3)) |
(* -16 (/ (pow (- x z) 2) (pow y 2))) |
(/ (- (* -1 (* y (+ (* 8 (- x z)) (* 12 (- x z))))) (* 16 (pow (- x z) 2))) (pow y 2)) |
(/ (- (* y (- (* -7 y) (+ (* 8 (- x z)) (* 12 (- x z))))) (* 16 (pow (- x z) 2))) (pow y 2)) |
(* 16 (/ (- x z) y)) |
(/ (+ (* 8 y) (* 16 (- x z))) y) |
(* 16 (/ (pow (- x z) 2) (pow y 2))) |
(/ (+ (* 16 (pow (- x z) 2)) (* y (+ (* 8 (- x z)) (* 12 (- x z))))) (pow y 2)) |
(/ (+ (* 16 (pow (- x z) 2)) (* y (+ (* 7 y) (+ (* 8 (- x z)) (* 12 (- x z)))))) (pow y 2)) |
(/ (pow (- x z) 3) (pow y 3)) |
(/ (+ (* y (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2)))) (pow (- x z) 3)) (pow y 3)) |
(/ (+ (* y (+ (* 3/4 (pow (- x z) 2)) (+ (* 3/2 (pow (- x z) 2)) (* y (+ (* 9/16 (- x z)) (* 9/8 (- x z))))))) (pow (- x z) 3)) (pow y 3)) |
(/ (+ (* y (+ (* 3/4 (pow (- x z) 2)) (+ (* 3/2 (pow (- x z) 2)) (* y (+ (* 27/64 y) (+ (* 9/16 (- x z)) (* 9/8 (- x z)))))))) (pow (- x z) 3)) (pow y 3)) |
(* -1/16 (/ (pow y 2) (pow (- x z) 2))) |
(* (pow y 2) (- (* 1/256 (/ (* y (+ (* 8 (- x z)) (* 12 (- x z)))) (pow (- x z) 4))) (* 1/16 (/ 1 (pow (- x z) 2))))) |
(* (pow y 2) (- (* y (- (* y (- (* 7/256 (/ 1 (pow (- x z) 4))) (* 1/4096 (/ (pow (+ (* 8 (- x z)) (* 12 (- x z))) 2) (pow (- x z) 6))))) (* -1/256 (/ (+ (* 8 (- x z)) (* 12 (- x z))) (pow (- x z) 4))))) (* 1/16 (/ 1 (pow (- x z) 2))))) |
(* (pow y 2) (- (* y (- (* y (- (+ (* -1 (* y (+ (* 7/4096 (/ (+ (* 8 (- x z)) (* 12 (- x z))) (pow (- x z) 6))) (* 1/16 (/ (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* 7/256 (/ 1 (pow (- x z) 4))) (* 1/4096 (/ (pow (+ (* 8 (- x z)) (* 12 (- x z))) 2) (pow (- x z) 6))))) (pow (- x z) 2)))))) (* 7/256 (/ 1 (pow (- x z) 4)))) (* 1/4096 (/ (pow (+ (* 8 (- x z)) (* 12 (- x z))) 2) (pow (- x z) 6))))) (* -1/256 (/ (+ (* 8 (- x z)) (* 12 (- x z))) (pow (- x z) 4))))) (* 1/16 (/ 1 (pow (- x z) 2))))) |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 4 (* -4 (/ z y))) |
(- (+ 4 (* 64/7 (/ (+ (* 9/16 (- x z)) (* 9/8 (- x z))) y))) (* 4/7 (/ (+ (* 8 (- x z)) (* 12 (- x z))) y))) |
(- (+ 4 (+ (* 64/7 (/ (+ (* 9/16 (- x z)) (* 9/8 (- x z))) y)) (* 64/7 (/ (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))) (pow y 2))))) (+ (* 1/7 (/ (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* 64/7 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* 4/7 (+ (* 8 (- x z)) (* 12 (- x z)))))) (pow y 2))) (+ (* 4/7 (/ (+ (* 8 (- x z)) (* 12 (- x z))) y)) (* 64/7 (/ (pow (- x z) 2) (pow y 2)))))) |
(- (+ 4 (+ (* 64/7 (/ (+ (* 9/16 (- x z)) (* 9/8 (- x z))) y)) (+ (* 64/7 (/ (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))) (pow y 2))) (* 64/7 (/ (pow (- x z) 3) (pow y 3)))))) (+ (* 1/7 (/ (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* 64/7 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* 4/7 (+ (* 8 (- x z)) (* 12 (- x z)))))) (pow y 2))) (+ (* 1/7 (/ (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* 64/7 (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2)))) (+ (* 1/7 (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* 64/7 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* 4/7 (+ (* 8 (- x z)) (* 12 (- x z))))))) (* 64/7 (pow (- x z) 2))))) (pow y 3))) (+ (* 4/7 (/ (+ (* 8 (- x z)) (* 12 (- x z))) y)) (+ (* 16/7 (/ (* (pow (- x z) 2) (- (* 64/7 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* 4/7 (+ (* 8 (- x z)) (* 12 (- x z)))))) (pow y 3))) (* 64/7 (/ (pow (- x z) 2) (pow y 2)))))))) |
-28 |
(- (* -64 (/ (+ (* 9/16 (- x z)) (* 9/8 (- x z))) y)) 28) |
(- (* -64 (/ (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))) (pow y 2))) (+ 28 (* 64 (/ (+ (* 9/16 (- x z)) (* 9/8 (- x z))) y)))) |
(- (* -64 (/ (pow (- x z) 3) (pow y 3))) (+ 28 (+ (* 64 (/ (+ (* 9/16 (- x z)) (* 9/8 (- x z))) y)) (* 64 (/ (+ (* 3/4 (pow (- x z) 2)) (* 3/2 (pow (- x z) 2))) (pow y 2)))))) |
-7 |
(- (* -1 (/ (+ (* 8 (- x z)) (* 12 (- x z))) y)) 7) |
(- (* -16 (/ (pow (- x z) 2) (pow y 2))) (+ 7 (+ (* 8 (/ (- x z) y)) (* 12 (/ (- x z) y))))) |
8 |
(+ 8 (* 16 (/ (- x z) y))) |
7 |
(+ 7 (+ (* 8 (/ (- x z) y)) (* 12 (/ (- x z) y)))) |
(+ 7 (+ (* 8 (/ (- x z) y)) (+ (* 12 (/ (- x z) y)) (* 16 (/ (pow (- x z) 2) (pow y 2)))))) |
27/64 |
(+ 27/64 (+ (* 9/16 (/ (- x z) y)) (* 9/8 (/ (- x z) y)))) |
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(+ 27/64 (+ (* 9/16 (/ (- x z) y)) (+ (* 3/4 (/ (pow (- x z) 2) (pow y 2))) (+ (* 9/8 (/ (- x z) y)) (+ (* 3/2 (/ (pow (- x z) 2) (pow y 2))) (/ (pow (- x z) 3) (pow y 3))))))) |
-1/7 |
(- (* 1/49 (/ (+ (* 8 (- x z)) (* 12 (- x z))) y)) 1/7) |
(- (* -1 (/ (+ (* -16/49 (pow (- x z) 2)) (* 1/343 (pow (+ (* 8 (- x z)) (* 12 (- x z))) 2))) (pow y 2))) (+ 1/7 (* -1/49 (/ (+ (* 8 (- x z)) (* 12 (- x z))) y)))) |
(- (* -1 (/ (+ (* -1/7 (* (+ (* -16/49 (pow (- x z) 2)) (* 1/343 (pow (+ (* 8 (- x z)) (* 12 (- x z))) 2))) (+ (* 8 (- x z)) (* 12 (- x z))))) (* 16/343 (* (+ (* 8 (- x z)) (* 12 (- x z))) (pow (- x z) 2)))) (pow y 3))) (+ 1/7 (+ (* -16/49 (/ (pow (- x z) 2) (pow y 2))) (+ (* -1/49 (/ (+ (* 8 (- x z)) (* 12 (- x z))) y)) (* 1/343 (/ (pow (+ (* 8 (- x z)) (* 12 (- x z))) 2) (pow y 2))))))) |
(+ 4 (* -1 (/ (- (* -64/7 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* -4/7 (+ (* 8 (- x z)) (* 12 (- x z))))) y))) |
(+ 4 (* -1 (/ (- (+ (* -64/7 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* -1 (/ (- (* -64/7 (+ (* -3/2 (pow (- x z) 2)) (* -3/4 (pow (- x z) 2)))) (+ (* -1/7 (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* -64/7 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* -4/7 (+ (* 8 (- x z)) (* 12 (- x z))))))) (* 64/7 (pow (- x z) 2)))) y))) (* -4/7 (+ (* 8 (- x z)) (* 12 (- x z))))) y))) |
(+ 4 (* -1 (/ (- (+ (* -64/7 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* -1 (/ (- (+ (* -64/7 (+ (* -3/2 (pow (- x z) 2)) (* -3/4 (pow (- x z) 2)))) (* -1 (/ (- (* -64/7 (pow (- x z) 3)) (+ (* -1/7 (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* -64/7 (+ (* -3/2 (pow (- x z) 2)) (* -3/4 (pow (- x z) 2)))) (+ (* -1/7 (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* -64/7 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* -4/7 (+ (* 8 (- x z)) (* 12 (- x z))))))) (* 64/7 (pow (- x z) 2)))))) (* 16/7 (* (pow (- x z) 2) (- (* -64/7 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* -4/7 (+ (* 8 (- x z)) (* 12 (- x z))))))))) y))) (+ (* -1/7 (* (+ (* 8 (- x z)) (* 12 (- x z))) (- (* -64/7 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* -4/7 (+ (* 8 (- x z)) (* 12 (- x z))))))) (* 64/7 (pow (- x z) 2)))) y))) (* -4/7 (+ (* 8 (- x z)) (* 12 (- x z))))) y))) |
(- (* -1 (/ (- (* -64 (/ (+ (* -3/2 (pow (- x z) 2)) (* -3/4 (pow (- x z) 2))) y)) (* -64 (+ (* 9/16 (- x z)) (* 9/8 (- x z))))) y)) 28) |
(- (* -1 (/ (- (* -1 (/ (- (* -64 (/ (pow (- x z) 3) y)) (* -64 (+ (* -3/2 (pow (- x z) 2)) (* -3/4 (pow (- x z) 2))))) y)) (* -64 (+ (* 9/16 (- x z)) (* 9/8 (- x z))))) y)) 28) |
(- (* -1 (/ (- (* 16 (/ (pow (- x z) 2) y)) (* -1 (+ (* 8 (- x z)) (* 12 (- x z))))) y)) 7) |
(+ 7 (* -1 (/ (+ (* -16 (/ (pow (- x z) 2) y)) (* -1 (+ (* 8 (- x z)) (* 12 (- x z))))) y))) |
(+ 27/64 (* -1 (/ (+ (* -3/2 (/ (pow (- x z) 2) y)) (+ (* -1 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* -3/4 (/ (pow (- x z) 2) y)))) y))) |
(+ 27/64 (* -1 (/ (+ (* -1 (+ (* 9/16 (- x z)) (* 9/8 (- x z)))) (* -1 (/ (+ (* -1 (+ (* -3/2 (pow (- x z) 2)) (* -3/4 (pow (- x z) 2)))) (/ (pow (- x z) 3) y)) y))) y))) |
(- (* -1 (/ (- (+ (* -16/49 (/ (pow (- x z) 2) y)) (* 1/343 (/ (pow (+ (* 8 (- x z)) (* 12 (- x z))) 2) y))) (* 1/49 (+ (* 8 (- x z)) (* 12 (- x z))))) y)) 1/7) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -16/343 (/ (* (+ (* 8 (- x z)) (* 12 (- x z))) (pow (- x z) 2)) y)) (* 1/7 (/ (* (+ (* -16/49 (pow (- x z) 2)) (* 1/343 (pow (+ (* 8 (- x z)) (* 12 (- x z))) 2))) (+ (* 8 (- x z)) (* 12 (- x z)))) y))) (+ (* -16/49 (pow (- x z) 2)) (* 1/343 (pow (+ (* 8 (- x z)) (* 12 (- x z))) 2)))) y)) (* 1/49 (+ (* 8 (- x z)) (* 12 (- x z))))) y)) 1/7) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(+ x (* -1 z)) |
(/ (+ 1 (* 64 (/ (pow (+ x (* 3/4 y)) 3) (pow y 3)))) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y))) |
(+ (* 64 (/ (pow (+ x (* 3/4 y)) 3) (* (pow y 3) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y))))) (+ (* z (- (* 64 (/ (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3)))) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (+ x (* 3/4 y)) 3) (pow y 3)))) (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y)))) (pow (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y))))) |
(+ (* 64 (/ (pow (+ x (* 3/4 y)) 3) (* (pow y 3) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y))))) (+ (* z (- (+ (* 64 (/ (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3)))) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)))) (* z (- (* 64 (/ (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 3/4 y)) (pow y 3))) (/ x (pow y 3)))) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)))) (+ (* 16 (/ (+ 1 (* 64 (/ (pow (+ x (* 3/4 y)) 3) (pow y 3)))) (* (pow y 2) (pow (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)) 2)))) (/ (* (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y))) (- (* 64 (/ (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3)))) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (+ x (* 3/4 y)) 3) (pow y 3)))) (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y)))) (pow (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)) 2)))) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y))))))) (/ (* (+ 1 (* 64 (/ (pow (+ x (* 3/4 y)) 3) (pow y 3)))) (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y)))) (pow (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y))))) |
(+ (* 64 (/ (pow (+ x (* 3/4 y)) 3) (* (pow y 3) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y))))) (+ (* z (- (+ (* 64 (/ (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3)))) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)))) (* z (- (+ (* -1 (* z (+ (* 16 (/ (- (* 64 (/ (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3)))) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (+ x (* 3/4 y)) 3) (pow y 3)))) (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y)))) (pow (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)) 2))) (* (pow y 2) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y))))) (+ (* 64 (/ 1 (* (pow y 3) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y))))) (/ (* (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y))) (- (* 64 (/ (+ (* 2 (/ (+ x (* 3/4 y)) (pow y 3))) (+ (* 3/4 (/ 1 (pow y 2))) (/ x (pow y 3)))) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)))) (+ (* 16 (/ (+ 1 (* 64 (/ (pow (+ x (* 3/4 y)) 3) (pow y 3)))) (* (pow y 2) (pow (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)) 2)))) (/ (* (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y))) (- (* 64 (/ (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3)))) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (+ x (* 3/4 y)) 3) (pow y 3)))) (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y)))) (pow (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)) 2)))) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)))))) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y))))))) (* 64 (/ (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 3/4 y)) (pow y 3))) (/ x (pow y 3)))) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y))))) (+ (* 16 (/ (+ 1 (* 64 (/ (pow (+ x (* 3/4 y)) 3) (pow y 3)))) (* (pow y 2) (pow (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)) 2)))) (/ (* (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y))) (- (* 64 (/ (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3)))) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (+ x (* 3/4 y)) 3) (pow y 3)))) (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y)))) (pow (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)) 2)))) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y))))))) (/ (* (+ 1 (* 64 (/ (pow (+ x (* 3/4 y)) 3) (pow y 3)))) (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y)))) (pow (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y))))) |
(* -1 (+ 1 (* 64 (/ (pow (+ x (* 3/4 y)) 3) (pow y 3))))) |
(- (* -64 (* z (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3)))))) (+ 1 (* 64 (/ (pow (+ x (* 3/4 y)) 3) (pow y 3))))) |
(- (* z (- (* -64 (* z (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 3/4 y)) (pow y 3))) (/ x (pow y 3)))))) (* 64 (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))))))) (+ 1 (* 64 (/ (pow (+ x (* 3/4 y)) 3) (pow y 3))))) |
(- (* z (- (* z (- (* 64 (/ z (pow y 3))) (* 64 (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 3/4 y)) (pow y 3))) (/ x (pow y 3))))))) (* 64 (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))))))) (+ 1 (* 64 (/ (pow (+ x (* 3/4 y)) 3) (pow y 3))))) |
(* -1 (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y))) |
(- (* -1 (* z (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y))))) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y))) |
(- (* z (- (* -16 (/ z (pow y 2))) (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y))))) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y))) |
(- (* 16 (/ (+ x (* 3/4 y)) y)) 4) |
(- (+ (* -16 (/ z y)) (* 16 (/ (+ x (* 3/4 y)) y))) 4) |
(+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)) |
(+ 1 (+ (* z (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y)))) (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y))) |
(+ 1 (+ (* z (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (+ (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y)) (* 16 (/ z (pow y 2)))))) (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y))) |
(/ (pow (+ x (* 3/4 y)) 3) (pow y 3)) |
(+ (* z (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))))) (/ (pow (+ x (* 3/4 y)) 3) (pow y 3))) |
(+ (* z (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) (+ (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) (* z (+ (* 2 (/ (+ x (* 3/4 y)) (pow y 3))) (+ (* 3/4 (/ 1 (pow y 2))) (/ x (pow y 3)))))))) (/ (pow (+ x (* 3/4 y)) 3) (pow y 3))) |
(+ (* z (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) (+ (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) (* z (+ (* -1 (/ z (pow y 3))) (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 3/4 y)) (pow y 3))) (/ x (pow y 3))))))))) (/ (pow (+ x (* 3/4 y)) 3) (pow y 3))) |
(/ -1 (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y))) |
(- (/ (* z (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y)))) (pow (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)) 2)) (/ 1 (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)))) |
(- (* z (- (* z (- (* 16 (/ 1 (* (pow y 2) (pow (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)) 2)))) (/ (pow (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y))) 2) (pow (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)) 3)))) (* -1 (/ (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y))) (pow (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)) 2))))) (/ 1 (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)))) |
(- (* z (- (* z (- (+ (* -1 (* z (+ (* 16 (/ (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y))) (* (pow y 2) (pow (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)) 3)))) (/ (* (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y))) (- (* 16 (/ 1 (* (pow y 2) (pow (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)) 2)))) (/ (pow (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y))) 2) (pow (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)) 3)))) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)))))) (* 16 (/ 1 (* (pow y 2) (pow (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)) 2))))) (/ (pow (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y))) 2) (pow (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)) 3)))) (* -1 (/ (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 3/4 y)) y)) 4) y))) (pow (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)) 2))))) (/ 1 (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (/ (+ x (* 3/4 y)) y)) 4)) y)))) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* z (- (/ x z) 1)) |
(* z (- (* 4 (/ (* (pow y 2) (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 3/4 y)) (pow y 3))) (/ x (pow y 3))))) z)) (+ (* -1/4 (/ (* y (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y)))) z)) (* 4 (/ 1 y))))) |
(* z (- (+ (* 4 (/ (* (pow y 2) (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))))) (pow z 2))) (* 4 (/ (* (pow y 2) (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 3/4 y)) (pow y 3))) (/ x (pow y 3))))) z))) (+ (* -1/4 (/ (* y (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y))) (pow z 2))) (+ (* -1/4 (/ (* y (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y)))) z)) (+ (* 1/16 (/ (* (pow y 2) (* (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y))) (- (* 4 (* (pow y 2) (+ (* 2 (/ (+ x (* 3/4 y)) (pow y 3))) (+ (* 3/4 (/ 1 (pow y 2))) (/ x (pow y 3)))))) (* -1/4 (* y (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y)))))))) (pow z 2))) (* 4 (/ 1 y))))))) |
(* z (- (+ (* 1/16 (/ (* (pow y 2) (+ 1 (* 64 (/ (pow (+ x (* 3/4 y)) 3) (pow y 3))))) (pow z 3))) (+ (* 4 (/ (* (pow y 2) (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))))) (pow z 2))) (* 4 (/ (* (pow y 2) (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 3/4 y)) (pow y 3))) (/ x (pow y 3))))) z)))) (+ (* -1/4 (/ (* y (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y))) (pow z 2))) (+ (* -1/4 (/ (* y (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y)))) z)) (+ (* 1/16 (/ (* (pow y 2) (* (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)) (- (* 4 (* (pow y 2) (+ (* 2 (/ (+ x (* 3/4 y)) (pow y 3))) (+ (* 3/4 (/ 1 (pow y 2))) (/ x (pow y 3)))))) (* -1/4 (* y (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y)))))))) (pow z 3))) (+ (* 1/16 (/ (* (pow y 2) (* (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y))) (- (* 4 (* (pow y 2) (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3)))))) (+ (* -1/4 (* y (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)))) (* 1/16 (* (pow y 2) (* (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y))) (- (* 4 (* (pow y 2) (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 3/4 y)) (pow y 3))) (/ x (pow y 3)))))) (* -1/4 (* y (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y))))))))))))) (pow z 3))) (+ (* 1/16 (/ (* (pow y 2) (* (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y))) (- (* 4 (* (pow y 2) (+ (* 2 (/ (+ x (* 3/4 y)) (pow y 3))) (+ (* 3/4 (/ 1 (pow y 2))) (/ x (pow y 3)))))) (* -1/4 (* y (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y)))))))) (pow z 2))) (* 4 (/ 1 y))))))))) |
(* 64 (/ (pow z 3) (pow y 3))) |
(* (pow z 3) (+ (* -64 (/ (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 3/4 y)) (pow y 3))) (/ x (pow y 3)))) z)) (* 64 (/ 1 (pow y 3))))) |
(* (pow z 3) (- (+ (* -64 (/ (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3)))) (pow z 2))) (* 64 (/ 1 (pow y 3)))) (* 64 (/ (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 3/4 y)) (pow y 3))) (/ x (pow y 3)))) z)))) |
(* (pow z 3) (- (+ (* -1 (/ (+ 1 (* 64 (/ (pow (+ x (* 3/4 y)) 3) (pow y 3)))) (pow z 3))) (* 64 (/ 1 (pow y 3)))) (+ (* 64 (/ (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow y 3)))) (pow z 2))) (* 64 (/ (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 3/4 y)) (pow y 3))) (/ x (pow y 3)))) z))))) |
(* -16 (/ (pow z 2) (pow y 2))) |
(* (pow z 2) (- (* -1 (/ (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y))) z)) (* 16 (/ 1 (pow y 2))))) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)) (pow z 2))) (+ (* -16 (/ (+ x (* 3/4 y)) (* (pow y 2) z))) (+ (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) (* y z))) (* 16 (/ 1 (pow y 2))))))) |
(* -16 (/ z y)) |
(* z (- (* 16 (/ (+ 3/4 (/ x y)) z)) (+ (* 16 (/ 1 y)) (* 4 (/ 1 z))))) |
(* 16 (/ (pow z 2) (pow y 2))) |
(* (pow z 2) (+ (* -16 (/ (+ x (* 3/4 y)) (* (pow y 2) z))) (+ (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) (* y z))) (* 16 (/ 1 (pow y 2)))))) |
(* (pow z 2) (+ (* -16 (/ (+ x (* 3/4 y)) (* (pow y 2) z))) (+ (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) (* y z))) (+ (* 16 (/ 1 (pow y 2))) (+ (/ 1 (pow z 2)) (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) (* y (pow z 2)))))))) |
(* -1 (/ (pow z 3) (pow y 3))) |
(* (pow z 3) (- (+ (* 2 (/ (+ x (* 3/4 y)) (* (pow y 3) z))) (+ (/ 3/4 (* (pow y 2) z)) (/ x (* (pow y 3) z)))) (/ 1 (pow y 3)))) |
(* (pow z 3) (- (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (* (pow y 3) (pow z 2)))) (+ (* -1 (/ (pow (+ x (* 3/4 y)) 2) (* (pow y 3) (pow z 2)))) (+ (* 2 (/ (+ x (* 3/4 y)) (* (pow y 3) z))) (+ (/ 3/4 (* (pow y 2) z)) (/ x (* (pow y 3) z)))))) (/ 1 (pow y 3)))) |
(* (pow z 3) (- (+ (* -2 (/ (pow (+ x (* 3/4 y)) 2) (* (pow y 3) (pow z 2)))) (+ (* -1 (/ (pow (+ x (* 3/4 y)) 2) (* (pow y 3) (pow z 2)))) (+ (* 2 (/ (+ x (* 3/4 y)) (* (pow y 3) z))) (+ (/ 3/4 (* (pow y 2) z)) (+ (/ x (* (pow y 3) z)) (/ (pow (+ x (* 3/4 y)) 3) (* (pow y 3) (pow z 3)))))))) (/ 1 (pow y 3)))) |
(* -1/16 (/ (pow y 2) (pow z 2))) |
(/ (+ (* -1/16 (pow y 2)) (* 1/256 (/ (* (pow y 4) (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y)))) z))) (pow z 2)) |
(/ (- (+ (* -1 (/ (+ (* -1/256 (* (pow y 4) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)))) (* 1/4096 (* (pow y 6) (pow (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y))) 2)))) (pow z 2))) (* -1/16 (pow y 2))) (* -1/256 (/ (* (pow y 4) (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y)))) z))) (pow z 2)) |
(/ (- (+ (* -1 (/ (+ (* -1/16 (* (pow y 2) (* (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y))) (+ (* -1/256 (* (pow y 4) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)))) (* 1/4096 (* (pow y 6) (pow (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y))) 2))))))) (* 1/4096 (* (pow y 6) (* (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)) (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y))))))) (pow z 3))) (* -1/16 (pow y 2))) (+ (* -1/256 (/ (* (pow y 4) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y))) (pow z 2))) (+ (* -1/256 (/ (* (pow y 4) (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y)))) z)) (* 1/4096 (/ (* (pow y 6) (pow (+ (* -16 (/ (+ x (* 3/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) y))) 2)) (pow z 2)))))) (pow z 2)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z))))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (/ (- (* 4 (* (pow y 2) (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 3/2 (/ 1 (pow y 2))) (/ x (pow y 3))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (* 4 (* (pow y 2) (+ (/ (* (+ x (* 3/4 y)) (+ (* 3/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))))) (+ (* 1/16 (* (pow y 2) (* (- (* 4 (* (pow y 2) (+ (* 3/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 3/4 (/ 1 (pow y 2))) (/ x (pow y 3))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (* 1/4 (* y (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)))))) z)) (* 4 (* (pow y 2) (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 3/2 (/ 1 (pow y 2))) (/ x (pow y 3)))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/16 (* (pow y 2) (+ 1 (* 64 (/ (pow (+ x (* 3/4 y)) 3) (pow y 3)))))) (+ (* 1/16 (* (pow y 2) (* (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)) (- (* 4 (* (pow y 2) (+ (* 3/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 3/4 (/ 1 (pow y 2))) (/ x (pow y 3))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y))))))))) (* 1/16 (* (pow y 2) (* (- (* 4 (* (pow y 2) (+ (/ (* (+ x (* 3/4 y)) (+ (* 3/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))))) (+ (* 1/16 (* (pow y 2) (* (- (* 4 (* (pow y 2) (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 3/2 (/ 1 (pow y 2))) (/ x (pow y 3))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (* 1/4 (* y (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)))))) (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))))) z)) (* 4 (* (pow y 2) (+ (/ (* (+ x (* 3/4 y)) (+ (* 3/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 3/4 y)) 2) (pow y 3)))))) (+ (* 1/16 (* (pow y 2) (* (- (* 4 (* (pow y 2) (+ (* 3/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 3/4 (/ 1 (pow y 2))) (/ x (pow y 3))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (* 1/4 (* y (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)))))) z)) (* 4 (* (pow y 2) (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 3/2 (/ 1 (pow y 2))) (/ x (pow y 3)))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) z)) (* 4 (/ 1 y))))) |
(* -1 (* (pow z 3) (- (* 64 (/ (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 3/2 (/ 1 (pow y 2))) (/ x (pow y 3))))) z)) (* 64 (/ 1 (pow y 3)))))) |
(* -1 (* (pow z 3) (- (* -1 (/ (- (* 64 (/ (+ (/ (* (+ x (* 3/4 y)) (+ (* 3/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) z)) (* 64 (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 3/2 (/ 1 (pow y 2))) (/ x (pow y 3))))))) z)) (* 64 (/ 1 (pow y 3)))))) |
(* -1 (* (pow z 3) (- (* -1 (/ (- (* -1 (/ (- (+ (* 64 (/ (pow (+ x (* 3/4 y)) 3) (* (pow y 3) z))) (/ 1 z)) (* 64 (+ (/ (* (+ x (* 3/4 y)) (+ (* 3/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))))) z)) (* 64 (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 3/2 (/ 1 (pow y 2))) (/ x (pow y 3))))))) z)) (* 64 (/ 1 (pow y 3)))))) |
(* (pow z 2) (- (* -1 (/ (- (* 4 (/ 1 y)) (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2))))) z)) (* 16 (/ 1 (pow y 2))))) |
(* (pow z 2) (- (* -1 (/ (- (+ (* 4 (/ 1 y)) (+ (/ 1 z) (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) (* y z)))) (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2))))) z)) (* 16 (/ 1 (pow y 2))))) |
(* -1 (* z (+ (* -1 (/ (- (* 16 (+ 3/4 (/ x y))) 4) z)) (* 16 (/ 1 y))))) |
(* (pow z 2) (+ (* -1 (/ (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y))) z)) (* 16 (/ 1 (pow y 2))))) |
(* (pow z 2) (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)) z)) (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2))))) (* 4 (/ 1 y))) z)) (* 16 (/ 1 (pow y 2))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 3/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 3/4 (/ 1 (pow y 2))) (/ x (pow y 3))))) z)) (/ 1 (pow y 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (/ (* (+ x (* 3/4 y)) (+ (* 3/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 3/4 y)) 2) (pow y 3))) z)) (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 3/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (/ x (pow y 3)))))) z)) (/ 1 (pow y 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ x (* 3/4 y)) 3) (* (pow y 3) z))) (+ (/ (* (+ x (* 3/4 y)) (+ (* 3/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 3/4 y)) 2) (pow y 3)))) z)) (+ (* 3/4 (/ 1 (pow y 2))) (+ (* 3/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (/ x (pow y 3)))))) z)) (/ 1 (pow y 3))))) |
(/ (+ (* -1/16 (pow y 2)) (* -1/256 (/ (* (pow y 4) (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))) z))) (pow z 2)) |
(/ (+ (* -1 (/ (- (+ (* -1/256 (/ (* (pow y 4) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y))) z)) (* 1/4096 (/ (* (pow y 6) (pow (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y))) 2)) z))) (* -1/256 (* (pow y 4) (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) z)) (* -1/16 (pow y 2))) (pow z 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow y 2) (* (+ (* -1/256 (* (pow y 4) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)))) (* 1/4096 (* (pow y 6) (pow (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y))) 2)))) (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y))))) z)) (* 1/4096 (/ (* (pow y 6) (* (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)) (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y))))) z))) (+ (* -1/256 (* (pow y 4) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)))) (* 1/4096 (* (pow y 6) (pow (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y))) 2))))) z)) (* -1/256 (* (pow y 4) (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) z)) (* -1/16 (pow y 2))) (pow z 2)) |
| Outputs |
|---|
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) y) z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) y) z) y)) #s(literal 1 binary64)) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 4 (/ x y))) |
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) |
(* 4 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/ x y) |
(/.f64 x y) |
(* -4 (/ z y)) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(fma.f64 (/.f64 x y) #s(literal 4 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
(/ (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3)))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 64 binary64) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) y) z) (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) y) z) y) #s(literal -4 binary64)) y) #s(literal 1 binary64))) |
(+ (* 64 (/ (pow (- (* 3/4 y) z) 3) (* (pow y 3) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))))) (+ (* x (- (* 64 (/ (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 3/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 3/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (- (* 3/4 y) z) (- (* 16 (/ (- (* 3/4 y) z) y)) 4)) y))))) |
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(/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
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(* (pow x 3) (- (* -64 (/ (+ (/ (* (- (* 3/4 y) z) (- (* 3/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 3/4 y) z) 2) (pow y 3))) (pow x 2))) (+ (* 64 (/ 1 (pow y 3))) (* 64 (/ (- (* 9/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) x))))) |
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(* 64 (/ (pow z 3) (pow y 3))) |
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(/ (+ (* -1/16 (pow y 2)) (* -1/256 (/ (* (pow y 4) (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))) z))) (pow z 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (+.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 3/4 binary64)) y) (/.f64 (fma.f64 #s(literal 3/4 binary64) y x) (*.f64 y y))) (neg.f64 (/.f64 #s(literal 4 binary64) y))) (pow.f64 y #s(literal 4 binary64))) z) #s(literal -1/256 binary64) (*.f64 #s(literal -1/16 binary64) (*.f64 y y))) (*.f64 z z)) |
(/ (+ (* -1 (/ (- (+ (* -1/256 (/ (* (pow y 4) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y))) z)) (* 1/4096 (/ (* (pow y 6) (pow (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y))) 2)) z))) (* -1/256 (* (pow y 4) (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) z)) (* -1/16 (pow y 2))) (pow z 2)) |
(/.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 y y)) (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 (fma.f64 #s(literal 3/4 binary64) y x) (/.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 3/4 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)) y) #s(literal 1 binary64)) z)) #s(literal -1/256 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (+.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 3/4 binary64)) y) (/.f64 (fma.f64 #s(literal 3/4 binary64) y x) (*.f64 y y))) (neg.f64 (/.f64 #s(literal 4 binary64) y))) #s(literal 2 binary64)) z)) #s(literal 1/4096 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (+.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 3/4 binary64)) y) (/.f64 (fma.f64 #s(literal 3/4 binary64) y x) (*.f64 y y))) (neg.f64 (/.f64 #s(literal 4 binary64) y))) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/256 binary64)))) z)) (*.f64 z z)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow y 2) (* (+ (* -1/256 (* (pow y 4) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)))) (* 1/4096 (* (pow y 6) (pow (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y))) 2)))) (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y))))) z)) (* 1/4096 (/ (* (pow y 6) (* (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)) (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y))))) z))) (+ (* -1/256 (* (pow y 4) (+ 1 (/ (* (+ x (* 3/4 y)) (- (* 16 (+ 3/4 (/ x y))) 4)) y)))) (* 1/4096 (* (pow y 6) (pow (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y))) 2))))) z)) (* -1/256 (* (pow y 4) (- (+ (* 16 (/ (+ 3/4 (/ x y)) y)) (* 16 (/ (+ x (* 3/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) z)) (* -1/16 (pow y 2))) (pow z 2)) |
(/.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 y y)) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4096 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (+.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 3/4 binary64)) y) (/.f64 (fma.f64 #s(literal 3/4 binary64) y x) (*.f64 y y))) (neg.f64 (/.f64 #s(literal 4 binary64) y))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/256 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 3/4 binary64) y x) (/.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 3/4 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)) y) #s(literal 1 binary64)))) (fma.f64 #s(literal 16 binary64) (+.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 3/4 binary64)) y) (/.f64 (fma.f64 #s(literal 3/4 binary64) y x) (*.f64 y y))) (neg.f64 (/.f64 #s(literal 4 binary64) y)))) z)) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 3/4 binary64) y x) (/.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 3/4 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)) y) #s(literal 1 binary64))) (fma.f64 #s(literal 16 binary64) (+.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 3/4 binary64)) y) (/.f64 (fma.f64 #s(literal 3/4 binary64) y x) (*.f64 y y))) (neg.f64 (/.f64 #s(literal 4 binary64) y)))) z) #s(literal 1/4096 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4096 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (+.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 3/4 binary64)) y) (/.f64 (fma.f64 #s(literal 3/4 binary64) y x) (*.f64 y y))) (neg.f64 (/.f64 #s(literal 4 binary64) y))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/256 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 3/4 binary64) y x) (/.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 3/4 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)) y) #s(literal 1 binary64))))))) z) #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (+.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 3/4 binary64)) y) (/.f64 (fma.f64 #s(literal 3/4 binary64) y x) (*.f64 y y))) (neg.f64 (/.f64 #s(literal 4 binary64) y))) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/256 binary64))) z)) (*.f64 z z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 286 |
| 0 | 70 | 280 |
| 1 | 316 | 279 |
| 2 | 2448 | 279 |
| 0 | 8124 | 266 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))) |
#s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(/.f64 #s(literal -4 binary64) y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/.f64 x y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) |
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -16 binary64)) (pow.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 64 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -16 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 64 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64))) (*.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) #s(literal 16 binary64))) (*.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)))) |
(/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -16 binary64))) (neg.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 64 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -16 binary64)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 64 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -16 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 64 binary64)))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 4 binary64)) |
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64)) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)))) |
(+.f64 (*.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 4 binary64)) |
(*.f64 #s(literal -4 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) |
(pow.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y #s(literal 1/4 binary64)))) |
(/.f64 #s(literal -4 binary64) (neg.f64 y)) |
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal 4 binary64) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/4 binary64))) |
(neg.f64 (/.f64 #s(literal -4 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal -1 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
(*.f64 (*.f64 #s(literal -4 binary64) z) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) (/.f64 z y)) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
(pow.f64 (/.f64 y (*.f64 #s(literal -4 binary64) z)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 4 binary64) z) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -1/4 binary64))) |
(/.f64 (*.f64 (neg.f64 z) #s(literal -4 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 z)) (neg.f64 y)) |
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 y #s(literal -1/4 binary64))) |
(/.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) z)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(/.f64 #s(literal -4 binary64) (/.f64 y z)) |
(/.f64 z (*.f64 y #s(literal -1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal -4 binary64) z))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 4 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) y)) |
(pow.f64 (/.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y #s(literal -1/4 binary64)))) |
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal -4 binary64) y) |
(/.f64 #s(literal 4 binary64) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/4 binary64))) |
(neg.f64 (/.f64 #s(literal 4 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal -1/4 binary64))) #s(literal -1 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
(*.f64 (*.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(*.f64 (/.f64 #s(literal 4 binary64) y) x) |
(*.f64 x (/.f64 #s(literal 4 binary64) y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(pow.f64 (/.f64 y (*.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 4 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal -4 binary64) x) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1/4 binary64))) |
(/.f64 (*.f64 #s(literal 4 binary64) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 x #s(literal -4 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 4 binary64))) (neg.f64 y)) |
(/.f64 (*.f64 x #s(literal 4 binary64)) y) |
(/.f64 x (*.f64 y #s(literal 1/4 binary64))) |
(/.f64 #s(literal 4 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 4 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 x (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x))) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(neg.f64 (/.f64 x (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(*.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
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(/.f64 (pow.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 3/4 binary64) y (+.f64 z x)) y) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y (+.f64 z x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64))) y) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal 3/4 binary64) y x) (neg.f64 y)) (*.f64 y (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (neg.f64 y)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal 3/4 binary64) y x) y) (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal 3/4 binary64) y x) (/.f64 y z)) (*.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y z)) #s(literal 3 binary64))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z))) (pow.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64))) (neg.f64 y)) |
(/.f64 (*.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) (pow.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64))) y) |
(/.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)))) (neg.f64 y)) |
(/.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)))) |
(/.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64)) (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z))) y) |
(/.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (fma.f64 #s(literal 3/4 binary64) y (+.f64 z x))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (fma.f64 z (fma.f64 #s(literal 3/4 binary64) y (+.f64 z x)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z))) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (/.f64 y (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 y (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z))) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z))) #s(literal 3 binary64))) |
(neg.f64 (pow.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z))) y) #s(literal 3 binary64))) |
(neg.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) (neg.f64 y)) #s(literal 3 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z))) #s(literal 3 binary64)) (*.f64 (log.f64 y) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y)) #s(literal 3/2 binary64) (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y)) #s(literal 3/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z))) #s(literal -3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 1 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 1 binary64)))) |
(pow.f64 (exp.f64 (log.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 1 binary64)))) |
(neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) (/.f64 (fma.f64 #s(literal 3/4 binary64) y (-.f64 x z)) y) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
Compiled 40 795 to 3 787 computations (90.7% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 674 | 2 | 676 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 676 | 7 | 683 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 69.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
| ✓ | 68.1% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) |
| ✓ | 66.8% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
| ✓ | 37.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
| ▶ | 65.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) |
| ▶ | 35.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) |
| ✓ | 35.2% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
Compiled 145 to 119 computations (17.9% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) | |
| cost-diff | 704 | (-.f64 (/.f64 x y) (/.f64 z y)) | |
| cost-diff | 0 | (*.f64 #s(literal -4 binary64) z) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -4 binary64) z) y) | |
| cost-diff | 0 | #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 100 |
| 0 | 31 | 100 |
| 1 | 50 | 100 |
| 2 | 91 | 100 |
| 3 | 163 | 100 |
| 4 | 303 | 95 |
| 5 | 620 | 86 |
| 6 | 1201 | 86 |
| 7 | 2197 | 86 |
| 8 | 4057 | 86 |
| 9 | 5459 | 86 |
| 10 | 5864 | 86 |
| 11 | 5906 | 86 |
| 12 | 5917 | 86 |
| 13 | 5919 | 86 |
| 14 | 6141 | 86 |
| 15 | 6249 | 86 |
| 16 | 6249 | 86 |
| 17 | 6249 | 86 |
| 18 | 6249 | 86 |
| 19 | 6281 | 86 |
| 20 | 6393 | 86 |
| 0 | 6393 | 82 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) |
#s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(*.f64 #s(literal -4 binary64) z) |
#s(literal -4 binary64) |
z |
y |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) |
(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 x y) |
x |
y |
(/.f64 z y) |
z |
#s(literal 4 binary64) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))) |
#s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) |
#s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(*.f64 #s(literal -4 binary64) z) |
#s(literal -4 binary64) |
z |
y |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64))) |
(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)) |
(*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 (-.f64 x z) y) |
(/.f64 x y) |
x |
y |
(/.f64 z y) |
z |
#s(literal 4 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)) | |
| accuracy | 0.7617125574906174 | (-.f64 (/.f64 x y) (/.f64 z y)) | |
| accuracy | 21.23846852852424 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) | |
| accuracy | 0 | (/.f64 (*.f64 #s(literal -4 binary64) z) y) | |
| accuracy | 0 | (*.f64 #s(literal -4 binary64) z) | |
| accuracy | 20.425992743854447 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) | |
| accuracy | 32.66799710711054 | #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) |
| 64.0ms | 256× | 0 | valid |
Compiled 172 to 50 computations (70.9% saved)
ival-mult: 8.0ms (38.6% of total)ival-div: 7.0ms (33.8% of total)ival-add: 3.0ms (14.5% of total)ival-sub: 2.0ms (9.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) |
#s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(*.f64 #s(literal -4 binary64) z) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) |
(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)) |
(/.f64 x y) |
| Outputs |
|---|
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(* -1 (/ z y)) |
(- (/ x y) (/ z y)) |
(* -4 (/ z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(/ x y) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(/ (+ (* -4 z) (* 4 y)) y) |
(/ (- x z) y) |
4 |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 4 (* -4 (/ z y))) |
(* -1 (/ (- (* -1 x) (* -1 z)) y)) |
(* -4 (/ (- (* -1 x) (* -1 z)) y)) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(* -4 z) |
(+ (* -1 (/ z y)) (/ x y)) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z))))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* -4 (/ z y)) 4) (/ (* -4 z) y) (* -4 z) (- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y)) |
| 1.0ms | z | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* -4 (/ z y)) 4) (/ (* -4 z) y) (* -4 z) (- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y)) |
| 1.0ms | z | @ | -inf | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* -4 (/ z y)) 4) (/ (* -4 z) y) (* -4 z) (- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y)) |
| 1.0ms | z | @ | 0 | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* -4 (/ z y)) 4) (/ (* -4 z) y) (* -4 z) (- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y)) |
| 1.0ms | x | @ | -inf | ((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* -4 (/ z y)) 4) (/ (* -4 z) y) (* -4 z) (- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 326 |
| 1 | 342 | 326 |
| 2 | 989 | 236 |
| 3 | 3294 | 234 |
| 4 | 7264 | 230 |
| 0 | 8034 | 217 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(* -1 (/ z y)) |
(- (/ x y) (/ z y)) |
(* -4 (/ z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(/ x y) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(/ (+ (* -4 z) (* 4 y)) y) |
(/ (- x z) y) |
4 |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 4 (* -4 (/ z y))) |
(* -1 (/ (- (* -1 x) (* -1 z)) y)) |
(* -4 (/ (- (* -1 x) (* -1 z)) y)) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(* -4 z) |
(+ (* -1 (/ z y)) (/ x y)) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z))))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
| Outputs |
|---|
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 4 binary64)) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(- (/ x y) (/ z y)) |
(/.f64 (-.f64 x z) y) |
(* -4 (/ z y)) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)) |
(/ x y) |
(/.f64 x y) |
(* 4 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 4 binary64)) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(/.f64 (-.f64 x z) y) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(/.f64 (-.f64 x z) y) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)) |
(* 4 (/ (- x z) y)) |
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 4 binary64)) |
(/ (+ (* -4 z) (* 4 y)) y) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 y z)) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 4 binary64)) |
(+ 4 (* -4 (/ z y))) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) |
(* -1 (/ (- (* -1 x) (* -1 z)) y)) |
(/.f64 (-.f64 x z) y) |
(* -4 (/ (- (* -1 x) (* -1 z)) y)) |
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 4 binary64)) |
(* -4 z) |
(*.f64 #s(literal -4 binary64) z) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 4 binary64)) |
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(/.f64 (-.f64 x z) y) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 4 binary64)) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z))))) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(/.f64 (-.f64 x z) y) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 90 |
| 0 | 31 | 84 |
| 1 | 141 | 84 |
| 2 | 1273 | 84 |
| 0 | 8255 | 78 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) |
#s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(*.f64 #s(literal -4 binary64) z) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) |
(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)) |
(/.f64 x y) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
(*.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y)) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -4 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) z)) |
(*.f64 (*.f64 z #s(literal 4 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(*.f64 (*.f64 #s(literal -4 binary64) z) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -4 binary64) (/.f64 z y)) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
(*.f64 z (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -4 binary64))) |
(*.f64 z (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 #s(literal 4 binary64) (/.f64 (neg.f64 z) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
(pow.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 y z)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 z #s(literal 4 binary64)))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 z #s(literal 4 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64)) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 y z)))) |
(/.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(/.f64 #s(literal -4 binary64) (/.f64 y z)) |
(/.f64 #s(literal 4 binary64) (neg.f64 (/.f64 y z))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 y z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 y z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 y z))) |
(neg.f64 (/.f64 (*.f64 z #s(literal 4 binary64)) y)) |
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 z y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 #s(literal 4 binary64) (/.f64 z y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 y z))) #s(literal -1 binary64))) |
(*.f64 #s(literal -4 binary64) z) |
(*.f64 z #s(literal -4 binary64)) |
(*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z)) (pow.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 x z) y) (+.f64 x z))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (pow.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 x z)) |
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (-.f64 x z) (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y y) (fma.f64 y x (*.f64 (neg.f64 y) z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (-.f64 x z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z))) (fma.f64 (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z))) (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z))) (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y y) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y y) (/.f64 z y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 y y) (/.f64 x y)) (*.f64 (/.f64 y y) (/.f64 x y)) (fma.f64 (*.f64 (/.f64 y y) (/.f64 z y)) (*.f64 (/.f64 y y) (/.f64 z y)) (*.f64 (*.f64 (/.f64 y y) (/.f64 x y)) (*.f64 (/.f64 y y) (/.f64 z y)))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 z) y) (/.f64 x y))))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) y)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)))) (neg.f64 (neg.f64 (*.f64 y y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 x z))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 z)))) (neg.f64 (*.f64 y y))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) z))) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 y) (/.f64 y z)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 y (neg.f64 z)))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x (/.f64 y z)) (*.f64 y #s(literal 1 binary64)))) (neg.f64 (*.f64 y (/.f64 y z)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 y x) (neg.f64 z)))) (neg.f64 (*.f64 (/.f64 y x) (neg.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z))) (neg.f64 (*.f64 (/.f64 y x) y))) |
(/.f64 (neg.f64 (-.f64 (/.f64 y z) (*.f64 (/.f64 y x) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 y x) (/.f64 y z)))) |
(/.f64 (neg.f64 (-.f64 (neg.f64 x) (neg.f64 z))) (neg.f64 (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z))) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 z y))) (*.f64 (*.f64 y y) (*.f64 y y))) |
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(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y x (*.f64 (neg.f64 y) z)))) (neg.f64 (*.f64 y y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z))) (neg.f64 y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) #s(literal 4 binary64)) (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) #s(literal 4 binary64)) (*.f64 y y)) |
(/.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64)) y) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x z)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y x (*.f64 (neg.f64 y) z))) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(fma.f64 (/.f64 x y) #s(literal 4 binary64) (*.f64 (/.f64 (neg.f64 z) y) #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
(+.f64 (*.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (/.f64 (neg.f64 z) y) #s(literal 4 binary64))) |
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 x (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(neg.f64 (/.f64 x (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
Compiled 7 692 to 1 066 computations (86.1% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 230 | 0 | 230 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 5 | 5 |
| Total | 230 | 7 | 237 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 69.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
| ✓ | 68.1% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) |
| ✓ | 66.8% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
| ✓ | 37.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
| ✓ | 65.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) |
| ✓ | 35.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) |
| ✓ | 35.2% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
Compiled 447 to 198 computations (55.7% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal 4 binary64) x)) y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (+ x (* y 3/4)) z) (-.f64 x z))) y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
5 calls:
| 6.0ms | z |
| 5.0ms | y |
| 5.0ms | x |
| 4.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 4.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 99.9% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
Compiled 27 to 31 computations (-14.8% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal 4 binary64) x)) y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (+ x (* y 3/4)) z) (-.f64 x z))) y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))) |
5 calls:
| 5.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | z |
| 4.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 99.8% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
Compiled 27 to 31 computations (-14.8% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 #s(literal 4 binary64) x)) y)) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
5 calls:
| 5.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 4.0ms | y |
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.1% | 3 | y |
| 88.6% | 3 | z |
| 92.0% | 3 | x |
| 99.7% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 99.7% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
Compiled 27 to 31 computations (-14.8% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) |
3 calls:
| 3.0ms | x |
| 3.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 3.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 3 | x |
| 74.6% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 74.6% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
Compiled 25 to 25 computations (0% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
3 calls:
| 6.0ms | x |
| 3.0ms | z |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.3% | 3 | z |
| 72.2% | 3 | y |
| 86.3% | 3 | x |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
5 calls:
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 2.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.9% | 5 | z |
| 61.9% | 5 | y |
| 75.4% | 6 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 75.4% | 6 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 63.3% | 4 | x |
Compiled 27 to 31 computations (-14.8% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) |
2 calls:
| 2.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 2.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.1% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 67.1% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
Compiled 24 to 22 computations (8.3% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))) |
2 calls:
| 31.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 2.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.0% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 67.0% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
Compiled 24 to 22 computations (8.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
5 calls:
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 1.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.2% | 1 | z |
| 35.2% | 1 | y |
| 35.2% | 1 | x |
| 35.2% | 1 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 35.2% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
Compiled 27 to 31 computations (-14.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.466871444235598 | 1.9495550142936205e+23 |
| 0.0ms | -1.4834373746133404e+26 | -5.983350838093422e+20 |
Compiled 16 to 18 computations (-12.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 57230096604181096.0 | 2.5028223254015427e+31 |
| 18.0ms | -5.353391787176089e+125 | -3.644252364006908e+119 |
| 24.0ms | 304× | 0 | valid |
Compiled 776 to 683 computations (12% saved)
ival-mult: 7.0ms (42.8% of total)ival-add: 5.0ms (30.6% of total)ival-div: 2.0ms (12.2% of total)ival-sub: 1.0ms (6.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.1897764948575926e+64 | 3.832525317121559e+64 |
| 4.0ms | -5.353391787176089e+125 | -3.644252364006908e+119 |
| 7.0ms | 112× | 0 | valid |
Compiled 562 to 508 computations (9.6% saved)
ival-mult: 2.0ms (48.1% of total)ival-sub: 1.0ms (24.1% of total)ival-div: 1.0ms (24.1% of total)ival-add: 1.0ms (24.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 5× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.876498069374708e+232 | 8.36363819267768e+233 |
| 0.0ms | 8.24766148459173e+76 | 6.445474790598875e+80 |
| 0.0ms | 1.9495550142936205e+23 | 4.178682891022073e+24 |
| 0.0ms | -15.4100138793401 | 2.999994864520287 |
| 0.0ms | -3.061915416315872e+139 | -4.843177728956696e+130 |
Compiled 16 to 18 computations (-12.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.466871444235598 | 1.9495550142936205e+23 |
| 0.0ms | -15.4100138793401 | 2.999994864520287 |
Compiled 16 to 18 computations (-12.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.466871444235598 | 1.9495550142936205e+23 |
| 0.0ms | -15.4100138793401 | 2.999994864520287 |
Compiled 16 to 18 computations (-12.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 664 |
| 1 | 97 | 664 |
| 2 | 102 | 664 |
| 3 | 104 | 664 |
| 4 | 105 | 664 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -100000000000000004764729344 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))))) |
(if (<=.f64 x #s(literal -449999999999999997308681950300087188680719798884392920375445460536620676860712234773193154961829820082200254884330304700416 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) (if (<=.f64 x #s(literal 400000000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))))) |
(if (<=.f64 x #s(literal -539999999999999967413636055687189277798356298794558662254502691289946428391717537575218972021590240802402826051587577741312 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 38000000000000001102476249825447664788184765651439271908611194880 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 199999999999999983222784 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 99999999999999997374062707399103193390970327051935144057886852787877127050853725394623645022622268104986814019040754458979257737456796162759919727807229498567311142603806310797883499542489243201826933949562808949044795771481474727936 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
(+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 1 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -100000000000000004764729344 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -100000000000000004764729344 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))))) |
(if (<=.f64 x #s(literal -449999999999999997308681950300087188680719798884392920375445460536620676860712234773193154961829820082200254884330304700416 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))) (if (<=.f64 x #s(literal 400000000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))))) |
(if (<=.f64 x #s(literal -539999999999999967413636055687189277798356298794558662254502691289946428391717537575218972021590240802402826051587577741312 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 38000000000000001102476249825447664788184765651439271908611194880 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 199999999999999983222784 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 99999999999999997374062707399103193390970327051935144057886852787877127050853725394623645022622268104986814019040754458979257737456796162759919727807229498567311142603806310797883499542489243201826933949562808949044795771481474727936 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))))))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) (if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 199999999999999983222784 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 99999999999999997374062707399103193390970327051935144057886852787877127050853725394623645022622268104986814019040754458979257737456796162759919727807229498567311142603806310797883499542489243201826933949562808949044795771481474727936 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))) (if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (/.f64 (*.f64 #s(literal -4 binary64) z) y))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))) (if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 5 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(approx (+ (* -4 (/ z y)) 4) (*.f64 (/.f64 #s(literal -4 binary64) y) z))))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 286 |
| 0 | 70 | 280 |
| 1 | 316 | 279 |
| 2 | 2448 | 279 |
| 0 | 8124 | 266 |
| 0 | 148 | 491 |
| 1 | 446 | 491 |
| 2 | 1224 | 425 |
| 3 | 3679 | 407 |
| 0 | 8264 | 364 |
| 0 | 173 | 603 |
| 1 | 520 | 603 |
| 2 | 1479 | 471 |
| 3 | 4385 | 471 |
| 4 | 7912 | 469 |
| 0 | 8777 | 422 |
| 0 | 29 | 165 |
| 0 | 43 | 165 |
| 1 | 193 | 165 |
| 2 | 1537 | 165 |
| 0 | 8718 | 152 |
| 1× | done |
| 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 |
Compiled 760 to 208 computations (72.6% saved)
Compiled 1 354 to 198 computations (85.4% saved)
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